Should you use Sine, Cosine, or Tangent to solve the following problem?

Jada was using square stickers that were 3/4in long to decorate the spine of a photo album. The spine is 10 and 1/2in long. If s

nevsk [136]

Answer:

13

Step-by-step explanation:

Given:

Square stickers that were 3/4 in long
The spine is 10 and 1/2 in long

If she laid the stickers side by side without gaps or overlaps so the number of sticker to cover the length of the spine:

$\frac{The length of the spine}{the length of the sticker}$

10 : $\frac{3}{4}$ ≈13

She needs 13 stickers cover the length of the spine

7 0

3 years ago

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7. If F(x) = f(g(x)), where f(-2) = 8, f'(-2) = 4, f'(5) = 3, g(5)=-2, gʻ(5) = 6.. Find F'(5) <br>

serious [3.7K]

Answer:

I'm going to lay this out in a chart so it's a little easier to see:

F(x) = f(g(x))

x | f (x) | f ' (x) | g (x) | g ' (x)

--------------------------------------

-2 | 8 | 4 |

5 | | 3 | -2 | 6

Remember the chain rule, which says

(f (g (x))) ' = g ' (x) f ' (g (x))

When they ask for F ' (5), they are asking for (f (g (x))) ' when x = 5.

Using the chain rule, that's

F ' (5) = g ' (5) f ' (g (5))

We can simplify using the numbers provided.

F ' (5) = (6) f ' (-2)

F ' (5) = (6) (4)

F ' (5) = 24

I hope that helps!

by jannat <33

7 0

3 years ago

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An arithmetic progression is a sequence of numbers in which the distance (or difference) between any two successive numbers if t

earnstyle [38]

Answer:

Step-by-step explanation:

Solution:

- We are to write a program for evaluating the sum to Nth of an arithmetic sequence such that the sequence starts from positive integer 1, 3 , 5 , 7 , .. n.

- The sum to nth for the arithmetic series is given by two parameters i.e first integer a = 1 and the distance between successive integers d = 2 in our case.

- For any general distance d we can write our sum to nth as:

Sum to nth = a + (a+d) + (a+2*d) + (a+3*d) .... (a + (n-1)*d)

- From above sequence we can see that every successive number is increased by distance d and added in previous answer.

- We will use an iteration loop for a variable "sum", which is cycled by a "range ( , , )" function.

- The parameters of the range functions corresponds to:

range ( first integer , last integer , step size )

range ( a , n + 1 , d )

- Then we can cast the loop as follows:

" int sum = 0

int d = 2

int a = 1

for i in range ( a , n + 1 , d )

sum += i

"

- We see that iteration parameter i starts from a = 1, with step size d = 2 and the sum is previously stored sum value plus i for the current loop.

3 0

3 years ago

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Please please help me with this

MrMuchimi

Answer:

y = 9x - 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, - 38) and (x₂, y₂ ) = (8, 61)

m = $\frac{61+38}{8+3}$ = $\frac{99}{11}$ = 9, thus

y = 9x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 61), then

61 = 72 + c ⇒ c = 61 - 72 = - 11

y = 9x - 11 ← equation of lie

3 0

3 years ago

Anthony bought six pounds of fish for $13.80. based on that cost , how much would 2.5 ibs of the same fish cost?

Anna [14]

6 pounds cost $13.80

1 pound will cost $13.80/6

2.5 pounds will then cost 13.80/6 * 2.5 = $5.75

$5.75

4 0

3 years ago