Answer:
1250 m²
Step-by-step explanation:
Let x and y denote the sides of the rectangular research plot.
Thus, area is;
A = xy
Now, we are told that end of the plot already has an erected wall. This means we are left with 3 sides to work with.
Thus, if y is the erected wall, and we are using 100m wire for the remaining sides, it means;
2x + y = 100
Thus, y = 100 - 2x
Since A = xy
We have; A = x(100 - 2x)
A = 100x - 2x²
At maximum area, dA/dx = 0.thus;
dA/dx = 100 - 4x
-4x + 100 = 0
4x = 100
x = 100/4
x = 25
Let's confirm if it is maximum from d²A/dx²
d²A/dx² = -4. This is less than 0 and thus it's maximum.
Let's plug in 25 for x in the area equation;
A_max = 25(100 - 2(25))
A_max = 1250 m²
Hi
5/7 × 11/7 × 5/6 = 55/49 × 5/6 = 275/294
5/7 × 11/7 = (5×11)/(7×7) = 55/49
55/49 × 5/6 = (55×5)/(49×6) = 275/294 (irreducible)
Answer: 275/294
40°, 60° and 80°
sum the parts of the ratio 2 + 3 + 4 = 9
The sum of the angles in a triangle = 180°
Divide 180 by 9 to find one part of the ratio
= 20° ← 1 part of the ratio
2 parts = 2 × 20 = 40°
3 parts = 3 × 20 = 60°
4 parts = 4 × 20 = 80°
The angles in the triangle are 40°, 60° and 80°
Answer:
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Step-by-step explanation:
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Answer:
When a number is written using a whole number plus a portion of one, with the portion separated from the whole number by a dot, is called a <u><em>mixed fraction</em></u>.
Step-by-step explanation:
A fraction is a number that is obtained by dividing an integer into equal parts and is expressed as:

An improper fraction is a fraction in which the numerator, that is, the top number, is greater than or equal to the denominator, that is, the bottom number. In contrast, in proper fractions, the numerator is less than the denominator.
Improper fractions can be represented as mixed fractions. A mixed fraction represents a whole number and a proper fraction, in other words, it corresponds to the sum of a whole part plus a fractional part. In summary, mixed fractions are made up of an integer part and a fractional part.
So, <u><em>when a number is written using a whole number plus a portion of one, with the portion separated from the whole number by a dot, is called a mixed fraction.</em></u>