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3 years ago

Find the space inside a rectangle with a width of 18 and length of 20

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

5 0

Answer:

360 sq units

Step-by-step explanation:

I'm not completely sure if you want me to find the area or not so I will find the area of the rectangle :)

Area formula: l x w

l x w = 20 x 18

20 x 18 = 360

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The difference of two complementary angles is 48. Find the measures of the two angles.

Furkat [3]

The larger angle is 55 deg at the larger angle.

We have to know which angles are called Complementary Angles...

if we add two angles and the total will be equal to 90 deg

let's say one angle is x and another angle is y

as they are complementary angles from the definition we can write the equation x + y = 90

one angle is 20 deg more than another one so from the above condition we write x = 20 + y

Substitute the value of x in the first eaquation we get, 20 + y + y = 90

Then, 20 + 2y = 90

subtracting 20 from both sides,

2y = 90-20 = 70

dividing both sides by 2,

2y/ 2 = 70 / 2

y = 35

So we got one angle is 35 deg

another angle is 35 + 20 = 55 deg.

Our answer is 55 deg the larger angle.

To learn more about the measure angle visit:

brainly.com/question/25716982

#SPJ1

3 0

2 years ago

Select Repeating or Nonrepeating to correctly classify each decimal. 1.01011 2.23¯¯ 3.426¯ 4.321321… the minus signs mean lik

irina [24]

2.23 3.426 4.321321 they all repeat

5 0

3 years ago

Read 2 more answers

40 times something= 2400 whats the other number

Norma-Jean [14]

Answer:

The other number is 60.

Step-by-step explanation:

2400 divided by 40=60

60 times 40=2400

6 0

3 years ago

Read 2 more answers

Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credi

adoni [48]

Answer:

$r = 4$

The center is:

(2, -4)

Step-by-step explanation:

We have the following equation

$x^2 - 4x + y^2 + 8y = -4$

The general equation of a circle has the following form

$(x-h)^2 + (y-k)^2 = r^2$

Where r is the radius and the point (h, k) is the center of the circle

To transform the given equation in the general equation of a circumference we must use the method of square completions

Step 1

$(x^2 - 4x) + (y^2 + 8y) = -4$

Step 2

Add and subtract $(\frac{b}{2})^2$ For an equation of the form

$ax^2 +bx +c$

$(x^2 - 4x +4)-4 + (y^2 + 8y +16) -16= -4$

Step 3 Factor the expressions within the parentheses

$(x-2)^2-4 + (y+4)^2 -16= -4$

Step 4 Simplify

$(x-2)^2 + (y+4)^2= -4+16+4$

$(x-2)^2 + (y+4)^2= 4^2$

Finally

$r = 4$

The center is:

(2, -4)

7 0

3 years ago

the figure below is a square . Find the length of side x in simplest radical form with a rational denominator.

wel

Answer:

$\sqrt{14}$

Step-by-step explanation:

In any square with side length $s$ , the diagonal of the square is equal to $s\sqrt{2}$ . Since the side length of this square is $\sqrt{7}$ , the diagonal is equal to $\sqrt{7}\cdot \sqrt{2}=\boxed{\sqrt{14}}$ .

Alternatively, you can form two 45-45-90 triangles with the diagonal of the square. The diagonal acts as the hypotenuse for the both these triangles, and the legs of both triangles are equal to the side length of the square. To find the length of the diagonal, use the Pythagorean Theorem, which states $a^2+b^2=c^2$ , where $c$ is the hypotenuse of the triangle, and $a$ and $b$ are the two legs of the triangle.

In this question, both legs are equal to $\sqrt{7}$ , and we're solving for the diagonal, which is the hypotenuse in this case:

$\sqrt{7}^2+\sqrt{7}^2=c^2,\\c^2=14,\\c=\boxed{\sqrt{14}}$

4 0

3 years ago