1)What is the exact circumference of a circle with a radius of 15 cm?2)What is the exact circumference of a circle with a radius of 16?

A 60
B 30
C 15
D 10

Answers

Answer 1

Answer: 1)What is the exact circumference of a circle with a radius of 15 cm?

The circumference of a circle is calculated by the equation:

C = 2πr = 2π(15 cm) = 30π cm

2)What is the exact circumference of a circle with a radius of 16?

The circumference of a circle is calculated by the equation:

C = 2πr = 2π(16 cm) = 32π cm

Answer 2

Answer:

Answer:

The answer is 30

Step-by-step explanation:

I took the quiz. In order to find the circumference, you will need to multiply your number by 2. In this case, your answer will be 30^^

Just an example for others... because I'm 6 years late;-;

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A painter leans a 20-ft ladder against a building. The base of the ladder is 12 ft from the building. To the nearest foot, how high on the building does the ladder reach?

Answers

Answer:

The height of the building is 16 ft.

Step-by-step explanation:

It is given that a painter leans a 20-ft ladder against a building. The base of the ladder is 12 ft from the building.

It means the base of the right angled triangle is 12 ft and the hypotenuse is 20 ft.

Let the height of the building be x.

Using Pythagoras theorem,

$hypotenuse^2=base^2+perpendicular^2$

$(200)^2=(12)^2+x^2$

$x^2=400-144$

$x^2=256$

Taking square root both sides.

$x=√(256)$

$x=16$

Therefore the height of the building is 16 ft.

the ladder would reach 16 feet on the building.
Pythagorean theorem helps find this answer.

Write an equation in slope intercept form of a line that passes through the point (2,4) and is perpendicular to the graph of x-6y=2

Answers

-6y=2-x
y=x/6-1/3
so the slope for this line is 1/6,
therefore the slope for line perpendicular to this line is -6
y=mx+b
subsitute (2,4)in
4=-6*2+b
you get b=16
so the equation is y=-6x+16

What is the additive inverse of the polynomial -9x2+6x2y-5x3

Answers

The additive inverse of the equation is 9x2 - 6x2y + 5x3.

Find four consecutive integers such that twice the sum of the two greater integers exceeds three times the first by 91

Answers

Answer:

81, 82, 83, 84.

Step-by-step explanation:

Let x represent 1st integer. Then the next three consecutive integers would be $x+1,x+2\text{ and }x+3$ .

We have been given that twice the sum of the two greater integers exceeds three times the first by 91. We can represent our given information in an equation as:

$2(x+2+x+3)=3x+91$

Let us solve for x.

$2(2x+5)=3x+91$

$4x+10=3x+91$

$4x-3x+10=3x-3x+91$

$x+10=91$

$x+10-10=91-10$

$x=81$

Therefore, the 1st integer would be 81.

The next three consecutive integers would be:

$81+1=82\n81+2=83\n81+3=84$

Therefore, our required four consecutive integers are 81, 82, 83, 84.

Final answer:

To find four consecutive integers, set up an equation using the given information and solve for x. The four consecutive integers are -86, -85, -84, and -83.

Explanation:

To find four consecutive integers, we can let the first integer be x. The next three consecutive integers would then be x+1, x+2, and x+3. According to the given condition, twice the sum of the two greater integers (x+2 + x+3 = 2x+5) exceeds three times the first integer (3x) by 91. So, we can set up the equation 2x+5 = 3x + 91 and solve for x.

Subtracting 2x from both sides yields 5 = x + 91. Subtracting 91 from both sides gives -86 = x. Therefore, the four consecutive integers are -86, -85, -84, and -83.

Learn more about Consecutive Integers here:

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This list shows how many hours twenty batteries lasted when they ran continually in a flashlight. 78 31 47 51 16 58 60 10 30 40 46 63 65 10 93 22 13 47 64 93 What is the mean, median, and mode of the battery life data?a. mean: 47 median: 46.85 mode: 10, 47, 93
c. mean: 46.85 median: 47 mode: none
b. mean: 46.85 median: 47 mode: 10, 47, 93
d. mean: 47 median: 46.85 mode: none

Answers

The mean of the given data is 46.85.

The mode of the given data is 47.

The median of the given data is 10, 47 and 93.

What is mean ?

The mean is the mathematical average of a set of two or more numbers.

Formula for mean

mean = sum of the given numbers/ total number of numbers

What is median?

Median is the middle number is a sorted list of the numbers.

Formula for median

for odd number of observations

Median = {(n + 1)/2}th term

for even number of observations

Median = [(n/2)th term + {(n/2)+1}th term}/2

where, n is the number of observations

What is mode?

The mode is the value that is repeatedly occurring in a given set or data.

According to the given question

we have a data

78, 31, 47, 51, 16, 58, 60, 10, 30, 40, 46, 63, 65, 10, 93, 22, 13, 47, 64, 93

Arranging the given data in ascending order

10, 10, 13, 16, 22, 30, 31, 40, 46, 47, 47, 51, 58, 60, 63, 64, 65, 78 , 93, 93

Mean = (10+10+13+16+22+30+31+40+46+47+47+51+58+60+63+64+65+78+93+93)/20 = 937/20 = 46.85

Median =[(20/2)th term + {(20/2)+1}th term}]/2 = (10th term +11term)/2

= (47+47)/2 =47

Mode = 10, 47 and 93

Learn more about mean, median and mode here:

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Mean:
78 + 31 + 47 + 51 + 16 + 58 + 60 + 10 + 30 + 40 + 46 + 63 + 65 + 10 + 93 + 22 + 13 + 47 + 64 + 93 = 937

937 ÷ 20 = 46.85

Median:
10, 10, 13, 16, 22, 30, 31, 40, 46, 47, 47, 51, 58, 60, 63, 64, 65, 78, 93, 93
• middle of the sequence ∧∧
Mode:
Number(s) that occur the most: 10, 47, and 93

Therefore, the answer is: b. mean: 46.85 median: 47 mode: 10, 47, 93

What is x^2 -7x + 12 = 0 what is using method of factoring