Ida needs to hire a singer for her wedding. Singer A is offering his services for an initial $80 in addition to $13.35 per hour. Singer B is offering her services for an initial $86 in addition to 11.65 per hour. When will the two singers charge the same amount for money?

Answer:

(1-cos2A) /(1+cos2A) =tan²A

Proof:

We know that,

cos(A+B) =cosA.cosB-sinA.sinB

=>cos2A=cos(A+A)

=>cos2A=cosA.cosA - sinA.sinA

=>cos2A=cos²A-sin²A

=>cos2A=(cos²A-sin²A)/(cos²A+sin²A

Since {cos²A+sin²A=1}

Divide the numerator & the denominator by (cos²A) to get,

cos2A = {(cos²A-sin²A) ÷cos²A} / {(cos²A+sin²A) ÷cos²A}

cos2A ={(1-tan²A)/(1+tan²A)}

Then,

1-cos2A = 1-[{(1–tan²A)/(1+tan²A)}]

1-cos2A =(1+tan²A-1+tan²A)/(1+tan²A)

1-cos2A=(2tan²A)/(1+tan²A)

And now.......

1+cos2A=1+[{(1-tan²A)/(1+tan²A)}]

1+cos2A={1+tan²A+1-tan²A}/{1+tan²A}

1+cos2A=2/(1+tan²A)

So now,

(1-cos2A)/(1+cos2A)= {2tan²A/(1+tan²A)}÷{2/(1+tan²A)}

={(2tan²A)(1+tan²A)}÷{2(1+tan²A)}

=tan²A

Step-by-step explanation:

make me as brain liest

Answer:

There are 0.186411 miles in 0.3 km.

Answer:24.54054 times larger

Step-by-step explanation: Divide 22700000 by 925000 and it gives you 24.54054 in the calculator

Step-by-step explanation:

√7 * √7 = 7 , which is not a irrational number

Answer:

OK.

the sets are

natural numbers (or counting numbers), this is like 1,2,3,4,5 etc

whole numbers, this is including 0, so 0,1,2,3,4,5,6 etc

integers, this includes the previoius set and negatives, so -3,-2,-1,0,1,2,3,4,5 etc

rational numbers, this is the set of numbers that can be written in form a/b where b≠0, so all integers can be written like this, like example -3=-3/1, so -7/9 belongs here

-7/9 goes in the rational set

Answer:

I think the slope is unidentified.

Hope this Helps!

Answer:

1-100

Step-by-step explanation:

The number of times you write 2 as a factor of 552 is 3 times.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given numerical expression is 23·24.

Here, equivalent expression is 552

Factor of 552 is

2×2×2×3×23

Therefore, the number of times you write 2 as a factor of 552 is 3 times.

To learn more about an equivalent expression visit:

https://brainly.com/question/28170201.

#SPJ2

Step-by-step explanation:

it's not same but u can find your answer through it

Answer:

Each girl scored 9 points

Each boy scored 7 points

Step-by-step explanation:

Let the number of points each girl scored = a

Let the number of points each boy scored = b

7 girls and 6 boys scored a total of 105 points.

7a + 6b = 105......... Equation 1

The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 21

7a - 6b = 21........... Equation 2

7a + 6b = 105......... Equation 1

7a - 6b = 21........... Equation 2

Subtract Equation 2 from Equation 1

12b = 84

b = 84/12

b = 7

Therefore, each boy scored 7 points

7a + 6b = 105......... Equation 1

b = 7

7a+ 6b = 105

7a + 6(7) = 105

7a + 42 = 105

7a = 105 - 42

7a = 63

a = 63/7

a = 9

Therefore, each girl scored 9 points.

Answer: 315 miles

Step-by-step explanation:

42x2=84

124.95

-84.00

_______

40.95

40.95 ➗ 0.13 = 315 miles

it should have 83 turkey and 83 ham and one extra.

Answer:

4.

Step-by-step explanation:

Hope this helps! <3

Answer:

9

Step-by-step explanation:

Answer:

No, she doesn't have enough varnish for all the floors.

Step-by-step explanation:

Area of the floor, A= 10x6-5x2=50 [tex]m^2[/tex]

Since 5 m^2 required 1 liter of varnish.

So, the amount of varnish required for 1 [tex]m^2[/tex] = 1/5= 0.2 liters.

The amount of varnish required for 50 [tex]m^2[/tex] = 0.2X50=10 liters.

Now, as 1 tin has 2.5 liters of varnish.

So, the total amount of varnish available = 3x2.5=7.5 liters, which is less than the total requirement.

Hence, she doesn't have enough varnish for all the floors.

Answer:

a. -21 b. 14

Step-by-step explanation:

For a, -3x4=-12, and then -12-9=-21. For b, -1/3x-3=1, and then 1+13=14. Hope it helps!

Answer: A.) -21

               B.) 14

Step-by-step explanation:

f(-3)=x

A.) f(-3) = 4(-3) - 9

           = -12-9

           = - 21

B.) f(-3) = -1/3(-3) + 13

           = 1 + 13

           = 14

Have a nice day good night

Answer:

See below

Step-by-step explanation:

As per the attached graph we observe that the constant rate of change is 9 as each step of horizontal change corresponds to 9 steps of vertical change

It is found as the division below:

Point (0, 0) indicates the start point

Point (1, 9) indicates the cost of 1 t-shirt

As to the attachment graph ;

Now,

according to the question

it is found as the division below ;

the point which is indicating the starting point ;

the point which indicate the cost of one t-shirt ;

Answer:

I think it is A. This image shows a rectangular grid divided in two parts by a vertical line above which number 250 is written in centre. Left side has 182 and right side has question mark.

Answer:

17

Step-by-step explanation:

Given

3n - 4 = 8 ( add 4 to both sides )

3n = 12 ( divide both sides by 3 )

n = 4

Thus

5n - 3 = 5(4) - 3 = 20 - 3 = 17

Answer:

[tex]\frac{3}{11}[/tex]

Step-by-step explanation:

[tex]\frac{5-2}{7- (-4)}[/tex]  =   [tex]\frac{3}{11}[/tex]

Answer:

65 degrees since both opposite sides are 10

Answer:

65 degrees

Step-by-step explanation:

Just took the test

Answer:

Number of possibilities

1) 91 members that contribute 1 dime each ($0.10)

2) 13 members that contribute 7 dimes each ($0.10 × 7 = $0.70)

3) 70 members that contribute 13 dimes each ($0.10 × 13 = $0.13)

Step-by-step explanation:

A dime = $0.10 in dollars

We are told that:

The total amount contributed = $9.10 for the party after their practice.

Each member contributed the same amount of money in dimes only.

Let the number of members be represented as: x

Number of possibilities

We find the factors of $9.1

= 1, 0.7, 0.13, 9.1

= 1 × 9.1

= 0.7 × 13

= 0.13 × 70

Hence:

1) $0.10 × x = $9.10

x = $9.10/$0.10

x = 91

Therefore, from the calculation above, there are 91 members and each of them contributed the same amount which was 1 dime ($0.10).

2)

7($0.10 )× x = $9.10

x = $9.10/$0.70

x = 13

Therefore, from the calculation above, there are 13 members that contribute 7 dimes each ($0.10 × 7 = $0.70)

3) 13($0.10) × x = $9.10

x = $9.10/$0.13

x = 70

Therefore, from the calculation above, there are 70 members that contribute 13 dimes each ($0.10 × 13 = $0.13)

Answer:

Values are:

x x²

10 100

5

Answer:

A

Step-by-step explanation:

Answer:

4.995

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ist method - Area of the triangle + Area of the  trapezium

Area of triangle = 1/2 × b × h

here, b = 8 cm but h is not given

so we will find h by pythagoras theorem

AC^2 = AB^2 + BC^2

10^2 = 8^2 + BC^2

100 = 64 + BC^2

BC^2 = 36

BC = √36

BC = 6

∴ h = 6cm

area of triangle = 1/2 × b × h

= 1/2 × 8 × 6

= 24 cm^2

Area of trapezium = 1/2 ( a + b ) h

Here a = 13cm

         b = 25 - 8 = 17 cm

         h = 6 cm

So area = 1/2 ( a + b ) h

= 1/2 ( 13 + 17 ) 6

= 90 cm^2

So total area =  Area of the triangle + Area of the  trapezium

= 24 cm^2 + 90 cm^2 = 114 cm^2

2nd method - Area of the entire figure

Since the figure is a trapezium,

Area of trapezium = 1/2 ( a + b ) h

here, a = 13cm

        b = 25 cm

        h = 6 cm

Area of trapezium = 1/2 ( a + b ) h

= 1/2 ( 13 + 25 ) 6

= 114 cm^2

Hope this helps

plz mark as brainliest!!!!!!!!!!

answer:

not a very clear diagram sorry luv but i just cant really see the question  <3

step-by-step explanation:

n(A), n(B) and n(AnB) are given and n(AUB)'s complement is asked.

I need points can you give me some of your points

Answer:

the 2nd and 4th i think

Step-by-step explanation: