A butterfly is flying 8 3/4 feet above the ground. It descends at a steady rate to a spot 6 1/4 feet above the ground in 1 2/3 m

Hey there! STEP 1: 1. Simplifying (4x + 3y)² results in (4x - 3y) 1. STEP 2: The equation results in (4x-3y) 1 divided by (16(x²) + 24xy + 9(y²)). STEP 3: Following similar resolutions results in repeating the process of simplification. After completing these steps, we factor and figure that (4x + 3y) is a perfect square, yielding (4x + 3y)². Hence, after numerous simplifications, we achieve that the result concludes to be 4x-3y. I hope this helps!

The company earned 292.5

Answer:

• The sphere has a 32 in. diameter. CORRECT: A sphere's diameter equals twice its radius; therefore, if the radius is 16, then the diameter is 32.
• The radius measures half the diameter's length. CORRECT: According to the definition, the diameter represents the greatest distance across the sphere, and its length is twice the radius since the radius extends from the center to the surface (imagining that distance across the sphere can connect two radii, which create the diameter).
• The sphere's volume (V) can be computed as , where r is the radius. In this instance, the sphere's volume equals , which can also be expressed as .

Let P(3) denote the probability of landing on 3 in a spin, and P(5) denote the probability of landing on 5. In probability terms, "AND" signifies multiplication while "OR" indicates addition. We aim to find the probability that the first number is "3" AND the second number is "5." Thus, we identify the individual probabilities and MULTIPLY them. The spinner has numbers ranging from 1 to 8, each appearing once. Therefore, since there is one instance of "3," we have P(3) = 1/8 and similarly P(5) = 1/8. Consequently, the overall probability of P(3 and 5) is 1/8 multiplied by 1/8, which equals 1/64.

The diagram below illustrates the issue at hand.

Question 1:
The maximum area of the pool equals half the area of the circle.

To calculate the area of the circle: Area = πr², with r being half of the diameter.
Thus, Area of circle = π(60)² = 11309.73355 square feet.

Therefore, the area representing half the circle amounts to 11309.73355/2 = 5654.866... ≈ 5654.87 square feet (rounded to 2 decimal places).

Question b:

To find the pool's area, we take the circle's area and subtract the triangle's area.

The area of the circle is 11309.73 square feet.

For the triangle's area calculation: 1/2 × (60×103.92) = 3117.6 square feet.

The area of the pool thus operates as 11309.73 - 3117.6 = 7922.13 square feet.

Calculating the pool's volume: 7922.13 × 4 = 31688.52 cubic feet.

Note: Information related to the fish tank is unavailable, so the above calculation focuses solely on the entire pool's volume.