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dedylja [7]
3 years ago
5

Analyze the diagram below and complete the instructions that follow.

Mathematics
1 answer:
Sladkaya [172]3 years ago
8 0
The large triangle is isosceles, so that the two smaller triangles that appear inside the large one have bases of 12/2, or 6.

Let's see how x and y are related:

sin 60 degrees = opp/hyp = x/y = sqrt(3) / 2

and  cos 60 degrees = adj/hyp = 1/2 = 6 / y.  Then y = 12 (which should be no surprise, since the large triangle is equilateral).  

Then:  x/y = sqrt(3) / 2, or

 x        sqrt(3)       x
---- = ----------- = ------ , so that 2x = 12sqrt(3), or x=6sqrt(3).
  y           2           12

In summary, 
x = 6√3
y=12
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What is the answer 2(4y+1)=3y
SCORPION-xisa [38]
2(4y+1) = 3y. We need to solve for y.
First let's get ride of the parenthesis by developing 2(4y+1). This means to multiply 2 by 4y and 2 by 1, and add them.
2(4y+1) = 2*4y + 2*1 = 8y + 2
So 2(4y+1)=3y
8y+2 = 3y
Then you subtract 8y from each side to have the variables on a side and the numbers on the other:
3y - 8y = 8y + 2 - 8y
-5y = 2
Then you divide each side by -5 to get the variable y alone on a side and its value on the other:
(-5y)/-5 = 2/-5
y = -2/5

You can re-check your answer (very important):
2(4y + 1) = 2(4*-2/5 + 1) = -1.2
3y = 3 * -2/5 = -1.2
So 2(4y+1)=3y= -1.2
The answer has been approved.

Hope this Helps! :)
4 0
3 years ago
8. Phil received a commission of 5% on
faltersainse [42]

Answer:

$95,600

Step-by-step explanation:

the question can be rephrased as '4780 is five percent of what number'?

we can use the ratio of 'is/over' = %/100 to solve

'is' = 4780

'of' = selling price of house ('p')

4780/p = 5/100

now cross-multiply:

5p = 478000

p = 95600

4 0
2 years ago
Number 28 ignore the bubbled in answer
Ghella [55]

Answer:

y = -7x+34

Step-by-step explanation:

We have 2 points, so we can find the slope

m = (y2-y1)/(x2-x1)

    = (6--1)/(4-5)

    = (6+1)/(4-5)

     = 7/-1

    = -7

We can use point slope form to make an equation

y-y1 = m(x-x1)

y--1 = -7(x-5)

y+1 = -7(x-5)

Distribute

y+1 = -7x+35

Subtract 1 from each side

y+1-1 = -7x+35-1

y = -7x+34

3 0
3 years ago
Find the percent change to the nearest whole percent. from 45 feet to 95 feet.
VMariaS [17]

Answer:

211%

Step-by-step explanation:

To calculate the percentage change between these two numbers we need to divide the end result from the initial starting point. Once we do this we need to multiply the product by 100 to get the percentage value.

95 / 45 = 2.11111

2.11111 * 100 = 211.11%

Finally, we can see that the percentage change from 45 ft. to 95 ft. is 211.11%. If we round this to the nearest whole percent it would be a change of 211%

8 0
2 years ago
Find the 20th term of this sequence. -2,4,-8,16
Ivenika [448]

Answer:

1,048,576

Step-by-step explanation:

You should multiply it with -2 20 times

8 0
3 years ago
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