2 years ago

( 2 x -6 ) +4 ( x - 3 )

Mathematics

1 answer:

OLga [1]2 years ago

3 0

(2x-6) + 4(x-3) {distribute 4 out and expand problem}
2x+6+4x-12 {combine like terms}
6x-6 {your answer}

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Solve for the indicated angle to the nearest tenth of a degree. o 18 25

Sonbull [250]

Answer:

$\theta=54.2^\circ$

Step-by-step explanation:

Right Triangles

The ratios of the sides of a right triangle are called trigonometric ratios. Each acute angle has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The tangent ratio is defined as:

$\displaystyle \tan\theta=\frac{\text{opposite side}}{\text{adjacent side}}$

The opposite side is 25 and the adjacent side is 18, thus:

$\displaystyle \tan\theta=\frac{25}{18}=1.389$

The angle is calculated by using the inverse tangent function:

$\theta=\arctan 1.389$

$\boxed{\theta=54.2^\circ}$

5 0

3 years ago

A 33-inch board is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece.

GaryK [48]

Answer:

the shorter piece is 11 inches long

Step-by-step explanation:

x+2x=33in

3x=33in

33/3 = 11 =x

8 0

3 years ago

Due soon!! Find the measure of GE¯¯¯¯¯¯¯¯. A. 14 B. 20 C. 15 D. 16

Nataly_w [17]

Answer:

D. 16

Step-by-step explanation:

$GH^2 = GF \times GE$

$12^2 = 9 \times (9+x - 2)$

$144= 9 \times (7+x)$

$\frac{144}{9}= (7+x)$

$16= 7+x$

$16-7=x$

$9=x$

GE = 9 + x - 2 = 9 + 9 - 2 = 18 - 2

GE = 16

4 0

3 years ago

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Solve for the unknown in each triangle

Yuri [45]

The unknown angle would be 79 degreese.

6 0

3 years ago

Determine the slope between the points (5, -5) and (-1, 7)

meriva

Answer:

slope = 3

Step-by-step explanation:

5 - x1 -5 - y1

-1- x2 7 - y2

m= y2 - y1 / x2 - x1

m= 7 - (-5) / -1 -(-5)

m= 12 / 4

m= 3

4 0

3 years ago

Read 2 more answers