9514 1404 393
Answer:
38 square inches
Step-by-step explanation:
The figure is a quadrilateral with one pair of parallel sides. That means it is a trapezoid, so the area formula for a trapezoid is applicable.
A = (1/2)(b1 +b2)h
The two parallel bases are 7 in and 12 in. The height is the perpendicular distance between them, 4 in. So, the area is ...
A = (1/2)(7 in +12 in)(4 in) = (1/2)(19 in)(4 in)
A = 38 in²
The area of the trapezoid is 38 square inches.
Answer:
x = 42º
Step-by-step explanation:
We know that m < UVY is equal to 84º (Given)
We know that < UVY = < SVW (Vertical Angles Theorem)
By substituting in the known values for the anges, we know that:
< UVY = < SVW
84º = 2x
Simplify the equation by dividing by 2 on both sides.
x = 42º
Hope this helps! Let me know if you have any questions!
0.7 is 10 times as much as 0.70
Answer:
$9,840
Step-by-step explanation:
Let the money earned from college be 'x'.
Given:
Total money earned from the two jobs = $50,450
Money earned at the store = 1250 + 4(Money earned at college)
∴ Money earned at the store = 
Now, total money earned by Erica is the sum of money earned at store and college. Therefore,
Total money = Money at store + Money at college
Therefore, the money earned by Erica from her job at the college is $9,840.
The zeros of the function f(x) = x^3 + 3x^2 + 2x are x = 0, x = -1 and x = -2
<h3>How to determine the zeros of the function?</h3>
The function is given as:
f(x) = x^3 + 3x^2 + 2x
Factor out x in the above function
f(x) = x(x^2 + 3x + 2)
Set the function to 0
x(x^2 + 3x + 2) = 0
Factorize the expression in the bracket
x(x + 1)(x + 2) = 0
Split the expression
x = 0, x + 1 = 0 and x + 2 = 0
Solve for x
x = 0, x = -1 and x = -2
Hence, the zeros of the function f(x) = x^3 + 3x^2 + 2x are x = 0, x = -1 and x = -2
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