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3 years ago

In circle M, diameters JL and HK each measure 16 centimeters.

Mathematics

1 answer:

sashaice [31]3 years ago

7 0

Answer:

3.5 cm

Step-by-step explanation:

Length of an arc is a "part" of the circumference of a circle.

The circumference is the perimeter of the circle. Formula is:

$C=\pi d$

Where

C is circumference

d is diameter

Given diameter is 16, the circumference would be:

$C=\pi (16)\\C=16\pi\\C=50.27$

Now, the arc is 25 degrees, which is 25/360 th of the circle's circumference [recall, there is 360 degrees in whole circle].

So, we multiply the circumference we got by (25/360) to get our answer:

$\frac{25}{360}*50.27=3.5$

Minor Arc JH = 3.5 cm

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A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below:

sasho [114]

To find the volume of this storage bin, you will use the formula for volume of a cylinder and of a cone.

V = Bh (cylinder)
Pi x r^2 x h
Pi x 2^2 x 10

V = 1/3 x pi x r^2 x h
1/3 x pi x 2^2 x 3

All of these choices show correct answers!

4 0

3 years ago

My homework is due soon, help!!

Fantom [35]

Answer:

50.24

Step-by-step explanation:

A = Area

Radius = 4 (The radius is half of the diameter

Diameter = 8

Pie = 3.14

A = (pie)r^2

A = (3.14)4^2

A = (3.14)16

A = 50.24

4 0

3 years ago

Steven wrote this equation. 4×18=418 Explain the error in Steven's reasoning. Find the correct product. Enter your explanation a

Thepotemich [5.8K]

Given:

Steven wrote this equation:

$4\times 18=418$

To find:

The error in Steven's reasoning and then find the correct product.

Solution:

We have,

$4\times 18=418$

This statement is incorrect because we cannot write product directly as Steven wrote.

We need to multiply the place values of each digit of first number with the place values of second number and then we need to add the resulted values.

$4\times 18=4\times (10+8)$

$4\times 18=4\times 10+4\times 8$

$4\times 18=40+32$

$4\times 18=72$

Therefore, the correct product is 72.

4 0

3 years ago

I'm having trouble figuring out how I could go about this. Can someone work it out then explain so that I know how to do this ne

skad [1K]

Answer:

RT-ST=QS-ST, because subtracting the same quantity from two lines that have been stated to be equal.

Therefore RS=TQ

Angle R=Angle Q, because it is an isosceles triangle

Triangle AR

S is congruent to ATQ.

AT=AS

Because TAS is isosceles, angles 5 and 6 are equal.

Therefore, angles 4 and 7 are equal, because they are supplementary angles of the same angle.

And angles 1 and 3 are equal, because the other two angles in the triangle are equal.

The triangles RAT and QAS are congruent with SAS.

Step-by-step explanation: Can u gimme brain plz!

6 0

3 years ago

Jane took a train traveling at an average speed of 60 mph from Boston, MA to Washington, D.C. The trip took 8 hours. On her way

Trava [24]

Answer:

6.4 minutes

Step-by-step explanation:

The question gave us the following details:

Average speed = 60mph

Time spent on trip = 8 hours

Average speed of express train on way back = 75mph

T = distance/speed

D = distance

V = speed

T = d/v

d = v(t)

d = 60 x 8

= 480

Such that

480/75

= 6.4 hours.

That is 6 hours 40 minutes is the length of time it would take on the trip home.

Thank you!

7 0

3 years ago