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3 years ago

The segments shown below could form a triangle. A. True B. False

Mathematics

1 answer:

Whitepunk [10]3 years ago

8 0

Very true. A triangle consists of three sides so think of how u could make a triangle with those three lines

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On Halloween, a man presents a child with a bowl containing eight different pieces of candy. He tells her that she may have thre

likoan [24]

Answer:

$56$ choices

Step-by-step explanation:

We know that we'll have to solve this problem with a permutation or a combination, but which one do we use? The answer is a combination because the order in which the child picks the candy <u><em>does not</em></u> matter.

To further demonstrate this, imagine I have 4 pieces of candy labeled A, B, C, and D. I could choose A, then C, then B or I could choose C, then B, then A, but in the end, I still have the same pieces, regardless of what order I pick them in. I hope that helps to understand why this problem will be solved with a combination.

Anyways, back to the solving! Remember that the combination formula is

$_nC_r=\frac{n!}{r!(n-r)!}$ , where n is the number of objects in the sample (the number of objects you choose from) and r is the number of objects that are to be chosen.

In this case, $n=8$ and $r=3$ . Substituting these values into the formula gives us:

$_8C_3=\frac{8!}{3!5!}$

$= \frac{8*7*6*5*4*3*2*1}{3*2*1*5*4*3*2*1}$ (Expand the factorials)

$=\frac{8*7*6}{3*2*1}$ (Cancel out $5*4*3*2*1$ )

$=\frac{8*7*6}{6}$ (Evaluate denominator)

$=8*7$ (Cancel out $6$ )

$=56$

Therefore, the child has $\bf56$ different ways to pick the candies. Hope this helps!

3 0

3 years ago

P minus 1 equals 5 p plus 3 p minus 8

frez [133]

Answer:

p -1 = 5p + 3p -8

p=1

Step-by-step explanation:

p -1 = 5p + 3p -8

Combine like terms

p-1 = 8p -8

Subtract p from each side

p-1-p = 8p-p -8

-1 = 7p -8

Add 8 to each side

-1 +8 =7p-8+8

7 = 7p

Divide by 7

7/7 = 7p/7

1 =p

4 0

3 years ago

Read 2 more answers

The constant term in the numerator polynomial x? - 5x + 7 is 7. If y is the number to be added to the numerator to get the new c

Alecsey [184]

Answer:

objects that absorb all light colours that fall on them.

6 0

3 years ago

Travka [436]

Answer:

$203.04

Step-by-step explanation:

First, you have to calculate the cost of sending one free sample and you could use a rule of three to find it:

23 onces → $0.36

69 onces → x

x=(69 onces*$0.36)/23 onces= $1.08

Then, you can multiply the cost of sending one free sample for the quantity of samples Instant Meals wants to mail out:

$1.08*188= $203.04

According to this, the answer is that Instant Meals would spend $203.04 on postage to mail out one hundred eighty-eight samples.

8 0

3 years ago

Mona has invested $2840 in a savings account for 6 years. She earned $894.60 in a simple interest. What was the annual interest

forsale [732]

Answer:

The annual interest rate was 5.25%.

Step-by-step explanation:

Simple interest can be calculated using the following formula: I = PRT, where I=simple interest, P=principal amount, R=percentage rate and T=time. In this problem, Mona started with a principal amount of $2840, or P=2840 and invested for 6 years, or T=6, to gain simple interest in the amount of $894.60, or I=894.60. When we put in the values for our variables in the equation, we get: 894.60 = (2840)(6)R. Multiplying 2840 x 6 = 17040 and gives us: 894.60 = 17040R. Using inverse operations to isolate the variable, we divide both sides by 17040 to get R=0.0525. Since the rate is a percentage, we need to multiply our answer by 100 to get 5.25%.

8 0

3 years ago