Answer:
7.25cm
Step-by-step explanation:
Let the complete question be;
<em>Jill cuts a piece of cardboard in the shape of a trapezoid. The area of the is 43.5sp cm. If bases are 3.5cm and 8.5cm long, what is the height.</em>
<em />
Area of a trapezoid = 1/2(a+b)*h
a and b are the parallel sides (bases)
h is the height
Given
a = 3.5cm
b = 8.5cm
A = 43.5 sq.cm
Required
Height h
Substitute the given values into the expression
Area of a trapezoid = 1/2(a+b)*h
43.5 = 1/2(3.5+8.5)*h
43.5 = 1/2 * 12h
43.5 = 6h
h = 43.5/6
h = 7.25cm
Hence the height is 7.25cm
I know that just the answer is not enough. You need to understand why and how. So I will explaing the steps.
First you need to state the equation that represents the function.
Investment is $200 and interest rate is 5%, y is the amount of money after x periods.
Note that after 1 period the amount of money is 200 plus 5% interest, which is 200 + 5%(200) = 200 (1 +5%) = 200 (1 + 0.05) = 200 (1.05)
After 2 periods the amount is 200(1.05)*(1.05) = 200 (1.05)^2
After 3 periods the amount is 200 (1.05)^3
And now you can deduce that after x periods y = 200 (1.05)^x
You can then analyze the function to predict the shape and critical points of the graph.
The answers are based in the initial value and the increasing factor.
The initial value is when x = 0, which yields to y = 200 (1.05)^0 = 200*1 = 200
And the increasing factor is 1.05 because any value is the previos one times 1.05.
Then the answer is the first option. The initial value is 200 and the graph increases by a factor of 1.05 per 1 unit increase in time.
Answer:
28.08 inches
Step-by-step explanation:
Recall 1 foot = 12 inches
3 feet = 12 x 3 inches = 36 inches
78% of 3 feet
= 78/100 x 3 feet
= 78/100 x 36 inches
= 28.08 inches
Answer:
60 meters
Step-by-step explanation:
Mrs. Kemp would have to walk 5 meters to the right to be 12 meters in front of Wesley. She'd then have to walk 12 meters in order to meet Wesley. 12 multiplied by 5 is 60. Hope that makes sense
