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

A triangle on the coordinate plane has vertices (-8,3), (3,9), and (9,3). What is the area, in square units, of the
triangle?
Please help

Answers

Answer:

51 sq units

Step-by-step explanation:

after plotting the vertices, the height of the triangle is 6 and the base is 17

A = 1/2(6)(17)

A = 51 sq units

please help will give brainliest

Answers

Answer:

B

Step-by-step explanation:

What are the coordinates of the solution of these two linear equations

Answers

Answer:

(-2 -3)

Step-by-step explanation:

_____________________

Which of the following will form the composite function G(F(x)) shown
below?
G(F(x)) = 2(x-6)2 + 5

A. F(x) = x2 + 5 and G(x) = x-6
B. F(x) = 2x + 5 and G(x) = (x-6)2
C. F(x) = x - 6 and G(x) = 2x2 + 5
O D. F(x) = (x - 6)2 and G(x) = 5

Answers

Answer:

[tex]f(x) = 2x + 5[/tex]

[tex]g(x) = (x - 6)^2[/tex]

Step-by-step explanation:

Given

(a) to (d)

Required

Which will give:

[tex]f(g(x)) = 2(x - 6)^2 + 5[/tex]

Equate the expression in bracket to g(x)

[tex]g(x) = (x - 6)^2[/tex]

Replace g(x) with x in: [tex]f(g(x)) = 2(x - 6)^2 + 5[/tex]

[tex]f(x) = 2x + 5[/tex]

pls answer pls pls hurry

Answers

Answer: This can not be answered unless you choose a bigger photo.

Step-by-step explanation:

Sorry

Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. They randomly survey 387 drivers and find that 298 claim to always buckle up. Construct a 84% confidence interval for the population proportion that claim to always buckle up.

Answers

Answer:

The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

They randomly survey 387 drivers and find that 298 claim to always buckle up.

This means that [tex]n = 387, \pi = \frac{298}{387} = 0.77[/tex]

84% confidence level

So [tex]\alpha = 0.16[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.16}{2} = 0.92[/tex], so [tex]Z = 1.405[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.74[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.8[/tex]

The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).

The hypotenuse function is correct, but the main function has a problem. Explain why it may not work, and show a way to fix it. Your fix must be to the main function only; you must not change the hypotenuse function in any way.

Answers

Answer: hello your question is incomplete attached below is the missing codes

Answer : It may not work because; the double pointer P was not allotted a double using a new double ( I.e. Error in the main function ) also the cout statement was not written in the main function

Step-by-step explanation:

It may not work because; the double pointer P was not allotted a double using a new double ( I.e. Error in the main function ) also the cout statement  should be moved to the Main

The correction  is below

{

   double* p = new double;

   hypotenuse(1.5, 2.0, p);

  cout << "The hypotenuse is " << *p << endl;

}

What is the approximate volume of the cylinder use 22/7 for 3.14 round to the nearest whole number

Answers

Answer:

the formula for a cylinder is πr^2•h

Step-by-step explanation:

just plug in the numbers, and you can change π to 3.14 for an approximate answer!

hopefully this helps you!

[tex]\pi {r}^{2} h \\ 22 \div 7 \times {r}^{2} h[/tex]

The ratio of softballs to teams is 26:2. How many softballs would 8 teams have?

Answers

Answer:

104 softballs

Step-by-step explanation:

26 x 4 = 104

Demand per hour for gasoline at a local station is normally distributed with a mean of 1510 gallons and std deviation of 57 gallons. What is the probability that demand for a particular hour is greater than 1600 gallons? Enter your answer as a decimal, rounded to 4 decimal places

Answers

Answer:

0.057168

Step-by-step explanation:

Given :

Mean = 1510

Standard deviation = 57

P(X > 1600)

To obtain the Zscore we use

(x - mean) / σ

P(Z > 1600) = P(Z > (x - mean) / σ)

P(Z > (x - mean) / σ) = P(Z > (1600 - 1510) / 57)

P(Z > 1.579) = 0.057168 (Z probability calculator)

Rewrite the following logarithmic expression as an exponential expression

Answers

Answer:

it should be the same answer....?

Step-by-step explanation:

A cab company charges a flat fee of $4 for a new passenger. it then charges $2.35 per mile until until the destination is reached

1- 4m+ 2.35=total cost
2- 4m-2.35=total cost
3- 2.35-4m= total cost
4- 2.35m+4=total cost

PLEASE I NEED ANSWERS!!

Answers

Answer:

number 2 is your answer for your problem

What is the value of log6 49?

Round your answer to two places.

Answers

Answer: 2.17

Step-by-step explanation: To get the answer you count the first two numbers on the Decimal Form, starting behind the period.

(2.17206626)

Find the missing probability.

Answers

Answer: d

Step-by-step explanation:

Which is an equivalent scale factor of Mr. Barrow's height to the height of the power pole?
A. 162:18
B. 6:54
C. 18:162
D. 54:6

Answers

9514 1404 393

Answer:

  C. 18:162

Step-by-step explanation:

Both B and C are the same scale factor, and both correctly express the ratio of the shorter height to the longer one.

The ratio of choice C is directly obtained from the figure, so is probably the best choice.

Write the number 9.9 x 10-5 in standard form.

Answers

It’s going to be 94 if it works let me know!

i know the answer but i need a thorough explanation on how to do this. pls answer the questions i have for brainliest thank you

Answers

Answer:

i think because it's powered by 4

(27x^3)^4/3 = 27^(4/3) * (x^3)^(4/3) =
(3^3)^(4/3) * (x^3)^(4/3) =
3^(3*4/3) * x^(3*4/3) =
3^4 * x^4 =
81*x^4

Please show steps on how to solve
log7 -2b-9=-6

Answers

Answer: b= - -log10(7)+3/2

Step-by-step explanation: log 10 (7) -2b-9=-6 : b= - -log10(7)+3/2 (Decimal : b = -1.07745...)

so these are the steps how I got it I did log 10 (7)-2b-9=-6 subtract log 10 (7) -9 from both sides log 10 (7)-2b-9-(log10(7)-9)=-6-(log 10 (7) -9)

Simplify -2b= -log10(7)+3

Divide both sides by -2  -2b/2= - log 10(7)/-2+ 3/-2 if you simplify it should give you b= - -log10(7)+3/2 that should be your answer but i'm not sure those I think that's how you do it let me know if you got it right bye!

A gumball machine has various colors of gumballs. There is a 10% chance that the next
gumball from the machine is red and 0.8 chance it is orange.
Is the next gumball more likely to be red or orange? Explain your reasoning.

Answers

Answer:

It is red

Step-by-step explanation:

5(k+2)-3(k+2) combine to make simpiler

Answers

Answer:

2k + 4

Step-by-step explanation:

David,

Start by performing the indicated multiplication:

5(k+2)-3(k+2) becomes 5k + 10 - 3k - 6.

Next, combine like terms:  5k - 3k + 10 - 6 becomes 2k + 4

This 2k + 4 is the desired simpler result.

Tienes $20 para gastar en la tarifa del taxi. El viaje cuesta
$5 más $2.50 por kilómetro.
Escribe una desigualdad para determinar la distancia
en kilómetros, d, que podrías recorrer por $20.
¿Cuál es la distancia máxima, en kilómetros, que
puedes recorrer por $20?
kilómetros.

Answers

Answer:

6 kilometers serian15 mas 5

P(A and B)=P(A)•P(B) is used when two events are used when two events are

Answers

Answer:

Independent.

Step-by-step explanation:

Independent events:

Two events, A and B, are said to be independent if the probability of both happening is the same as the multiplication of the probabilities of each happening, that is:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Thus, P(A and B)=P(A)•P(B) is used when two events are independent.

help me pls i’m stuck

Answers

Answer:

m=1

Step-by-step explanation:

Slope is equal to the change in y over the change in x, or rise over run.

m=change in y / change in x

[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} } \\m=\frac{-3-1}{-3-1}[/tex]

Find the mean of the following data set 5,9,3,12,14,67,22,45,1,12,14

Answers

Answer:

18.5 i believe

Step-by-step explanation:

sorry if im wrong, have a great day!!

which of the is not an example of property tax?


A) Tax paid on the value of a farm a person owns


B) Tax paid on the value of a piece of land a person owns


C) Tax paid on the value of a piece of furniture a person owns


D) Tax paid on the value of a home a person owns

Answers

Answer:

C

Step-by-step explanation:

Furniture is not counted as property that can be taxed.

What are the solutions to the quadratic equation x2-16=0

Answers

Answer:

x = -4, 4

Step-by-step explanation:

Hi there!

[tex]x^2-16=0[/tex]

Rewrite 16:

[tex]x^2-4^2=0[/tex]

The difference of squares rule states that [tex]a^2-b^2=(a+b)(a-b)[/tex]. With this, apply the difference of squares to the equation:

[tex](x+4)(x-4)=0[/tex]

The zero-product property states that if the product of two numbers is 0, then one of the numbers must be equal to zero. Set each term equal to 0 and find the solutions:

[tex]x+4=0\\x=-4[/tex]

[tex]x-4=0\\x=4[/tex]

Therefore, the solutions are -4 and 4.

I hope this helps!

Which fraction is equivalent to 12/27? help

Answers

[tex]\begin{gathered}\dfrac{12}{27}=\dfrac{12:3}{27:3}=\dfrac{4}{9}\\\\\dfrac{12}{27}=\dfrac{12\cdot2}{27\cdot2}=\dfrac{24}{54}\\\\\dfrac{12}{27}=\dfrac{4}{9}=\dfrac{4\cdot2}{9\cdot2}=\dfrac{8}{18}\\\vdots\end{gathered}[/tex]

Hope This Helps You

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Fractions equivalent to [tex] \frac{12}{27} [/tex] are :-

1st Fraction :-

[tex] \frac{12 \div 3}{27 \div 3} \\ = \frac{4}{9} [/tex]

2nd Fraction :-

[tex] \frac{12 \times 2}{27 \times 2} \\ = \frac{24}{54} [/tex]

3rd Fraction :-

[tex] \frac{12 \times 3}{27 \times 3} \\ = \frac{36}{81} [/tex]

3 fractions equivalent to [tex] \frac{12}{27} [/tex] are [tex] \frac{4}{9} , \: \frac{24}{54} , \: \frac{36}{81} [/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

what is the area of

Answers

Answer:

7 * 9 = 63

63 for when both of the triangles are combined, 31.5 for one triangle.

Rectangle = 18 * 22 = 396

396 + 63

459 cm^2

round off to the nearest two decimal places
a) 32,369
b) 99,004​

Answers

Answer:

a = 32,37

b=99

Step-by-step explanation:

a = 32,369

The third decimal place is greater (or equal) than 5, so we need to add one unit to the second place.

= 32,37

b = 99,004

The third decimal place is lesser than 5, so we can simply delete it.

= 99,00

Since only zero in every decimal places are not relevant, we can remove them:

= 99

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

Answers

Answer:

b and 288

Step-by-step explanation:

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