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Aloiza [94]
3 years ago
15

What is the length of x

Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0

Answer:

10 is your answer

Step-by-step explanation:

Note that the side given to us has a measurement of 5 for one of the legs of the isosceles.

This means that the <em>1</em> side on the 30-60-90 triangle has a measurement of 5.

Now, note the measurements of the triangle sides for a 30-60-90 triangle. They measure at: 1 , √3 , 2.

the side 1 is given to us, at 5. You are solving for the hypothenuse (2). Multiply 2 to the side 1

5 * 2 = 10

10 is your answer

~

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Scientific notation 484,000,000
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4.84 x 10^8 is 485,000,00 in scientific notation.
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3 years ago
Help i have no idea how to do this i will mark you brainless if you actually try to get it right
blondinia [14]

Answer:

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8 0
3 years ago
Karissa earns $200 per week plus $25 per item she sells. What is the equation that models the relationship between her pay per w
Digiron [165]
Let p = her pay per week.

<span>"Karissa earns $200 per week plus $25 per item she sells."

She earns a fixed amount of $200 per week no matter how much she sells.
Then she earns an additional variable amount that depends on the number of items she sells. It is $25 per item.

p = fixed amount + variable amount

The variable amount is:
If she sells 1 item, she earns 25 * 1
If she sells 2 items, she earns 25 * 2
If she sells 3 items, she earns 25 * 3
If she sells n items, she earns 25 * n
The variable amount she earns is 25n, where n is the number of items she sells.

</span>
<span>p = fixed amount + variable amount

p = 200 + 25n
</span>
4 0
3 years ago
Let f(x) = √x-5<br><br> Find f^ -1.
iris [78.8K]

Answer:

f^{-1}(x)= x^2 + 5 \,,\,\,x\geq 0

Step-by-step explanation:

Use the method of swapping x and y and isolating y.

f(x) = y = \sqrt{x-5}\,,\,\,\,x\geq 5,y\geq0\\\\f^{-1}:x=\sqrt{y-5}\,,\,\,\,y\geq 5, x\geq 0\\x^2 = y-5\\y = x^2 + 5 = f^{-1}(x)\\

Note that domain/range will be swapped as well.

5 0
3 years ago
A golden rectangle is 32cm long.The ratio of length to width is (1 + square root of 5) :2. What is the width of the rectangle in
zhannawk [14.2K]

Answer:

Width = 16(√5) - 1

Step-by-step explanation:

We are told that the golden rectangle is 32 cm long.

Thus, length = 32 cm

We are also told that the ratio of the length to the width is; (1 + √5):2

Thus;

If a length of (1 + √5) yields a width of 2

Then, a length of 32 cm would yield a width of; (32 x 2)/(1 + √5)

So corresponding width = 64/(1 + √5)

We want to reduce this width to it's simplest radical form which means the denominator should have no square root.

Thus, let's multiply top and bottom by (1 - √5);

Width = 64 x (1 - √5)/[(1 + √5) x (1 - √5)]

Width = 64(1 - √5)/(1 - 5)

Width = 64(1 - √5)/(-4)

Width = -16(1 - √5)

Width = 16(√5 - 1)

Width = 16√5 - 1

8 0
3 years ago
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