Answer:
Step-by-step explanation:
multiplying fractions is usually super simple. You just multiply the top numbers and multiply the bottom numbers. So 2/3 * 5/7 = (2*5)/(3*7) = 10/21.
Here you have mixed fractions. For me, the easiest way is to make them improper fractions and then multiply them. So 2 and 3/4 becomes 11/4 and 1 and 13/20 becomes 33/20. Let me know if you don't get that.
Anyway, if we make the unknown fraction x we can rewrite this as an algebraic equation.
(11/4)x = 33/20 Now just multiply both sides by 4 and divide both sides by 11 and you will get
x = 3/5
Again, let me know if there's something you don't understand.
The is five hours because you divide 225 miles by 45 miles
Know that:
sin(β)=Opposite/Hypotenuse
Therefore:
sin(54)=x/10
Therefore:
x=10*sin(54)
x=8.1 (To the nearest tenth)
Daniela made her error on step 3 because it says: <span>
<span>"Find the ratio of the differences of the means compared to the mean absolute deviation.
</span><span>
She didn't find the difference between the today and last week means. She just put the mean as a whole.</span></span>
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
