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Natali [406]
3 years ago
8

Samuel is at the top of the tower and will ride down a zip line to a lower tower. The total vertical drop of the zip line is 40f

t. The zip line's angle of elevation from the lower tower is 11.5° . To the nearest tenth, what is the horizontal distance between the towers?
Mathematics
1 answer:
fgiga [73]3 years ago
7 0

Answer:

196.6 feet

Step-by-step explanation:

Draw the right triangle formed by the zip-line.  Use SOH-CAH-TOA to write and solve an equation:

tan 11.5° = 40 / x

x = 40 / tan 11.5°

x = 196.6

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kherson [118]
The answer is -7

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Collect like terms

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Move constant to the right to change its sign

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3 0
3 years ago
Read 2 more answers
Please help me with these?? Work needs to be shown.
Y_Kistochka [10]

Answer:

Step-by-step explanation:

7) Area = 615.75 sq. km

πr² = 615.75

3.14*r² = 615.75

r² = 615.75/3.14 = 196

r = √196

r = 14 km

8) circumference = 15.71 yards

πd = 15.71

3.14*d = 15.71

d = 15.71/3.14  = 5 yards

9)Area = 415.48 sq.inches

πr² = 415.48

3.14*r² = 415.48

r² = 415.48/3.14 =  132.31

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8 0
3 years ago
If sinX= 0.9, what is the value of cos X?<br><br> Round the value to the nearest thousandth.
SSSSS [86.1K]

Answer: sqrt(19)/10

Step-by-step explanation:

sinx=0.9

x=arcsin(0.9)


Insert x for cos(x):

cos(arcsin(0.9)=

Use identify cos(arcsin(x))=\sqrt{1-x^{2} }, so

\sqrt{1-(\frac{9}{10})^{2}} =\sqrt{\frac{19}{100} } =\frac{\sqrt{19}}{10}


Sorry if this is confusing.



6 0
3 years ago
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Sauron [17]

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We know that Range is measured as

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a. 13.7-3.1=10.6

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As we can see Option b. has the largest range and as range is a measure of spread then option b is the distribution which has the largest spread.

4 0
3 years ago
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andrew-mc [135]

Answer:

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Hope this helps ^-^

3 0
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