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3 years ago

What’s the answer ????

Mathematics

1 answer:

anzhelika [568]3 years ago

5 0

The first one is the answer.

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Here are two closed containers and four balls just fit into each container. Each ball has a diameter of 60mm. Which container ha

Fittoniya [83]

Answer:

"A is smaller"

Step-by-step explanation:

The full question is attached.

Surface area of cylinder:

The formula is $SA=2\pi r^2 + 2\pi r h$

where r is the radius and h is the height

Here, radius would be 30 since balls have diameter 60 and radius is half of that.

Also height is the diameter of 4 balls line-by-line, so height is 60*4 = 240

Now, plugging into the formula, we get:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (30)^2 + 2\pi (30) (240)\\SA=50,868$

Surface Area of rectangular prism:

The surface area of rectangular prism is the area of all the rectangular surfaces (6 of them).

Area of top and bottom = (60+60)*(60+60) * 2 = 120*120 * 2 = 28,800

Area of 2 sides = 2 * (60*120) = 14,400

Area of front and back = 2 * (60*120) = 14,400

Total Surface Area = 28,800 + 14,400 + 14,400 = 57,600

Thus, cylinder has smaller surface area.

"A is smaller"

7 0

3 years ago

Read 2 more answers

the ratio of girls to boys in the six grade class is seven to six. If there are 84 girls, how many boys are in the six grade

padilas [110]

There are 72 boys. 7:6 = 84:?, divide 84 by 7, you get 12. Multiply 6 by 12 to get the answer.

4 0

2 years ago

What can you conclude about the tangent lines and the diameter of a circle?

svetlana [45]

Answer:

B. perpendicular Hope this helps!

6 0

2 years ago

From a radar station, the angle of elevation of an approaching airplane is 32.5 degree. The horizontal distance between the plan

denis23 [38]

Answer: 42.21 km

Step-by-step explanation:

We can solve this using trigonometry, since we have the following data:

$\theta=32.5\°$ is the the angle of elevation

$d=35.6 km$ is the horizontal distance between the plane and the radar station

$x$ is the hypotenuse of the right triangle formed between the radar station and the airplane

Now, the trigonometric function that will be used is cosine:

$cos\theta=\frac{d}{x}$ because $d$ is the adjacent side of the right triangle

$cos(32.5\°)=\frac{35.6 km}{x}$

Finding $x$ :

$x=\frac{35.6 km}{cos(32.5\°)}$

$x=42.21 km$

4 0

3 years ago

Evaluate the sum of the following finite geometric series. 5+15+45 +135+ . . . + 1215 Sn=1

Nata [24]

Answer:

1820

Step-by-step explanation:

The sum of the first n terms of a geometric series with common ratio r and first term a is:

a(1-r^n)/(1-r). Plugging this in 5(1-3^6)/(1-3)=1820

5 0

3 years ago