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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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Write an equation of the line with the same slope as the line given by 5x + 2y = 8 and the same y-intercept as the line given by
kaheart [24]
In y = mx + b form, the slope is in the m position and the y intercept is in the b position.

5x + 2y = 8
2y = -5x + 8
y = -5/2x + 8.....slope (m)  is -5/2

3x - 7y = 10
-7y = -3x + 10
y = 3/7x - 10/7.....y int (b) = -10/7

so ur equation with slope(m) of - 5/2 and y int (b) of -10/7 is :
y = -5/2x - 10/7 <== slope intercept form



8 0
3 years ago
How many 5 1/4 ounce glasses can be completely filled from a 33 1/2 ounce container of juice?
geniusboy [140]
You need to divide.
We are dividing the mixed numeral 33 1/21 by the mixed numeral 5 1/4.

(33 1/2 ) / (5 1/4) =

The first step is to change the two mixed numerals into improper fractions.
33 1/2 = 67/2, and 5 1/4 = 21/4

= (67/2) / (21/4)

Now we are dividing the fraction 67/2 by the fraction 21/4.
To divide a fraction by a fraction, rewrite the first fraction, change division intro multiplication, and flip the second fraction. To divide 67/2 by 21/4, we multiply 67/2 by 4/21.

= 67/2 * 4/21

To multiply fractions, multiply together the numerators, and multiply together the denominators. 67 * 4 = 268; 2 * 21 = 42

= 268/42

Using a calculator, 268/42 = 6.38095...

You can fill 6 full glasses.
5 0
3 years ago
Evaluate∣2x+7∣ for x=-4
yanalaym [24]

∣2x+7∣ for x=-4

Use the substitution method

∣2*-4+7∣

Mutiply first then add +7

∣2*-4∣= -8

∣-8+7∣= -1

Whenever there is a negative number for absolute value , the number becomes a + positive number.

∣-1∣= 1

Answer:

1

5 0
3 years ago
Please help.........
Schach [20]

Answer: what the heck do you have to answer

Step-by-step explanation:

3 0
3 years ago
I asked my dad how to solve this question and he part helped me and I was like ohhhhhhhhhhh so now I want you to solve it. I'll
matrenka [14]

Answer:

Whats the question? I can surely answer it.

3 0
3 years ago
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