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n200080 [17]
2 years ago
10

How do I find x on the attached right triangle ?

Mathematics
1 answer:
ioda2 years ago
4 0

The value of x from the given triangle is 32√3/3

<h3>SOH CAH TOA identity</h3>

In order to determine the value of x, first we need to determine the hypotenuse side of the smaller triangle.

sin 60 = 8√2/H

H = 8√2/sin60

H = 8√2 * 2/√3

H = 16√2/√3
H = 16√6/3

For the value of x, we will use the expression

sin45 = (16√6/3)/x

1/√2 = 16√6/3x
3x = 16√12
3x = 32√3

x = 32√3/3

Hence the value of x from the given triangle is 32√3/3

Learn more on SOH CAH TOA here: brainly.com/question/20734777

#SPJ1

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The sum of four consecutive integers is 166. Find the largest of the numbers if the smallest is z.
hjlf
4 consecutive integers...z, z + 1, z + 2, z + 3

z + (z + 1) + (z + 2) + (z + 3) = 166...combine like terms
4z + 6 = 166
4z = 166 - 6
4z = 160
z = 160/4
z = 40

z + 1 = 40 + 1 = 41
z + 2 = 40 + 2 = 42
z + 3 = 40 + 3 = 43

so ur numbers are : 40,41,42,43 with the largest being 43
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Answer: i think it is about 3.6%


Step-by-step explanation:


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3 years ago
The quadratic function y = –10x2 + 160x – 430 models a store’s daily profit (y) for selling a T-shirt priced at x dollars. What
asambeis [7]

Answer:

x = 4 or x = 12

Step-by-step explanation:

Given:

y = -10x² + 160x - 430

When y = $50

50 = -10x² + 160x - 430

50 + 430 = -10x² + 160x

480 = -10x² + 160x

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Solve the quadratic equation using factorization method

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Therefore,

-12 and -4 are both factors

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x - 4 = 0

x = 4

OR

x - 12 = 0

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3 years ago
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