∆ABC is an equilateral triangle. Find the angle of rotation that maps A to B.
Plz give an explanation and correct answer to get brainliest

Answer:

[tex]y=-50x^2+300x+2000[/tex].

Step-by-step explanation:

It is given that a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week.  

[tex]Revenue=10\times 200=2000[/tex]

If he reduces the price by $1,then he sells 50 more candle sets each week.

[tex]Revenue=(10-1)\times (200+50)=9\times 250=2250[/tex]

If he reduces the price by x $1,then he sells 50x more candle sets each week.

[tex]R(x)=(10-x)\times (200+50x)[/tex]

[tex]R(x)=10(200+50x)-x(200+50x)[/tex]

[tex]R(x)=2000+500x-200x-50x^2[/tex]

[tex]R(x)=-50x^2+300x+2000[/tex]

It can be written as

[tex]y=-50x^2+300x+2000[/tex]

Therefore, the situation can be modeled by the equation [tex]y=-50x^2+300x+2000[/tex].

Answer:

This situation can be modeled by the equation y = -50 x2 + 300x +  2,000 and by graph Y.

Step-by-step explanation:

Your welcum

Answer:

1,675.516

Step-by-step explanation:

The formula for a cone is V = pi r^2 h/3.

Plugging in the values of the radius and height, V = pi 10^2 16/3

Solving, you get:

V = pi 100 5.3333333

V = 1,675.516

Answer:

x+9

Step-by-step explanation:

If we use syntetic division we get that

[tex]x^2+2x-63=(x+9)(x-7)[/tex]

Answer:

(x+9)(x-7)

Step-by-step explanation:

For this trinomial, we will factor the constant at the end into 7 and 9.  From here we will break down the trinomial into a binomial form.

(x + or - #) ( x + or - #)

We know that our middle value is positive so we want the larger factor to be positive, and we know our constant is negative, so we want the smaller value to also be negative, so that when multiplied together we still get back the original trinomial.

(x + 9) (x - 7) = x^2 + 9x - 7x - 63 = x^2 + 2x - 63

Cheers.

Answer:

6/50

Step-by-step explanation:

Jenny pulled out 6 purple tiles out of the 50 trials

Answer: The experimental probability of Jenna pulling a purple tile is 6/50.

Step-by-step explanation:

In her experiment, Jenna pulled out 6 purple tiles out of the 50 total tiles she pulled. This would make the experimental probability of her pulling out a purple tiles 6/50.

Here is your answer!!!

Cube root of 10648 is 22.

Answer:

22

Step-by-step explanation:

[tex]\sqrt[3]{10648}[/tex] factors into [tex]\sqrt[3]{22^{3} }[/tex]

You then apply the radical rule: [tex]\sqrt[n]{a^{n} }[/tex]=a

In in this case a = 22

Answer:

8

Step-by-step explanation:

the one that the number has are the same is the data

The standard deviation of the data set is 1.6

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

Here, given data

data(x)      frequency(f)                     xf                 d² = (x-mean)²       fd²

6                       2                               12                       4                       8

8                       3                               24                      0                       0

9                       1                                9                         1                       1

11                       1                                11                        9                      9

mean = ∑xf / ∑f

          = (12+24+9+11)/(2+3+1+1)

          = 56 / 7

mean = 8

Variance = ∑fd²/∑f

               = 18 / 7

              = 2.57

Standard Deviation = √variance

                                = √2.57

                               = 1.6

Thus, the standard deviation of the data set is 1.6

Learn more about Standard deviation from:

https://brainly.com/question/14747159

#SPJ2

Answer:

80%

Step-by-step explanation:

50 x 50 would be 100 and 50kg=100% and 10 x 2 = 20 so you used 20% therefore you have 80% left.

Answer:

80% of sugar left.

Step-by-step explanation:

If we start of with 50 kg of sugar and we take away 10 kg of sugar, we are left with [tex]50-10=40[/tex] kg of sugar.

To find the percentage of sugar left, we divide the decreased number by the original number.

[tex]\frac{40}{50} = \frac{4}{5} = 0.8[/tex]

If we have a decimal and want to convert it to a percentage, we multiply it by 100.

[tex]0.8\cdot100=80[/tex]

So, 80% of the sugar is left.

Hope this helped!

Answer:

y = | x | + 1

Step-by-step explanation:

Given y then y + c represents a vertical translation of y

•  If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here the shift is 1 unit up, thus

y = | x | + 1

Answer:

I think its A.3not sure

Answer:

72%

Step-by-step explanation:

First find the number of mangoes

200 -56 = 144

Take the number of mangoes over the total

144/200

.72

Change to percent by multiplying by 100

72%

Answer:

72%

Step-by-step explanation:

If 56 of the 200 fruits were durians, then [tex]200-56[/tex] of the fruits were mangoes. Therefore, 144 of the fruits were mangoes.

Now we can set up a percentage proportion to find what percent of 200 144 is.

[tex]\frac{144}{200} = \frac{x}{100}[/tex]

Multiply the cross values and divide by the value thats diagonal to the variable.

[tex]144\cdot100=14400\\14400\div200=72[/tex]

So, the answer is 72%

Hope this helped!

Answer:

24

Step-by-step explanation:

let the 2 digit number be ab then digit in unit place is 2 more than ten place

2 digit number is a a + 2 where b = a + 2.

Thus sum of digits = a + a + 2 = 2a + 2, then

ab + 3(2a + 2) = ba ← using place value of digits

10a + b + 6a + 6 = 10b + a, that is

16a + 6 + b = 10b + a ( subtract 10b + a from both sides

15a - 9b + 6 = 0 ← substitute b = a + 2

15a - 9(a + 2) + 6 = 0

15a - 9a - 18 + 6 = 0

6a - 12 = 0 ( add 12 to both sides )

6a = 12 ( divide both sides by 6 )

a = 2

Thus the number is 24

Answer:

Perimeter = (4x + 12)

Step-by-step explanation:

As given in the question itself,

"Perimeter of a polygon is the sum of measures of all the sides of the polygon."

By this property expression to calculate the perimeter of the given polygon will be,

Perimeter = x + x + x + 2 + 2 + (x + 4) + 2 + 2

                = 3x + 4 + (x + 4) + 4

                = 4x + 12

Hence, Perimeter = (4x + 12)

Answer:

[tex]2^{-98}[/tex]

Step-by-step explanation:

[tex](\frac{2^{-10} }{2^{4} } )^{7}[/tex]

[tex](2^{-14})^{7}[/tex]

[tex]2^{-98}[/tex]

Answer:

[tex]\boxed{\frac{1}{2^{98}} }[/tex]

Step-by-step explanation:

[tex](\frac{2^{-10}}{4^2} )^7[/tex]

=> [tex](\frac{2^{-10}}{2^{2(2)}} )^7[/tex]

=> [tex](\frac{2^{-10}}{2^4} )^7[/tex]

Using law of exponents [tex]a^m/a^n = a^{m-n}[/tex]

=> [tex](2^{-10-4})^7[/tex]

=> [tex](2^{-14})^7[/tex]

=> [tex]2^{-98}[/tex]

=> [tex]\frac{1}{2^{98}}[/tex]

Answer:

55°

Step-by-step explanation:

The corresponding image, which I will attach, is missing in order to solve the exercise.

We know that the flat angle is 180 °, which we know to be the one that is formed with the horizontal, therefore the following equation remains:

55 ° + (70 ° + x °) = 180 °

we solve x °

x ° = 180 ° - 55 ° - 70 °

x ° = 55 °

So the value of x is 55 °

Answer:

64

Step-by-step explanation:

Supplementary angles add up to 180. Since you are given one, just subtract 116 from 180 to get 180 - 116 = 64.

Answer:

The answer is 1/5

Step-by-step explanation:

Answer:

y = 8

Step-by-step explanation:

The question is simply asking for the y-value when x = 6. We look at the graph when x = 6 and see what y-value it gives us. We find that when x = 6, we have y = 8.

Answer:

You can look at the screenshot

Step-by-step explanation:

So one point of the line is (0, -4) and another point is (4/3, 0). Plot these points on a graph and draw a line.

0, -4 is from making x = 0, and then 4/3, 0 is from making y = 0.

Answer:

Step-by-step explanation:

You start the question at -4 on the coordinate plane and then you would go up 3 units and 1 unit to the right since the slope of the equation 3/1. You would get your graph like that. And to go backward you would go 3 units down and 1 unit to the left.  

Answer:

C: SSS

Step-by-step explanation:

Two triangle are said to be similar if they have the same shape and proportion. This means that their angles are the same or their sides are in proportion. They are similar if:

i) All three corresponding angles are the same (AAA)

ii) All three corresponding sides are the same proportion (SSS)

iii) Two corresponding angles are equal and a side is in the same proportion (ASA)

iv) Two sides are in the same proportion and a corresponding angles are the same (SAS)

Given that:

AB = 12, BC = 6, AC = 3, DE = 24, EF = 12 and DF = 6

[tex]\frac{DE}{AB} =\frac{DF}{AC} =\frac{EF}{BC}\\\\\frac{24}{12}=\frac{6}{3}=\frac{12}{6}=2[/tex]

Since All the sides are in the same proportion, it supports the SSS rule.

Answer: SSS

I have done this assignment before

Answer:

36

Step-by-step explanation:

45*(9/5)=81(The whole score)

81-45=36(the second half score)

Answer:

36

Step-by-step explanation:

Because you multiply 9*9=81, and then 81-45=36, Because 9*5=45, so the answer is 36.

Answer:

Point form (2, -1/3   Equation form: x=2, y= -1/3

Step-by-step explanation:

Combine 4/3 and x

Replace all occurrences of y in 4x−6y=10 with 4x/3 -3

Simplify 4x− 6 (4x/3 -3)

Solve for x in the second equation.

Simplify  

4(2) /3−3

Answer:

77 degrees

Step-by-step explanation:

The diagram is drawn and attached below.

m∠3= (3x + 4)°

m∠5 = (2x + 11)°

Angles 3 and 5 are co-interior angles and are therefore supplementary (add up to 180 degrees).

(3x + 4)°+(2x + 11)°=180°

5x+15=180

5x=180-15

5x=165

x=33

Therefore, the measure of angle 5

m∠5 = (2x + 11)°

= (2(33) + 11)°

=66+11

=77°

The measure of angle 5 is 77 degrees.

By observing the table it can be concluded that the value of A must be equal to 3x × (-x)

So, the value will be -3x^2

Answer:

B on EDG

Step-by-step explanation:

Answer:

x=3+√5 or x=3−√5

Step-by-step explanation:

Answer:

The vertex is ( -5,0)

Step-by-step explanation:

The vertex form of a parabola is

y = a( x-h) ^2 +k

where ( h,k) is the vertex

y=2(x+5)^2

y=2(x - -5)^2 +0

The vertex is ( -5,0)

Answer:

vertex = (- 5, 0 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = 2(x + 5)² , that is y = 2(x + 5)² + 0 ← is in vertex form

with (h, k) = (- 5, 0 )

Answer:

1-   1/3 x +3y=1

y=2/3 x-4    

solution : x=39/7 , y=-2/7

3x-2y=11

-3x-y=4   solution x=1/3, y=-5

Step-by-step explanation:

1/3 x +3y=1

y=2/3 x-4

solve by substitution for y in the first equation:

1/3 x + 3(2/3 x-4)=1

1/3 x+6/3 x-12=1

7/3 x=12+1

7/3 x=13 ⇒7x=39 ⇒x=39/7=5 4/7

y=2/3 x -4

y=2/3 (39/7)-4

y=72/21  -4

y=-4/7

second problem:

3x-2y=11

-3x-y=4    solve by elimination: add two equation to eliminate x

3x-2y-3x-y=11+4

-3y=15

y=15/-3 ⇒y=-5

substitute y in one of the equations: 3x-2y=11

3x-2(-5)=11

3x+10=11

3x=11-10

x=1/3

Sara works 46 hours per week

9 hours are overtime and 37 hours are regular time

pay rate at time and a half: 10.20∗1.5=15.30

regular hours plus overtime pay

37∗10.20=377.40

9∗15.30=137.70

Income due to tips

Total hours worked∗60per hour∗20%

46∗60∗.20=552

Weekly Income=Hourly income + tips

Weekly Income=377.40+137.70+552.00

Weekly Income=1067.10

Annual income=Weekly income∗52

Annual income=55489.20

Answer:

0.987

Step-by-step explanation:

use stat on calculator

Answer:

He needs to paint 12 inches in height

and 42 inches in width