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marta [7]
3 years ago
14

B Round your answer to the nearest hundredth. A 9 B 5

Mathematics
1 answer:
nignag [31]3 years ago
8 0

Answer:

  56.25°

Step-by-step explanation:

The definition of the cosine function tells you that

  cos(B) = BC/BA

  B = arccos(BC/BA) = arccos(5/9)

  B ≈ 56.25°

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What is the slope of a line that is parallel to the line whose equation is ax+by=c?
miskamm [114]

Answer:

-a/b

Step-by-step explanation:

ax+by=c

First get the equation in slope intercept form ( y= mx+b  where m is the slope and b is the y intercept)

Subtract ax from each side

ax+by -ax=-ax +c

by = -ax+c

Divide each side by b

by/b = -ax/b + c/b

y = -a/b * x + c/b

The slope is -a/b and the y intercept is c/b

We want the line parallel so it has the same slope, -a/b

3 0
3 years ago
Read 2 more answers
1/2x + 4=9<br> What does x equal?
Ludmilka [50]

Answer:

x=10

Step-by-step explanation:

1/2x+4=9

subtract 4 from both sides

1/2x=5

multiply both sides by 2 to get x by itself

x=10

5 0
3 years ago
Read 2 more answers
A TEACHER IS CONSTRUCTING A MATHEMATICS TEST
Nuetrik [128]

The number of ways of constructing questions from the pool of 28 questions if her test is to have 3 difficult, 4 average and 3 easy questions is  924, 000 ways

<h3>How to determine the combination</h3>

Note that the formula for combination is given as;

Combination = \frac{n!}{r!(n-r)!}

From the information we have that;

There are 28 questions in the pool

The test should have a total of 10 questions;

6 difficult , 10 average and 12 easy questions

We are asked to determine the combination of;

3 difficult questions

4 average questions

3 easy questions

6C3 = \frac{6!}{3!(6-3)!}

6C3 = \frac{720}{36}

6C3 = 20

10C4 = \frac{10!}{4!(10-4)!}

10C4 = \frac{3628800}{17280}

10C4 = 210

12C4 = \frac{12!}{4!(12-4)!}

12C4 = 220

The number of ways of constructing the questions is

= 20 × 210 × 220

= 924, 000 ways

Thus, the number of ways of constructing questions from the pool of 28 questions if her test is to have 3 difficult, 4 average and 3 easy questions is  924, 000 ways

Learn more about combination here:

brainly.com/question/4658834

#SPJ1

7 0
2 years ago
4 1/3 Divided by 1/2
romanna [79]
Answer: 26/3

Explanation: Convert 4 1/3 which is 13/3

13/3 divided by 1/2

13/3 * 2

13/3 * 2= 26/3
8 0
3 years ago
10) Solve the system by the elimination method. Check the solution.
Galina-37 [17]

Answer:

x =2, y = 2

Step-by-step explanation:

x + 2y = 6....(1) \\ -x + 5y = 8....(2) \\  adding \: equations \: (1) \: and \: (2) \\ x + 2y = 6\\ -x + 5y = 8 \\  -  -  -  -  -  -  -   \\ 7y = 14 \\ y =  \frac{14}{7}  \\ \huge \red{ \boxed{ y = 2}} \\ substituting \: y = 2 \: in \: equation \: (1) \\ x + 2 \times 2 = 6 \\ x + 4 = 6 \\ x = 6 - 4 \\\huge \purple{ \boxed{ x = 2}} \\  \\ \huge \orange{ \boxed{(x, \: y) = (2, \: 2)}}

8 0
3 years ago
Read 2 more answers
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