We do this by using the formula $\displaystyle nCr=\frac{n!}{r!(n-r)!}$ which describes the number of ways we can choose $r$ objects given $n$ possible choices. So, if $n=7$ and $r=4$ , then:

$_4C_7=\frac{7!}{4!(7-4)!}\\\\_4C_7=\frac{7*6*5*4!}{4!*3!}\\\\_4C_7=\frac{210}{6}\\\\_4C_7=35$

Hence, the teacher can make 35 different geometry quizzes.

3 0

2 years ago

Scott deposits $5,000 at the end of each year into an account for five years. Assuming 6% interest semiannually, what is the val

vfiekz [6]

I think the answer is d 28185.50 dollars.

4 0

3 years ago

One angle of an isosceles triangle measures 26°. Which other angles could be in that isosceles triangle?

Julli [10]

Answer:

There are two answers, either of which would work

26°, 26° and 128°
26°, 77° and 77°

Method:

An isosceles triangle has 2 of the same sides so there are two possible answers:

1) 26° is one of the angles which is the same as another. 26° × 2 = 52° and since there are 180° in a triangle the other angle is 180° - 52° which is 128°. This would make the angles 26°, 26° and 128°

2) 26° is not one of the angles which is the same as another. Since there are 180° in a triangle, the other angles would both be 2 ÷ (180° - 26°) which is 77°. This would make the angless 26°, 77° and 77°

3 0

3 years ago