Select the correct answer.
If and , find .

A.

B.

C.

D.

Answer:

100π - (96 + (13/2)√231 ) m^2

Step-by-step explanation:

We will solve this by finding the area of the triangles (the quadrilateral is cut by the diameter) and subtract it from the area of the circle.

There is a circle theorem which states that if a triangle is in the semicircle and the hypothenuse extends to the length of the diameter, the angle at B here is 90 degrees.

Since angle B is 90 degrees we can use the Pythagorean theorem (a^2 + b^2 = c^2) to find Line AC.

so 144 + 256 = 400

√400 = 20

So diameter is 20

Finding the area of the top triangle:

1/2(12x16) = 96cm^2

For the bottom triangle, we need the side DC to find the area. To find it we will apply the theorem once again.

400 = 169 + DC^2

DC^2 = 231

DC = √231

so the area of the bottom triangle is 1/2(13√231) = (13/2)√231

Now we add the area of the triangles for the quadrilateral and subtract from the circle area.

The circle area is 100π (πr^2)

Hence, the area of the shaded region is:

100π - (96 + (13/2)√231 ) m^2

Answer:

g(x) has a larger slope

Step-by-step explanation:

If you look closely, g(x) has a slope of 5.

Answer:

x=3y+6

Step-by-step explanation:

1.

Let's solve for x.

2x−6y=12

Step 1: Add 6y to both sides.

2x−6y+6y=12+6y

2x=6y+12

Step 2: Divide both sides by 2.

2x ÷2= (6y+12)÷2

x=3y+6

Answer:

3 y=9.25...................

Answer:

34 + 14 = 48

Step-by-step explanation:

have a great day

Step-by-step explanation:

Let x = larger number

Let y = smaller numer

(1) x + y = 48

(2) x = y + 14

Solving (1) for x:

x = 48-y

Substituting this into (2) and solving for y:

48-y = y+14

48-2y = 14

-2y = -34

y = 17

x = 48-y = 31

So, the smaller number is 17 and the larger number is 31

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Answer:

the original price of the sneakers is $45

Answer:

45$$$$$

Step-by-step explanation:

Answer:

b = 22

Step-by-step explanation:

74 + 74

= 148

180 - 148

= 22

i hope this work for you

Answer:V≈3015.93

Step-by-step explanation:this is the answer

Answer:

First part: k=2

Second part: a=1

Third part: b=2 c=-1 d=-2

Forth part: x^2-x-12

Step-by-step explanation:

Answer:

Yes, 6.

Step-by-step explanation:

it says it on the picture?

Anyways,

21-3=18

18+18=36

36÷6=6

Answer:  21 – 3 + 18 ÷ 6 = 6. Twenty-one minus 3 is 18, then add 18 to that to get 36. Then divide that by 6 to get the correct answer, 6

Step-by-step explanation:

Answer:

17 seconds

Step-by-step explanation:

h(t) represents height, we want to know when the ball will return to a height of 28 feet. So our equation is..

28 = -2t² + 34t + 28

Now solve for t...

0 = -2t² + 34t (subtract 28 from both sides)

0 = t² - 17t (divide both sides by -2)

0 = t(t - 17) (factor out a t)

So

t = 0

or

t - 17 = 0

t = 17

0 seconds is the initial height. At 17 seconds, the ball will return to that height

i hope this work for you

Answer:

10

Step-by-step explanation:

10 and 8 would be in between 10 and 9 hope this can help

We started by finding the area of the two respective circles, then we found the area of the path, after which we estimated the number of sand bags needed to be 51.8 bags

Ans 51.8 bags

Given data

Area of path = Area of outer edge - area of garden

Area of path = πD^2/4 - πd^2/4

Area of path = 3.142*36^2/4 - 3.142*30^2/4

Area of path = 3.142*1296/4 - 3.142*900/4

Area of path = 4072.032/4 - 2827.8/4

Area of path = 1018.008 - 706.95

Area of path = 311.058 square yd

1 bag of sand will cover 6yd^2

x bags of sand will cover 311.058 yd^2

cross multiply we have

x = 311.058/6

x = 51.843 bags of sand

Learn more about the area of circle here:

https://brainly.com/question/14068861

Answer:

B

Step-by-step explanation:

2 solutions because they is solution to it

Answer:

hello

15 x² + 100 x - 70 - 17 x + 6 x²

=  9 x² + 83 x - 70

9 x² + 83 x - 70 = 0

Δ = 83 ² - 4 ( 9 * - 70 ) = 6 889 + 2 520 = 9 409 = 97 ²

x 1  = ( - 83 - 97 ) / 18 = -  180/18 = - 10

x 2 = ( - 83 + 97 ) / 18 =  14 /18  = 7 /9

Step-by-step explanation:

Step-by-step explanation:

5÷3=5/3 .The Numerator is > Denominator. So the fraction 5/3 is an Improper Fraction.

So the Proper Factored Form=1+2/3=1 2/3.

In fact 1 2/3 is a Mixed Fraction. But since its Numerator 2 < Denominator 3 ( of the Factional part)

The mathematical interpretation of "what fraction of 5 is 3?" is 5/3

First, we need to identify the numerator and the denominator

The numerator is the number on top of a fraction

The denominator is the number beneath a fraction

Since 3 is said to be a fraction of 5:

The numerator = 5

The denominator = 3

Fraction = Numerator / Denominator

Fraction = 5/3

Therefore, the mathematical interpretation of "what fraction of 5 is 3?" is 5/3

Learn more here: https://brainly.com/question/9492789

See picture for math work and answer.

Answer:

y = - 2x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (4, - 6) and (x₂, y₂ ) = (0, 2 )

m =  =  =  = - 2

The line crosses the x- axis at (0, 2 ) ⇒ c = 2

y = - 2x + 2 ← equation of line

Answer:

28 units^2

Step-by-step explanation:

A=1/2bh

base is 8

height is 7

A=1/2*56

A=28 units^2

Answer:

Velocity = 1.31 millimetres per second

Step-by-step explanation:

Given:

Total distance = 131 millimetres

Total time taken = 10 seconds

Find:

Velocity

Computation:

Velocity = Total distance / Total time taken

Velocity = 131 / 10

Velocity = 1.31 millimetres per second

Answer:

8.3

Step-by-step explanation:

5+10+8+9+9+9=50

50/6=8.333333333333333333333333333333333333333333

=8.3

Answer:

The mean is basically the average.

In order to find avergae you add up all the given numbers and then divide it by the amount of given numbers.

in this case…

5 + 10 + 8 + 9 + 9 +9 = 50

There are 6 given values, which are 5, 10, 8, 9, 9, 9.

We divide 50 (the total number) by the given amount (6).

50/ 6 = 8.33333…

Your answer is 8.3

Answer:

f(7) = 64

Step-by-step explanation:

To evaluate f(7) substitute x = 7 into f(x) , that is

f(7) = [tex]\frac{1}{2}[/tex] × [tex]2^{7}[/tex] = [tex]\frac{1}{2}[/tex] × 128 = 64

Answer:64

Step-by-step explanation:

BIG BRAIN

If you're looking for the cartesian form of this straight line then that would be,

[tex] - 3x - 2y + 8 = 0[/tex]

If you're looking for the equation in the form of y=mx+b, then:

[tex]y = - \frac{3}{2} x + \frac{8}{2} [/tex]

[tex]y = - \frac{3}{2} + 4[/tex]

Where -3/2 is the slope of the line

and 4 is the intersection with the y-axis (0,4)

if you want to graph this line, just take values of x and find their y, and plot these points.

finally join the points to get the graph of the line.

hope this clears things up

Answer:

x=12

Step-by-step explanation:

Step-by-step explanation:

[tex] \red{\frak{Given}} \begin{cases} & \sf {13\ cos \theta\ -\ 5\ =\ 0\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \big\lgroup Can\ also\ be\ written\ as \big\rgroup} \\ & \sf {cos \theta\ =\ {\footnotesize{\dfrac{5}{13}}}} \end{cases}[/tex]

Here, we're asked to find out the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0. In order to find the solution we're gonna use trigonometric ratios to find the value of sinθ and cosθ. Let us consider, a right angled triangle, say PQR.

Where,

As we know that, 13 cosθ - 5 = 0 which is stated in the question. So, it can also be written as cosθ = 5/13. As per the cosine ratio, we know that,

[tex] \rightarrow {\underline{\boxed{\red{\sf{cos \theta\ =\ \dfrac{Adjacent\ side}{Hypotenuse}}}}}} [/tex]

Since, we know that,

So, we will find the PQ (Opposite side) in order to estimate the value of sinθ. So, by using the Pythagoras Theorem, we will find the PQ.

Therefore,

[tex] \red \bigstar {\underline{\underline{\pmb{\sf{According\ to\ Question:-}}}}} [/tex]

[tex]\rule{200}{3}[/tex]

[tex] \sf \dashrightarrow {(PQ)^2\ +\ (QR)^2\ =\ (RP)^2} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ +\ (5)^2\ =\ (13)^2} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ +\ 25\ =\ 169} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ =\ 169\ -\ 25} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ =\ 144} \\ \\ \\ \sf \dashrightarrow {PQ\ =\ \sqrt{144}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{PQ\ (Opposite\ side)\ =\ 12}}}}_{\sf \blue{\tiny{Required\ value}}}} [/tex]

∴ Hence, the value of PQ (Opposite side) is 12. Now, in order to determine it's value, we will use the sine ratio.

[tex] \rightarrow {\underline{\boxed{\red{\sf{sin \theta\ =\ \dfrac{Opposite\ side}{Hypotenuse}}}}}} [/tex]

Where,

Therefore,

[tex] \sf \rightarrow {sin \theta\ =\ \dfrac{12}{13}} [/tex]

Now, we have the values of sinθ and cosθ, that are 12/13 and 5/13 respectively. Now, finally we will find out the value of the following.

[tex] \rightarrow {\underline{\boxed{\red{\sf{\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}}}}}} [/tex]

[tex]\rule{200}{3}[/tex]

[tex] \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ {\footnotesize{\dfrac{\Big( \dfrac{12}{13}\ +\ \dfrac{5}{13} \Big)}{\Big( \dfrac{12}{13}\ -\ \dfrac{5}{13} \Big)}}}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ {\footnotesize{\dfrac{\dfrac{17}{13}}{\dfrac{7}{13}}}}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{13} \times \dfrac{13}{7}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{\cancel{13}} \times \dfrac{\cancel{13}}{7}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{7}}}}}_{\sf \blue{\tiny{Required\ value}}}} [/tex]

∴ Hence, the required answer is 17/7.

Answer:

34

Step-by-step explanation:

substitute x = 6, y = - 2 into the expression

5x - 2y

= 5(6) - 2(- 2)

= 30 + 4

= 34

Answer:

Option B. 7

Step-by-step explanation:

Hello!

We can solve this by plugging in -2, in the equation [tex]\bold{f(x) = |1 - 3x|}[/tex]

Solve:

Remember:

Answer:

-1

hope it helps

Answer:

-1

Step-by-step explanation:

I graphed it out and got the answer. Plz give brainliest if you got it

Answer:

True

Step-by-step explanation:

1 Meter is equal to 100 centimeters

Answer: True

Explanation: 1 meter=100 cm

Answer:

The price for 1 ounce of gold is around £1,451 which is around 1,922$ and the price for 1 ounce of silver is around £19.17 which is around 25$.