Answer:
Step-by-step explanation:
x+20=11x+30 minus x from both sides
20=10x+30 minus 30 from both sides
-10=10x divide by 10
x= -1
9) It helps to draw a picture. Since one angle is 60°, the other angle is 120°. When you draw the ddiagonal lines, you will see that you end up with a 30°-60°-90° triangle where √3 is the hypotenuse. The longest diagonal will be across from the 60° angle, which will be length a√3. The length of the hypotenuse is 2a. (Remember: a, a√3, 2a are lengths for this special triangle)
2a = √3 → a = √3/2.
side across from 60° = a√3 = (√3/2)·√3 → side from across 60° = 3/2
Remember that this is only one-half of the diagonal of the rhombus so multiply that by 2.
Length of longest diagonal is 3.
10) Volume of a square pyramid = (1/3) B · h, where B is the area of the base
200 = (1/3)B(12)
50 = B
Since the base is a square, then each side is √50 (which equals 5√2).
Now, to find the lateral edge, use Pythagorean Theorem (a² + b² = c²).
Height (a) = 12, base (b) = 5√2, and lateral edge (c) is unknown.
(12)² + (5√2)² = c²
144 + 50 = c²
194 = c²
√194 = c
Lateral edge is √194.
Answer:
9 5/7
Step-by-step explanation:
You add all the 13/14 then divided it by 14
Then add all the while numbers then add then add them all together
Answer:
Castles made: N day 1
N - 4 day 2
N - 8 day 3
N - 12 day 4
N - 16 day 5
Total 5 N - 40 = 80
N = 24 total castles day 1
Total castles = 24 + 20 + 16 + 12 + 8 = 80
