Pythagorean Theorem: a^2 + b^2 = c^2
-A and B are legs of the triangle
-C is the hypotenuse
#1.
6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
c = 10
#2.
5^2 + 12^2 = c^2
25 + 144 = c^2
169 = c^2
c = 13
#4.
10^2 + 4^2 = c^2
100 + 16 = c^2
116 = c^2
c = 
#5.
15^2 + 9^2 = c^2
225 + 81 = c^2
306 = c^2
c = 
#6.
120^2 + b^2 = 150^2
14400 + b^2 = 22500
b^2 = 8100
b = 90
#7.
144^2 + b^2 = 194^2
20736 + b^2 = 37636
b^2 = 16900
b = 130
Hope this helps!! :)
61,361 rounded to the nearest hundred = 61,400
Answer:
Step-by-step explanation:
The answer would be to find the LCM of both 3 and 5, which is 15. The 15th customer would receive both a mug and a t-shirt. Let's call mugs "x" and shirts "o" and line them up. The bold x's and o's are the lucky winners:
x x x x x x x x x x x x x x x
o o o o o o o o o o o o o o o
The last x and the last o are both bold for the first time right there, at the 15th letter of each.
Answer:
The garden is 9 feet wide and 26 feet long.
Step-by-step explanation:
L = W+17
area = LW = 234
(W+17)W = 234
W²+17W-234 = 0
Quadratic formula
W = [-17 ± √(17² – 4·1(-234))] / [2·1]
= [-17 ± √1225] / 2
= [-17 ± 35] /2
= -26, 9
-26 is an extraneous solution
W = 9
L = W+17 = 26
The garden is 9 feet wide and 26 feet long.
Answer:
the answer is 29
Step-by-step explanation:
a^2 + b^2 = c^2 (btw ^ means to the power)
a and b are the legs. c is the hypotenuse
21^2 + 20^2 = c^2
441 + 400 = 481
then we have to square it.
the square root of 481= 29.
btw the hypotenuse is always going to be bigger than the legs.
hope it helps!! btw it is right!
