A window in Michael's room is the shape of a trapezoid. The bases are 30 inches and 40 inches. The height of the window is 24 inches. Find the area of the window.

Answers

Answer 1

Answer:

The area of the window is of 840 square inches.

Step-by-step explanation:

To find the area of an trapezoid, we need to add the sum of the bases, multiply by the height, and then divide by 2.

Matematically:

[tex]A = \frac{(b_{1} + b_{2})*h}{2}[/tex]

In which [tex]b_{1}[/tex] and [tex]b_{2}[/tex] are the bases and h is the height.

In this question:

[tex]b_{1} = 30, b_{2} = 40, h = 24[/tex]

All the measures in inches, so the area is in square inches.

[tex]A = \frac{(30 + 40)*24}{2} = 840[/tex]

The area of the window is of 840 square inches.


Related Questions

Please help will mark brainliest!!!
How would you describe the graph of the function at interval 3? Select all that apply.
image below

Answers

Answer:

B and E

Step-by-step explanation:

In the graph, the altitude represents Y axis while time represents the X axis. we can see that at interval 1 the function is dramatically decreasing. At Interval 2 the function is constant. At interval 3 the function is increasing but I can't say definitively if the slope is positive or negative. Hope this helped!

Mrs. Juarez graded ten English papers and recorded the scores. 92, 95, 100, 62, 88, 90, 100, 96, 89, 98 Which statements are true? Check all that apply.

Answers

Answer:

A, B, E  

explanation:                                                                                                                                            

Answer:

A: The range of scores is 38.

B: Without the outlier, the range of scores would be 12.

C: The outlier impacts the range more than it impacts the interquartile range.

D: The interquartile range is 9.

F: Without the outlier, the interquartile range would be 9.5.

Step-by-step explanation:

edg2020

The legs of a right triangle are 4 units and 7 units. What is the length of the hypotenuse?

Answers

Answer:

8.06/65

Step-by-step explanation:

4^2+7^2=8.06^2

16+49=65

Answer:

square root of 65

Step-by-step explanation:

4^2 + 7^2 = x^2

16+ 49= x^2

x^2 = 65

x= sqrt 65

what is the 15th n term of the sequence 22 18 14 10 6

Answers

Answer:

-34

Step-by-step explanation:

All you have to do is subtract by 4 until you count to 15 which then leads you to the number -34

Imani sells shirts packed in boxes that are each 15in. x 10in. x 2in. Imani stacked 3 boxes and wrapped them with one piece of paper. How much paper did she use, not including overlap?

Answers

Answer:

She used 600 square inches of paper.

Step-by-step explanation:

Since the box are 15 in x 10 in x 2 in and are stacked on top of each other, they form a bigger rectangular prism with 15 in x 10 in x 6 in. In order to calculate how much paper she used, we need to calculate the surface area of this prism, this is done by using the following formulla:

surface area = 2*width*length + 2*width*height + 2*length*height

surface area = 2*15*10 + 2*15*6 + 2*10*6 = 300 + 180 + 120

surface area = 600 in².

She used 600 square inches of paper.

A triangle has a base length of (2x - 4) units and a height of (x + 5) units. Write and solve a quadratic equation to determine what value of x gives the triangle an area of 44 square units

Answers

Answer:

x = -9

x = 6 BUT IT DOES NOT WORK WHEN YOU PLUG IT BACK IN

Step-by-step explanation:

Triangle area = 1/2 bh

The area is given (44)

base = 2x-4

height = x+5

44 = 1/2 (2x-4) (x+5)

Distribute

44 = 1/2 (2x^2 + 10x - 4x - 20)

44 = 1/2 (2x^2 + 6x - 20)

Take out a 2

44 = 2 * 1/2 (x^2 + 3x - 10)

44 = x^2 + 3x - 10

Subtract 44

0 = x^2 + 3x - 54

Factor the way you like and you should get

(x + 9) (x - 6)

x = -9

x = 6

If you plug them in only the -9 works.

44 = 1/2 (-22) (-4)

Answer:

x=6

Step-by-step explanation:

[tex]\frac{1}{2} (2x-4)(x+5)=44\\(x-2)(x+5)=44[/tex]

[tex]x^{2} -2x+5x-10=44\\x^{2} +3x-54=0[/tex]

[tex]x^{2} +9x-6x-54=0\\x(x+9)-6(x+9)=0\\(x+9)(x-6)=0\\x=-9(rejected),6[/tex]

side is 2×6-4=8 units

height=x+5=6+5=11 units

x=-9 is  rejected because it gives negative side and negative height.

find out three rational numbers lying between 2/3 and 3/4

PLEASE HELP...... I NEED TO SUBMIT IT NOW......

Answers

Answer:

33/48, 34/48, 35/48

Step-by-step explanation:

2/3 is equal to 32/48 and 3/4 is equal to 36/48. The fractions in between them are all rational numbers. Hope this helped <3

2/3 = 2000/3000
3/4 = 2250/3000

Here are 248 rational numbers between them:
2001/3000
2002/3000
2003/3000
2004/3000
2005/3000
2006/3000
2007/3000
2008/3000
2009/3000
2010/3000
2011/3000
2012/3000
2013/3000
2014/3000
2015/3000
2016/3000
2017/3000
2018/3000
2019/3000
2020/3000
2021/3000
2022/3000
2023/3000
2024/3000
2025/3000
2026/3000
2027/3000
2028/3000
2029/3000
2030/3000
2031/3000
2032/3000
2033/3000
2034/3000
2035/3000
2036/3000
2037/3000
2038/3000
2039/3000
2040/3000
2041/3000
2042/3000
2043/3000
2044/3000
2045/3000
2046/3000
2047/3000
2048/3000
2049/3000
2050/3000
2051/3000
2052/3000
2053/3000
2054/3000
2055/3000
2056/3000
2057/3000
2058/3000
2059/3000
2060/3000
2061/3000
2062/3000
2063/3000
2064/3000
2065/3000
2066/3000
2067/3000
2068/3000
2069/3000
2070/3000
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2072/3000
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2074/3000
2075/3000
2076/3000
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2099/3000
2100/3000
2101/3000
2102/3000
2103/3000
2104/3000
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2106/3000
2107/3000
2108/3000
2109/3000
2110/3000
2111/3000
2112/3000
2113/3000
2114/3000
2115/3000
2116/3000
2117/3000
2118/3000
2119/3000
2120/3000
2121/3000
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2161/3000
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2164/3000
2165/3000
2166/3000
2167/3000
2168/3000
2169/3000
2170/3000
2171/3000
2172/3000
2173/3000
2174/3000
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2178/3000
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2201/3000
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2206/3000
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2208/3000
2209/3000
2210/3000
2211/3000
2212/3000
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2215/3000
2216/3000
2217/3000
2218/3000
2219/3000
2220/3000
2221/3000
2222/3000
2223/3000
2224/3000
2225/3000
2226/3000
2227/3000
2228/3000
2229/3000
2230/3000
2231/3000
2232/3000
2233/3000
2234/3000
2235/3000
2236/3000
2237/3000
2238/3000
2239/3000
2240/3000
2241/3000
2242/3000
2243/3000
2244/3000
2245/3000
2246/3000
2247/3000
2248/3000
2249/3000

A package of books weighs 72 ounces. What is the weight of the package in pounds?

Answers

Answer: 4.5 pounds

Explanation: To convert 72 ounces into pounds, we use the conversion factor for ounces and pounds which is 16 ounces = 1 pound.

Next, notice that we're going from a smaller unit, ounces, to a larger unit, pounds and when we go from a smaller unit to a larger unit, we divide. So here, we divide 72 by the conversion factor, 16, to get 4.5.

So 72 ounces equals 4.5 pounds.

A cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is 7pi/12. The graph of the function does not show a phase shift. What is the equation of the cosine function described?

Fill in the blanks using values from this list: -20, -11, -9, -2, 2, 9, 11, 20, 7pi/12,12pi/7,7/24,24/7

f(x)=___cos(_____x)______

Answers

We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is [tex]\frac{7\pi}{12}[/tex]. The graph of the function does not show a phase shift. We are asked to write the equation of our function.

We know that general form a cosine function is [tex]y=A\cos(b(x-c))-d[/tex], where,

A = Amplitude,

[tex]\frac{2\pi}{b}[/tex] = Period,

c = Horizontal shift,

d = Vertical shift.    

The equation of parent cosine function is [tex]y=\cos(x)[/tex]. Since function is reflected about x-axis, so our function will be [tex]y=-\cos(x)[/tex].

Let us find the value of b.

[tex]\frac{2\pi}{b}=\frac{7\pi}{12}[/tex]

[tex]7\pi\cdot b=24\pi[/tex]

[tex]\frac{7\pi\cdot b}{7\pi}=\frac{24\pi}{7\pi}[/tex]

[tex]b=\frac{24}{7}[/tex]

Upon substituting our given values in general cosine function, we will get:

[tex]f(x)=-11\cos(\frac{24}{7}x)-9[/tex]

Therefore, our required function would be [tex]f(x)=-11\cos(\frac{24}{7}x)-9[/tex].

Lucas built a composite solid by joining 12 identical blocks, with dimensions 4 inches by 5 inches by 7 inches, into three
ows of four as shown.
7 in.
5 in
4 in
What is the total surface area of the composite solid?
O 521 square inches
1,042 square inches
1,072 square inches
O 1.992 square inches

Answers

Answer:

1042 square inches is the total surface area of composite solid.

Step-by-step explanation:

It is clear from the image that the resulting composite solid is a cuboid.

whose sides are as follows:

Across the length there are 3 blocks along the side of 7 inches each.

Length = [tex]7 \times 3 = 21\ inch[/tex]

Width = 5 inch

Across the height there are 4 blocks along the side of 4 inches each.

Height = [tex]4 \times 4 = 16\ inch[/tex]

We know that total surface area of a cuboid is as follows:

[tex]\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)[/tex]

[tex]\Rightarrow 2 (21 \times 5 + 16 \times 21 + 16 \times 5 )\\\Rightarrow 2 (105 + 336+80)\\\Rightarrow 2 \times 521\\\Rightarrow 1024[/tex]

Hence, total surface area = 1024 square inches

Answer:The answer is (B.1,042)

Step-by-step explanation: i got it right

WILL MARK THE BRAINLIEST!!!! What is a function?

Answers

Answer:

In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.

Step-by-step explanation:

Easy 6th grade question please mark Brainliest and give extra points

Question The The point (0,1)
(
0
,
1
)
is reflected over the x- axis. What are the coordinates of the resulting point?


Answers

Answer:

it would be the same since its ON the x-axis ( the point does not change)

Step-by-step explanation:

Screen Shot 2020-05-18 at 9.51.50 AM
Screen Shot 2020-05-18 at 9.57.43 AM

Answers

Answer:

there is nothing there

Step-by-step explanation:

literally

Answe    

Step-by-step explanation:

The point-slope form of a line that has a slope of
and passes through the point (3, 0) is shown.
y -0 =3(2-3)
What is the equation in slope-intercept form?
A. y=1/4x-3
B. y=1/4x3/4
C. y=3/4x-1/4
D. y=1/4x-1/12​

Answers

I guess the answer is (A)
I hope help

Pls help with 9 and Tysm

Answers

Answer:

the last one

Step-by-step explanation:

a number used to multiply a variable

s= ut + 1/2 at x2
u=10
a=-2
t=1/2
work out the value of s

Answers

Answer:

s = 4 3/4.

Step-by-step explanation:

The formula is s = ut + 1/2 at^2

so s =  10^1/2 + 1/2 * -2 * (1/2)^2

s = 5 - 1/4

= 4  3/4.


How many fourths are in 2 1/2?

Answers

Answer:

There are 10 fourths.

Step-by-step explanation:

There are four 1/4ths in 1. So 2.5 x 4 = 10.

Answer:

2 1/2 is the same as 5/2 which is the same as 10/4, so 10 is the answer :)

Step-by step solution

3. This table shows a linear relationship between the amount of water in a tank and
time.
time (minutes) water (gallons)
0 T| 30 G
5 T| 20 G
10T| 10 G
Which of these statements is true?
OD
A.The water in the tank is increasing at a rate of 2 gallons per minute.

B.The water in the tank is increasing at a rate of 10 gallons per minute.

C.The water in the tank is decreasing at a rate of 2 gallons per minute.

D.The water in the tank is decreasing at a rate of 10 gallons per minute.
OL

Answers

Answer:

c because 10gallons per min is to much

Step-by-step explanation:

The water in the tank is decreasing at a rate of 2 gallons per minute. Therefore, option C is the correct answer.

What is the equation of a line?

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

The given table shows a linear relationship between the amount of water in a tank and time.

From the table we have (0, 30), (5, 20) and (10, 10).

Now, slope m=(20-30)/(5-0)

m= -2

Substitute (x, y)=(0, 30) and m=-2 in y=mx+c, we get

30=-10(0)+c

c=30

Now equation is y=-2x+30

Here, the water in the tank is decreasing at a rate of 2 gallons per minute.

Therefore, option C is the correct answer.

To learn more about the equation of a line visit:

https://brainly.com/question/2564656.

#SPJ2

Is it possible to triangulate a quadrilateral and get more or fewer than two triangles? Determine whether this investigation verifies that the sum of the interior angles of a quadrilateral is always 360°.

Answers

Answer:

No.

Step-by-step explanation:

It’s not possible. No matter what type of quadrilateral it is, there will only be two triangles formed, verifying that the sum of the interior angles of a quadrilateral is always 360°.

It’s not possible to triangulate a quadrilateral and get more or fewer than two triangles. It is verifies that the sum of the interior angles of a quadrilateral is always 360°.

What is a quadrilateral?

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

It’s not possible to triangulate a quadrilateral and get more or fewer than two triangles. No matter what type of quadrilateral it is, there will only be two triangles formed.

We know that The sum of internal angle of a quadrilateral is 360°.

The sum of angle in a triangle is 180°. By Adding the two triangle angle together, we will get the sum as 360°.

The Sum of the interior angle of a polygon = 180(n-2) .

It is verifies that the sum of the interior angles of a quadrilateral is always 360°.

Learn more about quadrilateral;

https://brainly.com/question/2477872

#SPJ2

the radius of a circle with a circumstance of 28 pie into units

Answers

Answer:

The radius is 14

Step-by-step explanation:

The circumference of the circle is 28 pi

C = 2* pi *r  where r is the radius

28 pi = 2 pi *r

Divide each side by 2 pi

28 pi/2pi = 2 pi *r/2pi

14 = r

HELPP MEE FASTT I HAVE LESS THAN 10 MIN

Farrah borrowed $155 from her brother. She has already paid back $15. She plans to pay back $35 each month until the debt is paid off.

Which describes the number of months it will take to pay off the debt? Select three options.
x + 15 + 35 = 155
35 x + 15 = 155
35 x = 155 minus 15
It will take 8 months to pay off the debt.
It will take 4 months to pay off the debt.

Answers

Answer:

35x + 15 = 155

35x = 155 minus 15

it will take 4 months to pay off the debt.

Hope this helps. Mark brainliest please!

Answer:

35x + 15 = 155

35x = 155 - 15

It will take 4 months to pay off debt

Step-by-step explanation:

Its mental so idk but trust me <3

(100 POINTS):( You will be reported if you provide an inapplicable answer)
use this function to answer the questions
f(x) = 2x^2 − 5x + 3

-Find The X intercepts of the graph
-Is the Vertex Going To Be Minimum Or Maximum? (I may be able to figure this one out)
-What is The Coordinates Of The Vertex?
-What Would You Do To Graph f(x)?

Please Explain because I want to understand it! mainly just need help with the first and then I may be able to take it from there.

Answers

Answer:

x-intercept(s):

(1,0),(3/2,0)

y-intercept(s): (0,3)

Use the formula

x=−b/2a to find the maximum and minimum.

Ans;(5/4,−1/8)

Coordinates Of The Vertex

(5/4,−1/8)

Zero (roots)

x=1,3/2

Step-by-step explanation:

Help with this question please!!

Answers

Answer:

Width = 160

Length = 110

Step-by-step explanation:

Perimeter is the sum of all the sides

They tell you that the length is 50 m shorter than the width

so L = W - 50

W = W

540 = W + W + W-50 + W-50

540 = 2W + 2(W-50)

540 = 2W + 2W - 100

540 = 4W - 100

640 = 4W

W = 160

L = 160 - 50

L = 110

Answer:

Length: 110 m

Width: 160 m

Step-by-step explanation:

The formula for perimeter of a rectangle is P = 2L + 2W.

We can write the length in terms of width if width is w:

Length: w - 50

Width: w

Plug the values into the formula.

540 = 2(w - 50) + 2w

540 = 2w - 100 + 2w

540 = 4w - 100

640 = 4w

w = 160

find length by subtracting 50 from the width

160-50=110

Therefore, the length is 110 and the width is 160.

Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! Show your work!

Answers

Answer: Increased A.

Step-by-step explanation:

Solve the following
a) 2(x+3)= x-4
b) 4(5x-2)= 2(9x+3)

Answers

Answer: A: x=-10 B: x=7 hope this helps!

h(x) = 4x - 3
Given ƒ(x) and h(x), ƒ(x) has the greater value when x = 2.

a. true
b. false

Answers

The statement is true

select the correct answer you're getting two side lengths of 10 cm and 8 centimeters the angle between the sides measure 40° how many triangles can you construct using his measurements? WILL GIVE BRAINLIEST PLZ HELP ​

Answers

Answer:

Step-by-step explanation:

16 triangles

16 triangles Hope this helps

consider the graph of the function y=1/4x2-3x-40. what are the roots of the function?

Answers

Answer: the roots are x = 20 and x = -8

Step-by-step explanation:

We have the function

y = (1/4)x^2 - 3x - 40

We want to find the roots, that are the points in where y(x) = 0

For a quadratic equation of the form:

y = a*x^2 + bx + c the roots are:

[tex]x = \frac{-b +-\sqrt{b^2 -4*a*c} }{2*a}[/tex]

in this case we have:

[tex]x = \frac{3 +-\sqrt{3^2 +4*(1/4)*40} }{2*(1/4)}= \frac{3 +-7}{(1/2)}[/tex]

So the two roots are:

x = 2*(3 + 7) = 20

x = 2*(3 - 7) = -8



y=2x+3
y=−3x+3
​ find slope and y-intercept

Answers

Answer:

y = 2x + 3  → Gradient / slope = 2 → Y - intercept = 3

y = -3x + 3 → Gradient / slope = -3 → Y - intercept = 3

Step-by-step explanation:

y = mx + c

This is the standard way an equation of a line is written. The 'm' of the line is the slope/gradient and the 'c' is the y - intercept. You can find the x-intercept by making y = 0. When the questions asks you to find the gradient you should never put 'x' after it only the number so

y = 2x + 3

Gradient / slope = 2

Y - intercept = 3

y = -3x + 3

Gradient / slope = -3

Y - intercept = 3

The ratio of cars to trucks passing the intersection of Reyes Adobe and TO Blvd is 7:2. If 108 vehicles pass this intersection, how many are cars?

Answers

Answer:

84 cars

Step-by-step explanation:

the the ratio is 7 to 2. There were 108 vehicles. 108/ 9=12

12 x 7= 84.... or at least that's how I think of it.

Other Questions
Which function has the same range as f(x)=-2x-3+8? 5. The air bombing of Iraqi targets was called Operation Desert Sabre.TrueOFalse 20 points!!! PLEASE ANSWERASAP Even though the United States encouraged _____________, for Cuba, Puerto Rico and the Philippines they found themselves in a colonial role. a. democratic rule c. despotic rule b. autocratic rule d. plutocratic rule When an atom in a reactant loses electrons, what happens to its oxidation number?A. Its oxidation number decreasesB. Its oxidation number doubles.C.Its oxidation number increases.D.Its oxidation number increases by one.E. Its oxidation number stays the same. When a ball is tossed upward, along the way A. the amount of kinetic energy and the amount of potential energy change B. all of its energy is lost to friction with the air, and both kinetic and potential energy are zero at the highest point of travel. C. its potential energy decreases and reaches zero at the highest point of travel D. its total energy increases and is at a maximum at the highest point of travel What was the percentage decrease in the number of accidents between 1950 and 1976? Fine the slope of a line parallel to y=-2/5x+4/55/22/5-5/2-2/5 Which nutrient serves as a major source of energy? Helppppppppppppppppppppppp Consider the cartesian equation of a circle, y=-2+- sqrt 36-(x-1)^2 , verses the parametric equations of the same circle: x=1+6 cos t y=-2+6sin t Write the following trigonometric ratio using an acute angle: tan 162 degrees Can someone help me please is this correct? What type of phase change occurs when water vapor in the atmosphere changes to liquid water in clouds? Evaluati urmatoarele expresii5+2*(x+4)/3, unde x are valoare 187/ 2*2+4*(5+7*3)>182 In a recent survey, 30 students reported whether they liked their potatoes Mashed, French-fried, or Twice-baked. 15 liked them mashed, 20 liked French fries, and 9 liked twice baked potatoes. Additionally, 12 students liked both mashed and fried potatoes, 5 liked French fries and twice baked potatoes, 6 liked mashed and baked, and 3 liked all three styles. How many students hate potatoes? (4 points) What is the value of the expression below ? 2[32-(4-1)] There is a 3 in between the ) 3 ] but it looks like square / cubes something Cesar and Jocelyn are planning their trips to three countries next year. There are 7 countries they would like to visit. One trip will be one week long, another two days, and the other two weeks. Many of the early viking raids were directed against? When a current flows through a light bulb, it emits 30 J light energy in 2 seconds, What is the power of the bulb? What is the vertex of f(x)=x+8-3