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2 years ago

What is the following sum? 5(3√x)+9(3√x)

Mathematics

2 answers:

Liula [17]2 years ago

4 0

Answer:

Option (c) is correct.

$5(\sqrt[3]{x})+9(\sqrt[3]{x} )=14\sqrt[3]{x}$

Step-by-step explanation:

Given : expression $5(\sqrt[3]{x})+9(\sqrt[3]{x} )$

We have to choose the correct option from the given options to the sum of the given expression.

Consider the given expression $5(\sqrt[3]{x})+9(\sqrt[3]{x} )$

Taking $\sqrt[3]{x}$ common from both terms, we have,

$(\sqrt[3]{x})(5+9)=14\sqrt[3]{x}$

Thus, $5(\sqrt[3]{x})+9(\sqrt[3]{x} )=14\sqrt[3]{x}$

charle [14.2K]2 years ago

3 0

5(3√x)+9(3√x)
=3√x(5+9)
=14(3√x)

answer is C. third choice 14(3√x)

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1 year ago

How do i find the volume of these similar solids? round to the nearest tenth HELP

FromTheMoon [43]

Answer:

The volume of the larger solid is $592.6\ mm^3$

Step-by-step explanation:

<u><em>The question is</em></u>

If these solids are similar, find the volume of the larger solid

step 1

Find the scale factor

we know that

If two solids are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

x ----> the height of the larger solid in mm

y ----> the height of the smaller solid in mm

z ---> the scale factor

$z=\frac{x}{y}$

we have

$x=4\ mm\\y=3\ mm$

substitute

$z=\frac{4}{3}$ ---> scale factor

step 2

Find the volume of the larger solid

we know that

If two solids are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

x ----> the volume of the larger solid in cubic millimeters

y ----> the volume of the smaller solid in in cubic millimeters

z ---> the scale factor

$z^3=\frac{x}{y}$

we have

$z=\frac{4}{3}$

$y=250\ mm^3$

substitute the values

$(\frac{4}{3})^3=\frac{x}{250}$

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4 0

2 years ago

To the nearest tenth of a degree, ﬁnd the sizes of the acute angles in the 7-24-25 right

fiasKO [112]

First of all, just to avoid being snookered by a trick question, we should verify that these are really right triangles:

7² + 24² really is 25² , and 8² + 15² really is 17² , so we're OK there.

In the first one:
sin(one acute angle) = 7/25 = 0.28
the angle = sin⁻¹ (0.28) = 16.26°
the other acute angle = (90° - 16.26°) = 73.74°

In the second one:
sin(one acute angle) = 8/17 = 0.4706...
the angle = sin⁻¹ (0.4706...) = 28.07°
the other acute angle = (90° - 28.07°) = 61.93°

I'm sorry, but just now, I don't know how to do the
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7 0

2 years ago