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3241004551 [841]
3 years ago
11

Please help!! will give brainliest and 20points!!! SUPER EASY PROBLEM

Mathematics
1 answer:
Fiesta28 [93]3 years ago
5 0

Answer:

C. 184 ft²

Step-by-Step Explanation:

The formula for the surface area of a triangular prism is

SA = bh + 2ls + lb; where b = base, h = height, l = length, s = side

First, substitute the known value into the equation:

b = 6 ft

h = 4 ft

l = 10 ft

s = 5 ft

SA = (6)(4) + 2(10)(5) + (10)(6)

Then, all we have to do is simplify:

SA = 24 + 2(50) + 60

SA = 24 + 100 + 60

SA = 184 ft²

Hope this helps!

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w= 150

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Step-by-step explanation:

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2 years ago
Find the values of a such that the solution
e-lub [12.9K]

Answer:

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Step-by-step explanation:

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What does it mean to be a Rigid Motion?<br> Name 3 Rigid Motions that we discussed in Semester A:​
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2 years ago
A computer programming team has 13 members. a. How many ways can a group of seven be chosen to work on a project? b. Suppose sev
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Answer:

1716 ;

700 ;

1715 ;

658 ;

1254 ;

792

Step-by-step explanation:

Given that :

Number of members (n) = 13

a. How many ways can a group of seven be chosen to work on a project?

13C7:

Recall :

nCr = n! ÷ (n-r)! r!

13C7 = 13! ÷ (13 - 7)!7!

= 13! ÷ 6! 7!

(13*12*11*10*9*8*7!) ÷ 7! (6*5*4*3*2*1)

1235520 / 720

= 1716

b. Suppose seven team members are women and six are men.

Men = 6 ; women = 7

(i) How many groups of seven can be chosen that contain four women and three men?

(7C4) * (6C3)

Using calculator :

7C4 = 35

6C3 = 20

(35 * 20) = 700

(ii) How many groups of seven can be chosen that contain at least one man?

13C7 - 7C7

7C7 = only women

13C7 = 1716

7C7 = 1

1716 - 1 = 1715

(iii) How many groups of seven can be chosen that contain at most three women?

(6C4 * 7C3) + (6C5 * 7C2) + (6C6 * 7C1)

Using calculator :

(15 * 35) + (6 * 21) + (1 * 7)

525 + 126 + 7

= 658

c. Suppose two team members refuse to work together on projects. How many groups of seven can be chosen to work on a project?

(First in second out) + (second in first out) + (both out)

13 - 2 = 11

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Using calculator :

462 + 462 + 330

= 1254

d. Suppose two team members insist on either working together or not at all on projects. How many groups of seven can be chosen to work on a project?

Number of ways with both in the group = 11C5

Number of ways with both out of the group = 11C7

11C5 + 11C7

462 + 330

= 792

8 0
2 years ago
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