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3 years ago

Write an equation using mx+b (0,-5), (-4,-1)

Mathematics

1 answer:

sdas [7]3 years ago

4 0

M(Slope)= -3/-5x
B(Y-Intercept)=-5
Mx+b(Equation)=-3/-5x-5

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Find the exact value of cos theta, given that sin thetaequalsStartFraction 15 Over 17 EndFraction and theta is in quadrant II.

vova2212 [387]

Answer:

$cos \theta = -\frac{8}{17}$

Step-by-step explanation:

For this case we know that:

$sin \theta = \frac{15}{17}$

And we want to find the value for $cos \theta$ , so then we can use the following basic identity:

$cos^2 \theta + sin^2 \theta =1$

And if we solve for $cos \theta$ we got:

$cos^2 \theta = 1- sin^2 \theta$

$cos \theta =\pm \sqrt{1-sin^2 \theta}$

And if we replace the value given we got:

$cos \theta =\pm \sqrt{1- (\frac{15}{17})^2}=\sqrt{\frac{64}{289}}=\frac{\sqrt{64}}{\sqrt{289}}=\frac{8}{17}$

For our case we know that the angle is on the II quadrant, and on this quadrant we know that the sine is positive but the cosine is negative so then the correct answer for this case would be:

$cos \theta = -\frac{8}{17}$

5 0

2 years ago

The horizontal cross-sectional shapes of the prism given below are all

Genrish500 [490]

It is true that is the

6 0

2 years ago

Read 2 more answers

A group of students made trees out of paper for a scene in a school play. The trees are shaped like square pyramids. The base is

Readme [11.4K]

Answer:

26.4ft²

Step-by-step explanation:

I first converted the centimeter values to feet

140Cm x 30.48 = 4.59

70cm x 30.48 = 2.3

the paper required is approximately equal to the area of the pyramid.

area of pyramid is equal to area of triangle + base²

Are of triangle = 1/2 x b xh

= 4 x 1/2 x4.59x2.3 + (2.3)²

= 2 x 4.59 x 2.3 + 5.29

= 26.4 feet²

therefore it will take 26.4 feet² paper to make each tree, including the bottom.

8 0

3 years ago

Type the correct answer in the box. Use numerals instead of words. Enter your answer as a fraction in simplest form, using/ for

castortr0y [4]

Answer:

1/4

Step-by-step explanation:

Since there is 4 colors and four rooms there is a 1/4 possibility that she paints the room green.

5 0

3 years ago

Plzz anwser ill give brainlest simplify 16- 8/15

Anton [14]

Answer:

232/15 [as an improper fraction] or 15 7/15 [as a mixed fraction]

Explanation:

16 - 8 / 15 =

(16) - (8 / 15) =

((16 × 15) / 15) - ((8) / 15) =

((240) / 15) - ((8) / 15) =

(240 - 8) / 15 =

232 / 15 =

15 7/15

7 0

2 years ago