The surface area of the smaller solid is found to be 214 square meters.
<h3>What is Surface area?</h3>
The surface area is given as the sum of the area of all the faces of a three-dimensional object.
The same shape has equivalent ratio of the surface area to volume. It is given as:
![\rm \dfrac{\sqrt{area_1}}{\sqrt{area_2}}=\dfrac{\sqrt[3]{Volume_1} }{\sqrt[3]{Volume_2} }](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7B%5Csqrt%7Barea_1%7D%7D%7B%5Csqrt%7Barea_2%7D%7D%3D%5Cdfrac%7B%5Csqrt%5B3%5D%7BVolume_1%7D%20%7D%7B%5Csqrt%5B3%5D%7BVolume_2%7D%20%7D)
On considering the power of 6 at both the sides of the equation:
Considering area 1 and volume 1 for the larger solid, and area 2 and volume 2 for the smaller solid, substituting the values give:
By solving the above equation, the area of the smaller solid is found as 214 square meters. Thus, option B is correct.
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<h2>1. Right answer: Observational
</h2>
Kepler formulated the three laws of planetary motion <u>from observations made by</u> the Danish astronomer <u>Tycho Brahe of the orbit of Mars.
</u>
These laws were enunciated to mathematically describe the movement of the planets in their orbits around the Sun. However, the scientific resources existing in his time did not allow him to prove these laws. It was Newton who did it after having developed the Differential and Integral Calculus and formulating the Laws of Universal Gravitation.
<h2>2. Right answer: Aristotelian
</h2>
Aristotle mistakenly thought that the Earth was the center of the universe, thus establishing a <u>geocentric cosmological model.
</u>
According to this model, Aristotle proposed that the universe (the cosmos) was spherical and finite, with the Earth immobile at its center, composed of the four fundamental elements (made up of spherical layers): ground, water, air and fire; and the Sun along with the fixed planets in their respective concentric spheres revolving around the Earth. The outermost sphere being that of the stars and all these external elements being made of a fifth element which he called ether.
Answer
Jaime is preparing for a bicycle race. His goal is to bicycle an average of at least 280 miles per week for 4 weeks. He bicycled 240 miles the first week, 310 miles the second week, and 320 miles the third week. Which inequality can be used to represent the number of miles, x, Jaime could bicycle on the 4th week to meet his goal?
Solution
Jaime’s goal is to average at least 280 miles per week for 4 weeks. If T is the total number of miles Jamie will bicycle for 4 weeks, then his goal can be represented symbolically by the inequality:T⁄4, or equivalently T ≥ 4(280). The total number of miles Jamie will bicycle during this time is the sum of the distances he has completed and has yet to complete. Thus T = 240 + 310 + 320 + x. Substituting this expression into the inequality T ≥ 4(280) gives 240 + 310 + 320 + x ≥ 4(280). Therefore, choice D is the correct answer.
Choices A, B, and C are incorrect because they do not correctly capture the relationships between the total number of miles Jaime will ride his bicycle (240 + 310 + 320 + x) and the minimum number of miles he is attempting to bicycle for the four weeks (280 + 280 + 280 + 280).
Answer:
Are the available choices in my nutritional goals
Explanation:
Smart food decisions are required for maintaining your body healthy especially when your following a diet and have a goal.
It can be predicted that the light beam will follow a stream of water as it flows out of a bottle.
<h3>How does light follow water?</h3>
When a light beam passes from the medium of water, then it reflects and change its direction due to become slow compare to air.
In the air and water the light travels from the stream of water, but the difference is that in water it bends, and the speed slows down. This stream of water is act similar to the optical fiber.
Hence, it can be predicted that the light beam will follow a stream of water as it flows out of a bottle.
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