Answer:
27 inches
Step-by-step explanation:
We are using the Pythagorean theorem
a^2 +b^2 = c^2 where c is the hypotenuse
We are given the diagonal, which is the hypotenuse and a leg
36^2 + b^2 = 45^2
Subtract 36^2 from each side
36^2 + b^2 - 36^2 = 45^2 - 36^2
b^2 = 45^2 - 36^2
b^2 =2025-1296
b^2 =729
Take the square root of each side
sqrt(b^2) = sqrt(729)
b =27
Answer:
20 feet
Step-by-step explanation:
Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree's shadow is 32 feet long. What is the height of the tree?
We solve this using proportion of
Height/ Shadow
= 5/8 = x/32
Cross Multiply
8x = 5 × 32
x = 5 × 32/8
x = 20 feet
The height of the tree is 20 feet
Answer:
21 adults and 139 children
Step-by-step explanation:
x=adult (8$)
y=child (5$)
8x + 5y =863
x+y=160
-x -x (subtract x on both sides)
y= -x + 160
plug that in for y on the other equation
8x + 5(-x + 160) =863
distribute 5 to both
8x + -5x + 800 = 863
combine both x values
3x + 800 = 863
-800 -800 (subtract on both sides)
3x = 63
divide by 3 on both sides
x = 21 adults
now plug x in one of the equations
21 + y = 160
-21 -21
y=139 children
The answer is b)04 I did this on my test and got it correct
Answer: I don't know if you wanted me to solve for C or F. But, I Solved for both.
Step-by-step explanation:
<u>Solved for F </u>
<u>Solved for C</u>