Task E

Find the circumference of the circle with radius 28 cm.<br><br>

Artist 52 [7]

The circumference of the circle that has a radius of 28 cm is: 175.9 cm..

<h3>What is the Circumference of a Circle?</h3>

Circumference of a circle = 2 × π × r, where r = radius of the circle.

Given that a circle has:

radius (r) = 28 cm

Therefore:

Circumference of the circle = 2 × π × r

Plug in the value of r

Circumference = 2 × π × 28

= 175.9 cm.

Learn more about circumference of circle on:

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4 0

2 years ago

Read 2 more answers

Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents.

ra1l [238]

The expression will be written as $\rm \sqrt[8]{2^5}$ ., the correct option is A.

<h3>What are Exponents?</h3>

Exponents are the base raised to a power, It is written in the superscript of a number.

The expression given in the statement can be written as

$\rm \dfrac{ 2^{7/8}}{2^{1/4}}$

By the Exponent rule,

$\rm \dfrac{a^m}{a^n} = a^{m-n}$

So the expression can be written as

= $\rm 2^{5/8}$

= $\rm \sqrt[8]{2^5}$

Therefore, in radical form, the expression will be written as $\rm \sqrt[8]{2^5}$ ., the correct option is A.

The complete question is

Rewrite the rational exponent as a radical by extending the properties of integer exponents.

2 to the 7 over 8 power, all over 2 to the 1 over 4 power

the eighth root of 2 to the fifth power

the fifth root of 2 to the eighth power

the square root of 2 to the 5 over 8 power

the fourth root of 2 to the sixth power

To know more about Exponents

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#SPJ2

6 0

2 years ago

A rectangle is drawn with the dimensions shown. The area is listed inside each rectangle.

lutik1710 [3]

Answer:

the awnser is 45

Step-by-step explanation:

i just took this test on masery connect

5 0

3 years ago

A figure is composed of a rectangle and a right triangle. What is the area of the figure?

strojnjashka [21]

QUESTION 1

The figure is a tra-pezoid.

The area of a trapezoid is given by the formula;

$A=\frac{1}{2}(Sum\:of\:parallel\:sides)\times h$

We substitute the values to obtain;

$Area=\frac{1}{2}(13.2cm+8.4cm)\times 6cm$

$Area=\frac{1}{2}(21.6cm)\times 6cm$

$Area=64.8cm^2$

QUESTION 2

The approximate length of the ribbon is equal to the circumference of the circular table cloth.

We can find this by using the formula for calculating the circumference of a circle.

$C=2\pi r$

where $r=3.5ft$ is the radius of the circular table cloth.

We substitute this value and $\pi=3.14$ into the formula to get;

$C=2(3.14)(3.5)ft$

$C=21.98ft$

The approximate length of the ribbon is 22.0ft to the nearest tenth.

QUESTION 3

Type of quadrilateral:Rectangle

Explanation: A rectangle has 4 angles that are right angles.

The two pairs of opposite sides of a rectangle are also congruent.

QUESTION 4.

The circumference of a semi circle is calculated using the formula;

$C=\pi r$

where $r=12.5cm$ is the radius of the semicircle.

$C=3.14\times 12.5cm$

$C=39.25cm$

QUESTION 5

The area of the entire figure is the area of the semicircle plus the area of the isosceles triangle.

$Area=\frac{1}{2}\pi r^2+\frac{1}{2}bh$

$Area=\frac{1}{2}\times3.14\times12.5^2+\frac{1}{2}\times25\times 24$

$Area=345.3125+300$

$Area=645.3125cm^2$

$Area\approx645cm^2$

QUESTION 6

The area of the parallelogram is given by the formula;

$A=bh$

From the diagram, $b=y\:in.,h=3in.$ .

Given, A=23.7 inches squared.

We substitute the values to obtain;

$23.7=3y$

$y=\frac{23.7}{3}$

$y=7.9in.$

QUESTION 7

The area of a rectangle is given by the formula;

$Area=l\times b$

The area of the bigger rectangle $=9\times15=135in^2$

The area of the smaller rectangle $=8\times 13=104in^2$

The area of the shaded region $=135-104=31in^2$

5 0

3 years ago

Select the most specific name for the quadrilateral shown.

ludmilkaskok [199]

Answer:

Square

Step-by-step explanation:

square - (geometry) a plane rectangle with four equal sides and four right angles

6 0

3 years ago