Answer:
f(x) = -x + 3
Step-by-step explanation:
To flip it over the y-axis, just make all your x-values negative.
y(x) = x + 3
f(x) = y(-x) = (-x) + 3 = -x + 3
Answer: 349.6 gallons
Step-by-step explanation:
This is a simple proportion problems.
The flow rate = 87 . 4 gallons was dispensed in 15 minutes
That is 15 minutes = 87.4 gallons
Therefore 1 minute = ( 87.4/15 ) gallons
Recall 60 minutes = 1 hour
Now in 60 minute = (87.4/15 ×60/1 ) gallons
= 87.4 × 4
= 349.6 gallons
(Invariably) , Alternative method
15 minutes. = 1/4 of an hour 1/4 = 87 .4 gallons. A gallon. = 87.4/1/4
Recall that reciprocal of 1/4 = 4
Now = 87 .4/1/4
=87.4 × 4
Therefore 1 hour = 87.4 × 4 × 1
= 349 . 6 gallons
Answer:
9π units²
Step-by-step explanation:
To obtain an exact answer, use π, not an approximation such as 3.14.
A = πr² is the appropriate formula.
Here,
A = (3)^2·π units², or 9π units²
Answer:
1. 45
2. 24
3. 32
Step-by-step explanation:
One
Ashley= 3/4 * Steve
Ashley= 3/4 * 60
Ashley = 180/4
Ashley = 45
Two
60% of 40
60/100 * 40
2400/100 = 24
Three
40% 80 = 40/100 * 80 = 3200 / 100 = 32
Tan(29°) = opposite/adjacent = AC/CB ⇒
CB = AC/tan(29°) = 20/0.5543 ≈ 36.08
sin(29°) = opposite/hypotenuse = AC/AB ⇒
AB = AC/sin(29°) = 20/0.4848 ≈ 41.25
∠A = 180 - ∠B - ∠С = 180 - 29 - 90 = 61°
