Lynn is having a party. Pizzas cost $8.00 each. How many pizzas can she buy with $60.00

Paula leaned a 10 ft ladder against a building as shown below. if Paula wants the top of the ladder to reac

amm1812

The distance between the building and the base of the ladder is 5√3 feet.

Step-by-step explanation:

Consider a right angle triangle,

Hypotenuse = Paula leaned a 10 ft ladder against a building.
Height = the top of the ladder is exactly 5 feet up in the building.
Base = 'x' ft, distance between the building and the base of the ladder.

From the Pythagorean theorem,

Base, x = $\sqrt{hypotenuse^{2}-height^{2} }$

⇒ x = $\sqrt{10^{2} -5^{2} }$

⇒ x = $\sqrt{100-25}$

⇒ x = $\sqrt{75}$

⇒ x = 5√3

The distance between the building and the base of the ladder is 5√3 feet.

7 0

3 years ago

Select the multiplication sentence that applies the commutative property of multiplication to the example.

Whitepunk [10]

Answer : A

Example: 5 × 8 = 40

A. 8 × 5 = 40

the commutative property of multiplication allows us to multiply the numbers in any order without changing the product. In example we have 5 * 8 . When we change the order it becomes 8 * 5. So here applies commutative property of multiplication.

B. 10 × 4 = 40

the commutative property of multiplication allows us to multiply the numbers in any order without changing the product. In example we have 5 * 8 . When we change the order it becomes 8 * 5. So here it does not applies commutative property of multiplication.

C. 20 × 2 = 40

the commutative property of multiplication allows us to multiply the numbers in any order without changing the product. In example we have 5 * 8 . When we change the order it becomes 8 * 5. So here it does not applies commutative property of multiplication.

6 0

2 years ago

There are two exterior angles at each vertex of a triangle, and these angle measures always add to 180°.

Annette [7]

I think it has to be true

4 0

2 years ago

What is 154 multiplied by 754

Anastasy [175]

Answer:

116116

Step-by-step explanation: