Answer:
The answer to your question is Ф = 45°
Step-by-step explanation:
Data
A (1, 4)
B (-1, 2)
Process
1.- Find the slope of the line
formula
m =
Substitution
m =
Slope definition, is the steepness of a line and also is the tangent of the angle of the line.
tangent Ф = slope
tangent Ф = 1
Ф = tangent⁻¹ 1
Ф = 45°
Answer:
b.
Step-by-step explanation:
If he can make 12 salads in 20 minutes and there are only 45 minutes available he can make 27 salads.
2 x 20 = 40
20 / 4 = 5
40 + 5 = 45
now do the same for 12.
2 x 12 = 24
12 / 4 = 3
24 + 3 =27
Answer:
a) 60°
b) 60°
Step-by-step explanation:
A regular hexagon can be broken down into 6 equilateral triangles.
*** Note: Attached picture shown.
a)
The angle between two consecutive radii would be taken as EO and OD.
Since all of these 6 angles (of 6 triangles) create a circle, the sum is 360. So each angle (between two radii) would be 360/6 = 60°
b)
To find angle between side and radius of a polygon, let's take the radii as EO and side as ED.
Since we already found the angle between 2 radii to be 60, we have two angle left of a triangle (same size, let's call it x). We know sum of 3 angles in a triangle is 180, thus we can write:
60 + x + x = 180
60 + 2x = 180
2x = 180 - 60
2x = 120
x = 120/2
x = 60°
We have a sequence that meets the given criteria, and with that information, we want to get the sum of all the terms in the sequence.
We will see that the sum tends to infinity.
So we have 5 terms;
A, B, C, D, E.
We know that the sum of each term and its neighboring terms is 15 or 25.
then:
- A + B + C = 15 or 25
- B + C + D = 15 or 25
- C + D + E = 15 or 25
Now, we want to find the sum of all the terms in the sequence (not only the 5 given).
Then let's assume we write the sum of infinite terms as:
Now we group that sum in pairs of 3 consecutive terms, so we get:
So we will have a sum of infinite of these, and each one of these is equal to 15 or 25 (both positive numbers). So when we sum that infinite times (even if we always have the smaller number, 15) the sum will tend to be infinite.
Then we have:
If you want to learn more, you can read:
brainly.com/question/21885715