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3 years ago

A rectangular area is roped off using a rope 200 m in length. Calculate the area of the rectangle if it is 65 m long.

Mathematics

1 answer:

Sonja [21]3 years ago

7 0

Answer:

13,000 m

Step-by-step explanation:

The formula for the area of a rectangle is length times width

200 * 65 = 13,000

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(True or false)car traveling 20 meters per hour east of the mountain pass is example of velocity

stiv31 [10]

I believe the answer is True

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3 years ago

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1. if csc β = 7/3 and cot β = - 2√10 / 3, Find sec β

slava [35]

Step-by-step explanation:

$\tan \beta = \frac{1}{ \cot \beta } = - \frac{3}{2 \sqrt{10} } = - \frac{3 \sqrt{10} }{20}$

$\csc \beta \tan \beta = \frac{1}{ \cos \beta } = \sec \beta$

Therefore,

$\sec \beta = ( \frac{7}{3} )( - \frac{3 \sqrt{10} }{20} ) = - \frac{7 \sqrt{10} }{20}$

$\csc y = \frac{1}{ \sin y} = - \frac{ \sqrt{6} }{2}$

$= > \sin y = - \frac{ \sqrt{6} }{3}$

Use the identity

$\cos y = \sqrt{1 - \sin ^{2} y} \: \: \: \: \: \: \: \: \: \: \: \\ = \sqrt{1 - {( - \frac{ \sqrt{6} }{3}) }^{2} } = - \frac{ \sqrt{3} }{3}$

We chose the negative value of the cosine because of the condition where cot y > 0. Otherwise, choosing the positive root will yield a negative cotangent value. Now that we know the sine and cosine of y, we can now solve for the tangent:

$\tan \beta = \frac{ \sin y}{ \cos y} =( - \frac{ \sqrt{6} }{3} )( - \frac{3}{ \sqrt{3} } ) = \sqrt{2}$

3. Recall that sec x = 1/cos x, therefore cos x = 5/6. Solving for sin x,

$\sin x = \sqrt{1 - \cos ^{2} x} = \sqrt{ \frac{11}{6} }$

Solving for tan x:

$\tan x = \frac{ \sin x}{ \cos x} = (\frac{ \sqrt{11} }{ \sqrt{6} } )( \frac{6}{5} ) = \frac{ \sqrt{66} }{5}$

5 0

3 years ago

Due very soon so if someone could answer soon-ish it would be very helpful and much appreciated <3<3<3

scoundrel [369]

The answer is 1 i did this before and hope this helps

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3 years ago

Divide 1/2 and 3/4 and it can not be a mixed number.

mamaluj [8]

Answer:

Many options - 4/6 or 2/3 or 0.66

Step-by-step explanation:

When dividing fractions, we use KCF (keep, change, flip) so our new equation is 1/2 x 4/3. Just multiply! Your answer should be 4/6, and if it needs to be simplified, the answer is 2/3. The answer as a decimal is 0.66 !

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3 years ago

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Solve for 3a:<br> 4a − 2 = a + 4<br> 3a =

ziro4ka [17]

4a-2=a+4
+2 to both sides
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-a from both sides
3a=6

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3 years ago