Tyler is building a fish tank in the shape of a sphere that has a diameter of 14 inches. Based on Tyler's research, it is recomm
2 answers:
Answer:
Tyler should buy 2 goldfishes for his fish tank,
Step-by-step explanation:
First let's find the volume of the sphere, using the following equation:
The radius is half the diameter, so the radius is 14/2 = 7 inches
Now, finding the volume, we have:
Now, we know that we need to have 1 goldfish for every 693 in3 of water, so to find the number of goldfishes, we just need to divide the volume of the sphere by 693 (and round down the result if needed):
Tyler should buy 2 goldfishes for his fish tank,
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Answer:
Step-by-step explanation:
For a triangle the area is
If our triangle is isosceles and the 2 congruent sides each measure 4 and they include an angle of 40 degrees, let's say that the vertex angle is 40 and the sides that are not the base each measure 4. If we drop an altitude from the vertex to the base, we cut the triangle into 2 right triangles, with the vertex angle being 20 degrees and the hypotenuse being 4. To find the base, then, which is opposite the angle, we use the sin ratio:
and
4sin(20) = b so
b = 1.368
But we need the whole base, and that is only half of it. So
2b = 2.736
To find the height, which is adjacent to the angle, we use the cos ratio:
and
4cos(20) = h so
h = 3.759
Now we have enough info to find the area of the triangle using the triangle area formula from above:
and
A = 5 meters squared.
Answer:
$74,600
Step-by-step explanation:
-Given the probability is 2.5%, mean=$55,000 and standard deviation= $10,000
-We find the z value of 2.5%
Hence, the minimum amount of income to be in the top 2.5% is $74,600