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3 years ago

Consider the following used to find the volume of a cone

Mathematics

1 answer:

Marta_Voda [28]3 years ago

5 0

You need to list the options/ “following” otherwise you most likely won’t get an answer or a right one at least

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IB QUESTIONS:

enyata [817]

Step-by-step explanation:

Using SOHCAHTOA

$\tan = \frac{opposite}{adjacent} \\ \tan {31}^{0} = \frac{450}{x} \\ \tan {31}^{0} = 0.6009 \\ 0.6009 = \frac{450}{x} \\ cross \: multiply \\ 0.6009x = 450 \\ divide \: both \: sides \: by \: 0.6009 \\ x = \frac{450}{0.6009}x \\ = 748.9$

Second Question Explanation:

a. The base angles of an isosceles triangle are equal so angle ABC is also 32°

but the sum of angles in a triangle = 180° therefore

let angle CAB be x

${32}^{0} + {32}^{0} + {x}^{0} = {180}^{0} \\ 64 + x = 180 \\ {x}^{0} = 180 - 64 \\ {x}^{0} = {116}^{0}$

b. If you share a triangle in half you get 2 right angles so I'll use SOHCAHTOA to find the length AB

First the base of the right angled triangle will be 20/2 = 10

$\cos = \frac{adjacent}{hypotenuse} \\ \cos {32}^{0} = \frac{10}{ab} \\ \cos32 = 0.8480 \\ 0.8480 = \frac{10}{ab} \\ ab = \frac{10}{0.8480} \\ line \: ab = 11.8$

c. To find the are we'll need to get the height first

using the right angled triangle With base 10cm and hypotenuse 11. 8 to find the height we'll use the Pythagorean theorem

${(11.8)}^{2} = {x}^{2} + {10}^{2} \\ 1324.24 = {x}^{2} + 100 \\ {x}^{2} = 139.24 - 100 \\ {x}^{2} = 39.24 \\ \sqrt{ {x}^{2} } = \sqrt{39.24} \\ x = \sqrt{39.24 } \\ x = 6.3$

now to find the area

$area \: of \: triangle = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 20 \times 6.3 \\ \frac{20 \times 6.3}{2} \\ = \frac{126}{2} \\ 63 {cm}^{2}$

4 0

3 years ago

Which of the following sets of numbers could be the lengths of the sides of a triangle?

katrin2010 [14]

A 7.4cm, 10.5cm, 15.5 cm

5 0

3 years ago

Idk if someone wants to help to solve this but- it’s worth a try I think it’s 15 points or so and I’ll mark brainliest to first

Anastaziya [24]

Answer:

Part 3: 9 Dogs

Step-by-step explanation:

It says that the ratio they want you to put it in is dogs/students, so dogs are x, and students are y, so if there are 4 students for every dog, 36 students would require 9 dogs

And if the roles were switched it would be students x, dogs y, and there would be 9 students for 36 dogs :D

3 0

3 years ago

Can someone please help on 11&12?

Svet_ta [14]

# 12 should be the last one

8 0

3 years ago

Please explain to me how to find y. I’m so confused.

koban [17]

Every triangle angles add up to 180.

So because one angle is 90 degrees you would subtract it from 180 to get 90 and then divide it by two which is 45 degrees.

Hope this helps, have a nice day! :)

7 0

3 years ago