Answer:
160:340
Step-by-step explanation:
The hours between 2:00pm and 4:00pm is 2 hours. If originally 350 freshman and 200 sophomores are at the carnival, and 20 freshman leave every hour, we can determine how many freshman left in 2 hours:
and if 35 sophomores arrive every half our, we know that for every two hours there is 4 half hours, therefore:
The amount of freshman at 4:00pm:
and the amount of sophomores:
the ratio is 160:340
If we do not care about order, then a combination is an arrangement of r objects chosen from n distinct objects. It can often be seen written as:
or
Its factorial form is:
Answer:
C. 5
Step-by-step explanation:
Keeping in mind that this is a right triangle, to find the length of side a, we can use the Pythagorean Theorem.
Remember, the Pythagorean Theorem is:
a² + b² = c²
where a and b are the legs of the right triangle and c is the hypotenuse.
As we can see in the image, a is one of the two legs of the right triangle. 13 is the hypotenuse and 12 is another leg. Plugging into the Pythagorean Theorem, we get:
a² + 12² = 13²
Now we solve for a.
a² + 144 = 169
Subtract 144 from both sides.
a² = 169 - 144
a² = 25
Take the square root of both sides.
a = √25
a = 5
So the length of side a would be 5.
The answer would be C. 5.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer:
1017.36 mm²
Step-by-step explanation:
d = 2r => r = d/2 = 36mm/2 = 18 mm
A = π·r²
= 3.14×(18mm)²
= 3.14×324mm²
= 1017.36 mm²
Answer:
40.5
Step-by-step explanation:
(n-2)*180
(7-2)*180=5*180=900
10p+135+149+121+90=900
10p=-495+900=405
p=40.5