The parallel cross-sections of a cylinder, cone, sphere, and pyramid are a circle, a circle, a circle, and a square.
We are given some solids. Solid geometry, or stereometry, is the traditional name for the geometry of three-dimensional Euclidean spaces in mathematics. Stereometry is concerned with measuring the volumes of various solid figures. The given solids are a cylinder, cone, sphere, and pyramid. We need to find the parallel cross-sections of the given solids. Parallel cross sections are cross sections of a solid that are parallel to each other. A cross section is a straight slice of an object. The parallel cross-sections of a cylinder, cone, sphere, and pyramid are a circle, a circle, a circle, and a square.
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Hi there!
We can begin by multiplying by its conjugate:
Simplify using the identity:
Take the square root of the expression:
Multiply again by the conjugate to get a SINGLE term in the denominator:
Simplify:
Use the above trig identity one more:
Cancel out sinA:
Split the fraction into two:
Recall:
Simplify:
Answer:
x=2
Step-by-step explanation:
x+(2x)^2=18
Answer:
B
Step-by-step explanation:
City X = 3 * 10^5 Given
City Y = 6 * 10^6
Times larger
6 * 10^6
3 * 10^5
Do the division
6*10^6/3^10^5 = 60 * 10^5/(3 * 10^5) Note 10^5 will cancel
60/3 = 20 City y is 20 times City x
Population Difference
6,000,000
300,000
5,700,000
Just from the numbers I've given you, A is incorrect. The answer is 20 not 2.
B is the answer
C is wrong. X is 5.7 million less.
D See the answer for C.
Answer:
D
Step-by-step explanation:
The area and the radius of a sphere are related by the formula:
A=4πr^2
Let’s say this is A1 and r1
Now the radius is tripled. This means r2 = 3r1
The new area thus becomes: A = 4 * (3r)^2 * π = 36πr^2
Comparing A1 and A2 , we can see that A2 = 9A1
