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Dmitry [639]
1 year ago
9

If a gallon of paint covers 400 square feet, how many gallons are needed to paint a retaining wall that is 269 feet long and 4 f

eet high ? Round the answer up to the nearest whole gallon

Mathematics
1 answer:
Nuetrik [128]1 year ago
5 0

The area of a rectangular shape is given by

A=l\times b

Given:

It is given that a gallon of paint covers 400 square feet, and wall is 269 feet long and 4 feet high .

Now the area of wall will be

A=269\times4

Since,

\begin{gathered} 400\text{ sq f}eet=\text{ 1gallon} \\ 1\text{ sq f}eet=\frac{1}{400}gallon \\ 269\times4\text{ sq f}eet=\frac{1}{400}\times269\times4 \\ =\frac{269}{100} \\ =2.69\text{ gallon} \\ =3\text{ galllon} \end{gathered}

So, the ewall requires approx 3 gallon of paint.

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A 445-foot fence encloses a pasture. What is the length of each side of the pasture?
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Answer:

89*5

Step-by-step explanation:

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3 years ago
A complex number z=a+bi had an absolute value of 3.28. What could the values of a and b be ? A.a=1.5,b=1.7 C.a=1.7,b=2.8
Levart [38]
The given complex number is ⇒ z = a + b i
The absolute value of z = √( a² + b² ) = 3.28
So, we will check which of the options will give 3.28

<span>( A) IF ⇒⇒ a=1.5 and b=1.7
</span>
<span>∴ √( a² + b² ) = √( 1.5² + 1.7²) = √5.14 ≈ 2.27
</span>
===================================

<span>(B) IF ⇒⇒ a=1.5 and b=3.3
</span>
<span>∴ √( a² + b² ) = √(1.5² + 3.3²) = √13.14 ≈ 3.62
</span>
====================================

<span>(C) IF ⇒⇒ a=1.7 and b=2.8
</span>
<span>∴ √( a² + b² ) = √(1.7² + 2.8²) = √10.73 ≈ 3.28
</span>
====================================

<span>(D) IF ⇒⇒ a=2.8 and b=3.3
</span>
∴ √( a² + b² ) = √(2.8² + 3.3²) = √18.73 ≈ 4.33
=====================================
So, the correct answer is option (C) <span>a=1.7,b=2.8</span>
4 0
3 years ago
Solve the following 3/4+2/8
PtichkaEL [24]

Answer:

28

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
An infinite geometric series has a first term ai = 15 and a sum of 45. Explain how you
oee [108]

Answer:

r= \frac{2}{3}

Step-by-step explanation:

The sum to infinity of a geometric series is calculated as

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here a₁ = 15 and S∞ = 45 , then

45 = \frac{15}{1-r} ( multiply both sides by (1 - r ) )

45(1 - r) = 15 ( divide both sides by 45 )

1 - r = \frac{15}{45} = \frac{1}{3} ( subtract 1 from both sides )

- r = \frac{1}{3} - 1 = - \frac{2}{3} ( multiply both sides by - 1 )

r = \frac{2}{3}

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2 years ago
Which THREE reflective symmetries apply to this square so that it carries onto itself?
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We need an image of the square.

Step-by-step explanation:

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