The dog house consists of two geometric objects, triangular prism and rectangular prism.
First, find the surface area of triangular prism
The triangular prism consists of
base of triangle (b) = 3 ft
height of triangle (h) = 2.5 ft
height of prism or length of rectangle (l) = 4 ft
side of triangle or width of rectangle (w) = 2.5 ft
Now, calculate the area
area of tp = area of two triangle + area of 2 rectangle
area of tp = (2 × 1/2 × b × h) + (2 × l × w)
area of tp = (2 × 1/2 × 3 × 2) + (2 × 4 × 2.5)
area of tp = 6 + 20
area of tp = 26 ft²
Second, find the surface area of rectangular prism
The rectangular prisms consists of
length (l) = 3 ft
width (w) = 4 ft
height (h) = 2 ft
Now, calculate the area
area of rp = area of back and front rectangle + area of left and right rectangle
area of rp = (2 × l × h) + (2 × w × h)
area of rp = (2 × 3 × 2) + (2 × 4 × 2)
area of rp = 12 + 16
area of rp = 28 ft²
Third, add both of the area
area = area of tp + area of rp
area = 26 + 28
area = 54 ft²
The area of the dog house is 54 ft²
Answer: x= 2.5, y = 10
Step-by-step explanation:
<u><em>I'm going to assume that these photocopies are proportional in relations to each other.</em></u>
If they're proportional, you can set up two proportions:
And cross-multiply:
Then solved for x and y:
Answer:
7 1/30
Step-by-step explanation:
4 1/5 + 2 5/6
Get a common denominator of 30
4 1/4 = 4 1/5*6/6 = 4 6/30
2 5/6 *5/5 = 2 25/30
4 6/30 + 2 25/30
6 31/30
Rewriting
6 30/30 + 1/30
6 + 1 + 1/30
7 1/30
Let's have B stand for burgers, and F stand for fries.
2.05B+0.85F=$19.10 - This equation is set equal to total price.
B+F=14 - This equation is set equal to total number of items.
Subtract the F in the bottom equation.
B=14-F
Put this in place of B in the first equation.
2.05(14-F)+0.85F=19.10
Make sure you distribute the 2.05 properly, over both the 14 and the F.
28.7 - 2.05F+0.85F=19.10
Collect like terms for the F values.
28.7 - 1.2F=19.10
Subtract 28.7 from both sides.
-1.2F=-9.6
Divide by -1.2 on both sides.
F=8
Put this value in place of F in either equation.
B+8=14
B=6
So F=8 and B=6.
The answer is D. The polynomial is irreducible because 12 can’t be squared.
