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ELEN [110]
3 years ago
7

What is the circumference of a circle with a diameter of of 8.4 cm?

Mathematics
2 answers:
dolphi86 [110]3 years ago
7 0
C= d•pi(3.14). 
3.14•8.4= 26.376. :) 
C= 26.376
Alexxandr [17]3 years ago
5 0
The answer would be 26.39 cm.

Hope this helps!

- Juju
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Triangle ABC is transformed to triangle A′B′C′, as shown below:
Akimi4 [234]

Answer:

d one i think

hope it helps

the sum of triangle is 180 degree

3 0
3 years ago
Consider the vitamin capsule below.
shusha [124]

Answer:

We have a cylinder and two semispheres.

The volume of a cylinder is equal to:

Vc =h*pi*r^2

where h is the height, r is the radius, and pi = 3.14

We know that the diameter is d = 8.4 mm, and the radius is half of that:

r = 8.4mm/2 = 4.2mm

Then the volume of the cylinder is:

Vc = 15.2mm*3.14*(4.2mm)^2 = 841.9 mm^3

The volume of a sphere is:

Vs = (3/4)*pi*r^3

The radius of the sphere is the same as the radius of the cylinder, and for a semisphere, we have half of the volume written above,

Vss = (3/8)*3.14*(4.2mm)^2 = 87.2mm^3

and we have two of those, so the total volume is:

Vt = 841.9 mm^3 + 2*87.2mm^3 = 1016.3 mm^3

The surface area of the figure is equal to the curved surface of the cylinder plus the surface of the two semispheres.

The curved surface of the cylinder is:

Sc = 2*pi*r*h = 2*3.14*4.2mm*15.2mm  = 400.9 mm^2

The surface of a sphere is:

Ss = 4*pi*r^2

and for each semisphere, we can find the surface by dividing the previous equation by two, but we have two semispheres, so we can jump a step and think the two semispheres as only one sphere.

Ss = 4*3.14*(4.2mm)^2 = 221.6mm^2

The total surface is St = 221.6mm^2 + 400.9 mm^2 = 622.5 mm^2

7 0
3 years ago
3 Write a numerical expression to model the words. Subtract 1 from the product of 4 and 5.​
umka21 [38]

Answer:

Hello!

After reading the question you have provided I have come up with the correct numerical expression:

4x5-1

Step-by-step explanation:

To come up with this solution you need to keep in mind some of the terminoloy being used.

The word "subtract" comes from the action of subtraction

The word "product" comes from the action of multiplication

Thus, using those terminologies correctly, you can then deduce that when the question says "the product of 4 and 5" means "multiplying 4 and 5 together".

So you get the first part being 4x5

Then, you add in the last part of "subract 1" from the "product of 4 and 5":

4x5-1

<em>Remember to keep in mind the rule of "PEMDAS"</em>

You always need to keep the multiplication portion of the equation in front of any subtraction, or addition in any given equation.

7 0
2 years ago
Read 2 more answers
Write the cross products for the proportion s/t= u/v
Brrunno [24]

Hello from MrBillDoesMath!

Answer:

sv = tu


Discussion:

For the case of a proportion the "cross product" refers to the products of the "extremes" equaling the products of the "means".  As (s,v) are the extremes and (u.t) the means, this gives sv = tu


 

Thank you,

MrB

8 0
3 years ago
Find the domain and range of the function below.
Nana76 [90]

ANSWER

Domain: All real numbers

Range:

[2,  \infty )

EXPLANATION

The given function is

y = 3 {x}^{2}   - 6x  + 5

To find the domain and range of the given function, we complete the square.

y = 3 ({x}^{2}   - 2x  )+ 5

y = 3 ({x}^{2}   - 2x   + 1) + 3(  - 1)+ 5

y = 3 ({x - 1)}^{2}    - 3+ 5

y = 3 ({x - 1)}^{2}   + 2

The vertex is at (1,2).

The given function is a polynomial and all polynomial functions are defined everywhere.

The domain is all real numbers.

The parabola opens upwards and have vertex at (1,2). Hence the minimum y-value is 2.

The range is

[2,  \infty )

7 0
2 years ago
Read 2 more answers
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