Answer:
pi*r^2= Area
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let the height = h
Let the base = 4h + 7
Area of a triangle = 1/2 * b * h
Area = 93 square inches
1/2 * (4h + 7)* h = 93 Multiply both sides by 2
(4h + 7) * h = 93*2
(4h + 7)*h = 186 Remove the brackets
4h^2 + 7h = 186 Subtract 186 from both sides.
4h^2 + 7h - 186 = 0
Use the quadratic formula to solve
a = 4
b = 7
c = - 186
x1 = (-7 + sqrt(7^2 - 4*4*(-186) ) /2*4
x1 = (-7 + sqrt(49 - 16*(-186)) / 8
x1 = (-7 + sqrt(49 + 2976)) / 8
x1 = (-7 + sqrt(3025)) / 8
x1 = (-7 +55 ) / 8
x1 = (48)/8
x1 = 6
There is another root, but it has to be minus and therefore cannot be used as a length. x2 = - 7.75
h = 6
b = 4*6 + 7 = 31
Check
Area = 1/2 * b * h
Area = 1/2 * 31 * 6
Area = 1/2 *186
Area = 93 which is what we were given so the answer is correct.
25 kids in all
2xboys:3x girls
so the equation would be
2x+3x=25
solve,
5x=25
/5 /5
x=5
2x=10
3x=15
10 boys and 15 girls
Answer:
Let's simplify step-by-step.
14xy+3xy+2x(y−17)
=19xy−34x
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▹ Answer
<em>y = 15, -15</em>
▹ Step-by-Step Explanation
This is considered a 'square root' since we have to find y^2.
15 * 15 = 225
-15 * -15 = 225
Both of these values work for y, so the answer is 15, -15.
Hope this helps!
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