Answer:
Step-by-step explanation:
Let us find the acceleration of box .
v² = u² + 2as
Putting the values
7² = 3² + 2 a x 14
a = 1.43 m /s²
If coefficient of friction be μ
force of friction = μ mg
= μ x 10 x 9.8
= 98μ
Net force pushing the box
= 85 - 98μ
Applying newton's second law
85 - 98μ = 10 x 1.43
98μ = 85 - 14.3
μ = .72
<h3>
<u>Given</u><u>:</u><u>-</u></h3>
- The hypotenuse of a right angle triangle is 13cm.
- One other side of the triangle is 1cm shorter than the hypotenuse.
<h3>
<u>To</u><u> </u><u>find</u><u> </u><u>out</u><u>:</u><u>-</u></h3>
Find the third scale of the triangle .
<h3>
<u>Solution:-</u><u> </u></h3>
Let the third Side be x.
According to the question,
★ Hypotenuse = 13 cm
★ Other side = Hypotenuse - 1 [ Given ]
= 13 cm - 1 cm
= 12 cm
Now,
<u>By pythagoras theorem</u>,
13² = 12² + x²
⇒ 169 = 144 + x²
⇒ x² = 169 - 144
⇒ x² = 25
⇒ x = √25
⇒ x = 5 cm
Hence, the third scale of the triangle is 5 cm.
Answer:
B
Step-by-step explanation:
The number of ways to choose a combination of 7 objects from a group of 15 objects is 15! / (7! 8!)
Answer: They are away for 
from home.
Step-by-step explanation:
Since we have given that
Time to get there = 
Time to get back =
Number of soccer games = 3
Time for each soccer games = 
So, total time for 3 games would be
So, the time for which they will be away from home is given by
Hence, they are away for from home.
I think when you subtract 4 from x, you are shifting the graph right horizontally 4 units. When you add 84 at the end of the function, you are shifting it up vertically 84 units. When you times it by -5, you are stretching it by a factor of 5 and flipping it upside down.
just think of how each term effects the y value.
