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2 years ago

The diameter of a cartwheel is 2.1 m. Find the distance traveled when it completes 100 revolutions.

Mathematics

1 answer:

Alenkasestr [34]2 years ago

5 0

Answer:

Circumference of wheel=πd

Circumference of wheel =22*2.1/7

Circumference of wheel =6.6 Mrs

It coveres 6.6mtrs in one round

Then in 100 rounds it will take 6.6*100=660mtrs

I think that it

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The perimeter of a pool table is about 7.8m. four times the length equals nine times the width. What are the dimensions of the t

Nana76 [90]

The pool's dimension are l = 2.7 m and w = 1.2 m

Step-by-step explanation:

Step 1 :

Given

The pool's perimeter = 7.8 m

Four times the pool's length = nine times the pool's width.

=> 4l = 9w => l = ( $\frac{9}{4}$ ) w

Where l is the pool's length and w is the pool's width

Step 2:

The rectangle's formula for perimeter is 2 (l+w)

Substituting l = ( $\frac{9}{4}$ ) w ,

2[ ( $\frac{9}{4}$ ) w + w] = 7.8 (given)

( $\frac{13}{2}$ ) w = 7.8 = > w = 1.2 m

Step 3 :

l = ( $\frac{9}{4}$ ) w = ( $\frac{9}{4}$ ) 1.2 = 2.7

l = 2.7 m

Step 4 :

Answer :

The pool's dimension are l = 2.7 m and w = 1.2 m

6 0

2 years ago

A hackberry tree has roots that reach a depth of

Degger [83]

Answer:

24.6967 meters

Step-by-step explanation:

The roots of the tree go 6 and 5 over 12 meters below the ground level.

Now, 6 and 5 over 12 meters is equivalent to 6.4167 meters.

Again the top of the tree is 18.28 meters high from the ground level.

Therefore, the total height of the tree from the bottom of the root to the top is

(6.4167 +18.28) = 24.6967 meters (Answer)

5 0

2 years ago

If 10a+10b=35, what is the average (arithmetic mean) of a and b?

worty [1.4K]

Answer:

1.75

Step-by-step explanation:

If a and b are two numbers, then their arithmetic mean is

$\dfrac{a+b}{2}$

Given:

$10a+10b=35$

Divide this equation by 10:

$a+b=3.5$

Now, divide it by 2:

$\dfrac{a+b}{2}=\dfrac{3.5}{2}\\ \\\dfrac{a+b}{2}=1.75$

6 0

2 years ago

Prove the following using a proof by contradiction:The average of four real numbers is greater than or equal to at least one of

skelet666 [1.2K]

Answer:

By contradiction it can be proved that:

Average of four real numbers will be greater than or equal to at least one of the four real numbers.

Step-by-step explanation:

Method of contradiction means we assume opposite to the facts to be proved and then we contradict our assumption.

As a result, we prove the fact.

Here, let the four number be:

$p, q, r, s$

The average will be Sum of all numbers divided by count of numbers.

$\dfrac{p+ q+ r+ s}4$

Now, let us assume the opposite that the average is less than all the numbers.

i.e.

$\dfrac{p+ q+ r+ s}4$

Now, let us add all of them:

$\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 +\dfrac{p+ q+ r+ s}4 < p+q+r+s\\\Rightarrow \dfrac{4(p+q+r+s)}4$

Which can never be possible hence, our assumption is contradicted.

our assumption is wrong.

Therefore, by contradiction it is proved that:

Average of four real numbers will be greater than or equal to at least one of the four real numbers.

8 0

2 years ago

Select the correct answer.

igor_vitrenko [27]

Answer:

Step-by-step explanation:

CPI stands for Consumer Price Index, which is the measure of average prices to goods and services.

So, in this case, we have to find the average price for the given basket in year 2.

We know that in year 2, a toothbrush tube costs $1.25 and a tube of toothpaste costs $2.10. If we have 5 toothbrushes and 2 tubes of toothpaste, the total cost would be

$5 \ toothbrushes=5(\$1.25)=\$6.25\\2 \ toothpaste \ tubes=2(\$2.10)=\$4.20$

Now, the CPI would be the sum of these costs

$CPI = \$6.25 + \$4.20=\$10.45$

Therefore, the Consume Price Index for this basket of goods is

B. $\$10.45$

7 0

2 years ago

Read 2 more answers