What is the measure of DC?

1. 61
2. 119
3. 122
4. 360

Given :

An expression (cos 6m)(cos 2m) .

To Find :

We need to express it in terms as sum or difference.

Solution :

We know,

cos( A + B ) = cosA cos B - sin A sin B

cos( A - B ) = cosA cos B + sin A sin B

Adding both the equations we get :

2cos A cos B = cos( A + B) + cos( A - B )

or

cos A cos B = cos( A + B) + cos( A - B )/2

Putting value of A = 6m and B = 2m in above equation, we get :

(cos 6m)(cos 2m) = cos( 6m + 2m ) + cos( 6m - 2m )/2

(cos 6m)(cos 2m) = cos(8m) + cos(4m)/2

Hence, this is the required solution.

220÷132=36 so the answer is c

Answer:

C. 21/50 because 21/50 written in a decimal is 0.42

Answer:

160

Step-by-step explanation:

Number of DVDs put on the first rack = 5

Number of DVDs put on the second rack = 10

If we closely observe, the number of DVDs on the second rack is nothing but number of DVDs on the first rack multiplied by 2.

Number of DVDs put on the third rack = 20

If we closely observe, the number of DVDs on the third rack is nothing but number of DVDs on the second rack multiplied by 2.

Number of DVDs put on the fourth rack = 40

If we closely observe, the number of DVDs on the fourth rack is nothing but number of DVDs on the third rack multiplied by 2.

Number of DVDs put on the fifth rack = 80

If we closely observe, the number of DVDs on the fifth rack is nothing but number of DVDs on the fourth rack multiplied by 2.

Therefore, to find the number of DVDs on the sixth rack as per similar pattern, we need to multiply the number of DVDs on the fifth rack with 2.

Number of DVDs on the sixth rack = [tex]80\times 2 = \bold{160}[/tex]

Step-by-step explanation:

84/6= 84÷6/6÷6

14/1= 14 points

Ricky had 1203 hits Pedro had 1484

Answer:

Slope

0.33

Step-by-step explanation:

Answer:

She has $3.74 in quarters. I'm kind of confused but hopefully this helps??

Step-by-step explanation:

0.75 x 5= $3.75

$3.75/0.25= 15 quarters

Answer:

l

Step-by-step explanation:

Answer:

The answer is 0.71

Step-by-step explanation:

I divided it

Answer:

The approximate diameter of the larger tank is 8.10 meters

Step-by-step explanation:

Here, we want to calculate the diameter of the larger tank

The volume of a sphere

V = 4/3 * π * r^3

Let us calculate the volume of the standard model

That will be;

Since diameter is 6 and r = d/2

r = 6/2 = 3 meters

V = 4/3 * π * 3^3 = 36 π m^3

Now, the volume of the larger tank is 2.5 times of this;

The volume of the larger tank is 2.5 * 36 π = 90 π m^3

So we can calculate the radius of this before we calculate its diameter

4/3 * π * r^3 = 90 π

4r^3/3 = 90

r^3 = 270/4

r^3 = 67.5

r = 3x√(67.5)

r = 4.07 m

Diameter here is 2 times this

= 4.07 * 2 = 8.14

Answer:

8.1

Step-by-step explanation:

Answer:

that is spanish for "hello, i like mathimatics"

Step-by-step explanation:

it is

Answer: Do you want a translation? If you do, it says, "Hello, I like Mathematics."

Step-by-step explanation: I know spanish.

Answer:

Ok-

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

12/2= 6

48/2= 14

96/2=48

Answer:

Step-by-step explanation:

LCM of 12,48 and 96 is 96

it is b 2 3 8 9 14

c 4 6 16 18 28

i took the test

Answer:38

Step-by-step explanation:

Answer:

EGBFDHAIC

Step-by-step explanation:

Lol i did this before hope this helps!!

Answer:

£2,621.44

Step-by-step explanation:

Original cost of car = £8000

If it looses 20% of its value yearly

Value at the end of first year

80% * 8000

= 0.8 * 8000

= 6400

Value at the end of second year

80% * 6400

= 0.8 * 6400

= 5120

Value at the end of third year

80% * 5120

= 0.8 * 5120

= 4096

Value at the end of fourth year

80% * 4096

= 0.8 * 4096

= 3,276.8

Value at the end of fifth year

80% * 3,276.8

= 0.8 * 3,276.8

= 2,621.44

Hence the value in 5 years time will be £2,621.44

Answer:

Step-by-step explanation:

I just moved all terms that don't contain x to the

right side and solved!

Hope this Helps!

Answer

it depends if you're on your period and if not then it could be something is but  if you're girl its a vaginal discharge is normal start by wearing panty liners to stop it and leaving on to that you'll get your period

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The guy above me was correct. I got a 99% on my test.

Step-by-step explanation:

In isoceles triangle two sides are equal and two angles are equal.

Then,

∠R = ∠T = (5x-40)°

Then,

∠RTS + ∠STU = 180° (bcoz it lies on a straight line)

(5x-40) ° + 5x = 180°

10x = 220°

x = 22°

Therefore,

Option A is correct✔

Answer:

2

Step-by-step explanation:

You need to get x by itself to solve

So to get rid of 5/2, you need to multiply both sides by the reciprocal or 2/5...

5/2*2/5 = 1 which we don't write and 1*2/5 =  2/5

So now you'd have x =2/5

Answer:

Vertex Form: y= 2(x−1)^2−7

Step-by-step explanation:

I believe this is correct

Answer:

For the second question, 4 busses and 3 cars.

Step-by-step explanation:

It's really simple actually, but sorry I can't come up with an equation. You can just add or multiply students per bus and students per car until you get to 195.  Each bus can hold 45 students, so 45 x 4 = 180. Each car can hold 5 students, so 5 x 3 = 15. In total, 15 + 180 = 195 students.

Answer:

The slope is -1/2 or -0.5

Hope this helps!

Answer:

The slope is 5

Step-by-step explanation:

if you add 2 to -3 then you get your answer