Answer:
71
Step-by-step explanation:
4, 7, 12, 21, 38, ...
- 2+2=2¹+2
- 4+3= 2²+3
- 8+4= 2³+4
- 16+5= 2⁴+5
- 32+6= 2⁵+6
next term:
nth term:
Answer: 26.13yards^2
Step-by-step explanation:
To find the area of the bottom part we can use the diameter.
6 yards. Divide it by half to have the Radius.
Now we use the formula to find the area of a circle which is
A = 3.14*R^2 Pie times radius squared.
A = 3.14*3^2
A = 3.14*9
A = 28.26 Now that we have the area of the circle divide it by 2.
14.13
Now to find the area of an isosceles triangle we use the formula
A = Base * Height Divided by 2.
A = 6*4/2
A = 24/2
A = 12
12 + 14.13 = 26.13
D = 25 ft is the length of a shadow. L - the length of a tree.
Two angles are 85° and 65° and the third is 180° - ( 65° + 85° ) =
= 180° - 150° = 30°.
We will use the Sine Law:
25 / sin 30° = L / sin 65°
25 / 0.5 = L / 0.9063
25 * 0.9063 = 0.5 L
22.6577 = 0.5 L
L = 22.6577 : 0.5
L = 45.3 ft.
Answer: the approximate length of the tree is 45.3 ft.
Answer:
x ≤ -5
Step-by-step explanation:
According to given condition:
3x + 17 ≤ 2(1 - x)
By simplifying:
3x + 17 ≤ 2 - 2x
Adding 2x - 17 on both sides we get:
3x + 2x ≤ 2 - 17
5x ≤ - 15
Dividing both sides by 5 we get:
x ≤ -5
i hope it will help you!
I believe the answer is X=15
