Answer:
x = 7
Step-by-step explanation:
--> Triangle Similarity Theorem
120 = 8(3x - 6) --> Cross Multiplying
120 = 24x - 48 --> Distributing the 8
24x - 48 + 48 = 120 + 48 --> Adding 48 on both sides
24x = 168 --> Simplifying
24x/24 = 168/24 --> Divide 24 on both sides
x = 7 --> Simplifying
Hope this helped! <3
Set up a proportion. 6/10 = 9/x. cross multiply so x times 6 = 6x. And 10 times 9 = 90. so 6x=90. Then 90 and 6x divided by 6. which gets you x=15. The 9 ft tall elephant will cast a 15 ft shadow.
In the morning
(3/4) (strawberries / minutes) * (60/1) (minutes / hours) = 45 (strawberries / hours)
in the afternoon
(2/3) (strawberries / minutes) * (60/1) (minutes / hours) = (40 strawberries / hours)
the difference between your morning and afternoon packing rates, in pints per hour is
45-40 = 5 (strawberries / hours)
Answer:
Step 1 should be (14.4+18)...PEMDAS
Step-by-step explanation:
Answer:
Perimeter of the sector = (36 + 8π) cm.
Step-by-step explanation:
Formula to find the of an arc of the circle is,
Length of the arc = ![\frac{\theta}{360}(2\pi r)](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctheta%7D%7B360%7D%282%5Cpi%20r%29)
Here, θ = central angle formed by the arc
r = radius of the circle
Therefore, length of the arc given in the picture = ![\frac{80}{360}(2\pi) (18)](https://tex.z-dn.net/?f=%5Cfrac%7B80%7D%7B360%7D%282%5Cpi%29%20%2818%29)
= 8π cm
Perimeter of the sector = Sum of all sides of the sector
= Length of radius + length of the arc + length of radius
= 18 + 8π + 18
= (36 + 8π) cm
Perimeter of the sector is (36 + 8π) cm.