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Contact [7]
3 years ago
7

Find the value of x and the value of y

Mathematics
1 answer:
serg [7]3 years ago
8 0

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

use Cos for y .... b/c we see that function above has all the pieces we are going to work with

use Sin for x .. for the same reason above

Cos(30) = y / 4\sqrt{2}

4\sqrt{2}Cos(30) = y

4\sqrt{2}\sqrt{3}/2 = y

2\sqrt{6} = y

leave the answer for y like that.. it's in  'exact" form

now for x

Sin(30) = x / 4\sqrt{2}

4\sqrt{2}Sin(30) = x

4\sqrt{2}* 1/2 = x

2\sqrt{2} = x

and leave your answer for x like that as it's in it's exact form.  :)

oh and I see the answer in the list.. do you?  :)

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Answer:

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Step-by-step explanation:

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So 11.2 meters = 11.2 *2 = 22.4 cms  (answer).

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3 years ago
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Look at the picture! Express the following set in set-builder notation ?
Alex

Answer:

A.   E={x|x\in N and x is a multiple of 8}

Step-by-step explanation:

Let x represent the set of natural numbers. Then we can write;

x\in N.

The set of all natural numbers that are multiples of 8 is then written as;

x\in N and x is a multiple of 8.

E is the set of natural numbers that are multiples of 8 can then be written in set builder notation as;

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7 0
3 years ago
One angle of a triangle has a measure of 66 degrees the measure of the third angle is 57 more than 1/2 of the measure
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Mary used one big bag of flour. She baked four loaves of bread.​ Then, she used the remaining flour to make 48 muffins. How much
algol [13]

Answer:

Amount of flour in the bag when Mary​ began = 4x+48y

Step-by-step explanation:

Given:

Number of baked loaves of bread made from flour = 4

Number of muffins made from flour = 48

To find: Amount of flour in the bag when Mary​ began

Solution:

Let x denotes amount of flour used to make one baked loave of bread and y denotes amount of flour used to make one muffin.

So,

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Amount of flour in the bag when Mary​ began = 4x+48y

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