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zmey [24]
3 years ago
5

On a trip to Paris, Franco visits the Eiffel tower at 6:44 P.M. The Eiffel tower is 986 feet tall and Franco is 6 feet tall. Fra

nco casts a shadow is 38 feet long. How long is the Eiffel tower’s shadow(to the nearest foot)?
A. 6432 feet

B. 5933 feet

C. 6307 feet

D. 6245 feet


Please help me I need it a lot, thank you.
Mathematics
1 answer:
Contact [7]3 years ago
4 0

Answer:

Option D is correct.

Step-by-step explanation:

It is given that 6 feet tall casts shadow for 38 feet long.

We need to find the shadow f 986 ft tall Eiffel tower.

Let's set up proportional equation to solve. Let the shadow length as 'x' feet for the tower.

\frac{6}{38} = \frac{986}{x}

Cross multiply,

6 x= 37468

Divide both sides by 6.

x= 6244.67 feet approximately.

If we round it to nearest feet, we get 6245 feet.

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Bob discovers a box with 30 identical, used, rechargeable batteries in his attic. Suppose each of them is equally likely have so
lukranit [14]

The question is incomplete! The complete question along with answer and explanation is provided below.

Question:

Bob discovers a box with 30 identical, used, rechargeable batteries in his attic.

Suppose each of them is equally likely have some charge in it, or to have run out of charge. What is the probability that:

a) All of them are out of charge?

b) 20% of them are out of charge?

Answer:

Part A) P = 9.31x10⁻¹⁰

Part B) P = 5.529x10⁻⁴

Step-by-step explanation:

It is given that probability of success or failure is 50%

Let

failure = battery is out of charge

success = battery is not out of charge

Psuccess = p = 0.50

Pfailure = q = 1 - Psuccess = 0.50

Part A) All of them are out of charge?

The probability can be found by using binomial distribution formula

P = nCr (p^r) (q^n-r)

where r is the number of success

n = 30, r = 30 and n - r = 30 - 30 = 0

P = ₃₀C₃₀(0.50)³⁰(0.50)⁰

P = 9.31x10⁻¹⁰

Part B) 20% of them are out of charge?

Out of charge batteries = 0.20*30 = 6

n = 30, r = 24 and n - r = 30 - 24 = 6

P =₃₀C₆(0.50)²⁴(0.50)⁶

P = 5.529x10⁻⁴

5 0
3 years ago
The graph of y= sin (x-3pi/2) is the graph of the y = sin(x) shifted in which direction?
Nutka1998 [239]

Answer:

y=\sin(x-\frac{3\pi}{2}) is the graph of  y=\sin x shifted to the right by \frac{3\pi}{2} units.

Step-by-step explanation:

The given function is

y=\sin(x-\frac{3\pi}{2})

The base function of this trigonometric function is y=\sin x

In general, the transformation y=\sin(x-k) will shift the graph of the base function, y=\sin x, k units to the right.

Therefore, y=\sin(x-\frac{3\pi}{2}) is the graph of  y=\sin x shifted to the right by \frac{3\pi}{2} units.

4 0
3 years ago
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sveta [45]

Answer:

7.96

Step-by-step explanation:

50/3.14

15.92

15.92/2

7.96

4 0
3 years ago
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Gracie owns a deferred annuity. The contract is tied to a market index, which was at 1000 when Gracie purchased the product and
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Answer:

Point to point indexed annuity.

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An indexed annuity is linked to specific index performance. Point to point indexed annuity is the one which gives interest on the basis of index percentage change. The interest credit is calculated by taking the percentage change between the beginning and end points of the index.

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Divide and find answer
Reika [66]

Answer:

Step-by-step explanation:

11 is A ( i think)

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