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find the equation of the line through the point (5,6) which forma with the axes a triangle whose area is 80.
- the inside of a wash basin is in the shape of segment of a sphere; the distance across the top is 18in. and its greatest depth is 7in. find how many pints of water it will hold, reckoning 7.48gal to the cubic foot.
LESSON: LINES AND PLANES IN SPACE
in your understanding what is meant by the statement "two planes determine a line"? is this universally tru?
SPHERICAL TRIGONOMETRY
- solve for the three vertices of a spherical triangle ABC if the sides measures a=68degree48', b=53degree15' and c=46degree30'.
- solve for these right spherical triangle with parts side c=69degree25' and angle B=63degree25' note that this is a right spherical triangle. (HINT: use the Napier's circle to determine what can be solved first by the given parameters.)
- solve for the area of the spherical triangle in problem 1 and 2 if the sphere has a radius of 30m.
- *show solution*
APPLICATIONS OF TRIGONOMETRY
- An astronomer finds that the distance from planet A to galaxy B is 30 light years and the distance from A to galaxy C is 80 light years. the angle between distance AB and distance AC is measured to be 60 degree.
A. how far apart are the galaxies? (distance of galaxy B to galaxy C); and
B. Find the angle between distance AB to distance BC.
*show complete solution.
In a sample of 1000 tube lights, the mean life and standard deviation of lives are 4500 hrs. And 1500 hrs. Respectively. Assuming the distribution to be normal, found the number of tubes lasting between 4000 hrs and 6000 hrs.
graphing p(x)=x⁶+2x⁵-2x³-x²
Write concepts and Application of Derivative and integral calculus.
Direction: In this section, the question is based on a set of conditions. In answering the question, it may be useful to draw a rough diagram. Choose the response that most accurately and completely answer the question.
A government department labels its files according to these guidelines:
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Each label should be a five digit number
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Can use only the digits 0 to 4. Digits 5 to 9 are not allowed.
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No digit is repeated.
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The 1st digit should be half of the 2nd digit.
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The 5th digit should always be greater than the 3rd digit.
If a file's label's last digit is 1, then
(A) first digit is 2
(B) second digit is 0
(C) third digit is 3
(D) fourth digit is 4
(E) fourth digit is 0
You have been closely monitoring your bike's mileage recently. Here is a table showing two rows representing the amount paid for fuel(in ₹) and the corresponding mileage (in Km). Consider y
y to be the amount paid and x
x to be the corresponding mileage in Km. You have noted down the distance travelled each time when the fuel meter falls back to a fixed reference mark and predicted that the equation of the best fit line as y = 5x - 22
y=5x−22. What will be the value of SSE w.r.t the best fit line?
Amount paid (in ₹)(y)Distance (in Km)(x)
75 20
50 15
60 16
105 25
45 14
