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4 years ago

The lcm of two numbers that have no common factors is their product

Mathematics

2 answers:

Andre45 [30]4 years ago

5 0

The answer is true

I did this question and

said false but it was wrong

True [87]4 years ago

3 0

You are right like with 7 and 5

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1 Point

I am Lyosha [343]

Option C

The ratio for the volumes of two similar cylinders is 8 : 27

<h3>Solution:</h3>

Let there are two cylinder of heights "h" and "H"

Also radius to be "r" and "R"

$\text { Volume of a cylinder }=\pi r^{2} h$

Where π = 3.14 , r is the radius and h is the height

Now the ratio of their heights and radii is 2:3 .i.e

$\frac{\mathrm{r}}{R}=\frac{\mathrm{h}}{H}=\frac{2}{3}$

Ratio for the volumes of two cylinders

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{\pi r^{2} h}{\pi R^{2} H}$

Cancelling the common terms, we get

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{\mathrm{r}}{R}\right)^{2} \times\left(\frac{\mathrm{h}}{\mathrm{H}}\right)$

Substituting we get,

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{2}{3}\right)^{2} \times\left(\frac{2}{3}\right)$

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{2 \times 2 \times 2}{3 \times 3 \times 3}$

$\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{8}{27}$

Hence, the ratio of volume of two cylinders is 8 : 27

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=7%20%5Cfrac%7B2%7D%7B3%7D%20%20" id="TexFormula1" title="7 \frac{2}{3} " alt="7 \frac{2}{3}

sammy [17]

Answer:

$7 \frac{2}{3}=\frac{7*3+2}{3}=\frac{23}{3}$

$7 \: \frac{1}{2}=\frac{7*2+1}{2}=\frac{15}{2}$

$5842 \div 23=254$

8 0

3 years ago

What is the value of the expression shown below? 8 + (7 + 1) 2 ÷ 4 ⋅ 2

Leni [432]

The answer is 10

8+(8)2÷4·2
8+16÷4·2 4·2=8 then 16÷8
8+2=10

just use PEMDAS

6 0

3 years ago

40 POINTS!!!

maria [59]

Answer:

470 cm³

Step-by-step explanation:

Volume of rectangular prism = width × length × height

⇒ Volume of whole rectangular prism = 9 cm × 10 cm × 8 cm

= 720 cm³

Side lengths of the missing piece:

width = 5 cm
length = 10 cm
height = 8 cm - 3 cm = 5 cm

⇒ Volume of the missing piece = 5 cm × 10 cm × 5 cm

= 250 cm³

⇒ Volume of irregular figure = 720 cm³ - 250 cm³

= 470 cm³

4 0

2 years ago

Katya has several sources of income, listed in the table. Which are considered earned income? *****Select all that apply.******

Lady_Fox [76]

Answer: $1300 per month salary

2% commission on all sales

3 0

3 years ago