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3 years ago

A rectangular dog cage has a length of 4 1/2 feet and a width of 3 3/7 feet. What is the area of the cage?

Mathematics

1 answer:

liberstina [14]3 years ago

3 0

Step-by-step explanation:

Area of rectangle =height×base

4 1/2×3 3/7=9/2×24/7=216/14=15 6/14=15 3/7

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Which is closest to the value of w in the triangle below?

mr Goodwill [35]

Answer: B. 2.5 in

Step-by-step explanation:

From the given right angle triangle,

the hypotenuse of the right angle triangle is the unknown side.

With m∠32 as the reference angle,

the adjacent side of the right angle triangle is 4 in

the opposite side of the right angle triangle is w

To determine w, we would apply

the tangent trigonometric ratio which is expressed as

Tan θ = opposite side/adjacent side. Therefore,

Tan 32 = w/4

w = 4tan32 = 4 × 0.625

w = 2.5 in

8 0

3 years ago

The lengths of pregnancies in a small rural village are normally distributed with a mean of 265 days and a standard deviation of

MakcuM [25]

Answer:

the middle 50% of most lengths of pregnancies ranges between 255.62 days and 274.38 days

Step-by-step explanation:

Given that :

Mean = 265

standard deviation = 14

The formula for calculating the z score is $z = \dfrac{x -\mu}{\sigma}$

x = μ + σz

At middle of 50% i.e 0.50

The critical value for $z_{\alpha/2} = z_{0.50/2}$

From standard normal table

$z_{0.25}=$ + 0.67 or -0.67

So; when z = -0.67

x = μ + σz

x = 265 + 14(-0.67)

x = 265 -9.38

x = 255.62

when z = +0.67

x = μ + σz

x = 265 + 14 (0.67)

x = 265 + 9.38

x = 274.38

the middle 50% of most lengths of pregnancies ranges between 255.62 days and 274.38 days

3 0

3 years ago

For which distribution is the median best measure of center?

Nina [5.8K]

Uniform because the peak is mainly in the middle, I hope I helped

5 0

3 years ago

population growth problem: the deer population in georgia was 450,000 in 2010, and the population doubles every 5 years. in what

VikaD [51]

We know that in 2020 the population of deer will be 900,000 based on the given numbers. In another 5 years the population will be over 1 million (1,350,000) in order to calculate when it will reach 1 million we need to see how much growth is gained per year. I believe to obtain that information we will need to divide 450,000 by 5 that equals 90,000 a year. So if I’m 2020 the population of deer will be 900,000 than add 90,000 until you reach your 1 million marker. In this case 2021 would be 990,000 thousand so 2022 would be 1,080,000. So your answer should be year 2022. Hope that helps.

8 0

2 years ago

Calculate the slope of a line that passes through the points (-4,7) and (-1,3)

zmey [24]

Answer:

The answer is

$- \frac{4}{3} \\$

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

$m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4,7) and (-1,3)

We have

$m = \frac{3 - 7}{ - 1 - - 4} = \frac{ - 4}{ - 1 + 4} = - \frac{4}{3} \\$

We have the final answer as

$- \frac{4}{3} \\$

Hope this helps you

4 0

3 years ago