Answer:
5 units
Step-by-step explanation:
Image of the trapezoid is attached.
To find the height of the trapezoid (image attached), let's take the formula for area of a trapezoid.
The formula for area of a trapezoid is:
Here, a and b represents the bases of the trapezoid.
a = 6
b = 10
h which represents height is unknown.
A = 40
Substitute figures:
Solve for h:
The height of the trapezoid is 5 units
Answer:
domain will be ( -∞, ∞)
Step-by-step explanation:
The given functions are f(x) = x² - 1 and g(x) = 2x - 3
We have to find domain of (fog)(x)
We will find the function (fg)(x) first.
(fog)(x) = f[g(x)]
= (2x - 3)²
= 4x² + 9 - 12x - 1
= 4x² - 12x + 8
= 4 (x² - 3x + 2)
The given function is defined for all values of x.
Therefore, domain will be ( -∞, ∞)
<u>brainly.com/question/2458431</u>
Answer:
6/-12 = -1/2
Step-by-step explanation:
do you want an explanation?
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Answer:
Area = 245m^2
Step-by-step explanation:
We can split this figure into 2 parts, a rectangle and a trapezoid.
Rectangle Sides = 10m and 20m
Area = 10m x 20m = 200m
Trapezoid formula = a+b/2(h)
a and b are the 2 bases and h is the height
Using a little deductive reasoning we get the following, 5+10/2(6)
This simplifies to 15/2(6) -->
7.5(6) = 45
Thus, our area is 200 + 45, or 245m^2
Given that the amount invested was compounded annually, the total value of the investment after 5 years will be:
FV=P(1+r/100)^n
where:
FV=future value
p=principle
r=rate
n=time
hence
FV=5000(1+3.2/100)^5
FV=$5,852.865
