Price before tax = $40
Price after tax = $43.70
Sales Tax = $43.70 = $40 = $3.70
Sales Tax Rate = 3.70/40 x 100 = 9.25%
Answer: 9.25%
Answer:
x = sqrt (2), y = sqrt (2)
Step-by-step explanation:
Here is how we can approach this problem in a step by step solution:
- Look at what we are given - we know that the triangle is a right triangle (has a square on one of its angles representing 90 degrees), and the hypotenuse (the side opposite 90 degree angle) is 2 units long, and one of the other angles is 45 degrees
- Using this information about angle measurements, we can solve for the third angle using the sum of angles in a triangle equals 180 degrees theorem: 180 - 90 - 45 = 45. After solving, we get that the final angle is 45 degrees
- Now, we know that the angles of the triangle are 90, 45, and 45 degrees. Using the base angle theorem, we know that his triangle must be an isocoles right triangle
- That means that both legs of the triangle must be congruent (x = y)
- Finally, we can use the Pythagorean theorem because this is a right triangle to solve for the missing sides 4 = x^2 + y^2, 4 = 2 + 2, x = sqrt (2) y = sqrt (2)
*Also, if you knew that a 45-45-90 triangle's sides form a ratio of a, a, and sqrt (2) a, you could also use that and substitute in the values to solve. Both ways work! Hope this helps!!
Answer:
84 cm^3
14080 cm^3
81 cm^3
Step-by-step explanation:
Remember the formulas for volume, and you're golden.
a) V(prism) = area of base * height
= 12 cm^2 * 7 cm = 84 cm^3
b) V(prism) = area of base * height
= 88 cm^2 * 160 cm = 14080 cm^3
c) V(cylinder) = area of base * height
= 54 cm^2 * 1.5 cm = 81 cm^3
(0, 4)
(-1, -3)
(2, -3)
For a 90 degrees clockwise rotation, the rule is (y, -x)
