Answer:
The length is
B
D
=
36
c
m
Explanation:
Let the mid-point of
B
C
be
=
E
Let the mid-point of
C
D
be
=
F
Then,
A
G
=
2
3
A
E
and
A
G
'
=
2
3
A
F
As
G
and
G
'
divide
A
E
and
A
F
in the same ratio
The lines
G
G
'
and
B
D
are parallel
We apply Thales' Theorem
G
G
'
=
2
3
E
F
E
F
=
3
2
⋅
12
=
18
c
m
B
D
=
2
⋅
E
F
=
2
⋅
18
=
36
c
m
Step-by-step explanation:
Answer: c
Step-by-step explanation:
Answer:
max height = 7.5 ft
1.3 ft far
Please check below for the detailed answer
Step-by-step explanation:
<u>Given: </u>
f(x) = −0.3x^2 + 2.1x + 7
a) To obtain the maximum height , find f'(x)
f'(x) = - 0.6x + 0.8 = 0
=> x = 0.8 / 0.6 = 1.33 feet
So f(x) is maximum at a horizontal distance of 1.33 ft
To find the max height , find f(1.33)
f(x) = −0.3x^2 + 2.1x + 7, plug in 1.33 for x
=> f(1.33) = −0.3(1.77) + 0.8(1.33) + 7 = 7.5 ft
So the answer is
Maximum height = 7.5 ft , and 1.3 ft far from where it was thrown.
<h3>
Answer: 0.48</h3>
==========================================================
Explanation:
Define the events
- D = person orders a drink
- H = person orders a hamburger
- F = person orders fries
The given probabilities are
- P(D) = 0.90
- P(H) = 0.60
- P(F) = 0.50
- P(F given H) = 0.80
The notation "P(F given H)" refers to conditional probability. If we know the person ordered a burger, then it changes the P(F) from 0.50 to 0.80; hence the events H and F are dependent.
----------------------
We want to find the value of P(H and F), which is the same as P(F and H)
We can use the conditional probability formula
P(F given H) = P(F and H)/P(H)
P(H)*P(F given H) = P(F and H)
P(F and H) = P(H)*P(F given H)
P(F and H) = 0.60*0.80
P(F and H) = 0.48
There's a 48% chance someone orders a burger and fries.