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4 years ago

Could someone help me with this too?

Mathematics

1 answer:

Alekssandra [29.7K]4 years ago

3 0

So first let’s simplify each term by adding the numbers together. Now we have 10/5 + 9/3. We are still working with each term individually, so next let’s simplify by dividing. 10/5 is 5, and 9/3 is 3, so now we have 5+3 which equals 8. Hope this helps!

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Javier has a model of a cone with a radius of 3 inches and a height of 10 inches. Javier increased his model’s volume by doublin

statuscvo [17]

Answer:

$240 \pi\ in^{3}$

Step-by-step explanation:

we know that

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

Let

z------> the scale factor

x-----> the volume of the larger cone

y-----> the volume of the original cone

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

In this problem we have

$z=2$ -----> scale factor

substitute

$2^{3}=\frac{x}{y}$

$8=\frac{x}{y}$

$x=8y$

That means-----> The volume of the larger cone is 8 times the volume of the original cone

Find the volume of the original cone

$V=\frac{1}{3}\pi r^{2} h$

we have

$r=3\ in$

$h=10\ in$

substitute

$V=\frac{1}{3}\pi (3^{2})(10)=30 \pi\ in^{3}$

therefore

The volume of the larger cone is equal to

$8*30 \pi\ in^{3}=240 \pi\ in^{3}$

3 0

3 years ago

Read 2 more answers

Hi. can you help me?

PIT_PIT [208]

Answer:

Sure

Step-by-step explanation:

First you need to ____

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7 0

3 years ago

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The graph of which of the following equation has x-intercept of 3 and 0 ?

Hatshy [7]

Answer:

From the given graph , The equation y = x² - 3 x has x-intercept of 3 , 0

Step-by-step explanation:

Given as :

Let The standard equation of line

y = m x + c

where m is the slope of line and c is y-intercept

For, x-intercept , put y = 0

For y-intercept , put x = 0

A) y = x + 3

for x-intercept , y = 0

So, 0 = x + 3

i.e x = - 3

B) y = x² + 3 x

for x-intercept , y = 0

So, 0 = x² + 3 x

i.e 0 = x² + 3 x

Or, x ( x + 3) = 0

Or, x = 0 , x = - 3

C) y = x² - 3 x

for x-intercept , y = 0

So, 0 = x² - 3 x

i.e 0 = x² - 3 x

Or, x ( x - 3) = 0

Or, x = 0 , x = 3

D) x = y² - 3 y

for x-intercept , y = 0

So, x = 0 - 0

i.e x = 0

Hence, From the given graph , The equation y = x² - 3 x has x-intercept of 3 , 0 Answer

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3 years ago

PPLZZZZ HELPP FAST!!!

Reptile [31]

Answer:

(-2, 1)

EXPLAIN:

use elimination method

7 0

3 years ago

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Solve the equation sin2x = 3cos2x. The value of x that satisfies the equation if x lies in the second quadrant is °. The value o

faltersainse [42]

Answer:

$126\degree$

and

$126\degree$

respectively.

Step-by-step explanation:

The given trigonometric equation is

$\sin2x=3\cos2x$

We divide both sides by $\cos2x$ to get,

$\frac{\sin2x}{\cos2x}=3$

This implies that,

$\tan2x=3$

We take the inverse tangent of both sides to get,

$2x=\tan^{-1}(3)$

$\Rightarrow 2x=71.565$

$\Rightarrow x=35.7825$

$\Rightarrow x\approx 36\degree$

Since the tangent ratio has a period of $180\degree$ , another solution is

$x=180+36$

$x=216\degree$ to the nearest degree.

In the third quadrant,

$2x=180+71.565$

$\Rightarrow 2x=251.565$

$\Rightarrow x=125.7825$

$\Rightarrow x=126\degree$

The solutions are

$x=36\degree,126\degree,216\degree$

The value of x that satisfies the equation if x lies in the second quadrant is $126\degree$

The value of x that satisfies the equation if x lies in the third quadrant is $216\degree$

5 0

3 years ago