Answer:
Step-by-step explanation: Is this grade 9th work?
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:
Rotation
Step-by-step explanation:
Answer/Step-by-step explanation:
a. m<h = x°
Two angles to use in finding x are <h and 55°
Angle pair formed: linear pair angles
b. x° + 55° = 180° (linear pair)
Subtract 55° from each side
x + 55 - 55 = 180 - 55
x = 125°
c. Given: m<n = y°
Two angles to use in solving for y are: <h and <n
Angle pair formed: alternate exterior angles
d. m<n = y° (given)
m<n = x° = 125° (as solved in 2b)
Therefore:
y = x (alternate exterior angles are congruent)
thus:
y = 125° (substitution)
The area of a parallelogram is equal to the base multiplied by the height. Since we can see that this is a parallelogram (because of the two pairs of parallel sides), we now know how to find the area. Since we already know the height and the area, we can substitute their values into the formula to solve for the base.
8 * (the base) = 64
Divide each side by 8 to figure out the length of the base
the base = 8 in.
