Answers and Explanations:
4. They do not have a proportional relationship. For the first 3 sets, you can multiply x by 2.5 to get y. But that does not work for 8 and 18, so there is no proportional relationship between x and y.
5. Yes. For equilateral triangles, the side length is equal to the perimeter divided by 3, the number of sides. Vise versa, the side length times 3 equals the perimeter. If the side length is 3 in, multiply by 3 to get 9 in, the diameter.
6. Yes. it is proportional. X times 80 equals Y. In this case, in 8 hours, 640 tickets were sold.
<em>I hope these help! Feel free to give me Brainliest, if you thought the explanations helped your understanding. :)</em>
A Google or Bing search box can be your friend, if you don't have a calculator with inverse trig functions. Most calculators that have trig functions also have the inverse functions, usually after a 2nd or "shift" key. Often, there is a mode setting for degrees or radians.
arcsin(0.33) ≈ 19°
arccos(0.47) ≈ 62°
arctan(1.21) ≈ 50°
arcsin(0.82) ≈ 55°
Answer:
see explanation
Step-by-step explanation:
(a)
A recursive formula allows any term in the sequence to be found by adding the common difference d to the previous term.
Here d = - 4 , then recursive formula is
= 
- 4 with a₁ = 2
(b)
The explicit formula for an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = - 4, thus
= 2 - 4(n - 1) = 2 - 4n + 4 = 6 - 4n ← explicit formula
(c)
Using the recursive formula
a₁ = 2
a₂ = 2 - 4 = - 2
a₃ = - 2 - 4 = - 6
Using the explicit formula
a₅ = 6 - 4(5) = 6 - 20 = - 14
a₁₀ = 6 - 4(10) = 6 - 40 = - 34
a₁₀₀ = 6 - 4(100) = 6 - 400 = - 394
Answer:
3 blue birds
Step-by-step explanation:
8-5=3
Answer:
point is (13/4 , 17/2)
Step-by-step explanation:
Let (x1,y1) and (x2,y2) be the end points of a line segment, 'A' is the point on the line segment such that A divides the line segment in the ratio p : q then the coordinates of A (x,y) is given by,
x = x1 + p/w(x2 - x1) and y= y1 + p/w(y2 - y1) where w = p+q
It is given that,
Point A is located at (4, 8) and point B is located at (14, 10) .
Let P be the point on AB such that P divides AB in the ratio 1:3
<u>Find the coordinates of P(x,y)</u>
w = 1+3 = 4
x = x1 + p/w(x2 - x1) = 4 + 1/4(14 -4) = 4 + 10/4 =13/4
y= y1 + p/w(y2 - y1) = 8 + 1/4(10 - 8) = 8 + 1/2 = 17/2
point is (13/4 , 17/2)
