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3 years ago

What is the similarity ratio of the smaller to the larger prisms? Enter your answer as a:b

Mathematics

2 answers:

Wittaler [7]3 years ago

5 0

Answer:

6:9>2:3

Step-by-step explanation:

In order to do this, you just have to equalize the ratio you just need to search for the same sides, so the 6 side is similar with the 9 side on the larger, and then the 8 to the 12 and the 4 to the 6, so you just equalize any of those equal we will use the 8 and 12:

8:12

Now we just reduce it with the same:

4:6

2:3

So the ratio would be 2:3.

vladimir2022 [97]3 years ago

3 0

The similarity ratio, I believe, is 2:3.

Because the lengths are 6 and 9 (2:3), the widths are 8 and 12 (2:3), and the heights are 6 and 4 (2:3).

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Help? Very confused math is not my subject.

erastovalidia [21]

Rewrite the root expressions as fractional exponents:

$\dfrac{\sqrt[3]{7}}{\sqrt[5]{7}} = \dfrac{7^{1/3}}{7^{1/5}}$

Recall that $\frac{a^m}{a^n} = a^{m-n}$ , so that

$\dfrac{7^{1/3}}{7^{1/5}} = 7^{1/3 - 1/5}$

Simplify the exponent:

$\dfrac13 - \dfrac15 = \dfrac5{15} - \dfrac3{15} = \dfrac{5-3}{15} = \dfrac2{15}$

Then you end up with

$\dfrac{\sqrt[3]{7}}{\sqrt[5]{7}} = 7^{2/15}$

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3 years ago

Lynn’s cruise lasted 11 days and 7 hours. Convert the time to hour

arsen [322]

Here is conversion chart

1 day=24hr

so the equation to solve this would look like this

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2 years ago

Find the arc length of a central angle of <img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" title="\pi" alt="\pi" align=

denis-greek [22]

Answer:

The arc length is $2\pi$ inches or 6.28 inches

Step-by-step explanation:

To solve this we are using the arc length formula:

$s=r\alpha$

where

$s$ is the arc length

$r$ is the radius of the circle

$\alpha$ is the central angle in radians

We know from our problem that the central angle is $\frac{\pi }{4}$ and the radius of the circle is 8 inches, so $\alpha =\frac{\pi }{4}$ and $r=8in$ . Let's replace the values to find $s$ :