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3 years ago

Which of the following is a secant on the circle below?

Mathematics

1 answer:

boyakko [2]3 years ago

7 0

A. $\vec{KI}$ is the secant line on the below circle.

Step-by-step explanation:

The intersection of the circle will result in either Tangent or Secant. Secant is a line intersecting a circle at two different point. This concept explains the relation between the circle and line intersecting it.

From the given diagram,

The $\vec{GJ}$ and $\vec{GK}$ intersects the circle at the point H and I.

∴ It can also represented that the $\vec{JH}$ and $\vec{KI}$ intersects at a point G.

From the given options $\vec{KI}$ is the secant line that intersects the circle twice.

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10 of the students in Miss Ransom‘s class play an instrument. These 10 students make up 40% of the class how ,many students are

Mashutka [201]

Answer:

250 students

Step-by-step explanation:

Given data

Let the total number of students be x

Number of students that plays instrument = 10

Hence

40% of x = 10

40/100*x= 100

0.4x=100

x=100/0.4

x= 250

Hence there are 250 students in total

3 0

2 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.

Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = $21m^3$

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

Using the volume formula of a cylinder

The formula goes thus

$V = \pi r^2h$

Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

$\frac{21}{h} = \frac{\pi r^2h}{h}$

$\frac{21}{h} = \pi r^2$

The next step is to solve for the volume of the sphere using the following formula;

$V = \frac{4}{3}\pi r^3$

Divide both sides by r

$\frac{V}{r} = \frac{4}{3r}\pi r^3$

Expand Expression

$\frac{V}{r} = \frac{4}{3}\pi r^2$

Substitute $\frac{21}{h} = \pi r^2$

$\frac{V}{r} = \frac{4}{3} * \frac{21}{h}$

$\frac{V}{r} = \frac{84}{3h}$

$\frac{V}{r} = \frac{28}{h}$

Multiply both sided by r

$r * \frac{V}{r} = \frac{28}{h} * r$

$V = \frac{28r}{h}$ ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

$h = D$ , where D represents diameter of the sphere

Recall that $D = 2r$

So, $h = D = 2r$

$h = 2r$

Substitute 2r for h in equation 1

$V = \frac{28r}{2r}$

$V = \frac{28}{2}$

$V = 14$

Hence, the volume of the sphere is 14m³

4 0

3 years ago

Read 2 more answers

If a town starts with population of 63,500 that declines by 700 people each year, construct an equation to model its population

ankoles [38]

The equation would be 63500-700x=P, where 63500 is the original population, -700 is the amount the population decreases each year, x is the number of years, and P is the total population.

To answer the second part of the question, plug in 53000 for P and solve for x:

63500-700x=53000

*Subtract 63500 from both sides*

-700x=-10500

*Divide both sides by -700*

x=15

It would take 15 years for the population to drop to 53000.

Hope this helps!!

6 0

2 years ago

The number of cars at a dealership dropped from 64 to 48 after a weekend sale.

Arada [10]

The answer is 25%

(1)
If 64 is 100%, 48 is how much percent:
64 : 100% = 48 : x
x = 100% * 48 : 64
x = 75

(2)
Percent of decrease is:
100% - x = 100% - 75% = 25%

7 0

3 years ago

You play a game that involves spinning a wheel. Each section of the wheel shown has the same area. Use a sample space to determi

Anastasy [175]

Answer:

is it fighet spinner or I am wrong hahahaa fighet spinner

7 0

2 years ago

Read 2 more answers