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Drupady [299]
3 years ago
10

Find c to two decimal places and find the measure of angle B. Angle A = 58°, Side AC = 5, Side BC = 8, Find side C. Angle C is 9

0°. ​
Mathematics
1 answer:
KATRIN_1 [288]3 years ago
5 0

Answer:

  • c = 9.43
  • m∠B = 32°

Step-by-step explanation:

Side c = AB can be found using the Pythagorean theorem:

  c² = a² + b² = 8² +5² = 89

  c = √89 ≈ 9.43

__

Angle B is the complement of angle A, so is ...

  B = 90° -A = 90° -58° = 32°

c is approximately 9.43; the measure of angle B is 32°.

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Tammy has scored 82, 78, and 93 on her previous three tests. What score does she need on her next test so that her average (mean
Lyrx [107]

Answer:

She needs a grade of 71 on her next text.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all values in the data-set divided by the number of values.

Tammy has scored 82, 78, and 93 on her previous three tests.

Thus, her grades are 82, 78, 93 and x, in which x is her grade in the fourth test.

There are 4 tests.

What score does she need on her next test so that her average (mean) is 81?

We have to find x when the mean is 81. So

\frac{82 + 78 + 93 + x}{4} = 81

253 + x = 324

x = 324 - 253

x = 71

She needs a grade of 71 on her next text.

5 0
3 years ago
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3 years ago
The sum of two numbers is 19, and their difference is 55. What are the two numbers?
Vilka [71]

Answer:

37 and -18

Step-by-step explanation:

Let one number be x and other y

1 x + 1 y = 19 .............1

1 x -1 y = 55 .............2

Eliminate y

multiply (1)by 1

Multiply (2) by 1

1 x 1 y = 19

1 x + -1 y = 55

Add the two equations

2 x = 74

/ 2

x = 37

plug value of x in (1)

1 x + 1 y = 19

37 + 1 y = 19

1 y = 19 -37

1 y = -18

y = -18

37 and -18

5 0
3 years ago
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Shalnov [3]
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3 years ago
Michelle’s house is 22 miles due north of Jan’s house and 30 degrees northeast of Richard’s house. Richard’s house is due east o
tensa zangetsu [6.8K]

Answer:

Michelle’s house is 44 miles to Richard’s house.

Step-by-step explanation:

The distance can be found out by using the trigonometric ratio of sine theta

Sine theta= Perpendicular/ Hypotenuse

We know the values of hypotenuse and theta

Sine 30 = 22/ Hypotenuse

Hypotenuse= 22/ sine 30

Hypotenuse= 22/0.5

Hypotenuse = 44

The hypotenuse marks the distance between Michelle’s house to Richard’s house. Due east means counter clockwise rotation from east.

3 0
2 years ago
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