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2 years ago

What is the volume of the sphere with a 12 cm radius

Mathematics

1 answer:

professor190 [17]2 years ago

6 0

Answer:

2304 pi cm^3

Step-by-step explanation:

The equation is 4/3(pi)(r^3). From there, you can just plug in the given radius value and solve the equation!

You might be interested in

Write an equivalent expression for 36 divided by [-9] [-5]?

natima [27]

36/-9-5=14/7-11 36/-9=-4 -4-5=-9 14/7=2 2-11=-9

3 0

3 years ago

The price of a television before tax is $1625.00. The total price with tax is $1,803.75. What is the rate of the sales tax?

Oksanka [162]

Answer:

11%

Step-by-step explanation:

A sales tax is placed on goods and services once the buyer and seller agree on what the exchange of currency is.

In this case you take the tax on the 1625 and not the 1803.75.

The buyer agreed to buy the item for 1625 and the seller agreed to sell it for that amount. So the tax goes on 1625.

Tax amount = total price - selling price

Tax amount = 1803.75 - 1625

Tax amount = 178.75

That's not what you want. You want the % of the tax.

% Tax = (Tax Amount / Selling Price) * 100

% Tax = (178.75 / 1625) * 100

% Tax = 0.11 * 100

% Tax = 11% Answer

8 0

3 years ago

Find the value of a. A. 58 B. 130 C. 86 D. 65

tatiyna

Answer:

$C. \ \ \ 86$ °

Step-by-step explanation:

1. Approach

In order to solve this problem, one must first find a relationship between arc (a) and arc (c). This can be done using the congruent arcs cut congruent segments theorem. After doing so, one can then use the secants interior angle to find the precise measurement of arc (a).

2. Arc (a) and arc (c)

A secant is a line or line segment that intersects a circle in two places. The congruent segments cut congruent arcs theorem states that when two secants are congruent, meaning the part of the secant that is within the circle is congruent to another part of a secant that is within that same circle, the arcs surrounding the congruent secants are congruent. Applying this theorem to the given situation, one can state the following:

$a = c$

3. Finding the degree measure of arc (a),

The secants interior angle theorem states that when two secants intersect inside of a circle, the measure of any of the angles formed is equal to half of the sum of the arcs surrounding the angles. One can apply this here by stating the following:

$86=\frac{a+c}{2}$

Substitute,

$86=\frac{a+c}{2}$

$86=\frac{a+a}{2}$

Simplify,

$86=\frac{a+a}{2}$

$86=\frac{2a}{2}$

$86=a$

5 0

3 years ago

10 3/4 -7 1/4 subtracting mixed numbers???

kirza4 [7]

Oh yeah the answer is 3 2/4 or 3 1/2 if you want to simplify.

4 0

2 years ago

Two diameters of circle P are AB and CD. Find the measure of arc ACD and arc AC when arc AD has a measure of 20 degrees

steposvetlana [31]

Answer:

Hence measure of arc ACD and arc AC are 340 degrees and 160 degrees respectively.

Step-by-step explanation:

Given:

A Circle with p as center and AB and CD as 2 diameters for a circle.

To Find:

Measure of ACD, and arc AC when arc AD is 20 degrees.

Solution:

As we know that , Diameter is biggest chord which passes through center of circle,

Hence it divides the circle into two equal parts and making center as midpoint of it .

(Refer the attachment)

angle APD=20 degree or arc AD=20 degree.

So AB as diameter ,so arc DB=160 degree or BPD=160 degree as A-B-P are

and angle APD and BPC are vertical opposite angles so they are congruent BPC=20 degree

Now,

points A,C,B,D,A makes circle which measures 360 degrees.

to find ACD

measure of ACD=360-(meaure of arc AD or angle APD)

=360-20

=340 degree.

Now arc AC,

as AB is diameter with p as midpoint ,A-P-B

arc APB=180 and arc BC=20 or angle BPC=20 degrees.

For measure of arc AC= measure of arc APB- arc BC

arc AC=180-20 degrees.

arc AC=160 degrees.

5 0

3 years ago