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dimulka [17.4K]
3 years ago
7

Use special right triangle ratios to find the length of the hypotenuse. Right Triangle Trig.

Mathematics
1 answer:
marusya05 [52]3 years ago
5 0

Answer:

11 sqrt(2)

Step-by-step explanation:

We know that in a 45 45 90 triangle, the lengths of the sides are x, x ,x sqrt(2)

the length of x is 11

so the lengths of the sides are 11, 11, 11 sqrt(2)

The hypotenuse is 11 sqrt(2)

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15 quarters to 3 dollars<br>​
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Answer:

so, it's 3.75 to 3

Step-by-step explanation:

15 quarters is 3 dollars and 3 quarters

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2 years ago
Two trains are 500 miles apart when they first enter a collision course. If, after two hours, the distance between them is 300 m
deff fn [24]
60 miles per hour. In two miles the sum of the distance the two trains traveled was 200 miles, you divide that by 2, the sum of the speed of the two trains is 100 miles per hour, now put the speed of the slow train as  x and the fast as x +20, the sum of x and x +20 is 100, so 2x + 20 =100, you subtract 20 from both sides, 2x = 80, divide by 2, x = 40, the problem asks for the speed of the fast train, so, x + 20 is 60.
6 0
3 years ago
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First, consider the number of moves as a
iren [92.7K]

Answer:

The sequence is 2, 4, 8, 16, 32

The next answer is 2

Step-by-step explanation:

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3 years ago
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The weights for newborn babies is approximately normally distributed with a mean of 5.4 pounds and a standard deviation of 1.8 p
Mariana [72]

Answer:

You would expect 807 babies  to weigh between 3 and 6 pounds.

Step-by-step explanation:

We are given that

Mean,\mu=5.4pounds

Standard deviation,\sigma=1.8pounds

n=1500

We have to find how  many would you expect to weigh between 3 and 6 pounds.

The weights for newborn babies is approximately normally distributed.

Now,

P(3

=P(-1.33

P(3

P(3

P(3

Number of newborn  babies expect to weigh between 3 and 6 pounds

=1500\times 0.538=807

6 0
3 years ago
An art gallery is increasing the asking price of its paintings by 60%. A painting now costs $400.00. How much was the painting b
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The goal here is to find the cost of the painting BEFORE the 60% increase.

To find the cost of the painting, we must take in the information we already have:

Increase percent: 60%
Original price: unknown
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$400 is the price of the painting AFTER the increase has been added. So this equals the cost of the painting before the increase, plus the total amount of the increase (which is 60% of the original price).

The total must be (100% + 60% = 160%) 160% of the original painting price.

To find the original price, we must divide the increased price by the new percentage (160%). But how do we get here?

Well, we have 160% and our (fraction) $400/1%. We will have to switch the 160% and the 1%, giving us..

1% $400/160%

We take 400/160, which is 2.5. But this is only 1% of the original price! We want 100%.

So now, we multiply the 2.5 by 100 to get our answer: $250.

I hope this helps! If you have any questions, feel free to ask.
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3 years ago
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