The 2 Johnson children are playing a game. The
game has 10 cards that are passed out. Each child
gets the same number of cards. How many cards
does each child get?

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:

4.995

Step-by-step explanation:

Answer:

he sold 32 general admission tickets

and 8 vip tickets

Answer: b & d

Step-by-step explanation:

These are complex roots because they do not have x-intercepts.

Hope this helps!

Answer:

B!!

Step-by-step explanation:

think its B im not sure

Answer:700x 10= 7,000

Answer: 7000

Step-by-step explanation:

Answer:

There are 0.186411 miles in 0.3 km.

Answer:

 0.55x = $27

Step-by-step explanation:

Let the price of the painting = x

x - 45% of x = $27

    x - 0.45x = $27

         0.55x = $27

Divide both sides by 0.55

 0.55x/0.55 = $27/0.55

                  x = $49.09

Answer: PI to the thousandth digit is 8.

Step-by-step explanation: Since 9 is the last digit in PI, and 3 is the digit at the beginning of PI, then that means that 8 is PI to the thousandth digit.

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:

9514 1404 393

Answer:

  16 inches

Step-by-step explanation:

The sum of length and width is half the perimeter, so is 36 inches.

The width is 4/(4+5) = 4/9 of the total of length and width, so is ...

  (4/9)(36 inches) = 16 inches

The width of the rectangle is 16 inches.

Answer:

65 degrees since both opposite sides are 10

Answer:

65 degrees

Step-by-step explanation:

Just took the test

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

Answer:volts =60v

Step-by-step explanation:

STEP 1

 The voltage across a resistor is directly proportional to the current running through the resistor Is mathematically represented as

V∝ C

introducing the proportion of constant , we have

V=KC

Step 2

When current =12 amps, and volts = 480, we have

V=kC

480=K  X  12

Constant of proportionality ,K= V/C=480/12= 40

Therefore, when current = 1.5 amp, volts=?

V= KC

V= 40  X 1.5

V= 60 volts

Answer:

domain: 2x+1 not equal to zero, then x not equal to -1/2

Set 2x+1>0

then x>-1/2

100^(3-4x)/(2x+1)<=0.01^(5x-8)/(2x+1)

100^(3-4x)<=0.01^(5x-8)

(10^2)^(3-4x)<=[10^(-2)]^(5x-8)

10^[2*(3-4x)]<=10^[(-2)*(5x-8)]

10^(6-8x)<=10^(16-10x)

6-8x<=16-10x

2x<=10

x<=5

combine x>-1/2 and x<=5

then - 1/2<x<=5

Set 2x+1<0

then x<-1/2

100^(3-4x)/(2x+1)<=0.01^(5x-8)/(2x+1)

100^(3-4x)>=0.01^(5x-8)

(10^2)^(3-4x)>=[10^(-2)]^(5x-8)

10^[2*(3-4x)]>=10^[(-2)*(5x-8)]

10^(6-8x)>=10^(16-10x)

6-8x>=16-10x

2x>=10

x>=5

combine x<-1/2 and x>=5

, then x does not exist while 2x+1<0

so answer is - 1/2<x<=5

Step-by-step explanation:

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

Answer:

P is you pass the class, so it's the hypothesis in the conditional. And Q is the conclusion, which ic you got to the next grade.

Step-by-step explanation:

In order to got to the next grade, you need to pass the class.

or

If you pass the class, you go to the next grade.

Answer:

10

Step-by-step explanation:

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

Thank you ☺️☺️

Answer:

I think the slope is unidentified.

Hope this Helps!

Answer:

[tex]\frac{n}{6}[/tex] - 1

Step-by-step explanation:

whenever the word than is there (less than, greater than) you have to switch the order so it the words 1 was first or in the beginning of the sentence but since the words less than are there, 1 goes toward the end or after the quotient of a number n and 6.

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: n = 28/4

Step-by-step explanation:

Number of leaves uses to feed each caterpillar = 4.

If Oscar has 28 leaves, the number of caterpillars n he'll be able to feed in a day will be represented by the equation below:

n = 28/4

This implies that 7 caterpillars can be fed in a day.

Answer:

0

Step-by-step explanation:

There is no x, therefore there is no slope.

Answer:

4

Step-by-step explanation:

..........................

Answer:

If the gift card is $30 the remaining change is 3 dollars