Answer:
Step-by-step explanation:
Jerry charges $15 for each lawn that he cuts. He can cut at most 10 lawns because of his limited time which is due to chores and homework. This means that if he is able to cut lawns, he would be making 10×15 = $150. This is the maximum that he can make. Also, Jerry has determined his fixed cost to be $10 a week. Therefore, his maximum profit will be
150 - 10= $140
This is modelled by the function below
y = 15x − 10
Where y(profit) depends on x(number of lawns).
The domain of this function is the set of all possible values of x for which the function is defined.
The domain of the function is ( x lesser than or equal to 10)
2/5 is the same as 2÷5
2 ÷ 5 = 0.4
0.4 is your decimal form of 2/5
hope this helps
1) All angles of a rectangle are right angles, so the measure of angle CBA is 90 degrees.
2) Since all angles of a rectangle are right angles, angle BAD measures 90 degrees. Subtracting the 25 degrees of angle BAW from this, we get that angle CAD has a measure of 65 degrees.
3) Opposite sides of a rectangle are parallel, so by the alternate interior angles theorem, the measure of angle ACD is 25 degrees.
4) Because diagonals of a rectangle are congruent and bisect each other, this means BW=WA. So, since angles opposite equal sides in a triangle (in this case triangle ABW) are equal, the measure of angle ABW is 25 degrees. This means that the measure of angle CBD is 90-25=65 degrees.
5) In triangle AWB, since angles in a triangle add to 180 degrees, angle BWA measures 130 degrees.
6) Once again, since diagonals of a rectangle are congruent and bisect each other, AW=WD. So, the measures of angles WAD and ADW are each 65 degrees. Thus, because angles in a triangle (in this case triangle AWD) add to 180 degrees, the measure of angle AWD is 50 degrees.
We know that
the law of cosines establish
c²=a²+b²-2*a*b*cos C------> cos C=[a²+b²-c²]/[2*a*b]
in this problem
a=11 units
b=11 units
c=14 units
C=angle A
cos C=[11²+11²-14²]/[2*11*11]-----> cos C=0.19008
C=arc cos (0.19008)------> C=79.04°
the answer is
the measure of angle A is 79°
Answer:
Step-by-step explanation:
The sequence shown matches that of a geometric sequence of radius 4. To prove it, divide the term 
and check that 
Then the formula that represents this sequence is:
Where 
is the first term of the series = 2 and 
is the radius of convergence = 4.
Then the equation is:
