In the following questions, simplify the given formulae:

2. sin50°cos 40° - cos50°sin 40°

3. cos75°cos 15° - sin75°sin 15°

Karen is 6 years older than Michelle and Michelle is 2 years younger then their brother. The sum of their ages is 62 how old is michelle

3. Jackson cut a pentagon out of poster board to make a sign for his door. The perimeter of the sign is 30 inches and each side of the sign has the same length What is the length of each side of the sign?

See if you're a genius by answering this question! A 2-liter bottle of soda (67.6 ounces) costs $1.89. A case of twelve 12 ounce cans of the same soda costs $2.99.

Explain how to determine if the number is a solution to the equation. n + 6 = 33 for n = 27

Suppose the length and width of the box double. Does the surface area S double? Complete the explanation. 10 cm 27 cm 24 cm (select) y: Pn (select) and 28 (select) s (select)

Aunt Annie and her family traveled 253 miles on Tuesday and 157 miles on Wednesday. It is 473 miles from Annie's to Grandma's How many miles do they have left to travel on Thursday?

There are 56 students in the orchestra and twice that number in the band. There are 23 boys and 24 girls in the choir. If each student only participates in one group, how many students total are there in the orchestra, the band, and the choir?

What is the length of the diagonal of the rectangle? A) 29.75 B) 10.625 C) 126.4375 D) 21.25 With sides of 12.75 and 17 on the bottom.

An equilateral triangle's perimeter and a rectangle's perimeter have the same numerical value. The length of the rectangle is the same as the side of the triangle. The width of the rectangle is 12. What is the length of the rectangle?

Where do two perpendicular lines intersect