All categories

2 years ago

Find the radius of a circle if it’s circumference is numerically equal to its area

Mathematics

1 answer:

kotykmax [81]2 years ago

5 0

Answer:

Step-by-step explanation:

hello :

if : r the radius ( r ≠0)

the circumference is : 2πr

the area is : πr²

so : πr² = 2πr

simplify by : r π you have : r=2

You might be interested in

Toby goes on holiday to Geneva, Switzerland.

Vera_Pavlovna [14]

Answer:

Firstly, we have to transform CHF to $\£$ in order to work with the same currency and make the comparisson:

If $\£1=1.55CHF$

$193.75CHF\frac{\£1}{1.55CHF}$

Then:

$193.75CHF=\£125$

Now we can make the comparisons:

a) In Geneva the watch costs $193.75 CHF=\£125$ and in Manchester it costs $\£143$ .

According to this:

<h2>In Geneva the watch is cheaper</h2>

b) If we want to know by how much is cheaper, we have to substract from the expensive price the value of the cheaper price:

$\£143-\£125=\£18$

Therefore:

<h2>The watch in Geneva is $\£18$ cheaper than the same watch in Manchester.</h2>

8 0

2 years ago

A scientist needs 10 L of a solution that is 60% acid. She has a 50% acid solution and a 90% acid solution she can mix together

sineoko [7]

Answer:

<u>The equations system is:</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Liters of 60% acid solution needed = 10

x = Number of liters of the 50% solution

y = Number of liters of the 90% solution

2. Which equation represents the total liters of acid that are needed?

There are two equations needed:

The first one related to the total liters needed, 10 in this case:

x + y = 10

The second one related to the acid concentration of the 10 liters:

0.5x + 0.9y = 10 * 0.6

0.5x + 0.9y = 6

<u>The equations system is:</u>

Solving for x and y in the 2nd equation, we have:

0.5 (10 - y) + 0.9y = 6

5 - 0.5y + 0.9y = 6

0.4y = 6 - 5

0.4y = 1

y = 1/0.4 = 2.5 ⇒ x = 7.5 (10 - 2.5)

The scientist can mix 7.5 liters of the 50% acid solution and 2.5 liters of the 90% acid solution to get the 10 liters of the 60% acid solution.

6 0

3 years ago

Find x.<br><br> See attached picture.

pishuonlain [190]

Answer:

B. 22

Step-by-step explanation:

We know tan60=

$\sqrt{3}$

Let common side be x

Tan = opp/adj= sqrt(3)

$\frac{11 \sqrt{6} }{x} = \sqrt{3}$

Transposing we get :

$\frac{11 \sqrt{6} }{ \sqrt{3}} = x = 11 \sqrt{2}$

Now, we know that since the other triangle is a 45-45-90 triangle, we can state that the side adjacent to the given angle = 11 sqrt(2) as the two sides are equal due to the triangle being an isoceles triangle.

Solve for x by using Pythagorean theorem:

$\sqrt((11 \sqrt{2}^{2} + (11 \sqrt{2} )^{2} ) = x$

$= > \sqrt{2(11 \times 11 \times \sqrt{2} \times \sqrt{2}) } = x$

$= > \sqrt{484} = x = 22$

Hence answer is B. 22

3 0

1 year ago

troy is going to spain and needs to convert his dollars to euros. He knows that when he goes, $5.00 is equivalent to about 3.45

astraxan [27]

Answer:

Step-by-step explanation:

3.45/5=0.69

0.69x$125=86.25

0.75x$125=93.75

93.75-86.25=$7.5

Troy would get $7.50 more than he would have if the exchange rate had stayed at .69

7 0

3 years ago

F(x) = x+3/x find inverse

Tju [1.3M]

I am unable to solve this problem.

3 0

2 years ago