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Inga [223]
3 years ago
14

3. If a circle has a circumference of T units, what is the diameter of the circle?

Mathematics
1 answer:
musickatia [10]3 years ago
4 0

Answer:

Diameter = \frac{T}{\pi}  units

Step-by-step explanation:

There are 2 formulas that we have for circumference of a circle, shown below.

  1. C=2\pi r
  2. C=\pi d

This comes from the fact that twice radius (r) is equal to diameter (d).

Since the question asks for diameter given circumference, we will use #2 formula from above because it relates circumference and diameter.

C = T [given]

d = ???

Let's find by substituting in formula:

C=\pi d\\T = \pi d\\d=\frac{T}{\pi}

Hence the diameter is  \frac{T}{\pi}  units

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For each boat he sells, nick earns $149 in addition to 2% of the purchase price of the boat as commission. If p represents the p
muminat

Answer:

The equation c = 0.02p+149 represents micks commission.

Step-by-step explanation:

Given that:

Amount earned by Nick on sale of each boat = $149

Commission earned = 2% of the purchase price

p represent the purchase price

Commission earned = \frac{2}{100}*p

Commission earned = 0.02*p

Commission earned = 0.02p

Total commission = c = 0.02p + 149

Hence,

The equation c = 0.02p+149 represents micks commission.

3 0
2 years ago
Mary spent $100 for $150 worth of merchandise. What percentage did she save?
ankoles [38]

66.6% because 100 is 2/3rds of 150

5 0
3 years ago
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Identify the domain of the exponential function shown in the following graph. Explain how you know.
Dmitriy789 [7]

Answer:

The domain of the function is R i.e. any real value.

Step-by-step explanation:

The given figure is a graph on the coordinate plane of the function y = 10^{x}

Now, the domain of a function means that the values of x (Independent variable) for which the function is valid i.e. the y values are real.

It is clear from the equation given above that for any real value of x there will be a real corresponding value of y.

Therefore, the domain of the function is R i.e. any real value. (Answer)

6 0
3 years ago
Let f(x)=x^2f ( x ) = x 2. Find the Riemann sum for ff on the interval [0,2][ 0 , 2 ], using 4 subintervals of equal width and t
sladkih [1.3K]

Answer:

A_L=1.75

Step-by-step explanation:

We are given:

f(x)=x^2

interval = [a,b] = [0,2]

Since n = 4 ⇒ \Delta x = \frac{b-a}{n} = \frac{2-0}{4}=\frac{1}{2}

Riemann sum is area under the function given. And it is asked to find Riemann sum for the left endpoint.

A_L= \sum\limits^{n}_{i=1}\Delta xf(x_i) = \frac{1}{2}(0^2+(\frac{1}{2})^2+1^2+(\frac{3}{2})^2)=\frac{7}{4}=1.75

Note:

If it will be asked to find right endpoint too,

A_R=\sum\limits^{n}_{i=1}\Delta xf(x_i) =\frac{1}{2}((\frac{1}{2})^2+1^2+(\frac{3}{2})^2+2^2)=\frac{15}{4}=3.75

The average of left and right endpoint Riemann sums will give approximate result of the area under f(x)=x^2 and it can be compared with the result of integral of the same function in the interval given.

So, (A_R+A_L)/2 = (1.75+3.75)/2=2.25

\int^2_0x^2dx=x^3/3|^2_0=8/3=2.67

Result are close but not same, since one is approximate and one is exact; however, by increasing sample rates (subintervals), closer result to the exact value can be found.

3 0
3 years ago
HELP PLEASE!!!!
mina [271]

Answer:


Step-by-step explanation:

1) Write 8x+14 as 2(4x+7) and now multiply by 1/2 so that we get 4x+7

2)Subtract 7 from both sides

4x+7=39

-7       -7

4x=32

3) Divide by 8

x=8

Thus we get x=8 as answer

So reasons are

i) Distributive property

ii) Subtraction property of equality

iii) Division property of equality

6 0
3 years ago
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