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kogti [31]
2 years ago
14

In ABC, AB=3 and AC=9 find m<B to the nearest degree

Mathematics
2 answers:
olga55 [171]2 years ago
7 0

Answer: 72° (nearest degree)

Semmy [17]2 years ago
4 0
By definition,
tanB = opposite/adjacent = 9/3 = 3

From the calculator,
B = arctan(3) = 71.6°

Answer: 72° (nearest degree)
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The measure of the supplement of an angle exceeds three times the measure of the complement by 30. Find the measure of the angle
USPshnik [31]

Answer:

Angle = 45

Supplement = 135

Complement = 45

Step-by-step explanation:

5 0
2 years ago
Consider the following formula used to estimate height, h, of a seedling after w weeks since planting:
svp [43]

Answer:

Option B. w=5h-8

Step-by-step explanation:

we have

h=(\frac{1}{5})w+(\frac{8}{5})

Solve for w

That means ----> isolate the variable w

Multiply by 5 both sides to remove the fraction

5h=w+8

subtract 8 both sides

5h-8=w+8-8

5h-8=w

Rewrite

w=5h-8

4 0
2 years ago
Nathan is out rafting. He rafts 16 miles with the river current. At the end of 16 miles, he turns around and rafts the same dist
Novosadov [1.4K]
S = d/t

st = d

t = d/s

The time going is t1.
The time returning is t2.
The total time is 4 hours, so we have t1 + t2 = 4

The speed of the current is c.
The speed going is 9 + c.
The speed returning is 9 - c.

t1 = 16/(9 + c)

t2 = 16/(9 - c)

t1 + t2 = 16/(9 + c) + 16/(9 - c)

4 = 16/(9 - c) + 16/(9 + c)

1 = 4/(9 - c) + 4/(9 + c)

(9 + c)(9 - c) = 4(9 - c) + 4(9 + c)

81 - c^2 = 36 - 4c + 36 + 4c

81 - c^2 = 72

c^2 = 9

c^2 - 9 = 0

(c + 3)(c - 3) = 0

c + 3 = 0   or   c - 3 = 0

c = -3   or   c = 3

We discard the negative answer, and we get c = 3.

The speed of the current is 3 mph.
7 0
2 years ago
Read 2 more answers
Isabella paid one of her bill late and owed a 4% late fee was 780. How much was Isabella's original bill in dollar
Rainbow [258]
You multipy 0.04 x 780
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2 years ago
The inequality describes the range of monthly average temperatures T in degrees Fahrenheit at a certain location. Find an equiva
kolezko [41]

Answer:

Now if the high and low monthly average temperatures satisfy the inequality, then the , monthly averages are always within 22 degrees of 43°F.

Step-by-step explanation:

The inequality describes the range of monthly average temperatures T in degrees Fahrenheit at a certain location.

The inequality expression is given as:

|T-43|\leq 22

now this expression could also be expressed as:

-22\leq T-43\leq22\\\\-22+43 \leq T \leq 22+43\\\\21\leq T\leq 65

Now if the high and low monthly average temperatures satisfy the inequality, then the , monthly averages are always within 22 degrees of 43°F.

( As the difference is 22 degrees to the left and right)

5 0
2 years ago
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