Select the correct answer. If 20% of a number is 35, what is 50% of that number?

Evaluate the expression. StartFraction 9 factorial Over 3 factorial EndFraction 3 6 60,480 362,874

REY [17]

Answer:

60,480 is the correct answer.

Step-by-step explanation:

First of all, let us have a look at the <em>formula of factorial of a number 'n'</em>:

$n! = n \times (n-1) \times (n-2) \times ...... \times 1$

i.e. multiply n with (n-1) then by (n-2) upto 1.

<em>Keep on subtracting 1 from the number and keep on multiplying until we reach to 1.</em>

So, $9!$ can be written as: $9 \times 8 \times 7 \times ...... \times 1$

Similarly $3!$ can be written as: $3 \times 2 \times 1$

Re-writing $9 !$ :

$9 \times 8 \times 7 \times ...... 3 \times 2 \times 1\\\Rightarrow 9 \times 8 \times 7 \times ...... 3 !$

Now, the expression to be evaluated:

$\dfrac{9!}{3!} = \dfrac{9 \times 8 \times 7 \times ..... \times 3!}{3!}\\\Rightarrow 9 \times 8 \times 7 \times 6 \times 5 \times 4\\\Rightarrow 60480$

5 0

3 years ago

Read 2 more answers

Classify the following triangle. check all that apply

Karo-lina-s [1.5K]

Answer:

Options (A), (B)

Step-by-step explanation:

Option A.

Two sides of the given triangle are equal. Therefore, the given triangle is an isosceles triangle.

Option (B).

Given triangle has a right angle. Therefore, it's a right triangle.

Option (C).

Only two sides of the given triangle are equal. Therefore, it's not an equilateral triangle.

Option (D).

Although this triangle has two acute angles (less than 90°) but the third angle is 90°. Therefore, this triangle is not an acute triangle. It's a right triangle.

Option (E).

A scalene triangle is a triangle having all sides different in measure but the given triangle is an isosceles triangle. Therefore, it's not a scalene.

Option (F).

Any angle of this triangle is not more than 90°. Therefore, the given triangle is not an obtuse triangle.

5 0

3 years ago

It takes me 12 minutes to run 2 kilometers. How long will it take me to run 10,000 meters?

galina1969 [7]

60min or 1 hour

Because 2km is equal to 2000m
Therefore you multiply 12 min by 5 (because 2000m x 5 is 10000m)

7 0

3 years ago

Joe wants to purchase

svp [43]

Answer: