Geometry
Find the area of a circle with a diameter of 6 inches
What is 28.27 inches2? (NO UNITS NO POINTS)
Is a 197-lb weight lifter light enough to compete in a class limited to those weighing 90 kg or less?
What is yes?
Differentiate
g(t)=(4t2−3t+2)-2
What is −2(8t−3)(4t2−3t+2)-3
An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance traveled before takeoff.
What is 1720 m?
A 15 m cable is cut into two pieces such that the first piece is four times larger than the second. Find the length of each piece.
What is P1=12 and P2=3?
The second angle (A2) of a triangle is double the first (A1). The third angle (A3) is 40° less than the first (A1). Find the three angles.
What is A1=55°, A2=110°, and A3=15°?
Integrate
∫ 4x6−2x3+7x−4 dx
What is 4/7x7−1/2x4+7/2x2−4x+C?
The distance between the centers of two oxygen atoms in an oxygen molecule is 1.21 x 10-8 cm. What is this distance in inches?
4.76 x 10-9 in
The sum of the measures of the angles of an n-gon is 2340°. How many sides does this n-gon have?
What is 15 Sides?
Differentiate g(z)=10tan(z)−2cot(z)
What is g′(z)=10sec2(z)+2csc2(z)
Two 10 meter tall poles are 30 meters apart. A length of wire is attached to the top of each pole and it is staked to the ground somewhere between the two poles. Where should the wire be staked so that the minimum amount of wire is used?
What is midway?
A block of iron with mass 10kg is sitting on an incline that has an angle of 30 degrees above horizontal. What is the normal force on the block of iron?
What is 86.6 N?
In triangle ABC, angles A and B measure 60 degrees and 45 degrees, respectively. The bisector of angle A intersects BC at T, and AT = 24. The area of triangle ABC can be written in the form a + b√c, where a, b, and c are positive integers, and c is not divisible by the square of any prime. Find a + b + c.
What is 291?
A Ferris wheel is 12 meters in diameter and makes one counterclockwise revolution every 6 minutes. Given that riders board the Ferris wheel at ground level, how long does it take for a rider to go from ground level to a height of 9 meters?
What is 2 min?
A rock is dropped into the center of a circular pond. The ripple moved outward at 4 m/s. How fast does the area change, with respect to time, when the ripple is 3m from the center?
What is 24π m2/s?
A 0.4 kg block on a horizontal surface. What is the coefficient of kinetic friction between the block and surface when it takes 0.9 N of force to keep the block moving at a constant velocity?
What is µ=0.20?