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3 years ago

15

Which list is in order from least to greatest? 50 points

1 answer:

Rudik [331]3 years ago

4 0

Answer:

the answer is 6/10, 5/8, 2/3

Step-by-step explanation:

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Find the surface area of the figure.<br> 3 m<br> m<br> 5 m<br> 7m

Diano4ka-milaya [45]

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Step-by-step explanation:

The measurement of area, perimeter, and volume is crucial to construction projects, crafts, and other applications. Area is the space inside the boundary of a two-dimensional shape. Perimeter is the distance around a two-dimensional shape such as a square or circle. Volume is a measure of the three-dimensional space taken up by an object, such as a cube. If you know the object's dimensions, then measurement of area and volume is easy. Surface area and volume formulas for all everyday geometric shapes can easily be found online, although it's not a bad idea to review how to derive these on your own should the need arise. You can also often get one of these from another; for example, if you know the formula for the area of a circle, you may be able to figure out that the volume of a cylinder is just the area of the associated circle(s) at the end times the cylinder's height.

3 0

3 years ago

mr_godi [17]

Answer:

$V = \frac{2L\sqrt{3}}{3} \pi}$

$A = 4\pi + \sqrt{3L^{2} + 16}$

Step-by-step explanation:

Figure of cone is missing. See attachment

Given

Radius, R = 2m

Let L = KL=LM=KM

Required:

Volume, V and Surface Area, A

<u><em>Calculating Volume</em></u>

Volume is calculated using the following formula

$V = \frac{1}{3} \pi R^{2} H$

Where R is the radius of the cone and H is the height

First, we need to determine the height of the cone

The height is represented by length OL

It is given that KL=LM=KM in triangle KLM

This means that this triangle is an equilateral triangle

where OM = OK = $\frac{1}{2} KL$

OK = $\frac{1}{2}L$

Applying pythagoras theorem in triangle LOM,

|LM|² = |OL|² + |OM|²

By substitution

L² = H² + ( $\frac{1}{2}L$ )²

H² = L² - $\frac{1}{4}L$ ²

H² = L² (1 - $\frac{1}{4}$ )

H² = L² $\frac{3}{4}$

H² = $\frac{3L^{2} }{4}$

Take square root of bot sides

$H = \sqrt{\frac{3L^{2} }{4}}$

$H = \frac{L\sqrt{3}}{2}$

Recall that $V = \frac{1}{3} \pi R^{2} H$

$V = \frac{1}{3} \pi 2^{2} * \frac{L\sqrt{3}}{2}$

$V = \frac{1}{3} \pi * 4} * \frac{L\sqrt{3}}{2}$

$V = \frac{1}{3} \pi} * {2L\sqrt{3}}$

$V = \frac{2L\sqrt{3}}{3} \pi}$

in terms of $\pi$ an d L where L = KL = LM = KM

<u><em>Calculating Surface Area</em></u>

Surface Area is calculated using the following formula

$H = \frac{L\sqrt{3}}{4}$

$A=\pi r(r+\sqrt{h^{2} +r^{2} } )$

$A=\pi * 2(2+\sqrt{((\frac{L\sqrt{3}}{2})^{2} +2^{2} } )$ )

$A=\pi * 2(2+\sqrt{{\frac{3L^{2}}{4} } + 4 }$ )

$A=\pi * 2(2+\sqrt{{\frac{3L^{2}+16}{4} } })$

$A=2\pi(2+\sqrt{{\frac{3L^{2}+16}{4} } })$

$A = 2\pi (2 + \frac{\sqrt{3L^{2} + 16}}{\sqrt{4}} )$

$A = 2\pi (2 + \frac{\sqrt{3L^{2} + 16}}{2} )$

$A = 2\pi (2 + {\frac{1}{2} \sqrt{3L^{2} + 16})$

$A = 4\pi + \sqrt{3L^{2} + 16}$

6 0

3 years ago

The lengths of the sides of a triangle are y, y+2, and 8 centimeters. If the perimeter is 34 centimeters, what is the value of y

Aleks04 [339]

Answer: 12

Step-by-step explanation:

OKAYOKAY so what I did was 34 - 8 = 26

then 26 - 2= 24

THEN I divided 24 in to 2 equal parts and got 12 so that means y = 12

Hope that helps!!! :}

7 0

3 years ago