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3 years ago

Together, angles A and B form a 90° angle. Angle A measures 54°. What is the measure of angle B?

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

5 0

Answer:

Step-by-step explanation:

90-54=36

right angles measure 90 therefore angle a and b has to add up to 90

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Solve the equation 4\pi =w-6\pi

maksim [4K]

Answer:

4/pi=w-6/pi

4 = w-6

Pi pi

Cross mutiply

Pi(w-6)=4(pi)

Wpi - 6pi =4pi

Collect like terms

Wpi=4pi + 6pi

Wpi =10pi

Divide both sides by pi

Wpi = 10pi

Pi pi

W = 10

5 0

3 years ago

If it takes 5 years for an animal population to double, how many years will it take until the population

muminat

9514 1404 393

Answer:

7.92 years

Step-by-step explanation:

We want to find t such that ...

3 = 2^(t/5)

where 2^(t/5) is the annual multiplier when doubling time is 5 years.

Taking logs, we have ...

log(3) = (t/5)log(2)

t = 5·log(3)/log(2) ≈ 7.92 . . . years

It will take about 7.92 years for the population to triple.

6 0

3 years ago

A rhombus has a perimeter of 484 feet. What is the length of each side of the rhombus?

LenKa [72]

Each side of the rhombus is 121 feet

5 0

3 years ago

Trina, James, and Michael are training for a 10-kilometer race. After 30 minutes of a training run, Michael lead the group, and

Llana [10]

Answer:

1/3

Step-by-step explanation:

1/2 James' fraction of Michael

2/3 Trina's fraction of James

1/2 x 2/3 = 1/3

5 0

3 years ago

triangle MNO is an equilateral triangle with sides measuring 16 units What is the height of the triangle?

fiasKO [112]

see the attached figure to better understand the problem

we know that

The equilateral triangle has three equal sides

in the equilateral triangle ABC

$AB=BC=AC=16 units$

the height of the triangle is the segment BD

in the right triangle BCD

Applying the Pythagorean Theorem

$BC^{2} =BD^{2}+DC^{2}$

solve for BD

$BD^{2}=BC^{2}-DC^{2}$

substitute the values

$BD^{2}=16^{2}-8^{2}$

$BD^{2}=192$

$BD=\sqrt{192}\ units$

therefore

the answer is

the height of the triangle is $\sqrt{192}\ units$

7 0

3 years ago

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