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Tju [1.3M]
3 years ago
10

Find the height of a soup can if the area of the label is 302 square centimeters and the radius of the can is 4 centimeters. Rou

nd to the nearest whole number. show work please ...?
Mathematics
1 answer:
amid [387]3 years ago
8 0
To answer this, we assume that the can is in cylindrical shape. The of its label would correspond to an area of a rectangle where the length would be the circumference of the base of the can. We calculate as follows:

C = 2πr = 2π(4) = 8π = L

A = LH = 8π(H) = 302
H = 12 cm

Hope this answers the question. Have a nice day.
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Which system of equations could be graphed to solve the equation below? log Subscript 0. 5 Baseline x = log Subscript 3 Baseline
Vanyuwa [196]

You can use the fact that two expressions in equality can be considered to be equal to a third variable(not used in given context).

The system of equations that could be graphed to solve the equation given is

  • y = \log_{0.5}(x)\\\\
  • y = \log_3(2+x)

<h3>How can we form a system of equations from an equation?</h3>

Suppose the equation be a = b\\

Let there is a symbol c such that we have a = b = c

It is because a and b are same measure (that is exactly what a = b means)

and we gave another name c to that measure.

Thus, we have

a = c\\b = c

in addition to  a = b\\

<h3>Using the above method to find the system of equations needed</h3>

Since the given equation is log_{0.5}(x) = log_2(2+x)

The 2d graphs are usually expressed as y = f(x) on X-Y plane.

Taking the equation's expressions equal to y, we get

log_{0.5}(x) = log_2(2+x) = y

or, we get system of equations as

y = log_{0.5}(x)\\\\y = log_3{(2 + x)}

Their graph is plotted below. The intersection point of both curves is the solution to the given equation as it satisfies both the equations of the system of equations formed from the given equation.

Thus,

The system of equations that could be graphed to solve the equation given is

  • y = \log_{0.5}(x)\\\\
  • y = \log_3(2+x)

Learn more about solutions to system of equations here:

brainly.com/question/14550337

4 0
2 years ago
What is the area of the sector a.) 10π cm^2b.) 16π cm^2c.) 40π cm^2d.) 64π cm^2
Natalija [7]

Answer:

C. 40π cm²

Explanation:

• The central angle of the sector = 225 degrees

,

• The radius of the sector = 8cm

For a sector of radius r and central angle θ, we calculate the area using the formula below:

\text{Area}=\frac{\theta}{360\degree}\times\pi r^2

Substituting the given values, we have:

\begin{gathered} \text{Area}=\frac{225}{360}\times\pi\times8^2 \\ =\frac{5}{8}\times64\times\pi \\ =5\times8\times\pi \\ =40\pi cm^2 \end{gathered}

The area of the sector is 40π cm².

3 0
1 year ago
A 25 kg rock , is raised to the top of a hill 10 m high. What is the PE of the rock ?
nexus9112 [7]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Potential  \:  \: Energy =(mass) \times (gravity \: acceleration) \times (height) \\

_________________________________

If gravity acceleration is 10 :

PE = 25 \times 10 \times 10

PE = 2500

_________________________________

If gravity acceleration is 9.8 :

PE = 25 \times 9.8 \times 10

PE = 25 \times 98

PE = 2450

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3 0
2 years ago
Plz help :( what is 10,000,000(20)^10 !?
Sergio [31]

Answer: 102,400,000,000,000,000,000

Step-by-step explanation:

First do 20^10 = 10,240,000,000,000.  

Then, multiply 10,240,000,000,000 * 10,000,000 to get 102,400,000,000,000,000,000.

<em>Hope it helps <3</em>

7 0
3 years ago
What expression is equal to6 e + 3 (e-1)
eimsori [14]

Answer:

9e -3

Step-by-step explanation:

Perform the indicated multiplication:

6 e + 3 (e-1) = 6e + 3e - 3

This, in turn, simplifies to

9e -3, or 3(3e - 1).

6 0
3 years ago
Read 2 more answers
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