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lapo4ka [179]
3 years ago
6

Please help!! I have tried it on my own and I am stuck

Mathematics
1 answer:
elena55 [62]3 years ago
8 0

Answer:

1. 23.59 feet

2. 32.9°

Step-by-step explanation:

1. See the diagram attached.

The man is 11 feet distance from the bottom of the tree.

And the angle of elevation from the man to the top of the tree is 65°.

Now, we need to approximate the height of the tree,

Using the trigonometry, we can write  

\tan 65^{\circ} = \frac{\textrm {Height of the Tree}}{\textrm {Base Distance}} = \frac{h}{11}

⇒ h = 11 tan 65° = 23.59 feet (Approx.) (Answer)

2. See the diagram attached.

From the given right triangle the hypotenuse is 25 feet and the base is 21 feet.

And the angle between the hypotenuse and the base is the pitch of the ram of a NASCAR turn.

Using trigonometry, we can write  

\cos \theta = \frac{\textrm {Base}}{\textrm {Hypotenuse}} = \frac{21}{25}

⇒ \theta = \cos^{-1}(\frac{21}{25}) = 32.9^{\circ} (Answer)

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Leviafan [203]

Answer:

3.762 x 10^-7

Step-by-step explanation:

Alright this has the same exact concept as other scientific notation problems.

First, multiply your first numbers: 4.18 x 9 = 37.62

Next, we add our powers together -4 +-4 = -8 (can also be read as -4 - 4 = -8)

We now have 37.62 x 10^-8

Wait! This isn't in scientific notation.

Taking a closer look at this we see 37.62 x 10^-8 can be adjusted by moving the decimal over to the left. Scientific notation must be in simplest form with only one number on the left of the decimal. This gives up 3.762.

Now we need to adjust our notation. Since we moved the decimal over one we are adding one more power to our problem.

Our current power of -8 is now adding a power due to moving the decimal place over one unit to the left. This is equivalent to saying -8 + 1 which equals -7. Now that we fixed our powers, we can put our equation back together for our final answer

3.762 x 10^-7

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3 years ago
If a household appliance has a wattage of 6,995 and is in use for 3 hours, how much CO2 was produced? Round to 1 decimal.
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Answer:

\large\boxed{y=2(x+3)^2-6}

Step-by-step explanation:

The vertex form of a parabola f(x) = ax² + bx + c:

y=a(x-h)^2+k

(h, k) - vertex

h=\dfrac{-b}{2a}\\\\k=f(h)

We have the equation:

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