Guanglei works in urban landscaping design. A delivery truck arrived, pouring a cone-shaped pile of gravel 6 feet high with a di
1 answer:
Answer:
105.57 cubic feet.
Step-by-step explanation:
A delivery truck arrived in the construction site and pouring a cone-shaped pile of gravel 6 feet high with a diameter at the base of 8.2 feet.
Therefore, the volume of the cone shaped pile is , where r =
feet and h = 6 feet.
Hence, V = cubic feet.
So, 105.57 cubic feet of gravel was delivered. (Answer)
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Applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.
<h3>What is the Tangent Ratio?</h3>Where we are given a right triangle, the tangent ratio is determined using the formula, tan ∅ = opposite side/adjacent side.
The diagram atatched beow whos the distance across the suspension bridge which consists of 6 identical right triangles.
Find the adjacent side of each right triangle using the tangent ratio:
∅ = 32
Opposite side = 52 ft
Adjacent side = x
Plug in the values into the tangent ratio:
tan 32 = 52/x
x = 52/tan 32
x = 83.2 ft.
Distance across the suspension bridge = 6(83.2) = 499.2 ft.
Therefore, applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.
Learn more about the tangent ratio on:
Answer:
The mass of the ice block is 2116 grams ⇒ a
Step-by-step explanation:
The formula of density is , where m is the mass and V is the volume
To find the mass from this formula multiply both sides by V,
then m = p.V
∵ The density of ice is approximately 0.92 g/cm³
∴ p = 0.92
- That means the mass of 1 cm³ is 0.92 g
∵ The volume of an ice block is 2300 cm³
∴ V = 2300
- Use the formula of the mass
∵ m = p.V
- Substitute the values of p and V in it
∴ m = (0.92)(2300)
∴ m = 2116 grams
The mass of the ice block is 2116 grams