Answer:
i think its C
Step-by-step explanation:
Final answer:
To solve the triangle with sides a=26, b=29, and angle A=58 degrees, apply the Law of Sines to find another angle, use the sum of angles to find the third angle, and then the Law of Cosines to find the remaining side, ensuring all conditions are satisfied for a valid triangle.
Explanation:
To find all solutions for a triangle given a=26, b=29, and A=58 degrees, we use the Law of Sines, which relates the lengths of sides to the sine of their opposite angles. Since sin A > sin a (opposite side to angle A) would result in no solution and considering the given values, we don't encounter this issue. Instead, we have:
sin B / b = sin A / a
Rearranging for B, we have:
B = sin⁻¹(sin A / a × b)
Plugging in our numbers:
B = sin⁻¹((sin 58°) / 26 × 29)
Once B is calculated, we can find angle C since the interior angles of a triangle sum to 180 degrees. Following that, we can use the Law of Cosines to find the third side, c. The process is:
Calculate B using the Law of Sines.Calculate C by subtracting A and B from 180 degrees.Calculate c using the Law of Cosines: c² = a² + b² - 2ab cos C.After finding all angles and sides, verify the solution by checking if the interior angles sum to 180 degrees and the sides satisfy the Triangle Inequality Theorem.
Find the slope of a line perpendicular to y=3x+7.
Answer:
-1/3
Step-by-step explanation:
Write a complex number that lies above the real axis and to the right of the imaginary axis. Then write a complex number that lies below the real axis and to the left of the imaginary axis.
Answer:
Z = 5 + 3i and Z = -8 - 2i
Step-by-step explanation:
* Lets study the drawing of the complex numbers
- The x-axis is the real axis
- The y-axis is the imaginary axis
* Look to the attached figure
- Any point in the first quadrant is above the real axis and right
to the imaginary axis (Z4)
# Z = x + yi
- Any point in the second quadrant is above the real axis and left
to the imaginary axis (Z2)
# Z = -x + yi
- Any point in the third quadrant is below the real axis and left
to the imaginary axis (Z3)
# Z = -x - yi
- Any point in the fourth quadrant is below the real axis and right
to the imaginary axis (Z1)
# Z = x - yi
* Now lets solve the problem
- The point above the real axis and right to the imaginary axis lies
in the first quadrant
∴ The real part is positive and the imaginary part is positive
∴ Z = 5 + 3i
- The point below the real axis and left to the imaginary axis lies
in the third quadrant
∴ The real part is negative and the imaginary part is negative
∴ Z = -8 - 2i
A complex number that lies above the real axis and to the right of the imaginary axis could be '2 + 3i', while a complex number that lies below the real axis and to the left of the imaginary axis could be '-2 - 3i'. The direction in the coordinate system (upward or rightward is positive, downward or leftward is negative) determines the signs of real and imaginary components.
Explanation:In the complex plane, a complex number is considered to lie above the real axis if its imaginary part is positive, and to the right of the imaginary axis if its real part is positive. Hence, an example of a complex number that lies above the real axis and to the right of the imaginary axis is 2 + 3i, where 2 is the real part and 3i is the imaginary part.
Conversely, a complex number lies below the real axis if its imaginary part is negative, and to the left of the imaginary axis if its real part is negative. So, an example of such a number could be -2 - 3i, where -2 is the real part and -3i is the imaginary part.
Remember, in the coordinate system used to plot complex numbers, motion upward or to the right is usually considered positive, while motion downward or to the left is considered negative.
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two lines are intersecting what is the value of x
Answer:
[tex]x=111[/tex]
Step-by-step explanation:
Since these angles are supplementary, they add up to 180°.
Let's make an equation.
[tex]360=(x+23)+(2x+4) \\ \\ 360=x+23+2x+4 \\ \\ 360=3x+27 \\ \\ 3x=333 \\ \\ x = 111[/tex]
Answer:
[tex]x=51[/tex]
Step-by-step explanation:
We have been given an image of two intersecting lines. We are asked to find the value of x.
We can see that both angles are supplementary, so we can set an equation as:
[tex]x+23+2x+4=180[/tex]
[tex]x+2x+4+23=180[/tex]
[tex]3x+27=180[/tex]
[tex]3x+27-27=180-27[/tex]
[tex]3x=153[/tex]
[tex]\frac{3x}{3}=\frac{153}{3}[/tex]
[tex]x=51[/tex]
Therefore, the value of x is 51.
How many pounds of clay do I need for 12 pounds of clay. You can use the same project more than once.
u need 12 pounds of clay for 12 pounds of clay?
3(x−4)(x+3)−(x−5)^2
SIMPLIFY
Answer:
2x^2+7x-61
Step-by-step explanation:
Joe says that the following statement is true. Do you agree? Explain. 4×3)3+5-10=4×3+5-10
Answer:
The answer is True. Hope this helps. :)
Step-by-step explanation:
( 4 x 3 ) 3 + 5 - 10 = 4 x 3 + 5 - 10
(4x3) = 12 3 + 5 = 8 4 x 3 = 12 3 + 5 = 8This is basically an example of PEMDAS.
Perimeter
Equation
Multiplication
Division
Addition
Subtraction
(Multiplication is ahead of Addition, you multiply first)
Find the mean absolute deviation of the following set of data.
31.8, 22.6, 13.8, 16.4, 28.1
A. 112.7
B. 4.96
C. 5.592
D. 18.78
Answer:
Population size:5
Mean (μ): 22.54
Mean Absolute Deviation (MAD): 5.952
Step-by-step explanation: i hope this helps!!!
plz give 5 star & thanks!
Answer:
5.592
Step-by-step explanation:
trigonometry help?
Answer:
x ≈ 6.7
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{8}[/tex]
Multiply both sides by 8
8 × tan40° = x, hence
x = 6.7 ( to 1 dec. place )
In the triangle ABC , AB=17cm,BC=9cm and angle ACB=90°
Calculate AC
I believe the answer is 14.42
The length of AC is 14.42 in the triangle ΔABC where AB=17cm, BC=9cm and angle ∠ACB=90°. This can be obtained by using Pythagoras' theorem.
What is Pythagoras' theorem?Pythagoras' theorem states that the sum of squares of the legs of a right triangle is equal to the square of the hypotenuse, that is,⇒ a² + b² = c²Calculate the side AC of ΔABC:Given that, AB=17cm, BC=9cm and angle ∠ACB=90°.
By using Pythagoras' theorem,
AB² = AC²+BC²
17² = AC²+9²
AC² = 17²-9² =289-81 = 208
AC = √208 =14.42
⇒AC = 14.42cm
Hence the length of AC is 14.42 in the triangle ΔABC where AB=17cm, BC=9cm and angle ∠ACB=90°.
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Round 6190 to the nearest hundred
Answer:
6200
You're rounding to the nearest hundreds place. so every number behind that needs to be a "0"
Please Help , Is it Abc or D
Answer:
d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given y = 5(x + 1) = 5x + 5 ← in slope- intercept form
with slope m = 5
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{5}[/tex], thus
y = - [tex]\frac{1}{5}[/tex] x + c ← is the partial equation of the perpendicular line
To find c substitute (10, 2) into the partial equation
2 = - 2 + c ⇒ c = - 2 + 2 = 4
y = - [tex]\frac{1}{5}[/tex] x + 4 ← in slope intercept form
Multiply all terms by 5
5y = - x + 20 ( add x to both sides )
x + 5y = 20 ← in standard form → D
Complete the steps to simplify^5√4 x √2 . Rewrite using rational exponents.
The answer is 2^(9/10). I did it assuming with the ^5 you mean the 5th root of 4
ANSWER
[tex] {2}^{ \frac{9}{10} } [/tex]
EXPLANATION
The given expression is
[tex] \sqrt[5]{4} \times \sqrt{2} [/tex]
Recall that:
[tex] \sqrt[n]{ {a}^{m} } = {a}^{ \frac{m}{n} } [/tex]
[tex]\sqrt[5]{ {2}^{2} } \times \sqrt{ {2}^{1} } [/tex]
[tex]\sqrt[5]{ {2}^{2} } \times \sqrt{ {2}^{1} } = {2}^{ \frac{2}{5} } \times {2}^{ \frac{1}{2} } [/tex]
Recall that:
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
We now apply this property of a exponents to obtain:
[tex]\sqrt[5]{ {2}^{2} } \times \sqrt{2} = {2}^{ \frac{2}{5} + \frac{1}{2} } = {2}^{ \frac{9}{10} } [/tex]
There are 323 servings in a 14.5 ounce bottle of salad dressing. How many ounces is in one serving?
———————————————
How do I solve problems like this one?
22.27
You need to divide the amount of servings by the amount of ounces in total
5x < 45
please help
ANSWER
[tex]x \: < \: 9[/tex]
EXPLANATION
The given inequality is
[tex]5x \: < \: 45[/tex]
We divide through by 5 to get:
[tex]x \: < \: \frac{45}{5} [/tex]
This will simplify to
[tex]x \: < \: 9[/tex]
Therefore the solution to the inequality is
[tex]x \: < \: 9[/tex]
x < 9
Start with 5x < 45.
Divide both sides of the inequality by 5 to get x < 45 / 5, or x < 9.
Radius BE is a perpendicular bisector of chord AC. What is the measure of
A. 100°
B. 50°
C. 90°
D. 40°
Answer:
A. 100
Step-by-step explanation:
50 + 50 + 100
Answer:
A. 100°
Step-by-step explanation:
Let's take a look at the image and make some conclusions.
Angle BAE is 40 degrees
All angles at the crossing of BE and AC are right angles (90 degrees) because they are perpendicular lines.
Since BE is a bisector of angle ABC, we know that angles ABD and DBC are equal.
We don't know angle ABD but it's easy to find... since we know 2 angles from triangle ABE, and the sum of the interior triangles is 180. So,
ABD = 180 - 40 - 90 = 50
Since ABD is 50 degrees and represents half of angle ABC... we know that ABC is 100 degrees.
What is the name of a polygon that has four congruent sides and these angle measures 80,100,80,100
Quadrilateral. If you add the angles up on any quadrilateral, it equals 360 (it should always add to 360 for a quadrilateral)
The polygon you're describing is a kite.
To verify this, let's calculate the sum of the interior angles of the polygon:
Sum of interior angles = [tex](n - 2) * 180 degrees[/tex]
For a polygon with 4 sides: [tex](4 - 2) * 180 = 360 degrees[/tex]
Now, let's add up the given angle measures: 80 + 100 + 80 + 100 = 360 degrees
Since the sum of the interior angles matches the calculated sum for a four-sided polygon, and the sides are congruent, the polygon is indeed a kite.
1. Calculate the sum of interior angles: The sum of interior angles of any polygon can be found using the formula (n - 2) * 180 degrees, where 'n' represents the number of sides. For a four-sided polygon, the sum is (4 - 2) * 180 = 360 degrees.
2. Add up the given angle measures: The given angle measures are 80, 100, 80, and 100 degrees. Adding them together gives a total of 360 degrees, which matches the sum calculated for a four-sided polygon.
3. Confirming the polygon type: Since the sum of the interior angles matches the calculated sum for a four-sided polygon, and the sides are congruent (meaning all sides have the same length), the polygon fits the definition of a kite.
Therefore, the polygon with four congruent sides and angle measures of 80, 100, 80, and 100 degrees is indeed a kite.
Complete question:
What is the name of a polygon that has four congruent sides and these angle measures 80,100,80,100
I need to find the scale factor
g(1)=2.7
g(n)=g(n-1)*6.1
find an explicit formula for g(n)
By substitution,
[tex]g(2)=6.1g(1)[/tex]
[tex]g(3)=6.1g(2)=6.1^2g(1)[/tex]
[tex]g(4)=6.1g(3)=6.1^3g(1)[/tex]
and so on, so that
[tex]g(n)=6.1^{n-1}g(1)=2.7\cdot6.1^{n-1}
Answer:
2.7(6.1)^(n-1)
Step-by-step explanation:
[(6.1)^(n-1)]*g(1)
=[(6.1)^(n-1)]*2.7
=2.7*(6.1)^(n-1)
what decimal is equivalent to 13/11
Answer:
1.1818...
Step-by-step explanation:
Divide 13 by 11
13 ÷ 11 = 1.1818...
Answer: 1.1818...
The decimal 1.182 is equivalent to 13/11.
How to convert a fraction to a decimal?A fraction can be converted to a decimal by dividing the numerator by the denominator.
We can convert the given fraction into decimal form as shown below:The fraction is given as 13/11.
The numerator is 13 and the denominator is 11.
We are asked to find the decimal form of the given fraction.
This can be done by simplifying the fraction and dividing the numerator by the denominator.
This can be done as shown below:
The fraction = 13/11
= 1.1818
≈ 1.182
The decimal form of the fraction is found. The decimal form of the fraction is 1.182.
Therefore, we have found that the decimal 1.182 is equivalent to 13/11.
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please help
-) A garden's length is 6m greater than its width.
The area of the garden is 720 m²
What is the length of the garden?
Answer:
Length of garden will be 30 metres.
Step-by-step explanation:
Let the Width of garden be x metres.
then,
Length of garden will be (x+6) metres.
Area = Length × Breadth
720 = x X (c+6)
720 = x²+6x
0 = x²+6x-720
As we can see above equation is a quadratic equation in the form of ax²+bx+C.
so,
[tex] = \frac{ - b ± \sqrt{{b}^{2} - 4ac} }{2a} \\ = \frac{ - 6 ± \sqrt{{6}^{2} - 4 \times 1 \times - 720} }{2} \\ = \frac{ - 6 ± \sqrt{36 + 2880} }{2} \\ = \frac{ - 6 ± \sqrt{2916} }{2} \\ = \frac{ - 6 ± 54}{2}\\= \frac{-6+54}{2} ... \frac{ - 6 - 54}{2} \\ = \frac{48}{2} ... \frac{ - 60}{2} \\ = 24... - 30[/tex]
One of the Roots of the Quadratic equation is 24 and other is -30.
And as we know width of any garden cannot be negative so the width of garden will be 24 metres.
As we got the width,
adding 6 to it will give us the Length,
So,
24 metres + 6 = 30 metres.
Length of the garden is 30 metres.
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Evaluate the function f(x)=3x-2 When X equals -1
-9
-5
1
5
the answer is negative 5
It’s negative 5, because you have to substitute the x in 3x for negative one, so the equation looks like f(x)= 3(-1) - 2. Then, you solve
Read the sentence. Run from your house to the train station because the train will arrive any minute. Which best identifies the adverb clause? A. Run from your house to the train station. B. the train will arrive. C. because the train will arrive any minute. D. from your house to the train station.
The answer is C. because the train will arrive any minute. This is because an adverb clause is a clause that functions as an adverb, and it modifies or describes a verb, adverb or adjective.
Which polynomial is equal to (x + 1)(2x + 1)
Answer:
2x^2+3x+1
Step-by-step explanation:
FOIL
Answer:
2x^2+3x+1, I believe.
Step-by-step explanation:
Multipy 'em
A: A circle has a circumference of 45 cm. What is the BEST estimate of the circle’s diameter?
Answer:
14
Step-by-step explanation:
d=c/pi
45/pi=14
Answer:
14
Step-by-step explanation:
c = pi d
45 = 22/7 d
45 * 7/22 = d
2* 7 = d (approx.)
d = 14 approxiamtely
So the closest estimate dor d is 14
Hope it helps and if it does please mark me brainliest
someone help plzz
5 3/16 x 300 =
Answer:
1556.25
Step-by-step explanation:
5 3/16.25×300=1556.25
The function h is defined by h(x)=(20x−k)÷x+50, where k is a constant. Find k, if the value of ℎ at x=20 is equal to 65.
ANYONE WHO GETS THIS RIGHT GETS 50 POINTSSSSS!!!!!!!!!!!!!!!! i mean it OH AND BRAINLIEST
Answer:
The value of k is [tex]K=100[/tex]
Step-by-step explanation:
we know that
[tex]h(x)=\frac{20x-k}{x}+50[/tex]
we have
[tex]x=20\\ h(20)=65[/tex]
substitute in the function and solve for k
[tex]65=\frac{20(20)-k}{20}+50[/tex]
[tex]65-50=\frac{400-k}{20}[/tex]
[tex]15=\frac{400-k}{20}[/tex]
[tex]15*20=400-k[/tex]
[tex]300=400-k[/tex]
[tex]k=400-300=100[/tex]
Answer:
K=100
Step-by-step explanation:
can someone help me please
Answer: is A
Step-by-step explanation:
Answer: 5 Times
Step-by-step explanation: P(roll 4) = 1/6
---
Expected # of 4 in 30 rolls = (1/6)*30 = 5
20 points.
Please answer and explain if possible.
Multiply.
-2y^2 * xy^4
When the bases are the same, you can combine the exponents.
x³ [x is where the base is]
For example:
x³ · y² = x³y² You can't simplify this anymore because they have different bases/variables
[when you multiply a variable with an exponent by a variable with an exponent, you add the exponents together] so:
x² · x³ = [tex]x^{2+3}=x^5[/tex]
[when you multiply a variable with an exponent by an exponent, you multiply the exponents together] so:
(x³)²=[tex]x^{3*2}=x^6[/tex]
[tex]-2y^2*xy^4=-2x(y^{2+4})=-2xy^6[/tex]
Answer:
[tex]\large\boxed{-2xy^6}[/tex]
Step-by-step explanation:
[tex]-2y^2\cdot xy^4=(-2)(x)(y^2y^4)\\\\\text{use}\ a^na^m=a^{n+m}\\\\=-2xy^{2+4}=-2xy^6[/tex]
Solve -5 w = -80 for w .
Answer:
I think the answer is w = 16
Step-by-step explanation:
start by dividing -5 from both sides.
-5w=-80
/
-5
w=-16
Anne bought 3 hats for $19.50. which equation could be used to find the cost of each equation?
Answer:
19.50 divided by 3
Step-by-step explanation:
Answer:
3h = 19.50
Step-by-step explanation:
First lets define the price of each hat as the variable h.
Next we know that there are 3 hats so we can write that variable as 3h
We also know that the cost of all 3 hats was $19.50. This means that we can set each side of this equation equal to each other.
This gives us the equation 3h = 19.50
If you were to solve for h, you would get
[tex]h = \frac{19.50}{3}[/tex]
Which would simplify to
h = 6.50
This means that each hat costs $6.50