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a_sh-v [17]
3 years ago
14

Explain how you can find the opposite of the opposite of any number without using a number line

Mathematics
1 answer:
liberstina [14]3 years ago
4 0
Just make that number negative to find the opposite but the opposite of the negative number is going to be the original number again.
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At a certain college, 28% of the students major in engineering, 18% play club sports, and 8% both major in engineering and play
Alex

Answers: 0.286

Explanation:

Let E → major in Engineering

Let S → Play club sports

P (E) = 28% = 0.28

P (S) = 18% = 0.18

P (E ∩ S ) = 8% = 0.08

Probability of student plays club sports given majoring in engineering,

P ( S | E ) = P (E ∩ S ) ÷ P (E) = 0.08 ÷ 0.28 = 0.286

8 0
3 years ago
A box is being pulled by two people. The ropes make angles of 40° and 55° with the direction of motion of the box. If the resu
Andrew [12]

Answer:

  • 575.6 N at 40°
  • 451.7 N at 55°

Step-by-step explanation:

Angles are measured from the direction of motion, so the "force made good" is the force in the rope multiplied by the cosine of the angle. If the forces in the ropes (in Newtons) are represented by x and y, then we have ...

  x·cos(40°) +y·cos(55°) = 700

In order for the resultant to be in the direction of motion, the forces perpendicular to the direction of motion must cancel.

  x·sin(40°) - y·sin(55°) = 0

Here, we have assumed that the positive direction for measuring 40° is the negative direction for measuring 55°. That is, the angles are measured in opposite directions from the direction of motion.

Any of the usual methods for solving systems of linear equations can be used to solve this set. My preference is to use a graphing calculator. It gives the answers summarized above.

4 0
4 years ago
Help me solve this urgently​
mario62 [17]

Answer:

x38

Step-by-step explanation:

8 0
3 years ago
Car A began a journey from a point at 9 am, traveling at 30 mph. At 10 am car B started traveling from the same point at 40 mph
Natasha2012 [34]
Let after t hours the distances D1<span> traveled by car A</span>

=> D1<span> = 30 t</span>

Car B starts at 10 am and will, therefore, have spent one hour less than car A when it passes it.

After (t - 1) hours, distance D2<span> traveled by car B </span>

=> D2<span> = 40 (t - 1)</span>

When car B passes car A, they are at the same distance from the starting point and therefore<span> D1 = D2 </span>

=> 30 t = 40 (t - 1)

Solve the equation for t,

=> 30 t = 40t - 40

=> 10 t = 40

=> t = 4

=><span> Car B passes car A at = 9 + 4 = 13 pm.</span>
7 0
3 years ago
In the figure, ∆ALM ≅ ∆BLM by Side-Angle-Side (SAS). Which angles are congruent by CPCTC?
Romashka [77]

Answer:

C. <em>L</em><em> </em>LAM = <em>L</em><em> </em>LBM

Step-by-step explanation:

__________

3 0
3 years ago
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