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2 years ago

Is it possible that for every right triangle, it has two complementary angles?

1 answer:

Montano1993 [528]2 years ago

3 0

Yes, every right triangle has two complementary angles.

This is because you know that the interior angles of a triangle have to add up to 180 degrees.

A right angle is 90 degrees, so the remaining two angles have to add up to (180-90) degrees, or 90 degrees.

Two angles whose sum is 90 degrees are complementary.

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Determine the sample size required to estimate the mean score on a standardized test within 4 points of the true mean with 98% c

Darina [25.2K]

Answer:

Step-by-step explanation:

You have to use fractions to show your work and I'm not going to do that but just know that it is the answer.

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2 years ago

A beverage is made by mixing 1 part of water with 3 parts of fruit juice. How many parts of water are mixed with 1 part of fruit

forsale [732]

Answer:

1/3

Step-by-step explanation:

for every 1 part of water there is 3 parts juice so if there's only 1 part juice it would be a 1/3

5 0

2 years ago

Read 2 more answers

What does 3√2 mean is it to multiply he square root ?

NNADVOKAT [17]

Answer: Yes, it means 3 times the square root of 2. First, find the square root of 2. Then multiply that value by 3. You can also type it into a calculator, and it will give you the exact value.

3 0

2 years ago

A circle is centered at the point (5, -4) and passes through the point (-3, 2).

zepelin [54]

Answer:

(x-5)^2+(y+4)^2=100

Step-by-step explanation:

As we know the given points

Center = (5, -4)

and

Point on circle = (-3,2)

The distance between point on circle and center will give us the radius of circle

So,

The formula for distance is:

$\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1})^{2}}\\Taking\ center\ as\ point\ 1\ and\ the\ other\ point\ as\ point\ 2\\d=\sqrt{(-3-5)^{2}+(2-(-4))^{2}}\\d=\sqrt{(-8)^{2}+(2+4)^{2}}\\d=\sqrt{(-8)^{2}+(6)^{2}}\\\\d=\sqrt{64+36}\\d=\sqrt{100} \\ d=10\\So\ the\ radius\ is\ 10$

The standard form of equation of circle is:

$(x-h)^{2}+(y-k)^{2}=r^{2}$

where h and k are the coordinates of the center. So putting in the value:

$(x-5)^{2}+(y-(-4))^{2}=(10)^{2}\\(x-5)^{2}+(y+4)^{2}=100$

8 0

2 years ago

You deposited $10,000 into a savings account at 6%. After a certain amount of time, you earned $4,800. How long did you have you

nirvana33 [79]

Answer:

800 months

Step-by-step explanation:

The formula for interest is:

(Capital * saving account * time) / 100

So:

(10000 * 0.06 * x) / (100) = 4800

We clear x:

(10000 * 0.06 * x) = (100) * 4800

x = 480,000 / (10000 * 0.06)

x = 800 months (66.67 years)

5 0

2 years ago