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Natali5045456 [20]

4 years ago

8

Trigonometry

1 answer:

Alla [95]4 years ago

3 0

90° is equal to $\frac{\pi}{2}$ or 1.5707 radians.

Step-by-step explanation:

Step 1:

If an angle is represented in degrees, it will be of the form x°.

If an angle is represented in radians, it will be of the form $\frac{\pi}{x}$ radians.

To convert degrees to radians, we multiply the degree measure by $\frac{\pi}{180}$ .

For the conversion of degrees to radians,

the degrees in radians = (given value in degrees)( $\frac{\pi}{180}$ ).

Step 2:

To convert 90°,

$90 (\frac{\pi}{180} ) = \frac{\pi}{2}.$

$0.5 \pi = 1.5707$ radians.

So 90° is equal to $\frac{\pi}{2}$ or 1.5707 radians.

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Step-by-step explanation:

4*6=number of floors in 60 second

100-24=floor 76

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What's the largest fraction in eaxh group? a. 5/6 and 29/36 b. 5/12 and 3/8 c.2/5 and 19/45 d.5/7, 13/14, and 19/21

Sever21 [200]

Answer:

a) $\frac{5}{6}$ is greatest fraction.

b) $\frac{5}{12}$ is greatest fraction.

c) $\frac{19}{45}$ is greatest fraction.

d) $\frac{13}{14}$ is greatest fraction.

Solution:

To compare two fraction we need to make denominator of both the fraction same.

a)Given fraction are $\frac{5}{6}$ and $\frac{29}{36}$

$\frac{5}{6}=\frac{5 \times 6}{6 \times 6}=\frac{30}{36}$

So $\frac{30}{36}$ is equivalent to $\frac{5}{6}$

So $\frac{30}{36}>\frac{5}{6}$

Hence $\frac{30}{36}$ that is $\frac{5}{6}$ is greater than $\frac{29}{36}$

b)Given fraction are $\frac{5}{12}$ and $\frac{3}{8}$

$\frac{5}{12}=\frac{5 \times 2}{12 \times 2}=\frac{10}{24}$

Similarly we get $\frac{3}{8}=\frac{3 \times 3}{8 \times 3}=\frac{9}{24}$

So $\frac{10}{24}>\frac{9}{24}$

$\frac{10}{24}>\frac{9}{24}$

That is $\frac{5}{12}>\frac{3}{8}$

Hence $\frac{5}{12}$ is greater than $\frac{3}{8}$

c) Given fraction are $\frac{2}{5}$ and $\frac{19}{45}$

$\frac{2}{5}=\frac{2 \times 9}{5 \times 9}=\frac{18}{45}$

So $\frac{19}{45}>\frac{18}{45}$

That is $\frac{19}{45}>\frac{2}{5}$

Hence $\frac{19}{45}$ is greater than $\frac{2}{5}$

d)Given fraction are $\frac{5}{7}$ , $\frac{13}{14}$ and $\frac{19}{21}$

$\frac{5}{7}=\frac{5 \times 6}{7 \times 6}=\frac{30}{42}$

$\frac{13}{14}=\frac{13 \times 3}{14 \times 3}=\frac{39}{42}$

Similarly we get

$\frac{19}{21}=\frac{19 \times 2}{21 \times 2}=\frac{38}{42}$

So $\frac{39}{42}>\frac{38}{42}>\frac{30}{42}$

That is $\frac{13}{14}>\frac{19}{21}>\frac{5}{7}$

Hence $\frac{13}{14}$ is greatest fraction.

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Question 6 of 10

nadezda [96]

Answer:

Swimmer's velocity = 1.4 m/s west (Approx)

Step-by-step explanation:

Given:

Total time taken = 35 seconds

Total displacement to west = 50 meter

Find:

Swimmer's velocity

Computation:

Swimmer's velocity = Total displacement to west / Total time taken

Swimmer's velocity = 50 / 35

Swimmer's velocity = 1.428

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