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3 years ago

What is the area of the figure?

Mathematics

1 answer:

Ivahew [28]3 years ago

7 0

Answer:

80 ft²

Step-by-step explanation:

A (rectangle) = 2*16 = 32 ft²

Length of pink line is x² = 10² - 8², x =√36 = 6 ft

A(triangle) = (1/2)*base*height = (1/2)*8*6=24 ft²

Area of two triangles = 2*24 = 48 ft²

All area = area of rectangle + area of two triangles = 32 + 48 = 80 ft²

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How do you solve this?

Effectus [21]

Answer:

shheeeesh that is hard good luck

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2 years ago

Sanjay borrowed 7,000 at a simple interest rate of 3% per year. After a certain number of years he had paid $840 in interest alt

alexgriva [62]

Answer:

It was 4 years.

Step-by-step explanation:

To solve this problem we need to use the appropriate formula for simple interest, which is shown below:

M = C*r*t

Where M is the amount of interest, C is the initial amount of money, r is the rate of interest and t is the time elapsed in years. Applying the data from the problem we have:

840 =7000*0.03*t

840 = 210*t

210*t = 840

t = 840/210

t = 4

It was 4 years.

7 0

3 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. A sphere with height h a

8090 [49]

Answer:

C. 14 metres cubed

Step-by-step explanation:

The volume of a sphere is denoted by: $V=\frac{4}{3} \pi r^3$ , where r is the radius, while the volume of a cylinder is denoted by: $V=\pi r^2h$ , where r is the radius and h is the height.

Here, we know that the sphere and cylinder have the same radius and height. However, the "height" of the sphere is technically just the diameter, which is twice the radius. So, h = 2r. We know the volume of the cylinder is 21, so:

$V=\pi r^2h=\pi r^2*2r=2\pi r^3$

$21=2\pi r^3$

πr³ = 21/2 = 10.5

Now plug this into the volume of a sphere formula:

$V=\frac{4}{3} \pi r^3$

$V=\frac{4}{3} *10.5=14$

The answer is C, 14 metres cubed.

5 0

3 years ago

Read 2 more answers

13. Find the arc length with the given information . centralangle = pi/4, radius = 6

zimovet [89]

Answer:

it is 4th one for 14 it is 2nd one

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Students are doing an experiment: that two fair dice are tossed, and all the outcomes are recorded.Then,an event is described as

Marysya12 [62]

Answer:

1.The random variable X can take any value from( 2,- ----,12) in the event of the sample space.

2.The sample space S = [(1, 1), (1, 2),(2, 1), (1, 3), (2, 2),(3, 1), (1, 4),(2, 3),(3, 2),(4, 1), (1, 5),(2, 4), (3, 3),(4, 2),(5, 1),(1, 6), (2, 5),(3, 4),(4, 3),(5, 2), (6, 1), (2, 6),(3, 5), (4, 4), (5, 3), (6, 2),(3, 6), (4, 5), (5, 4), (6, 3),(4, 6) (5, 5), (6, 4),(5,6), (6,5),(6,6)]

3. The probability of getting a 4 = 1/12

4. The probability of getting a 12 = 1/36

Step-by-step explanation:

There are 36 outcomes in all and the event shows the possible numbers obtained after the sum .

The event will be E= [ 2,3,4,5,6,7,8,9,10,11,12]

The random variable X can take any value from( 2,- ----,12) in the event of the sample space.

The sample space S = [(1, 1), (1, 2),(2, 1), (1, 3), (2, 2),(3, 1), (1, 4),(2, 3),(3, 2),(4, 1), (1, 5),(2, 4), (3, 3),(4, 2),(5, 1),(1, 6), (2, 5),(3, 4),(4, 3),(5, 2), (6, 1), (2, 6),(3, 5), (4, 4), (5, 3), (6, 2),(3, 6), (4, 5), (5, 4), (6, 3),(4, 6) (5, 5), (6, 4),(5,6), (6,5),(6,6)]

that is it has all the possible outcomes of both the dice.

The probability of getting a 4= Number of fav outcome/ no of possible outcomes= 3/ 36= 1/12

The probability of getting a 12= Number of fav outcome/ no of possible outcomes=1/36

6 0

2 years ago