Answer:
Step-by-step explanation:
Portrait is in the shape of a rectangle.
And the area of a rectangle = Length × Width
Let the length of the portrait = l
And width of the portrait = w
Area of the portrait = lw
lw = 40
l = 
Perimeter of a rectangle = 2(Length + width)
Perimeter of the portrait = 2(l + w)
26 = 2(l + w)
l + w = 13 ----------(2)
By substituting the value of 'l' in equation (1) from equation (2)
40 + w² = 13w
w² - 13w + 40 = 0
w² - 8w - 5w + 40 = 0
w(w - 8) - 5(w - 8) = 0
(w - 5)(w - 8) = 0
w = 5, 8 feet
From equation (2)
l = 8, 5 feet
Therefore, dimensions of the portrait are (5 feet by 8 feet) Or (8 feet by 5 feet).
Answer:
What is the first part of the question? Can you put it in the comments?
Step-by-step explanation:
If the number on top is bigger than the number on the bottom then it is more than one. if the number on the top is smaller then the number on the bottom then it is less than one. if the bottom and top number are the same then it is 1.
Answer: There are 4 possibilities. They are all listed below with their percents.
You can create a tree diagram to shows all of the possibilities. It will start with 2 branches and then each of those branches will have 2 branches.
The possibilities are: UU, UD, DU, DD
To find the probabilities of each, you have to multiply the percent for each together.
UU = 0.66 x 0.66 = 0.4356
UD = 0.66 x 0.34 = 0.2244
DU = 0.34 x 0.66 = 0.2244
DD = 0.34 x 0.34 = 0.1156
Answer:
56√93 ≈ 540 ft²
Step-by-step explanation:
The roof is made up of 4 congruent isosceles triangles. Since the roof extends 2 ft over the edge of the cottage on each side, then the base of each triangle is 26 + 2 = 28 ft.
Let's calculate the area of one of the triangles and then just multiply by 4. See attachment. Drop a perpendicular from the vertex of a triangle to its base. We now have the triangle broken up into two right triangles. The hypotenuse is 17 ft and one of the legs of the right triangle is 28 / 2 = 14 ft. Then the height / other leg is:
We now have the dimensions of each triangle: the height is √93 and the base is 28. The area of a triangle is: A = (1/2) * b * h, so we have the following.
A = (1/2) * b * h
A = (1/2) * 28 * √93 = 14√93
Multiply this by 4:
14√93 * 4 = 56√93
The total surface area is 56√93 ≈ 540 ft².
