Answers
y = 180 - 54 = 126 degrees
z = 180 - 126 - 19 = 180 - 145 = 35 degrees
Related Questions
If the following fraction is reduced, what will be the exponent on the q? -5p^5q^4/ 8p^2q^2
Answers
I did this question already. The answer is 2
State 7m to 250cm as a ratio in its lowest terms
Answers
To go from meters to centimeters you multiply the number by 100.
7*100=700cm
Now you have 700cm/250cm. This needs simplified
I divided each number by 50 to get 14 and 5
14cm/5cm or 14cm:5cm
Final answer:
To express the ratio of 7 meters to 250 centimeters in its lowest terms, convert both to the same unit and simplify. 7 meters is 700 centimeters, leading to an initial ratio of 700:250, which simplifies to a final ratio of 14:5.
Explanation:
To state 7m to 250cm as a ratio in its lowest terms, we need to convert them to the same unit. One meter is equivalent to 100 centimeters, so 7 meters is the same as 700 centimeters.
Now we can write the ratio as 700 cm : 250 cm, which can be simplified by dividing both terms by 250 cm (the greatest common divisor of both numbers).
The simplified ratio is 700÷ 250 : 250÷ 250, which simplifies to 7 : 2.5. Since we want the ratio in its lowest terms with whole numbers, we can multiply both terms by 2 to eliminate the decimal, resulting in a final ratio of 14 : 5.
The cost to a store for a box of cereal is $2.50. The store is selling the cereal for $3.50. What is the percent of the markup?
Answers
Answer:
40%
Step-by-step explanation:
Farmer jinzhou has 300 feet of fencing to enclose two identical rectangular pens that share a common fence. what are the dimensions of the pens that make their areas as large as possible? if x represents the length of the enclosure, what is the domain in the context of this situation?
Answers
Let the length of one of the three sides of the same length be x, then the length of one of the two sides of the same length is [tex] \frac{1}{2} (300-3x) [/tex].
The entire stucture is a stack of two identical rectangles which is also rectangular in shape.
The area of a rectangle is given by length times width. i.e.
[tex]Area= \frac{1}{2} x(300-3x)=150x- \frac{3}{2} x^2[/tex]
For maximum area, the derivative of the area with respect to x equals zero.
[tex] \frac{d}{dx} (Area)=150-3x=0 \\ \\ \Rightarrow3x=150 \\ \\ \Rightarrow x= \frac{150}{3} =50[/tex]
The length of one of the two sides of equal length is [tex]\frac{1}{2} (300-3(50))=\frac{1}{2}(150)=75[/tex]
Therefore, the dimensions of each pen that will make their areas as large as possible is 50 ft by 37.5 ft
For which value would the graph y= x^4 -25 be below the x axis?
Answers
What is the first term of the geometric sequence presented in the table below?
n 5 7
an 176 704
Hint: an = a1(r)n − 1, where a1 is the first term and r is the common ratio.
Answers
704 = a1 * r^6
dividing:-
r^2 = 706/174 = 4 so r = +/- 2
a1 = 176 / 2^4 = 176/16 = 11
So 11 is the first term
a line segment has endpoints (4,7) and (1,11).what is the length of the segment
Answers
x1 for 4, y1 for 7, x2 for 1, y2 for 11
2. put them together. D= Square root (1-4)^2 + (11-7)^2
3. D= square root (-3)^2 +(4)^2
4. D= Square root 9+16
5. D= square root 25
6. D= -5
What is the value of the expression? (−3)3+6312
Answers
-9+6312
6303
The answer is 6303. Hope this helps!
Please help and show work thank you.
1. How are the angles of an equilateral triangle related?
2. How does the length of the hypotenuse in a right triangle compare to the lengths of the legs?
Answers
All the angles of an equilateral triangle have a measure of 60 degrees.
Using the Pythagorean theorem, the length of the hypotenuse squared is the length of one leg squared plus the length of another leg squared.
Here's the equation for the Pythagorean theorem.
Let c be the length of the hypotenuse.
Let a and b be the length of the two legs.
a^2 + b^2 = c^2
Have an awesome day! :)
A triangle has 3 angles. The sum of the measures of the angles in a triangle is always 180 degrees. An equilateral triangle has three angles with the same measure. Since all angles have the same measure and the sum of their measures equals 180 degrees, each angle measures 180/3 = 60 degrees.
Answer: All angles of an equilateral triangle have the same measure, and the measure is 60 degrees.
2.
The Pythagoras theorem tells us that for every right triangle, if the legs have lengths a and b, and the hypotenuse has measure c, then a^2 + b^2 = c. The square of the length of the hypotenuse equals the sum of the squares of the lengths of the legs.
Question 2(Multiple Choice Worth 15 points) (04.03 LC) Which of the following options results in a graph that shows exponential growth?
f(x) = 0.4(0.2)x
f(x) = 4(0.98)x
f(x) = 0.7(5)x
f(x) = 5(4)−x
Answers
The answer is: [C]: " f(x) = 0.7(5)ˣ " .
_________________________________________________________
Explanation:
_________________________________________________________
From all the answer choices given;
Answer choice: [C]: " f(x) = 0.7 (5)ˣ " ; is the answer choice with a "positive number"; {which is then multiplied by: [ a "positive whole number" or a "positive number greater than "1"; that is raised to a "positive variable"] .
________________________________________________
How I solved this: Further Explanation:
________________________________________________
A positive number multiplied by a {"number less than 1; raised to "x"] would result in increasingly lower values as "x" increases. Same with "raised to "negative x" {refer to "Answer choice [D]" }.
Answer:
The answer is: [C]: f(x) = 0.7(5)ˣ
Step-by-step explanation:
If John has 20 square ft of carpet, that’s enough to carpet a room that’s 6’ by 3’.
Question 2 options:
True
False
Answers
True
6 x 3 = 18 square feet. which is the surface area of the room.
so john will have 2 square feet to spare
A recipe uses 3 cups of water, 2 cups of rice, and 1 cup of black beans. What is the ratio of cups of rice to cups of water?
Answers
Final answer:
The ratio of cups of rice to cups of water in the recipe is 2 to 3, which can also be written as 2/3.
Explanation:
The question asks us to find the ratio of cups of rice to cups of water. The recipe provided uses 2 cups of rice and 3 cups of water. To find this ratio, we simply compare the number of cups of rice to the number of cups of water and write it as a fraction or a division problem.
In this case, the ratio is:
2 cups of rice : 3 cups of water
Which we can also write as 2/3 or say that for every 2 cups of rice, there are 3 cups of water.
a family is canoeing (with the current). Their speed relative to the banks of the river averages 2.75mi/h. During the return trip, they paddle upstream (against the current), averaging 1.5 mi/h relative to the riverbank. Write and solve a system of equations to find the family’s paddling speed in still water.
Answers
Answer:
it's 2.125
Step-by-step explanation:
The required speed of family's paddling speed in still water is 2.125 mi/h.
Given that,
A family is canoeing (with the current). Their speed relative to the banks of the river averages 2.75mi/h. During the return trip, they paddle upstream (against the current), averaging 1.5 mi/h relatives to the riverbank.
Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
Here,
Let the speed of the family on still water be x,
Speed of the current be y
According to the question,
upstream speed,
1.5 = x - y - - - - - (1)
Downstream speed,
2.75 = x + y - - - - - (1)
Solving equations 1 and 2 givens,
2x = 4.25
x = 2.125 mi / h
Thus, the required speed of the family paddling speed in still water is 2.125 mi/h.
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In how many ways can 12 people be divided into three groups of 4 for an
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An equation that contains only the operation of addition is called
Answers
__________________________________________
In this particular arithmetic sequence, a7 = 50 and a15 = 114. What is the value of a21? Hint: an = a1 + d(n − 1), where a1 is the first term and d is the common difference.
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Hope this helped, and if it did I'd appreciate if you marked me as brainliest as I need it to get to a higher rank. If you need any more help, feel free to add me and/or message me :)
Find an equation for this inverse.
f(x) = 5x + 1
Please help! I have a test tomorrow & I have absolutely no idea on his to do this, thanks! :)
Answers
We have the function [tex]f(x)=5x+1[/tex]. Let's call our outputs "y", so we have [tex]y=5x+1[/tex]. To find the inverse, we're going to change the x and the y's position in the equation, so we have [tex]x=5y+1[/tex]. Then all we need to do is solve for y:
[tex]x=5y+1[/tex]
[tex]x-1=5y[/tex]
[tex]\frac{x}{5}-\frac{1}{5}=y[/tex]
[tex]f^{-1}(x)=y=\frac{x}{5}-\frac{1}{5}[/tex]
If so, then you can determine if a function has an inverse by passing the "horizontal line test."
This function does because it has a slope not equal to zero. Inverses of horizontal lines have vertical lines in them, which are not by definition functions.
So now, simply replace "f(x)" with "y", then switch the x and y, and solve for y:
y = 5x + 1
x = 5y + 1
-1 -1
5y = x - 1
÷5 ÷5
y = (x-1)/5
MATH HELP PLEASE!!!!
Answers
1. any number times2 then subtracted by the same number can't = 0 , so it is Null Set
2. 2^2 = 4 +12 = 16, 8*2 = 16, answer is 2
Simplify 5 to the second power
Answers
Plz halp. I just need #20, and please write out the equation so I know how to do it for future problems, thanks!
Answers
Hope this help!
Have a Great day mate !!
What value of k makes the statement true? xky4(2x3 + 7x2y4) = 2x4y4 + 7x3y8 k =
Answers
The answer is "1".
Answer: Answer is 1
Step-by-step explanation:
edge
You board a Ferris wheel at ground level and travel to the very top, when it stops to allow more riders to get on.
How many degrees has the Ferris wheel rotated?
Answers
Answer:
answer is 180 degrees
Step-by-step explanation:
180 degrees has the Ferris wheel rotated
What is rotation?Rotation is the circular movement of an object around an axis of rotation.
Given:
There is ferries wheel when we board on ferris wheel it will be considered as 0 degree.
but when the ferris wheel stop to get more riders on at that time we are vey top.
So, we have covered half of the complete angle i.e., 180 degree
Hence, the ferris wheel cover 180 degrees.
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Find the zeros (roots) of the following equations.
f(x) = 2x5 - 9x4 + 12x3 - 12x2 + 10x - 3 = 0
Answers
f(1)=2-9+12-12+10-3=0 ===>(x-1)*....
f(3)=2*3^5-9*3^4+12*3^3-12*3^2+10*3-3=0 ===> (x-3)*....
f(1/2)=2*(1/2)^5-9*(1/2)^4+12*(1/2)^3-12*(1/2)^2+10*1/2-3=0 ===>(2x-1)*...
f(x)=(x-1)(x-3)*(2x-1)*(x²+1)
In C, x=i ou x=-i
Zeros are 1/2,1,3,i,-i
Answer:
Therefore the roots of equation 1 are 1,3 1/2,-i,+i
Step-by-step explanation:
in this question we have given
[tex]f(x) = 2x^5 - 9x^4 + 12x^3 - 12x^2 + 10x - 3 = 0[/tex].......1
we have to find the roots of this equation
put x=1 in equation 1
[tex]f(1)=2-9+12-12+10-3\\f(1)=0[/tex]
It means x=1 is root of equation 1
now put x=3 in equation 1
[tex]f(3)=2\times3^5-9\times3^4+12\times3^3-12\times3^2+10\times3-3\\f(3)=0[/tex]
therefore,x=3 is root of equation 1
Now put x=[tex]\frac{1}{2}[/tex] in equation 1
[tex]f(\frac{1}{2})=2\times (\frac{1}{2} )^5-9\times(\frac{1}{2})^4+12\times(\frac{1}{2})^3-12*(\frac{1}{2})^2+10\times \frac{1}{2}-3\\f(\frac{1}{2})=0[/tex]
It means x=[tex]\frac{1}{2}[/tex] is also root of equation 1
therefore equation one can be written as
[tex]f(x)=(x-1)(x-3)(2x-1)(x^2+1)[/tex]
therefore remaining 2 roots can be calculated by solving
[tex]x^2+1=0\\x=\sqrt(-1)\\x=i,-i[/tex]
Therefore the roots of equation 1 are 1,3 1/2,-i,+i
Which ordered pair is a solution to this equation?
2x+6y=10
A (12, 2)
B (4, 1)
C (3, 1)
D (2, 1)
Answers
m ∠ A = 100 - x
m ∠ B = 80 + x
m ∠ C = 110 - 3x
m ∠ D = 75 + 2x
Quadrilateral ABCD is a parallelogram if both pairs of opposite angles are equal. Prove that Quadrilateral ABCD is a parallelogram by finding the value of x.
A) x = 5
B) x = 7
C) x = 10
D) x = 15/2
Answers
100 - x = 110 - 3x
100 + 2x = 110
2x = 10
x = 5
m<A = 100 - x = 100 - 5 = 95
m<C = 110 - 3x = 110 - 3 * 5 = 110 - 15 = 95
Opposite angles A and C are congruent.
Now we need to check opposite angles B and D.
m<B = 80 + x = 80 - 5 = 75
m<D = 75 + 2x = 75 + 2 * 5 = 75 + 10 = 85
Opposite angles B and D are also congruent.
Answer: x = 5
Find the volume of the pyramid. Round your answer to the nearest hundredth.
A. 146.61
B. 154.87
C. 164.61
D. 186.61
Answers
True or False:
The domain of the composite function (f◦g)(x) is the same as the domain of g(x).
Answers
The statement is false. The domain of the composite function (f◦g)(x) is not always the same as the domain of g(x). It includes only the values of x for which both g(x) and f(g(x)) are defined.
Explanation:The statement is False. The domain of the composite function (f◦g)(x) is not always the same as the domain of g(x). In a composite function (f◦g)(x), the domain includes only the values of x for which both g(x) and f(g(x)) are defined.
For example, if g(x) = sqrt(x) and f(x) = 1/x, the domain of g(x) would be all real numbers x ≥ 0, but the domain of the composite function (f◦g)(x) = 1/sqrt(x) would be x > 0, because 1/sqrt(x) isn't defined for x = 0.
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Flint purchased a boat for $10,815. He made a down payment of $1,175. He applied for a six-year installment loan with an interest rate of 9.4% in the amount of $9,640. What is the total cost of the boat after six years?
$12,649.68
$13,824.68
$11,831.61
$10,546.16
Answers
The total cost of the boat after six years is $6,616.44.
Explanation:To find the total cost of the boat after six years, we need to calculate the interest paid on the loan over that period of time.
The loan amount is $9,640 with an interest rate of 9.4% per year.
Since the loan is for six years, we multiply the loan amount by the interest rate and the number of years: $9,640 × 0.094 × 6 = $5,441.44.
Adding the down payment of $1,175 to the interest paid on the loan, we get the total cost of the boat after six years: $5,441.44 + $1,175 = $6,616.44.
Gordon recently started jogging. Last week he jogged for 16 minutes. Starting this week, he decided to add 7 minutes to his jog each week. Which of the following equations represents how long his jog will be after x additional weeks
A y = 7x + 23
B y = 7x + 16
C y = 16x + 7
D y = 16x + 23
Answers
The equation y = 7x + 16 represents how long his jog will be after x additional weeks option (B) is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Gordon recently started jogging. Last week he jogged for 16 minutes.
Let x be the number of weeks
and y represents the total number of minutes Gordon walks
From the given data the linear equation can be framed as follows:
y = 7x + 16
Thus, the equation y = 7x + 16 represents how long his jog will be after x additional weeks option (B) is correct.
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Please help with these questions thank you.
Answers
1. 2 and 7 are equal
2. angle 1 = 68 degrees
3. 1st answer