Answer:
The ladder can reach a height of 22.6 feet.
Step-by-step explanation:
In order to find the height that the ladder can reach, you need to use the Pythagorean Theorem. The Pythagorean Theorem assumes that the house to the ground will form a right triangle and the leaning ladder is the hypotenuse. Using the formula: a² + b² = c², we can plug in the values that we know and solve for the missing variable. In this case we know the base of the triangle 'b' and the hypotenuse 'c': a² + 8² = 24² or a² + 64 = 576. To solve for a, we must first subtract 64 from both sides: a² + 64 - 64 = 576 - 64 or a² = 512. In order to find just the value of 'a', which represents the height, we need to take the square root of both sides: √a² = √512 or a ≈ 22.6 feet.
Answer:
12.90
Step-by-step explanation:
The hundredth is the second decimal place.
Basically we want to drop the numbers after the 9.
12.89 <u>5</u>03
Use the underlined decimal place, right after what you are rounding to, to determine if you round up or down.
For numbers 0-4, round down (keep the number). For numbers 5-9, round up (increase by 1).
We need to round up because 5 is in the range 5-9.
"Add" 1 to the hundredth decimal place and treat it like addition:
. 12.89
<u>+ 0.01</u>
. 12.90
Answer:
b
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
= 
, substitute values
= 
( cross- multiply )
10(6x + 3) = 25(x + 11) ← distribute parenthesis on both sides
60x + 30 = 25x + 275 ( subtract 25x from both sides )
35x + 30 = 275 ( subtract 30 from both sides )
35x = 245 ( divide both sides by 35 )
x = 7
Then
KL = 6x + 3 = 6(7) + 3 = 42 + 3 = 45 → b
Answer: Choice B
==========================================================
Work Shown:
This points us to answer choice B
