Answer:
b)480 cm^2
Step-by-step explanation:
perimeter=(16+12+20) cm
=48 cm
lateral surface area= perimeter × height
=48×10 =480 cm^2
3.25 would be 3 1/4 because,
Step 1: You would rewrite the decimal number as a fraction with 1 in the denominator. So, 3.25 = 3.24/1
Step 2: Multiply it by 1 to eliminate 2 decimals places, so multiply the top and bottom by 10^2 = 100
3.25/1 x 100/100 = 325/100
Step 3: Now you find the greatest common factor, also known as GCF, of 325 and 100 if it exits then you reduce the fraction by dividing both numerator and denominator by it. GCF = 25
3.25/100 divided by 25/25 = 13/4
Now you would simplify it to make a proper fraction getting your answer
3 1/4
Does that make sense?
Answer:
After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.
After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.
After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and the proportion of the sides and angles are not changed.
Step-by-step explanation:
Rigid transformations, i.e. translations, rotations, and reflections, preserve the side lengths and angles of any figure. Therefore, after undergoing a series of rigid transformations, the side lengths and angle measures of any triangle will be the same as the original triangle, generally speaking, in another position.
Answer:
0.9958
Step-by-step explanation:
P(being correct) = 1/4 = 0.25
Hence, p = 0.25
n = 19
P(x ≥ 1) = p(x = 1) + p(x = 2) +... + p(x = 19)
Using the binomial probability formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
However, to save computation time, we could use a calculator :
Using a calculator,
P(x ≥ 1) = 0.99577
P(x ≥ 1) = 0.9958
