Answer:
Pears: 30
Step-by-step explanation:
Constant:
3x + 5x + 2x = 150
10x = 150
x = 15
Multiply ratio with constant from above:
oranges : apples
3 * 15 : 5 * 15
45 : 75 ==> 45 oranges: 75 apples
pears : apples
2 * 15 : 5 * 15
30 : 75 ==> 30 pears: 75 apples
Check:
45 oranges + 75 apples + 30 pears = 150 fruits
General formula for circles at the origin is x^2+y^2=R^2 where R is the radius.So R^2=4225. Solve for R.
A leg of a right triangle can never be greater then the hypotenuse
this formula will tell you if it's a valid right triangle
the first two question marks are the legs of the triangle while the one after the = is the hypotenuse.
THE STEPS:
ANSWER:
Answer:
The height of triangle EFG is 9 units
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the area of a square ABCD
The area of a square is equal to
where
b is the length side of the square
we have
substitute
step 2
Find the height of triangle EFG
The area of triangle EFG is equal to
where
b is the base of triangle
h is the height of triangle
we have
---> area of triangle EFG is the same that the area of square ABCD
substitute the given values in the formula
solve for h
therefore
The height of triangle EFG is 9 units