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SpyIntel [72]
3 years ago
5

You decide on Talisman Mountain Resort. To reach the top of the mountain at this resort, skiers

Mathematics
1 answer:
evablogger [386]3 years ago
7 0

Based on the angle of inclination and the distance up the side of the mountain, the height of the top of the mountain is 2,619 m.

What is the height of the mountain?

The Sin formula can be used here.

For the first lift, the Sin formula shows:

Mountain height till first lift / Distance traveled = Sin (angle of inclination)

Mountain height / 2,200 = Sin 48°

Mountain height first lift = 2,200 x Sin 48°

The second lift:

Mountain height second lift = 1,500 x Sin 41°

The total height is:

= (2,200 x Sin 48°) + (1,500 x Sin 41°)

= 2,619 meters

Find out more on the Sin formula at brainly.com/question/11542878.

#SPJ1

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What is the 1st term when –5z2 + 7z4 + 11z – 8z3 is arranged in descending order?
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3 years ago
Solve for b. a+3b=5c-9
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(5c-9-a)/3

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1. subtract a from both sides to isolate the variable and its coefficient

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2 years ago
A church group is interested in estimating the true proportion of Americans who attend weekly religious services. How large a sa
artcher [175]

Answer:

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

We can use an estimatior for the population proportion as \hat p=0.5 since we don't know previous info. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since the confidence level is 99%, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.03 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

We can use an estimatior for the population proportion as \hat p=0.5 since we don't know previous info. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

8 0
3 years ago
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