Answer:
15 feet tall hope this helps
Step-by-step explanation:
Answer:
The angle measures 25°; the complement measures 65°; the supplement measures 155°.
Step-by-step explanation:
The sum of the measures of two complementary angles is 90.
If the angles measure x and y, then x + y = 90.
Given angle x, then y = 90 - x.
The sum of the measures of two supplementary angles is 180.
If the angles measure x and y, then x + y = 180.
Given angle x, then y = 180 - x.
Let the angle be x.
Its complement is 90 - x.
Its supplement is 180 - x.
5(90 - x) = 2(180 - x) + 15
450 - 5x = 360 - 2x + 15
-3x = -75
Angle: x = 25
Complement: 90 - x = 90 - 25 = 65
Supplement: 180 - x = 180 - 25 = 155
Answer: The angle measures 25°.;, the complement measures 65°; the supplement measures 155°.
Given:
The increase in pressure P is the linear function of the depth d.
The cost of dinner is $300 and $10 per students.
To find:
The initial value and rate of change and their interpretation.
Find the cost function C where n is the number of students.
Solution:
The slope intercept form of a linear function is
...(i)
where, m is rate of change and b is y-intercept or initial value.
We have,
...(ii)
From (i) and (ii), we get
The initial value is 14.7. It means, the pressure at sea level is 14.7 pounds psi.
Rate of change is 0.445. It means, the pressure is increasing by 0.445 pounds psi for every feet.
The cost of dinner is $300 and $10 per students.
Let C(n) be the total cost for dinner and n be the number of students.
Fixed cost = $300
Additional cost for 1 student = $10
Additional cost for n student = $10n
Now,
Total cost = Fixed cost + Additional cost
Therefore, the required cost function is .
Hi there! The third option shows us the best setup.
We can find the area of a triangle with the standard formula area = 1/2 * base * height.
To be able to fill in this formula, we need to have a base and a height. We can't easily find a triangle with given base and height, so we must look for another option.
We can also take the area of a square (length × width) and then divide the answer by 2. This is possible when we take the third setup. Hence the third answer is correct.
