<h3>
Answer: 30 feet</h3>
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Explanation:
He has 90 feet of fencing overall. This is the perimeter of the rectangle as its the distance around all four sides.
Two of the opposite sides are the width = 15 ft. So we have 15+15 = 30 feet taken up and 90-30 = 60 feet left for the other two opposite sides to add to. Call each of those sides x
x+x = 60
2x = 60
x = 60/2
x = 30
The other side must be 30 feet long.
This rectangle is 30 by 15
perimeter = 30+15+30+15 = 45 + 45 = 90
which helps confirm we have the right answer
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Or you can solve this way
P = 2*(L+W) is the perimeter of a rectangle with length L and width W
Plug in the perimeter P = 90 and the width W = 15. Solve for L
P = 2*(L+W)
90 = 2*(L+15)
2(L+15) = 90
L+15 = 90/2
L+15 = 45
L = 45-15
L = 30
-1 = z/3 - 7
Emily's Work:
-1 = z/3 - 7
-1(3)=z/3(3)-7
-3 = z - 7
-3 -7 = z - 7
z = -10
Right away without having to start at the beginning, I see that she has made a mistake at the 4th-5th line of work.
Instead of adding 7 to both sides, she subtracts it and still leaves it in and doesn't fully finish the equation, as it would really be z-7 = -10
In order to solve it, follow these steps:
Rewrite the initial equation as follows:
x/3 - 7 = -1
Multiply both sides by 3
x/3(3)-7(3)=-1(3)
x - 21 = -3
Add 21 to both sides
x = 18
Multiply All Of Them U Will Get The Answer Type The Exact Thing The Calculated Answer Says
Answer:
1) The value of 
is 12.
2) The length of the diagonal is 49.
Step-by-step explanation:
1) If the glass is a rectangle, then both diagonal must have the same length, that is, the following equation must be solved:
(1)
We need some algebraic handling to determine the value of :
![[5+(-2)] \cdot x = 36](https://tex.z-dn.net/?f=%5B5%2B%28-2%29%5D%20%5Ccdot%20x%20%3D%2036)
The value of is 12.
2) If we know that , then the length of the diagonal (
) is:
The length of the diagonal is 49.
Answer:
Sin of x does not change
Step-by-step explanation:
Whenever a triangle is dilated, the angle remains the same as well as the ratio for sides of triangle. For smshapes with dimensions, when shapes are dilated the dimensions has increment with common factor.
From trigonometry,
Sin(x)=opposite/hypotenose
Where x=4/5
Sin(4/5)= opposite/hypotenose
But we were given the scale factor of 2 which means the dilation is to two times big.
Then we have
Sin(x)=(2×opposite)/(2×hypotenose)
Then,if we divide by 2 the numerator and denominator we still have
Sin(x)=opposite/hypotenose
Which means the two in numerator and denominator is cancelled out.
Then we still have the same sin of x. as sin(4/5)
Hence,Sin of x does not change
