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Lerok [7]
2 years ago
9

I need help on how to solve these problems (please do not give me the answers i just want to learn how to solve these types of p

roblems :))
Part A: Find a rational number that is between 7.7 and 7.9. Explain why it is rational.

Part B: Find an irrational number that is between 7.7 and 7.9. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth.
Mathematics
1 answer:
adelina 88 [10]2 years ago
8 0

For part A, all you need to do is find an number between 7.7 and 7.9 but the number must terminate, or end.

For part B you must find a number that does not end and does not repeat, but round that number to the nearest hundredth.

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A swimming pool was 4 meters wide with surface area of 16 square meters.What is the length of the pool?
Agata [3.3K]

Because we're treating the swimming pool as a standard rectangle, rather than a three dimensional shape, we can use the formula L * W = A to calculate the length of the pool.

Length * Width = Area

We've established two key bits of information, and with them we can solve for the final piece.

Length * 4 = 16

4l = 16

Divide both sides by 4.

l = 4

<h3>The length of the pool is 4 meters.</h3>
6 0
3 years ago
Read 2 more answers
Explain why x and 4x - 10 are factors of the expression x(4x - 10)3 rather than terms of the expression. What are the terms of t
andriy [413]

Solution :-  Let p(x) be the polynomial  such that

p(x) = x(4x-10)^3\\\text{and let f(x) be another polynomial such that }\\f(x)=4x-10\\\text{To find , Put } f(x)=0\\\Rightarrow4x-10=0\\\Rightarrow4x=10\\\Rightarrow x=5/2\\\text{Now substituting value of x in p(x),we get}\\p(x)=\frac{5}{2} .(4(5/2)-10)^3\\\Rightarrow\frac{5}{2}.(10-10)^3=0\\\text{Similarly let g(x)=x ,we get x=0 by putting g(x)=0}\\\text{now f(x)=0 for x=0}\\\text{So by Factor theorem f(x) and g(x) are the factors of polynomial p(x)}\\

\text{Now} p(x) = x(4x-10)^3\\=64x^4-480x^3+1200x^2-1000x\\\text{so the terms of terms of } p(x) \text{are} 64x^4,-480x^3,1200x^2,-1000x\\\text{here, by using Factor theorem x is a factor of all the terms but 4x-10 is not. }

\text{And the terms of the factor 4x-10 are 4x and -10}

3 0
3 years ago
Felipe rented a truck for one day. There was a base fee of $16.95, and there was an additional charge of 76 cents for each mile
adelina 88 [10]

Answer:Fee as a function of miles:

f(m) = 16.95 + 0.92m

140.23 = 16.95 + 0.92m

0.92m = 140.23 - 16.95

0.92m = 123.28

m = 123.28/0.92

m = 134 miles

Step-by-step explanation:

6 0
3 years ago
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ASAP NEED HELP AND EXPLANATION WILL GIVE BRAINLIEST
Tomtit [17]

Answer: 5

Step-by-step explanation:

4 0
2 years ago
Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and sodium chlorate to evaporate
Setler79 [48]

Answer:

48 mm ^ 2

Step-by-step explanation:

We know we have a cube of side x, therefore the volume of that cube will be equal to:

V = x ^ 3, because it is a cube and each side is the same.

Now the derivative of the volume with respect to the length (that is, x) would be:

dV / dx = 3 * (x ^ 2)

They tell us that x takes a value of 4, replacing we have:

dV / dx = 3 * (4 ^ 2) = 48

That is, 48 mm ^ 2 would be the value of dV / dx when x is equal to 4 mm.

6 0
3 years ago
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