jada earns $7 per hour mowing her neighbors' lawns. andre gets paid $5 per hour for the first hour of babysitting and $8 per hour for any additional hours he babysits. what is the number of hours they both can work so that they get paid the same amount?

Answer:

see below

Step-by-step explanation:

Prove : cos²(A-B)-sin²(A+B)=cos2Acos2B

LHS,

cos²(A-B) - sin²(A+B)     (expand using double angle identities)

= [tex]\frac{1 + cos [2(A-B)]}{2} - \frac{1 - cos [2(A+B)]}{2}[/tex]

= [tex]\frac{1}{2} + \frac{1}{2} cos[2(A-B)] - \frac{1}{2} + \frac{1}{2} cos[2(A+B)][/tex]

= [tex]\frac{1}{2} cos[2(A-B)] + \frac{1}{2} cos[2(A+B)][/tex]

= [tex]\frac{1}{2} cos(2A-2B) + \frac{1}{2} cos(2A+2B)[/tex]      (expand using sum/difference identities)

= [tex]\frac{1}{2} (cos2Acos2B + sin2Asin2B ) + \frac{1}{2} (cos2Acos2B - sin2Asin2B )[/tex]

= [tex]\frac{1}{2} cos2Acos2B + \frac{1}{2}sin2Asin2B + \frac{1}{2} cos2Acos2B - \frac{1}{2}sin2Asin2B[/tex]

= [tex]\frac{1}{2} cos2Acos2B + \frac{1}{2} cos2Acos2B[/tex]

= [tex]cos2Acos2B[/tex]  (= RHS , Proven)

Answer:

643.4

Step-by-step explanation:

Answer:

The answer is: 643.4

Step-by-step explanation:

Answer:

Angle 3 is also 100

Step-by-step explanation:

They are vertical angles and vertical angles are always congruent.

The angle 3 is in the given figure is ∠3 = 100°.

The parallel lines are a group of straight lines that never intersect with one another. The distance between two parallel is always the same.

The measure of angle 1 is given as ∠1 = 100°.

When two lines intersect each other, the pair of vertically opposite angles are equal.

Since, angle 1 and angle 3 are vertically opposite, they are equal.

Thus, ∠3 = 100°.

Hence, the measure of angle 3 is 100°.

To know more about parallel lines click on,

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Answer:

0.25 (1/4) bowls a minute.

Step-by-step explanation:

If you divide 15 by 60, you get 0.25 (1/4) and then you just add your labels which is bowls a minute.

Answer:

4(9b+6) is equivalent to 4 x (9 x b + 6)

Answer:

2/9

Step-by-step explanation:

Slope = y2- y1/x2 - x1

Given

x1 = -9

y1 = 2

x2 = 0

y2 = 4

Therefore

Slope = 4 - 2 /0 -(-9)

= 4 - 2/0 + 9

= 2/9

Answer:

2/9 is correct, or just .22

Step-by-step explanation:

Use the formula  [tex]\frac{x^2 - x^1}{y^2 - y^1} = \frac{rise}{run} = \frac{-9 - 0}{2 -4}[/tex]

However, the variables, are not squared, that is meant to be subscript :D

Answer:

64⁰

Step-by-step explanation:

By angle sum property :

A + B + C = 180⁰

C = 180 - 73 - 43

C = 180 - 116

C = 64⁰

Answer:

x/5=80

Step-by-step explanation:

x=how many months it takes to get all the money out                                              hope it is right or you can google it if not

Answer: I couldn't find the answer but I did find the formula? Sorry if this doesn't help much :(

Update:

Center at (-3,0)

Radius = 1

Step-by-step explanation:

(x-x1)^2 + (y-y1)^2 = r^2

(x-x2)^2 + (y-y2)^2 = r^2

Answer:

If point A = (4,4) and B = (8,7)

The slope of M would be 3/4.

Step-by-step explanation:

m = y^2 - y^1/x^2 - x^1 = 7 - 4/ 8 - 4 = 3/4. m = 3/4.

y = mx + b

y = 3/4 x + b

4 = (3/4)(4) + b

b = 4 - 3 = 1

The equation of line AB is y = 3/4 x + 1.

I hope this helps and that it is easy to understand and read! :)

Answer:they change and are always equal to each other

part 2. they do not change

part 3. 1/2

i just did it on edge 2020

When AC changes, angles ABC and ADC are also changes and are equal to each other.

An inscribed angle is an angle whose vertex is on a circle and whose sides contain chords of a circle.

This is different than the central angle, whose vertex is at the center of a circle.

From given figure, It is observed When AC changes, angles ABC and ADC are also change but equal to each other.

Learn more about the angles in circle here:

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Subtracting smaller 3-digit numbers from 920 results in 3-digit answers, subtracting larger 3-digit numbers gives 2-digit answers, and subtracting even larger 3-digit numbers results in 1-digit answers. Examples include: 920 - 120 = 800, 920 - 825 = 95, and 920 - 915 = 5.

This question involves simple subtraction operations. Here are three subtraction equations that meet the conditions:

As we increase the 3-digit number that we subtract from 920, the result decreases in the number of digits,

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To subtract 3 digit numbers from 920 and end up with a 1-digit, 2-digit or 3-digit number, the following equations are provided: 920 - 911 = 9, 920 - 815 = 105 and 920 - 100 = 820.

To find three subtraction equations that show the difference when subtracting a 3-digit number from 920, we need to consider all possible scenarios for the difference.

The smallest possible difference would be a 1-digit number.

To get a 1-digit number, 2-digit number, or a 3-digit number as the result while subtracting a 3-digit number from 920, here are three equations:

• The smallest possible difference would be a 1-digit number. 920 - 911 = 9

• The next possible difference would be a 2-digit number. 920 - 815 = 105

• The largest possible difference would be a 3-digit number. 920 - 100 = 820

In each equation, we started with 920 and subtracted a 3-digit number. Given that the numbers we subtract are less than 920, it becomes possible to get a 1-digit, 2-digit, or 3-digit result.

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Answer:

A=26

Step-by-step explanation:

well, A is less than 27 so A could be 26?

Answer:

33

Step-by-step explanation:

You find the measure of B, which is 180 - (93 + 58) = 29 degrees

You use the law of sines which is 16/sin(29) = (BC)/sin(93)

You multiply both sides by sin(93) and get:

sin(93)*16/sin(29) = BC

You plug this into a calculator and get:

32.9574164555, which is approx. 33

Answer:

616

Step-by-step explanation:

Answer:

1.75

Step-by-step explanation:

Use the distributive property first.

(3.5 x 2.25) (3.5 x X) = 14

7.875 + 3.5x = 14   Now subtract 7.875 from both sides

3.5x = 6.125  Now divide 3.5 by both sides

x = 1.75

The equation 3.5(2.25 + x) = 14 is solved by first distributing 3.5 through the parentheses, then isolating x on one side, yielding a result of x = 1.75.

In this mathematical equation, the first step is to distribute 3.5 to (2.25 + x). The result is 7.875 + 3.5x = 14. We then subtract 7.875 from both sides to isolate the term with x which gives 3.5x = 6.125. Finally, to solve for x, we divide both sides by 3.5. This gives us x = 1.75.

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Answer:

68

Step-by-step explanation:

cos22=sinx

sin^-1(cos22)=x

x= 68

Answer:

The slope -intercept form of the equation is;

y = [tex]\frac{3}{2}[/tex]  x  +   4

Step-by-step explanation:

The slope-intercept form of an equation is;

y = mx + c

where m is the slope and c represent the intercept

To represent the equation given; 3x - 2y = -8 in its slope intercept form, we will follow the steps below:

3x - 2y = -8

subtract 3x from both-side of the equation

3x - 3x -2y  = -3x - 8

-2y = -3x -8

Divide throught the equation by -2

-2y/-2 =-3x/-2  -8/-2

y = [tex]\frac{3}{2}[/tex]  x  +   4

The slope -intercept form of the equation is;

y = [tex]\frac{3}{2}[/tex]  x  +   4

Answer:

H=3

Step-by-step explanation:

1. 6(3)-15

2.18-15

3. 3

4. Brainliest please

Answer:

Volume of water left in the cylinder=[tex]76\frac{2}{3}\pi \:in^3[/tex]

Step-by-step explanation:

Height of the Cylinder=10 inches

Radius of the cylinder=4 Inches

Volume of the Cylinder

[tex]=\pi r^2h\\=4^2*10\pi\\=160\pi\:in^3[/tex]

Radius of the Hemisphere=5 Inches

[tex]\text{Volume of a Hemisphere}=\frac{2}{3}\pi r^3\\ =\frac{2}{3}\pi *5^3\\=\frac{250\pi}{3} in^3[/tex]

Since the Volume of the cylinder is greater than the Volume of the bowl, all the water will not fit.

[tex]\text{Therefore: volume of water left} =160\pi-\frac{250\pi}{3}\\=76\frac{2}{3}\pi \:in^3[/tex]

Answer:

13.01d-2.65

Step-by-step explanation:

Since there r numbers with the variable d, combine them.

Answer:

y=0.5x+6

Step-by-step explanation:

6 is the y-intercept because you go up 1 over 2.

Answer: The equation of line is [tex]2y - x - 12 = 0[/tex]

Step-by-step explanation:

The formula for finding the equation of a line when slope and a point is gives is :

[tex]y-y_{1}=m(x-x_{1})[/tex]

[tex]x_{1}=-2[/tex]

[tex]y_{1}=5[/tex]

[tex]m = 1/2[/tex]

substituting into the formula , we have :

[tex]y - 5 = 1/2 ( x-(-2) )[/tex]

multiply through by 2 , we have

[tex]2(y-5) = 1(x+2)[/tex]

[tex]2y - 10 = x + 2[/tex]

[tex]2y - x - 10 - 2 = 0[/tex]

[tex]2y - x - 12 = 0[/tex]

Therefore : the equation of line is [tex]2y - x - 12 = 0[/tex]

Answer:

33.6

Step-by-step explanation:

As we can see in the graph, the points:

To find a distance between two points or the length of the segment, we use the following formula:

[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

Because the two points P and Q are located at the same libe y = 8

=> the lenght of PQ = [tex]\sqrt{(6- (-2))^{2} } = \sqrt{8^{2} } = 8\\[/tex]

Because the two points R and Q are located at the same libe x = 6

=>  the length of RQ = [tex]\sqrt{(8-2)^{2} } = \sqrt{6^{2} } = 6\\[/tex]

The lenght of RS is: [tex]\sqrt{(-5-6)^2+(0-2)^2} = \sqrt{-11^{2} +(-2)^{2} }[/tex] = [tex]\sqrt{125} = 11.1[/tex]

The lenght of SP is: [tex]\sqrt{(-5-(-2))^2+(0-8)^2} = \sqrt{-3^{2} +(-8)^{2} } = \sqrt{73}[/tex] = 8.5

=>  the perimeter of quadrilateral PQRS = PQ+RQ+RS+SP

= 8+6+11.1+8.5

= 33.6

Answer:33.7

Step-by-step explanation:

8+8.5+6+11.2=33.7

Answer:

oy=5

Step-by-step explanation:

t golf DJ o frick vet gn hf hi

Answer:

[tex] {( {x}^{2} + 3) }^{2} = {4x}^{2} + 12[/tex]

[tex] \bf \purple{ {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} } [/tex]

[tex] {( {x}^{2}) }^{2} + 2({x)}^{2} (3) + {(3)}^{2} = {4x}^{2} + 12[/tex]

[tex] {x}^{4} + {6x}^{2} + 9 = {4x}^{2} + 12[/tex]

[tex] {x}^{4} = {4x}^{2} - {6x}^{2} + 12 - 9 [/tex]

[tex] {x}^{4} = { - 2x}^{2} + 3[/tex]

[tex]( {x}^{2} \times {x}^{2}) = { - 2x}^{2} + 3[/tex]

[tex]2 \times {x}^{2} = { - 2x}^{2} + 3[/tex]

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

[tex] = 3[/tex]

Answer:

557.49

Step-by-step explanation:

Add the three bills together

450.00

 37.50

 69.99

--------------

557.49

There are 71 dogs in the local animal shelter.

To determine the number of dogs and cats in the shelter, let's denote the number of dogs by D and the number of cats by C. According to the problem statement, there are twice as many cats as dogs, minus three. Mathematically, this is represented as C = 2D - 3. We also know that the combined total of cats and dogs is 210, which can be expressed as C + D = 210. To find the number of dogs, we can solve these two equations simultaneously.

From the first equation, we solve for C in terms of D: C = 2D - 3.

Substitute C into the second equation: (2D - 3) + D = 210.

Combine like terms: 3D - 3 = 210.

Add 3 to both sides of the equation: 3D = 213.

Divide both sides by 3 to solve for D: D = 71.

Therefore, there are 71 dogs in the local animal shelter.

Answer:

there will be 19 $100 bills

and 11 $10 bills

Step-by-step explanation:

[tex]100*19=1900\\10*11=110\\1900+110=2010[/tex]

Answer:

11

Step-by-step explanation:

Let x be how many $10 bills there are.

Let y be how many $100 bills there are

x + y = 30

x = 30 - y

10x + 100y = 2010

10(30 - y) + 100y = 2010

300 - 10y + 100y = 2010

-10y + 100y = 2010 - 300

90y = 1710

y = 1710 / 90

y = 19

x = 30 - 19

x = 11

Answer:

C

Step-by-step explanation:

63° =63°

CB = AB

3x = 4x - 2

Answer:

Answer C is correct

=6

Step-by-step explanation:

[tex]3x = 4x - 2 \\ 2 = 4x - 3x \\ 2 = x \\ \\ ab \: \: \: length = 3x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \times 2 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6[/tex]