Answer:
180 ft²
Step-by-step explanation:
In order to find the total area to paint, you need to find the surface area of the entire figure, which is the sum of the areas of all the sides. Since there are 5 faces to the prism, including the bottom, you will need to add the area of all five faces. The sides of the ramp are triangles with a base of 12 ft and height of 5ft. The area of a triangle is: A = 1/2bh. Since there are two triangles with the same dimensions:
12 x 5 = 60 ft²
Next, the top of the ramp is a rectangle with a length of 13 ft and width of 4 ft:
13 x 4 = 52 ft²
The bottom of the ramp is also a rectangle with length of 12 ft and width of 4 ft:
12 x 4 = 48 ft²
Lastly, the height of the ramp is 5 ft with a width of 4ft, also in the shape of a rectangle:
5 x 4 = 20 ft²
Add them all together:
20 + 48 + 52 + 60 = 180 ft²
Answer :-
R= 7
Explanation:-
The diameter is 2 times the radius
So the radius is 14/2 =7
Answer:
The cost would be same after 3 months.
Step-by-step explanation:
Given that:
Charges of first company;
Sign up fee = $76
Per month charges = $40
Let,
x be the number of months
y be the total cost.
y = 40x + 76 Eqn 1
Charges of second company;
Sign up fee = $136
Per month charges = $20
y = 20x + 136 Eqn 2
For same cost,
Eqn 1 = Eqn 2
40x + 76 = 20x + 136
40x-20x = 136 - 76
20x = 60
Dividing both sides by 20
Hence,
The cost would be same after 3 months.
To determine the solution of the given equation, we can use the quadratic formula which is expressed as:
x = (-b +/- √b^2 - 4ac ) / 2a
where a, b and c are the coefficients of the equation ( ax^2 + bx + c = 0)
USing the formula above we obtain the values:
x = 21
x = 3/4
Hope this answers the question. Have a nice day.
h=(a)(sinC)=19(sin37)
That means h ≈11.43
Since c<h, There is no triangle
