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2 years ago

What is the value of x? A. 6 B. 6 square root of 2 C. 12 D. 12 square root of 2

Mathematics

2 answers:

____ [38]2 years ago

8 0

You would use the sine function
sin(x)=opposite/hypotenuse
sin(45)=6√2/x (cross multiply)
x*sin(45)=6√2
x*√2/2=6√2 (multiply both sides by 2)
x*√2=12√2 (divide both sides by √2)
x=12 so C

Hope this helps

Aleksandr [31]2 years ago

6 0

C because 6 times 2 equals 12

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podryga [215]

Answer:

14 ft

Step-by-step explanation:

Focus on the triangle, and temporarily neglect the 2 ft measurement at the top of the triangle. Then the 2 legs of the triangle have lengths h - 2 ft and 5 ft, and the hypotenuse is 13.

Applying the Pythagorean Theorem, we get:

13^2 = (h - 2)^2 + 5^2, or

169 = h^2 - 4h + 4 + 25, or

144 = h^2 - 4h + 4, or

140 = h^2 - 4h, or, finally,

h^2 - 4h - 140 = 0. We must find the value of h.

I graphed this function on a calculator and found that -10 is a zero. Thus, the function factors into (h + 10)(h - 14) = 0, or h = 14.

The total height of the piece of plywood is 14 ft.

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3 years ago

HELP PRETTY PLEASE THIS IS URGENT NEED IN THE NEXT HOUR!!

zmey [24]

Answer:

(- 2, 6 )

Step-by-step explanation:

Given the equations

3x + 2y = 6 → (1)

$\frac{2}{3}$ y - x = 6 ( multiply through by 3 to clear the fraction )

2y - 3x = 18 ( add 3x to both sides )

2y = 18 + 3x → (2)

Substitute 2y = 18 + 3x into (1)

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6x + 18 = 6 ( subtract 18 from both sides )

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x = - 2

Substitute x = - 2 into (1) and solve for y

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2 years ago

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scZoUnD [109]

Answer:

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Step-by-step explanation:

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3 years ago

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sineoko [7]

Answer:

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1. It must be a Random sampling

2. It should be a Normal distribution

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Step-by-step explanation:

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3 years ago

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Choose the expression that would equal the number of hours in the following question.

Minchanka [31]

<span>B. 285/302. This is the correct answer because it is the only choice which is roughly the same ratio as 47.5/50.5 which is the ratio needed to determine how long it would take to go 47 1/2 miles in a car that averages 50 1/2 miles per hour. The mathematical equation which represents the problem is: 50.5/1 = 47.5/A (A = hours) which is the same as 50.5 A = 47.5 which means A = 47.5/50.5 which means A = .94 hours. 285/302 also equals .94.</span>

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3 years ago