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3 years ago

75% of what number is 27?

1 answer:

4 0

So we want to know the number from which we take 75% and get 27. If the number we are looking for is x, then the equation to find that x would be: (75/100)*x=27 which says seventy five percent out of x is equal 27. So, x=(27*100)/75. And finally, x= 2700/75=36. So, 75% out of 36 is 27.

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Find the missing length. Give all answers in the simplest radical form.

Solnce55 [7]

Answer:

x = 2 $\sqrt{74}$

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to solve for x

The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

x² = 14² + 10² = 196 + 100 = 296

Take the square root of both sides

x = $\sqrt{296}$ = 2 $\sqrt{74}$

8 0

2 years ago

A table is in the shape of a regular pentagon with a side length of 3 feet and an

ehidna [41]

Answer:

15.5 ft²

Step-by-step explanation:

The area (A) of a regular polygon is calculated as

A = $\frac{1}{2}$ pa ( p is the perimeter and a the apothem )

Here side of regular pentagon is 3 ft, thus

perimeter = 5 × 3 = 15, so

A = 0.5 × 15 × 2.06 ≈ 15.5 ft ( to the nearest tenth )

8 0

3 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

kati45 [8]

Answer:

42.39 cubic feet

Step-by-step explanation:

7 0

3 years ago

There are 8 members on a board of directors. if they must form a subcommittee of 6 members, how many different subcommittees are

Shtirlitz [24]

1. Given a group of n people. There are C(n, r) ways of forming groups of r out of n.

2. Where C(n, r)= $\frac{n!}{r!(n-r)!}$

3. For example, given {Andy, John, Julia}. We want to pick 2 people to give a gift: we can pick {(Andy, John), (Andy, Julia), (John, Julia)}, so there are 3 ways. So we can list and count.

4. Or we could do this with the formula C(3, 2)= $\frac{3!}{2!(1)!}= \frac{3*2*1}{2*1}=3$

5. C(8, 6)= $\frac{8!}{2!6!}= \frac{8*7*6!}{2*6!}= \frac{8*7}{2}= 4*7=28$

So there are C(8,6)=28 ways of chosing 6 out of 8 people to form the subcommittees.

5 0

3 years ago

Find the area. Simplify your answer. 3x 5

jenyasd209 [6]

Answer:

15x square units

Step-by-step explanation:

3x x 5 =

15x square units

Hope that helps!

8 0

3 years ago