Answer:
21.43 miles
Step-by-step explanation:
Let
x ---> the number of miles
y ---> the total cost of rent a car per day
we know that
The linear equation in slope intercept form is equal to
where
m is the slope
b is the y-intercept
we have
<em>sunshine rental company</em>
The slope is equal to
The y-intercept is equal to
substitute
----> equation A
<em> rent me company</em>
The slope is equal to
The y-intercept is equal to
substitute
----> equation B
equate equation A and equation B
solve for x
The surface area will be equal to option B which is 1008 square centimeters.
<h3>What is surface area?</h3>
The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
The surface area of the prism will be calculated as:-
SA = area of the three rectangular faces + area of the triangular faces
Area of the rectangular faces = ( 15 X 25 ) + ( 25 X 12 ) + ( 25 X 9 )
= 375 + 300 + 225
= 900 square cm
Area of the triangular 
= 
= √2916
= 64
Total area of the rectangular face = 2 x 54 = 108
So the total SA area of the prism will be = 900 + 108= 1008 square cm.
Therefore surface area will be equal to option B which is 1008 square centimeters.
To know more about a surface area follow
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Answer:
9.5 cubic units
Step-by-step explanation:
You need to multiply everything together and divide by 2.
5 x 2 x 1.9/2 = v
19/2 = v
9.5 cubic units
Answer:
T = 18x + 25
Step-by-step explanation:
Let T = total amount in $
x amount of tents at $10 each (10x)
same amount of tables for $8 each (+8x)
one clown for $25 (+25)
so T = 10x + 8x + 25
T = 18x + 25
Answer:
- high tide occurs at 12 noon and 12 midnight
- Low tide occurs at 6 a.m and 6 p.m
- maximum depth value = 20 ft
- Minimum depth value = 15 ft
Step-by-step explanation:
The depth is modelled as;
y = 20 + 5 cos (πt/6)
We are told that t = 0 represents 12:00 midnight.
This is high tide because at t = 0, the cos function will be at it's maximum value of 1 since cos 0 = 1.
Max depth value is;
y = 20 + 5(0)
y = 20 ft
Minimum depth value will be the low tide and it will be when the cos function is equal to -1.
Thus;
y = 20 + 5(-1)
y = 15 ft
Since t represents number of hours and since at 12 midnight, t = 0, thus; high tide will occur again at;
12 noon
Also, let's check for low tide.
Let's try t = 6 which means 6 a.m
Thus;
y = 20 + 5 cos (π(6)/6)
y = 20 + 5 cos π
Cos π has a value of -1
Thus;
y = 20 + 5(-1)
y = 20 - 5
y = 15 ft
Thus;
Low tide occurs at 6 a.m and 6 p.m
