Answer:
11/12
Step-by-step explanation:
We need to get a common denominator of 12
2/3 *4/4 = 8/12
1/4 *3/3 = 3/12
2/3 +1/4
8/12+3/12
11/12
Answer:
<h3>324 ft²</h3>
Step-by-step explanation:
We have the triangle and the rectangle.
The formula of an area of a triangle:

b - base
h - height
The formula of an area of a rectangle:

l - length
w - width
We have b = 24 ft, h = 7 ft, l = 24 ft and w = 10 ft.
Substitute:


The area of the figure:

Substitute:

Answer:
34.63
Step-by-step explanation:
A=a2+2aa2
4+h2=32+2·3·32
4+42≈34.63201
Answer:
88.02 ft/s
Step-by-step explanation:
Angle with the horizontal, θ =25°
Initial velocity, v = 60 mph
1 mph = 1.467 ft/s
60 mph = 60 × 1.467 ft/s = 88.02 ft/s
Vertical component, v sin θ = 88.02 sin 25° = 37.2 ft/s
Horizontal component, v cos θ = 88.02 cos 25°= 79.8 ft/s
Answer:
19.9 miles
Step-by-step explanation:
In this problem we have:
is the distance travelled during the 1st day
is the distance travelled during the 2nd day
is the distance travelled during the 3rd day
is the distance travelled during the 4th day
We notice that the difference between the distance travelled on the (n+1)-th day and the distance travelled on the n-th day doubles every day. In fact:

Which can be rewritten using the general formula:

This means that

By applying this formula recursively, we can find the 7th term, which is the distance travelled on the 7th day:

So, the distance travelled on the 7th day is 19.9 miles.