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3 years ago

Please help me answer this ASAP if u view it then u'll see the question properly

Mathematics

1 answer:

Vanyuwa [196]3 years ago

3 0

Answer:

1/6 sqrt(3) + 1/2

Step-by-step explanation:

(1 + sqrt(3))

------------------

sqrt(12)

Multiply the top and bottom by sqrt(12)

(1 + sqrt(3)) * sqrt(12)

------------------

sqrt(12)*sqrt(12)

sqrt(12) + sqrt(3) * sqrt(12)

------------------

Simplify

sqrt(4)sqrt(3) + 6

------------------------

2 sqrt(3) +6

--------------------

1/6 sqrt(3) + 1/2

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The perimeter of a certain soccer field is 310 m. The length is 65 m more than the width. What are the dimensions?

Dmitriy789 [7]

Answer:

50x105m

Step-by-step explanation:

310 (length of field) - 65-65= 200/4=50

Start with the perimeter subtract 65 twice because the length is on two sides. Now the length and width will be equal so divide by 4. Add 65 back because you subtracted it earlier.

3 0

3 years ago

A regular pentagon has an apothem of 7.3 inches and a perimeter of 53 inches. What is the area of the pentagon? Round your answe

zvonat [6]

Answer:

Area pf the regular pentagon is 193 $inch^{2}$ to the nearest whole number

Step-by-step explanation:

In this question, we are tasked with calculating the area of a regular pentagon, given the apothem and the perimeter

Mathematically, the area of a regular pentagon given the apothem and the perimeter can be calculated using the formula below;

Area of regular pentagon = 1/2 × apothem × perimeter

From the question, we can identify that the value of the apothem is 7.3 inches, while the value of the perimeter is 53 inches

We plug these values into the equation above to get;

Area = 1/2 × 7.3× 53 = 386.9/2 = 193.45 which is 193 $inch^{2}$ to the nearest whole number

3 0

4 years ago

Read 2 more answers

In a chemical plant, 24 holding tanks are used for final product storage. Suppose that six of the tanks contain high viscosity m

andriy [413]

Answer:

The probability is 0.461

Step-by-step explanation:

Since six tanks contain high viscosity material, it means that 18 does not contain since the total number of tanks is 24.

Now, here, we know that we are selecting a total of 4 tanks.

out of the tanks with high viscosity materials, we will be selecting one only while out of the others without viscosity materials we shall need selecting three.

Thus,

the number of ways we can select one tank with viscosity material from a total of six tanks will be 6C1 = 6 ways

Now, we want to select three from the remaining 18 tanks

The number of ways we can do this is 18C3 = 816 ways

Finally, we are selecting 4 out of 24 tanks.

The number of ways we can do this is 24C4 = 10,626 ways

Now, we proceed to calculate the probability.

Kindly note that we are selecting 1 from 4 and 3 from 18

The term ‘and’ in probability means we are multiplying the probabilities of these events together and thus, that means that we are going to combine our numbers of selections.

So the total number of ways in which we can select 1 out of 3 and 3 out of 18 will be = 6 * 816 = 4,896 ways

The probability would now be 4896/10626 = 0.461

5 0

4 years ago

Select the correct choice and fill in the box to complete your choice. pls help!!!

kipiarov [429]

Answer is Yes!! Hope this helps

4 0

3 years ago

2p - (p + 3) ÷ 3. For p = 6

Scilla [17]

Answer:

Step-by-step explanation:

We can plug the value p=6 into the equation.

2*6-(6+3)/3=

12-9/3=

12-3=

<em>I hope this helps! :)</em>

4 0

3 years ago

Read 2 more answers