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2 years ago

Find x. Answer choices 7 7√2 √14

Mathematics

1 answer:

3241004551 [841]2 years ago

3 0

Answer:

x=7

Step-by-step explanation:

This is a right triangle, we can use sin , cos, and tan

tan theta = opposite side/ adjacent

tan 45 = 7/x

Multiply each side by x

x tan 45 = 7/x *x

x tan 45 =7

Divide each side by 45

x tan 45 / tan 45 = 7/ tan 45

x = 7 / tan 45

x =7

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KATRIN_1 [288]

What is ur question?

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3 years ago

{ x - 3y= -3 & x + y= 5 We are to use the graph to solve the given system of equations, then enter your solution below. I ge

nasty-shy [4]

Answer:

Solution: (3, 2)

Step-by-step explanation:

It's easier to graph when the equation of the lines are in their slope-intercept form, y = mx + b.

x - 3y = -3

-3y = -x - 3

Divide both sides by -3:

$\frac{-3y}{-3} = \frac{-x - 3}{-3}$

y = 1/3x + 1

where slope = 1/3

y-intercept = 1

x + y = 5

Subtract x from both sides to isolate y:

x - x + y = - x + 5

y = -x + 5

where slope = -1

y-intercept, 5

I started by graphing the y-intercepts of each line. Then, I used the slope of each linear equation (rise over run) to plot the next points on the graph. In the attached screenshot of the graph, x - 3y = -3 is the blue line, while x + y = 5 is the green line. Their intersection occurs at point, (3, 2).

Therefore, the solution is (3, 2).

Please mark my answers as the Brainliest if you find my explanations helpful :)

5 0

2 years ago

What is the perimeter of parallelogram WXYZ

Kruka [31]

Graph? Or diagram? .................

8 0

2 years ago

Need help with a math question

Margaret [11]

Answer:

90 sq inches

Step-by-step explanation:

The lateral area is the side area of the pyramid. In this case, there are 3 sides because the base is a triangle. Since the base is an equilateral triangle, all sides are of equal dimensions. So, the sides of the pyramid are also all of the same size, area.

We then just have to figure out the area of one of the side triangles, then multiply it by 3 to get the total lateral area of that pyramid.

We know how to calculate the area of a triangle: A = (b * h)/2

In this case, b = 5 in, h = 12 in. So,

TA = (5 * 12)/2 = 60 / 2 = 30

Each side triangle has an area of 30 sq inches.

LA = 3 * TA (since there are 3 sides)

LA = 3 * 30 = 90 sq inches

8 0

3 years ago

A music store has 1,440 CDs. Each CD rack holds 90 CDs. How many racks does the store need to use to hold all the CDs?

Rufina [12.5K]

Answer:

16 cd racks

Step-by-step explanation:

1,440%90

6 0

2 years ago