The answer is 257.08m. Explanation: you know that one side of the square in the middle is 50m. This is the same as the diameter of one of the half circles on each side. The perimeter of a circle is the formula C=2(pi)r, where r is the radius. Dividing 50 by two will get you the size of the radius, then just plug it into the equation to find the perimeter of both rounded sides (a full circle). The two circular sides equal 157.08m, so then you just need to add the flat sides, which are both 50m since they’re congruent. 157.08m + 50m + 50m = 257.08m, so the perimeter of the shape is 257.08m.
Answer:C
Step-by-step explanation:
Answer:
14. 4 + x - 2
15. 8k - 3k
16. 5 + 2y + 15
Step-by-step explanation:
14. "sum" means adding, "minus" means subtract
sum of four and x: 4 + x
minus two: 4 + x - 2
15. "product" means multiplying, "decreased by" means subtract, "times" means multiply
the product of k and 8: 8k
three times k: 3k
the product of k and 8 decreased by three times k: 8k - 3k
(Depending on what the question is asking, you may or may not need to simplify this to 5k (8k - 3k = 5k))
16. "more" means add, "plus" means add, "twice" means multiply by two
five: 5
plus twice y: 5 + 2y
fifteen more: 5 + 2y + 15
Answer:
7/9
Step-by-step explanation:
In order to write the fraction without any units (as a pure number), we must have units in the numerator and denominator that are the same. Then the units cancel.
<h3>Convert to gallons</h3>
We are given the conversion ...
4 quarts = 1 gallon
Multiplying by 7, we see ...
28 quarts = 7 gallons
<h3>Ratio</h3>
This lets us write the desired fraction as ...
(28 quarts)/(9 gallons) = (7 gallons)/(9 gallons) = 7/9
The ratio in simplest form is 7/9.
If two events are independent, then
.
Use formulas for conditional probabilities:
.
For independent events these formulas will be:
.
Now in your case 
and 
.
This shows that the only correct choice is A.
