The measure of an angle is nine times the measure of its complement. find the measure of each angle.

1 answer:

5 0

Two angles are complementary when they add up to 90 degrees

smaller angle = x
larger angle = 9x

x + 9x = 90
10x = 90
x = 90/10
x = 9° ← smaller angle

larger angle = 9x = 9 * 9 = 81°

You might be interested in

Find the surface area of the prism formed by the net

Lunna [17]

ANSWER

$T.S.A=1960m^2$

EXPLANATION

The diagram represents the net of a rectangular prism.

The dimensions are,

$l=42m$

$w = 14m$

and

$h = 7m$

The total surface area of a rectangular prism is given by:

$T.S.A=2(lw + lh + wh)$

We substitute the values to obtain,

$T.S.A=2(42 \times 14 + 42 \times 7 + 14 \times 7)$

$T.S.A=2(980)m^2$

$T.S.A=1960m^2$

3 0

3 years ago

6. For what value of p, the binary number 110P/2 represents 25?

lions [1.4K]

Step-by-step explanation:

25 as binary number is

11001

1×2⁴ + 1×2³ + 0×2² + 0×2¹ + 1×2⁰ = 16 + 8 + 1 = 25

25×2 = 50 = 11001 × 2 = 110010

multiplying a binary number by 2 is the save effect as multiplying a normal decimal number by 10 : all digits move one position to the left, and a 0 is put into the empty right position.

and so, we see

110P = 110010

P = 010

FYI : you normally don't mix binary and decimal numbers. if one of the numbers is binary, then all the others have to be binary too.

so, the problem should have looked like

110P/10 = 11001

110P = 11001×10 = 110010

P = 010

3 0

1 year ago

Read 2 more answers

How do i do this????