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GaryK [48]
2 years ago
15

One of the legs of a right triangle measures 1 cm and its hypotenuse measures 2 cm.

Mathematics
1 answer:
FromTheMoon [43]2 years ago
4 0

Answer:

1.7 cm

Step-by-step explanation:

The formula to find the hypotenuse: c^{2} = a^{2} +b^{2}. In this case, the hypotenus is given.

1) Substitute the values into the formula.

2^{2} = 1^{2} +b^{2}

2) Solve for b.

4 = 1 + b^{2} \\4 - 1 = b^{2}\\3 = b^{2}\\\sqrt{3} = b\\1.73205 = b

3) Round the answer to the nearest tenth.

1.7 = b

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Luisa is planning a bridal shower for her best friend. At the party, she wants to serve 3 beverages, 3 appetizers, and 3 dessert
Vladimir79 [104]

Answer:

Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

Also

The order in which the food and drinks are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Beverages:

3 from a set of 15. So

B = C_{15,3} = \frac{15!}{3!12!} = 455

Appetizers:

3 from a set of 10. So

A = C_{10,3} = \frac{10!}{3!7!} = 120

Desserts:

3 from a set of 13. So

D = C_{13,3} = \frac{13!}{3!10!} = 286

How many different ways can Luisa pick the food and drinks to serve at the bridal shower?

By the fundamental counting principle, as beverages, appetizers and desserts are independent:

T = B*A*D = 455*120*286 = 15,615,600

Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.

4 0
4 years ago
What’s is 20% of 75 kilograms
LuckyWell [14K]

Answer:

Its 15

Step-by-step explanation:

20% of 75 is just 15 lol. So i guess 15 Kilograms :)

(brainliest if this is correct for you)

7 0
3 years ago
Identify each sequence as arithmetic, geometric, or neither. Then find the next two terms. 2,1,0.5,0.25, . . . . . .
tresset_1 [31]

It is a geometric sequence. The next two terms are: 0.125, 0.0625

The given sequence is:

2, 1, 0.5, 0.25, . . . .

Let a(n) be the nth term, then in the above sequence

a(1) = 2

a(2) = 1

a(3) = 0.5

a(4) = 0.25

Notice that:

a(2) = a(1) x 0.5

a(3) = a(2) x 0.5

a(4) = a(3) x 0.5

A sequence, of which its next term is obtained by multiplying the previous term by a constant is called a geometric sequence. The constant is called the ratio.

Therefore this is a geometric sequence with r = 0.5

To find the next two terms, continue the multiplication process:

a(5) = a(4) x 0.5 = 0.25 x 0.5 = 0.125

a(6) = a(5) x 0.5 = 0.125 x 0.5 = 0.0625

Learn more about sequences here:

brainly.com/question/24989563

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7 0
1 year ago
Which best describes a triangle with side lengths of 6 inches 8 inches and 9 inches?
Tcecarenko [31]
The correct answer for this question is this one: "C).a unique,acute triangle"

The statement that best describes a triangle with side lengths of 6 inches 8 inches and 9 inches is that it is <u>a unique,acute triangle</u><span>
Hope this helps answer your question and have a nice day ahead.

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3 0
3 years ago
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Answer:

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8 0
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