3. Liam has a rectangular back
1 answer:
Answer:
Length of the other side of the backyard is 80.4 feet.
Step-by-step explanation:
Let the dimensions of the Liam's rectangular backyard = 85 feet × a feet
Diagonal of the rectangle, AD = 117 feet
When we apply Pythagoras theorem in ΔABD,
AD² = AB² + BD²
(117)² = (85)² + BD²
a² = 13689 - 7225
a = √6464
= 80.399 feet
a ≈ 80.4 feet
Therefore, length of the other side of the backyard is 80.4 feet.
You might be interested in
Answer:
1.75 meters² or 175 centimeters²
Step-by-step explanation:
Step 1: Find Area of the Base.
- Base is a square with dimensions of 7cm by 7cm
- 49 cm²
Step 2: Find the Area of the Triangles.
- Each triangle has a base of 7cm and a height of 9cm.
- 7 x 9 = 63, and 63/2 = 31.5
- 31.5 x 4 = 126 cm²
Step 3: Add the areas together.
- 175 cm²
Thus, the surface area is 1.75 m^2 or 175 cm^2.
The geometric sequence is
Explanation:
Given that the first term of the geometric sequence is 15
The fifth term of the sequence is
We need to find the 2nd, 3rd and 4th term of the geometric sequence.
To find these terms, we need to know the common difference.
The common difference can be determined using the formula,
where and
For , we have,
Simplifying, we have,
Thus, the common difference is
Now, we shall find the 2nd, 3rd and 4th terms by substituting in the formula
For
Thus, the 2nd term of the sequence is 9
For , we have,
Thus, the 3rd term of the sequence is
For , we have,
Thus, the 4th term of the sequence is
Therefore, the geometric sequence is