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xxMikexx [17]
1 year ago
6

A boat is heading towards a lighthouse,

Mathematics
1 answer:
larisa86 [58]1 year ago
4 0

Answer: 920.3 ft

Step-by-step explanation:

\tan 7^{\circ}=\frac{113}{x} \\ \\ x(\tan 7^{\circ})=113 \\ \\ x=\frac{113}{\tan 7^{\circ}} \approx \boxed{920.3 \text{ ft}}

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Find the value of tan(sin^-1(1/2))
suter [353]

If you know that \sin\dfrac\pi3=\dfrac12, then you know right away

\tan\left(\sin^{-1}\dfrac12\right)=\tan\dfrac\pi3=\dfrac1{\sqrt}3=\dfrac{\sqrt3}3

###

Otherwise, you can derive the same result. Let \theta=\sin^{-1}\dfrac12, so that \sin\theta=\dfrac12. \sin^{-1} is bounded, so we know -\dfrac\pi2\le\theta\le\dfrac\pi2. For these values of \theta, we always have \cos\theta\ge0.

So, recalling the Pythagorean theorem, we find

\cos^2\theta+\sin^2\theta=1\implies\cos\theta=\sqrt{1-\sin^2\theta}=\sqrt{1-\left(\dfrac12\right)^2}=\dfrac{\sqrt3}2

Then

\tan\theta=\tan\left(\sin^{-1}\dfrac12\right)=\dfrac{\sin\theta}{\cos\theta}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}=\dfrac{\sqrt3}3

as expected.

5 0
3 years ago
Read 2 more answers
10. What's the area of a slice of pizza from a large pizza with radius 9 inches cut into 6 slices?
Kipish [7]

Answer:

A

Step-by-step explanation:

A= r(pi)^2

A= 9 pi ^2

Hope it helps!

5 0
3 years ago
If my heart beats 2790 times every three quarters of an hour, what is your heart rate per minute?
kodGreya [7K]

Your heart rate is the number of times each minute that your heart beats, which is normally between 60 and 100 times per minute for adults. Your pulse is a way you can feel each time your heart beats. Measuring your heart rate helps you monitor your own health and know if you’re exercising at the right level to get the most benefits to your health.

Your pulse is your heart rate, or the number of times your heart beats in one minute. Pulse rates vary from person to person. Your pulse is lower when you are at rest and increases when you exercise (more oxygen-rich blood is needed by the body when you exercise). Knowing how to take your pulse can help you evaluate your exercise program.

5 0
2 years ago
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. A piece of wire is 11 1/4 yards long. It is cut into 9 equal pieces. What is the length of each piece of the wire? *
laila [671]

djdhdhusidhdushdhd

Carryonlearning <3

The number of subsets of a set is 256, and the number of subsets of a set is 128. If | ∪ | = 2 × | ∩ |, then what is the value of | ∩ |? and what will be the number of subsets of the set ∩ ?

3 0
2 years ago
Y = 5- 2<br> 1-3x + y = -12<br><br> What is the value of x and y ?
zloy xaker [14]

Answer:

x=5.333

y=3

Step-by-step explanation:

given, y=5-2............(1)

1-3x+y=-12...............(2)

y=5-2=3

put y=3 in equ (2)

1-3x+3=-12

1+3+12=3x

3x=16

x=\frac{16}{3}

x=5.333

hence, x=5.333

           y=3               answer

7 0
3 years ago
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