sin 45 x sin 60 equals to 1 minus under root 3 upon 2 under root​

Solution: 25 × $9.85= $246.25 purchase price

25 × $11.22 = $280.5 sale price

$280.5 – $246.25 = $34.25 profit in dollars

$34.25 ÷ $246.25 = 0.139 = 13.9% ROI

Purchase price of the share is equals to 246.25dollars.

Profit percentage is equals to 13.9 percentage ( nearest tenth).

" Purchase price is defined as the total amount paid to buy any product."

Formula used

Profit = Selling price - Purchase price

Profit percentage = [tex]\frac{profit}{cost price} (100)[/tex]

According to the question,

Total number of shares = 25

Purchase price of one share =  9.85 dollars

Selling price of 1 share = 11.22 dollars

Therefore,

Purchase price of 25 shares = (9.85 × 25 )dollars

                                               = 246.25 dollars

Selling price of 25 shares = (11.22 × 25) dollars

                                           = 280.5 dollars

Selling price > Purchase price

Therefore,

Profit = Selling price - Purchase price

         = 280.5 - 246.25

         = 34.25 dollars

Substitute the value in the formula we get,

Profit percentage = [tex]\frac{34.25}{246.25} (100)[/tex]

                              = 13. 9 percentage ( nearest tenth)

Hence, purchase price of the share is equals to 246.25dollars.

Profit percentage is equals to 13.9 percentage ( nearest tenth).

Learn more about purchase price here

https://brainly.com/question/15623552

#SPJ2

Answer:

aₙ=  n²-6

Step-by-step explanation:

The sequence:

- 5, -2, 3, 10, 19, ...

The difference between terms:

3, 5, 7, 9

The next term would be: 19+11= 30

Let's work out the formula:

aₙ= a₁+n²-1= -5+ n²-1= n²-6

Let's test this formula for 5th and 6th terms:

So the nth term is:

Answer:

D. 44 dm³

Step-by-step explanation:

Volume of cuboid equals:

a × h

4 × 11

= 44

The volume of the shape is 44 dm³.

Answer:

  O True

Step-by-step explanation:

If we substitute (x, y) = (0, 0) into both inequalities, we have ...

  0 < 2·0 +4   ⇒   0 < 4 . . . true

  0 > -2·0 -2   ⇒   0 > -2 . . . true

The point (0, 0) satisfies both inequalities, so is contained in the solution set.

Answer:

Step-by-step explanation:

Since none of the answer choices match the drawing of the gardener, we assume the question is referring to the drawing of the partner.

The gardener's drawing is 1/4 of actual size. So, in terms of the gardener's drawing, actual size is ...

  gardener's drawing = (1/4)actual size

  actual size = 4(gardener's drawing)

__

The partner's drawing is 1/20 of actual size, so is ...

  partner's drawing = actual size/20 = (4(gardener's drawing))/20

  partner's drawing = (4/20)(gardener's drawing)

  partner's drawing = (gardener's drawing)/5

__

Then the {length, width} of the partner's drawing are ...

  partner's drawing {length, width} = {15 in, 10 in}/5 = {3 in, 2 in}

The partner's drawing has a length of 3 inches and a width of 2 inches.

Answer:

2nd option: (0.5, 7), maximum; (2, 1) point of inflection; (3.5, -5), minimum.

Step-by-step explanation:

The maximum point, or a point of the graph with the highest y-value, is at

(0.5, 7).

The minimum point, or a point of the graph with the lowest y-value, is at

(3.5, -5).

The point of inflection is where the graph begins to change direction. This is at (2, 1).

Therefore, the 2nd option is correct.

Answer:

It is 49

Step-by-step explanation:

Divide 98 by 2 to get semicircle radius.

Answer:

49 meters

Step-by-step explanation:

The radius is half of the diameter

98 divided by 2 is 49 which is the radius of the semicircle

Answer:

Answer: Choice C)  

Stretched vertically, flipped over x axis, shifted 7 units down

Step-by-step explanation:

The graph of g(x) is graph of f(x) reflected along the y - axis. Its magnitude is also multiplied by 2.

A cubic function is of the form f(x) = ax³ + bx² + cx + d, where a, b, c, and d are constants and a ≠ 0. It has a degree of 3 and has 3 possible roots.

We have the following functions -

f(x) = x³

g(x) = -2x³

The graph of g(x) is graph of f(x) reflected along the y - axis. Its magnitude is also multiplied by 2. Refer to the graph attached.

Therefore, the graph of g(x) is graph of f(x) reflected along the y - axis. Its magnitude is also multiplied by 2.

To solve more questions on straight lines, visit the link below-

https://brainly.com/question/3515440

#SPJ5

Answer:

29:21

Step-by-step explanation:

The ratio of the diagonal to the base of ration is written as 58:42.

The ratio has the greatest common factor as 2.

58÷2:42÷2

29:21

The simplified ratio becomes 29:21.

Answer: [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

When any number has a negative exponent, all the negative exponent is doing is flipping the sides.

When we plug -3 in for x we get [tex]-3^{-2}[/tex].

Now just imagine the -3 in fraction form as [tex]\frac{-3}{1}[/tex]. And all you do now is just flip the sides to get [tex](\frac{1}{-3} )^{2}[/tex]

And now apply the exponent 2 to the 1 and negative 3.

1 to the power of 2 is just 1

-3 to the power of 2 is 9.

So your answer is [tex]\frac{1}{9}[/tex]

Answer: true

Step-by-step explanation:

Answer:

71

Step-by-step explanation:

4, 7, 12, 21, 38, ...

next term:

nth term:

Answer:

I think A

Step-by-step explanation:

I'm not really sure but I think it's A assuming the triangle is not an equilateral

Answer:

3

Step-by-step explanation:

Answer:

The first choice.

Step-by-step explanation:

Direct variation is represented by y = kx where k is a constant and the graph passes through the origin.

Here k = 3..

Answer:19.7

Step-by-step explanation:

Sin‐(7.5/22.3) on your calculator

The answer to 3 significant figures is 19.7

Size of angle YZX for the given measurements of triangle YZX is equal to 19.651°( 3 significant figure).

" Angle is defined as when two rays meet at one point known as vertex."

Formula used

[tex]sin\theta = \frac{ opposite side }{Hypotenuse}[/tex]

According to the question,

As shown in the figure,

In triangle YXZ,

Angle X = 90 degrees

Opposite side to ∠YZX , XY = 7.7cm

Hypotenuse ,  ZY = 22.3 cm

Substitute the value in the formula to get the value of size of angle YZX,

[tex]sin YZX = \frac{XY}{ZY}[/tex]

⇒[tex]sin YZX = \frac{7.5}{22.3}[/tex]

⇒[tex]sin YZX = 0.3363[/tex]

⇒ [tex]YZX = sin^{-1} (0.3363)[/tex]

⇒∠YZX = 19.651°

Hence, size of angle YZX for the given measurements of triangle YZX is equal to 19.651°( 3 significant figure).

Learn more about angle here

https://brainly.com/question/7116550

#SPJ3

Answer:

840

Step-by-step explanation:

Let x be the total earning.

3/4 × x = 630

x = 630 × 4/3

x = 840

The worker’s total earning for the month is 840.

Answer:

6

Step-by-step explanation:

rearrange the numbers from smallest to biggest:

-19, -14, -9, -3, 6, 8, 14, 19, 20

the set of data the question requires is the middle data. there are 9 sets of data. the middle data = (9 + 1) ÷ 2 = 5

find the fifth piece of data from the rearranged order.

ans: 6

Answer:

6

Step-by-step explanation:

gotchu G

Answer:

Graph using graphing calc or desmos.

Step-by-step explanation:

Answer:

your graph is below. i have algebra 2 on flvs.

Answer:

Option D

Step-by-step explanation:

All the other expressions are correct but in Expression 3 , Sarah incorrectly multiplied 1/2(-6) while destroyed whole of her answer. She forgot to make 3 negative.

Answer:

a = - 3, b = 5

Step-by-step explanation:

To rationalise the denominator multiply the numerator/ denominator by [tex]\sqrt{2}[/tex]

= [tex]\frac{\sqrt{2}(10-\sqrt{18}) }{(\sqrt{2})^2 }[/tex]

= [tex]\frac{10\sqrt{2}-\sqrt{36} }{2}[/tex]

= [tex]\frac{10\sqrt{2}-6 }{2}[/tex]

= 5[tex]\sqrt{2}[/tex] - 3

= - 3 + 5[tex]\sqrt{2}[/tex] ← in the form a + b[tex]\sqrt{2}[/tex]

with a = - 3 and b = 5

Answer:

m∠QPR = 20°

Step-by-step explanation:

Step 1: Find x

4x + 27 + 9x - 115 = 107

13x - 88 = 107

13x = 195

x = 15

Step 2: Find m∠QPR

9(15) - 115

135 - 115

m∠QPR = 20°

[tex]\displaystyle\bf\\g^{2x+1}=g^{3x-2}\\\\g=g\\\\3x-2=2x+1\\\\3x-2x=1+2\\\\\boxed{\bf x=3}[/tex]

Answer:

D, C, A, B

Step-by-step explanation:

Find common factor:

60 is the common denominator

2/5=24/60

2/3=40/60

1/4=15/60

1/10=6/60

Answer:

A. 2/5 = 0.4

B. 2/3 = 0.66

C. 1/4 = 0.25

D. 1/10 = 0.1

Arranging them in the box we have

D , C , A , B

Since D is the smallest followed by C followed by A followed by B which is the largest

Hope this helps

Answer:

x = -1

Step-by-step explanation:

4x + 4 = 0

Subtract 4 on both sides.

4x = 0 - 4

4x = -4

Divide both sides by 4.

x = -4/4

x = -1

Answer:

So the value of x is -1

Step-by-step explanation:

4x+4=0

Subtracting 4 on both sides

4x+4-4=0-4

4x=-4

Dividing 4 on both sides

x=-4/4

x=-1

Answer:

8.75 km.

Step-by-step explanation:

You can set up a ratio of the map to the actual distance of [tex]\frac{1}{50000}[/tex].

Then, this ratio can be used to cross multiply and divide to get an equivalent ratio for the distance:

[tex]\frac{1}{50000}[/tex]=[tex]\frac{17.5 cm}{x cm}[/tex] By cross-multiplying we have x (in centimeters) = 17.5×50000. This tells us that x = 875,000 cm.

However, the answer asks for the distance in kilometers, so we need to convert it. There are 100,000 centimeters in a kilometer, so by dividing: 875000÷100000=8.75 kilometers.

Answer:

They have 23 dimes

Step-by-step explanation:

Let x be the number of dimes

1 dime = 0.1 dollar

x dimes = 0.1x dollars

They found there were 14 more quarters than dimes.

No. of quarters = x+14

1 quarter = 0.25 dollar

(x+14) quarter =0.25 (x+14)

The number of nickels was 8 less than 4 times the number of dimes.

So, No. of nickels= 4x-8

1 nickel = 0.05 dollar

(4x-8) nickel = 0.05(4x-8) dollar

The total value of the nickels, dimes, and quarters was $15.75.

So,0.1x+0.25 (x+14)+ 0.05(4x-8)=15.75

x=23

Hence they have 23 dimes

Answer:

x = 52

Step-by-step explanation:

You are given ratios, and the 1st ratio is being multiplied by 4 to get the second ratio. How did I find this? Divide 48 by 12 and you get 4. To find x, simply multiply 13 by 4 and you should get 52