A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct in
your answer

Answer:

AB = 1.4 or 7/5

Step-by-step explanation:

(Excuse my rambling but I wanted to be sure of myself)

AD = 2(5/2) = 5

AD is a diameter.

any triangle in a circle with the hypotenuse as the diameter is a right triangle.

Draw a line from point A to point C.

ΔACD is a right triangle.

Solve for ∠CAD:

sin CAD = 3/5 = 0.6000

∠CAD = 36.87°

arc CD = 2 x 36.87°  = 73.74°

arc BC = arc CD = 73.74°

arc DB = 147.48°

∠BAD = 1/2 (147.48°) = 73.74°

draw a line from point D to point B

ΔBAD is a right triangle.

cos 73.74° = AB/5

AB = 1.4

Answer:

when you substitude 3 for b in (2b^3)+5 this should equal 23

Step-by-step explanation:

(2b^3) +5

(2(3)^3) +5

(2(9)) +5

(18) +5

Answer:

Option D

Step-by-step explanation:

Measure of adjacent side = 20

Measure of Hypotenuse = 24

Since, measures of adjacent side and Hypotenuse have been given in the question, cosine ratio will be applied to find the measure of angle x.

cos(x) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

cos(x) = [tex]\frac{20}{24}[/tex]

x = [tex]\text{cos}^{-1}(0.833)[/tex]

  = 33.55°

  ≈ 33.6°

Option D is the answer.

Answer:

The answer for A: The coordinates for G is (5,3) so plot that in.

The answer for B: "G and E are 5 units away from the y-axis"

The answer for C: "The distance between G and E is 10 units"

Hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠ABD ≅ ∠BDE..... (given).... (1)

m∠ABD + m∠CBD = 180°... (straight line ∠'s)... (2)

From equations (1) & (2)

m∠BDE + m∠CBD = 180°....(3)

m∠BDE + m∠CDB = 180°... (straight line ∠'s)... (4)

From equations (3) & (4)

m∠BDE + m∠CBD = m∠BDE + m∠CDB

m∠CBD ≅ m∠CDB.. (Proved)

Answer:

Step-by-step explanation:

sean has 20 +2 : 2 x 7 = 14 + 20 = 34  

max has 0 + 5: 5 x 7 = 35

so after 7 week max will have more money

Answer:

(-3 ,-4)

I have made it in above picture

hope it helps

Answer:

student randomly selected from a list of all students at the school

answer is 4√2

because, using pythagoras theorem

x² = 4² + 4²

x² = 16 + 16

x² = 32

x = √32

x = √(16 × 2)

x = √16 × √2

x = 4 × √2

x = 4√2

Answer:

1. adjacent

2. vertical

3. adjacent

4. vertical

Step-by-step explanation:

1. adjacent - 2 angles are next to each other

2. vertical - 2 angles are opposite each other

3. adjacent - 2 angles are next to each other

4. vertical - 2 angles are opposite each other

Answer:

A and B

Step-by-step explanation:

Hope this helped :)

Answer:

h = 2 yd

b = 8 yd

The area of the trapezoid of 12 yd

Step-by-step explanation:

Answer:

2400

Step-by-step explanation:

Answer:

get some more help I don't understand

Answer: x=30, Good Luck!

Step-by-step explanation:

45/27 = 1.6666666...

1.66666...(18) = 30

Answer:

3\16

Step-by-step explanation:

movement of snail per hour,1/8×3/2=3/16

Answer:

Presumably this is a multiple choice question, and without seeing the potential answers, we can't tell you which ones are correct.

A few things can however be said about this function:

1) It describes a parabola that extends upward infinitely.  We can see this because it's in the classic format ax² + bx + c, and all terms are positive.

2) We can find the x-intercepts by solving for zero.  In this case we can do that by factoring it:

x² + 9x + 18 = 0

x² + 3x + 6x + 18 = 0

x(x + 3) + 6(x + 3) = 0

(x + 6)(x + 3) = 0

So the x intercepts occur at (-6, 0) and (-3, 0)

3) we can find its vertex by taking its derivative and solving for zero:

f'(x) = 2x + 9

0 = 2x + 9

x = -4.5

We can then plug that coordinate into the original function to find the y coordinate:

f(x) = x² + 9x + 18

f(-4.5) = 20.25 - 40.5 + 18

= -2.25

So the vertex is at (-4.5, -2.25)

4) As mentioned, the derivative of f(x) is f'(x) = 2x + 9.  The integral is:

x³ / 3 + 9x² / 2 + 18x + C

Answer:

[tex]\huge\boxed{\sf x = 3}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x+1}{2} + \frac{x}{3} = 3\\\\LCM = 6\\\\So, Multiply \ both \ sides \ by \ 6\\\\ (\frac{x+1}{2} * 6) + (\frac{x}{3} * 6) = 3*6\\\\3(x+1) + (x*2) = 18\\\\ 3x + 3 + 2x = 18\\\\5x + 3 = 18\\\\Subtract \ 3 \ to \ both \ sides\\\\ 5x = 18-3\\\\5x = 15\\\\Divide \ both \ sides \ by \ 5\\\\\boxed{ x = 3}\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

Start time: 2:18:09 pm

End Time : 7:52:36 pm

Step-by-step explanation:

Plus these numbers

2:18:09

5:34:27

_______

2+5 = 7

18+34 = 52

09+27 = 36

7:52:36

Answer:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count

Step-by-step explanation:

Solve with yourself

Answer:

98pi

Step-by-step explanation:

Area of circle: pi(r)^2

A1=pi(7)^2

A2=pi(7)^2

A2+A1=98pi

Answer:

sorry hunny you on your own

Answer: There are 38 dogs, i got this by guessing the number and plugging it in

Step-by-step explanation:

19 x 5 = 95

19 x 2 = 38

95 + 38 = 133

Answer:Nancy completed more of the essay.

Step-by-step explanation:4/6 + 2/6 = 6/6 = Nancy

3/6 + 2/6 = 5/6 = Evan

Therefore Nancy did more of the essay.