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3 years ago

During a sales trip, Mr. Jones drove

Mathematics

2 answers:

nikklg [1K]3 years ago

8 0

Hello There!

<h2>EQUATION 15+M=35</h2><h2></h2><h2>M = 20 MILES</h2>

WARRIOR [948]3 years ago

7 0

During a sales trip, Mr. Jones drove
15 miles east from Brownsville to
Carlton. Then he drove several more
miles east from Carlton to Sun City.
The distance from Brownsville to Sun
City is 35 miles. Write and solve an
addition equation to find how many
miles it is from Carlton to Sun City.

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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:

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

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3 years ago

Determine if the two triangles are congruent

8090 [49]

They are not congruent. Hope this helped!

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2 years ago

Please help!

Hunter-Best [27]

Answer:

There is a 1/8 chance.

If there are 4 cards in the deck, and one three card, it makes it a 1/4 chance of picking the card the first time.

The probability stays the second time you pull out a card.

So, you would do the equation 1/4 * 1/4, which is 1/8. That is the answer.

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3 years ago

If there are twenty-eight 8 ounce servings in a 20 pound watermelon, how many pounds does the rind weighs? Explain

Paladinen [302]

28x8. 20divided by a.

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3 years ago

a salt truck drops 39 kilograms of salt per minute. how many grams of salt does the truck drop per second

PilotLPTM [1.2K]

Multiply by 1 minute/60 seconds

the minutes cancel out and youre left with 0.65 kilograms per second

you then multiply by 1000 grams/1 kilogram

the kilograms cancel out and youre left with 650 grams per second

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2 years ago

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