y=45x+200
y is the total cost, x is the number of months, and 200 is the start.
Answer:
Step-by-step explanation:
The first thing we have to do is find the measure of angle A using the fact that the csc A = 2.5.
Csc is the inverse of sin. So we could rewrite as
or more easy to work with is this:
and cross multiply to get
2.5 sinA = 1 and
which simplifies to
sin A = .4
Using the 2nd and sin keys on your calculator, you'll get that the measure of angle A is 23.58 degrees.
We can find angle B now using the Triangle Angle-Sum Theorem that says that all the angles of a triangle have to add up to equal 180. Therefore,
angle B = 180 - 23.58 - 90 so
angle B = 66.42
The area of a triangle is
where h is the height of the triangle, namely side AC; and b is the base of the triangle, namely side BC. To find first the height, use the fact that angle B, the angle across from the height, is 66.42, and the hypotenuse is 3.9. Right triangle trig applies:
and
3.9 sin(66.42) = h so
h = 3.57
Now for the base. Use the fact that angle A, the angle across from the base, measures 23.58 degrees and the hypotenuse is 3.9. Right triangle trig again:
and
3.9 sin(23.58) = b so
b = 1.56
Now we can find the area:
so
A = 2.8 cm squared
Answer:
29.3
Step-by-step explanation:
to find average you find the sum of all the minutes she practiced and divide it by the total amount of day she practiced.
first we have to find the sum of the minutes she practiced:
20+30+40+38+25+22+39+22+26+31
this equation is equal to 293 minutes she practiced in total. Now we have to divide this by the total amount of days she practiced whice according to the data is 10! So:
293/10 =29.3
Answer:
alternate angle, opposite angles are the same, 3x-3 = 147
x = 144/3 , x =48
Step-by-step explanation:
After multiplication, the equation would be :
6x2 + 10x2 - 14x - 15x2 - 25x + 35
= x2 - 29x + 35
