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Nastasia [14]
2 years ago
6

Solve for x pls help

Mathematics
1 answer:
padilas [110]2 years ago
3 0

Answer:

x = 8

Step-by-step explanation:

10/(3x+1) = 22/(7x-1)   ---->set up proportion

10(7x-1) = 22(3x+1) ----> cross multiply

70x - 10 = 66x + 22  --------> distribute

4x = 32

x = 8

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When four times a number n is decreased by 3 it’s at most 21
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The number is = 6
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8 0
3 years ago
What is the area of the figure?
Orlov [11]

Answer:

  90 in²

Step-by-step explanation:

The figure's area is that of four right triangles, each with legs of 6 in and 7.5 in. The area of each triangle is half the product of the leg lengths, so is ...

  triangle area = (1/2)(6 in)(7.5 in)

Then the area of 4 of those triangles is ...

  figure area = 4 · triangle area = 2(6 in)(7.5 in) = 90 in²

8 0
3 years ago
Given: cos θ=-4/5, sin x = -12/13, θ is in the third quadrant, 
USPshnik [31]

By definition of tangent,

tan(2<em>θ</em>) = sin(2<em>θ</em>) / cos(2<em>θ</em>)

Recall the double angle identities:

sin(2<em>θ</em>) = 2 sin(<em>θ</em>) cos(<em>θ</em>)

cos(2<em>θ</em>) = cos²(<em>θ</em>) - sin²(<em>θ</em>) = 2 cos²(<em>θ</em>) - 1

where the latter equality follows from the Pythagorean identity, cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1. From this identity we can solve for the unknown value of sin(<em>θ</em>):

sin(<em>θ</em>) = ± √(1 - cos²(<em>θ</em>))

and the sign of sin(<em>θ</em>) is determined by the quadrant in which the angle terminates.

<em />

We're given that <em>θ</em> belongs to the third quadrant, for which both sin(<em>θ</em>) and cos(<em>θ</em>) are negative. So if cos(<em>θ</em>) = -4/5, we get

sin(<em>θ</em>) = - √(1 - (-4/5)²) = -3/5

Then

tan(2<em>θ</em>) = sin(2<em>θ</em>) / cos(2<em>θ</em>)

tan(2<em>θ</em>) = (2 sin(<em>θ</em>) cos(<em>θ</em>)) / (2 cos²(<em>θ</em>) - 1)

tan(2<em>θ</em>) = (2 (-3/5) (-4/5)) / (2 (-4/5)² - 1)

tan(2<em>θ</em>) = 24/7

4 0
3 years ago
It's said to say my question, but it's in the pic, so I don't know what to say. <br> But thanks
BARSIC [14]

Answer: A,  or 0.2x

Step-by-step explanation:

To figure how expressions and percent's match up, replace the x with an easy number. For example, I use 4.

20% of 4 is 0.8, and 4 x 0.2 is also 0.8

Therefore, the expression to represent that percentage is A.

Also, the other answers were WAYYY off.  

B,  or x - 20 is flawed since x could be anything.

C, is also flawed in the same way.

And D makes -76.

A is the only sensible one and is proven to work.

Hope this helped!

-Nick

3 0
2 years ago
Please answer this correctly
gayaneshka [121]

Answer:

13

Step-by-step explanation:

8 - (-5) = 13

Since x is the same in both points we only have to count the y

6 0
3 years ago
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