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2 years ago

What is the approximate area of the circle shown below?

Mathematics

2 answers:

oksano4ka [1.4K]2 years ago

7 0

Answer:

it should be 201.062

Step-by-step explanation:

area of a circle is pi times the radius to the power of 2.

Karolina [17]2 years ago

4 0

Answer:

A is approximately 201 cm^2

Step-by-step explanation:

The diameter of the circle is 16 so the radius is 1/2 of the diameter

1/2 * 16 = 8

The area of the circle is

A = pi r^2

A = 3.14 * 8^2

A =200.96 cm^2

A is approximately 201 cm^2

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What are two reasons someone might purposely choose a HIGHER monthly payment?

Allisa [31]

To earn extra money a month

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2 years ago

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Consider the conjecture that the sum of a rational number and an irrational number is ALWAYS irrational. To try to prove this co

miss Akunina [59]

Answer:

B) irrational. Since an irrational number cannot equal a rational number.

The premise that c is rational is false

Step-by-step explanation:

The assumption that c is rational means that the difference c-a must be rational. That difference is b, so b=c-a would mean that b must be rational. But b is defined to be irrational. Since an irrational number cannot equal a rational number, a contradiction arises and the assumption that c is rational must be false. Therefore the sum (c) must be irrational. (B)

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2 years ago

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The mean clotting time of blood is 7.45 seconds with a standard deviation of 3.6 seconds. what is the probability that an indiv

Usimov [2.4K]

Less than 3 is about 10.75% and greater than 13 is about 6.18%.

To find these percents, you need to find the z-score for each value. Then, use your table to find the correct percent. Be sure to find the side above 13 when you use your chart.

For less than 3:
(3 - 7.45) / 3.6 = -1.24 = The percent below this is 0.1075

For greater than 13:
(13 - 7.45) / 3.6 = 1.54 = The percent above this is 0.0618

7 0

2 years ago

Jeff earned his pilot's license and flew to visit his brother 200 miles away. A headwind of 20 mph slowed down the plane's speed

lora16 [44]

<h2>Plane's speed without wind i s 117.68 mph</h2>

Step-by-step explanation:

We have speed of plane without wind is x.

Distance to brothers place = 200 miles.

A headwind of 20 mph slowed down the plane's speed on the first leg of the trip

Speed to brothers place = x - 20

We have

Distance = Speed x Time

$200=(x-20)\times t_1\\\\t_1=\frac{200}{x-20}$

A tailwind of 20 mph sped up the plane on the return trip

Speed of return trip = x + 20

We have

Distance = Speed x Time

$200=(x+20)\times t_2\\\\t_2=\frac{200}{x+20}$

The entire trip took 3.5 hours.

That is

$t_1+t_2=3.5\\\\\frac{200}{x-20}+\frac{200}{x+20}=3.5\\\\200x+4000+2000x-4000=3.5(x-20)(x+20)\\\\400x=3.5x^2-1400\\\\7x^2-800x-2800=0\\\\\texttt{x = 117.68mph or x =-3.40mph}$

Plane's speed without wind i s 117.68 mph

7 0

2 years ago

The ratio of the same side interior angles of two parallel lines is 1:14. Find the measures of all eight angles formed by the pa

prisoha [69]

Answer:

At the intersection of the first parallel line with the transversal, a = 12°, c = 168°, d = 12°, e = 168°. Counting counterclockwise from a.

At the first intersection of the second parallel line with the transversal, b = 168°, f = 12°, g = 168°, h = 12°. Counting clockwise from b.

Step-by-step explanation:

Let a be the first interior angle. Since they are in 1:14, the second same side interior angle is b = 14a.

We know that the sum of interior angles equals 180°.

So, a + b = 180°

a + 14a = 180°

15a = 180°

a = 180/15

a = 12°

At alternate angle to the other interior angle, b adjacent to a is c = b = 14a = 14 × 12 = 168°

The angle vertically opposite to a is d = a = 12°

The angle vertically opposite to a is b = e = 168°

At the intersection of the second parallel line and the transversal, the angle alternate to a is f = a = 12°

the angle vertically opposite to angle b is g = b = 168°

the angle vertically opposite to f is h = 12°

4 0

2 years ago