This is for trigonometry

Mathematics

1 answer:

Ilya [14]2 years ago

8 0

a) x-intercepts (where it passes through the x-axis) are: 0.05, 0.745, 0.8, 1.45, 1.55, 2.2

The x-intercepts represent when height = 0 and y-intercepts represent when time = 0

b) The graph is positive when height is positive: [0.05, 0.745] U [0.8, 1.45] U [1.55, 2.2]

c) The graph is negative when height is negative: [0, 0.05] U [0.745, 0.8] U [1.45, 1.55] U [2.2, ∞)

d) The average rate of change is the slope (rise/run) between the coordinates when x = 0.75 (y = -5) and when x = 1.125 (y = 1.7).

slope = $\frac{1.7 - (-5)}{1.125 - 0}$ = $\frac{6.7}{1.125}$ = 6

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What is the expression for the below sequence (use n) -3,-6,-9,-12

polet [3.4K]

Answer:

$a_{n}$ = - 3n

Step-by-step explanation:

There is a common difference between consecutive terms, that is

- 6 - (- 3) = - 9 - (- 6) = - 12 - (- 9) = - 3

This indicate the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = - 3 , thus

$a_{n}$ = - 3 - 3(n - 1) = - 3 - 3n + 3 = - 3n

The n th term is - 3n

6 0

3 years ago

Phoebe, Andy and Polly share £270.

Stella [2.4K]

*Given
Money of Phoebe - 3 times as much as Andy
Money of Andy - 2 times as much as Polly
Total money of Phoebe, - £270
 Andy and Polly

*Solution

Let
B - Phoebe's money
A - Andy's money
L - Polly's money

1. The money of the Phoebe, Andy, and Polly, when added together would total £270. Thus,

B + A + L = £270 (EQUATION 1)

2. Phoebe has three times as much money as Andy and this is expressed as

B = 3A

3. Andy has twice as much money as Polly and this is expressed as

A = 2L (EQUATION 2)

4. This means that Phoebe has ____ as much money as Polly,

B = 3A
B = 3 x (2L)
B = 6L (EQUATION 3)

This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only.

5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes,

6L + 2L + L = £270
 9L = £270
 L = £30

So, Polly has £30.

6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively.

A = 2L
A = 2(£30)
A = £60

Andy has £60

B = 6L
B = 6(£30)
B = £180

Phoebe has £180

Therefore, Polly's money is £30, Andy's is £60, and Phoebe's is £180.

7 0

2 years ago

PLEASE HELP MATH QUESTION PIC BELOW

Vinil7 [7]

Answer:

∠MNP is your answer

Step-by-step explanation:

Note the angle and the order it is said. It is ∠ABC, which means the double line side, one curve line angle, and then triple line side.

Now look at the second triangle, the same double line side (NM), one curve line angle (∠N), and triple line side (NP)

Put them together: ∠MNP is your answer

3 0

3 years ago