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3 years ago

The radius of a circle is 6 centimeters. What is the area of the circle?

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

6 0

Answer:

Using the formula πr^2, with r=6, the area would be approximately 113.1 cm

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100 points

Liula [17]

Answer:

volume = 140 cubic units

area = 183.3 square units

Step-by-step explanation:

I am going to assume we are dealing with a pyramid with a rectangular base. The rectangular base has length 7 units, width 5 units, and height 12 units.

Let's do the volume first since it's simpler.

Volume:

volume of pyramid = (1/3) * (area of base) * height

volume = (1/3) * 7 units * 5 units * 12 units

volume = 140 cubic units

Now we deal with the surface area.

The total surface area of a rectangular pyramid is the sum of the lateral area and the area of the base. The area of the base is the area of a rectangle. The lateral area is the sum of the areas of the 4 triangular sides. Each two opposite sides are congruent. For the base, we have the length and width of the rectangular base, so we can find the area easily.

For the 4 triangular sides, we need to find the the height of the triangles. Since each pair of opposite faces is congruent, we have two triangles we need to find the heights for. I'll call the heights "p" and "q". We use the Pythagorean theorem to find the heights of the triangular faces.

a^2 + b^2 = c^2

(3.5)^2 + (12)^2 = p^2

p^2 = 156.25

p = 12.5

(2.5)^2 + (12)^2 = q^2

q^2 = 150.25

q = 12.25765

Area of triangle = (1/2) * base * height

For two of the triangles, the base is 5 and the height is 12.5.

For the other two of the triangles, the base is 7 and the height is 12.25765.

total surface area = area of base + 2(area of triangle with base 5) + 2(area of triangle with base 7)

A = LW + 2(1/2)(base)(height) + 2(1/2)(base)(height)

A = 7(5) + 2(1/2)(5)(12.5) + 2(1/2)(7)(12.25765)

A = 183.3 square units

8 0

3 years ago

Read 2 more answers

NEED HELP

Sladkaya [172]

Answer:

2.60

Step-by-step explanation:

z-score is the difference between the score and mean, divided by the standard deviation.

$z = \frac{x - \mu}{\sigma}$

$z = \frac{91-77.5}{5.2} = \frac{13.5}{5.2} \approx 2.596$

So 2.6 is an answer close enough.

5 0

3 years ago

It’s the end of the season, so softball bats are on clearance for an additional 30% off the sales price. Finley finds one in her

swat32

The bat costs $50 but on clearance, it is an additional 30% off.

50 - (50x.3) = x
50 - 15 = x
35 = x
The sale price of the bat is $35.

4 0

3 years ago

Read 2 more answers

Answer plssss need helpp

Sveta_85 [38]

Answer:

7:44

Step-by-step explanation:

make it 7 o'clock by adding 3 minutes. take this out of the 47 minutes

47-3=44

so 7 o'clock and add 44 minutes.

Ta-Da

6 0

4 years ago

Read 2 more answers

Write an equation that is perpendicular to and 3x+y=3 whose y-intercept 5. Anyone please help me, no link just explain how to do

Liula [17]

Answer:

$y = \frac{1}{3}x + 5$

Step-by-step explanation:

By definition, two lines are perpendicular if and only if their slopes are negative reciprocals of each other: $m = - \frac{1}{m_{2} }$ , or equivalently, $m_{1} * m_{2} = -1$ .

Given our linear equation 3x + y = 3 (or y = -3x + 3):

We can find the equation of the line (with a y-intercept of 5) that is perpendicular to y = -3x + 3 by determining the negative reciprocal of its slope, -3, which is $\frac{1}{3}$ .

To test whether this is correct, we can take first slope, $m_{1} = -3$ , and multiply it with the negative reciprocal slope $m_{2} = \frac{1}{3}$ :

$m_{1} * m_{2} = -1$

$-3 * \frac{1}{3} = -1$

Therefore, we came up with the correct slope for the other line, which is $\frac{1}{3}$ .

Finally, the y-intercept is given by (0, 5). Therefore, the equation of the line that is perpendicular to 3x + y = 3 is:

$y = \frac{1}{3}x + 5$

7 0

3 years ago