Answer:
Short leg = 24inches
Long leg = 32inches
Hypotenuse = 40inches
Step-by-step explanation:
Given:
- shorter leg is 8inches shorter than the longer leg
- hypotenuse is 8inches longer than the longer leg
- longer leg = x inches
<u>Pythagorean Theorem:</u>
a²+b²=c² → (x-8)²+ x² = (x+8)²
Solving for both sides:
x² - 16x+ 64 + x² = x²+ 16x + 64
<u>More Painful Solving:</u>
x² - 32x = 0
x(x-32) = 0
x=0 or 32
Can't use the 0 so we trash it!
x=32
add 8 to get the hypotenuse and subtract 8 to get the short leg
27.5 Is the answer of the increased price
The base angles are both equal to (180-70) / 2 = 55 degrees
and 1/2 base = 123
so we have tan 55 = a / 123 where a = altitude
a = 123 * tan55 = 175.66
Answer:
Step-by-step explanation:
Cross multiply the proportion:
Solve for x:
<span>Find
the number of bluejays bird and robins birds as joan counted it
=> the number of Robins is twice as bluejay
=> Robins = 2X
=> The number of bluejay is about to know:
=> Bluejay = X
The total number of birds is 21.
=> 2X + X = 21
=> 3x = 21
=> 3x / 3 = 21 / 3
=> x = 7
Thus the number of bluejay is 7
=> Robin = 2(7)
=> Robin = 14
Thus the number of Robin is 14</span>
