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STatiana [176]
2 years ago
12

At a given time of day, the ratio of the height of an object to the length of its shadow is the same for all objects. If a 4-ft

stick in the ground casts a shadow of 0.8 ft, find the height of a
tree that casts a shadow that is 7.04
The height of the tree is?
Mathematics
1 answer:
Gre4nikov [31]2 years ago
4 0
4/0.8=X/7.04
0.8x=28.04
X= 35.05’
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Peter is reading a 193-page book. he has read three pages more than one-fourth of the number of pages he hasn't yet read. how ma
exis [7]
Let's call <em />the number of pages we <em>have </em>read m. To find the number of pages we have <em>left</em> to read, we'll need to subtract the number of pages we've read from the total number of pages in the book. Our total page count is 193, and the number of pages we've read is the unknown m, so the number of pages we <em />haven't read can be written as 193-m. With that knowledge, let's construct the rest of our equation.

"He has read three pages more than one-fourth of the number of pages he hasn't yet read." The first key phrase here is "he has read." What this means is that the number of pages he's read, which we've named m, is equal to everything in the rest of the sentence. "Thee pages more than" means that we're going to be adding 3 to whatever the next quantity described is, which, in this case, is "one-fourth of the number of pages he hasn't yet read." We already established earlier that "the number of pages he hasn't yet read" is 193-m, so one-fourth of that would be \frac{1}{4} (193-m). Putting everything together, we get the following equation:

m= \frac{1}{4} (193-m)+3

To solve for m, we might first want to eliminate the fraction 1/4 by multiplying both sides of the equation by 4, obtaining

4m=193-m+12

Solving for m, we get:

4m=193+12-m\\5m=205\\m=41

Now that we have m, it's a simple matter to solve for 193-m:

193-41=152

So, he has not yet read 152 pages.
6 0
3 years ago
Emile will use less than 1/2 cup of sugar for a recipe what fraction might emile use?
Mandarinka [93]

Answer:

1/4, 1/8, 1/5, *Actually there are a <em>lot</em> of possibilities.*

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
The sides of a square are 3 2/7 inches long.<br> What is the area of the square?
vredina [299]
Area is just height times width so if it’s a square all sides are equal so you do 3 2/7 time 3 2/7 and get 10.796 in^2
3 0
3 years ago
One year, the population of a city was 352,000. Several years later it was 337,920.
kvasek [131]

hi

here is  the  method :

you take  Value 1  and Value 2

And you do :   ( Value 2 - Value 1)  / (Value 1 )    * 100

Here we have :    Value 1 = 352 000

                            Value 2 =  337 920

So now we apply :

( 337 920 - 352 000 )  /  ( 352 000)   * 100 =  -4  

Population decreased by by  4 %

You can also make :  

352 000 * X = 337 920

                 X =  337 920 / 352 000

                 X = 0.96

if  the multiplier is  0.96 ,  it's mean that we lost  1 -0.96 = 0.04  

which mean  - 4%

8 0
2 years ago
I need help with this problem:(​
steposvetlana [31]

Answer:

8

Step-by-step explanation:

According to Euclidean theorem

m^2 = 4×16

m^2 = 64

m = 8

3 0
3 years ago
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