What is the surface area of a conical grain storage tank that has a height of 43 meters and a diameter of 14 meters? Round the answer to the nearest square meter. A. 1,100 square meters B. 1,112 square meters C. 2,507 square meters D. 2,605 square meters
2 months ago
Solution 1
2 months ago
We know that
[surface area of the cone]=pi*r²+pi*r*l
where
r is the radius
l is the slant height
l²=h²+r²
h=43 m
r=14/2---> 7 m
l²=43²+7²----> l²=1898--------> l=43.57 m
[surface area of the cone]=pi*7²+pi*7*43.57----> 1111.53 m²----> 1112 m²
the answer is the option
B. 1,112 square meters
[surface area of the cone]=pi*r²+pi*r*l
where
r is the radius
l is the slant height
l²=h²+r²
h=43 m
r=14/2---> 7 m
l²=43²+7²----> l²=1898--------> l=43.57 m
[surface area of the cone]=pi*7²+pi*7*43.57----> 1111.53 m²----> 1112 m²
the answer is the option
B. 1,112 square meters
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Step-by-step solution for: (√2+√10)^2
Solution 1
Note: √a * √a = a
√a * √b = √ab
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= √2(√2 + √10) + √10(√2 + √10)
= √2*√2 + √2*√10 + √10*√2 + √10*√10
= 2 + √20 + √20 + 10
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(√2 + √10)² = (√2 + √10)(√2 + √10)
= √2(√2 + √10) + √10(√2 + √10)
= √2*√2 + √2*√10 + √10*√2 + √10*√10
= 2 + √20 + √20 + 10
= (2 + 10) + (√20 + √20)
= 12 + 2√20
√20 = √(4 *5) = √4 * √5 = 2√5
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Question
If 2x2 – 13x + 20 = (2x – 5)(x – 4), which equation(s) should be solved to find the roots of 2x2 – 13x + 20 = 0? Check all that apply. A. 2x – 5 = 0
B. x + 4 = 0
C. 2x – 5 = x – 4
D. 2x + 5 = 0
E. x – 4 = 0
Solution 1
Answer:
Hence, the correct options are:
A. 2x-5 = 0
and E. x-4 = 0
Step-by-step explanation:
We are given a factorization of a polynomial function as:
The roots of the equation are the possible value of x such that the polynomial function is zero at that point.
i.e. we have to find x such that:
which could also be written as:
Hence, the equation that satisfy this equation is:
Hence, the correct options are:
A. 2x-5 = 0
and E. x-4 = 0
Solution 2
2x^2 – 13x + 20
= (2x – 5)(x – 4)
to find roots of 0 then (2x – 5)(x – 4) = 0
then (2x – 5) = 0 and (x – 4) = 0
answer
A. 2x – 5 = 0
E. x – 4 = 0
= (2x – 5)(x – 4)
to find roots of 0 then (2x – 5)(x – 4) = 0
then (2x – 5) = 0 and (x – 4) = 0
answer
A. 2x – 5 = 0
E. x – 4 = 0
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Solution 1
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×=18
2(x)+7x+9x=
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Solution 1
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the area of the pen is a²------> 3528 m²
the answer Part b) is
3528 m²
Applying the Pythagoras Theorem
c²=a²+b²
in a square
a=b
c is the diagonal-----> 84 m
c²=2a²--------> a²=c²/2-----> a²=84²/2-----> a²=3528-----------> a=√3528 m
the answer part a) is
√3528 m or 59.40 m
the area of the pen is a²------> 3528 m²
the answer Part b) is
3528 m²
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Solution 1
This week, the total = 3 + 4 + 3 = 10 miles
Last week = 8 miles.
The number more = 10 - 8 = 2 miles.
2 miles more.
Last week = 8 miles.
The number more = 10 - 8 = 2 miles.
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answer
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answer
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