Find the length of the third side. If necessary, write in simplest radical form

The length of the sides of the square are 8 centimetres and 12 centimetres respectively

area = l²

where

Therefore,

x² + y² = 208

perimeter = 4l

4x + 4y = 80 cm

x + y = 20

x = 20 - y

(20 - y)² + y² = 208

y² - 40y + 400 + y² = 208

2y² - 40y + 192

y² - 20y + 96

(y - 12)(y - 8)

Therefore, y  = 12 and y = 8

when y = 8

x + 8 = 20

x = 12

when y = 12

x + 12 = 20

x = 8

Therefore, the length of the sides of the square are 12 cm and 8 cm.

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Answer:

2

Step-by-step explanation:

Answer:

r = 9 units

Step-by-step explanation:

since AB is a tangent to the circle at B , then ∠ ABO = 90°

so Δ ABO is a right triangle

using Pythagoras' identity in the right triangle

OB² + AB² = AO² , that is

r² + 12² = 15²

r² + 144 = 225 ( subtract 144 from both sides )

r² = 81 ( take square root of both sides )

r = [tex]\sqrt{81}[/tex] = 9

The solution of the equation √x+2 + 4 = 6 is x = 2 and it is not an extraneous solution

The solution of the equation can be found as follows;

√x+2 + 4 = 6

subtract 4 from both sides

√x+2 + 4 - 4 = 6 - 4

√x+2  = 2

square both sides

(√x+2)² = 2²

x + 2 = 4

x= 4 - 2

x = 2

Therefore the solution is x = 2 and it is not a extraneous solution.

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Answer:

I believe it would be -20 because the number line values skip by 2 or 3 each skip.

Answer:

I think it's B

Step-by-step explanation:

:)

Answer:

153.86cm^2

Step-by-step explanation:

area of a circle= πr^2

where r = radius= 14/2= 7miles

area= 3.14×(7×7)

area= 3.14×49= 153.86cm^2

Answer:

One Solution

Explanation:

change sides

one solution ↓

Answer:

One solution

Step-by-step explanation:

When solving for d, you get d = - 8

Answer:

5/6-1/9=45/54-6/54=39/54.

Step-by-step explanation:

hey!

To make fractions have a common denominator, multiply both the numerator and denominator by the same number. For example, 5/6=45/54 because I multiplied 5 and 6 both by 9, and 1/9= 6/54 because I multiplied 1 and 9 by 6. This is the same for all fractions.

Hope this helped :)

Answer:

13/18

Reasoning:

First. We have to find the GCD

Second. Multiply both fractions with the number that creates the GCD

5/6 x 3/3 - 1/9 x 2/2 = 15/18 - 2/18

Third. Subtract 15/18 - 2/18 = 13/18

( Would appreciate if you marked me brainliest )

If the areas of rectangles A, B, and C are 11, 33, and 75, respectively. Then the area of the rectangle D will be 25 square units.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

In the figure below, the areas of rectangles A, B, and C are 11, 33, and 75, respectively.

Then the area of the rectangle D will be

Let a be the length and b be the width of the rectangle D. Then we have

The ratio of the area of the rectangles will be

[tex]\rm \dfrac{A_A}{A_B} = \dfrac{A_D}{A_C}\\\\\\A_D = \dfrac{A_A \times A_C}{A_B}\\\\\\A_D = \dfrac{11 \times 75}{33}\\\\\\A_D = 25[/tex]

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Answer:

$4,273.50

Step-by-step explanation:

Multiplying the total sale amount by 55% commission :

Answer:

Step 1: Create a net for the triangular prism by "cutting" two edges of the triangular faces and unfolding.

Step 2: Find the area of each triangle. Find the area of the rectangle.

Step 3: Add all areas from step 2 together. This is the surface area.

Step-by-step explanation:

Answer:

you will get the correct answer

Step-by-step explanation:

I need points ASAP!!

Given

To find

We can see MN is intercepted by the angle MPN.

Inscribed angle is half the measure of intercepted arc

The answer is mMN = 70°

Given

To find

See the solution with reasons for each line

So the answer is m∠COD = 120°

Answer: the answer is 2.85 x 10^-4

Step-by-step explanation:

or u can just look up  Mathway and that will give you the answer and a much quicker way too https

Answer:

*These Should be the correct answers*

1.C

2.D

Step-by-step explanation:

area of triangle

= 1/2 b*h

=1/2 17*15

=8.5*15

=127.5m²

The probability that there are 843 or fewer amounts with first digit 1, 2, or 3 is 0.562

The given parameters are:

Fewer digits = 843

Total = 1500

The probability is then calculated as:

P = 843/1500

Evaluate the quotient

P = 0.562

Hence, the probability that there are 843 or fewer amounts with first digit 1, 2, or 3 is 0.562

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Answer:

[tex]y =\frac{5}{4}x+ ( -3)[/tex]

Step-by-step explanation:

Step 1:  Subtract 5x from both sides

[tex]5x - 4y = 12[/tex]

[tex]5x - 5x - 4y = 12 - 5x[/tex]

[tex]-4y = 12 - 5x[/tex]

Step 2:  Divide both sides by -4

[tex]\frac{-4y}{-4} = \frac{12}{-4} - \frac{5}{-4}x[/tex]

[tex]y =\frac{5}{4}x+ ( -3)[/tex]

Answer: [tex]y =\frac{5}{4}x+ ( -3)[/tex]

The quantity of energy moved or transformed per unit of time is referred to as power. The amount of energy that is consumed by the hairdryer in 15 minutes will be 0.3 kWh.

The quantity of energy moved or transformed per unit of time is referred to as power.

Formula: Power = Energy / Time

Units: kW = kWh / hour

The power of electric equipment is given by the formula,

P = E/t

where E is the energy consumed in kWh and t is the time in hours.

Given the power of the hairdryer is 1.200 kW while the time for which it is kept on is 15 minutes, therefore, 0.25 hours. Now, the energy consumed by the dryer in 15 minutes will be,

1.200 kW = E / 0.25

0.3 kWh = E

Hence, the amount of energy that is consumed by the hairdryer in 15 minutes will be 0.3 kWh.

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Answer:

z = 58 mm

Step-by-step explanation:

Volume of the rectangular prism :

Solving :

Answer:

z = 58 mm

Step-by-step explanation:

Volume of a rectangular prism: length × width × height

V = L×W×H

Substitute the values above and solve for z:

122,264 = 62 × z × 34

122,264 = 2108z

122,264/2108 = 2108z/2108

58 = z

Final answer: 58 mm

Hope this helps!

Answer:

To solve this question, you simply apply algebraic formulas to geometric relationships.

The perimeter is simply the sum of the lengths of the sides of a shape. However, in this case, there is an "x" involved, so you must add algebraically.

Simply add the length of the sides up.

[3x] + [6x-2] + [x+3] + [4x+1] + [5x-2] = Perimeter

Now, simplify. Since adding is commutative, you can simply put all the variables first and constants next, no matter where they come from within the expression.

3x + 6x + x + 4x + 5x + -2 + 3 + 1 + -2

19x + 0 (-2-2 + 3+1 cancel out)

The perimeter of this pentagon is 19x.

Step-by-step explanation:

Answer:

10.3

Step-by-step explanation:

Volume of a sphere

 V = 4/3 pi r^3

4574.9  = 4/3 (3.14) r^3

r= 10.3 in

jt- 22x+9..

It clearly says JT=22X+9

try 22+9..?

Answer:

[tex]m\angle{W} = {75{^\circ}}[/tex]

[tex]m\angle{Y} = {15{^\circ}}[/tex]

[tex]m\angle{Z} = {90{^\circ}}[/tex]

Step-by-step explanation:

All angles in a triangle must add up to [tex]180{^\circ}[/tex]

First we can use an equation to find [tex]x[/tex]

[tex](x - 15) + (2x - 165) + 90 = 180[/tex]

[tex]3x - 180 = 90[/tex]

[tex]3x = 270[/tex]

[tex]x = 90[/tex]

Now we can solve for [tex]\angle W[/tex]and [tex]\angle Y[/tex] through substitution

[tex]\angle{W} = 90 - 15 \rightarrow \boxed{75{^\circ}}[/tex]

[tex]\angle{Y} = 2x - 165 \rightarrow 2(90) - 165 \rightarrow 180 - 165 \rightarrow \boxed{15{^\circ}}[/tex]

Now we can classify the triangle

It is right because it has a [tex]90{^\circ}[/tex] angle

These are the answers

- Kan Academy Advanced

Answer:

8,327.8 - 12.034 = 8315.766

923.01 + 74.289 = 997.299

hope this helps:)

The location of point B is (0,5.5).

The section formula tells us the coordinates of the point which divides a given line segment into two parts such that their lengths are in the ratio m : n.

Given: A(1,5), M(-1,6)

If M is the mid point of line AB, then

let the coordinates of B(a,b),

Using section formula,

a= 1*1+1*(-1)/(1+1)

a= 0/2

a=0

b= 1*6+1*5/2

b=11/2

b=5.5

Hence, the coordinated of B(0,5.5).

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Answer:

B. (0,5.5)

B's location is (0,5.5)