Answer:
16 faults
Step-by-step explanation:
<u><em>The correct question is</em></u>
In tennis, a first serve can be an ace, a fault, or it can be returned. In one match, a tennis player hit 24 aces, which was 2/5 of all her first serves. If 1/3 of her first serves were returned, how many of the tennis player's first serves were faults?
Let
x -----> the number of all her first servers
y ----> the number of first services returned
z ---> the number of first services faults
we know that
The number of aces plus the number of returned plus the number of faults must be equal to the number of all her first services
so

step 1
Find out the number of all her first servers
we have that

Solve for x

step 2
Find out the number of first services returned

substitute the value of x

step 3
Find out the number of first services faults

we have

substitute and solve for z



<h3>
Answer: A) around 80 cm</h3>
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Explanation:
The perimeter around the circle, aka circumference, is found through this formula
C = 2*pi*r
That's for a full circle. However, we're dealing with semicircles here, so we cut that in half to get pi*r to represent the curved distance around half the circle.
For the outer larger semicircle, that curved distance is exactly 14pi
For the inner smaller semicircle, that curved distance is 7pi, since 7 is half of 14.
The total curved portions is 14pi+7pi = 21pi
Then we add on the last straight line portion that's 14 cm long to get a total perimeter of 21pi+14
This is the exact perimeter in terms of pi.
The last thing to do is replace pi with 3.14 and simplify
21pi+14 = 21*3.14+14 = 79.94
This value rounds to 80
Answer:
Step-by-step explanation:
A printer takes two and one half seconds to print a flyer it took 75 seconds to print a batch of flyers without stopping how many flyers were printed with a multiplication and division equation and solve?
From the above question:
2 1/2 seconds = 1 flyer
75 seconds = x flyer
Cross Multiply
2 1/2 seconds × x flyer = 75 seconds × 1 flyer
Answer:
longer side = √507 cm, shorter side = 13 cm
Step-by-step explanation:
sin60 = opposite side/26cm
opposite side = √507 cm
cos60 = adjacent side/ 26cm
adjacent side = 13 cm
longer side = √507 cm, shorter side = 13 cm