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2 years ago

NEED HELP ASAP!! find the measure of the angle.

Mathematics

2 answers:

Rufina [12.5K]2 years ago

8 0

Answer:

85 degrees

Step-by-step explanation:

Masteriza [31]2 years ago

3 0

Answer:

98 degrees

Step-by-step explanation:

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Given: R=2m

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

2 years ago

4/6 + 1/3 please help i need to get my grade up qwq

avanturin [10]

<h3>Answer: 1</h3>

Explanation:

1/3 is the same as 2/6

Imagine cutting a cake into thirds, then cutting each piece in two parts, so you'll have 6 pieces total. If you shade one third of the cake, then this is the same as shading 2/6 of a cake. The diagram shows this below.

Therefore 4/6 + 1/3 is the same as 4/6 + 2/6

At this point, we add the numerators over the common denominator

4/6 + 2/6 = (4+2)/6 = 6/6 = 1

Meaning we get a full cake since 4/6 is four slices and 2/6 is another two slices leading to 4+2 = 6 slices total out of the 6 overall.

4 0

2 years ago

I need help please . 2nd box is multiply choose.

love history [14]

Answer:

First box = 22.5, 45/2, or 22 and 1/2

Second box = square inches (because area is always ^2, or squared)

Step-by-step explanation:

A = B * H

B = base

H = height

Base = 5 inches

Height = 4.5 inches

5 inches * 4.5 inches = 22.5 inches^2

This can also be written as 45/2 or 22 and 1/2

I hope I helped!

Let me know if you need anything else!

~ Zoe

6 0

2 years ago

Julie was looking at the architect's blueprint of her house. The scale on the blueprint was inch = 1 foot. On the blueprint, wha

coldgirl [10]

12 inches by 16 inches

7 0

2 years ago

Find the value of 4th terms by using 3n-2

Serga [27]

10 is the answer I think

7 0

2 years ago

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