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icang [17]
3 years ago
10

Ou are driving to visit a friend in another state who lives 440 miles away. You are driving 55 miles per hour and have already d

riven 275 miles. Write and solve an equation to find how much longer in hours you must drive to reach your destination.

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
7 0
There ya go hope this helps ya

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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

4 0
2 years ago
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Find the value of x in the triangle shown below.
ycow [4]

Answer:

30 Degrees for sure

6 0
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Convert to standard form y=2(x+3)(x-6)
Nataly_w [17]

Answer:

the answer is 2x²-6x-36

3 0
3 years ago
Josh is hiking glacier national park. He has now hiked a total of 17km and is 2km short of being 1/2 of the way done with his hi
Alla [95]

Answer: The total length in kilometers is 38 km


Step-by-step explanation:


17 + 2 = 19 km is 1/2 of the total length, that is,


19 = (1/2)h


(1/2)h = 19 multiply both sides by 2


h = 2*19


h = 38 km

5 0
3 years ago
The diameter of a sphere is 21.6 cm. What is the sphere's volume? Round to the nearest tenth, if necessary.
NeX [460]
By definition, the volume of a sphere is:
 V =  \frac{4}{3}  (\pi) (r ^ 3)&#10;
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5 0
3 years ago
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