A wall is in the shape of a trapezoid and it can be divided into a rectangle and a triangle. A triangle is with angles 45°- 45° - 90°. The hypotenuse of that triangle is 13√2 ft.Using the 45° - 45° - 90° theorem, sides of that triangle are in the proportion:x : x : x√2, and since that x√2 = 13√2 ( hypotenuse ), x = 13.Therefore h = 13 ft.We can check it: c² = 13² + 13²,c² = 169 + 169c² = 338c = √ 338 = 13√2Answer: h = 13 ft
8x-10=3x+90
5x=100
X=20
B=3(20)+90=150
Answer: 30
Step-by-step explanation:
Given :The weight of a bag of golf balls varies directly as the number of golf balls in the bag.
Let x be the number of golf balls in a bag that weighs 1,110 grams.
Then we have the following direct variation equation,
Multiply 1110 both sides , we get
Hence, there are 30 balls in the bag.
Answer:
-3.6
Step-by-step explanation:
When plugged into a calculator, the answer turns out to be -3.6, which is a decimal.
Answer:
72
Step-by-step explanation:
We are assuming that all girls in the group bought the same number of items.
Therefore, we need to find the highest common factor of 72, 144 and 216.
HCF
72 = 2 * 2 * 2 * 3 * 3
144 = 2 * 2 * 2 * 2 * 3 * 3
216 = 2 * 2 * 2 * 3 * 3 * 3
The product of the emboldened numbers is the highest common factor.
That is:
2 * 2 * 2 * 3 * 3 = 72
Therefore, the largest possible number of girls in the group is 72.
