Let x = the unknown angle
sine of an angle is measure of the opposite leg divided by the hypotenuse.
sin x = 10/21
To now solve for x, we so the inverse of sine.
sin⁻¹(10/21) = x
Plug this into your calculator.
x ≈ 28.44 degrees. This would round down to 28 degrees, option B is your answer.
Answer:
The approximate distance between the points is 38.2
Step-by-step explanation:
The distance between these two points is a diagonal line. In order to solve this problem, you need to plot your points and form a right triangle. The overall distance from one point to another on the x-axis is 26 (12-(-14)), and the overall distance from one point to another on the y-axis is 28 (20-(-8)). These two distances will form a right angle at (-14,-8). The distances on the x and y axis are the 'legs' of the triangle and the distance between the given points in the problem represents the hypotenuse. Using the pythagorean theorem (a^2 +b^2 = c^2), we can substitute in our values of 'a' and 'b' to get 28^2 + 26^2 = c^2, or 784 + 676= 1460, therefor the square root of 1460 is approximately 38.2.
9 - a (c + 5)
9 - 3 * 4
9 - 12
solution is -3
Answer:
D and B
Step-by-step explanation:
D for the first question and B for the second one
Answer:
a. p = n + m
where: n is the number of pens, and m is the number of pencils
b. p = 71
Step-by-step explanation:
Let the number of pens and pencils that Alex has be represented by n and m respectively.
But,
number of pens, n = 14
number of pencils, m = 57
Then,
total number of pens and pencils, p = number of pens + number of pencils
i.e p = n + m
p = 14 + 57
p = 71
The total number of pens and pencils that Alex has is 71.
