Answer:
The largest number =5 3/4
The smallest number =1 2/5
Required difference = 5 3/4 − 1 2/5 = 4 7/2
I could be very off. hope it helps somehow
Answer:
The sales tax is 2.8 and the total cost is 72.8.
Step-by-step explanation:
4% = 0.04
70.00 × 0.04 = 2.8
70 + 2.8 = 72.8
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
Answer:
4 hours
Step-by-step explanation:
For this, we can set up an equation
We can name the total number of hours x.
So the price for Shawns rentals would be as follows:
27.50x
and Darlas surf shop would be:
23.25x+17
Now, we put these into an equation.
We are trying to find for what number of x will the charges be equal, so we can make this equation:
27.50x=23.25x+17
Now we get the variables on one side, and the numerical values on the other.
We can do this by subtracting 23.25x from both sides. (What you do to one side you must do to the other to keep the equation equal.)
4.25x=17
Divide both sides by 4.25.
x=4
You would rent the equipment for 4 hours to make the charges equal.
225000=200000(1.03^t)
9/8=1.03^t
ln(9/8)=tln(1.03)
t=ln(9/8)/ln(1.03)
t=3.98
t=4 years
