Ask question

Ask question

All categories

2 years ago

13

Find the volume of the right prism with a cylindrical hole. Round to the nearest tenth.

1 answer:

sergey [27]2 years ago

7 0

Answer:

11.2

Step-by-step explanation:

First, you get the volume of the right prism by multiplying the length times the width times the height, which is 2.5 cubed. Then we subtract the volume of the cylindrical hole. We do this by doing pi times the radius squared times the height, which is pi times 0.75 squared times the height. This will yield 11.2 cubic millimeters.

You might be interested in

I need help in this question please !

Tresset [83]

The answer would be 100/101 if we follow according to the rule on which the sequence is based on!

5 0

2 years ago

Read 2 more answers

I need some assistance. Please help!

horsena [70]

Answer: Hope this helps you!

Edit: the 2nd photo is more in detail and should help you better. Good luck!

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Paige and Cindy have been saving money. Paige started with $350 in her savings and deposits $25 into her savings each week. Cind

LUCKY_DIMON [66]

Answer:

D. 11

Step-by-step explanation:

T = total savings

w = number of weeks

Paige:

T = 350 + 25w

Cindy:

T = 190 + 40w

In how many weeks will Cindy have more money in her savings than Paige

Equate the total savings of both of them

350 + 25w = 190 + 40w

Collect like terms

350 - 190 = 40w - 25w

160 = 15w

w = 160/15

w = 10.67

Approximately,

In 11 weeks, will Cindy have more money in her savings than Paige

Check:

Paige:

T = 350 + 25w

= 350 + 25(11)

= 350 + 275

= 625

Cindy:

T = 190 + 40w

= 190 + 40(11)

= 190 + 440

= 630

3 0

2 years ago

Which inequality represents the value of x that ensures triangle abc exists?

olasank [31]

Answer:

Option A.

Step-by-step explanation:

According to triangle inequality theorem, a triangle exists if the sum of two sides is greater that third side.

Apply this theorem on each combination.

Case I: $(2x+4)+6x>18$

$8x+4>18$

$8x>14$

$x>\dfrac{14}{8}$

$x>\dfrac{7}{4}$ ...(1)

Case II: $(2x+4)+18>6x$

$2x+22>6x$

$22>4x$

$\dfrac{22}{4}>x$

$\dfrac{11}{2}>x$ ...(2)

Case III: $6x+18>2x+4$

$6x-2x>4-18$

$4x>-14$

$x>-\dfrac{14}{4}$

$x>-\dfrac{7}{2}$ ...(3)

On combining (1), (2) and (3), we get

$\dfrac{7}{4}$

Therefore, the correct option is A.

3 0

2 years ago

Please someone answer this, “what is the area of triangle ABC?”

prisoha [69]

Here's the solution,

The given triangle is an <u>equilateral triangle</u>, because it's all angles measure 60° each

now,

Area of an equilateral triangle :

=》

$\dfrac{ \sqrt{3} }{4} {a}^{2}$

where,

a = 8 ( side measure )

=》

$\dfrac{ \sqrt{3} }{4} \times 8 \times 8$

=》

$\sqrt{3} \times 16$

=》

$16 \sqrt{3} \: \: \: cm {}^{2}$

or

=》

$27.71 \: \: cm {}^{2}$

4 0

2 years ago