Find the values of the variables in the parallelogram. The diagram is not to scale.
Answers
Answer:
A
Step-by-step explanation:
Opposite angles of a parallelogram are equal, so z = 96.
Alternate interior angles are congruent, so x = 31.
Angles of a triangle add up to 180, so y = 53.
Based on the parallelogram shown above, the values of the variables are: x = 31°, y = 53°, z = 96°.
What is a parallelogram?In Mathematics, a parallelogram is a type of quadrilateral and two-dimensional geometrical figure that is composed of two equal and parallel opposite sides.
According to the opposite angles theorem, the opposite angles of a parallelogram are always congruent or equal and as such, we have the following:
m∠z = 96°
Based on the alternate interior angles theorem, angles on opposite of a line are congruent;
x = 31°.
Based on angle sum property, we have the following supplementary angles;
x + y + z = 180
31° + y + 96° = 180°
y = 180° - 127°
y = 53°.
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Related Questions
One number is 4 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 538, find the numbers
Answers
Answer:
73
292
173
Step-by-step explanation:
x = first number
4x = second number
100 + x = third number
x + 4x + 100 + x = 538
6x + 100 = 538
6x + 100 - 100 = 538 - 100
6x = 438
6x/6 = 438/6
x = 73
Check:
73 + 4(73) + 100 + 73 = 538
73 + 292 + 173 = 538
538 = 538
Answer:
The numbers are 73, 173 and 292.
Step-by-step explanation:
If the numbers are x, y and z we have:
y = 4x
z = x + 100
x + y + z = 538
Substituting for y in the last equation:
x + 4x + z = 538
5x + z = 538.............(1)
From the second equation:
z - x = 100................(2)
Equation (1) - (2) gives:
6x = 438
x = 73
Therefore y = 4x) = 4(73) = 292
and z = x + 100 = 73 + 100 = 173.
A 95-foot wire attached from the top of a cell phone tower makes a 62 degree angle with the ground. Joey is standing 150 feet behind the wire, looking up at the tower. Find the angle of elevation from the point on the ground where Joey is standing to the top of the tower.
Answers
Answer:
23.32 degrees
Step-by-step explanation:
We set up a large right triangle that has 2 triangles within it. The large triangle is a right triangle. The height of it is the height of the tower, the base angle is 62, the hypotenuse is 95, and the base measure is y. The other triangle has the same height which is the height of the tower, the angle is what we are looking for, and the base measure is 150 feet beyond y, so its measure is y + 150. We have enough information to find the height of the tower, so let's do that first. Going back to the first smaller triangle.
[tex]sin62=\frac{x}{95}[/tex] so the height of the tower is 83.88 feet. Now we need to solve for y. Using that same triangle and the tangent ratio, we find that [tex]tan62=\frac{83.88}{y}[/tex]. Now let's do the same thing for the other triangle with the unknown angle.
[tex]tan\beta =\frac{83.88}{y+150}[/tex]
Solve both of these for y. The first one solved for y:
[tex]y=\frac{83.88}{tan62}[/tex]
The second one solved for y will simplify to:
[tex]y=\frac{83.88-150tan\beta }{tan\beta }[/tex]
Now that these are both solved for y, and y = y, we can set them equal to each other by the transitive property of equality:
[tex]\frac{83.88-150tan\beta }{tan\beta }=\frac{83.88}{tan62}[/tex]
Cross multiply to get this big long messy looking thing:
[tex]tan62(83.88-150tan\beta )=83.88tan\beta[/tex]
Distribute through the parenthesis to get
[tex]83.88tan62-[(tan62)(150tan\beta)]=83.88tan\beta[/tex]
Get the unknown angles on the same side so it can be factored out:
[tex]83.88tan62=83.88tan\beta +[(tan62)(150tan\beta )][/tex]
And then factoring it out gives you:
[tex]83.88tan62=tan\beta(83.88+150tan62)[/tex]
Divide to get
[tex]tan\beta =\frac{83.88tan62}{83.88+150tan62}[/tex]
Do this on your calculator in degree mode to give you an angle measure of 23.32°. I know this is really hard to follow without being able to draw the pics for you like I do in my classroom, but hopefully you can follow my description and draw your own triangles and follow from that!
An angle of elevation is formed by two reference lines; the horizontal line and the line from the reference point to the point in view
The angle of elevation from the point on the ground where Joey is standing to the top of the tower is approximately 23.318°
Reason:
Given parameter;
Length of the wire = 95 ft.
Angle formed by the wire and the ground = 62°
Location Joey is standing behind the wire, L = 150 feet
Required:
The angle of elevation from the ground at the point where Joey is standing to the top of the tower
Solution:
The height of the tower, h = 95 × sin(62°) ≈ 83.88 feet
Distance of the tower to the point the wire touches the ground, d, is given as follows;
d = 95 × sin(62°) ≈ 44.6 ft.
The distance of of Joey from the base of the tower, D = L + d
D = 150 ft. + 44.6 ft. = 194.6 ft.
Distance of Joey from the base of the tower, D = 194.6 ft.
Let θ represent the angle of elevation from the point on the ground where Joey is standing to the top of the tower, we have;
[tex]tan(\theta ) = \dfrac{h}{D}[/tex]
Therefore;
[tex]\theta = arctan \left(\dfrac{h}{D} \right)[/tex]Which gives;
[tex]\theta = arctan \left(\dfrac{83.88}{194.6} \right) \approx 23.318^{\circ}[/tex]The angle of elevation from the point on the ground where Joey is standing to the top of the tower, θ ≈ 23.318°
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math help no guesses how do u solve it plz
The first figure of the Sierpinski triangle has one shaded triangle. The second figure of the Sierpinski triangle has three shaded triangles. The third figure of the Sierpinski triangle has nine shaded triangles. Which summation represents the total number of shaded triangles in the first 15 figures?
Answers
Answer:
see below
Step-by-step explanation:
You want terms that have a common ratio of 3, so the term in the summation will be 3 to some power. Only the first expression matches that requirement.
You can try different values of n to see if they fit the problem description.
n = 1: 1(3)^0 = 1(1) = 1
n = 2: 1(3)^1 = 1(3) = 3
n = 3: 1(3)^2 = 1(9) = 9 . . . . . the third triangle in the set has 9 shaded triangles, as this expression predicts. Thus, we see the problem description being matched by the first answer choice shown.
Answer:
A
Step-by-step explanation:
egde 2020
Please help me out with this
Answers
Answer:
374.1
Step-by-step explanation:
Area of Hexagon = [tex]\frac{3\sqrt{3} }{2} * a^{2}[/tex]
The ' a ' is the side length.
So now we just plug in the values
[tex]\frac{3\sqrt{3} }{2} *12^{2}[/tex] = 374.12
What is the product of (4x + 3)(-2x - 5)?
Answers
Answer:
Expand the polynomial using the FOIL method.
− 8 x^ 2- 26 x − 15
Madame Pickney has a rather extensive art collection and the overall value of her collection has been increasing each year. Three years ago, her collection was worth $600,000. Two years ago, the value of the collection was $690,000 and last year, the collection was valued at $793,500.
Assume that the rate at which Madame Pickney’s art collection’s value increase remains the same as it has been for the last three years. The value of the art collection can be represented by a geometric sequence. The value of the collection three years ago is considered the first term in the sequence.
What explicit rule can be used to determine the value of her art collection n years after that?
Answers
Answer:
an = 600,000 (1.15)^(n-1)
Step-by-step explanation:
So the first year, a₁ = 600,000. The next year, a₂ = 690,000. So:
r = a₂ / a₁
r = 690,000 / 600,000
r = 1.15
So an = 600,000 (1.15)^(n-1).
Your answer is correct!
Simplify the complex fraction
((3x-7)/x^2)/(x^2/2)+(2/x)
I really need steps on how to do this properly cause I really can't figure it out[tex]\frac{\frac{3x-7}{x^2} }{\frac{x^2}{2}+ \frac{2}{x} }[/tex]
Answers
Answer:
The simplest form is 2(3x - 7)/x(x³ + 4)
Step-by-step explanation:
* Lets revise how can divide fraction by fraction
- To simplify (a/b)/(c/d), change it to (a/b) ÷ (c/d)
∵ a/b ÷ c/d
- To solve it change the division sign to multiplication sign and
reciprocal the fraction after the sign
∴ a/b × d/c = ad/bc
* Now lets solve the problem
∵ [tex]\frac{\frac{3x-7}{x^{2}}}{\frac{x^{2}}{2}+\frac{2}{x}}[/tex]
- Lets take the denominator and simplify by make it a single
fraction, let the denominator of it 2x and change
the numerator
∴ [tex]\frac{x^{2}}{2}+\frac{2}{x}=\frac{x(x^{2})+2(2)}{(2)(x)}=\frac{x^{3}+4}{2x}[/tex]
∴ The fraction = [tex]\frac{\frac{3x-7}{x^{2}}}{\frac{x^{3}+4}{2x}}[/tex]
* Now lets change it by (up ÷ down)
∴ [tex]\frac{3x-7}{x^{2}}[/tex] ÷ [tex]\frac{x^{3}+4}{2x}[/tex]
- Change the division sign to multiplication sign and reciprocal
the fraction after the sign
∴ [tex]\frac{3x-7}{x^{2}}[/tex] × [tex]\frac{2x}{x^{3}+4}[/tex]
∴ [tex]\frac{(2x)(3x-7)}{(x^{2})(x^{3}+4)}[/tex]
- We can simplify x up with x down
∴ [tex]\frac{2(3x-7)}{x(x^{3}+4)}[/tex]
* The simplest form is 2(3x - 7)/x(x³ + 4)
The equation for the number of pizzas a store has on hand is modeled by the linear equation y = 148 – 24d, where d is the number of days. How many pizzas will the store have on hand after five days?
A. 120
B. 76
C. 124
D. 28
Answers
The store will have 29 pizzas.
This is because:
Y = pizzasD = daysY = 148 -24DY=148-24(5)Y=148-120Y=28D is the correct answer
Antoine has $18.20 to spend on some oranges and a pumpkin. Oranges cost
$1.30 per pound, and a pumpkin costs $5.20
The inequality 1.30x + 5.20 18.20 models this situation, where x is the
number of pounds of oranges.
Solve the inequality. How many pounds of oranges can Antoine buy?
Answers
Answer:
10 pounds
Step-by-step explanation:
You forgot the inequality sing, but since Antoine can't spend more than $18.20, I am positive that the sign is [tex]\leq[/tex] (Antony can spend $18.20 or less than $18.20).
Therefore, our inequality is: [tex]1.30x+5.20\leq 18.20[/tex]
where [tex]x[/tex] is the pounds of oranges
Let's solve step-by-step to find how many pounds of oranges he can buy
Step 1. Subtract 5.20 fro both sides of the inequality
[tex]1.30x+5.20-5.20\leq 18.20-5.20[/tex]
[tex]1.30x\leq 13[/tex]
Step 2. Divide both sides of the inequality by 1.30
[tex]\frac{1.30x}{1.30} \leq \frac{13}{1.30}[/tex]
[tex]x\leq 10[/tex]
We can conclude that Antony can buy 10 pounds of oranges.
Which function transforms the graph of y=x^2 so that it is first shifted down 2 units and is then reflected across the x-axis?
A. [tex]y=(-x)^2+2[/tex]
B. [tex]y=-x^2+2[/tex]
C. [tex]y=-x^2-2[/tex]
D. [tex]y=-(x+2)^2[/tex]
Answers
the awnser should be -x^2 +2
Answer:
y = -x^2+2
Step-by-step explanation:
shift down y=x^2 for 2 units then it becomes y = x^2-2
reflect across x-axis then it becomes y = -(x^2-2) which is y = -x^2+2
bagian dari populasi yang diambil sebagai sasaran pengamatan atau penelitian disebut? jjaawwaabb yyaa
Answers
The temperature Saturday is -13°, and on Sunday it is -4°. Which equation would be used to show the difference in temperature from Saturday to Sunday?
-4 + 13 =
-4 - (-13) =
-4 - 13
4 + (-13)
Answers
To find the change in the temperature, solve for the equation below.
[tex]x - 13 = -4[/tex]
We now know that the temperature changed by 9 degrees.
[tex]x = 9[/tex]
So, we are looking for the answer which indicates that the temperature changed by 9 degrees.
[tex]-4 + 13 = 9[/tex]
The equation that would be used to show the difference in temperature from Saturday to Sunday is -4 + 13 = 9.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The temperature Saturday is -13°, and on Sunday it is -4°.
The change in the temperature, solve the equation below.
x - 13 = -4
Now, we know that the temperature changed by 9 degrees.
x = 9
The answer indicates that the temperature changed by 9 degrees.
-4 + 13 =9
The equation that would be used to show the difference in temperature from Saturday to Sunday is -4 + 13 = 9.
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given f(3)=7 and f(5)=252 write the first 6 terms of the sequence. no decimals
Answers
[tex]\bf \begin{array}{|cl|ll} \cline{1-2} term&value\\ \cline{1-2} f(1)&\\ f(2)&\\ f(3)&7\\ f(4)&7r\\ f(5)&7rr\\ &252\\ \cline{1-2} \end{array}\qquad \qquad 7rr=252\implies 7r^2=252\implies r^2=\cfrac{252}{7} \\\\\\ r^2=36\implies r=\sqrt{36}\implies r=6 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|cl|ll} \cline{1-2} term&value\\ \cline{1-2} f(1)&\stackrel{\frac{7}{6}\div 6}{\cfrac{7}{36}}\\ &\\ f(2)&\stackrel{7\div 6}{\cfrac{7}{6}}\\ &\\ f(3)&7\\ f(4)&42\\ f(5)&252\\ f(6)&1512\\ \cline{1-2} \end{array}[/tex]
notice, once we know what the common factor "r" is, from the 3rd term we can simply multiply it by "r" to get the next term, and divide the 3rd term by "r" in order to get the previous term, namely the 2nd term, and then divide the 2nd by "r" to get the 1st one.
which expression shows 9 sqrt 16^3 in simplified radical form with the smallest possible index?
Answers
Answer:
16^3 is 16^(3/9) = 16^(1/3) = 2 ³√2
Step-by-step explanation:
is it 9 times square root of 16 cubed, or is it really 9th root? I think it's
9th root of 16^3 is 16^(3/9) = 16^(1/3) = 2 ³√2
In triangle STU, UT=5 and angleS=21. Find SU to the nearest tenth
Answers
The answer is:
The second option,
[tex]SU=13.02=13[/tex]
Why?We are working with a right triangle, it means that we can use the following trigonometric property:
[tex]Tan(\alpha)=\frac{Opposite}{Adjacent}[/tex]
Which applied to our problem, will be:
[tex]Tan(\alpha)=\frac{TU}{SU}[/tex]
We are given:
m∠S, equal to 21°
The side TU (opposite) equal to 5 units.
So, substituting and calculating we have:
[tex]SU=\frac{TU}{Tan(\alpha)}[/tex]
[tex]SU=\frac{5units}{Tan(21\°)}[/tex]
[tex]SU=13.02=13[/tex]
Hence, the answer is the second option
[tex]SU=13.02=13[/tex]
Have a nice day!
Answer:
13.0
Step-by-step explanation:
The given angle is m<S=21.
The given side length UT=5 units.
This side length is opposite to the given angle.
Since we want to find SU, the adjacent side; we use the tangent ratio to obtain;
[tex]\tan 21\degree=\frac{opposite}{adjacent}[/tex]
[tex]\tan 21\degree=\frac{5}{SU}[/tex]
This implies that;
[tex]SU=\frac{5}{\tan 21\degree}[/tex]
Therefore SU=13.025
The nearest tenth
SU=13.0
HELLO? HELLO? ANYONE THERE TO ANSWER
Answers
Answer:
-2u + w ⇒ answer B
Step-by-step explanation:
* To solve this problem you must find the result from the graph
- The ray move from the origin 6 units to the left and then 1 unit up
∴ The result is <-6 , 1>
* Now lets check which answer give the same result
∵ u = <5 , -5> , v = <1 , -4> , w = <4 , -9>
# Answer A: w - 2v
∵ w = <4 , -9>
- Find 2v by multiply v by 2
∵ 2v = 2<1 , -4> = <2 , -8>
- Subtract 2v from w
∴ w - 2v = <4 , -9> - <2 , -8> = <(4 - 2) , (-9 - -8)> = <2 , -1> ≠ <-6 , 1>
# Answer B: -2u + w
∵ u = <5 , -5>
- Find -2u by multiply u by -2
∵ -2u = -2<5 , -5> = <-10 , 10>
- Add -2u and w
∵ w = <4 , -9>
∴ -2u + w = <-10 , 10> + <4 , -9> = <(-10 + 4) , (10 + -9)> = <-6 , 1> = <-6 , 1>
∴ The answer is B
Answer:
your answer would be b
Step-by-step explanation:
Help asap!!!
What is the measure in degrees for the central angle of a circle whose radius is 6.5 cm and intercepted arc length is 5.7 cm? Round to the nearest hundredth if necessary
61.89
50.27
31.45
55.81
Answers
[tex]\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ r=6.5\\ s=5.7 \end{cases}\implies 5.7=\cfrac{\theta \pi (6.5)}{180}\implies 1026=6.5\pi \theta \\\\\\ \cfrac{1026}{6.5\pi }=\theta \implies \stackrel{\textit{rounded up, using }\pi =3.14}{50.27=\theta }[/tex]
The measure of the angle at the centre of the circle made by the arc of length 5.7 cm that has a radius of 6.5 cm is 50.27°.
What is the Length of an Arc?Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,
[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}[/tex]
where
θ is the angle, that arc creates at the centre of the circle in degree.
As we know that the length of an arc is given by the formula,
[tex]\rm{ Length\ of\ an\ Arc = 2\pi r \times \dfrac{\theta}{360^o}[/tex]
Given the length of the arc is 5.7 cm, while the radius of the circle is 6.5cm, therefore, the angle made by the arc at the centre of the circle is,
[tex]5.7 = 2\pi (6.5) \times \dfrac{\theta}{360^o}\\\\[/tex]
θ = 50.27°
Hence, the measure of the angle at the centre of the circle made by the arc of length 5.7 cm that has a radius of 6.5 cm is 50.27°.
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Identify the area of segment MNO to the nearest hundredth. HELP PLEASE!!
Answers
The area of a right triangle with side lengths 7 and 7 is [tex]\frac{bh}{2} = \frac{7*7}{2} = \frac{49}{2} = 24.5[/tex]
Answer: ≈ 13.98 in2
Step-by-step explanation:
A segment of a circle is a region bounded by an arc and its chord.
To determine the area of the segment, begin by finding the area of the sector defined by the central angle.
A sector of a circle is a region bounded by two radii of the circle and their intercepted arc.
The formula for the sector area is A = πr2 (m∘/360∘).
It is given in the figure that central angle MNO is a right angle. So, m∠MNO = 90∘. It is also given that r = 7 in.
Substitute the given values into the formula and simplify.
A = π(7)2 (90∘/360∘) = 49/4π in2
Find the area of △MNO.
Since the radii in a circle are congruent, NO = NM = 7. To find the area of △MNO, use the formula for the area of a triangle, A = 1/2bh.
Substitute 7 for b and 7 for h, then simplify.
A = 1/2 (7) (7) = 24.5 in2
The area of the segment is the difference between the two areas, the area of the sector and the area of the triangle.
A = 49/4π − 24.5 ≈ 13.98 in2
Therefore, the area of segment MNO is ≈ 13.98 in2.
Please help me out!!!!!!!!!
Answers
Answer:
16 ft²
Step-by-step explanation:
The area (A) of a triangle is calculated using the formula
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = 8 and h = 4, thus
A = [tex]\frac{1}{2}[/tex] × 8 × 4 = 16 ft²
HELP!!
Polygon ABCDE has the vertices A(2, 8), B(4, 12), C(10, 12), D(8, 8), and E(6, 6). Polygon MNOPQ has the vertices M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8), and Q(-6, 6).
A transformation or sequence of transformations that can be performed on polygon ABCDE to show that it is congruent to polygon MNOPQ is a
If polygon MNOPQ is translated 3 units right and 5 units down, it will coincide with a congruent polygon, VWXYZ, with its vertices at
Answers
Answer:
1). Option C
2). Option A
Step-by-step explanation:
The given vertices of polygon ABCDE are A(2, 8), B(4, 12), C(10, 12), D(8, 8) and E(6, 6)
After reflection new polygon formed MNOPQ has the vertices M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8) and Q(-6, 6).
By comparing the vertices we find the x-coordinates of polygon ABCDE have been changed to MNOPQ by negative notation only.Y- coordinates are same.
Therefore, polygon ABCDE has been reflected across the y-axis.
Option C. is the answer.
If polygon MNOPQ is translated 3 units right and 5 units down then the new vertices of congruent polygon VWXYZ will be
M(-2, 8) = [(-2 - 3), (8 + 5)] = (-5, 13)
N(-4, 12) = [(-4 - 3), (12 + 5)] = (-7, 17)
O(-10, 12) = [(-10 - 3),(12 + 5)] = (-13, 17)
P(-8, 8) = [(-8 - 3), (8 + 5)] = (-11, 13)
Q(-6, 6) = [(-6 -3),(6 + 5)] = (-9, 11)
Therefore, Option A. is the correct option.
Becky has 30 t shirts in a drawer: 12 Concert shirt 8 team shirts and 10 plain shirt. Of the 10 shirts she randomly selects to give to charity 3 are concert shirts.How does this frequency compare to the expected from what’s the frequency based on the probability of randomly selecting a concert shirt.
A. The frequency is 1 fewer than expected
B. The frequency is 9 fewer than expected
C. The frequency is 2 more than expected
D. The frequency is the same as expected
Answers
Answer:
A
Step-by-step explanation:
You take the number of shirts you have and are focusing on. In this case concert (12) and divide it by the total number of shirts to get the expected.
You can use the fact when random picking of t shirts happen, the probability of picking the Concert shirt can be taken by number of concert t shirts in total number of shirt since there is no bias towards a particular t shirt except their frequency.
The frequency of concert shirts obtained out of selected shirts compare to the expected frequency of the concert shirt as:
Option A: The frequency is 1 fewer that expected.
How to get the expected frequency of the object from the whole group?Suppose there are 100 fruits and 50 of them are apples and 50 other are mangoes. Then we can say that each one of the two fruit is apple and other one is mango. This 1 apple per 2 fruit is telling frequency of apples in selected 2 fruits.
Frequency is number of amount that item is present in the selected group.
The expected frequency can be obtained by seeing how many such objects are available to how many total objects.
You can think of expected frequency as how many of the considered object we expect to be present in the total amount of objects.
Thus, we have:
Expected frequency for concert shirt is 12 per 30 shirts or 4 per 10( i divided by 3) shirts or 2 per 5 shirts ( divided by 2). You can convert this to percent or probability too or ratio too like
2:5 = 2/5 = 0.4 = 40% (all four represent how many of the concert shirts are expected to be present out of amount of total shirts selected).
The frequency obtained from the selection contains 3 concert shirts out of 10 selected shirts.
Since the expected frequency of the concert shirts per 10 shirts selected is 4, and the frequency we obtained is 3, thus. the frequency obtained is 1 fewer than the expected.
Thus,
Option A: The frequency obtained is 1 fewer than expected.
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Please help ...............
Answers
Answer:
88.2Step-by-step explanation:
(look at the picture)
We have opposite and adjacent. Therefore we must use the tangent:
[tex]\tangent=\dfrac{opposite}{adjacent}[/tex]
[tex]adjacent=500\\opposite=x\\\tan10^o\approx0.1763[/tex]
Substitute:
[tex]\dfrac{x}{500}\approx0.1763[/tex] multiply both sides by 500
[tex]x\approx88.15\to x\approx88.2[/tex]
What do you call the answer to a subtraction problem
Answers
Answer:
Difference
Step-by-step explanation:
Remember that the therms of any subtraction problem are minuend, subtrahend, and difference.
- The minuend is the number from which you subtract something. For example, in the subtraction problem 4 -3 = 1, 4 is the minuend (you are subtracting 3 form it).
- The subtrahend is the number you subtract (from the minuend). For example, in 4 - 3 = 1, 3 is the subtrahend (you are subtracting 3 from the minuend 4).
- The difference is the result of subtracting the subtrahend form the minuend, in other words, the result of the subtraction problem. For example, in 4 - 3 = 1, 1 is the difference (the result)
We can conclude that the result of a subtraction problem is called the difference.
. In mathematics, the answer to a subtraction problem is called the difference.
For example, when you subtract 3 from 5, you perform the following calculation:
5 - 3 = 2
Here, 2 is the difference. Similarly, if you subtract -6 from 2, you change the sign of the number being subtracted and then add:
2 - (-6) = 2 + 6 = 8
The answer, 8, is the difference as well.
The concept of difference holds true for both scalar and vector quantities. For both types, the difference is the result of the subtraction operation.
Polygon YYY is a scaled copy of Polygon XXX using a scale factor of \dfrac13 3 1 ? start fraction, 1, divided by, 3, end fraction. Polygon YYY's area is what fraction of Polygon XXX's area?
Answers
Answer:
1/9
Step-by-step explanation:
(1/3)^2 = 1/3 x 1/3 =1/9
plus I checked the answer after I got it wrong so...
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
This is a case of enlargement of a figure of scale factor [tex]\frac{1}{3}[/tex].
In any enlargement, [tex]Area(F')=k^2 Area(F)[/tex], where the transformation maps F onto F'.
In this case, let F be polygon XXX and let F' be polygon YYY. Hence,
[tex]Area(YYY) = k^2 Area (XXX)[/tex]
[tex]Area(YYY) = (\frac{1}{3})^2 Area(XXX)[/tex]
[tex]Area(YYY) = \frac{1}{9} Area(XXX)[/tex]
Therefore, the area of polygon YYY is [tex]\frac{1}{9}[/tex] of the area of polygon XXX.
Please help me with this..
Answers
Answer:
w = 93°
Step-by-step explanation:
The angle with measure 142° forms a straight angle with the third angle in the triangle and are supplementary, thus
third angle = 180° - 142° = 38°
The sum of the 3 angles in the triangle = 180°
w = 180° - (38 + 49)° = 180° - 87° = 93°
Find the values of x and y when the smaller triangle shown here has the given area.
Answers
The values of x and y, when the smaller triangle has an area of 10 cm² are x = 4cm and y = 5cm.
Explanation:In the given triangle, the area can be expressed as [tex]\( \frac{1}{2} \times x \times y \)[/tex], where x and y represent the base and height of the triangle, respectively. Since the area is given as 10 cm², the equation becomes [tex]\( \frac{1}{2} \times x \times y = 10 \)[/tex].
To find x and y, we can rearrange the equation:
[tex]\[ x \times y = \frac{10 \times 2}{1} \][/tex]
[tex]\[ x \times y = 20 \][/tex]
Now, we need to find two numbers whose product is 20. The pair x = 4 and y = 5 satisfies this condition, as 4 × 5 = 20. Therefore, the values of x and y that satisfy the given area are x = 4cm and y = 5cm.
In conclusion, the solution x = 4cm and y = 5cm satisfies the given area condition. This is determined by substituting these values into the area formula, resulting in an area of 10 cm².
A bag contains only 2 green boxes, 2 red boxes, and 3 blue boxes. All of the boxes are the same size and texture. One box is taken from the bag at random and replaced. A second box is taken out at random. What is the probability that the first box os green and the second is blue?
Answers
Probability=number of favorable outcomes/ number of all possible outcomes
P(1st green and 2nd blue) = 2/6 x 3/6 = 1/6
30 POINTS AND BRAINLIEST!PLZ HURRY
Which statement about converting metric units of measurement is true? Use the metric table to help answer the question.
A. To find the number of hectometers in 87 centimeters, move the decimal point 4 units to the left.
B. To find the number of meters in 9,382 centimeters, move the decimal point 2 units to the right.
C. To find the number of kilometers in 6.39 decimeters, move the decimal point 3 units to the left.
D. To find the number of dekameters in 18 kilometers, move the decimal point 3 units to the right.
Answers
Answer:
I believe the answer is B
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
PLEASE HELP ASAP 35 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
Answers
Answer:
The answer is C
Step-by-step explanation:
I just took the exact same test and got a 100% on it, I had previously answered this question when echo2155 rudely claimed that I didn't show any work, most people just answer the question and don't show work because most people just want the answer not the work for it. IF YOU AGREE WITH ME GIVE A THANKS AND 5-STARS, AND COMMENT "BOO echo2155!"
Thank you all who do this!
Which is the graph of the cube root function f(x) = 3√x
Answers
Answer:
3sqr(x) root is 0
Step-by-step explanation: