Answer:
SA = 1,176 ft².
Step-by-step explanation:
To find the surface area of the triangular prism, we can solve for the rectangular base, both triangular faces, and lateral sides separately.
For the rectangular base: (Use formula l×w)
20 × 18 = 360 ft²
For the triangular faces: (Use formula 1/2(b·h)
1/2(18 × 12) = 108 ft²
Since there are two faces, we need to double the amount.
108 × 2 = 216 ft².
Finally, solve for the lateral sides:
20 × 15 = 300 ft².
There are two sides, so:
300 × 2 = 600 ft².
Add up all of these areas:
600 + 216 + 360 = 1,176 ft²
Answer:
area of a deck
A= External area - Internal area
A = length x width
A = ( 44ft x 28ft) - ( 32ft x 16ft)
<u> A = 720ft²</u>
Answer:
2xy
Step-by-step explanation:
Here, we want to obtain the number with the smallest square
To get this, we simply find the nearest number square which is 2
The nearest x squared which is x (to get x^4)
The nearest y squared which is y (to get y^2)
Thus, the smallest number so we get a square will be; 2xy
Answer:
1) Slope-intercept form
2) 9200
3) 2 months
4) (0,200)
Step-by-step explanation:
A shelter had 200 animals in foster homes at the beginning of spring and the number of animals in foster homes at the end of the summer could be represented by
y=3000x+200 ............ (1)
Where x is the number of months and y is the number of animals.
1) The equation (1) is written in the slope-intercept form of a straight line equation.
2) After 3 months means x = 3 and the number of animals in the foster home after 3 months will be (3000 ×3 + 200) = 9200 (Answer)
3) Let after x months the animal population will become 6200.
So, 6200 = 3000x + 200
⇒ 3000x = 6000
⇒ x = 2 months (Answer)
4) If we put x = 0 in equation (1), then we get y = 200.
So, (0,200) is a point on the graph of the line. (Answer)