Question

A parallelogram has adjacent sides in the ratio of 2:1 that make an angle of 60...

A parallelogram has adjacent sides in the ratio of 2:1 that make an angle of 60 degrees

with each other. Find the acute angle made by the diagonals of this parallelogram (first obtain an

expression in terms of integers and then evaluate it numerically to get an angle in degrees).

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. Find the area of the parallelogram that has the given vectors as adjacent sides. Use...
1. Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer algebra system or a graphing utility to verify your result. u = 3, 2, −1 v = 1, 2, 3 3. Find the area of the triangle with the given vertices. Hint: 1 2 ||u ✕ v|| is the area of the triangle having u and v as adjacent sides. A(4, −5, 6), B(0, 1, 2), C(−1, 2, 0)
1- A homeowner has a triangular-shaped backyard. Two of the three sides measure 60 feet and...
1- A homeowner has a triangular-shaped backyard. Two of the three sides measure 60 feet and 72 feet and form an included angle of 120°. To determine the amount of grass seed needed, the owner needs to know the area of the yard. Find the area of the yard. 2- A 310 foot tall tower is supported by guy wires that run from the tower’s top to the ground making angles of 70° with the ground. Find the length of...
1.Let θ (in radians) be an acute angle in a right triangle and let x and...
1.Let θ (in radians) be an acute angle in a right triangle and let x and y, respectively, be the lengths of the sides adjacent to and opposite θ. Suppose also that x and y vary with time. At a certain instant x=1 units and is increasing at 9 unit/s, while y=7 and is decreasing at 19 units/s. How fast is θ changing at that instant? 2.An airplane in Australia is flying at a constant altitude of 2 miles and...
1.a triangular pasture has sides of length 375 feet, 250 feet, and300 feet.calculate the area of...
1.a triangular pasture has sides of length 375 feet, 250 feet, and300 feet.calculate the area of the pasture 2. ambiguous case of the law of sines: two sides and an angle are given. Determine whether the given information results in one triangles, two triangles ,or no triganlge at all. clearly show how you use the law of sines. you do not need to solve the triangles. a) a=3, b=7, A=70 degrees. b) a = 20, c= 30,B=40 degrees. c) a...
1. A truck with 24-in.-diameter wheels are traveling at 60 mi/h. Find the angular speed of...
1. A truck with 24-in.-diameter wheels are traveling at 60 mi/h. Find the angular speed of the wheels in rad/min:    rad/min How many revolutions per minute do the wheels make?    rpm 2. Without using a calculator, compute the sine and cosine of 300∘300∘ by using the reference angle. (Type sqrt(2) for √22 and sqrt(3) for √33.) What is the reference angle?  degrees. In what quadrant is this angle?  (answer 1, 2, 3, or 4) sin(300∘)=sin(300∘)=    cos(300∘)= 3. Find an angle θθ with 0∘<θ<360∘ that...
TEXplor has purchased a 2-year lease on land adjacent to the land leased by Clampett. The...
TEXplor has purchased a 2-year lease on land adjacent to the land leased by Clampett. The land leased by TEXplor lies above the same crude oil deposit. Assume each company sinks wells of the same size at the same time. If both companies sink wide wells, each will extract 2 million barrels in 6 months, but each company will receive profit of only GHC 1 million. On the other if each company sinks a narrow well, it will take a...
TEXplor has purchased a 2-year lease on land adjacent to the land leased by Clampett. The...
TEXplor has purchased a 2-year lease on land adjacent to the land leased by Clampett. The land leased by TEXplor lies above the same crude oil deposit. Assume each company sinks wells of the same size at the same time. If both companies sink wide wells, each will extract 2 million barrels in 6 months, but each company will receive profit of only GHC 1 million. On the other if each company sinks a narrow well, it will take a...
1. A rectangular loop of wire with sides 0.142 and 0.528 m lies in a plane...
1. A rectangular loop of wire with sides 0.142 and 0.528 m lies in a plane perpendicular to a constant magnetic field (see part a of the drawing). The magnetic field has a magnitude of 0.604 T and is directed parallel to the normal of the loop's surface. In a time of 0.104 s, one-half of the loop is then folded back onto the other half, as indicated in part b of the drawing. Determine the magnitude of the average...
Math 163 April 28th. 1) Consider the function ?(?) = ? 2? 3?. Write the first...
Math 163 April 28th. 1) Consider the function ?(?) = ? 2? 3?. Write the first three non-zero terms of the following series, and find a series formula: a. the Maclaurin series of ?(?). b. the Taylor series of ?(?) centered at ? = −2. 2) Consider the function ?(?) = ? arctan(3?). Write the first three non-zero terms of the following series, and find a series formula: a. the Maclaurin series of ?(?). b. the Taylor series of ?(?)...
A pirate has left his treasure chest sitting on a hillside (inclined plane), where the static...
A pirate has left his treasure chest sitting on a hillside (inclined plane), where the static friction prevents it from sliding down. The treasure chest has mass m, and the incline makes an angle theta with the horizontal. a) (3 points) Draw the free-body diagram for the treasure chest sitting on the hillside. Label all forces, and make sure that directions and magnitudes are correct, to reasonable accuracy. Draw the coordinate system that you want to use, too. b) (7...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT