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LuckyWell [14K]
2 years ago
8

Heyy!!

Mathematics
1 answer:
rosijanka [135]2 years ago
8 0

<u>Answer:</u>

6^{10}

<u>Step-by-step explanation:</u>

We can use the following rule of surds to solve the problem:

\boxed{a^m \times a^n = a^{m + n}},

which means that when multiplying two numbers with the same bases, we can simply add their powers while keeping the base the same.

Applying this rule:

6^2 \times 6^8

⇒ 6^{2 + 8}

⇒ \bf 6^{10}

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The two rectangular prisms are similar. What is the volume of the larger rectangular prism? 240 cm³ 540 cm³ 1620 cm³ 3240 cm³ A
Andreas93 [3]

Volume of a figure is measure of the space it occupies. The volume of the larger rectangular prism is given as: Option C: 1620 cm³

<h3>How to calculate volume of a rectangular prism?</h3>

If a rectangular prism has dimensions <u>a</u> unit, <u>b</u> unit, and <u>c</u> units, then its volume is given as

V = a \times b \times c \: \rm unit^3

<h3>What are similar figures?</h3>

They are scaled. It means, if two figures are similar, then we can get one figure from another by multiplying some constant value(same for one pair of similar figure) to its dimensions.

For example,

if for given case, one rectangular prism has got dimensions a, b, and c centimetres, then

the second rectangular prism, which is similar, let the scale factor is 'd',t then second prism's dimensions will be a x d units, b x d units, and  c x d units.

For first prism(smaller), its one side is given to be 5 cm, let its other two sides be 'b' cm, and 'c' cm, then,

60 \: \rm cm^3 = 5\times b\times c \\\\b\times c = \dfrac{60}{5} = 12

Now, the larger prism has 15 cm corresponding side, thus, scale factor was 3 (since 15 is 3 times 5).

Thus, its dimensions would be 15, 3 x b, 3 x c

Thus, its volume would be

15 \times 3 \times b \times 3 \times c = 135 \times  b\times c = 135 \times 12 = 1620 \: \rm cm^3

Thus,

The volume of the larger rectangular prism is given as: Option C: 1620 cm³

Learn more about volume of rectangular prism here:

brainly.com/question/21308574

5 0
3 years ago
How many zeros are in the product (6x5)x103
Serga [27]
If you multiply 6 * 5 you get 30.  30 * 103 = 3,090

There are 2 zeros in the product of (6x5)x103
4 0
3 years ago
What is &gt;&gt;&gt;&gt;&gt; -x&lt;15-2x
Gemiola [76]
-x
7 0
3 years ago
If a1 = 7 and an = An-1 – 3 then find the value of a4.
V125BC [204]

Answer:

-2

Step-by-step explanation:

If a1 = 7 and an = An-1 – 3

a4 = a3 - 3

Get a2;

a2 = a1 - 3

a2 = 7 - 3

a2 = 4

Get a3;

a3 = a2 - 3

a3 = 4 - 3

a3 = 1

GEt the required a4

a4 = a3 - 3

a4 = 1 - 3

a4  = -2

Hence the value of a4 is -2

8 0
2 years ago
Write an equation in slope intercept form that goes through (-1,6) and (3,-2)
pochemuha
<h2>Answer:</h2>

First, we need to use <u><em>slope formula*</em></u> to find the slope.

m = \frac{-2 - 6}{3 - (-1)} = \frac{-8}{4} = -2

Second, we use the slope we found and <em>ONE</em> of the 2 points listed and plug it into <u><em>slope-intercept form**</em></u> to solve for <u><em>b</em></u>.

Here is what we have so far:

  • m = -2

I'm going to use this point:

  • x = 3
  • y = -2

Here is how to find <em>b</em>:

-2 = -2(3) + b\\\\-2 = -6 + b\\\\4 = b

Finally, we put all of it together and we have our equation.

y = -2x + b

*Slope formula: <em>m = y₂ - y₁/x₂ - x₁</em>

**Slope-intercept form: <em>y = mx + b</em>

<em></em>

5 0
3 years ago
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