600 centimeters_

Lucy’s parents built a swimming pool in the backyard. Use 3.14 for π.

Rus_ich [418]

Answer:

Distance around the pool = 162.8 feet

Area of the pool = 957 square feet

Step-by-step explanation:

Distance around the swimming pool = Perimeter of the pool

Perimeter of the pool which is a composite figure will be,

= Circumference of the semicircle + Sum of three sides of the pool

= πr + 2×(length of the pool) + width of the pool

= 3.14×(10) + 2×40 + 20

= 62.8 + 80 + 20

= 162.8 ft

Area of the pool = Area of the semicircle + Area of the rectangular pool

= $\frac{1}{2}(\pi)(r)^{2}+(\text{length}\times \text{Width})$

= $\frac{1}{2}(3.14)(10)^2+(40\times 20)$

= 157 + 800

= 957 square feet

8 0

2 years ago

A data set includes data from 500 random tornadoes. The display from technology available below results from using the tornado l

lisov135 [29]

Answer:

The null and alternative hypothesis are:

$H_0:\mu =2.6\\H_a:\mu >2.6$

There is sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles

Step-by-step explanation:

Consider the provided information.

The claim that the mean tornado length is greater than 2.6 miles.

If there is no statistical significance in the test then it is know as the null which is denoted by $H_0$ , otherwise it is known as alternative hypothesis which denoted by $H_a$ .

Therefore, the required null and alternative hypothesis are:

$H_0:\mu =2.6\\H_a:\mu >2.6$

significance level α =0.05

From the given table the test statistic T=2.230166

P-value is 0.0131

0.0131<0.05

P value is less than the significance level, so reject the null hypothesis.

There is sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles

6 0

2 years ago

The circle below has center P, and its radius is 3 m. Given that m 2 QPR=170°, find the length of the minor arc OR.

QveST [7]

Any smooth curve connecting two points is called an arc. The length of the arc m∠QPR is 2.8334π m.

<h3>What is the Length of an Arc?</h3>

Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,

$\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}$