Answer: We are missing some data here, but it appears to be a right triangle question. Assuming that triangle ABC is a right triangle, the measure of angle B would be about 63.26 degrees.
If you draw a right triangle ABC with the given information, you will see that we have an adjacent side and hypotenuse with regard to angle B.
Therefore, we can write and solve the following cosine ratio.
cos(B) = 9/20
B = 63.26 degrees
Answer:
The hotel at Qakertown charged $5000 before tax while the hotel at Doleystown charged $5,500 before tax
Step-by-step explanation:
In this question, we have a musical band that visited two different towns which hotel charge different amounts at different tax rate. We are now given the total amount in taxes and now asked to calculate what is charged in each of the towns.
Let’s proceed!
Since we do not know the amount charged in each of the towns, let the amount charged at the hotel at Quakertown be $x and the amount charged at the hotel at Doleytown be $y.
Doley charged $500 more then what is charged at Quaker.
Mathematically;
y = 500 + x •••••••••••••••(I)
Let’s now work with the taxes;
Tax rate at Doley is 6% or say 0.06; the amount of tax paid at Doley is thus 0.06y
Tax rate at Quaker is 3% or say 0.03; the amount of tax paid at Quaker is thus 0.03x
Mathematically;
0.06y + 0.03x= 480 •••••••••(ii)
We can substitute i into ii
0.06(500 + x ) + 0.03x = 480
30+ 0.06x + 0.03x = 480
30 + 0.09x = 480
0.09x = 480 - 30
0.09x = 450
x = 450/0.09
x = $5,000
y = 500 + x
y = 500 + $5000 = $5,500
Answer:
option C

Step-by-step explanation:
The point slope equation of a line is given by

Where m is the slope and (x1,y1) is the point on the point

We need to write the equation in y=mx+b form
multiply -2/3 inside the parenthesis

Subtract 7 from both sides

It would be x=0.32169905...0.62169905...
Answer:
The answer is a 2
Step-by-step explanation:
Is a 2 because the point 1 is a 2 line