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AVprozaik [17]
3 years ago
15

Angle B measures 60. What is the measure of the angle that is complementary to angle B ?

Mathematics
2 answers:
MaRussiya [10]3 years ago
8 0
120 degrees
(180-60=120)
MArishka [77]3 years ago
4 0

Answer: 30*

Step-by-step explanation:

Complementary angles add up to 90*

You might be interested in
Suppose that you have $6000 to invest. Which investment yields the greater return over four years: 8.25% compounded quarterly or
WARRIOR [948]
\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$6000\\
r=rate\to 8.25\%\to \frac{8.25}{100}\to &0.0825\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &4
\end{cases}
\\\\\\
A=6000\left(1+\frac{0.0825}{4}\right)^{4\cdot 4}\implies A=6000(1.020625)^{16}\\\\
-------------------------------\\\\



\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$6000\\
r=rate\to 8.3\%\to \frac{8.3}{100}\to &0.083\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{semiannually, thus two}
\end{array}\to &2\\
t=years\to &4
\end{cases}
\\\\\\
A=6000\left(1+\frac{0.083}{2}\right)^{2\cdot 4}\implies A=6000(1.0415)^8

compare them away.
4 0
3 years ago
A circular mirror has the diameter of 12 inches. what is the area in square inches?
nika2105 [10]
Hello!

To find the area of a circle you do \pi  r^{2}

Where r stands for radius.

The radius is just half the diameter

So you put that into a calculator and get 113.1in^{2}

Hope this helps!
5 0
4 years ago
The sum of the digits of a two-digit number is 8. The difference between the number and the reversed number is 10 more than the
Vesna [10]

Answer:

The number is 62

Step-by-step explanation:

Let the digits of the number be T and U;

A 2 digit number is represented as: 10T + U

So,

T + U = 8

10T + U - (10U + T) = 10 + 10U + T

Required

Find the digit

Make U the subject in the first equation

U = 8 - T

Substitute 8 - T for U in the second

10T + U - (10U + T) = 10 + 10U + T

10T + 8 - T - (10*(8-T) + T) = 10 + 10(8 - T) + T

10T + 8 - T - (80-10T + T) = 10 + 80 - 10T+ T

10T + 8 - T -80+10T - T = 10 + 80 - 10T+ T

Collect Like Terms

10T + 10T - T- T + 8  -80 = 10 + 80 - 10T+ T

18T -72 = 90 - 9T

9T + 18T  = 90 + 72

27T  = 162

T = 162/27

T = 6

Recall that:

U = 8 - T

U = 8 - 6

U = 2

<em>Hence, the number is 62</em>

5 0
3 years ago
Which section of the function is decreasing?<br><br><br> A<br> B<br> C<br> D
nydimaria [60]
The section decreasing is D 
6 0
3 years ago
The area of a square in square feet is repersented by
statuscvo [17]

<u><em>1. Find an expression for a side length of the square.</em></u>

For this case, the first thing to do is to know that the area of a square is:

A = L ^ 2

Where

L: side of the square.

We then have to factorize the given polynomial:

z ^ 2 + 12z + 36

(z + 6) * (z + 6)

Rewriting:

z ^ 2 + 12z + 36 = (z + 6) ^ 2

<u><em> Answer:</em></u>

<u><em> The side of the square is:</em></u>

<u><em> L = (z + 6)</em></u>

<u><em> 2. Find the perimeter when z = 12.</em></u>

The perimeter of a square by definition is:

P = 4L

Where

L: side of the square.

Substituting we have:

P = 4 (z + 6)

For z = 12 we have:

P = 4 (12 + 6)

P = 72

<u><em>Answer:</em></u>

<u><em> the perimeter when z = 12 is:</em></u>

<u><em>P = 72</em></u>

<em></em>

<em>              If helpful, please mark as brainliest! =)</em>

4 0
3 years ago
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