The area of the rectangular-shaped building is 2448 square feet.
<h3>What is the area of the rectangle?</h3>
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that a rectangular-shaped building that is 34 feet wide and 72 feet long. The area of the rectangle will be calculated as below:-
Area of rectangle = Length x width
Area of rectangle = 34 x 72
Area of rectangle = 2448 square feet
Therefore, the area of the rectangular-shaped building is 2448 square feet.
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Answer: the shortest side is 10 centimeters.
The length of each of the other sides is 10 centimeters each.
Step-by-step explanation:
Let x represent the length of the shortest side of the triangle.
Two sides of the triangle are each twice as long as the shortest side. This means that the length of the two sides would be 2x.
The perimeter of a triangle is the sum of each side of the triangle.
The puzzle piece in the shape of a triangle has perimeter 25 centimeters. This means that
x + 2x + 2x = 25
5x = 25
x = 25/5
x = 5
The length of each of the two sides is
2x = 2 × 5 = 10
Answer:
Up to 10
Step-by-step explanation:
- Cost of fish = $3.99
- Limit of money = $40
- Number of fish = x
<u>Inequality:</u>
- 3.99x ≤ 40
- x ≤ 40/3.99
- x ≤ 10.02
Answer:
The perimeter of triangle PQR is 17 ft
Step-by-step explanation:
Consider the triangles PQR and STU
1. PQ ≅ ST = 4 ft (Given)
2. ∠PQR ≅ ∠STU (Given)
3. QR ≅ TU = 6 ft (Given)
Therefore, the two triangles are congruent by SAS postulate.
Now, from CPCTE, PR = SU. Therefore,

Now, side PR is given by plugging in 3 for 'y'.
PR = 3(3) - 2 = 9 - 2 = 7 ft
Now, perimeter of a triangle PQR is the sum of all of its sides.
Therefore, Perimeter = PQ + QR + PR
= (4 + 6 + 7) ft
= 17 ft
Hence, the perimeter of triangle PQR is 17 ft.
<span>A. cos(x) = cos(-x) [correct, since cos(x) is an even function]
B. Since the cosine function is even, reflection over the x-axis [y-axis] does not change the graph. [false]
C. cos(x) = -cos(x) [ false]
D. The cosine function is odd [even], so it is symmetrical across the origin. [false]</span>