I assume there's a plus sign missing above...
Convert to polar coordinates, using

Then the Jacobian is

Then

so the integral can be written as

Let

, so that

.
Answer:26.9 feet
Step-by-step explanation:
SOH-CAH-TOA
\tan M = \frac{\text{opposite}}{\text{adjacent}}=\frac{74}{x}
tanM=
adjacent
opposite
=
x
74
\tan 70=\frac{74}{x}
tan70=
x
74
x\tan 70=74
xtan70=74
Cross multiply.
\frac{x\tan 70}{\tan 70}=\frac{74}{\tan 70}
tan70
xtan70
=
tan70
74
Divide each side by tan 70.
x=\frac{74}{\tan 70}=26.9338\approx 26.9\text{ feet}
x=
tan70
74
=26.9338≈26.9 feet
Type into calculator and roundto the nearest tenth of a foot.
L
M
N
74
26.9
(opposite of ∠M)
(adj. to ∠M)
(hypotenuse)
70°
11x11=121
$140-121=19
19/7=
It would take approximately 2hours and 71 minutes to meet her requirements.
We have that the probability of Janice rolling a 2 or 5 on her 7th toss of the dice is

From the question we are told that
Janice rolled either a 2 or a 5 on the last 6 rolls of the die
Janice rolling a 2 or 5 on her 7th toss of the dice

Where

Janice roll the standard die 7th time the probability of getting 2 or 5 is

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Answer:
The wheels have to rotate 500 times
Step-by-step explanation:
The wheel is 1 meter in diameter so we need to find the circumference.
C = 2
r
C = 2
1
C= 2
2meters = .002kilometers
1000meters = 1kilometer
1000/2 = 500