Answer:
nth term = 1 + n(13/4)
Step-by-step explanation:
3n + n/4 + 1
n = 1, 3(1) + (1)/4 + 1 = 4 + ¼ = 17/4
n = 2, 3(2) + (2)/4 + 1 = 7 + ½ = 30/4
n = 3, 3(3) + (3)/4 + 1 = 10 + ¾ = 43/4
n = 4, 3(4) + (4)/4 + 1 = 14 = 56/4
The difference between consecutive terms is 13/4
At n = 1, 17/4 = 1 + 1(13/4)
At n = 2, 30/4 = 1 + 2(13/4)
nth term = 1 + n(13/4)
I first plotted the three points and from from their position it was clear which pairs to join to start a rectangle.
At this point you need to check to make sure the angle at B is a right angle. Find the slope of the line segments AB and BC and check that the product of the slopes is -1.
From the diagram you can now see where the fourth point D has to be. If AB and CD are parallel then D must be 3 units to the left of C and 2 units above C. Find the coordinates of D and then check by finding the slopes of CD and DA and showing that the angle at D is a right angle.
I hope this helps
Answer:
-4y=40
y=-10
x-3(-10)=17
x-30=17
x=17+30
x=47
Step-by-step explanation:
Answer:
Explanation:
<u>1) Data:</u>
a) height of the person = opposite-leg to the angle the sun makes with the ground = 5 ft
b) length of the shadow = adjacent-leg to the angle the sun makes with the ground = 12 ft
c) angle, α = ?
<u>2) Solution</u>
- tanα = opposite-leg / adjacent-leg
- tanα = 5 ft / 12 5t = 5/12
- 22.6° rounded to the nearest degree is 23° ← answer