6x^2 = 54
6(x^2) = 54
6(x^2)/6 = 54/6
x^2 = 9
rt(x^2) = rt(9)
x = 3
hope this helps
Answer:
59 accidents were investigated.
Step-by-step explanation:
The question above is a probability question that involves 2 elements: causes of accidents.
Let
A = Alcohol
E = Excessive speed
In the question, we are given the following information:
18 accidents involved Alcohol and Excessive speed =P(A ∩ E)
26 involved Alcohol = P(A)
12 accidents involved excessive speed but not alcohol = P( E ) Only
21 accidents involved neither alcohol nor excessive speed = neither A U B
We were given P(A) in the question. P(A Only) = P(A) - P(A ∩ E)
P(A Only) = 26 - 18
= 8
So, only 8 accident involved Alcohol but not excessive speed.
The Total number of Accidents investigated = P(A Only) + P( E only) + P(A ∩ E) + P( neither A U B)
= 8 + 12 + 18 + 21
= 59
Therefore, 59 accidents were investigated.
Answer:
the span of the bridge is 73.7 feet
Step-by-step explanation:
The equation of an ellipse with a vertical major axis(i.e major axis parallel to y axis) is given by:
a>b
where (h,k) are the coordinates of the center of the ellipse, a is the length of the major axis and b is the length of the minor axis
For this problem, the center of the ellipse (h,k) = (0,0)
Therefore:
The top of the arch is 20 feet above the ground level (the major axis), therefore a=20
length of the major axis = 2a= 2*20 = 40
The coordinates of the ellipse (x,y) = (28,13)
b² ≅ 1358
b≅36.85
Length of minor axis (2b) = 73.7 feet.
the span of the bridge is 73.7 feet
280÷7=40.
280-80 = 200.
200×280=5,600
Length divided by scale length to find the amount that each inch scale size equals 40 yards per inch.
5 inches equals 200 yards
Then multiply length times width.
200x280=5,600 yds
