The solution to 3.2x = 11.52 is x = ___. 3.6 8.32 14.72 36.8

Triangle QRS has been rotated 90° to create triangle TVU. Using the image below, prove that lines RS and VU have the opposite an

Zanzabum

Answer:

If the line RS has been rotated 90 degrees, then VU will be perpendicular to RS and the two slopes must be opposite and reciprocal, i.e. product of the two slopes will equal -1.

As a verification, we find the locations of V and U from rotations of R & S.

(actually, the triangle had been rotated -90°, 90 ° clockwise)

Step-by-step explanation:

Slope RS, m1:

Slope VU, m2

Hence m1*m2=1*-1=-1, meaning that m1 and m2 are opposite (in sign) and are reciprocal to each other, as expected

6 0

3 years ago

How do you find the area of the shaded sector of the circle? The radius is 10in and the sector is 45 degrees

Step2247 [10]

Given:

Radius of the circle = 10 in

Central angle of the sector = 45 degrees

To find:

The area of the sector.

Solution:

Area of a sector is

$A=\dfrac{\theta}{360^\circ}\pi r^2$

Where, $\theta$ is the central angle in degrees.

Putting r=10 and $\theta=45^\circ$ , we get

$A=\dfrac{45^\circ}{360^\circ}\pi (10)^2$

$A=\dfrac{1}{8}\pi (100)$

$A=12.5\pi$

Therefore, the area of the sector is 12.5π sq. inches.

7 0

3 years ago

Sasha places an online order. In addition to the price of the item she orders, she pays 5% tax and a flat shipping fee of $15. T

natita [175]

Answer:

$120

Step-by-step explanation:

Let the price is x.

Set the equation and solve for x:

(x + 5%) + 15 = 141
1.05x + 15 = 141
1.05x = 126
x = 126/1.05
x = 120

8 0

3 years ago

Read 2 more answers

Simplify Help me please

Reika [66]

Answer:

$\frac{-27b^{6}}{c^{18}}$

Step-by-step explanation:

first distribute the ^3, -3^3=-27, for the variables, (x^y)^3=x^(3y) so (b^2)^3=b^6 and (c^-6)^3=c^-18. now we have $-27b^{6}c^{-18}$ . Next we have to get rid of the negative in c^-18. x^-y=1/x^y so c^-18= $\frac{1}{c^{18}}$ , plug it in and you get $\frac{-27b^{6}}{c^{18}}$