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Salsk061 [2.6K]
2 years ago
6

a circular fountain has a radius of 9.4 feet. find its diameter and circumference to the nearest tenth.

Mathematics
1 answer:
pickupchik [31]2 years ago
7 0

Radius = r

Diameter : D = r*2

Circumference : C = 2πr

π = 3.14 rounded

9.4*2 =18.8

2(3.14)9.4

6.28*9.4= 59.03200

Diameter = 18.8

Circumference = 59.03200


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Which decimal is between √ 85 and √ 86<br><br>a)9.15<br>b)9.2<br>c)9.25<br>d)9.3​
mina [271]

Answer:

c

Step-by-step explanation:

7 0
3 years ago
Prove that under root 2 is a irrational number​
torisob [31]

Answer:

Let's suppose √2 is a rational number. Then we can write it √2  = a/b where a, b are whole numbers, b not zero.

We additionally assume that this a/b is simplified to lowest terms, since that can obviously be done with any fraction. Notice that in order for a/b to be in simplest terms, both of a and b cannot be even. One or both must be odd. Otherwise, we could simplify a/b further.

From the equality √2  = a/b it follows that 2 = a2/b2,  or  a2 = 2 · b2.  So the square of a is an even number since it is two times something.

From this we know that a itself is also an even number. Why? Because it can't be odd; if a itself was odd, then a · a would be odd too. Odd number times odd number is always odd. Check it if you don't believe me!

Okay, if a itself is an even number, then a is 2 times some other whole number. In symbols, a = 2k where k is this other number. We don't need to know what k is; it won't matter. Soon comes the contradiction.

If we substitute a = 2k into the original equation 2 = a2/b2, this is what we get:

2=(2k)2/b22=4k2/b22*b2=4k2b2=2k2

This means that b2 is even, from which follows again that b itself is even. And that is a contradiction!!!

WHY is that a contradiction? Because we started the whole process assuming that a/b was simplified to lowest terms, and now it turns out that a and b both would be even. We ended at a contradiction; thus our original assumption (that √2 is rational) is not correct. Therefore √2 cannot be rational.

(I copied this from the internet, but hope it helps!)

4 0
3 years ago
Read 2 more answers
Please can I have an explanation also, I am terrible at these kinds of questions!
wlad13 [49]

Answer:

<em>The fraction of the beads that are red is</em>

Step-by-step explanation:

<u>Algebraic Expressions</u>

A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:

r:y = 2:3

y:b = 5:4

We are required to find r:s, where s is the total of beads in the bag, or

s = r + y + b

Thus, we need to calculate:

\displaystyle \frac{r}{r+y+b}       \qquad\qquad    [1]

Knowing that:

\displaystyle \frac{r}{y}=\frac{2}{3}      \qquad\qquad    [2]

\displaystyle \frac{y}{b}=\frac{5}{4}

Multiplying the equations above:

\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}

Simplifying:

\displaystyle \frac{r}{b}=\frac{5}{6}       \qquad\qquad    [3]

Dividing [1] by r:

\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}

Substituting from [2] and [3]:

\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}

Operating:

\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}

\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}

\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}

The fraction of the beads that are red is \mathbf{\frac{10}{37}}

8 0
2 years ago
Duncan takes a break from studying and goes to the gym to swim laps. If swimming burns 9.05×105 cal per hour, how many kilojoule
fgiga [73]

For this case we have to by definition:

1 kilojoule equals 0.239006 kilocalorie.

1 kilocalorie equals 1000 calories

Then, if we have:9.05 * 10 ^ 5 \frac {calories} {hour} *\frac {1} {1000} \frac {kilocaloria} {calorie} = 9.05 * 10 ^ 2 \frac {kilocaloria} {hour}

Now:

9.05 * 10 ^ 2 \frac {kilocaloria} {hour} * \frac {1} {0.239006} \frac {kilojoule} {kilocaloria} = 3786.52 \frac {kilojoule} {hour}

Answer:

3786.52 \frac {kilojoule} {hour}

3 0
3 years ago
Find the slope of the line going through the points
klasskru [66]

Answer:

Dont ask me

Step-by-step explanation:

Okay!!!!!

4 0
3 years ago
Read 2 more answers
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