Answer: an = a1 + d(n-1) or an = 24 + 6(n-1)
Step-by-step explanation:
Answer:
(3, 3 )
Step-by-step explanation:
Given the 2 equations
3x - y = 6 → (1)
6x + y = 21 → (2)
Adding the 2 equations term by term will eliminate y, that is
(6x + 3x) + (y - y) = (21 + 6), that is
9x = 27 (divide both sides by 9 )
x = 3
Substitute x = 3 into either (1) or (2) and solve for y
Using (2), then
(6 × 3) + y = 21
18 + y = 21 ( subtract 18 from both sides )
y = 3
Solution is (3, 3 )
Given that the net of the square pyramid is as shown above, the surface are of the pyramid will be given by:
SA=(number of triangles)*(area of triangle)*(area of square base)
area of one triangle will be:
A=1/2*base*height
A=1/2*0.8*0.75
A=0.3 sq. inches
area of the square base will be:
A=0.75*0.75
A=0.5625
Therefore the surface area will be:
SA=4*0.3*0.5625
SA=0.675 sq. inches
Answer: 54 feet
Step-by-step explanation: if the area of each triangle is 3 feet by 3 feet then the area of one triangle is 9 feet. If you need six then all you have to do is multiply 9 by 6 and that gives you 54 feet.
Answer:
D.
Step-by-step explanation:
According to converse of the Pythagorean Theorem, that if the square of the third side (longest side) of a triangle equals the sum of the other two shorter sides, therefore, the triangle formed must be a right triangle.
From the side lengths given, the following satisfies the Pythagorean triple:
5² + 12² = 13².
Therefore, the procedure to use to confirm the converse of the Pythagorean Theorem would be to draw the two shortest side, 5 cm and 12 cm, so that a right angle will be between them. The side measuring 13 cm should therefore fit in to form a right triangle.
