Answer:
d. 94.25 in²
Step-by-step explanation:
The area of this composite figure is the sum of the areas of a semicircle and a triangle. Each of those areas can be found using the appropriate formula:
semicircle: A = (π/2)r²
triangle: A = 1/2bh
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<h3>semicircle</h3>
The semicircle has a radius equal to half its diameter. The radius is (10 in)/2 = 5 in. Its area is ...
A = (3.14/2)(5 in)² = 39.25 in²
<h3>triangle</h3>
The area of the triangle with base 11 in and height 10 in is ...
A = 1/2bh
A = 1/2(11 in)(10 in) = 55 in²
<h3>total area</h3>
The area of the figure is the sum of the areas of the semicircle and triangle, so is ...
figure area = (39.25 in²) +(55 in²)
figure area = 94.25 in²
Answer:
James still owes 1,261 dollars after 12 months
Step-by-step explanation:
<u>Second attempt :P</u>
James currently has 215 dollars, every month for 12 months, he deposits 45 dollars into his account
215 + 12 x 45
215 + 540 =755
Now we know how much money James will have after 12 months, we need to find out how much he will owe.
James has to pay 168 per month for 12 months
168 x 12 = 2016
After 12 months the total amount James owes will be 2,016 dollars.
He makes 755 for the whole 12 months
2,016 - 755 = 1,261
James still owes 1,261 dollars after 12 months
Answer:
45x^3 + 123x^2 + 104x + 28
=(45x^3 + 60x^2 + 20x) + (63x^2 + 84x + 28)
=5x(9x^2 + 12x + 4) + 7(9x^2 + 12x + 4)
=(5x + 7)(9x^2 + 12x + 4)
=(5x + 7)(3x + 2)^2
=> Option D is correct
Hope this helps!
:)
Answer:
C: The graph is not a function of x because the line y = 0 intersects the graph at two points.
Step-by-step explanation:
The line y = 0 will intersect the ellipse at the points, (-4 , 0) , (4 , 0)