Answer:
D. 11.8 cm
Step-by-step explanation:
This triangle is a 30°-60°-90° triangle. There is a shortcut to find the lengths of the sides of a 30°-60°-90° triangle. The longest side is the hypotenuse. The longest side is double the shortest side or, the shortest side is half the longest side. Here the longest side is 5, so the short leg (shortest side) is 2.5
The other shortcut is that the longer leg is the
short leg×sqroot3
Here, the short leg is 2.5, so the long leg is 2.5×sqroot3
Perimeter is all the sides added together.
5 + 2.5+ 2.5×sqrt3
Do the times first.
5 + 2.5 + 4.3
= 11.8
The first question each friend gets 1/8 of the whole pizza
for half of the pizza each friend gets 1/4 so that times 2 equals 1/8
The second question one person gets 1/15 of the brownie pan
1/5 times 3 equals 1/15
The third question 1/3 cup one serving 1 cup three servings three times six equals 18 servings
The fourth question 1/5 cup one muffin one cup 5 muffins five times nine equals forty-five muffins
Hope this helps
The relationship of arcs is:
S '/ S = ((1/9) * pi * r) / (2 * pi * r)
Rewriting we have:
S '/ S = ((1/9)) / (2)
S '/ S = 1/18
Therefore, the area of the shaded region is:
A '= (S' / S) * A
Where A: area of the complete circle:
Clearing we have:
A = (A ') / (S' / S)
Substituting:
A = ((1/2) pi) / (1/18)
A = ((18/2) pi)
A = (9pi)
Answer:
The area of the circle is:
A = (9pi)
Answer:
19) (
)^2 = 
20) -
= -81
21)
= 16
Step-by-step explanation:
The only wrong ones are
19) (
)^2 = 
20) -
= -81 ... negative is not inside a parenthesis that's why it is still negative
21) you can add another way is
= 16
Everything else looks good. Great job!