Answer:
[7, -8)
Step-by-step explanation:
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Answer: 35 inches.
Step-by-step explanation:
We know that:
hypotenuse = 5*y in
cathetus 1 = (x + 8) in
cathetus 2 = (x + 3) in
The perimeter of the triangle is 76 inches, then:
5*y + (x + 8) + (x + 3) = 76
5*y + 2*x + 13 = 76
We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.
The shorter leg is x + 3, then:
5*y - (x + 3) = 17
Then we have the equations:
5*y + 2*x + 11 = 76
5*y - (x + 3) = 17
With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.
x = 5*y - 3 - 17 = 5*y - 20
x = 5*y - 20
Now we can replace this in the other equation, we get:
5*y + 2*x + 11 = 76
5*y + 2*(5*y - 20) + 11 = 76
15*y - 40 + 13 = 76
15*y - 29 = 76
15*y = 76 + 29 = 105
and remember that the hypotenuse is equal to 5*y, then we want to get:
3*(5*y) = 105
5*y = 105/3 = 35
5*y = 35
Then te length of the hypotenuse is 35 inches.
13 is 141. A octagon has 1080 degrees and if you add all the angles up you get 939 and 1080-930=141
Answer:
29.5 units^2
Step-by-step explanation:
Equation for area of a circle is πr^2 radius 5
The area of the circle is 25π sq units
The area of the square is 49 square units because all sides are 7 units long.
The shaded region is 25π - 49
78.5 - 49 = 29.5 units^2
2/3 of 52.20 =
3 into 52.20 =17.4
17.4 x 2 = 34.8
52.20 + 17.4 =69.6