Answer:
The actual building will be 7.5 m tall
Step-by-step explanation:
Given the scale model value of the building, we want to find the actual height of the building
From the scale model;
1 cm = 0.5m
Thus 15 cm will be 15 * 0.5 = 7.5 m
We take GCF by factoring out the algebraic expression.
2x³ + 4x is factored out into 2x(x² + 2) and
−5x² − 10 is factored out into −5(x² + 2)
Therefore the common binomial factor is x² + 2
Answer:
$1,630
Step-by-step explanation:
Assistant 2 hours: 80-40-25 = 15
YOU: 22 x 40 = $880
ASSISTANT 1: 15 x 25 = $375
ASSISTANT 2: 10 x 15 = $150
880+375+150 = $1,630
Answer:
Option C is correct.
Ratio of longer leg to hypotenuse is; 
Step-by-step explanation:
This is the special right angle triangle 30°-60°-90° as shown below in the figure.
- The side opposite the 30° angle is always the shortest because 30 degrees is the smallest angle.
- The side opposite the 60° angle will be the longer leg, because 60 degrees is the mid-sized degree angle in this triangle.
- Finally , the side opposite the 90° angle will always be the largest side(Hypotenuse) because 90 degrees is the largest angle.
In 30°−60°−90° right triangle,
- the length of the hypotenuse is twice the length of the shorter leg,also
- the length of the longer leg is
times the length of the shorter leg.
Then:
the sides are in proportion i.e, 
Therefore, the ratio of the length of the longer leg to the length of its hypotenuse is: 