Answer:
P = 48 feet
A = 84 square feet
Step-by-step explanation:
use the Pythagorean Theorem 2 times to find the bases of the two triangles created by the height of eight
1st Δ : one leg is 8 and the hypotenuse is 10
a² + 8² = 10²
a² + 64 = 100
a² = 36
a = 6
2nd Δ : one leg is 8 and the hypotenuse is 17
b² + 8² = 17²
b² + 64 = 289
b² = 225
b = 15
Perimeter = 10 + 17 + 6 + 15 = 48 ft
Area = 1/2(8)(6 + 15) = 4(21) = 84 sq ft
The answer to your question is -19
The area is the product of length and width.
.. area = length * width
.. 61 5/8 = (7 +7 1/2) * width
.. (61 5/8)/(14 1/2) = width = 4 1/4 . . . . feet
The plywood was 4 feet 3 inches wide.
_____
A calculator that works with fractions figures this nicely. By hand, you might compute it as
.. 61 5/8 = (8*61 +5)/8 = 493/8
.. 14 1/2 = (2*14 +1)/2 = 29/2
.. (61 5/8)/(14 1/2) = (493/8)/(29/2) = (493/8)*(2/29) = 493/(4*29) = 493/116
.. 493/116 = 4 +29/116 = 4 +29/(4*29) = 4 1/4
Answer:
Step-by-step explanation:
Multiplying bases with exponents means you have to multiply the base and add the exponent. So:
(10⁴)(5²) = 50⁶
(10³)(5³) = 50⁶
Now the equation is (50⁶/50⁶)³
Anything divided by itself will be one, so the number inside the parentheses is 1.
Now the equation is 1³, and 1x1x1 is 1.
K=-2J+24 is your answer, Sorry if its late :)