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pentagon [3]
2 years ago
7

Mrs.Storz is driving at 48.5 mph for 1.2 hours. What will be the distance travelled by Mrs.Storz?

Mathematics
1 answer:
Anna35 [415]2 years ago
7 0

Answer:

58.2

Step-by-step explanation:

48.5*1.2=58.2

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A signalized intersection has a cycle length of 60 seconds and an effective red time of 25 seconds. The effective green time is
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effective green time = 35 seconds

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given data

cycle length = 60 seconds

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solution

we get here  effective green time that is express as

effective green time = cycle length  - effective red time   ...........................1

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3 0
3 years ago
A parallelogram has sides of 18 and 26 ft, and an angle of 39° . Find the shorter diagonal
Fed [463]

Answer:

16.51

Step-by-step explanation:

In a parallelogram, the opposite angles are always equal in measure. So two of the angles in the parallelogram measure 39 degrees each.

The sum of angles of the parallelogram must be 360 degrees. Let the other two angles be x degree each. We can set up the following equation for the angles:

39 + 39 + x + x = 360

78 + 2x = 360

2x = 282

x = 141

This means, the other two angles measure 141 degree each. The shorter diagonal will be opposite to the shorter angle.

Hence, the diagonal opposite to the angle 39 degree will be the shorter one. A diagonal divides the parallelogram in two triangles. So we will have two sides and an included angle and we have to find the third side of the triangle which can be found using the law of cosines. Let the third side be c as shown in image below, using the law of cosines, we can write:

c^{2} = a^{2}+ b^{2} -2ab cos(\gamma)\\\\c^{2}=18^{2}+26^{2}-2(18)(26)cos(39)\\\\ c^{2}=272.59\\\\ c=16.51

Thus the shorter diagonal will be 16.51 feet in measure.

3 0
3 years ago
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