What is the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase of 101010 degrees Celsius?

Llana [10]

Step-by-step explanation:

again, a line cutting through 2 parallel lines must have the exact same angles with both of them. otherwise they would not be parallel.

therefore, both angles must be identical

3x + 2 = 2x + 6

x = 4

3 0

3 years ago

Each side of a square is 4 inches. Four circles of equal area are inscribed (constructed inside the square). Find the exact area

Darya [45]

In order to find the area of the area outside the circles and inside the square, you need the area of the square minus the area of all the circles.

I assume you know the area of the square (s^2= 4^2 = 16 square inches). But the area of the circles is tricky.

The area of a circle is pi times r squared
$\pi \times r ^{2}$
So you need the radius. Knowing the side length is four inches and that two circles span one side length (as in the picture), you can divide the side length by two to get the diameter of one circle. Then divide that by two again to get the radius. Ultimately the radius is one.

The area using the circle area equation is ultimately just pi. However, with four circles you need to multiply this by four to get four pi.

So, 16-4pi is approximately 3.44 inches squared is the answer.

6 0

3 years ago

Evaluate 2 a - b for a = 2 and b = 3. Idk what this is

Aliun [14]

Answer: 1

Step-by-step explanation:

2a-b

Substitute the letters for the numbers. Since a=2 and b=3, the new equation will be:

2(2)-(3)

=4-3

=1

:)

3 0

3 years ago

At an ocean depth of 20 m, a buoy bobs up and then down 2 m from the ocean's depth. Four seconds pass from when the buoy is at i

rusak2 [61]

Well 10x2 is 20 so 10 is your answer hope this helps

3 0

3 years ago

Find the circumferences of the two circles circle a has a radius of 21 meters and circle b has a radius of 28 meters Is the rela

Feliz [49]

Answer:

The circumference for circle a is $\\ C = 131.9430$ m.

The circumference for circle b is $\\ C = 175.9240$ m.

The relationship between the radius of a circle and the circumference (the distance around the circle) is constant and is the same for all circles and can be written as $\\ \frac{C}{r} = 2\pi$ or, in a less familiar form, $\\ \frac{r}{C} = \frac{1}{2\pi}$ . The number $\\ \pi$ is constant for all circles and has infinite digits, $\\ \pi = 3.14159265358979....$ .

Step-by-step explanation:

The circumference of a circle is given by:

$\\ C = 2*\pi*r$ [1]

Where

$\\ C$ is the circle's circumference.

$\\ r$ is the radius of the circle.

And

$\\ \pi = 3.141592....$ is a constant value (explained below)

We can say that the distance around the circle is the circle's circumference.

The circumferences of the two circles given are:

Circle a, with radius equals to 21 meters ( $\\ r = 21m$ ).

Using [1], using four decimals for $\\ \pi$ , we have:

$\\ C = 2*\pi*r$

$\\ C = 2*3.1415*21$ m

$\\ C = 131.9430$ m

Then, the circumference for circle a is $\\ C = 131.9430$ m.

Circle b, with radius equals to 28 meters ( $\\ r = 28m$ ).

$\\ C = 2*3.1415*28$ m

$\\ C = 175.9240$ m

And, the circumference for circle b is $\\ C = 175.9240$ m.

We know that

$\\ 2r = D$

That is, the diameter of the circle is twice its radius.

Then, if we take the distance around the circle and we divided it by $\\ 2r$

$\\ \frac{C}{2r} = \frac{C}{D} = \pi$

This ratio, that is, the relationship between the distance around the circle (circumference) and the diameter of a circle is $\\ \pi$ and is constant for all circles. This result is called the $\\ \pi$ number, which is, approximately, $\\ \pi = 3.141592653589793238....$ (it has infinite number of digits).

We can observe that the relationship between the radius of a circle and the circumference is also constant:

$\\ \frac{C}{2r} = \frac{C}{D} = \pi$

$\\ \frac{C}{2r} = \pi$

$\\ \frac{C}{r} = 2\pi$

However, this relationship is $\\ 2\pi$ .

We can rewrite it as

$\\ \frac{r}{C} = \frac{1}{2\pi}$

And it is also constant.

7 0

3 years ago