What is 374.4 rounded to the nearest tenth. Hurry please appreciate ☺️ my brain is fried
374.4 rounded to the nearest tenth is 374.4. There is no change in value when rounding to the nearest tenth.
A park in a subdivision has a triangular shape.
2 adjacent side of the park or 533 feet in 525 feet.
The angle between a sides is 53 degrees.
Find the area of the park to the nearest.
To find the area of a triangle, we need the length of at least one base and the corresponding height. We can use the given angle of 53 degrees to find the height:
sin(53) = height / 525
height = sin(53) * 525
height ≈ 426.4 feet (rounded to the nearest tenth)
Now we can find the area of the triangle:
area = (1/2) * base * height
area = (1/2) * 533 * 426.4
area ≈ 113,659.2 square feet (rounded to the nearest tenth)
Therefore, the area of the park to the nearest tenth is 113,659.2 square feet.
What is the approximate radius of a sphere whose volume is 1,349 cm3.
Full steps please
Need to study for test
The formula for the volume of a sphere is:
V = (4/3) * π * r^3
where V is the volume, r is the radius, and π is the constant pi (approximately equal to 3.14). We can rearrange this formula to solve for the radius:
r^3 = (3V) / (4π)
r = (3V / 4π)^(1/3)
Now we can substitute the given volume of 1,349 cm^3 into the formula:
r = (3(1349) / (4π))^(1/3)
r ≈ 6.9 cm (rounded to the nearest tenth)
Therefore, the approximate radius of the sphere is 6.9 cm.
To reduce the cost of our design, do we want a cereal box with a small surface area or a large surface area?
To reduce the cost of a cereal box, we would want a box with a small surface area. The amount of material needed to produce a box is directly proportional to its surface area. A box with a larger surface area would require more material to be produced, and therefore would cost more than a box with a smaller surface area. Therefore, a smaller surface area would reduce the cost of the cereal box.
Plug in 192 as the volume to find the radius.
Use the formula V = 4/3 πr³
We can rearrange the formula for the volume of a sphere to solve for the radius:
V = (4/3) * π * r^3
r^3 = (3V) / (4π)
r = (3V / 4π)^(1/3)
Now we can substitute the given volume of 192 into the formula:
r = (3(192) / (4π))^(1/3)
r ≈ 3.02 (rounded to the nearest hundredth)
Therefore, the radius of the sphere with a volume of 192 is approximately 3.02 units.