the first option is the answer
Step-by-step explanation:
4c + 6a <= 120 [building hours]
4c + 4a <= 100 [testing hours]
4 * 20 + 6 * 6 <= 120
80 + 36 <= 120
116 <= 120
true, they have enough building hours
4 * 20 + 4 * 6 <= 100
80 + 24 <= 100
104 <= 100
false, they won't have enough testing hours
the first option is the answer
Answer:
SAS,
Step-by-step explanation:
2 sides and the included angle.
Answer:
B. 100 pi units squared
Step-by-step explanation:
Find the surface area of a sphere with radius 5 using the formula SA=4pir²
Leave answer in terms of π = pi
From the question
The formula for the Surface Area if a square = 4 × pi × r²
r = 5
Hence,
Surface Area of a Sphere = 4 × pi × 5²
= 100 pi units squared
Option B is the correct option
Answer:
$24,800
Step-by-step explanation:
If a car is worth 8% less after one year, then it is worth 92% of the original value.
original value = x
after 1 year: 0.92x
after 2 years: 0.92(0.92x)
after 3 years: 0.92(0.92(0.92x))
0.92³x = $19,311.46
x = $19,311.46/0.92³
x = $24,800
Answer:
Option A. 3.5x + 15 ≥ 55
Step-by-step explanation:
Points Rosh received for becoming a member = 15
Points Rosh received for visiting the moving theater = 3.5
Total points needed for a free movie ticket = 55
For each visit he receives 3.5 points, so for x visits he will receive 3.5x points.
Total points = Points received on becoming a member + Points received on x visits
So,
Total Points = 15 + 3.5x
These points must be at least 55 for a free movie ticket. At least means equal to or greater than. So the total points must be equal to or greater than 55 in order to earn a free movie ticket. This can be expressed as:
3.5x + 15 ≥ 55
So, option A gives the correct answer
