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3 years ago

15

It takes Ed 45 minutes to complete his science homework. It takes him 2/3 as long to complete his math homework. How long does i

t take Ed to complete his math homework? Write in simplest form (reduce)

2 answers:

valkas [14]3 years ago

8 0

It takes ed 30 minutes to complete his math homework

Mila [183]3 years ago

7 0

45÷3=15 so 2/3 of 45 would be 30 minutes.

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You have a square piece of paper. Where do you cut it to make a regular octagon?

gregori [183]

Cut the 4 corners off and you will have an 8-sided octagon

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3 years ago

Guys I need your help , what is - 16t2 + 64+ + 3?

bija089 [108]

Answer:

the answer is -32t + 67

Step-by-step explanation:

-16t2 +64 + 3

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3 years ago

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padilas [110]

Answer:

252

Step-by-step explanation:

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3 years ago

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

slava [35]

Step-by-step explanation:

1.

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

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

Therefore,

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

2.

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

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

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

2 years ago

Find the constant of variation for the relationship f(x)= 50x.

djyliett [7]

<span>f(x)= 50x
</span><span>y = k x
k is variation
so k= 50
D is the right option
hope it helps
</span>

3 0

2 years ago