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Lorico [155]
3 years ago
11

What is the similarity ratio of the smaller to larger similar cones?

Mathematics
2 answers:
Flura [38]3 years ago
6 0

V=1024 pi m^3 and v=250 pi m^3
the similarity ratio of the smaller to larger similar cones is 
k= V/v=1024 pi m^3/250 pi m^3= 4.096
the great cone is 4.096 times of the small cone (in volume)
Vlad1618 [11]3 years ago
3 0

Answer: We get that the volume of larger cone is 4.096 times the volume of smaller cone.

Step-by-step explanation:

Since we have given that

Volume of large cone = 1024π m³

Volume of smaller cone = 250 π m³

We need to find the relation between the volume of larger and smaller one.

So, Ratio of volume of larger one to volume of smaller one.

\dfrac{\text{Volume of larger one}}{\text{Volume of smaller one}}=\dfrac{1024\pi}{250 \pi}=4.096

So, we get that the volume of larger cone is 4.096 times the volume of smaller cone.

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Write an expression for the product of z and 113, minus 300.
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Answer:

z*113 -300

Step-by-step explanation:

(z*113) -300

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Shya works part-time at a gift-wrapping. The store sells wrapping paper rolls and package of wrapping rolls. There are a total o
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Find u, v , u , v , and d(u, v) for the given inner product defined on Rn. u = (0, −4), v = (5, 3), u, v = 3u1v1 + u2v2
tigry1 [53]

Answer:

=-12

d(u,v)=2\sqrt{31}

Step-by-step explanation:

We are given that inner product defined on R_n

=3u_1v_1+u_2v_2

u=(0,-4),v=(5,3)

We have to find the value of <u,v> and d(u,v)

We have u_1=0,u_2=-4,v_1=5,v_2=3

Substitute the value then we get

=3(0\cdot5)+(-4)(3)=-12

Now, d(u,v)=\left \|v-u\right \|

Using this formula we get

d(u,v)=\left \| (5,7) \right \|=\sqrt{3(5)^2+(7)^2}=\sqrt{75+49}=\sqrt{124}

d(u,v)=2\sqrt{31}

7 0
3 years ago
what is the slope of a 5-foot high platform that begins at ground level 10 feet from the base of the platform?​
Sladkaya [172]

Answer:

11.2 feet

Step-by-step explanation:

Given: Height of platform (Opposite)= 5 foot

            Distance of slope from the base of platform (adjacent)= 10 feet

Picture drawn to show the measurement.

Lets find the length of slope.

Using the Pythagorean theoram.

hypotenous^{2} = opposite^{2} + adjacent^{2}

Subtituting the value in the formula.

hypotenous^{2} = 5^{2} + 10^{2}

⇒ hypotenous^{2} = 25 + 100

⇒ hypotenous^{2} = 125

Putting square root on both side

We know, √a²= a

⇒ hypotenous = \sqrt{125}

∴ hypotenous= 11.18 \approx 11.2 \ feet

Hence, the slope is 11.2 feet

8 0
3 years ago
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