Work out the area of a semicircle with radius 3cm. Give your answer in terms of pie

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

To find the area of a semicircle, you can follow these steps:

1. Recall that the formula for the area of a circle is A = πr^2, where A represents the area and r represents the radius.

2. Since a semicircle is half of a circle, the formula for the area of a semicircle is A = (πr^2)/2.

3. In this case, the radius of the semicircle is given as 3cm. Plug this value into the formula: A = (π * 3^2)/2.

4. Simplify the equation: A = (π * 9)/2.

5. The final answer, in terms of π, is A = 4.5π square centimeters.

Therefore, the area of the semicircle with a radius of 3cm is 4.5π square centimeters

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Increase 28 by 7 percent

Answers

7 percent... 7 percent of what?

AnswerP 7 % of 28!

so we need to know what 7% of 28 is:

$(7*28)/(100)$ =1.96.

After the increase:

28+1.96=29.96

Find the cube of 12. A.
36

B.
144

C.
1728

D.
20,736
next question
Find the volume of a cube with the given side length.

7 units

A.
49 square units

B.
49 cubic units

C.
343 square units

D.
343 cubic units

next question
What is the volume of a cube with a side of length 14 units?

A.
2744 cubic units

B.
196 cubic units

C.
84 cubic units

D.
42 cubic units
next question
How many 1 by 1 unit cubes would equal the volume of the figure shown?

A.
60

B.
120

C.
250

D.
3500
next question
What is the volume of the figure?

A.
648 cubic units

B.
216 cubic units

C.
108 cubic units

D.
54 cubic units

Answers

The cube of 12 is (12 x 12 x 12) = 1,728 .

The volume of a cube with side-length of 7 units is
(7 units x 7 units x 7 units) = 343 cubic units.

The volume of a cube with side-length of 14 units is
(14 units x 14 units x 14 units) = 2,744 cubic units.

The number of 1 by 1 unit cubes that would equal the volume
of the figure shown can't be determined, because the figure is
not shown.

The volume of the figure can't be determined, because the figure
is not shown.

Eight to the power of 2 plus three to the power of 2

Answers

Answer: 73

Step-by-step explanation:

8² = 64 3² = 9 64 +9 = 73

8 to the power of 2 means 8 × 8 that is 64

3 to the power of 2 means 3 × 3 that is 9

Find the length of Line ED Round to the nearest hundredth.A.
7.32 m
B.
9.48 m
C.
9.56 m
D.
33.80 m

Answers

Answer:

The correct option is C. 9.56 meter

Step-by-step explanation:

∠D = 54° , ∠F = 32°

Now, Using angles sum property of a triangle

∠D + ∠F + ∠E = 180°

⇒ 54° + 32° + ∠E = 180°

⇒ ∠E = 180 - 86

⇒ ∠E = 94°

Now, Using sine rule in the triangle DEF

$(FD)/(\sin 94)=(ED)/(\sin 32)\n\n\implies (18)/(\sin 94)=(ED)/(\sin 32)\n\n\implies ED = (18 * \sin 32)/(\sin 94)\approx 9.56\text{ meter}$

Hence, The correct option is C. 9.56 meter

The angles in a triangle add up to 180°.
$m \angle D + m \angle E + m \angle F=180^\circ \n54^\circ + m \angle E + 32^\circ = 180^\circ \nm \angle E=180^\circ - 54^\circ - 32^\circ \nm \angle E=94^\circ$

According to the law of sines, the ratio of the length of a side of atriangle to the sine of the angle opposite to this side is the same for all sides.
So, the ratio of DF to sin m∠E is the same as the ratio of ED to sin m∠F.
$(18)/(\sin 94^\circ)=(x)/(\sin 32^\circ) \n \n(18)/(\sin 94^\circ) * \sin 32^\circ= x \n \n(18)/(0.9976) * 0.5299 \approx x \n \nx \approx 9.56$

The answer is C.

If the volume of a certain pyramid is x and another pyramid is made which is 7 times larger (that is, all the linear dimensions have been increased by a factor of 7), what is the volume of the new pyramid (in terms of x)?

Answers

The volume of the new pyramid is given by:

$V = 343x$

The volume of a pyramid of radius r and height h is given by:

$V = (\pi r^2h)/(3)$

Initially, we suppose that the volume is x, that is:

$V = (\pi r^2h)/(3) = x$

Then, dimensions are multiplied by 7, that is, $r = 7r$ and $h = 7h$ , thus:

$V = (\pi (7r)^2(7h))/(3)$

$V = 343(\pi r^2h)/(3)$

$V = 343x$

A similar problem is given at brainly.com/question/21334693

Answer:

Step-by-step explanation:

Which of the following equations is not exponential?y = 1^x
y = (1/2)^x
y = -2^x

Answers

The equations is notexponential is y = $1^x$ .

What is Exponential function?

Calculating the exponential growth or decay of a given collection of data is done using an exponential function, which is a mathematical function. Exponential functions, for instance, can be used to estimate population changes, loan interest rates, bacterial growth, radioactive decay, and disease spread.

The standardform of exponential form is

f(x) = $a^x$