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svp [43]
3 years ago
15

(Geometry A) Review Of Reasoning And Proof Quiz

Mathematics
2 answers:
Ne4ueva [31]3 years ago
8 0
1. If it is not raining, then I will not carry an umbrella. 
2. If two perpendicular lines do not intersect, then they do not form four 90° angles. 
3. If  <EAD is 80°, then that means <DAB is 100°, because they equal 180°.
4. A pair of congruent angles are <EAC and <DAB
alekssr [168]3 years ago
8 0

1. c If it is not raining, then I will not carry an umbrella.

2.a Two intersecting lines are perpendicular if an only if they form four 90 degree angles.

3.a DAB and EAD are supplementary.

4.c FBY; GBX

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A force of 12 lb is required to hold a spring stretched 8 in. beyond its natural length. How much work W is done in stretching i
sattari [20]

Answer:

Work done in stretching the spring = 7.56 lb-ft.

Step-by-step explanation:

Normal length of the spring = 8 in or \frac{8}{12} ft

= \frac{2}{3} ft

If the spring has been stretched to 11 inch then the stretched length of the spring is = 11 in

= \frac{11}{12} ft

Force applied to stretch the spring = 12 lb

By Hook's law,

F = kx [where k is the spring constant and x = length by which the spring is stretched]

12 = k(\frac{2}{3})

k = 18

Work done (W) to stretch the spring by \frac{11}{12} ft will be

W = \int\limits^\frac{11}{12} _0 {kx} \, dx

    = \int\limits^\frac{11}{12} _0 {(18x)} \, dx

    = 18[\frac{x^{2}}{2}]^{\frac{11}{12}}_0

    = 9(\frac{11}{12})²

    = 7.56 lb-ft

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3 years ago
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BlackZzzverrR [31]
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2 years ago
Which of the following statements is not true?
I am Lyosha [343]
I think B isn’t true
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3 years ago
When looking at the median of a data set, what information do you get when looking at the median?
cestrela7 [59]
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7 0
3 years ago
Malachy rolls a fair dice 168 times.
baherus [9]

Answer:

28 times

Step-by-step explanation:

On a fair die, the probability of rolling a 6, the only number greater than 5, is 1/6. So in 168 rolls of this die, Malachy can expect a 6 on 1/6 × 168, or 28 times.

8 0
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