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Natali [406]
2 years ago
13

Tom wants to reach a second floor window on a house that is 20 feet above ground. If he must put the ladder at a 70° angle to th

e ground, how long must the ladder be?
Mathematics
1 answer:
vovangra [49]2 years ago
5 0
Let the ladder length be L, then

sin 70 = 20/L, L = 20/sin70 = 21.3 feet
the length of ladder is 21.3 feet
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A map uses a scale of 3/4 in = 80 miles. If two buildings are 60 miles apart in real life, how far apart would they be drawn on
Alla [95]

Given:

The scale of a map is \dfrac{3}{4}\ in=80\ miles.

The distance between two buildings is 60 miles.

To find:

The distance between the given building on the map.

Solution:

We have,

\dfrac{3}{4}\ in=80\ miles

It means, 80 miles in real life = \dfrac{3}{4}\ in on the map.

1 mile in real life = \dfrac{3}{4\times 80}\ in on the map.

60 mile in real life = \dfrac{3\times 60}{4\times 80}\ in on the map.

                              = \dfrac{180}{320}\ in on the map.

                              = \dfrac{9}{16}\ in on the map.

Therefore, the buildings are \dfrac{9}{16}\ in apart on the map.

7 0
2 years ago
Pls help ple help pls help
stich3 [128]
P-24=15

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3 0
2 years ago
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How to work out math problem %of 50 shirts is 35 shirts
CaHeK987 [17]
50 shirts is equal to 100% of the shirts right? So, to find what percentage 35 shirts is, you can divide 35 by 50 to get the decimal value of the percentage. This gives you 0.7, which is the same as 70%. 

35 shirts are 70% of 50 shirts.
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3 years ago
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What is the solution to the equation -(5-(a+1))=9-(5-(2a-3))
olya-2409 [2.1K]
You are welcome
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7 0
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A hobby store marks up remote-controlled cars 20%. The original price was $35. What is the retail price to purchase a remote-con
Vinil7 [7]

Answer:

The retail price to purchase a remote-controlled car at the hobby store is $42

Step-by-step explanation:

Original Price of remote controlled car = $35

Mark up = 20%

We need to find retail price.

First we will find mark up value i.e. 20% of 35 and then add it to the original price to find retail price.

Finding 20% of 35

20\% \:of\: 35\\=\frac{20}{100}\times 35\\=7

So, mark up price is $7

Now, the retail price will be:

<em>Retail price = Original Price + Mark up</em>

Retail price = 35 + 7

Retail price = 42

So, the retail price to purchase a remote-controlled car at the hobby store is $42

4 0
3 years ago
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