Answer:
B
Step-by-step explanation:
Here, we are told that the rectangle is enlarged by a factor of 6, we now want to calculate the new area of the said rectangle.
Now, for the rectangle to have an area of 20, mathematically the area of a triangle can be calculated using the formula L * B
where L is the length and B is the breadth
our product here is 20, so any product that gives 20 would be a good fit as the value of the width and length of the rectangle
So, let’s say the sides measure 5 inches by 4 inches
Enlarging these by a factor of 6, we have 30 inches by 24 inches
The new area of the rectangle would thus be ;
30 inches * 24 inches = 720 inches^2
the volume of cylinder is 3.14 r^2×h
This question is incomplete because it was not written properly
Complete Question
A teacher gave his class two quizzes. 80% of the class passed the first quiz, but only 60% of the class passed both quizzes. What percent of those who passed the first one passed the second quiz? (2 points)
a) 20%
b) 40%
c) 60%
d) 75%
Answer:
d) 75%
Step-by-step explanation:
We would be solving this question using conditional probability.
Let us represent the percentage of those who passed the first quiz as A = 80%
and
Those who passed the first quiz as B = unknown
Those who passed the first and second quiz as A and B = 60%
The formula for conditional probability is given as
P(B|A) = P(A and B) / P(A)
Where,
P(B|A) = the percent of those who passed the first one passed the second
Hence,
P(B|A) = 60/80
= 0.75
In percent form, 0.75 × 100 = 75%
Therefore, from the calculations above, 75% of those who passed the first quiz to also passed the second quiz.
Answer: 3.5 integers can be in decimals too. and any number counts as an integer except for 0
Answer:
Step-by-step explanation:
In Δ AFB,
∠AFB + ∠ABF + ∠A = 180 {Angle sum property of triangle}
90 + 48 + ∠1 = 180
138 + ∠1 = 180
∠1 = 180 - 138
∠1 = 42°
FC // ED and FD is transversal
So, ∠CFD ≅∠EDF {Alternate interior angles are congruent}
∠2 = 39°
In ΔFCD,
∠2 + ∠3 + ∠FCD = 180
39 + ∠3 + 90 = 180
129 +∠3 = 180
∠3 = 180- 129
∠3 = 51°
