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Sveta_85 [38]
2 years ago
14

ILIO

Mathematics
1 answer:
iris [78.8K]2 years ago
3 0

Answer:

a. sine

Step-by-step explanation:

As it can be seen from the figure, triangle ABC is the right-angled triangle with Angle C is equal to 90 degree.

In a right-angled triangle, there is a formula as following:

<em>+) sine (an acute angle) = (length of its opposite side)/ hypotenuse</em>

In the figure, angle B and length of the hypotenuse are given.

As x is the length of AC and AC is the opposite side to angle B

=> So that we can use sine to find x

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Given the points (9,9) and (-6, -10) find the slope.<br><br> m =
Ivanshal [37]

1. Observe question

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madreJ [45]

Answer:

2. n = 11

4. g = -2

6. t = 21

8. n = 4

10. y = -1

Step-by-step explanation:

2. 63  = -3(1 - 2n)

Dividing both the side by negative 3 we get

-21=1-2n\\2n=1+21\\2n=22\\n=\frac{22}{2} \\\therefore n=11

4. -g + 2(3 + g) = -4(g + 1)

First we will open the bracket by distributive property A( B +C) = AB + AC

-g+2\times 3 + 2\times g = -4\times g + -4\times 1\\-g+6+ 2g=-4g-4\\\textrm{we will take all the g term the left side and the constant to the right side}\\4g-g+2g=-6-4\\5g=-10\\g=\frac{-10}{5}\\\therefore g=-2

6.-3(t +5 ) + (4t + 2) = 8

Using distributive property A( B +C) = AB + AC we get

-3\times t + -3\times 5 + 4t + 2=8\\-3t-15+ 4t + 2=8\\t=8+15-2\\t=21\\\therefore t=21\\

8. -8 - n = -3(2n -4)

Using distributive property A( B +C) = AB + AC we get

-8 - n = -3\times 2n - -3\times4\\-8-n=-6n+12\\\textrm{all the n terms to the left inside and the constant of the right-hand side}\\6n-n=8+12\\5n=20\\n=\frac{20}{5}\\ \therefore n= 4

10. -4( 2 - y) + 3y = 3(y - 4)

Using distributive property A( B +C) = AB + AC we get

-4\times 2 --4\times y + 3y = 3\times y -3\times 4\\-8+4y+3y =3y-12\\\textrm{all the y terms to the left side and the constant to the right side}\\4y+3y-3y=-12+8\\4y=-4\\y=\frac{-4}{4}\\ \therefore y=-1

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