Five Identical semicircles are arranged as shown.
Find the diameter of one circle

2 sin A = √3

=》sin A = √3/2

■ If sin A = √3/2, then A = 60° (trigonometric value)

So,

cot A = cot 60° = 1/√3

1 - cot²A / 2 cot A

= 1 - (1/√3)² / 2*(1/√3)

= 1 - (1/3) / 2/√3

= 2/3 / 2/√3

= 2/3 / 2√3/3

Cancel out the 3 in the denominator.

= 2/2√3

= 1/√3

1 - cot²A / 2 cot A = 1/√3

_____

● See the attachment for the trigonometric values.

Hope it helps ⚜

Answer:

Step-by-step explanation:

Rewrite as:

Substitute the value of sinA:

Answer:

the BIG B (big base) is 2(5*6)*½ which is 30.

the bottom is 8*5 which is 40.

the sides are 8*6.5 which is 52 TIMES TWO becuase there is another WHICH IS 104.

30+40+104=174 SQUARE FEET

Using proportions, it is found that the old minimum wage was of $8.50.

The equation for the relationship between these wages is:

[tex]1.029412x = 8.75[/tex]

[tex]x = \frac{8.75}{1.029412}[/tex]

[tex]x = 8.50[/tex]

The old minimum wage was of $8.50.

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

She saved 20%.

The price of the table was 250 and she bought it for 200, meaning 1/5 of the original price was marked off. 1/5 = 20% which means it was 20% off the original price.

Answer:

The answer is a

Its a because 13 times 3 is 39

13 times 4 is 52

and 13 times 5 is 65

Credit to: alizahalder2007

Answer:

z = 2.25xy

Step-by-step explanation:

Given z varies jointly as x and y then the equation relating them is

z = kxy ← k is the constant of variation

To find k use the condition x = 3, y = 8 and z = 54 , then

54 = k × 3 × 8 = 24k ( divide both sides by 24 )

[tex]\frac{54}{24}[/tex] = k = 2.25

z = 2.25xy ← equation of variation

Answer:

Step-by-step explanation:

7mi/gn/3simplify the complex fraction

Answer:

c = $5.50

Step-by-step explanation:

Since Gage has the exact amount of change, we know the total of all 5 sodas and all 5 cheeseburgers, so we can make an equation where:

c = cost of one cheeseburger

s = cost of one soda

Gage is buying soda and cheeseburgers for himself and 4 friends, so that is 5 of each soda and 5 of each cheeseburger, so we multiply the costs by 5 and set it equal to the total amount of all the food and drinks.

5s + 5c = 33.75

We are given the price of soda, however, so we can insert that number into the equation for s.

5(1.25) + 5c = 33.75

Then we can simplify and solve for c.

6.25 + 5c = 33.75

5c = 27.5

Remember, we're solving for the price of one cheeseburger, so we have to divide this number by 5.

c = 5.50

So one cheeseburger costs $5.50.

Hope this helps.

Answer:

888.125

Step-by-step explanation:

(225/.25) - 11.875

(Divide 225 by .25)

900 - 11.875

888.125

Answer:

15.03m

Step-by-step explanation:

h=V/πr2

h=1700/π·62

h≈15.0313

Hope that helps

Jon pays $40 and $15. This means that he pays a total of $55. You multiply the total cost by 0.05, which is $2.75. To convert a number to a percentage, multiply it by 100. So, 0.05 as a percent is equal to 5%.

His sales tax will be $2.75.

Answer:

Angle J is congruent to Angle G

Answer:

-6+12x

Step-by-step explanation:

9-15+12xmultiply -3(5-4x), calculate the difference

-6+12x

There are 7 dimes and 9 quarters in his pocket.

If there are 16coins in total, hence;

If hamid has $2. 95 in dimes and quarters, this is expressed as:

From equation 1

Substitute equation 3 into 2 to have:

0.1x + 0.25y = 2.95

0.1(16-y) + 0.25y = 2.95

1.6 - 0.1y + 0.25y  = 2.95

1.6 + 0.15y = 2.95

0.15y = 1.35

y = 1.35/0.15

y = 9

Since x + y = 16

x = 16 - y

x = 16 - 9

x = 7

Hence there are 7 dimes and 9 quarters in his pocket.

Learn more on simultaneous equations here: https://brainly.com/question/16863577

Answer:

Line 3 is the only one that is not a line of symmetry.

Answer:

5

Step-by-step explanation:

Answer:

a straight line that does not go through the origin.

[tex]\text{Given that,}\\\\(x_1,y_1) = (0,-1) ~ \text{and}~ (x_2, y_2) = (3,-3)\\\\\text{Slope, m}= \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{-3+1}{3-0} = -\dfrac 23\\\\\\\text{Point slope - form}\\\\y-y_1 = m(x-x_1)\\\\\implies y - (-1) = -\dfrac 23 (x -0)\\\\\implies y +1 = -\dfrac 23 x[/tex]

Step-by-step explanation:

(x-2)³ = (x-2) × (x-2) × (x-2)

(x-2) × (x-2) = x²-2x-2x + 4 = x² -4x + 4

(x² -4x + 4) (x-2) = x³ -2x² -4x² +8x +4x -8

x³ -6x² +12x - 8

Answer:

x < 56

Step-by-step explanation:

- x + 40 > -16

-x + 40 - 40 > -16 -40

-x > -56

-x / -1 > -56 / -1

x < 56

Answer:

X=4

Step-by-step explanation:

28−(3x+4)=2(x+6)+x

28+−1(3x+4)=2(x+6)+x(Distribute the Negative Sign)

28+−1(3x)+(−1)(4)=2(x+6)+x

28+−3x+−4=2(x+6)+x

28+−3x+−4=(2)(x)+(2)(6)+x(Distribute)

28+−3x+−4=2x+12+x

(−3x)+(28+−4)=(2x+x)+(12)(Combine Like Terms)

−3x+24=3x+12

−3x+24=3x+12

Step 2: Subtract 3x from both sides.

−3x+24−3x=3x+12−3x

−6x+24=12

Step 3: Subtract 24 from both sides.

−6x+24−24=12−24

−6x=−12

Step 4: Divide both sides by -6.

−6x

−6

=

−12

−6

x=2

Answer:

x = 2

Step-by-step explanation:

28 - 3x + 4 = 2x + 12 + x

24 - 3x = 3x + 12

     + 3x   +3x

24 = 6x + 12

-12          -12

12 = 6x

x = 2

Answer:

the correct answer is $80

Step-by-step explanation:

your welcome(:

can I get the brainliest?(:

thank me if it was right for you too

Answer:

It has no solution since it is a simultaneously equation. And when you solve to find x and y it gives 0

Answer:

Because it can't be written as a Ratio of two integers

Answer:

the answer is 5 ^_^

Step-by-step explanation:

hopeee it helpss ^_^

Answer: Part A. Olivia- y=x+4 Camille- idr.k but it increases by 1/2 ever time

Part B. The slope represents the rate of change and the y-intercept indicates the value of y when x is 0.

Part C. Olivia's puppy weighed the most. It weighed 5 pounds.

Part D. Camille's puppy only gained 1/2 a pound each week.

Step-by-step explanation: