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3 years ago

Find the exact value of cos 45º in simplest form with a rational denominator.

Mathematics

1 answer:

goldenfox [79]3 years ago

8 0

Answer:

$\frac{\sqrt{2} }{2}$

Step-by-step explanation:

Cos is Adjacent over Hypotenuse, (see picture below)

x/xsqrt(2)

1/sqrt(2)

sqrt(2)/2

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There are 12 boys at the park

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3 years ago

A rocket is launched vertically from the ground with an initial velocity of 64 ft/sec.

diamong [38]

we know the rocket was launched from the ground, meaning its initial height is 0, thus

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Check the picture below.

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2 years ago

A baseball player had 4 hits in 8 games. At this rate, how many hits will the baseball player have in the next 28 games?

hoa [83]

Answer:

Step-by-step explanation:

I would say 14 because if you multiply 8 by 3 it would equal 24. And that is just below 28. Then, I tried to see if 8 x 4 would work, but that equaled 32. And both of those numbers are in between 28. So, if I multiplied 8 by 3 to get 24, I also multiplied the 4 by 3 which equals 12. So, I would say it would be 14.

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3 years ago

Level 3<br> Solve: |x + 2|– 5 = -1

leonid [27]

Answer:

x=−6

x=2

Step-by-step explanation:

Combine like terms and use the properties of equality to get the variable on one side of the equal sign and the numbers on the other side. Remember to follow the order of operations.

∣x+2∣−5=−1

Add 5 to both sides of the equation.

∣x+2∣=4

Use the definition of absolute value.

x+2=4

x+2=−4

Subtract 2 from both sides of the equation.

x=2

x=−6

6 0

3 years ago

The perimeter of a quarter circle is 17.85 miles. What is the quarter circle’s radius?

siniylev [52]

Answer:

8.1

Step-by-step explanation:

The perimeter of a circle means the circumference. In this question it says the perimeter of a quarter circle is 17.85 miles and we want to find the quarter circle’s radius.

We know that the perimeter of the quarter circle is 17.85 which means that the 2 radii and the circumference of the circle sum to 17.85.

The formula to work out the perimeter of a quarter circle is $2r+\frac{\pi }{2}$ . We can form an equation to work out the radius so,

$2r+\frac{\pi }{2}$ = 17.85

→ Multiply everything by 2 to get rid of the fraction

4r + π = 35.7

→ Minus π from both sides to isolate 4r

4r = 32.55840735

→ Divide both sides by 4 to isolate 4

r = 8.139601837

The radius of the quarter circle is 8.1 miles to 1 decimal place

6 0

3 years ago

Find the exact value of cos 45º in simplest form with a rational denominator.​

Find the exact value of cos 45º in simplest form with a rational denominator.