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3 years ago

6

A boat heads south at 120 mph while a steamer heads east at 50 mph. If they started from the same dock and at the same time, whe

n will the distance between them be 130 mi?

2 answers:

Snezhnost [94]3 years ago

8 0

Answer:

1 hour after they leave

Step-by-step explanation:

The distance each travels is proportional to its speed. The given speeds are at right angles to each other in a 5:12 ratio. The Pythagorean theorem tells you the hypotenuse of such a right triangle will have length ...

√(5²+12²)=√169 = 13

That is the speeds are in the ratio 5:12:13, where 13 represents the relative separation speed. Actual speeds are then 50 mph : 120 mph : 130 mph.

So the distance between the boat and steamer will be increasing at 130 mph. The distance will be 130 miles after 1 hour.

Aneli [31]3 years ago

4 0

Answer:

1 hour

Step-by-step explanation:

to solve, just use pythagerum therum!

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Christine made $60 for 5 hours of work.

Mrac [35]

Answer: 13 hours

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3 years ago

Given that tangent theta = negative 1, what is the value of secant theta, for StartFraction 3 pi Over 2 EndFraction less-than th

vivado [14]

The value of tangent theta is equal to the negative 1. At this value the value of secant theta is $\sqrt{2}$ .

<h3>What is tangent theta?</h3>

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

$\rm tan\theta=\dfrac{sin \theta}{cos \theta}$

Given information-

The value of tangent theta is equal to the negative 1.

$\tan \theta=-1$

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

$\rm tan\theta=\dfrac{sin \theta}{cos \theta}$

The value of tangent theta is equal to the negative 1. Thus put the value in above expression as,

$\rm -1=\dfrac{sin \theta}{cos \theta}\\$

Simplify it further as,

$\rm -cos \theta=sin \theta$

When the value of cosine and sine theta is equal, then the angle exist in 4th quadrant with the value of $\dfrac{7\pi}{4}$ . Which extent to the $\sqrt{2}/2$ for the cosine function.

In the trigonometry cosine theta is the reciprocal of the secant theta. Thus,

$\rm \dfrac{1}{sec\theta}=\dfrac{\sqrt{2}}{2}\\sec\theta=\sqrt{2}$

Thus the value of secant theta is $\sqrt{2}$

Learn more about the tangent theta here;

brainly.com/question/29190

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2 years ago

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Find the circumference of each circle. Use 3.14 or 22/7 for π. Round to the nearest tenth, if necessary.

zhuklara [117]

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2 years ago

I need help on 14 please

Fynjy0 [20]

2+x=50

That is what I would do. I hope this helps!

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3 years ago

Read 2 more answers

How do I find the measure of the interior angle?

nataly862011 [7]

Answer:

see the explanation

Step-by-step explanation:

we know that

The sum of the interior angles in any polygon is given by the formula

$S=(n-2)180^o$

where

n is the number of sides of the polygon

step 1

Find the sum of the interior angles in the given polygon

we have

$n=5\ sides$

substitute

$S=(5-2)180^o=540^o$

step 2

Find the value of x

we know that

$-3x+125+(45-x)+(-x+90)+80=540$

solve for x

$-5x+340=540$

$-5x=200\\x=-40$

step 3

Find the measure of each interior angle

substitute the value of x

Angle A

$-3(-40)=120^o$

Angle B

$80^o$

Angle C

$-(-40)+90=130^o$

Angle D

$45-(-40)=85^o$

Angle E

$125^o$

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3 years ago