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3 years ago

Which of the following will NOT produce a triangle?

Mathematics

2 answers:

seraphim [82]3 years ago

8 0

Answer:

c) side lengths 0f 5.5 ft, 11 ft, and 5.5 ft

Step-by-step explanation:

The two shorter side lengths added together must exceed the longer side length (and equal to does not work)

seropon [69]3 years ago

3 0

Answer:

C) 5.5ft, 11ft, 5.5ft

Step-by-step explanation:

A) 47+58+75 = 180 (Correct)

B) 61+61+58 = 180 (Correct)

C) 5.5+5.5>11 - 11>11 (Incorrect- the two smaller sides must be greater than the largest sides when added together)

D) 5+7>8(Correct)

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Johanna purchases a book for $14.95. There is a sales tax of 6.5%. How much is the final price with tax? What is the total? What

Nat2105 [25]

Okay so 6.5% of $14.95 is 0.97175. That rounds to 0.97. And to get the total we just add 0.97 to 14.95. Our answer is 15.92. However if you don't want to round then you would add 14.95 and 0.97175 . This would give you15.92175. Hope this helps!

8 0

3 years ago

Read 2 more answers

What is AB? in the right triangle shown, AC = BC = 2

saul85 [17]

Answer:

2.83

Step-by-step explanation:

using the pythagorean theorem, $AB=\sqrt{AC^2+BC^2}=\sqrt{2^2+2^2}$ ≈ $2.83$

6 0

3 years ago

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7) PG & E have 12 linemen working Tuesdays in Placer County. They work in groups of 8. How many

BabaBlast [244]

Part A

Since order matters, we use the nPr permutation formula

We use n = 12 and r = 8

$_{n}P_{r} = \frac{n!}{(n-r)!}\\\\_{12}P_{8} = \frac{12!}{(12-8)!}\\\\_{12}P_{8} = \frac{12!}{4!}\\\\_{12}P_{8} = \frac{12*11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1}\\\\_{12}P_{8} = \frac{479,001,600}{24}\\\\_{12}P_{8} = 19,958,400\\\\$

There are a little under 20 million different permutations.

<h3>Answer: 19,958,400</h3>

Side note: your teacher may not want you to type in the commas

============================================================

Part B

In this case, order doesn't matter. We could use the nCr combination formula like so.

$_{n}C_{r} = \frac{n!}{r!(n-r)!}\\\\_{12}C_{8} = \frac{12!}{8!(12-8)!}\\\\_{12}C_{8} = \frac{12!}{4!}\\\\_{12}C_{8} = \frac{12*11*10*9*8!}{8!*4!}\\\\_{12}C_{8} = \frac{12*11*10*9}{4!} \ \text{ ... pair of 8! terms cancel}\\\\_{12}C_{8} = \frac{12*11*10*9}{4*3*2*1}\\\\_{12}C_{8} = \frac{11880}{24}\\\\_{12}C_{8} = 495\\\\$

We have a much smaller number compared to last time because order isn't important. Consider a group of 3 people {A,B,C} and this group is identical to {C,B,A}. This idea applies to groups of any number.

-----------------

Another way we can compute the answer is to use the result from part A.

Recall that:

nCr = (nPr)/(r!)

If we know the permutation value, we simply divide by r! to get the combination value. In this case, we divide by r! = 8! = 8*7*6*5*4*3*2*1 = 40,320

So,

$_{n}C_{r} = \frac{_{n}P_{r}}{r!}\\\\_{12}C_{8} = \frac{_{12}P_{8}}{8!}\\\\_{12}C_{8} = \frac{19,958,400}{40,320}\\\\_{12}C_{8} = 495\\\\$

Not only is this shortcut fairly handy, but it's also interesting to see how the concepts of combinations and permutations connect to one another.

-----------------

<h3>Answer: 495</h3>

5 0

2 years ago

What is the value of the expression?

Lady bird [3.3K]

Answer:

690

Step-by-step explanation:

(323+1715)-(1135+213)

(2038)-(1348)

=690

5 0

3 years ago

A pizza restaurant sells containers of juice that it marks up 75 percent above its wholesale cost. If the restaurant marks up ea

Len [333]

75% of what is 0.90
0.75x = 0.90
x = 0.90/0.75
x = 1.20 <== restaurant pays $ 1.20 wholesale

4 0

3 years ago

Read 2 more answers