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andrew-mc [135]
3 years ago
14

A, B & C form the vertices of a triangle.

Mathematics
1 answer:
kirza4 [7]3 years ago
6 0
<h3>Answer:  20.3</h3>

Work Shown:

tan(angle) = opposite/adjacent

tan(B) = AC/AB

tan(67) = x/8.6

8.6*tan(67) = x

x = 8.6*tan(67)

x = 20.2603303460843  ... make sure your calculator is in degree mode

x = 20.3  .... rounding to 3 significant figures

see diagram below

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On paper, make a rectangle that has points A and B as two of its vertices and has a perimeter of 40 units. Draw and label the tw
Westkost [7]

Answer:

A(x,y),B(x+10,y),C(x+10,y-10) \:and\: D(x,y-10)

Step-by-step explanation:

If a Rectangle has a perimeter of 40 units, then we can write that formula and find the a formula for the coordinates:

\left\{\begin{matrix}w+l=20 & \\ w*l=100 & \end{matrix}\right.\Rightarrow w=20-l\Rightarrow (20-l)l=100\Rightarrow -l^2+20l-100=0\Rightarrow l^2-20l+100\Rightarrow (l-10)(l-10)\Rightarrow l=10\therefore l=10\: and\: w=10

Therefore we can say:

A(x,y),B(x+10,y),C(x+10,y-10) \:and\: D(x,y-10)

Technically when w=lin this rectangle is a square, a degenerate square.

8 0
3 years ago
Find the equation of the line that is perpendicular to the line 4x+2y=1 and passes through the point (-4,3)
serious [3.7K]

First find the slope of the given line:

4x +2y = 1

Subtract 4x from each side:

2y = -4x + 1

Divide both sides by 2:

y = -2x +1/2

The slope is -2.

Now use the slope to find the y-intercept. Because  the line is perpendicular, you need to use the negative inverse of the slope.

The negative inverse of -2 is 1/2

Now using the point-slope form y - y1 = m(x-x1)

Use the inverse slope for m, and the given point(-4,3) to get:

y - 3 = 1/2(x+4)

Simplify:

y - 3 = x/2 +2

Add 3 to each side:

y = x/2 + 5

Reorder the terms to get y = 1/2x +5

The answer is D.

5 0
4 years ago
Nick gets out of school at 2:25 pm he has a 15min ride home on the bus then goes on a 30 min bike ride then spends 55 min doing
klasskru [66]
Your answer to the question would be 4:05.
6 0
3 years ago
Can someone help me with this subtraction integers worksheet plzzzzzz.
Andre45 [30]

Answer:

sorry i can solve questions of level seven maybe I can help you with something else

Step-by-step explanation:

thank you!!!

7 0
3 years ago
Read 2 more answers
consider the line shown on the graph. enter the equation of the line in the form y=mx where m is the slope.
Amanda [17]

Answer:

y= 3x

Step-by-step explanation:

6 0
3 years ago
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