Judging by the photo, I think it would be 30 degrees:
65 + 85 = 150
180 - 150 = 30 degrees
Answer:
The correct answer is
Step-by-step explanation:
Method 1
We want to simplify,
The double negatives becomes positive,
We now add the whole number parts and the fractions separately
This will give us,
The least common denominator for the fractional parts is 9.
Method 2
We want to simplify,
The double negatives becomes positive,
We first convert the mixed numbers to improper fractions to obtain,
We carry out the multiplication in the numerator to get,
We add in the numerator to get,
The least common denominator is .
We convert back to mixed numbers to get,
Answer:
$150
Step-by-step explanation:
3+10+30+100+7=150$
Enjoy you have lot of money. :-D
Answer:
In the allocated budget of $130 , the business person can travel 462.55 miles a day.
Step-by-step explanation:
The daily rate of car service = $37.49
Cost per mile of the car = 20 cents = $ 0.20
Total allocated budget for each day = $130
Now, out of the total budget :
The actual travelling budget = Total Budget - Daily car rate
= $130 - $37.49
= $92.51
So, the actual travelling budget each day = $92.41
Now,
=
or, the number of miles traveled = 462.55 miles
Hence, in the allocated budget of $130 , the business person can travel 462.55 miles a day.
Answer:
(x – 1)² + (y +2)² = 5
Step-by-step explanation:
recall that the general form of the equation for the circle is as follows:
(x – h)² + (y – k)² = r²
where, (h,k) are the coordinates for the center of the circle and r is the radius of the circle.
We are given that the center of the circle is at (1,-2). Comparing this with the description of h & k above, we can immediately conclude that h = 1 and k = -2.
Hence the only thing we are missing now is radius r.
It is given that the circle passes through the origin, hence if we draw a line between the origin (0,0) and the center (1,-2), this distance is the radius.
to find the distance between 2 points, we use the attached formula
Distance = radius, r = √ [ (1-0)² + (-2-0)²]
r = √ [ (1² + (-2)²]
r = √ [1 + 4] = √ 5
hence we can assemble the equation
(x – 1)² + (y – (-2))² = (√5)²
(x – 1)² + (y +2)² = 5