X = height of pole (in meters)
With respect to the 50 degree angle, the side x is the opposite leg. It is the leg furthest from the reference angle. The hypotenuse is 5 meters.
The trig function sine ties together the opposite and hypotenuse
sin(angle) = opposite/hypotenuse
sin(50) = x/5
5*sin(50) = x .... multiply both sides by 5
x = 5*sin(50)
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Since x = 5*sin(50) isn't listed as an answer choice, let's try using cosine. We can't use it right away because we don't know the adjacent side. What we can do is change the reference angle. The missing angle of the triangle is 90-50 = 40 degrees. Let's make the 40 degree angle the reference angle
So x is now the adjacent side with respect to the 40 degree reference angle. The hypotenuse is always the longest side. The hypotenuse stays at 5.
cos(angle) = adjacent/hypotenuse
cos(40) = x/5
5*cos(40) = x
x = 5*cos(40)
This expression is listed. The answer is choice B
Answer:
Maximum error for viscosity is 17.14%
Step-by-step explanation:
We know that everything is changing with respect to the time, "r" is changing with respect to the time, and also "p" just "v" will not change with the time according to the information given, so we can find the implicit derivative with respect to the time, and since

The implicit derivative with respect to the time would be

If we multiply everything by dt we get

Remember that the error is given by
therefore doing some algebra we get that

Since, r = 0.006 , dr = 0.00025 , p = 4*105 , dp = 2000 we get that

Which means that the maximum error for viscosity is 17.14%.
Answer:
$21.25
Step-by-step explanation:
The cost of the 2 adult tickets before the discount is $8 * 2 = $16
The cost of the 2 child tickets before the discount is $5 * 2 = $10
The total cost before the discount is $16 + $10 = $26
The total cost after the discount is
$26 * (1 - 0.15) =
$26 * 0.85 =
$21.25
Answer:
1,560,000 mm²
Step-by-step explanation:
A=
This would make shape A's area <u>480,000</u>.
B=
This would make shape B's area <u>180,000</u>.
C=
This would make shape C's area <u>300,000</u>.
D= 1000×600 This wouls make D's area <u>600,000</u>.
Now you add up all of the areas;
480,000+180,000+300,000+600,000= 1,560,000 mm²