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balandron [24]
3 years ago
5

For positive acute angles A and B, it is known that cos A = 4/5 and tan B =5/12 Find the value of cos(A + B) in simplest form.

Mathematics
1 answer:
lys-0071 [83]3 years ago
5 0

Answer:

33/16

Step-by-step explanation:

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The perimeter of a quadrant of a circle is 71.4cm. Find its area ​
Karolina [17]

Answer:

circle: 6490.9 cm², quadrant: 1622.7 cm²

Step-by-step explanation:

The circumference of the entire circle is known as 2πr and it is 4 times the given value, since a circle has 4 quadrants:

2πr = 4·71.4 = 285.6, so r = 285.6 / 2π ≈ 45.45

The area of a circle is πr², filling in the value for r we just found:

πr² = π 45.45² ≈ 6490.9 cm²

So the area of a quadrant is one fourth of that:

6490.9/4 = 1622.7 cm²

The question about "its area" can denote the entire circle, or just the quadrant, so two answers are provided.

8 0
2 years ago
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Based on the graph, how many students are represented? A) 100 students B) less than 150 C) less than 200 D) less than 300
kondor19780726 [428]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
What’s the radius of a circle with the circumference of 37.68 feet
Lina20 [59]

Answer:

r≈6ft

Step-by-step explanation:

Using the formula

C=2πr

Solving forr

r=C

2π=37.68

2·π≈5.99696ft

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7 0
3 years ago
Write the number name for 43,080,700
Likurg_2 [28]
Forty three million, eighty thousand, seven hundred  
5 0
3 years ago
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Precalculus
kodGreya [7K]

Answer:

$24.35

Step-by-step explanation:

We will use the compound interest formula provided to solve this problem:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, change 1% into a decimal:

1% -> \frac{1}{100} -> 0.01

Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:

A=800(1+\frac{0.01}{12})^{12(3)}

A=824.35

Lastly, subtract <em>A </em>from the principal to get the interest earned:

824.35 - 800 = 24.35

8 0
3 years ago
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