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stepladder [879]
3 years ago
10

Express answer in exact form.

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
3 0
Radii and chord form an equilateral triangle. The angle of the larger segment is 360^o-60^o=300^o.

The length of the larger segment is

l= \frac{2r\pi\alpha}{360^o}= \frac{2\times 8\pi300^o}{360^o}= \frac{ 16\pi5}{6}= \frac{ 8\pi5}{3}=\frac{ 40\pi}{3}
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In ΔNOP, the measure of ∠P=90°, PO = 77, NP = 36, and ON = 85. What ratio represents the cosine of ∠N?
Usimov [2.4K]

Answer:

36:85

Step-by-step explanation:

Given the right angled triangle as shown in the attachment, the cos of angle N can be gotten by simply using the CAH method in SOH CAH TOA.

According to CAH

Cos∠N = Adjacent/Hypotenuse

Hypotenuse is the longest of the triangle |ON| = 85

Since the opposite side to ∠N is 77, the third side will be the Adjacent side.

Adjacent side will be |NP| = 36

Therefore:

Cos∠N = 36/85

The ratio that represents the cosine of ∠N is 36:85

3 0
2 years ago
Which absolute value function has a graph that is wider than the parent function, f(x) = |x|, and is translated to the right 2 u
RoseWind [281]

Transformation involves changing the form of a function.

The absolute value function is f(x)=0.3|x -2|

The parent function of the absolute value function is:

f(x)=|x|

When the function is translated 2 units to the right, the new function is:

f(x)=|x -2|

From the function to be wider than the absolute function, the function must be stretched by a factor less than 1.

The possible function from the list of given options is f(x)=0.3|x -2|

Read more about function transformation at:

brainly.com/question/1548871

6 0
2 years ago
Two boats start their journey from the same point A and travel along directions AC and AD, as shown below
adell [148]

Answer:

a

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
The preimeter of a rectangle is 50 inches. The width of the rectangle is 10 inches. What is the length of the rectangle?
Montano1993 [528]
Perimeter = 2(L + W)
2(L + 10) = 50
2L + 20 = 50
2L = 30, L = 15
Solution: the length is 15 inches
6 0
2 years ago
Solve the equation. u+3=7
iogann1982 [59]

Answer: 4

Step-by-step explanation:

u+3=7

u=7-3

u=4

3 0
3 years ago
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