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bixtya [17]
2 years ago
11

A local school needs to paint the floor of its theater room, where the length of the floor, x, is at least 12 feet. The width of

the floor is 4 feet less than the length. It will have a stage and a closet, and the remaining area of the floor will be painted. The dimensions are shown in the diagram:
rectangle with length of x ft and width of x minus 4 ft, right triangle inside labeled stage with height of x minus 4 ft and base of 8 ft, rectangle inside labeled closet with length of 8 ft and width of 4 ft, the rest of the rectangle is labeled floor

Let A represent the painted area, in square feet, of the floor. Choose the correct equation to solve for area (A).

A.)A = x(x − 4) − 0.5(8)(x − 4) − 4(8)
B.)A = x(x − 4) − (8)(x − 4) − 4(8)
C.)A = x(x − 4) + (8)(x − 4) + 4(8)
D.)A = x(x − 4) + 0.5(8)(x − 4) + 4(8)
Mathematics
2 answers:
yuradex [85]2 years ago
8 0

Answer: The correct equation is the option A.)A = x(x − 4) − 0.5(8)(x − 4) − 4(8)

Step-by-step explanation:

To find the painted area of the theater room in square feet, the following steps must be followed:

1. Determine the area of the theater room

Length: x

Width: x-4

A (theater room) = x (x-4)

2. Determine the area of the right triangle

Height: x-4

Base: 8

A (right triangle) = 0.5 (8) (x-4)

3. Determine the area of the rectangle inside labeled closet

Length: 8

Width: 4

A (closet) = 8 (4)

4. The area to be painted will be the substraction between the total area of the theater room, less the area of the right triangle and less the area of the rectangle of the closet like this:

A= A(theater room) - A(right triangle) - A (closet)

A = x (x-4) -0.5 (8) (x - 4) - 4 (8)

Therefore, the correct equation to solve by area is option A

Travka [436]2 years ago
7 0

Answer: A

Step-by-step explanation: I took le test

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The length of a rectangle is 3 inches more than three times the width. the perimeter is 94 inches. find the length and width.
Zina [86]
Let length be (l) and width be (w).

According to the question, l=3w+3......equation1
And perimeter that is 2(l+w) =94........equation2

Solve these two equations, you get your answer.
l=36
w=11
3 0
2 years ago
Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils
LiRa [457]

He had 40 pencils left after he gave away 8, so originally he had 40 + 8 pencils, which is 48.

Now, he bought 4 packages, which had a total of 48 pencils, so divide 48 by 4, which is 12. He had 12 pencils in each package.

To determine the solution arithmetically, first add 8 to 40, then divide 48 by 4.

To determine the solution algebraically, set up and solve the equation 40 = 4x - 8.

Each package contained 12 pencils.

Hope this helps

8 0
2 years ago
1. Walking to improve health. In a study investigating a link between walking and improved health (Social Science & Medicine
lora16 [44]

Answer:

a) We need to conduct a hypothesis in order to check if the true average number of days in the past month that adults walked for the purpose of health or recreation is lower than 5.5 days (a;ternative hypothesis) , the system of hypothesis would be:  

Null hypothesis:\mu \geq 5.5  

Alternative hypothesis:\mu < 5.5  

b) For this case since we want to determine if the true mean is lower than an specified value is a one tailed test

c) For this case the significance level is given \alpha=0.01 and we want to find the critical value, so we need to find a critical value on the normal standard distribution who accumulate 0.01 of the area on the right tail and if we use excel or a table we got:

z_{cric}= -2.326

And the rejection zone would be: (\infty ,-2.326)

And the region is on the figure attached

Step-by-step explanation:

Part a: State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true average number of days in the past month that adults walked for the purpose of health or recreation is lower than 5.5 days (a;ternative hypothesis) , the system of hypothesis would be:  

Null hypothesis:\mu \geq 5.5  

Alternative hypothesis:\mu < 5.5  

Part b

For this case since we want to determine if the true mean is lower than an specified value is a one tailed test

Part c

For this case the significance level is given \alpha=0.01and we want to find the critical value, so we need to find a critical value on the normal standard distribution who accumulate 0.01 of the area on the right tail and if we use excel or a table we got:

z_{cric}= -2.326

And the rejection zone would be: (\infty ,-2.326)

And the region is on the figure attached

3 0
2 years ago
ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°, what is the value of m?
Digiron [165]

Answer:

The correct answer is option B.  17

Step-by-step explanation:

It is given that, ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°

To find the value of m

From the figure we can see that, triangle WYZ is an isosceles  triangle.

ZW = ZY

Then <YXZ = <WXZ = 90°

It is given ∠YXZ  = (6m – 12)°

(6m – 12)° =  90°

6m = 90 + 12  = 102

m = 102/6 = 17

Therefore the value of m = 17

The correct answer is option B.  17

8 0
1 year ago
Read 2 more answers
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k0ka [10]

Answer:

máy ...

xác suất để một máy tính bảng có hệ điều hành B sử dụng ổn định trong 2 năm đầu tiên. Add answer

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