Charlie receives an email from his brother every 4th day and from his sister every 7th day. when will he receive an email from both on the same day?

Suppose that △ opq is isosceles with base qp . suppose also that m ∠ o = (5x + 43) ° and m ∠ q = (3x + 30) ° . find the degree measure of each angle in the triangle.

Find the arc length parameter along the given curve from the point where tequals=0 by evaluating the integral s(t)equals=integral from 0 to t startabsolutevalue bold v left parenthesis tau right parenthesis endabsolutevalue d tau∫0tv(τ) dτ. then find the length of the indicated portion of the curve r(t)equals=1010cosine tcost iplus+1010sine tsint jplus+88t k, where 0less than or equals≤tless than or equals≤startfraction pi over 3 endfraction π 3.

Pete is making decorations for a dinner party. the instructions tell him to use 9 flowers for a medium-sized decoration. complete each statement to adjust the flowers for different-sized decorations based on these instructions.