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vivado [14]
3 years ago
7

What is the area of a wall that is 28' wide by 10' high at the sides and has a triangular gable that measures 7' high?

Mathematics
1 answer:
Karolina [17]3 years ago
7 0

Answer:

378 ft²

Step-by-step explanation:

Given:

The Width of the wall = 28'

The Length of the wall = 10'

The Height of the gable = 7'

Now, the width of the gable will be equal to the width of the wall = 28'

therefore,

Area of the wall = Area of the rectangle section of wall + area of the gable

Total area of the wall = ( 28' × 10' ) + ( \frac{1}{2}\times28'\times7')

or

Total area of the wall = 280 + 98 = 378 ft²

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kirill [66]

Answer:

The period, in seconds to two decimal places is, 2.84 sec

Step-by-step explanation:

Using formula:

T = 2 \pi \sqrt{\frac{l}{g}}             ......[1]

where

T represents the Time period in second

l represents the length of the pendulum/

As per the statement:

Use the gravitational constant g = 9.8 m/s^2 , length of the simple pendulum(l) = 2 meters and \pi = 3.14

Substitute the given values we have;

T = 2\cdot 3.14 \cdot \sqrt{\frac{2}{9.8}}

⇒T = 6.28 \cdot \sqrt{\frac{1}{4.9}}=6.28 \cdot \frac{1}{2.21359436212}= \frac{6.28}{2.21359436212} = 2.83701481512

Therefore, the period, in seconds to two decimal places is, 2.84 sec

8 0
3 years ago
What is the 8th term of this geometric sequence. 8, 4, 2, 1, ....
Bond [772]

Answer:

D

Step-by-step explanation:

Each term is half the one before it, so the eighth term is 1/2^7 * 8 or 1/16. So 1/16 can be written as 0.0625 or D.

3 0
3 years ago
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3O POINTS!! AND I WILL MARK THE BRAINLEST ANSWER EVER PLZ HELPP MEEE
AysviL [449]

Answer: Use order of operations (PEMDAS). Answer is 45.72.

Step-by-step explanation:

First, solve inside parenthesis:

(5.25*1 1/5 - 4.5*4/5)

Convert 1 1/5 into decimal. It will be easier. 1 1/5 is the same as 1.2

Do multiplication and division first.

5.25*1.2 = 6.3

Now it looks like: (6.3 - 4.5*4/5)

Convert 4/5 to a decimal: 4/5 = 0.8

(6.3 - 4.5*0.8)

Multiply 4.5*0.8 = 3.7

Subtract (6.3 - 3.7) = 2.6

Now the full equation is: 19.6*2 1/5 + (2.6)

2 1/5 as a decimal: 2.2

Multiply 19.6*2.2 = 43.12

Now the equation is: 43.12 + 2.6

Add 43.12 + 2.6 = 45.72

4 0
3 years ago
If x = (7+4√3), then the value of x^2 + 1/x^2 is​
Blizzard [7]

Answer:

194.

Step-by-step explanation:

x = (7+4√3)

x^2 =  x = (7+4√3)^2

= 49 + 48 + 56√3

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x^2 + 1/x^2 =    97 + 56√3 + 1/(97 + 56√3)

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jeyben [28]

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3 0
3 years ago
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