Answer:
The perimeter is 
Step-by-step explanation:
we know that
The perimeter of the figure is equal to the circumference of a semicircle
plus the perimeter of a square minus the diameter of the circle
so

we have



The diameter of the circle is equal to the length side of the square
substitute



Answer:
B
Step-by-step explanation:
Subtract 150 from both sides
-5r ≥ -62.5
Divide both sides by -5
r ≤ 12.5
(The greater than sign flips around when you divide or multiply both sides by a negative number)
Answer: -75
Explanation: In this problem, we're given the function f(x) = 7x - 5 and we're asked to find f(-10).
To find f(-10) or the value of the function when <em>x = -10</em> we simply substitute -10 in for <em>x</em> in our function.
So we have 7(-10) - 5 or -70 - 5 which equals -75.
So f(-10) or the value of the function when <em>x</em> <em>= 10</em> is -75.
Since your answer to this problem was <em>a</em>, your answer is correct.
Answer:
196 tickets
Step-by-step explanation:
The total expenses to put on a 3-day production of a play is $980. Each ticket to go and watch the play is going to be sold for $5. The producer sells x number of tickets, x number of tickets would cost 5x. Therefore to find the number of tickets the producer must sell so as to make a profit the money generated from selling the tickets must be more than the cost of production. Therefore we use the formula:
5x ≥ 980
Dividing through by 5:
x ≥ 980
x ≥ 980/5
x ≥ 196
Therefore the producer must sell at least 196 tickets so as to make a profit
Answer:
<A = 76°
<B = 63°
<C = 41°
Plug in the value of x
<C = 34 + 7
<C = 41°
Step-by-step explanation:
(sum of ∆)
Solve for x

Add like terms

Subtract 78 from each side


Divide both sides by 3
x = 34
<A = 2x + 8
Plug in the value of x
<A = 2(34) + 8 = 76°
<B = 63°
<C = x + 7
Plug in the value of x
<C = 34 + 7
<C = 41°