Answer:
51.84 cm
Step-by-step explanation:
Solution,
We have,
Area of the square= L²
According to question,
168 cm²= L²
√168 cm²= L²
√(12.96 cm)² = L
12.96 cm= L
Now,
We got,
Length of the square= 12.96 cm
By using the formula of perimeter of square,
We have,
Perimeter of square= 4L
=4×12.96 cm
=51.84 cm
Hence, the perimeter of square is 51.84 cm.
Given:
Rolling a fair dice.
To find:
The theoretical probability of rolling a number less than 5.
Solution:
The possible numbers of rolling a dice are 1, 2, 3, 4, 5, 6.
Total outcomes = 6
Numbers less than 5 are 1, 2, 3, 4.
Favorable outcomes = 4
Now, the theoretical probability of rolling a number less than 5 is:



In decimal form, it can be written as:

In percentage form, it can be written as:


Therefore, the theoretical probability of rolling a number less than 5 in the fraction, decimal and percent are
and
respectively.
Height of the woman = 5 ft
Rate at which the woman is walking = 7.5 ft/sec
Let us assume the length of the shadow = s
Le us assume the <span>distance of the woman's feet from the base of the streetlight = x
</span>Then
s/5 = (s + x)/12
12s = 5s + 5x
7s = 5x
s = (5/7)x
Now let us differentiate with respect to t
ds/dt = (5/7)(dx/dt)
We already know that dx/dt = 7/2 ft/sec
Then
ds/dt = (5/7) * (7/2)
= (5/2)
= 2.5 ft/sec
From the above deduction, it can be easily concluded that the rate at which the tip of her shadow is moving is 2.5 ft/sec.
Answer:
Step-by-step explanation:
37.99 * 25%= 9.497 or $9.50 tip
Answer:
repeating
Step-by-step explanation:
5/12 is 0.4166666 on and on forever. so it is repeating.