Step-by-step explanation:
<u>Given:</u>
- Rule, x + 7.
- Table values.
The rule is telling us to add 7 to the given value of x.
Add 7 to 12.
The missing number is 19.
What is one of the solutions to the following system of equations? y2 + x2 = 53 and y − x = 5
1 answer:
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I believe B. is your answer. If you use the ac method, you will multiply 8 and 3 which is 24. So now, what factors of 24 will give you 10?6 and 4
Now substitute
Now do factorization by grouping.
Therefore, your answer is (4x+3)2x+1)
Now substitute
Now do factorization by grouping.
Therefore, your answer is (4x+3)2x+1)
If we draw the diagonals of the octagonal gazebo, the 4 diagonals divide the octagon into 8 triangles.
Note that each triangle is an isosceles triangle whose equal sides are x, the radius of the circle.
The top angle of each triangle is obtained by dividing the full angle by 8.
So, each top angle =
= 45°
Now, in fig., consider one of the triangles Δ OAB. Draw an altitude OC from O to the opposite side AB.
This altitude OC bisects the top angle 45°.
Therefore, ∠ AOC = 22.5°.
Now, in Δ AOC,
So, AC = x sin 22.5°
Note that, AB = 2 AC.
Therefore, AB = 2x sin 22.5°.
Also,
So, OC = x cos 22.5°.
Area of Δ AOB =
= × (2x sin 22.5°) × (x cos 22.5°)
= (2 sin 22.5° cos 22.5°)
= sin 45°
= /
Area of the octagonal gazebo = 8 × one triangular area
= 8 × ( /
)
Area required for mulch = circular area - area of the gazebo
Now, cost per unit area = $1.50.
Hence, total cost g(m) = area × cost per unit area
Total cost g(m) = × 1.5
Hence, total cost g(m) = .
