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m_a_m_a [10]
3 years ago
14

Please solve the following questions!

Mathematics
1 answer:
polet [3.4K]3 years ago
7 0

Answer:

1.0.008

2.14.06988

3. 0.075

4.21.06

5.66.906

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Find the perimeter of a square whose area is 168cm square​
Elis [28]

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.

3 0
3 years ago
Read 2 more answers
What is the theoretical probability of rolling a number less than 5? Write the fraction, decimal and percent.
stealth61 [152]

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:

\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

\text{Probability}=\dfrac{4}{6}

\text{Probability}=\dfrac{2}{3}

In decimal form, it can be written as:

\text{Probability}\approx 0.67

In percentage form, it can be written as:

\text{Probability}=\dfrac{2}{3}\times 100

\text{Probability}\approx 66.67%

Therefore, the theoretical probability of rolling a number less than 5 in the fraction, decimal and percent are \dfrac{2}{3}, 0.67 and 66.67\% respectively.

8 0
3 years ago
A woman 5 ft tall walks at the rate of 7.5 ft/sec away from a streetlight that is 10 ft above the ground. At what rate is the ti
lesya [120]
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. 
8 0
3 years ago
How much tip should you leave if you want to tip 25% at PF Chang on a $37.99 bill ??​
Naddik [55]

Answer:

Step-by-step explanation:

37.99 * 25%= 9.497 or $9.50 tip

3 0
2 years ago
Is 4 5/12 a terminating or repeating decimal?
Vesnalui [34]

Answer:

repeating

Step-by-step explanation:

5/12 is 0.4166666 on and on forever. so it is repeating.

5 0
3 years ago
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