In a right triangle, if ∠θ=45° and the side opposite to this angle is 5√2 meters, what is the approximate length of the hypotenuse?

A travel website reports that in a particular city, the probability of rain on any day in April is 40%. What is the expected number of rainy days in this city during the month of April?

How do you write these as mathematical word expressions? TIA 1. 14 - (n+3x) 2. 3n+x

Will the solution to the following equation be positive or negative? b : - 2 = 5

What are the differences and similarities between the Pythagorean Theorem and the Distance Formula? Which method do you think might be more useful in solving most problems?

What expression is equivalent to - x + 5 - 13 + 12x

At smith mountain lake boat rentals, it cost $25 per hour to rent a pontoon boat, plus a one-time charge for cleaning. The Bengel family rented a boat from 11 am - 6:30 pm and paid $226.50.

Which system of equations has infinitely many solutions? A) 6x + 3y = 12 3x + y = 9 B) 2x + 3y = 6 4x + y = 8 C) 12x + 9y = 6 4x + 3y = 6 D) 5x + 10y = 20 2x+4y=8

A square orange rug has a yellow square in the center. The side length of the yellow square is x inches. The width of the orange band that surrounds the yellow square is 11 in. What is the area of the orange band?

Can the function f (x) = x²-4x+4 be factored? If so, write the factored form.

A manatee eats the equivalent of about 12% of its body weight each day. Write an equation that represents the amount y (in pounds) of food a manatee eats each day for its weight x. Identify the independent and dependent variables.