A multivitamin tablet contains 10.5 mg of calcium. How much calcium does a bottle of 50 tablets contain? Write your answer in gr
2 answers:
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Based on my created polygon, I formed a trapezoid.
I need to use the Pythagorean theorem to solve for the two sides that are the hypotenuse of the right triangles derived from the image.
1st side: distance from -1 to 5 = 6
2nd side: distance from -5 to 12 = 17
3rd side: hypotenuse:
a = -5 to -1 = 4
b = 0 t0 8 = 8
c² = 4² + 8² = 16 + 64 = 80
c = √80 = 8.94
4th side: hypotenuse:
a = 5 to 12 = 7
b = 0 to 8 = 8
c² = 7² + 8² = 49 + 64 = 113
c = √113 = 10.63
Perimeter = 6 + 17 + 8.94 + 10.63 = 42.57 or 42.6 units.
I need to use the Pythagorean theorem to solve for the two sides that are the hypotenuse of the right triangles derived from the image.
1st side: distance from -1 to 5 = 6
2nd side: distance from -5 to 12 = 17
3rd side: hypotenuse:
a = -5 to -1 = 4
b = 0 t0 8 = 8
c² = 4² + 8² = 16 + 64 = 80
c = √80 = 8.94
4th side: hypotenuse:
a = 5 to 12 = 7
b = 0 to 8 = 8
c² = 7² + 8² = 49 + 64 = 113
c = √113 = 10.63
Perimeter = 6 + 17 + 8.94 + 10.63 = 42.57 or 42.6 units.
The dimensions of the rectangular( length and width) are 14m and 15m.
Here we have to find the dimension of the length and width.
Data given:
Fencing = 58m
Area = 210 m²
Let us assume the length be x
By this, we get the width as:
width = 58 - 2x / 2
= 29-x
As the area is 210 m²
The formula to find the area of the rectangular is:
Area = length ×width
210 = x ( 29 -x)
x² - 29 x + 210 = 0
Formula to find the value of x from the quadratic equation:
x = -b ±
For the general equation ax² + bx + c =0
As the equation is:
x² - 29x + 210 = 0
a = -1
b = -29
c = -210
So,
x = 29 ± / 2(-1)
= 29± 1/-2
= 14, 15
29 - x = 15, 14 (for the value of x = 14 and 15 respectively)
Therefore the dimensions are 14m and 15m.
To know more about the rectangular refer to the link given below:
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