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FrozenT [24]
3 years ago
6

How many different combinations of two can be made from 80 people?

Mathematics
1 answer:
Alexeev081 [22]3 years ago
3 0

Plugging directly into the combination formula, the answer is \binom{80}{2}=\frac{80!}{2!78!}=\frac{80\cdot 79}{2\cdot 1}=40\cdot 79=\boxed{3160}, where we have cancelled out common factors.

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Parallelogram<br> b=12 cm, h=10 cm, a=
Anna35 [415]
Answer: 120 cm^2

Step-by-Step Explanation:

Base (b) = 12 cm
Height (h) = 10 cm
Area (a) = bh

Therefore,
= bh
= b * h
= 12 * 10
=> 120

Area (a) = 120 cm^2
5 0
2 years ago
Please help!!
garik1379 [7]

Given:

The radius of the cone = 14 ft

The slant height of the cone = 27 ft

To find the lateral surface area and the total surface area of the given cone.

Formula

The lateral surface area of the cone is

LSA = \pi rl and

The total surface area of the cone is

TSA = \pi r^{2} + \pi r l

where,

r be the radius and

l be the slant height of the cone.

Now

Taking r = 14 and l = 27 we get

LSA = \pi (14)(27) sq ft

or, LSA = 1187.5 sq ft

Again,

TSA = \pi(14^2)+\pi (14)(27) sq ft

or,TSA = 1803.3 sq ft

Hence,

The lateral surface area of the cone is 1187.5 sq ft and the total surface area of the cone is 1803.3 sq ft. Option C.

5 0
3 years ago
After the first four games of a professional football season, three players scored a total of 80 touchdowns.
aleksandr82 [10.1K]

Andre Roberts scored a total of 34 touchdowns

An equation is an expression that shows the relationship between two or more variables and numbers.

The total touchdowns is 80.

Duke Johnson scored 14 of the touchdowns.

Josh McCown scored 40% of the touchdowns. = 40% of 80 = 0.4 * 80 = 32

Let x represent the number of touchdowns scored by Andre Roberts, hence:

x + 14 + 32 = 80

x + 46 = 80

x = 34

Andre Roberts scored a total of 34 touchdowns

Find more about equation at: brainly.com/question/2972832

7 0
2 years ago
Read 2 more answers
Simplify your answer as much as possible.<br><br> -27=5v-2
Vinil7 [7]

hello there

the answer is ..... down below

I did the math for ya

hope this helps

thank you

best regards Queen Z

7 0
3 years ago
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The graph below shows a proportional relationship between y and x. What is the constant of proportionality, y/x?
steposvetlana [31]

Answer:

1,40

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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