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2 years ago

9

A diagram showing a neighborhood park is plotted on the coordinate plane. Each unit on the coordinate plane represents 1 yard. F

ind the PERIMETER and the AREA.

1 answer:

grandymaker [24]2 years ago

3 0

Answer:

Step-by-step explanation

The length of the left sloping line

= √ (5^2 + 7^2) = √74.

The right sloping line

= √(5^2 + 5^2) = √50.

So the perimeter:

= √74 + √50 + 2 + 2 * 4 + 14

= 39.67 to nearest hundreth.

Area = 1/2 * 5 * 7 + 2*5 + 1/2 * 5 * 5 + 4*14

= 96.

You might be interested in

If the volume of a sphere is 36 cubic units, what is the radius? 3 units 4√3 units 9 units

nikdorinn [45]

Answer:

radius = 2.05 units

Step-by-step explanation:

The volume of a sphere is given by the formula: $V=\frac{4}{3} \pi r^3$ . In this formula:

V = volume of the sphere
r = radius of the sphere

Since we are given the volume of the sphere (36 units^3), we just need to solve for r in the equation for the volume of a sphere.

Substitute 36 for V into the formula and solve for r.

$36=\frac{4}{3} \pi r^3$

Divide both sides by $\frac{4}{3}$ . To do this, multiply 36 by the reciprocal of $\frac{4}{3}$ .

$36\times \frac{3}{4}$
$36\times \frac{3}{4} =\frac{108}{4} \rightarrow 27$

Simplify and rewrite the equation.

$27=\pi r^3$

Now divide both sides of the equation by pi ( $\pi$ ).

$27\div\pi=8.59436692696$

Rewrite the equation.

$8.59436692696=r^3$

To isolate and solve for r, cube root both sides of the equation.

$r=\sqrt[3]{8.59436692696}$
$r=2.04835218977$

The radius of this sphere is 2.04835218977 units. If your question wants this rounded to the nearest:

whole number: 2 units
tenth: 2.0 units
hundredth: 2.05 units
thousandth: 2.048 units

I'll just give the answer rounded to the nearest hundredth as that seems the most popular.

8 0

3 years ago

Read 2 more answers

The average high-school teacher annual salary is $43,000. Let teacher salary be normally distributed with a standard deviation o

Dvinal [7]

Answer:

a) 0.219

b) 0.02

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 43000, \sigma = 18000$

a. What percent of high school teachers make between $40,000 and $50,000?

This is the pvalue of Z when X = 50,000 subtracted by the pvalue of Z when X = 40,000.

So

X = 50,000

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{50000 - 43000}{18000}$

$Z = 0.39$

$Z = 0.39$ has a pvalue of 0.6517.

X = 40,000

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{40000 - 43000}{18000}$

$Z = -0.17$

$Z = -0.17$ has a pvalue of 0.4325

So 0.6517 - 0.4325 = 0.219 = 21.9% of high school teachers make between $40,000 and $50,000.

b. What percent of high school teachers make more than $80,000?

This is 1 subtracted by the pvalue of Z when X = 80000. SO

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{80000 - 43000}{18000}$

$Z = 2.06$

$Z = 2.06$ has a pvalue of 0.9803.

So 1-0.9803 = 0.0197 = 0.02 = 2% of high school teachers make more than $80,000.

6 0

3 years ago

Activity which odd number comes immedediatly before 87?

sergejj [24]

85 comes immediately before

6 0

3 years ago

How to find displacement from velocity.

Ipatiy [6.2K]

Answer:

<em>The average velocity of the object is multiplied by the time traveled to find the displacement. The equation x = ½( v + u)t can be manipulated, as shown below, to find any one of the four values if the other three are known.</em>

5 0

2 years ago

8 friends have 2 pizzas how many pieces do each friend get

arsen [322]

Answer:

16

Step-by-step explanation:

6 0

4 years ago