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2 years ago

You are updating your garage and the only thing left to paint is your garage door. You

Mathematics

1 answer:

Shtirlitz [24]2 years ago

7 0

Answer:

129 square foot

Step-by-step explanation:

Step 1: Convert height of the door to inches

Height of the door = 10 feet 8 inches

1 feet = 12 inches

10 feet = y inches

Cross Multiply

y = 120 inches

Height of door in inches = 120 + 8 =128 inches

Step 2: Find the surface area of one side of the door

Surface area = length x width

length = 128 inches

width = 145 inches

Surface area = 128 x 145

Surface area = 18560 inches

Step 3: Convert surface area from inches to square foot

Surface area = 18560 inches

1 square foot = 144 inches

y = 18560 inches

Cross multiply

144y = 18560

y = 18560/144

y = 128.89 rounded off to 129 square foot.

Therefore, you should report 129 square foot surface area to the hardware store.

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If rectangle A has a length and width that are z times the length and width of rectangle B, which of the following is true?

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The answer is A the perimeter of rectangle A is z times the perimeter of rectangle B

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2 years ago

When Harper commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 24 minutes and a

Korvikt [17]

Answer:

$\mu -2\sigma = 24-2*3= 18$

$\mu -2\sigma = 24+2*3= 30$

So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case

Step-by-step explanation:

For this case we can define the random variable X as the amount of time it takes her to arrive to work and we know that the distribution for X is given by:

$X \sim N(\mu = 24, \sigma =3)$

And we want to use the empirical rule to estimate the middle 95% of her commute times. And the empirical rule states that we have 68% of the values within one deviation from the mean, 95% of the values within two deviations from the mean and 99.7 % of the values within 3 deviations from the mean. And we can find the limits on this way:

$\mu -2\sigma = 24-2*3= 18$

$\mu -2\sigma = 24+2*3= 30$

So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case

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2 years ago

Which of the following are solutions to x-1 = 5x + 2 ? Check all that apply.

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Answer:

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Step-by-step explanation:

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2 years ago

How many times longer is the wavelength of a sound wave with a frequency of 20 waves per second than the wavelength of a sound w

sergejj [24]

The sound wave with a frequency of 20 waves/sec is 800 longer than the wavelength of a sound wave with a frequency of 16,000 waves/sec

<h3>Calculating wavelength </h3>

From the question, we are to determine how many times longer is the first sound wave compared to the second sound water

Using the formula,

v = fλ

∴ λ = v/f

Where v is the velocity

f is the frequency

and λ is the wavelength

For the first wave

f = 20 waves/sec

Then,

λ₁ = v/20

For the second wave

f = 16,000 waves/sec

λ₂ = v/16000

Then,

The factor by which the first sound wave is longer than the second sound wave is

λ₁/ λ₂ = (v/20) ÷( v/16000)

= (v/20) × 16000/v)

= 16000/20

= 800

Hence, the sound wave with a frequency of 20 waves/sec is 800 longer than the wavelength of a sound wave with a frequency of 16,000 waves/sec

Learn more on Calculating wavelength here: brainly.com/question/16396485

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