Express the following as a function of a single angle.
Cos^2(81°) - sin^2(81°)

Answers

Answer 1
Answer:

Answer:

= Cos(162°)

Step-by-step explanation:

Cos^(2)(81°) - Sin^(2)(81°)

we know that;

Cos^(2)(x°) - Sin^(2)(x°) = Cos(2x°)

Cos^(2)(81°) - Sin^(2)(81°) = Cos(2 * 81°)

= Cos(162°)


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At 5:00 Am The Temperature In Phoenix Arizona Was Already 80 Degrees Fahrenheit. By 3:00 Pm The Temperature Has Risen To 97 Degrees Fahrenheit. What Is The Difference In Temperatures?

Answers

The difference is 17 degrees

that it's cooler in the mornings and it starts to get hotter later in the afternoon

Can you simplify 7+4(x+5)

Answers

pemdas
first distribute
distributive property
a(b+c)=(ab)+(ac)
ac=a times c

so 4(x+5)=(4*x)+(4*5)=4x+20
7+4x+20=4x+27
7+4(x+5),    expand the brackets by multiplying 4 & x  4 & 5
7+4x+20,    add 7 & 20 together
27+4x,        Here is the result

The ratio of three numbers is 4:5:3. the sum of the numbers is 54.what are the three numbers.

Answers

Answer:

The numbers are 18, 22.5, and 13.5

Step-by-step explanation:

You first need to figure out what number you use to multiply to find your answer. I found 4.5

Now, multiply all numbers by 4.5

4 x 4.5 = 18

5 x 4.5 = 22.5

3 x 4.5 = 13.5

Using the ratioevaluation technique, the three numbers represented by the ratio are 18, 22.5 and 13.5 respectively

  • (Actualratio÷sumofratios)×sumofvalues

Valuewithratioof4:

  • (4 ÷ (4+5+3)) × 54 = 18

Value with ratio of 5:

  • (5 ÷ (4+5+3)) × 54 = 22.5

Value with ratio of 4 :

  • (3 ÷ (4+5+3)) × 54 = 13.5

Therefore, the values are 18,22.5and 13.5respectively

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What is the positive difference between the square of the sum of the first five positive integers and the sum of the first five positive perfect squares?

Answers

The positive difference between the square of the sum of the first five positive integers and the sum of the first five positive perfect squares is 170. This is obtained by taking the sum of first five numbers, squaring the sum and subtracting the sum of first five perfect squares.

Calculate the positive difference:

The sum of first five positive integers = 1+2+3+4+5 = 15

Square of the sum of the first five positive integers = 15² = 225

The sum of the first five positive perfect squares =1²+2²+3²+4²+5²

                                                                                 =1+4+9+16+25

                                                                                 =55

The positive differenece = 225-55=170

Hence the positive difference between the square of the sum of the first five positive integers and the sum of the first five positive perfect squares is 170.

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Answer:

200

Step-by-step explanation:

The square of the sum of the first five positive integers:

(1 + 2 + 3 + 4 + 5)² = 15² = 225

The sum of the first positive perfect square:

1² + 2² + 3² + 4² + 5² = 1 + 4 + 9 + 16 + 25 = 55

225 - 55 = 200

Own arranges 48 beads into an array. There are 6 rows of beads. How many columns are there.

Answers

Answer:

There will be 8 columns

Step-by-step explanation:

So first you get 48 and divide it by 6 then you get 8 as your answer

If f(x) = x2 and g(x) = 3x - 1 find [ gºf(x)​

Answers

Answer:

gºf(x)​ = 3x^2 -1

Step-by-step explanation:

Given

f(x) = x2

g(x) = 3x - 1

To find

gºf(x)​

To find  gºf(x)​ we will use value of f(x) = x^2 in place of in g(x)

lets do that

g(x) = 3x - 1

gºf(x)​ = 3(f(x)) -1

gºf(x)​ = 3x^2 -1

Thus, value of  gºf(x)​ is   3x^2 -1.