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Anastaziya [24]

3 years ago

11

Swanson plans to attempt to swim across the lake from point A to point B as shown below. To determine how far he will have to sw

im, he has chosen a point C and calculated the labeled data.
How many miles will he have to swim? Round your answer to two decimal places.

1 answer:

Ipatiy [6.2K]3 years ago

3 0

Answer:

2.38 miles

Step-by-step explanation:

From Given diagram:

In ΔABC,

AC=2.5 miles

BC= 3.7 miles

∠BCA= 39.4°

Now as we have two sides and an angle, using law of cosines to find the third side:

c= √(a^2+b^2-2abcosα

AB=√(AC)^2 + (BC)^2 - 2(AC)(BC)cosα

=√(2.5)^2 + (3.7)^2 - 2(2.5)(3.7)cos(39.4°)

=√(2.5)^2 + (3.7)^2 - 2(2.5)(3.7)(0.77)

=√(5.695)

= 2.38 !

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Jane is having difficulty deciding whether to put her savings in the Mystic Bank or in the Four Rivers Bank. Mystic offers a 12%

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The answer to this question would be <span>B. Mystic
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Answer: =2084

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3 years ago

Read 2 more answers

You decide to enter in a rowing competition. To train, you go to the boat house and begin rolling down stream. You row for the s

fredd [130]

Answer:

Time spent rowing down stream $=100\ seconds$

Speed of boat in still water $=14\ ms^{-1}$

Step-by-step explanation:

Let speed of boat in still water be $= x\ ms^{-1}$

Speed of current $= 10\ ms^{-1}$

Speed of boat down stream = $\textrm{Speed of boat in still water +Speed of current}= (x+10)\ ms^{-1}$

Distance rowed down stream = 2400 m

Time spent rowing down stream = $\frac{Distance}{Speed}=\frac{2400}{x+10}\ s$ = $\frac{Distance}{Speed}=\frac{2400}{x+10}\ s$

Speed of boat up stream = $\textrm{Speed of boat in still water -Speed of current}= (x-10)\ ms^{-1}$

Distance rowed up stream = $\frac{1}{6} \textrm{ of distance rowed downstream}=\frac{1}{6}\times 2400 = 400\ m$

Time spent rowing up stream = $\frac{Distance}{Speed}=\frac{400}{x-10}\ s$

We know that,

$\textrm{Time spent rowing down stream =Time spent rowing up stream}$

So,

$\frac{2400}{x+10}=\frac{400}{x-10}$

Cross multiplying

$2400(x-10)=400(x+10)$

Dividing both sides by $400$

$\frac{2400(x-10)}{400}=\frac{400(x+10)}{400}$

$6(x-10)=x+10$

$6x-60=x+10$

Adding 60 to both sides.

$6x-60+60=x+10+60$

$6x=x+70$

Subtracting both sides by $x$

$6x-x=x+70-x$

$5x=70$

Dividing both sides by 5.

$\frac{5x}{5}=\frac{70}{5}$

∴ $x=14$

Speed of boat in still water $=14\ ms^-1$

Time spent rowing down stream = $\frac{2400}{14+10}=\frac{2400}{24}=100\ s$

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2 years ago