MATHEMATICS COLLEGE

Prove that
sin 75-sin 15=cos 105+cos 15​

Answers

Answer 1
Answer:

Answer:

 

Step-by-step explanation

RHS = cos 105° + cos 15°

         = cos (90° + 15°) + cos (90° – 75°)  

         = – sin 15° + sin 75°

         = sin 75° – sin 15°

          = LHS
Answer 2
Answer:

Answer:

Step-by-step explanation:

sin75-sin15

=sin (90-15)-(-cos (90+15))

=cos 15+cos 105

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Sin 64degrees=cos x what is the value of x?

Answers

sin 64 = cos x
cos x = 0.899
x = { \cos}^( - 1) (0.899) = 26 \: degrees

The volume of an object is given as a function of time by V = A + B t + C t4 . Find the dimension of the constant C

Answers

Answer:

The dimensions of constant C are of [L^(3)T]^(-4)

Step-by-step explanation:

It is given that

V(t)=A+Bt+Ct^(3)

Since the dimensions of volume are [L^(3)]

Each of the term shall have a dimension of [L^(3)] since they are in addition.

Thus for third term we can write

Thus we have

[L^(3)]=[C][T^(4)]\n\n\therefore [C]=[L^(3)][T^(-4)]

Find the volume of a pyramid with a square base, where the perimeter of the base is 15.4 and the height of the pyramid is 13.1. Round your answer to the nearest tenth of a cubic meter.

Answers

The requried volume of the pyramid is 64.9 cubic meters.

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profilearea multiplied by the length at which that profile is extruded.

The first step is to find the area of the square base. Since the perimeter of the base is 15.4, each side of the square has a length of:

15.4 / 4 = 3.85

Therefore, the area of the base is:

A = (3.85)² = 14.8225 square meters

The volume of a pyramid is given by the formula:

V = (1/3) * A * h

where A is the area of the base and h is the height of the pyramid. Substituting the values given in the problem, we get:

V = (1/3) * 14.8225 * 13.1

V = 64.91925 cubic meters

Rounding to the nearest tenth of a cubic meter, we get:

V ≈ 64.9 cubic meters

Therefore, the volume of the pyramid is approximately 64.9 cubic meters.

Learn more about Volume here:
brainly.com/question/1578538

#SPJ3
Answer: 69.3

Explanation: So if the height is 13.1, that means that the length is 2.3. And to find volume, you do length times width times height. So the width would be 2.3 because it is a even square if that makes since. Now 2.3 times 2.3 is 5.29. Now we multiply 5.29 by 13.1. The answer is 69.299. Now we round this to the nearest tenth, so the answer would be 69.3.

You have been waiting for months. The latest version of your favorite video game comes out today. You have mowed lawns, done extra chores, and saved up gift money. The new game costs $49.99. You have exactly $50.00 saved. So you are good to go, right? In 3 to 5 sentences explain if you have enough money to buy that game in Pennsylvania where sales tax is 6%. If you have enough money, will you have change? If you do not have enough money, how much more do you need?

Answers

if I had enough money, of course I will have change.

3 times the sum of one third of a number and 8 is 11

Answers

Answer:

3((1)/(3)x+8)=11

Step-by-step explanation:

It says 3 times the sum of one third of a number and 8, so we group that expression into the parentheses. Since there is a key word is, we need to put an equal sign.

Please help me on this

Answers

Answer:

-q

Step-by-step explanation:

We know that we are trying to find an expression equivelant to p - q:

p - q can be p - 1q

We can then put parenthesis around -1q:

p + (-1q)

We then can simplify:

p + (-q)
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