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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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the combined age of april and laura is 23 years. laura's age is two years more than half of april's age. what is laura's age
Kipish [7]

Laura's age is 9 years.

Solution:

Let x be the age of April.

Laura's age = 2 years more than half of April's age

<u>Convert statement into algebraic expression:</u>

Half of April's age = \frac{x}{2}

2 years more than half of April's age = \frac{x}{2}+2

Combined age of April and Laura = 23

⇒ April's age + Laura's age = 23

$\Rightarrow \ \ x+(\frac{x}{2}+2) =23

$\Rightarrow \ \ x+\frac{x}{2}+2 =23

$\Rightarrow \ \ \frac{x}{1}+\frac{x}{2}+\frac{2}{1} =23

To add the fractions make the denominators same.

Multiplying 2 on both numerator and denominator of unlike terms, we get

$\Rightarrow \ \ \frac{x\times2}{1\times2}+\frac{x}{2}+\frac{2\times2}{1\times2} =23

$\Rightarrow \ \ \frac{2x}{2}+\frac{x}{2}+\frac{4}{2} =23

Denominators are same, now add the fractions.

$\Rightarrow \ \ \frac{2x+x+4}{2} =23

Do cross multiplication.

$\Rightarrow \ \ 2x+x+4=23\times2

$\Rightarrow \ \ 3x=46-4

$\Rightarrow \ \ 3x=42

$\Rightarrow \ \ x=14

Aprils's age = 14 years

Laura's age = \frac{14}{2}+2

                    = 7 + 2

Laura's age = 9

Hence Laura's age is 9 years.

8 0
3 years ago
Solve the following problems:
neonofarm [45]

Answer:

Step-by-step explanation:

tey to analyze the problems

4 0
2 years ago
HELP ME PLEASE!!!!!!!!!!!!!!!!
Pepsi [2]

The ordered pairs of the solution to the system of equation are [(3, 6), (-3, 18)]

<h3>System of equations</h3>

Given the following system of equations expressed as:

f(x) = x² - 2x + 3 and f(x) = -2x + 12

Since they are both function of x, hence;

x² - 2x + 3 = -2x + 12

x² - 2x + 3 + 2x - 12 = 0

x² - 9 = 0

x² = 9

x = ±√9

x = ±3

If x = 3

f(x) = -2(3) + 12

f(x) = 6

If x = -3

f(x) = -2(-3) + 12

f(x) =18

Hence the ordered pairs of the solution to the system of equation are [(3, 6), (-3, 18)]

Learn more on system of equation here: brainly.com/question/14323743

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6 0
2 years ago
The ratio of the profit, material cost and production labour of an article is 5:7:13.
IRINA_888 [86]

Answer:

The cost of producing the article is -3500 (Negative cost)

Step-by-step explanation:

The given parameters are

The ratio of the profit to material cost to production labor = 5:7:13

The amount of the material cost = 840 + Labor cost

Let the total cost = X

Therefore, we have;

The fraction of the total cost that is material cost = 7/(5 + 7 + 13) = 7/25

Therefore, the material cost = 7/25 × X

The fraction of the total cost that is labor cost = 13/(5 + 7 + 13) = 13/25

Therefore, the labor cost = 13/25 × X

However, the amount of the material cost = 840 + Labor cost, which gives;

7/25 × X = 13/25 × X + 840

7/25 × X - 13/25 × X = 840

-6/25 × X= 840

X = 840/(-6/25) = 840×(-25/6) = -3500

The cost of producing the article = -3500.

8 0
3 years ago
What is the area of rhombus ABCD? do not round any steps
katrin2010 [14]
Because ABCD is a rhombus, ΔABC ~ ΔADC.

The length of AC = 4 (the base of ΔABC.
The height of ΔABC = 7 - 1 = 6
The area of ΔABC is
(1/2)*4*6 = 12

Therefore the area of ABCD = 2*12 = 24

Answer: 24

3 0
2 years ago
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