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Licemer1 [7]
2 years ago
10

In triangle ABC, what is the measure of b if a = 6, C = 4,

Mathematics
1 answer:
liubo4ka [24]2 years ago
5 0

Given:

In triangle ABC,  a = 6, c = 4, and B = 75°.

To find:

The measure of b.

Solution:

According to the Law of Cosine:

b^2=a^2+c^2-2ac\cos B

Substituting the given values in the above formula, we get

b^2=(6)^2+(4)^2-2(6)(4)\cos (75^\circ)

b^2=36+16-48(0.2588)

b^2=52-12.4224

b^2=39.5776

Taking square root on both sides, we get

b=\sqrt{39.5776}

b=6.291073

b\approx 6.29

The measure of side b is 6.29 units.

Therefore, the correct option is B.

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3 years ago
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loris [4]

Answer:

2

Step-by-step explanation:

Remember the rule with negatives. -x/-y=x/y

So -6/-3=6/3

6/3=2

4 0
3 years ago
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Let f(t) be the number of vinyl records s
KIM [24]
I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
 PLEASE SEE ATTACHED IMAGE.

 First, we define the variables:
 x: number of years after 1950
 f (x): amount of vinyl sold.
 Then, with the variables defined, we have:

 68594 vinyl records were sold in 1958 ---------> f (8) = 68594

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5 0
3 years ago
Agustin has 1/4 as many cards as mateo.mateo has 1/2 as amaro.who has the most cards?
Ket [755]

Answer:

amaro

Step-by-step explanation:

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5 0
3 years ago
Drag numbers to the table so it shows a proportional relationship between x and y.
Marat540 [252]

Using the proportional relationship equation, the missing values are:

Third row: x = 6 and y = 9

Fourth row: x = 15

<h3>What is a Proportional Relationship?</h3>

A proportional relationship can be described as a relationship between two variables, x and y, that have equivalent ratios. In order words, one variable always equals a constant when multiplied by the other variable.

The constant is called the constant of proportionality which can be represented as k.

Thus, k = y/x.

A proportional relationship between x and y can be represented with the equation, y = kx, where k is the constant of proportionality.

Using the pairs given in the table, (3, 4.5), find the constant of proportionality, k:

k = y/x = 4.5/3

k = 1.5

The equation that models the proportional relationship of the values in the table would be: y = 1.5x.

Use the equation to find the rest of  the missing values.

Third row:

If x = 6 and y = 9, then,

k = y/x = 9/6 = 1.5

The missing values for the third row would be: x = 6 and y = 9

Fourth row: Substitute y = 2.5 into y = 1.5x to find x

22.5 = 1.5x

22.5/1.5 = x

15 = x

x = 15

Missing value in the fourth row will be: x = 15.

Learn more about proportional relationship on:

brainly.com/question/15618632

#SPJ1

4 0
2 years ago
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