What is the value of x in the equation Negative StartFraction 6 over 7 EndFraction = Negative StartFraction x over 84 EndFractio
2 answers:
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Answer: see below
Step-by-step explanation:
30 - 60 - 90 triangles have angles in the triangle measuring 30, 60, and 90 degrees. A 30 - 60 - 90 triangle also has special side ratios according to a side's location in the triangle.
The side across from the 30 degree angle is represented by x.
The side across from the 60 degree angle is represented by x.
The side across from the 90 degree angle is represented by 2x.
45 - 45 - 90 triangles have angles in the triangle measuring 45, 45, and 90 degrees. A 45 - 45 - 90 triangle has special side ratios similar to the 30 - 60 - 90 triangle.
The side across from either of the 45 degree angles is represented by x.
The side across from the 90 degree angle is represented by x.
These ratios can be used to find missing sides. If you know that a triangle is one of these special triangles and you also know one of its side lengths, you can plug the known length in for x in the proper place.
EX: you have a 30 - 60 - 90 triangle with a side length of 2 across from the 30 degree angle. You then know that the side across from 60 is 2 and the side across from 90 is 4.
Answer:
correct option is 2187
Total surface area is 2,185.44 square inches.
lateral surface area is 640.56 square inches
Step-by-step explanation:
Given
radius of cylinder = 12 inches
height of cylinder = 17 inches
we will us value of pi as 3.14
surface area for cylinder consist of two part
1. lateral surface area which is gven by
where r is radius of cylinder and l is height of cylinder
Thus, lateral surface area for given cylinder is
Thus, lateral surface area for given cylinder is 1281.12 square inches.
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second part of surface area is area of two base (upper and lower) of cylinder.
area of base is given by area of circle
This, area of base is for one base of cylinder
since there are 2 base
area of both base will be = 2* area of one base
= 2*452.16 = 904.32.
Thus, area of base is 904.32 sq. in.
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Total surface area of cylinder = area of two base+ lateral surface area of cylinder = 1281.12 square inches + 904.32 square inches
= 2,185.44 square inches.
Thus, total surface area is 2,185.44 square inches.
lateral surface area is 640.56 square inches
but option which is closest to calculated value is 2187.
Thus, correct option is 2187
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Note: this problem can be directly solved using formula
total surface area for cylinder =