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:
At least 13 chocolates must be removed
Step-by-step explanation:
If there are three flavors, the probability of drawing 1 would be: 1
1/3 = 0.333
Which means, that every 3 attempts, theoretically you should do 1 of each, but how they ask for 5 chocolates of each would be:
3 * 5 = 15
At least 15 chocolates must be extracted to theoretically guarantee 5 chocolates each, but how we are interested in knowing is that a single flavor has 5 chocolates, so we discard the last two chocolates that represent the other two flavors
Therefore, for there to be safely 5 chocolates of the same flavor, at least 13 chocolates must be removed.
Answer:4 dozens of video games would cost $1956
Step-by-step explanation:
An electronic store prices 3 dozen video games at a total of 1467. A dozen of video games is 12. Therefore, the total number of video games whose cost is 1467 is 12 × 3 = 36
if each video game costs the same amount, then the cost of one video game would be
1467/36 = $40.75
The total number of video games in 4 dozens of video game would be
4 × 12 = 48
Therefore, the total cost of 48 video games would be
48 × 40.75 = $1956
9514 1404 393
Answer:
Step-by-step explanation:
There are a couple of ways to work a problem like this. You have probably been taught to write equations for each of the payment amounts as a function of time, then equate those values to solve for the time that makes them equal.
at dealer 1, the total amount paid (y) will be a function of months (x):
y = 2500 +150x
at dealer 2, the corresponding equation is ...
y = 3000 +125x
These are equal when ...
y = y
2500 +150x = 3000 +125x
25x = 500 . . . . . . . . . subtract 125x +2500 from both sides
x = 500/25 = 20
The total paid will be the same after 20 months.
That amount is ...
y = 2500 +150(20) = 5500
$5500 will be paid to either dealer after 20 months.
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The other way to work the problem is to "cut to the chase". The difference in down payment is made up at the rate of difference in monthly payments. So The number of monthly payments (x) required to equal the difference in down payments is ...
25x = 500 . . . . . . . . . you may recognize this equation from above
x = 500/25 = 20
<span>before answering this question, we should know the properties of angles and parallel lines. For example, two angles are called interior alternate angles, if each angle is created by the existence of two parallel lines and a an another line called transversal. As for our case, 3 and 5 are alternate angles, so meas 3 = meas 5. It verifies Z test when we look at the figure.</span>
