Answer:
The new width = 2 inches
Step-by-step explanation:
Original dimensions of the rectangular photo:
Length : width = 8 inches : 4 inches
Reduced dimensions of the rectangular photo:
Let
x = the new width
Length : width = 4 inches : x inches
Equate both dimensions to get the value of x
Length : width
8 inches : 4 inches = 4 inches : x inches
8 / 4 = 4 / x
Cross product
8 * x = 4 * 4
8x = 16
x = 16/8
x = 2 inches
The new width = 2 inches
The amount of Federal Taxes that Curtis pays annually would be 1538.68.
Answer:
3.3
Step-by-step explanation:
Answer:
∠B=60°
Step-by-step explanation:
In this right traingle, using angle B, you have the opposite side which is 6√102, and the adjacent side which is 6√34. Using SOHCAHTOA this invlolves TOA so tangent B = OPPOSITE/ADJACENT or tan B = 6√102/6√34. Simplifying gives tan B=√3. You can use your calculator to solve for B by taking the inverse tangent of √3 or you can use the known trig ratios from the unit circle if you have already learned that to find that angle B is 60°
ANSWER
The solution is

<u>EXPLANATION</u>
We have

and

Let us substitute equation (1) in to equation (2). This gives us,

We rewrite this as a quadratic equation as the highest degree is 2.

This implies that

we factor to obtain,



This means,


We substitute this values into any of the above equations, preferably equation (1)
When,
, 
When,
, 
The solution is
