Fabric is stretched over the wooden frame below What is the total area of the fabric? Round to the nearest square inch

Answers

Answer 1

Answer:

72 in²

Step-by-step explanation:

We obtain the value of EC:

From Pythagoras :

EC = √CD² - DE²

EC = √10² - 6²

EC = √100 - 36

EC = √64

EC = 8

To obtain AE:

AE = √AB² - BE²

AE = √(√52)² - 6²

AE = √52 - 36

AE = √16

AE = 4

Hence, we can obtain the areas of each triangle :

△ABE = △ADE

△BCE = △CDE

AREA OF △ABE = 1/2 * base * height

= 1/2 * 4 * 6 = 12 in²

AREA OF △BCE = 1/2 * base * height

= 1/2 * 6 * 8 = 24 in²

HENCE, total area of fabric :

(2 * 12) + (2 * 24)

24 in² + 48 in²

= 72 in²

Fabric Is Stretched Over The Wooden Frame Below What Is The Total Area Of The Fabric? Round To The Nearest

Related Questions

if you found any words about mathematics, tell me please

Answers

Answer:

geometry

Step-by-step explanation:

left side of paper

For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.

TABLE

x y
-------
2 10
4 24
6 36​

Answers

Answer:

y does not vary directly with x

Step-by-step explanation:

The equation for direct variation is

y = kx ← k is the constant of variation

If k is constant for all ordered pairs in the table then direct variation.

k = [tex]\frac{y}{x}[/tex]

(2, 10 ) → k = [tex]\frac{10}{2}[/tex] = 5

(4, 24 ) → k = [tex]\frac{24}{4}[/tex] = 6

(6, 36 ) → k = [tex]\frac{36}{6}[/tex] = 6

Since k is not constant for all pairs then y does not vary directly with x

The price of an item has been reduced by 70% the original price was $20 what is the price of the item now

Answers

Just find 70 % of $20 and that’s the price.

20 x 0.7 = 14
20 - 14 = 6

The price of the item is $6

Write the inverse function for the function, ƒ(x) =1/2 x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.

ƒ -1(x) =

ƒ -1(4) =

Answers

Answer:

0

Step-by-step explanation:

Given that f(x) = 1/2x + 4

Let y = f(x)

y = 1/2 x + 4

Replace y with x

x = 1/2 y + 4

Make y the subject of the formula

1/2y = x - 4

y = 2(x-4)

If x = 3

y = 2(4-4)

y = 2(0)

y = 0

Hence ƒ -1(4) is 0

Dan spent 0.125 of his money in snacks, 1/4 on travelling and saved the
rest. If he saved $65, how much money did he have at first?​

Answers

Answer:

89.38

Step-by-step explanation:

65 times 0.125 = 8.125

65 times 0.25 = 16.25

16.25 plus 8.125 plus 65 = 89.38 dollars

PLEASE HELP



what's x
cos(x+pi)-sin(x-pi)=0

please show work​

Answers

sin(x+pi)=-sin(x)=sin(-x)=cos(pi/2)

cos (x+pi)=-cos(x)

So according to the question:

cos(pi/2 +x)=cos(x)

Using the solution of cos, obtain:

(pi/2) + x = 2pi +- (x)

case#1: (pi/2) + x = 2pi + (x)

But here, the value of x is canceled, just

case#2: (pi/2) + x = 2pi - (x)

answer------------>>>>>>>>> x=pi-pi/4

The perimeter of the figure below, in inches.

Answers

Answer:

just use a calculator and add all the numbers-

Step-by-step explanation:

add

Can someone help me please?

Answers

the answer is 0.62

62/100 = 0.62

Answer:

0.62

Step-by-step explanation:

the 62 is the number you're mainly working with and the 100 represents the place value! so the 100 means you need to place the top number in the hundredths place (0.62)

Hope this helps! Good luck with your math work!

The expression 4x* represents 144​

Answers

Answer:

x=36

Step-by-step explanation:

because 4x36=144

Answer:

4x = 144

4 • 36 = 144

The answer to the equation is 36


PLS ANSWER RN

What is the area of AJKL?

Answers

Answer:

8.5

Step-by-step explanation:

slope of the line that contains KL

(y2 - y1)/(x2-x1)

(0-1)/(7-3)

m = -1/4

slope of the line that contains JK

(5-1)/(4-3)

m = 4

the linea are perpendicular so triangle is right

area = (leg1 x leg2)/2

KL = [tex]\sqrt{(7-3)^2 + (0-1)^2} = \sqrt{16 + 1} = \sqrt{17}[/tex]

KJ = [tex]\sqrt{(4-3)^2 + (5-1)^2}= \sqrt{1 + 16} = \sqrt{17}[/tex]

area = (√17)^2/2 = 17/2 = 8.5

8.5



….hope this helps!

What is the area of the figure? NO LINKS!!

Answers

Answer:

Area of the figure is 88 square inches

Q.6.
Lisa wanted to paint her ugly brown flower box
red. Using the given dimensions, how many square
inches will she have to paint? (remove the top
base)

Answers

Answer:

10x22x8

Step-by-step explanation:

1760 is the answer

the given tables shows the number of shirts and pants different people own. what number correctly completes the table so that each person has the same ratio of pants to shirts​

Answers

Answer:

He needs 15 shirts

Step-by-step explanation:

We can use a ratio to solve

4 pants             6 pants

--------------- = -------------

10 shirts            x shirts

Using cross products

4x = 10 *6

4x = 60

Divide each side by 4

4x/4 = 60/4

x = 15

He needs 15 shirts

Jake studied
z
hours for a big test. Julie studied half as long.

Write an algebraic expression for long Julie studied.

Answers

Answer:

(1/2)z

Step-by-step explanation:

A survey of 35 people was conducted to compare their self-reported height to their actual height. The difference between reported height and actual height was calculated. You're testing the claim that the mean difference is greater than 0.7. From the sample, the mean difference was 0.95, with a standard deviation of 0.44. Calculate the test statistic, rounded to two decimal places

Answers

Answer:

The test statistic is t = 3.36.

Step-by-step explanation:

You're testing the claim that the mean difference is greater than 0.7.

At the null hypothesis, we test if it is 0.7 or less, that is:

[tex]H_0: \mu \leq 0.7[/tex]

At the alternate hypothesis, we test if it is greater than 0.7, that is:

[tex]H_1: \mu > 0.7[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that [tex]\mu = 0.7[/tex]

Survey of 35 people. From the sample, the mean difference was 0.95, with a standard deviation of 0.44.

This means that [tex]n = 35, X = 0.95, s = 0.44[/tex]

Calculate the test statistic

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{0.95 - 0.7}{\frac{0.44}{\sqrt{35}}}[/tex]

[tex]t = 3.36[/tex]

The test statistic is t = 3.36.

I only need help on number six

Answers

Answer:

288 inches = 8 yards

Step-by-step explanation:

Answer:

[tex]6 . \: 8 \: yards \: = \: 288 \: inches[/tex]

[tex]8. \: 18 \: feets \: = \: 216 \: inches[/tex]

[tex]10. \: \frac{1}{3} \: yards \: = 12 \: inches[/tex]

Step-by-step explanation:

6. 1 yard = 36 inches

8 yards = 36 × 8

= 288

8. 1 feet = 12 inches

18 feets = 12 × 18

= 216 inches

10. 1/3 into decimal = 0.33333333333

1/3 yards = 0.33333333333 × 36

= 12 inches

Hope it is helpful....

PLEASE HELP IM BEING TIMED

Answers

Answer:

1

Step-by-step explanation:

Any number to the 0 power is equal to 1.

Hope that this helps!

Answer:

1 is correct

Any number that is raised to the power of 0 is 1, and any number that’s raised to the power of 1 is itself

△JKL has vertices at J(−2, 4), K(1, 6), and L(4, 4). Determine whether △JKL is a right triangle

Answers

Answer:

Not a right triangle

Obtuse isosceles triangle.

Sides: J = 3.606   K = 6   L = 3.606

Step-by-step explanation:

hope helps you

have a nice day

Find the equation (in terms of x ) of the line through the points (-3,4) and (1,-8)

Answers

Answer:

A(-3,4) B(1,-8)

y-y1/x-x1 =y2-y1/x2-x1

y-4/x--3 = -8-4/1--3

y-4/x+3 = -12/1+3

y-4/x+3 =-12/4

y-4/x+3 = -3

y-4 = -3(x+3)

y-4=-3x-9

y+3x +9-4=

y+3x+5=0

Answer:

y = -3x - 5

Step-by-step explanation:

-3, 4 and 1, -8

1 - -3 = 4

-8 - 4 = -12

[tex]\frac{-12}{4}[/tex] = [tex]\frac{-3}{1}[/tex] = -3

gradient/slope = -3

now substituting in the point -3, 4 to find the y intercept:

4= -3 x -3 + c

4 = 9 + c

-5 = c

y intercept = -5

equation is y = -3x - 5

PLS HELP ASAP!! need the answer

Answers

Answer:

60 degrees

Step-by-step explanation:

67-2x+89/2+7-8x=0
help me please​

Answers

Answer:

x = 11.85

Step-by-step explanation:

[tex]67 - 2x + \frac{89}{2} + 7 -8x = 0\\\\67 + \frac{89}{2}+7 = 8x + 2x\\\\\frac{134 + 89 +14}{2} = 10x\\\\10x = 118.5\\\\x = 11.85[/tex]

Answer:

[tex]x = 11 \frac{17}{20}[/tex] or [tex]\frac{237}{20}[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

What is the range of y= sec-'(x)? PreCal, send help please!!

Answers

Given:

The function is:

[tex]y=\sec^{-1}(x)[/tex]

To find:

The range of the given function.

Solution:

We have,

[tex]y=\sec^{-1}(x)[/tex]

The range of secant inverse function is:

[tex]Range=\{y|0\leq y\leq \pi , y\neq \dfrac{\pi}{2}\}[/tex]

The range of the given function in interval notation is:

[tex]Range=\left[0,\dfrac{\pi}{2}\right)\text{ and }\left( \dfrac{\pi}{2}, \pi\right ][/tex]

Therefore, the correct option is C.

Hi plz help, if you can ill mark you 5 starz! :)

Answers

Answer:

12 kg, 1200 mm, 1200 ml (twice), 12 m, and 120 mm

Answer:

12,000 is 12

120 is 120

1.2 L is 1200

1200 is 120

0.12 is 12

A silo contains 60,000 pounds of grain.

How many tons are in 60,000 pounds?

Answers

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

I took the quiz, I hope this helps!

Indra was is wrapping the blocks below how much wrapping paper does she need

Answers

Answer:

D) 180

Step-by-step explanation:

Formula for Surface area of Rectangular prism is

A = 2(lw+wh+lh)

A = 2(6*8 + 8*3 + 6*3)

A = 2(48 + 24 + 18)

A = 2 * 90

A = 180

Find the volume of the cone. Round your answer to the nearest hundredth.

Answers

Answer:

I believe the answer is 1.36

Omar, Amare, and Jack paid a total of $68.25 for dinner and tickets to a concert. The concert
tickets cost $9.75 each. If the 3 friends split the dinner bill equally, how much did each friend
spend on dinner?

Answers

Answer:

32.5

Step-by-step explanation:

I I divided ot then added it together

Encuentre el volumen de 35 kg de oro

Answers

Speak in English so that I can understand

equations equivalent to x/4+1/3=5/6

Answers

If I rewrite this it would be
3x/12+4/12=10/12
3x=6
So your answer would be
2/4+1/3=5/6
Or
1/2+1/3=5/6
X=2

Kirenna's boss, Tanae, believes that women are not capable of making top-level decisions. Kireena's decisions are often sidelined by those of Tanae. When Kirenna confronts Tanae, he terminates her employment. Which of the following is the most appropriate suit that will help Kirenna?

a. a retaliation lawsuit
b. a forgery lawsuit
c. a reverse discrimination suit
d. a public policy violation lawsuit
e. a civil right infringement lawsuit

Answers

Answer:

e. a civil right infringement lawsuit

Step-by-step explanation:

A civil right infringement lawsuit is a lawsuit filed by an offender whose civil rights have been violated by others. Civil rights are those rights of the citizens that is guaranteed by the Constitution of the United States to its people. They are right to equality, right to freedom, right to employment and all those rights that is included in the Bill of Rights of the US constitution.

So, when Kirenna was terminated by her boss, Tanae on the grounds on the discrimination of gender, Kirenna can file a civil right infringement lawsuit against her boss, Tanae.

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