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shepuryov [24]
2 years ago
13

Mohan is standing at a distance of 4 units from the origin in the negative direction of the x- axis. His friend Sohan is standin

g at a distance of 7 units from the origin in the negative direction of the y- axis. Find the distance between them
Mathematics
1 answer:
Nataly_w [17]2 years ago
4 0

Answer:

8.06 units

Step-by-step explanation:

To obtain the distance, find the hypotenus using Pythagoras rule :

Hypotenus² = opposite² + adjacent²

Hypotenus² = 4² + 7²

Hypotenus² = 16 + 49

Hypotenus² = 65

Hypotenus = √65

Hypotenus = 8.06

Hypotenus = distance between the two points = 8.06 units

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Answer:

60 degrees Fahrenheit

Step-by-step explanation:

The formula you would need to use:

(20°C × 9/5) + 32 = 68°F

6 0
3 years ago
How to solve this :') please help
blsea [12.9K]

Answer:

3/2

Step-by-step explanation:

sin(3π/4 - β) = sin(3π/4)cosβ - cos(3π/4)sinπ =

\sin(\frac{3\pi}{4}-\beta)=\sin(\frac{3\pi}{4})\cos\beta-\cos\frac{3\pi}{4}\sin\beta\\=\frac{1}{\sqrt{2}}\cos\beta-(-\frac{1}{\sqrt{2}})\sin\beta\\\\=\frac{1}{\sqrt{2}}(\cos\beta +\sin\beta)\\\\\sin^2(\frac{3\pi}{4}-\beta)=\frac{1}{2}\cos\beta +\sin\beta)^2=\frac{1}{2}(\cos^2\beta +\sin^2\beta+2\sin\beta\cos\beta\\=\frac{1}{2}(1+\sin2\beta)=\frac{1}{2}(1-\frac{1}{5}) = \frac{2}{5}\\

Use \cot^2x=\csc^2x-1=\frac{1}{\sin^2x}-1

so

\cot^2(\frac{3\pi}{4}-\beta)=\frac{1}{\sin^2(\frac{3\pi}{4}-\beta)}-1 = \frac{1}{\frac{2}{5}}-1=\frac{5}{2}-1=\frac{3}{2}

7 0
2 years ago
On the fifth orbit, the space shuttle Freedom was as close as 110 miles from Earth and as far away as 180 miles from Earth. By h
Varvara68 [4.7K]

180 - 110 = 70
4 0
3 years ago
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Allisa [31]

Answer:

25%

Step-by-step explanation:

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8 0
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-9/4

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7 0
3 years ago
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