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Yuliya22 [10]
3 years ago
8

MTH 8 Test Geometric Applications of Exponents 2020-2021

Mathematics
1 answer:
vladimir2022 [97]3 years ago
8 0

Answer: Triangle 3 is not a right triangle

Step-by-step explanation:

The sides should be able to put into the Pythagorean Theorem if it is a right triangle

Triangle 1: 6, 8, 10... 36+64=100-- true statement

Triangle 2: 6, 10, 12 ...  36+100 - 144-- incorrect statement

Triangle 3: 9, 12, 15... 81+144= 225-- true Statement

Triangle 4: 12, 16, 20... 144+256=400-- true statement

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Find the product: ( x-1/x ) ( x+1/x ) ( x2+1/x2 ) ( x4+1/x4 )
erma4kov [3.2K]

Use the difference of 2 squares (a - b)(a + b) = a^2 - b^2:-

(x - 1/x)(x + 1/x) = x^2 - (1/x)^2

= x^2 - 1/x^2

(x ^2 - 1/x^2)(x^2 + 1 /x^2)

= x^4 - 1/x^4

(x^4 - 1/x^4)(x^4 + 1/x^4)

= x^8 - 1 /x^8 Answer

3 0
3 years ago
A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team. How many diff
lys-0071 [83]

Answer:

The team can be formed in 756 different ways

Step-by-step explanation:

This is a combination problem since we are to select a set of people from a group. Combination has to do with selection.

for example, if r number of object is to be selected from a pool of n objects, this can be done in nCr number of ways.

nCr = \frac{n!}{(n-r)!r!}

Now If A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team, then this can be done in the following way;

7C2 * 9C2

7C2 = \frac{7!}{5!2!} \\= \frac{7*6*5!}{5!*2} \\= 7*3\\= 21ways\\\\similarly;\\\\9C2 = \frac{9!}{7!2!}\\9C2= \frac{9*8*7!}{7!*2} \\9C2 = 9*4\\9C2 = 36

7C2 * 9C2 = 21*36

= 756

The team can be formed in 756 different ways

5 0
3 years ago
Can someone help me pls
nikitadnepr [17]

Answer:

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3 years ago
You toss 3 coins. What is the probability that you get exactly 3 heads, given that you get at least one tail? A tree diagram wil
Leviafan [203]
Out of 3 coins, if you are given that 1 is on tails, then the most heads you could have is 3 coins - 1 tails = 2 heads.

The probability of getting 3 heads would be 0.
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3 years ago
Judging from past bowling games, the probability that you will get a strike in a game is 60%. If you bowl 40 games, in how many
BabaBlast [244]
24 games because there is a 60 per cent chance in 40 games


7 0
3 years ago
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