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bazaltina [42]
3 years ago
15

What is the value of x?

Mathematics
1 answer:
spin [16.1K]3 years ago
5 0

It is a 45-45 - 90 triangle (as the right angle is split in half for the outer one)

In this case, x is in the hypotenuse. The side lengths follow the 1, 1, √2 formula.

If  1 = 3, then:

3 x √2 = Answer

Answer = 3√2

hope this helps

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8.) Write an inequality that can be used to represent this situation, where x represents Olivia’s sister’s age. (Short answer)
Bumek [7]

Answer:

The oldest age of Olivia’s sister can be 11 years.

Step-by-step explanation:

Given: Olivia’s sister’s age is x years.

To write: inequality that can be used to represent the given situation.

As Olivia is 6 years older than her sister,

Olivia's age =x+6

As the sum of their ages is no more than 28 years,

x+(x+6)\leq 28\\2x+6\leq 28\\2x\leq 28-6\\2x\leq 22\\x\leq \frac{22}{2}\\ x\leq 11

So, the oldest age of Olivia’s sister can be 11 years.

5 0
4 years ago
What is 6 over 21 in simplest form
Naya [18.7K]

Answer:

2 over 7

Step-by-step explanation:

7 0
4 years ago
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A company has a break even point in revenue at 800,000. Variable costs are 60% of the revenue. If the company lost 40,000 last y
Norma-Jean [14]

Answer: A company has 440000 as revenue.

Step-by-step explanation:

Total revenue a company earned = 800000

Variable costs = 60% of revenue

So , variable costs becomes

\frac{60}{100}\times 800000\\=480000

Now, company lost = 40000

So, remaining revenue becomes

480000-40000=440000

So, a company has 440000 as revenue.

6 0
4 years ago
1 7/8 x 2 1/3 ?????????
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4 3/8


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Use the calculator to find the product. (9.1 × 109)(7.5 × 102) what is the exponent of the power in scientific notation?
antiseptic1488 [7]

The exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12

<h3>How does scientific notations work?</h3>

The number is written in the form a \times 10^b where we have 1 \leq a < 10

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

  • Better readability due to compact representation
  • Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

Expressing the multiplication of (9.1 × 10^9)(7.5 × 10^2) in terms of scientific notation, we get:

(9.1 0\times 10^9)(7.5 \times 10^2) = 9100000000 \times 750 = 6825000000000\\(9.1 0\times 10^9)(7.5 \times 10^2) = 6.825 \times 10^{12}(the exponent is 12)

Thus, the exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12

Learn more about scientific notation here:

brainly.com/question/3112062

8 0
2 years ago
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