The position of a digit in a number that determines its value
1 answer:
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The length of BC is 4.674 m
<u>Explanation:</u>
Given:
Angle A = angle B = 90°
AD = 2.1 m
AB = 1.9 m
CD= 3.2 m
An image is inserted for the reference
According to the figure,
a is the base
b is the height
c is the hypotenuse
Using pythagoras theorm:
a² + b² = c²
a² + (1.9)² = (3.2)²
a² + 3.61 = 10.24
a² = 6.63
a = 2.574
BC = 2.1 + 2.574
BC = 4.674m
Therefore, the length of BC is 4.674 m
<h3>If the divisor is 4 and the quotient is 8, Then, dividend is 32</h3>
<em><u>Solution:</u></em>
Given that,
Divisor = 4
Quotient = 8
To find: dividend
We know that,
Therefore,
Thus, dividend is 32
A cube has all sides of equal length.
So let the side be x
that will be length = width = height = x
Now, when we cut the loaf into 5 equal slices, the length and height of the slices are the same as the original loaf. But the width will become less with each slicing. Here the width corresponds to the thickness of the slices.
For each slice the dimensions are -
Length = x
height = x
width = 0.6
Volume of the original loaf is x³.
Volume of 5 slices is 5(x * x * 0.6).
Volume that is left after the cutting the slices is 235 inch³.
So, equation of the volume is=
x³ - 5(0.6x²) = 235
Solve for x using this equation.
x³ - 3x² = 235
x³ - 3x² - 235 = 0
Using a graph calculator to find the roots, we get
x = 7.35
Hence the dimensions of the original loaf is 7.35 inches for each side.
Please find attached the graph.
