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2 years ago

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5. A monument casts a 78 ft. shadow at the same time that a vertical yardstick casts a 4.5 ft. shadow. How high is the monument?

1 answer:

rodikova [14]2 years ago

5 0

Hello,

Using Thalès 's theorem:

Let's h the height of the monument.

$\dfrac{1}{h} =\dfrac{4.5}{78} \\\\h=\dfrac{78}{4.5} =\dfrac{156}{9} \approx{17.3\ (ft)}$

If you don't know what is the Thalès's theorem,

imagine that the similar triangles.

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Nana76 [90]

Answer:

7/36

Step-by-step explanation:

find the LCD write all the numerators above the least common denominator

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4 +3 /36 =7/36

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2 years ago

While in Europe, if you drive 123 km per day, how much money would you spend on gas in one week if gas costs 1.10 euros per lite

Leona [35]

First, you drive 123km per day, and they ask for in a week.
There are 7 days in a week, we have to multiply 123 by 7, which equals 861.
=km per week 861
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So, we divide 1.10 by 1.26 which is 0.87.
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Next, this person goes 31.0 mi/gal per stop.
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6 0

3 years ago

Read 2 more answers

Can u help me to answer 1-4? Please and thankyou

SVEN [57.7K]

1. ) 1 thru 9 are both natural numbers and whole numbers. 0 is a whole number, but not a natural number.

2.) 6...it is a natural number because it is a counting number and it is whole, it is a whole number and it is an integer as well. It is also rational because it can be turned into a fraction 6/1.

3.) -2 is a rational number because it can be turned into a fraction -2/1, but it is not a whole number because it contains a negative.

4.) That number would be 0

3 0

3 years ago

A rectangular garden has a length of 9 feet and a width of 4.5 feet. What is the perimeter of the garden?

Andreyy89

Answer: 27

Explanation:
P = 2(l+w) = 2 · (9 + 4.5) = 27

6 0

2 years ago

Lines a and b are parallel.

VashaNatasha [74]

I have added a screenshot with the complete question along with a diagram representing the scenario.

<u><em>Answer:</em></u>
s = 22°

<u><em>Explanation:</em></u>
<u>1- getting the top right angle of line B:</u>
We are given that:
the top right angle of line A = 158°
Since lines A and B are parallel, therefore, the top right angle of line A and the top right angle of line B are corresponding angles which means that they are equal
This means that:
<u>Top right angle of line B = 158°</u>

<u>2- getting the value of s:</u>
Now, taking a look at line B, we can note that:
angle s and the top right angle form a straight angle. This means that the sum of these two angles is 180°
Therefore:
180 = s + 158
s = 180 - 158
<u>s = 22°</u>

Hope this helps :)

8 0

2 years ago