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2 years ago

The bulletin board is in the shape of a square. Find two rational numbers that are within 1/8in. of the actual side length.

Mathematics

2 answers:

lisov135 [29]2 years ago

8 0

Answer:

And the answer may be 3/8 and 11/8 (among an infinite amount of different rational numbers less than 188 of the actual side length), as shwon below.

Explanation:

1) Calculate the side length of the bulletin board in the shape of a square:

The area of a square is equal to the square of length of the sides

A = x²

Substitute A = 150 unit²

150 = x²

Extract square root of both sides:

2) Find two rational numbers that are within, this is they are less than, 1/8 of the actual side length:

Since, 12² = 144 and 13² = 169, the square root of 150 is between 12 and 13.

Then, you can pick any two whole numbers less than 13 and multiple them by 1/8.

Remember that multiplying by 1/8 is the same that dividing by 8.

Choose 12 and 11, for instance, and two rational numbers that are less than 1/8 of the actual side length are 12/8 and 11/8.

12/8 can be simplified to 3/2 and 11/8 is in its simplest form.

Thus, two rational numbers that are within 1/8 of the actual side length of the bulletin board are 3/2 and 11/8.

Step-by-step explanation:

hope this helps if does mark brainllest pls! :)

iris [78.8K]2 years ago

5 0

Area:-150sq units

Side be a

Now

a²=150
a=√150
a=√2×3×5×5
a=5√6

Now

Scale factor=1/8

new side length:-

1/8(5√6)
5/8√6

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How does -1.125 + 1.2 = 0.075 instead of 0.925?

kenny6666 [7]

Answer:

.0075 (hope this help; let me know if not)

Step-by-step explanation:

The operation is + and the signs of the numbers are opposite so we have to subtract. The bigger number has positive sign in front if so we do 1.2-1.125=1.200-1.125

I'm going to line up

1.200

-1.125

---------

If you have 200 and you take about 125... 75 should beleft

1.200

-1.125

---------

0.075

6 0

3 years ago

Simplify each expression. <br>(4 - 2i) - (-3 + i)

PtichkaEL [24]

Answer:

2i - (-3 + i)

Step-by-step explanation:

I think this is it. Sorry if it's wrong

7 0

2 years ago

Read 2 more answers

What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer. Please round to the nearest

maksim [4K]

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

Given diagram is combination of Rectangle and Semi circle.

Step:1

Res the attachment,

Area of given diagram = Area of A + Area of B..............(1)

Step:2

For A,

The A section in the given diagram is semi circle,

Diameter of semi circle = Total distance - ( 2+3)

( ∵ 2, 3 are top distance in the given diagram)

$= 10 - 5$

Diameter, d = 5 cm

Radius, $r = \frac{d}{2}$

$r = \frac{5}{2}$

r = 2.5 cm

Area, $A_{A} = \frac {\pi r^{2} }{2}$ ........................(2)

$A_{A} = \frac {\pi (2.5)^{2} }{2}$

$= \frac {\pi ( 6.25) }{2}$

$= \frac{19.63}{2}$

$A_{A} = 9.8174 cm^{2}$

Step:3

For B,

Area of rectangle is,

$A_{B} =lb$ .....................(3)

Where, l - Length = 10 cm

b - Width = 2 cm

Equation (3) become,

$= (10)(2)$

$= 20$

Area of B, $A_{B}$ = 20 $cm^{2}$

Step:4

From the equation (1),

Area of given diagram = 20+ 9.81747

Area = 29.817 square centimeters

Result:

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

5 0

3 years ago

Use the table to answer the question.

Over [174]

Answer:

in the survey, 16 out of 80 students who where asked favored chicken nuggets.

so we need to calculate like this:

530 * 16/80

=530 * 1/5

=530/5

=106

hope this helps your understanding, wish you good grades

3 0

3 years ago

A manufacturing plant earned $80 per man-hour of labor when it opened. Each year, the plant earns an additional 5% per man-hour.

baherus [9]

A function that gives the amount that the plant earns per man-hour t years after it opens is $\mathrm{A}(\mathrm{t})=80 \times 1.05^{\mathrm{t}}$

<h3><u>Solution:</u></h3>

Given that

A manufacturing plant earned $80 per man-hour of labor when it opened.

Each year, the plant earns an additional 5% per man-hour.

Need to write a function that gives the amount A(t) that the plant earns per man-hour t years after it opens.

Amount earned by plant when it is opened = $80 per man-hour

As it is given that each year, the plants earns an additional of 5% per man hour

So Amount earned by plant after one year = $80 + 5% of $80 = 80 ( 1 + 0.05) = (80 x 1.05)

Amount earned by plant after two years is given as:

$=(80 \times 1.05)+5 \% \text { of }(80 \times 1.05)=(80 \times 1.05)(1.05)=80 \times 1.052$

Similarly Amount earned by plant after three years $=80 \times 1.05^{t}$

$\begin{array}{l}{\Rightarrow \text { Amount earned by plant after } t \text { years }=80 \times 1.05^{t}} \\\\ {\Rightarrow \text { Required function } \mathrm{A}(t)=80 \times 1.05^{t}}\end{array}$

Hence a function that gives the amount that the plant earns per man-hour t years after it opens is $\mathrm{A}(t)=80 \times 1.05^{t}$

5 0

3 years ago