Omi67

The shaded region shown consists of 11 unit squares and rests along the $x$-axis and the $y$-axis. The shaded region is rotated about the $x$-axis to form a solid. In cubic units, what is the volume of the resulting solid? Express your answer in simplest form in terms of $\pi$.

A large sphere has a volume of $288\pi$ cubic units. A smaller sphere has a volume which is $12.5\%$ of the volume of the larger sphere. What is the ratio of the radius of the smaller sphere to the radius of the larger sphere? Express your answer as a common fraction.

144°+144°+72°=360°

What is the product of all the coordinates of all the points of intersection of the two circles defined by x^2-2x+y^2-10y+25=0 and x^2-8x+y^2-10y+37=0?

Find the set of values of k for which this equation has two real roots.

3x² + 2kx + k = 0

An archeologist found the remains of an ancient wheel,which she then placed on a grid, and an arc of the wheel passes through the A(-7,0),B(-3,-4) and C(7,0), locate the center of the wheel, and the standard equation of the circle defining its boundary.

.....or you use this way

What is the area of the triangular region? Express your answer as a decimal to the nearest hundredth.

Can someone help me with this , I don`t  understand how   is equal  step by step pleas.

A function has a horizontal asymptote of y=-4 a vertical asymptote of x=3 and an -intercept at (1|0).

3²ⁿ + 3ⁿ - 2 = 0     n=?