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What is the sum of m A and m B if angles A and B are complementary? A. 0° B. 45° C. 90° D. 180°

dlinn [17]

Answer:

c.90

Step-by-step explanation:

Because complementary mean 90 degrees,look it up.And it does not give any other angles.100 percent/TRUST

4 0

4 years ago

An investment earn 6% simple interest. What amount of principal is need to have $3000 after 5 years

irakobra [83]

Answer:

The amount of $1000 principal is needed to have $3000 after 5 years.

Step-by-step explanation:

As the interest formula is

$I=Prt$

Where

P is the principle

r is the rate in decimal

t is the time in years

Substituting the following values in the interest formula and solve for P

I=$3000

r = 6% = 6/100 = $0.06$

t = 5

so the equation becomes

$I=Prt$

$3000=P\left(0.06\right)\left(5\right)$

switch both sides

$P\left(0.06\right)\left(5\right)=3000$

$P\left(0.3\right)=3000$

$P=10000$ $

Therefore, the amount of $1000 principal is needed to have $3000 after 5 years.

6 0

3 years ago

What is the length of ST if RS=7?

nika2105 [10]

We can use tangent to calculate the length of ST.

$\sf tangent=\dfrac{opposite}{adjacent}$

Here, the opposite side of the 60 degree angle is ST, and the adjacent is RS. Plug in what we know, we can use 'x' for side ST:

$\sf tan(60\textdegree )=\dfrac{x}{7}$

Solve for 'x', multiply 7 to both sides of the equation:

$\sf x=7tan(60\textdegree )$

This is an exact answer for the length of ST, we can find an approximate with a calculator:

$\sf x\approx 12.12$

3 0

4 years ago

Read 2 more answers

Find the Area of the figure below, composed of a rectangle and one semicircle, with another semicircle removed. Round to the nea

iren [92.7K]

Answer:

72 square units

Step-by-step explanation:

The figure shown has a uniform horizontal cross section, so is equivalent to a rectangle with length 12 and height 6. Its area is given by the rectangle formula:

A = LW

A = (12)(6) = 72 . . . . square units

__

<em>Additional comment</em>

Essentially, the semicircle removed from the left side is tacked onto the right side. The rectangle area is unchanged by that.

5 0

3 years ago

Explain step by step =) Harry rides his bike 25 3/8 miles. Karen rides her bike 25 2/5 miles. Who rides farther?

Alex

To answer this question we need to use subtraction.
we need to make the denominators the same.
In order to make them the same we need to find the least common multiple, of 8 and 5.
The least common multiple(the smallest shared value of the two numbers) is 40.

Next we divide our old denominator 5 by 40, which gives us 8, we multiply 8 by the numerator 2, which gives us 16. So now we have 16/20. We have to do the same to the other side. 8÷40 = 5. 5 x 3 = 15. Now we have 15/20.

Now we have a brand new equation, 16/40 - 15/40. The answer is 1/40.
In a fraction the answer is 1/40, so Karen rides her bike further.

In decimal form the answer is 0.025.

I hope this helps!

4 0

3 years ago