Answer:
20
Step-by-step explanation:
Since we have given that
Dimensions of a triangle he has to use for fencing are
15 feet, 8 feet, and 20 feet.
1) For making it a right triangle it must satisfy the "Pythagoras theorem" which states that
No, it will not be able to make a right triangle.
2) Joel cut the longest piece of wood in order to make a right triangle.
So, from above we get that
So, the longest side must be 17 feet.
It takes him 30 seconds to install each foot of fencing,
The total perimeter of fencing will be
17 + 15 + 8 = 40 feet
So, for 1 foot he needs = 30 seconds
For 40 feet, he will need
40 × 30 = 1,200 seconds
1200/600 = 20 minutes
Hence, he needs 20 minutes to install all of the fences.
Answer
3:6=7:14
Step-by-step explanation:
pls make me branliest
Answer:
If each of three people are given three-tenth of an apple shared, what fraction of the apple was received by the three people?
9/10
Explanation:
The given multiplication is 3 x 3/10
The word problem that can result to the mathematical expression 3 x 3/10 is:
<em>If each of three people are given three-tenth of an apple shared, what fraction of the apple was received by the three people?</em>
Since each of the people get 3/10 of the apple
The three people received a total share of 3 x 3/10 = 9/10r
Answer:
1.81 inches
Step-by-step explanation:
We are told that the sheet of metal to be used measures 12 inches by 10 inches.
Squares of equal sides x are cut out of each corner. Thus, it means total of 2x is cut of the 12 inches side and 10 inches side.
Thus;
Length; L = 12 - 2x
Width; W = 10 - 2x
Height; H = x
Volume of the box is;
V = LWH
V = (12 - 2x)(10 - 2x)x
Factorizing out, we have;
V = 4x[(6 - x)(5 - x)]
Equating V to zero, we can find the domain of the function;
At V = 0,
4x = 0; 6 - x = 0 ; 5 - x = 0
x = 0, x = 6, x = 5
The dimensions have to be positive. Thus;
0 ≤ x ≤ 5
Expanding the volume equation;
V = 4x[30 - 5x - 6x + x²]
V = 4x[30 - 11x + x²]
V = 4x³ - 44x² + 120x
dV/dx = 12x² - 88x + 120
Equating to zero to find the value of x that makes volume maximum;
12x² - 88x + 120 = 0
Using quadratic formula gives;
x = 1.81 or 5.52
From our domain, we have 0 ≤ x ≤ 5.
1.81 falls within the domain and therefore we will pick it as the height that makes the volume maximum.
