Find the value of x and y
2 answers:
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Answer:
<h2>Step-by-step explanation:
f(x) = 2x + 4
g(x) = 4x² + 1
In order to find (g ∘ f)(0) we must first find
(g ° f )(x)
To find (g ° f )(x) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)
That's
<h3>We have
<h3>Now to find (g ∘ f)(0) substitute the value of x that's 0 into (g ∘ f)(0)
We have
<h3>We have the final answer as
<h3>Hope this helps you
Answer:
The answer to each question is:
- A.) 403.2
- B.) 100. 8
Step-by-step explanation:
A.) To obtain the area of the dodecagon, you can use the next formula:
- Area of a dodecagon = 6 * apothem * edge
In the exercise, we have the edge (6 cm), but, to find the apothem of a dodecagon, that is the distance between the center of the polygon, and the middle point of each side, you can use the next formula:
- Apothem = Edge *
If we replace the value of the edge, we obtain:
- Apothem = 6 cm *
- Apothem = 11.2 cm (approximately).
With this data, we can find the area:
- Area of a dodecagon = 6 * apothem * edge
- Area of a dodecagon = 6 * 11.2 cm * 6 cm
- Area of a dodecagon = 403.2
Then,<u> the area of the dodecagon is 403.2 </u><u> approximately</u>.
B.) As the area obtained is for 12 pieces, when the parents ate 9 pieces, just left 3 pieces, with these values you can make a rule of three.
If:
- 12 pieces = 403.2
- 3 pieces = X
Then:
- X = (3 * 403.2
) / 12
- X = 1209.6
- X = 100. 8
In this form, <u>when the cookie has 3 pieces, its area is 100. 8 </u><u> approximately</u>.
Answer: Length of other edges will be 7.5 inches, 8 inches, 9 inches, 10.5 inches, 12 inches.
Explanation:
Length of smallest cube = 6 inches
Ratio of similarity to the smallest cube is given as follows:
1) 1.25
So, length of other edge will be
2) 4:3
So, the length of other edge will be
3) 1.5
So, length of other edge will be
4) 7:4
So, length of other edge will be
5) 2
So, length of other edge will be