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MakcuM [25]
3 years ago
10

The greatest common factor of 24,40 and 56

Mathematics
1 answer:
atroni [7]3 years ago
7 0
The factors of 24 are 1,2,3,4,6,8,12, and 24. The factors of 40 are 1,2,4,5,8,10,20, and 40. The factors of 56 are 1,2,4,7,8,14,28, and 56. 24÷8=3. 40÷8=5. 56÷8=7. Therefore, the GCF of 24,40, and 56 is \boxed{8}
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Alenkasestr [34]

Answer:

Distance between Archimedes and the rock = 7.51 m ≅

Step-by-step explanation:

The sunlight makes an angle of depression of 43 degrees

Hence angle between the rock and the sunlight rays is = 90-43=47 degrees

Distance between Archimedes and the rock = Tan 47 = X/7

X = 7 tan 47 = 7.506580970172 = 7.51m ≅

4 0
3 years ago
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kodGreya [7K]

Answer:

Therefore m_{2} = -3.

Step-by-step explanation:

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ii) to find the slope of the line passing through two points (x_{1}, y_{1}) and (x_{2},y_{2}) we use the formula m = \dfrac{y_{2} - y_{1} }{x_{2}  - x_{1} }. Therefore we can say that  m_{1} = \dfrac{9 - 7}{4 - (-2)} = \dfrac{1}{3}.

iii) let us say the slope of the perpendicular line to the line  passing through (-2,7) and (4,9) is m_{2}

iv) from the formula for the slopes of a line and the line perpendicular to it which is given by m_{1} × m_{2} = -1, therefore m_{2} = -1 ÷  m_{1} = -3. Therefore m_{2} = -3

6 0
3 years ago
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balu736 [363]

Answer:

38.47 {m}^{2}

Step-by-step explanation:

The formula to find the area of a circle is

a= \pi {r}^{2}

We know that

\pi = 3.14 \:  \:  \:  \:  \:  \: r = 3.5

Therefore the area is

a= \pi {r}^{2} \\ \\ a = (3.14) {(3.5)}^{2} \\ \\ a = 3.14 \times 12.25 \\ \\ a = 38.47 {m}^{2}

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2 years ago
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Answer:

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Step-by-step explanation:

3 0
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