Answer:
Length of truck = 160 +7% of 160 = 160 +11.2 = 171.2inches
Answer: Choice B
Building A; it is around 50.34 feet taller than building B
======================================================
Explanation:
Draw two right triangles such that they both have a reference angle of 40 degrees. Since it's an angle of elevation, place the angle near the horizontal side.
Opposite each reference angle is the height of the building, which we'll call h.
The adjacent side is the horizontal distance from the person to the building.
Building A is 120 ft away so it's height is...
tan(angle) = opposite/adjacent
tan(40) = h/120
h = 120*tan(40)
h = 100.69
This value is approximate. Make sure your calculator is in degree mode.
-----------------
Repeat the same idea for building B, except the adjacent side is smaller this time.
tan(angle) = opposite/adjacent
tan(40) = h/60
h = 60*tan(40)
h = 50.35
This value is approximate.
-----------------
Now subtract the heights
100.69 - 50.35 = 50.34
This shows that building A is roughly 50.34 taller than building B.
Answer:
- commutative property
- distributive property
Step-by-step explanation:
The expression
4.7x + 10.4 + 15.3x − 8.4x + 15.6
can be simplified in a few stages. First of all, we use the commutative property of addition to swap terms 2 and 3.
4.7x +15.3x +10.4 -8.4x +15.6
Next, we use the distributive property to factor x from the first two terms.
(4.7 +15.3)x +10.4 -8.4x +15.6
Now we perform addition.
20x +10.4 -8.4x +15.6 . . . . . . . . equivalent expression
Answer:
A.f(x)
Step-by-step explanation:
Sup dude it's been a while since khelcee talked to us.
Answer: 72
Step-by-step explanation:
From the question, we are informed that a disc jockey can play 7 records and that there are 9 records to select from for a particular segment of a radio show.
The number of ways that the program for the segment be arranged will be:
= 9! / 7!
= (9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / (7 × 6 × 5 × 4 × 3 × 2 × 1)
= 9 × 8
= 72
