Answer:
T.A. = 144 + 36√3 units²
Step-by-step explanation:
∵ The total surface area of the pyramid = the sum of the area of
the four faces (one base and 3 side faces)
∵ The 3 side faces have the same dimensions 12 , 10 , 10
∴ the area of the 3 faces = 3 × 1/2 × 12 × h
∵ The height of each triangle is ⊥ to its base
∵ The triangle are isosceles
∴ The height bisects the base
∴ h² = 10² - 6² = 64
∴ h = √64 = 8
∴ The area of the 3 triangles = 3 × 1/2 × 12 × 8 = 144 units²
∵ The base is equilateral Δ with side length 12
∵ Area equilateral triangle = 1/4 × s² × √3
∴ The area of the base = 1/4 × (12)² × √3 = 36√3 units²
∴ T.A. = 144 + 36√3 units²
To get from C(-1, 4) to C'(-3,0), we must subtract the x value by -2. This gets us -3 (-1-2=-3). To get from 4 to 0, we must subtract the y-values by 4. This gets us a translation of 2 left and 4 down or T₋₂,₋₄
Answer:
hours
Step-by-step explanation:
Whenever 2 quantities (suppose a and b) are inversely proportional to each other, we can write an proportionality equation (with k as proportional constant) as:
Since, here t is INVERSELY PROPORTIONAL to r, we can say:
Firstly, we have t = 2 hour and r = 40 mph, so we find k:
Now, secondly, we have r = 45 and k = 80, we need to find t:
So, it would take hours
1/5 is the answer. How to slove: You turn the mixed number into an improper fraction which would be 15/4 =, because 4(3)= 12 + 3 = 15 and the denominator stays the same so it would be 15/4. Next, multiply ( the but dont forget to "flip" the improper fraction so it's 4/15) 3/4(4/15)= 1/5
Answer:
paid to buy = 1850
profit = 10%
Step-by-step explanation:
2035 = 110%
1% ~ = 18.5
100% = 1850
2035 - 1850 = 185
185 / 1850 * 100 = 10% profit
