Answer:
12.21ft³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, square based pyramid.
Volume of square based pyramid is expressed as
V= a²(h/3)
Given data
Perimeter p = 7.3ft
Height h= 11.1ft
Since the shape has a square base let us solve for the length of each side
Perimeter of square p = a+a+a+a
p= 4a
7.3= 4a
a= 7.3/4
a= 1.83ft
Substituting our given data we have
Volume = 1.83²(11.1/3)
V= 3.3*3.7
V= 12.21ft³
Answer:
4 as a trapezoid, a rectangle, and two squares
Step-by-step explanation:
The diagram below is a composite figure .To determine it area the composite figure can be decomposed into various shapes.
The shapes it can be decomposed are a trapezoid , a rectangle and 2 squares.
The top side of the composite figure forms a trapezoid . A trapezoid is a quadrilateral with one pair of parallel sides. It is also known as trapezium.
The shape below the trapezoid can be cut into a rectangle .A rectangle is a quadrilateral with opposite sides equal in length and are also parallel.
The two shapes formed below the rectangle are squares. Squares are quadrilaterals with all sides equal in length and opposite sides are parallel.
Original coordinates of the points:
A (8,15) ; B (12,13) ; C (8,10)
Dilated scale factor of 3.
A ⇒ 3x = 3(8) = 24 ; 3y = 3(15) = 45 ⇒ A' (24,45)
B ⇒ 3x = 3(12) = 36 ; 3y = 3(13) = 39 ⇒ B' (36, 39)
C ⇒ 3x = 3(8) = 24 ; 3y = 3(10) = 30 ⇒ C' (24, 30)
The given image forms a right triangle. So, I'll get the short leg and long leg of the right triangle to solve for the hypotenuse, length of CB.
Short leg: y value of B and C
Long leg: x value of B and C
a² + b² = c²
9² + 12² = c²
81 + 144 = c²
225 = c²
√225 = √c²
15 = c
The length of CB is 15 units. (option B).
1. I'm not completely sure, but these angles seem to be complementary, meaning they add up to 90°. Since 75° + x = 90°, x = 15°.
2. These lines seem to be parallel. ∠4 ≅ ∠1 because they are vertical angles, ∠5 ≅ ∠1 because they are corresponding angles, and because ∠8 ≅ ∠4 (corresponding angles), ∠8 ≅ ∠1 as well. The final answer is ∠4, ∠5, and ∠8. Hope this helps!
Answer:
Step-by-step explanation:
