Answer:
3279
Step-by-step explanation:
The sum to n terms of a geometric sequence is
=
where a is the first term and r the common ratio
Here a = 2 and r = a₂ ÷ a₁ = 9 ÷ 3 = 3 , then
S₇ = = = 1.5 × 2186 = 3279
V = AH
where A = area of the base, and H = height of the prism
Answer:
23.1604 feet (Pls give Brainliest)
Step-by-step explanation:
Since the angle of elevation is 37 degrees and the side adjacent to it is missing but the hypotenuse is given, you can use cosine. Since the hypotenuse is given, you can set up the equation:
cos 37 = x/29 (Multiply both sides by 29)
29 cos 37 = x (x represents the missing side which is the ground distance to the tree)
x ≈ 23.1604
Answer:
46.125 square feet or sq. feet.
Step-by-step explanation:
The rug is shaped like a parallelogram with a base of feet. and a height of feet.
Now, the area of a parallelogram is given by the product of one side as the base and the perpendicular distance of that side from the opposite parallel side as height.
Now, the area of the given parallelogram is (20.5 × 2.25) = 46.125 square feet. (Answer)
Answer:
110°
Step-by-step explanation:
The path in the inscribed polygon walked by Ellen is shown in the diagram attached. Let the degrees in which Ellen must turn to get back to her starting point be T. Therefore to calculate T we use the theorem "An inscribed quadrilateral whose vertices all lie on a circle, the opposite angles of such a quadrilateral are in fact supplements for each other i.e their sum is 180 degrees."
Therefore: T + 70° = 180°
T = 180° - 70°
T = 110°
To get back to the starting point, Ellen must turn 110°