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xxTIMURxx [149]
3 years ago
8

Lanas avarage step length is about 0.5 meters. How many steps will she need to finish the race? (5 KILMEMETER RACE)

Mathematics
1 answer:
Alex Ar [27]3 years ago
4 0
The length of the race is 5 kilometers.
5 kilometers equals 5000 meters.

Since Lana's avarege step length is about 0.5 meters, we need to divide 5000 by 0.5

Steps = \frac{5000}{0.5} = 10000

Hence, Lana needs to take about 10000 steps.
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Sin θ = 12/37. Find tan θ.
ivann1987 [24]

Answer:

B

Step-by-step explanation:

Use SOHCAHTOA.

sinθ = \frac{opposite}{hypotenuse}

Opposite side length= 12

Hypotenuse length = 37

Find the adjacent side length (b) using the Pythagorean theorem.

12^2 + b^2 = 37^2

b = 35

tanθ = \frac{opposite}{adjacent} = 12/35

Choice B is the correct answer.

6 0
2 years ago
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Suppose that we wish to assess whether more than 60 percent of all U.S. households in a particular income class bought life insu
IceJOKER [234]

Answer:

A. 0.0049

B. Yes

Step-by-step explanation:

Sample proportion = 0.64

N = 1000

Population proportion = 0.60

We solve for standard deviation

= √p(1-p)/n

= √0.60(1-0.60)/1000

= √0.60x0.40/1000

= √0.00024

= 0.0155

A.

The probability of sample >=0.64

Z>=0.64-0.60/0.0155

Z >= 0.04/0.0155

So z >= 2.5806

Using excel this equal to 0.0049

0.0049 is probability of sample proportion being 0.64 at least.

B.

This answer in a shows that than 60% of households in the united states income class purchased life insurance last year.

3 0
2 years ago
Which of the following best describes the solution to the system of equations below? -6x + y = -3 7x - y = 3
rusak2 [61]

Answer:

<em>y= -3</em>

<em>x= 0</em>

Step-by-step explanation:

I will give the explanation in picture, hope you can understand it.

7 0
3 years ago
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Someone help if you can
Sav [38]

Answer:

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Mamont248 [21]

Answer:

below

Step-by-step explanation:

consecutive angles are supplementary in parallelogram

q+t = 180

3x+5+9x-17 = 180

12x-12 = 180

x-1 = 15

x=16

r=t = 127°

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2 years ago
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