angie has 12 feet if string.She will cut the string into equal lengths of 5 inches each.How much string will be left after she c
1 answer:
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Answer:
is the equivalent expression as
is equal to
.
Step-by-step explanation:
Considering the expression
As we know that
- Like terms are said to be the terms which hold the same variables raised to the same power.
- For example,
and
are like terms as they contain the same variable
raised to the same power.
Lets solve the expression
Therefore,
is the equivalent expression as
is equal to
.
Keywords: equivalent expression, like terms
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Answer:
The shortest altitude is 6.72 cm
Step-by-step explanation:
Given that the side lengths are
24 cm, 25 cm, 7 cm
The area of a triangle =
Where;
s = Half the perimeter = (24 + 25 + 7)/2 = 28
A = √((28×(28 - 24)×(28 - 25)×(28 - 7)) = 84 cm²
We note that 84/7 = 12
Therefore, the triangle is a right triangle with hypotenuse = 25, and legs, 24 and 7, the height of the triangle = 7
To find the shortest altitude, we utilize the formula for the area of the triangle A = 1/2 base × Altitude
Altitude = A/(1/2 ×base)
Therefore, the altitude is inversely proportional to the base, and to reduce the altitude, we increase the base as follows;
We set the base to 25 cm to get;
Area of the triangle A = 1/2 × base × Altitude
84 = 1/2 × 25 × Altitude
Altitude = 84/(1/2 × 25) = 6.72 cm
The shortest altitude = 6.72 cm.