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charle [14.2K]
3 years ago
13

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 56°, a = 16, b = 17 (5

points)
Mathematics
1 answer:
Blizzard [7]3 years ago
7 0

Answer:

B = 61.75°

Step-by-step explanation:

The formula for the Law of Sines is given as:

a/ sin A = b/ sin B

In the question, we are given the following values

A = 56°, a = 16, b = 17

We are to solve for B

Hence,

16/ sin 56° = 17/sin B

Cross Multiply

sin B × 16 = sin 56° × 17

sin B = sin 56° × 17/16

sin B = 0.88

B = arc sin(0.88)

B = 61.74536°

Approximately B = 61.75°

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It is posable to spend ur limit on ur credit card

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3 eggs and 2 cups of sugar to make 30 cookies. How many eggs and cups of sugar do you need to make 50 cookies.
sineoko [7]

Answer:

<u>5 eggs and 3.33 cups of sugar</u>

Step-by-step explanation:

3 eggs are required to make 30 cookies

1 cookie needs 3/30 eggs

so,50 cookies needs 50*3/30=150/30=<u>5 eggs</u>

2 cups of sugar is required to make 30 cookies

1 cookie needs 2/30 cups of sugar

so,50 cookies needs 50*2/30=100/30=<u>3.33 cups of sugar</u>

5 0
3 years ago
The endpoints of CD are C(−2, 0) and D(4, 9).<br> The coordinates of the midpoint M of CD are?
jenyasd209 [6]

Answer:

<em>1, 4.5</em>

Step-by-step explanation:

for midpoint

x₁ = -2, y₁ = 0

x₂ = 4, y₂ = 9

for midpoint

(x₁+x₂)/2 , (y₁+y₂)/2

(-2+4)/2 , (0+9)/2

2/2 , 9/2

1, 4.5

4 0
3 years ago
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You invest 1300 in a account that pays an interest rate of 4.75% what's the balance after 5 years ?
UNO [17]
Total = Principal * (1 + rate)^years
Total = 1,300 * (1.0475) ^ 5
Total = 1,300 * <span> <span> <span> 1.2611599139 </span> </span> </span>
Total = <span> <span> <span> 1,639.5</span></span></span>1


4 0
3 years ago
Lisa is in charge of planning a reception for 3600 people. She is trying to decide which snacks to buy. She has asked a random s
Olenka [21]

Answer:

The expected number of the people at the reception whose favorite snack will be chips is 1152

Step-by-step explanation:

Given

The data in the above table and

Reception = 3600

Required

Predict the number of the people at the reception whose favorite snack will be chips.

The first step is to determine the total number of samples;

Total = Brownies + Cookies + Chips + Other

Total = 32 + 22 + 56 + 65

Total = 175

The next step is to determine the fraction of people whose favorite is chips

Fraction = \frac{Chips}{Total}

Fraction = \frac{56}{175}

The product of the above fraction and the expected number of people in the reception is the solution to this question;

Expected\ Number = \frac{56}{175} * 3600

Expected\ Number = \frac{56* 3600}{175}

Expected\ Number = \frac{201600}{175}

Expected\ Number = 1152

<em>Hence, the expected number of the people at the reception whose favorite snack will be chips is 1152</em>

5 0
3 years ago
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