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NeTakaya
3 years ago
9

The height of a building is 943 feet which is about 481 feet higher than another building. What is the height of the second buil

ding
Mathematics
1 answer:
pshichka [43]3 years ago
6 0

Answer: 462


Step-by-step explanation:

943-481

Answer=462

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Determine the mass of a solid steel ball that has a diameter of 10 cm. The density of pure steel is 8.09 g/cm3
Basile [38]

Answer:

<em>The mass of the steel ball is 4,235.9 gr</em>

Step-by-step explanation:

<u>Density</u>

The density ρ of a substance is a measure of its mass per unit volume:

\displaystyle \rho=\frac{m}{V}

If the density and the volume are given, the mass can be calculated by solving the above formula for m:

m=\rho.V

We know the density of pure steel ρ=8.09 gr/cm3 and the diameter of a solid steel ball d=10 cm.

We need to calculate the volume of the sphere:

The volume of a sphere of radius r is given by:

\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3

The radius is half the diameter: r= 10/2 = 5 cm. Thus:

\displaystyle V=\frac{4}{3}\cdot \pi\cdot 5^3

Calculating:

V=523.6\ cm^3

The mass is:

m=8.09 gr/cm^3 \cdot 523.6\ cm^3

m=4,235.9 gr

The mass of the steel ball is 4,235.9 gr

4 0
3 years ago
A scientist used a microscope to count the number of bacterial cells in a petri dish every hour. The graph shows the data collec
Alex777 [14]

The required relationship shown by the graph is the exponential relationship n =2^t . Option a is correct,

Given that,

A graph has been shown, showing the data,  what is the relationship between the number of bacteria with time is to be determined.

<h3>What is a graph?</h3>

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Since the recorded value from the graph is
At, t = 1 ; n = 2
At t = 2 ; n = 4
At t = 3 ; n = 8
At t = 4 ; n = 16
At t = 5 : n = 32
Here the above data show the exponential relation between n and t with the base value 2 i.e. n =2^t

Thus, the required relationship shown by the graph is the exponential relationship of n =2^t . Option a is correct,


Learn more about graphs here:

brainly.com/question/16608196

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8 0
1 year ago
Find the radius of a circle with a circumference of 36 Inches
tatiyna

Answer:

r = 18/pi

or approximately 5.7325 inches

Step-by-step explanation:

The circumference is given by

C = 2*pi*r

36 = 2*pi*r

Divide each side by 2 pi

36/(2pi) = r

18/pi = r

Letting pi = 3.14

18/3.14

5.732484076 = r

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2 years ago
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