Answer: $54.35
Step-by-step explanation:
If each one of the 15 students raises the same amount, let's define this amount by the variable X, then the total amount they will collect is 15 times X, or:
15*X
And the minimum amount they need to collect is $800
Then we will have the inequality:
15*X ≥ $800
Now we can divide both sides by 15 to get the minimum amount that each student needs to raise:
(15*X)/15 ≥ $800/15
X ≥ $54.33...
Where we should round up the right number to $54.35, because we can not have a $0.0333... and if we round down, they would collect less than $800.
Then the inequality is:
X ≥ $54.35
This means that the minimum amount that each one of the 15 students needs to collect is $54.35
375L-240L=135L
135÷0.6=81
The pump must work for 81 min or 1hr and 21 min until the tank reaches 240L
The ratio of cats to dogs at the animal shelter is 3:4.
There are a total of 24 dogs at the animal shelter.
How many cats are at the animal shelter?
Number of cats is 24/4 x 3 = 18
Answer:
Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached below;
According to the first triangle, taking 30° as the reference angle, the opposite side of the triangle will be 5 and the adjacent will be the unknown side "b"
According to SOH, CAH, TOA;
tanθ = opposite/adjacent (using TOA)
Given;
θ = 30°, opposite = 5 and adjacent = b
tan30° = 5/b
b = 5/tan30°
b = 5/(1/√3)
b = 5*√3/1
b = 5√3
According to the 45° triangle, the opposite side of the triangle will be d and the hypotenuse will be 7
Using SOH;
sinθ = opposite/hypotenuse
Given;
θ = 45°, opposite = d and adjacent = 7
sin45° = d/7
d = 7sin45°
d = 7(1/√2)
d = 7/√2
Rationalize 7/√2
= 7/√2*√2/√2
=7√2/2
Hence the value of d is 7√2/2
