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3 years ago

A rectangular carpet measures 12 m by 5 m.

Mathematics

1 answer:

Zepler [3.9K]3 years ago

8 0

Answer:

$\frac{1}{15}$

Step-by-step explanation:

Area of the Rectangular Carpet=12*5=60m²

Area of the Square rug=2*2=4m²

Expressing the area of the rug as a fraction of the total area of the carpet, we have:

$\frac{\text{Area of Rug}}{\text{Area of Carpet}}=\frac{4}{60}\\=\frac{1}{15}$ .

The fraction of the carpet that is covered by the rug is $\frac{1}{15}$ .

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Is the following relation a function?<br><br> A. Yes<br> B. No

11Alexandr11 [23.1K]

Answer:

a. yes

Step-by-step explanation:

for every input the should be one and only one output, so this is a function

4 0

2 years ago

A regular hexagon is circumscribed about a circle with a radius of 6. Find the area of the shaded region shown. Give the exact a

Alecsey [184]

Answer:

19.58 unit²

Step-by-step explanation:

To find the area of the shaded region, we use the formula:

$A_{shaded}=A_{circle} - A_{hexagon}\\\\$

As we know that,

$A_{circle} = \pi r^2$ = $\pi 6^2$

=36πunit²

Next is to split up the hexagon into 6 regular triangles.

$A_{hexagon} = 6. A_{triangle}$

=6 x $\frac{1}{2} bh$

the base is equal to the radius i.e 6 as the triangles are regular.The height can be represented by taking one of the triangles and drawing a line down the middle.

So, the newly formed triangle is a 30°-60°90° right triangle.

(see figure 1 in attachment)

Here, a= 6/2=> 3

h= a√3 => 3√3

Substituting the required values in the formula of area of hexagon, we get

$A_{hexagon}= 6.\frac{1}{2}.6.3\sqrt{3}$ => 54√3unit²

$A_{shaded}=A_{circle} - A_{hexagon}\\\\$

=36π-54√3

= 19.58 unit²

4 0

3 years ago

Why does the value of money in a savings account increase over time? A. because it earns interest B. because future value is alw

vodka [1.7K]

Answer:

A. because it earns interest

Step-by-step explanation:

The interest rate is the gaining that you make for keeping your money in the bank. Suppose you have $100 and the bank offers you a 5% annually interest rate. The rate (5%) means that your money will earn five percent of the value each year, so after the first year you will earn (5%)*($100) = $5 of interest just for keeping your money in your savings account. Therefore, your money will grow overtime because it is earning interest. Remember that interest can be compound (over periods) or simple (like our example).

8 0

2 years ago

Read 2 more answers

a certain triangle has a perimeter of 3067 mi. the shortest side measures 71 mi less than the middle side and the longest side m

UkoKoshka [18]

Answer:

The measure of the shortest side is 851 miles

Step-by-step explanation:

Let

x ----> the measure of the shortest side

y ---> the measure of the middle side

z ---> the measure of the longest side

we know that

The perimeter of triangle is equal to

$P=x+y+z$

$P=3,067\ mi$

$3,067=x+y+z$ ----> equation A

the shortest side measures 71 mi less than the middle side

$x=y-71$ ----> equation B

the longest side measures 372 mi more the the middle side

$z=y+372$ ----> equation C

substitute equation B and equation C in equation A

$3,067=(y-71)+y+(y+372)$

solve for y

$3,067=3y+301\\3y=2,766\\y=922$

Find the value of x

$x=y-71\\x=922-71\\x=851$

therefore

The measure of the shortest side is 851 miles

6 0

2 years ago

Mrs. Carter baked 100 muffins for a bake sale. The muffins were sold in packages in 2. There were 12 muffins left. Write an equa

krek1111 [17]

100 muffins, and 2 in each packages. Therefore, there are 50 packages. However, at the end, there are 12 left, so there must have been 6 packages left. (12/2) 50-6=44. 44*2=88 so 88 muffins were bought.

6 0

2 years ago