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3 years ago

Please help, 6th grade math ( look at the picture )

Mathematics

1 answer:

stepladder [879]3 years ago

4 0

Answer:

1. 360cm^3

2. 240cm^3

3. 150cm^3

4. 210cm^3

5. 512cm^3

6. 864cm^3

7. 92cm^2

8. 150cm^2

9. 446cm^2

10. 174cm^2

11. 384cm^2

12. 540cm^2

Step-by-step explanation:

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A right square prism has a volume of 75 cubic inches. The prism is enlarged so its height is increased by a factor of 5, but the

kvasek [131]

Answer:

The new volume is 375 cubic inches.

Step-by-step explanation:

Volume of a right square prism:

The volume of a right square prism is given by:

$V = a^2h$

In which a is the length of the edge and h is the height.

A right square prism has a volume of 75 cubic inches.

This means that:

$a^2h = 75$

The prism is enlarged so its height is increased by a factor of 5

Edge is the same, height is 5 times. So

$a^2(5h) = 5(a^2h) = 5*75 = 375$

The new volume is 375 cubic inches.

8 0

3 years ago

If a point is chosen inside the square, what is the probability that it will also be inside the circle?

Feliz [49]

Answer:

$79\%$

Step-by-step explanation:

The probability that the point is chosen in the circle is equal to the area of the circle divided by the area of the square.

Formulas used:

Area of a square with side length $s$ is given by $A=s^2$
Area of a circle with radius $r$ is given by $A=r^2\pi$

The segment marked as 1 represents not only the radius of the circle, but also half the side length of the square. Therefore, the side length of the square is 2, and we have:

Area of square: $A=2^2=4$

Area of circle:

$A=1^2\pi=\pi$

Therefore, the probability that the point will be inside the circle is:

$\frac{\pi}{4}=0.78539816339\approx \boxed{79\%}$

3 0

3 years ago

Write this word sentence as an inequality. A number y is greater than 1 and is less than or equal to 8 .

Akimi4 [234]

Answer:

1<y≤8

Step-by-step explanation:

step 1

The number is y and it is greater than one.

The sign for greater than in mathematics is '>'

Therefore, we can write

y>1

And it means 1 is less than y

Less than = <

1<y

Step 2

y is less than or equal to 8. In mathematics, the 'less than or equal to' sign is '≤'

Therefore, we can write

y≤8

Step 3

We then combine these two inequalities

1<y≤8

5 0

3 years ago

Use the formula v=u+at to find the velocity when .the initial velocity is 3m/s. •the acceleration is 1.5 m/s. •the time is 7 sec

Ksju [112]

Final Velocity = Initial Velocity + (Acceleration * time)

Final Velocity = ?

Initial Velocity = 3

Acceleration = 1.5

Time = 7

Plug in and solve

3+(1.5*7)

3+10.5

Velocity = 13.5m/s

5 0

3 years ago

How many terms are in the expression below?<br> 5x+18

Hoochie [10]

i think the answer is 2

i dont know for sure

5 0

3 years ago