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1. Two cables are pulling on a steel beam. Both attached at the same location (0, 0). the first cable pulls with a force of 1 500 newtons at a 76° angle and the second cable pulls with a force of 2100 newtons at a 138° angle.
(a) Sketch two vectors that model this situation. Draw to scale!
(b) Express each vector in component form, as (a1 , a2)
(c) Find the sum of the two vectors, which will be the
Resultant force on the steel beam
(d) Find the magnitude and direction angle of the resultant force.
(c) Use the parallelogram rule to sketch the resultant force.
The professor counts his midterm as 2/3 of the grade and his final as 11/3 of the grade. Wendy scored only 48 on the midterm. What range of scores on the final exam would put her average between 70 and 79 inclusive?
For the pairs of lines defined by the following equations indicate with an "I" if they are identical, a "P" if they are distinct but parallel, an "N" (for "normal") if they are perpendicular, and a "G" (for "general") if they are neither parallel ..
A bag contains 5 yellow marbles, 16 green marbles, and 2 red marbles. What is the chance of drawing a yellow marble? If a yellow marble is drawn the first time and then a second marble is drawn without replacement
Drawing at least one black card when you draw a card from a standard deck 6 times, replacing the card each time you draw so that there are always 52 cards in the deck.
An extension ladder adjusts in length from 10 ft to 16 ft. Suppose you've leaned your ladder against your house, so that, at its minimum length, it touches the base of your first floor window, 9 feet above the ground.
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
Find the largest area of an Isosceles triangle if the two equal sides are 15cm long.
Real mean difference in interval
The amount of credit card debt is $5,270.00 with an average APR of 15.53%. Considering the minimum monthly payment of $120.00 determine the interest.
Test to see if population means are the same or different
The shortlist consists of 7 men and 3 women. Because all the shortlisted applicants are considered to be equally qualified, the names of two of them are drawnn, one after the other at random, to be called for an interview.
Where x is the number of years since the material was put into the vault. If 200 pounds of the material are initially put into the vault, how many pounds will be left after 90 years?
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