All categories

2 years ago

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)

You might be interested in

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

5 0

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.