Answer:
see explanation
Step-by-step explanation:
first fill out all sides of the triangle (use pythagorean theorem).
9^2 = 4^2+x^2
x^2 = 81-8 --> x^2 = 73 --> x = √73
csc theta --> hyp/opp
sin theta --> opp/hyp
cot theta --> adj/opp
hyp = 9, adj = 4, opp = √73
csc = 9/√73 --> 9√73/73
sin = √73/9
cot = 4/√73
Answer:
70,900
Step-by-step explanation:
3/10 = .3 and 87/100 = .87
382.3 - 191.87= 190.43
so the answer is 190.43
Hope this helped!! :))
28 in^2
Divide shape into one rectangle and two squares:
Area of rectangle:
10 x 2 = 20 in^2
Area of one square:
2 x 2 = 4 in^2
Multiply that by 2 because we have 2 squares similar in size:
4 in^2 x 2 = 8 in^2
Add the area of the rectangle and two squares:
20 in^2 + 8 in^2 = 28 in^2
Have a nice day
Hope this helps!
First translate the English phrase "Four times the sum of a number and 15 is at least 120" into a mathematical inequality.
"Four times..." means we're multiplying something by 4.
"... the sum of a number and 15..." means we're adding an unknown and 15 and then multiplying the result by 4.
"... is at least 120" means when we substitute the unknown for a value, in order for that value to be in the solution set, it can only be less than or equal to 120.
So, the resulting inequality is 4(x + 15) ≤ 120.
Simplify the inequality.
4(x + 15) ≤ 120
4x + 60 ≤ 120 <-- Using the distributive property
4x ≤ 60 <-- Subtract both sides by 60
x ≤ 15 <-- Divide both sides by 4
Now that we have the inequality in a simplified form, we can easily see that in order to be in the solution set, the variable x can be no bigger than 15.
In interval notation it would look something like this:
[15, ∞)
In set builder notation it would look something like this:
{x | x ∈ R, x ≤ 15}
It is read as "the set of all x, such that x is a member of the real numbers and x is less than or equal to 15".
