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2 years ago

Question 1 options:

Mathematics

1 answer:

OLEGan [10]2 years ago

5 0

Answer:

4000 $m^{3}$

Step-by-step explanation:

V = 1/3(Bh) where B is the area of the base and h is the height of the pyramid

B = 20(20) = 400 h = 30

V = 1/3(400)(30) = 4000 $m^{3}$

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Is negative 1/3 less than 1/5

nika2105 [10]

Negatives are always smaller then positives because negatives are less then 0. So, yes, -1/3 is less then 1/5

3 0

3 years ago

A cereal company is exploring new cylinder-shaped containers. Two possible containers are shown in the diagram.x is 6 and r=4.5

KatRina [158]

Answer:

Container $\rm X$ will have less label area than container $\rm Y$ by about $9\; \rm in$ .

Step-by-step explanation:

A rectangular sheet of paper can be rolled into a cylinder. Conversely, the lateral surface of a cylinder can be unrolled into a rectangle- without changing the area of that surface.

Indeed, the width of that rectangle will be the same as the height of the cylinder. On the other hand, the length of that rectangle should be exactly equal to the circumference of the circles on the top and the bottom of the cylinder. In other words, if a cylinder has a height of $h$ and a radius of $r$ at the top and the bottom, then its lateral surface can be unrolled into a rectangle of width $h$ and length $2\,\pi\, r$ .

Apply this reasoning to both cylinder $\mathrm{X}$ and $\rm Y$ :

For cylinder $\mathrm{X}$ , $h = 6\; \rm in$ while $r = 4.5\; \rm in$ . Therefore, when the lateral side of this cylinder is unrolled:

The width of the rectangle will be $6\; \rm in$ , while
The length of the rectangle will be $2 \, \pi \times 4.5\; \rm in = 9\, \pi\; \rm in$ .

That corresponds to a lateral surface area of $54\, \pi\; \rm in^2$ .

For cylinder $\rm Y$ , $h = 10.5\; \rm in$ while $r = 3\; \rm in$ . Similarly, when the lateral side of this cylinder is unrolled:

The width of the rectangle will be $10.5\; \rm in$ , while
The length of the rectangle will be $2\pi\times 3\; \rm in = 6\,\pi \; \rm in$ .

That corresponds to a lateral surface area of $63\,\pi \; \rm in^2$ .

Therefore, the lateral surface area of cylinder $\rm X$ is smaller than that of cylinder $\rm Y$ by $9\,\pi\; \rm in^2$ .

5 0

3 years ago

Please help me with this soon much appreciated.

NeX [460]

Answer:

1 : 2

Step-by-step explanation:

this is a 30-60-90 triangle which is a special right triangle. the ratio of the sides is x: x*sqrt(3): 2x, in the order short leg: long leg: hypotenuse. so the ratio of the short leg to the hypotenuse is x:2x or 1:2

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2 years ago

Solve for x 49 = 2592/x

adoni [48]

ok so basically x=1/2 which is the exact form. and the decimal form is x=0.5 Step-by-step explanation:

6 0

3 years ago

What is a simple event?

konstantin123 [22]

Answer:

an event with no possible outcomes

Step-by-step explanation:

because there is only one posible thing that can happen

8 0

3 years ago