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Art [367]
3 years ago
8

The sides of a parallelogram are 40 and 70 feet long,and the smaller angle has a measure of 36.Find the length of the longer dia

gonal to the nearest whole number
Mathematics
1 answer:
Mumz [18]3 years ago
3 0

Answer:

105 feet.

Step-by-step explanation:

The longer diagonal is opposite the longer angle in the parallelogram.

The longer angle = 180 - 36 = 144 degrees. (Reason: he same side angles  are supplementary).

So, by the law of cosines:

x^ 2 = 40^2 + 70^2 - 2*40*70 cos 140    where x = the diagonal.

x^2 =  11030.50

x = 105.03 feet.

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What polygon is formed when 2 equilateral triangles that are congruent and share a side
zalisa [80]

You form a rhombus.

Draw an equilateral triangle, and then mirror it around its base. All the sides are clearly equal, because they are all sides of the same equilateral triangle.

Moreover, the top and bottom angle are 60°, because they are angles of an equilateral triangle, while the left and right angles are 120, because they're 60+60 angles.

7 0
3 years ago
Which of the following describes the graph of 2x + 4y < 16?
kherson [118]
<h3>Answer: A) Dashed line, shaded below</h3>

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

Explanation:

2x + 4y < 16 solves to y < -0.5x+4 when you isolate y. The inequality sign does not change direction because we divided both sides by a positive value (in this case, 4).

The graph of y < -0.5x+4 will be the same as the graph of 2x+4y < 16

To graph y < -0.5x+4, we graph y = -0.5x+4 which is a straight line that goes through the two points (0,4) and (2, 3). This is the boundary line of the inequality shaded region. The boundary line is a dashed line because we are not including points on the boundary that are part of the solution set. We only include these boundary points if the inequality sign has "or equal to".

We then shade below the dashed boundary line to indicate points below the boundary line. The shading is done downward due to the "less than" sign.

---------------------

Perhaps another method to find what direction we shade is we can try out a point like (0,0). The point cannot be on the boundary line.

Plug those coordinates into either equation. I'll pick the second equation

y < -0.5x+4

0 < -0.5*0+4

0 < 0+4

0 < 4

The last inequality is true, so the first inequality is also true when (x,y) = (0,0). Therefore, the point (0,0) is in the shaded region. The point (0,0) is below the boundary line y = -0.5x+4

So this is another way to see that the shaded region is below the boundary line.

6 0
2 years ago
How do I solve this?
Norma-Jean [14]

Answer:

Step-by-step explanation:

Base = 25 ft

height = 8 ft

Area of triangle = \frac{1}{2}*base * height\\\\

                           = \frac{1}{2}*25 *8\\\\= 25 * 4\\\\= 100 ft^{2}

7 0
2 years ago
Read 2 more answers
To convert 12 yards to inches, you would use the ratio .36inches/1 yard true or false ?
Taya2010 [7]
False. It's 36 not .36 and you would just do 12x36 since 36 inches is 1 yd. But if you want to make it complicated just do 12/1 times 36/1 which still equals 432.
8 0
3 years ago
At a local Brownsville play production, 420 tickets were sold. The ticket
Dahasolnce [82]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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