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Sedaia [141]
3 years ago
5

Suppose you are standing such that a 36-foot tree is directly between you and the sun. If you are standing 50 feet away from the

tree and the tree casts a 60-foot shadow, how tall could you be and still be completely in the shadow of the tree?

Mathematics
1 answer:
musickatia [10]3 years ago
7 0

Answer:

6 feet

Step-by-step explanation:

Given,

The height of tree, say AB ( A is top, B is bottom ) = 36 foot,

Length of its shadow, BE = 60 feet,

Suppose CD represents me, ( where C is top, D is bottom )

We have, BD = 50 feet,

∵ DE = BE - BD = 60 - 50 = 10 feet,

Using trigonometric ratio,

\tan A = \frac{CD}{DE}=\frac{AB}{BE}

\implies \frac{CD}{10}=\frac{36}{60}

CD = \frac{36}{60}\times 10 =\frac{36}{6}=6

Hence, I would be 6 feet tall.

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Solve − 2 x − 10 y = 10
skad [1K]

Answer:

x=-10 and y=1

Step-by-step explanation:

-2(-10)=20

-10(1)=-10

20-10=10

8 0
3 years ago
Read 2 more answers
Please help me with the 3rd question!!! I'll give you 91 points now, please.
saw5 [17]

Answer:

At the end of the day 797 lockers were closed.

Step-by-step explanation:

So first of all you need to find out how many even numbers there are from 1-900 (which is 450) so you know that 450 are open. In the 3 multiplication tables every second number is even so you know that half of the 450 lockers that was opened was closed again: this meant that 225 lockers remained open.

You also know that every number in the 4 multiplication tables is the second number in the 2 multiplication tables so half of them are closed but you also know that the 900th locker was opened so now you have 113.

So to conclude you do 900-113 which gives you 797 (this is because 113 is the amount of lockers that is open)

3 0
3 years ago
Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks​
Iteru [2.4K]

Let

P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

P(1):\ 1 = \dfrac{1\cdot 2}{2}=1

So, the base case is ok. Now, we need to assume P(n) and prove P(n+1).

P(n+1) states that

P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}

Since we're assuming P(n), we can substitute the sum of the first n terms with their expression:

\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}

Which terminates the proof, since we showed that

P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}

as required

4 0
3 years ago
Record for Boston Marathon's wheelchair division is 1 hour, 18 minutes, and 27 seconds.
aleksley [76]
1 hr 18 minutes and 27 seconds hmmm

there are 60 minutes in 1 hr, thus 18 minutes is 18/60 hrs or 0.3hr.

so 1hr 18min is 1.3 hrs

there are 60 seconds in 1 minute and 60 minutes in 1 hr, thus 60*60 seconds in 1hr, or 3600 seconds, so, 27 seconds is just 27/3600 hrs, or 0.0075 hrs.

so, 1.3 hr or 1.3000 hr for that matter plus 0.0075, is just 1.3075 hrs.

a)

so, they covered 26.2 miles in 1.3075 hrs, so the average speed is just 26.2/1.3075, or about 20.0382409177 miles/hr

b)

\bf \begin{array}{ccll}
miles&hrs\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
26.2&1.3075\\
30&h
\end{array}\implies \cfrac{26.2}{30}=\cfrac{1.3075}{h}\implies h=\cfrac{1.3075\cdot 30}{26.2}

8 0
3 years ago
Please answer correctly, will mark brainliest
Helga [31]

Answer:

32.8

Step-by-step explanation:

C^2 - B^2 = A^2

34.6 ^2 - 11^2 = A^2

1197.16 - 121 = A^2

1076.16 = A^2

4 0
3 years ago
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