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3 years ago

Which solution finds the value of x in the triangle below? HELP!

Mathematics

2 answers:

Vinvika [58]3 years ago

3 0

8 is the hypotenuse and x is the adjacent side to the 60-degree angle. This means that you would need cosine (adjacent over hypotenuse) or secant (hypotenuse over adjacent). Cosine is not an option so it's secant.

sec 60 degrees = 8/x

Next, in a 30 60 90 triangle, you know that the side lengths are 1, 1/2 and sqrt(3)/2. So the secant of 60 degrees is 1 divided by 1/2 which is 2.

So the answer is the first question: x = 4

Kipish [7]3 years ago

3 0

We have the angle of 60°
x is the adjacent leg to the angle of 60°
and 8 is the hypothenuse
Then we must use a function that relates the adjacent leg with the hypothenuse. We have two options: cosine or secant. We don't have in the options cosine, then we must use secant.

sec 60°= hypothenuse / Adjacent leg
sec 60"=8 / x; sec 60°=2
2=8 / x
2x=8
x=4

Answer: First option

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A linear function h(x) is represented by the equation 4x - 2y = 4 . What is the y-intercept of the function? Write the solution

irina [24]

4x-2y = 4

= -2y = 4-4x

= y = (4x + 4)/ 2

y = 2x - 2

h(x) = 2x-2

To find y-intercept, find h(0)

= 2(0) - 2 => -2

Y-intercept = (0,-2)

6 0

3 years ago

Please answer fast, it's important... Q) find the volume of cube whose dimensions are (x+7y), (7x-y) and (xy-5).

Alona [7]

Answer:

$Volume = 7x^3y+48x^2y^2-7xy^3 -35x^2-240xy-35y^2$

Step-by-step explanation:

Given

Shape: Cube

Dimension: (x+7y), (7x-y) and (xy-5).

Required

Determine the volume

The volume is calculated by multiplying the dimensions:

$Volume = (x+7y) * (7x-y) * (xy-5)$

Evaluate the first 2 brackets

$Volume = [x(7x-y)+7y(7x-y)] * (xy-5)$

$Volume = [(7x^2-xy)+(49xy-7y^2)] * (xy-5)$

$Volume = [7x^2-xy+49xy-7y^2] * (xy-5)$

$Volume = [7x^2+48xy-7y^2] * (xy-5)$

Open brackets

$Volume = xy[7x^2+48xy-7y^2] -5[7x^2+48xy-7y^2]$

$Volume = 7x^3y+48x^2y^2-7xy^3 -35x^2-240xy-35y^2$

8 0

3 years ago

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Sloan [31]

What’s it asking for ?

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3 years ago

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Triangle EFG has vertices E(-3,1), F(1,1), and G (4,5). Find the coordinates of the image of point F after a reflection across t

timofeeve [1]

Answer:

(1,-1)

Step-by-step explanation:

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3 years ago

It’s asking for the area<br> Please help me! Thank you!

Sliva [168]

<h3>Answer: x^2+9x+8</h3>

==============================================================

Explanation:

With many math problems, a good strategy is to break things down into smaller pieces. In this case, we need to find the area of each individual smaller rectangle

A = blue rectangle area = length*width = x*x = x^2

B = purple rectangle area = length*width = x*1 = x

C = green rectangle area = length*width = 8*x = 8x

D = orange rectangle area = length*width = 1*8 = 8

Add up A through D to get the overall area of the entire or largest rectangle possible

total area = A+B+C+D = x^2+x+8x+8 = x^2+9x+8

notice how x+8x turns into 9x. You can think of it as 1x+8x = (1+8)x = 9x

This is because x and 8x are like terms which can be combined. Everything else is left as is.

Because we don't know what number goes in place for x, we cannot simplify or evaluate x^2+9x+8 any further.

4 0

4 years ago