Start off by using the Pythagorean Theorem: a^2 + b^2 = c^2
12^2 + 35^2 = 37^2
144 + 1,225 = 1,369
1,369 = 1,369
If the left side equals the right side than it is a right triangle.
Your answer is: Yes
Have an amazing day and stay hopeful!
Answer:
<em>26 ft^2</em>
Step-by-step explanation:
Let us imagine a rectangle around this figure, provided a rectangle with dimensions 5 feet by 7 feet. If we were to subtract the non - shaded region in this rectangle from the rectangle's area itself, it would save as some time to solve for the area of the shaded region;
<em>Area of Outer Rectangle ⇒ 5 * 7 = 35 ft^2</em>,
Now this non - shaded region is composed of a triangle and a rectangle, the triangle having dimensions 3 by 2 feet, the rectangle being 2 by 3 feet consecutively;
<em>Area of triangle ⇒ 1/2 * base * height = 1/2 * 3 * 2 = 3 ft^2</em>,
<em>Area of rectangle ⇒ length * width = 2 * 3 = 6 ft^2</em>
Thus the area of the shaded region is: 35 - 3 - 6 = 26 ft^2;
<em>Answer: 26 ft^2</em>
Answer:
4w+56
Step-by-step explanation:
4(w) = 4w
4(14)= 56
4w+56
<u>Answer</u>:
The coordinates of point C' are (4, -2)
<u>here's</u> <u>why</u>:
When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y). So if we use this information with the problem, the original coordinates, (-4, -2), the new coordinates will be (4, -2).
Hope this helped.
Answer:
$5659.11
Step-by-step explanation:
We are given;
- Time of loan maturity is 5 years
- Rate of compound interest is 7% compounded quarterly
- Principal amount of the car is $4000
We are required to determine the total amount he paid at the end of 5 years..
The concept being tested is compound interest;
We are going to use the compound interest formula;
Amount = P(1+r/100)^n
Where P is the the principal amount
r is the rate of interest
n is the interest periods
In this case;
n = (5 × 4) = 20
r = 7 ÷ 4 = 1.75 ( as the money was compounded quarterly)
Thus;
Amount =$ 4000 ( 1 + 1.75)^20
= $4000 (1.0175)^20
= $5659.11
Therefore, the money that Joe will have paid at the end of 5 years is $5659.11
