Find the area of the shaded region. Each shape is a square.

Answer:

The foot of the ladder is 10 feet away from the base of the wall.

Step-by-step explanation:

Here , the wall , top and foot of the ladder and ground makes a right triangle of which length of ladder

h = 20  is regarded as hypotenuse, angle with ground is θ = 60 ;cos θ = b/h or cos 60 = b/20 or b = 20*cos 60 = 20* 1/2 = 10 feet.

The foot of the ladder is 10 feet away from the base of the wall. [Ans]

answer: The foot of the ladder is 10 feet away from the base of the wall.

The foot of the ladder is 10 feet away from the base of the wall.

explanation:

Here , the wall , top and foot of the ladder and ground makes a right triangle of which length of ladder

h = 20  is regarded as hypotenuse, angle with ground is θ = 60 ;cos θ = b/h or cos 60 = b/20 or b = 20*cos 60 = 20* 1/2 = 10 feet.

Answer:

6x + 20 + 4x + 80 - 2x=180

6x + 4x - 2x= 180 - 80 - 20

8x = 80

x = 10

The value of x in the triangle is 10, the value of each angle are; 80, 40 , 60 respectively

The total angle can be added as

note that the total angle in the triangle is 180

[tex]6x + 20 + 4x + 80 - 2x=180[/tex]

[tex]6x + 4x - 2x= 180 - 80 - 20[/tex]

[tex]8x = 80x = 10[/tex]

Then we can know the angles as ;

[tex]6x + 20=(6*10) +20 =80\\4x = 4*10 = 40\\80 - 2x = 80 - (2*10) = 60[/tex]

Learn more about triangle at

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Answer:

$1200 gross pay

Step-by-step explanation:

if you worked 40 hours normally and had 10 hours over time, that equation for the gross pay would be X = 20(40) + 30(10)

X = 20(40) + 30(10)

X = 800 + 300

X = 1200

Answer:

Someone is bound to copy paste the links lol

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

Answer:

c) 3

Step-by-step explanation:

Answer:

553

Step-by-step explanation:

Answer:

[tex]x=-2;x=-4[/tex]

Step-by-step explanation:

The solution of the quadratic equation f(x) = 2x² + 12x + 16 will be negative 2 and negative 4.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The function is given below.

f(x) = 2x² + 12x + 16

The root of the equation will be given as,

f(x) = 0

2x² + 12x + 16 = 0

x² + 6x + 8 = 0

x² + 4x + 2x + 8 = 0

x(x + 4) + 2(x + 4) = 0

(x + 4)(x + 2) = 0

x = -2, -4

The solution of the quadratic equation f(x) = 2x² + 12x + 16 will be negative 2 and negative 4.

More about the solution of the equation link is given below.

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Answer:5^15

Step-by-step explanation: I am Smart :>

Answer:

[tex]5^{15}[/tex]

Step-by-step explanation:

[tex]\frac{(5^3)^9}{5^{12}} \\\\\frac{5^{27}}{5^{12}} \\\\5^{15}[/tex]

3 x 9 = 27

27 - 12 = 15

Answer:

x = 5

Step-by-step explanation:

Given

7 + 3(2x - 5) = 3x + 7 ← distribute parenthesis and simplify left side

7 + 6x - 15 = 3x + 7

6x - 8 = 3x + 7 ( subtract 3x from both sides )

3x - 8 = 7 ( add 8 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Answer:

slope:2

Step-by-step explanation:

Slope is rise/run, or change in y/change in x.

With that being said, we only need two points to solve this.

Let's take the points (0,7) and (1,9)

The formula for finding the slope from two points is m=(y2-y1)/(x2-x1).

M is the slope.

y2 would be the y-value of the second point,9. y1 would be the y-value of the first point, 7.

x2 would be the x-value of the second point, 1. x1 would be the x-value of the first point, 0.

Plugging those values in to the formula, we get m=(9-7)/(1-0)

Simplifying, we get m=2/1, which is m=2.

Answer:

In triangle QNP and QNM

3.QN=QN[common side]

so triangle QNP and QNM is CONGRUENT by A.A .S axiom.

Answer:

1. (its already filled out)

2. angle MQN = angle PQN

3. NQ=NQ

4. angle side angle

Step-by-step explanation:

checked on khan academy :)

Answer: 11 kg

Step-by-step explanation:

Given

Shelia buys 33 kg of rice and 9 kg of cornmeal

The amount of flour bought is one-third of the amount of rice bought

The amount of flour is

[tex]\Rightarrow \dfrac{33}{3}=11\ kg[/tex]

Answer:

a.) 10,000

b.) 512

Step-by-step explanation:

Answer:  (8, 9)

Step-by-step explanation:

Answer:

(-4, 1)

Step-by-step explanation:

Answer:

I think the answer is meant to be 32°

Step-by-step explanation:

I took 0.55 which is the angle in radians, multiplied it by the value of 180, and then divided by π

Answer:

34

Step-by-step explanation:

(16+8x)-(-18+8x)

16-(-18)

34

Answer:

17x^2

Step-by-step explanation:

(8x^2+8x)- ( 9x^2+8x)

8x^2+8x + 9x^2-8x

17x^2

Answer:

30

Step-by-step explanation:

For a right triangle there is a formula ---> a² + b² = c²  ("c" is always the side not touching the right angle)

24² + 18² = c²

576 + 324 = c²

900 = c²

30 = c

The 3rd side is 30

Answer:

22

Step-by-step explanation:

308/70 = 4.4

4.4 * 5

Answer:

Uh what are you saying?

Step-by-step explanation:

Thanks for the points btw

9514 1404 393

Answer:

  x = 20

Step-by-step explanation:

The external angle at V is half the difference of the subtended arcs:

  (65° -25°)/2 = x° = 40°/2

  x = 20

Answer:

I would say A.

Step-by-step explanation:

Answer:

volume = 25.1 m³

Step-by-step explanation:

volume = 1/3πr²h = 1/3(3.14)(2²)(6) = 25.1 m³

Answer:

427

Step-by-step explanation:

Find volume

Subtract 5 inches

Answer:

C

explanation:

x = 4/3πr³

cross multiply

3x = 4πr³

cube root both side

³√3x = ³√4πr³

³√3x = ³√4π x r

divide both side by ³√4π

r = ³√3x/4π

Answer:

A,

Step-by-step explanation:

Opposites sides are equal in a rectangle.

Answer:

The answer is: "It has to be a rectangle.  I measured the diagonals to be sure they were the same length."

Step-by-step explanation:

The other properties are true of a rectangle as well, but they could also be other shapes.

"It has to be a rectangle.  The opposite sides are the same length."

This could also be describing a rhombus or square.

"It has to be a rectangle because it is not a square."

This could also be a rhombus, trapezoid, or even kite.

"It has to be a rectangle.  I made sure that the two 8-foot boards are parallel and that the two 6-foot boards are parallel."

This can describe any parallelogram.  Just because the sides are congruent and parallel does not mean that there are four 90degree angles formed.

"It has to be a rectangle.  I measured the diagonals to be sure they were the same length."

This is a property of rectangle diagonals.  They will always be congruent.

Answer:

2x-5

Step-by-step explanation: