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klio [65]
1 year ago
9

A square has a diagonal length of 5 cm. The area of the squareiscm2. Round answer to the nearest tenths ifneeded.

Mathematics
1 answer:
Whitepunk [10]1 year ago
6 0
\begin{gathered} \text{Diagonal}=5\operatorname{cm} \\ \text{Area}=\frac{D^2}{2} \\  \\ \text{Area}=\frac{(5cm)^2}{2} \\  \\ \text{Area}=\frac{25\operatorname{cm}^2}{2} \\  \\ \text{Area}=12.5\operatorname{cm}^2 \\ \text{The area of the square is 12.5 cm }^2 \end{gathered}

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When two-fifths of a number is increased by 15 the result is 27. What is the number?
user100 [1]

Answer:

x = 30

Step-by-step explanation:

Let's set up an equation to represent this problem:

2/5 * x + 15 = 27

subtracting 15 from both sides,

2/5 * x = 12

Multiplying 5/2 to both sides,

5/2 * 2/5 * x = 12 * 5/2

1*x = 30

x = 30

7 0
3 years ago
One and two third minus tow and one third?
statuscvo [17]

Answer:

-2/3

Step-by-step explanation:

Step 1: Write out expression

1 2/3 - 2 1/3

Step 2: Convert to improper fractions

5/3 - 7/3

Step 3: Subtract

-2/3

8 0
3 years ago
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Step-by-step explanation:

6 0
4 years ago
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you are asked to size the diameter of a bolt loaded in shear to the nearest 1/8 inch with a factor of safety of 1.5. you find th
kupik [55]

Answer:

2.375 inches

Step-by-step explanation:

<u>Main Steps</u>

1. Identifying important parts of the question

2. Solving the problem

<u>Step 1. - Identifying important parts of the question</u>

In the question, there is some extraneous information.  For instance, the question introduces the terms "diameter" and "loaded in shear" and "with a safety factor of 1.5".  However, given the information in the problem, and the question asked, it isn't necessary to know that it is "loaded in shear" means, or to know what a diameter is (since everything stays with diameters, and doesn't involve another dimension), and the problem gives the result that will satisfy "a safety factor of 1.5".

<u>Sifting through the problem/question, these are the important parts:</u>

- "to the nearest 1/8 inch" (meaning round to the nearest 1/8th of a unit)

- with "units of inches to 3 decimal places"

- The number to round is "2.4183 inches

<u>Step 2. - Solving the Problem</u>

To round to the nearest 1/8 inch, we can divide the number 2.4183 by 1/8.  

2.4183 \div(1/8)

Recall that dividing by a fraction is the same as multiplying by the reciprocal

2.4183 * 8

19.3464

So, there are approximately 19, one-eighth-inches in the measurement.  (Note that 19.3464 is closer to 19 than it is to 20).  To find the final rounded measurement, multiply 19 by 1/8

19 * (1/8)

2.375 inches

So, the diameter of the bolt that should be used (if rounded to the nearest 1/8 inch, to allow for a factor of safety of 1.5) is 2.375 inches

5 0
1 year ago
What is 5 1/6 converted into an improper fraction
Veronika [31]

Answer:

\frac{31}{6}

Step-by-step explanation:

5*6=30

30+1=31

31/6

Hope this helps! :)

4 0
3 years ago
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