Answer:
12.2
Step-by-step explanation:
use the Pythagorean theorem to determine the diagonal
9.9^2 + 7.2^2 = d^2
d = 12.2
Answer:
c = -54
Step-by-step explanation:
Solve for c:
(7 c)/8 - 3 (c/8 - 7) = -6
Put each term in c/8 - 7 over the common denominator 8: c/8 - 7 = c/8 - 56/8:
(7 c)/8 - 3 c/8 - 56/8 = -6
c/8 - 56/8 = (c - 56)/8:
(7 c)/8 - 3(c - 56)/8 = -6
(7 c)/8 - (3 (c - 56))/8 = (7 c - 3 (c - 56))/8:
(7 c - 3 (c - 56))/8 = -6
-3 (c - 56) = 168 - 3 c:
(7 c + 168 - 3 c)/8 = -6
7 c - 3 c = 4 c:
(4 c + 168)/8 = -6
Multiply both sides of (4 c + 168)/8 = -6 by 8:
(8 (4 c + 168))/8 = -6×8
(8 (4 c + 168))/8 = 8/8×(4 c + 168) = 4 c + 168:
4 c + 168 = -6×8
8 (-6) = -48:
4 c + 168 = -48
Subtract 168 from both sides:
4 c + (168 - 168) = -168 - 48
168 - 168 = 0:
4 c = -168 - 48
-168 - 48 = -216:
4 c = -216
Divide both sides of 4 c = -216 by 4:
(4 c)/4 = (-216)/4
4/4 = 1:
c = (-216)/4
The gcd of -216 and 4 is 4, so (-216)/4 = (4 (-54))/(4×1) = 4/4×-54 = -54:
Answer: c = -54
Answer:
63°
Step-by-step explanation:
Glad to help
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Answer:
The Answer is:
Step-by-step explanation:
First, find the 20% that he must pay:
$3,500 * .20 = $700.
The remaining balance is:
$3,500 - $700 = $2,800
He already paid $1,000 of his deductible of $2,000. He has $1,000 left to pay.
Add that to the $700 to get:
$1,000 + $700 = $1,700 out of pocket.
Answer:
B= 15 cm²
Step-by-step explanation:
The base of the triangular shaped wedge of cheese is a right-triangle.To find the area of a right-triangle you apply the formula for half base by height.
A=1/2*b*h = base area = B
In this case, assume the sides of the triangle given are; a=5 cm and b=6 cm, thus area will be 1/2*6*5 =15 cm²
B= 15 cm²
