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cluponka [151]
2 years ago
6

Madelyn is 1.85 meters tall. At 12 noon, she measures the length of a tree's shadow to be 39.75 meters. She stands 34.9 meters a

way from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Mathematics
1 answer:
Margaret [11]2 years ago
6 0

The relationship between her height and the tree's is an illustration of ratios and proportions

The height of the tree is approximately 2.11 meters

Her height is represented as:

\mathbf{h =1.85}

At 12 noon, the length of the tree's shadow and her distance from the shadow are given as:

\mathbf{D =39.75}

\mathbf{d =34.9}

To calculate the height (H) of the tree, we make use of the following equivalent ratios

\mathbf{H : h =D : d}

So, we have:

\mathbf{H : 1.85 =39.75 : 34.9}

Express ratio as fraction

\mathbf{\frac{H }{ 1.85 }=\frac{39.75 }{ 34.9}}

Multiply both sides by 1.85

\mathbf{H=1.85 \times \frac{39.75 }{ 34.9}}

\mathbf{H=2.11}

Hence, the height of the tree is approximately 2.11 meters

Read more about ratios and proportions at:

brainly.com/question/7810782

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Find the volume of the following solid. The solid between the cylinder ​f(x,y)equals=e Superscript negative xe−x and the region
PilotLPTM [1.2K]

It is hard to comprehend your question. As far as I understand:

f(x,y) = e^(-x)

Find the volume over region R = {(x,y): 0<=x<=ln(6), -6<=y <= 6}.

That is all I understood. It would be easier to understand with a picture or some kind of visual aid.

Anyways, to find the volume between the surface and your rectangular region R, we must evaluate a double integral of f on the region R.

\iint_{R}^{ } e^{-x}dA=\int_{-6}^{6} \int_{0}^{ln(6)} e^{-x}dx dy

Now evaluate,

\int_{0}^{ln(6)}e^{-x}dx

which evaluates to,  5/6 if I did the math correct. Correct me if I am wrong.

Now integrate this w.r.t. y:

\int_{-6}^{6}\frac{5}{6}dy = 10

So,

\iint_{R}^{ } e^{-x}dA=\int_{-6}^{6} \int_{0}^{ln(6)} e^{-x}dx dy = 10

7 0
3 years ago
HELP ME PLEASE FOR BRAINLIEST!!!!
Brilliant_brown [7]
I think it is 10.

hope this helps!!! :D
3 0
3 years ago
Sjddkdkkdkdkdkdkdkdkkddkjsjssj
masya89 [10]

Answer:

PLESS WRITE A CORRECT QUESTION THAS I CAN HELP YOU

8 0
3 years ago
Help asap pls for brainliest!
Brut [27]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please help question is in image
garri49 [273]

Answer:

K

Step-by-step explanation:

I THINK IT'S SHAPE IS SQUARE. IT HAS FOUR SIDES.

I THINK THE NAME IS TRUCK DIRVER DRUNKED LOL

TE-PAHADI GAMING

7 0
3 years ago
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