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2 years ago

A construction worker is building a wall. The wall is

Mathematics

2 answers:

9966 [12]2 years ago

4 0

Answer:

Step-by-step explanation:

First, convert 20 yds to 60 ft. and then from 60 ft to 720 in.

Use the formula for the nth term of an arithmetic sequence:

l = a + (n-1)d:

Here l = 720 ft, and a = 0. The common difference, d, is 16 in. Our task is to determine how many studs are needed.

Substituting the knowns, we get 720 = 0 + (n - 1)(16), which simplifies to:

720 = (n-1)(16).

Divide both sides by 16 to isolate (n-1): 45 = n - 1.

Adding 1 to both sides results in 46 = n.

46 studs total are needed; if the worker has already placed the first stud, then 45 additional studs are needed.

damaskus [11]2 years ago

3 0

I believe it is 45 studs to the end of the wall

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Zinaida [17]

Answer: 43.988

Step-by-step explanation: The formula for the circumference of a circle is the diameter multiplied by pi. Since the diameter is 14 and it is telling us to use 3.142 as pi, we can multiply the two and get the answer.

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2 years ago

Simplify 5^2•(4+2^3)

Marta_Voda [28]

Remember to follow PEMDAS, and left -> right rule.

First, solve the Parenthesis:

(4 + 2^3)

Solve the exponent.

2^3 = 2 x 2 x 2 = 4 x 2 = 8

4 + 8 = 12

_______________________________________________________________

(5^2) x (12)

5^2 = 5 x 5 = 25

25 x 12

_______________________________________________________________

Multiply

25 x 12 = 300

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300 is your answer

________________________________________________________________

<em>~Rise Above the Ordinary</em>

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Nutka1998 [239]

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Step-by-step explanation:

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SVEN [57.7K]

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3 years ago

Mary crocheted a rectangular blanket whose diagonal measures approximately 7.21 feet. What are the most likely length and width

mote1985 [20]

Answer:

If both sides are integers, one side will be 4 feet and the other will be 6 feet. The other solution is the symmetrical solution (4 feet instead of 6 feet, and 6 feet instead of 4 feet).

Step-by-step explanation:

We have a rectangular blanket, that has a diagonal that measures h=7.21 feet.

The two sides of the rectangle a and b can be related to the diagonal h by the Pithagorean theorem:

$a^2+b^2=h^2$

Then, we can express one side in function of the other as:

$a^2+b^2=h^2\\\\a^2=h^2-b^2\\\\a=\sqrt{h^2-b^2}=\sqrt{7.21-b^2}=\sqrt{52-b^2}$

Then, if we define b, we get the value of a that satisfies the equation.

A graph of values of a and b is attached.

If both side a and b are integers, we can see in the graph that are only two solutions: (b=4, a=6) and (a=4, b=6).

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2 years ago