The length of a red rectangle is 15cm more than its widthw. A blue rectangle, which is 5cm wider and 2cm shorterthan the red one, has a perimeter of 72cm. Make a sketch of therectangles expressing all dimensions in terms of w. Thenfind the dimensions of each rectagle.

Find an equation of the plane. The plane through the points (2, 1, 2), (3, −8, 6), and (−2, −3, 1), help please

A consumer in a grocery store pushes a cart with a force of 35 N directed at an angle of ${\displaystyle {25}^{\circ }}$ below the horizontal. The force is just enough to overcome various frictional forces, so the cart moves at a steady pace. Find the work done by the shopper as she moves down a ${\displaystyle 50.0-m}$ length aisle.

What is the derivative of ${\displaystyle \arcsin \left[x^{\frac{1}{2}}\right]}$?

What is the derivative of ${\displaystyle y=\arcsin \left(\frac{3x}{4}\right)}$?

Determine if the graph is symmetric about the $x$-axis, the $y$-axis, or the origin.$r=4\cos 3\theta$.

How to differentiate ${\displaystyle 1+{\cos }^2\left(x\right)}$?

What is the domain and range of ${\displaystyle \left|\cos x\right|}$?

How to find the value of ${\displaystyle \csc 74}$?

How to evaluate ${\displaystyle \sec \left(\pi \right)}$?

Using suitable identity solve (0.99)raised to the power 2.

How to find the derivative of ${\displaystyle y=\tan \left(3x\right)}$?

Find the point (x,y) on the unit circle that corresponds to the real number t=pi/4

How to differentiate ${\displaystyle {\sin }^{3}x}$?

A,B,C are three angles of triangle. If A -B=15, B-C=30. Find A , B, C.

Find the value of $\sin {270}^{\circ }$.