54/4.5 = 12
Set it up as long division, with 54 "inside" the division sign and 4.5 outside. Then you have to move the decimal on 4.5 to the right once, which will give you 45 on the outside. You also have to move the decimal over 1 more place on the 54, which will give you 540 on the inside. Then figure out how many times 45 can go into 54, which is once. Then subtract 45 from 54, which will give you 9. Then you are left with 90 on the inside and 45 goes into that 2 times.
Answer:
<em>The rock is 52.2 feet high</em>
Step-by-step explanation:
<u>Similar Triangles
</u>
The triangle formed by the rock, mirror and the ground is similar to the triangle formed by Carlos, the mirror and the ground (see image below). This means its sides are proportional, and
We want to calculate the height of the rock, thus we solve for H
Relation 1 is a function because we don't have any repeated x values. Each input goes to exactly one output.
On the other hand, relation 2 is <u>not</u> a function because x = 4 repeats itself. The input x = 4 leads to more than one output.
Answer:
30°
Step-by-step explanation:
∠A + ∠B + ∠C = 180
∠B = ∠A + 20
∠C = 2 * ∠B
<A + (∠A + 20) + (2 * ∠B) = 180
<A + (∠A + 20) + (2 * (∠A + 20)) = 180
<A + (∠A + 20) + 2∠A + 40 = 180
4∠A + 60 = 180
4∠A = 120
∠A = 30