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3 years ago

What is the value of x in a 45-45-90 triangle and the hypotenuse is 4?

Mathematics

1 answer:

Temka [501]3 years ago

3 0

9514 1404 393

Answer:

x = 2√2 ≈ 2.83

Step-by-step explanation:

The side length of an isosceles right triangle is 1/√2 times the hypotenuse length. If x is the side length, then ...

x = 4/√2 = 4(√2)/2

x = 2√2 ≈ 2.83

You have not specified the form of the answer. Sometimes an exact answer (2√2) is required. Sometimes the answer is required to be rounded to tenths or hundredths.

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Factor completely, x^2+25. A).(X+5)(X+5). B).(X+5)(X-5). C).(X-5)(X-5). D.Prime.

Tatiana [17]

The answer you are looking for is B. If you use the FOIL method (first,outer,inner,last) of multiplication, you will find that (x+5) times (x-5) is actually x^2+25. Hope this helps! Comment if you have questions!!! :)

4 0

3 years ago

Read 2 more answers

Which math expression means "the product of 16 and 26"? 16 +26 O 16.26 15 - 26 26-16

Llana [10]

Answer:

The product of 16 and 26 would be 16 * 26

Step-by-step explanation:

This is because "the product of" means multiplication so *. Making it 16 * 26.

8 0

3 years ago

Which fraction is halway between 1/2 and and 1 1/4

Igoryamba

Answer:

3/8

Step-by-step explanation:

= (1/4 + 1/2 )/2

= 3/4 ÷ 2

= 3/(4×2)

= 3/8 (final answer)

7 0

2 years ago

Read 2 more answers

Help please (will chose brainliest).

lara [203]

Answers with Explanation.

i. If we raise a number to an exponent of 1, we get the same number.

${10}^{1} = 10$

ii. If we raise 10 to an exponent of 2, it means we multiply 10 by itself two times.

${10}^{2} = 10 \times 10 = 100$

iii. If we raise 10 to an exponent of 3, it means we multiply 10 by itself three times.

${10}^{3} = 10 \times {10}^{2} = 10 \times 100 = 1000$

iv. If we raise 10 to an exponent of 4, it means we multiply 10 by itself four times.

${10}^{4} = 10 \times {10}^{3} = 10 \times 1000 = 10000$

v. If we raise 10 to an exponent of 5, it means we multiply 10 by itself five times.

${10}^{5} = 10 \times {10}^{4} = 10 \times 10000 = 100000$

${10}^{5} = 100000$

vi. Recall that,

${a}^{ - m} = \frac{1}{ {a}^{m} }$
We apply this law of exponents to obtain,

${10}^{ - 2} = \frac{1}{{10}^{2} } = \frac{1}{100}$

vii. We apply
${a}^{ - m} = \frac{1}{ {a}^{m} }$
again to obtain,

${10}^{ - 3} = \frac{1}{ {10}^{3} } = \frac{1}{1000}$

5 0

3 years ago

From a group of 13 women and 12 men, a researcher wants to randomly select 8 women and 8 men for a study. In how many ways can

Fantom [35]

The total number of ways the study can be selected is: 637065

Given,

Total number of women in a group= 13

Total number of men in a group = 12

Number of women chosen = 8

Number of men chosen = 8

∴ the total number of ways the study group can be selected = 13C₈ and 12C₈.

This in the form of combination factor = nCr

∴ nCr = n!/(n₋r)! r!

13C₈ = 13!/(13 ₋ 8)! 8!

= 13!/5!.8!

= 1287

12C₈ = 12!/(12₋8)! 8!

= 12!/5! 8!

= 495

Now multiply both the combinations of men and women

= 1287 × 495

= 637065

Hence the total number of ways the study group is selected is 637065

Learn more about "Permutations and Combinations" here-

brainly.com/question/11732255

#SPJ10

4 0

2 years ago