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slava [35]
3 years ago
10

What is 1,295.014 rounded to the nearest hundredth?

Mathematics
1 answer:
stich3 [128]3 years ago
3 0
1,295.01 is 1,295.014 rounded to the nearest hundredth. The tenths place is where the 0 is after the decimal point, the hundredths place is the 1 after the decimal point, and the thousandths place is the 4 after the decimal place.
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A surveyor sights the top of a building with a handheld range finder. the top of the building is 148 feet 2 inches away. the ang
Leokris [45]

see the attached figure to better understand the problem


we know that

in the right triangle ABC

cos 56°=AC/AB

where

AC is the adjacent side to angle 56 degrees------> the distance from the surveyor to the building

AB is the hypotenuse-----> 148 ft 2 in

56 degrees------> is the angle of elevation

so

cos 56°=AC/AB---------> solve for AC

AC=AB*cos 56°

AB=148 ft 2 in

convert 2 in to ft

1 ft -----> 12 in

x ft------> 2 in

x=2/12-----> x=0.17 ft

AB=148 ft 2 in-----> 148 ft+0.17 ft------> AB=148.17 ft


AC=AB*cos 56°----> AC=148.17*cos 56°------> AC=82.86 ft


convert 0.86 ft to in

0.86 ft=0.86*12-----> 10.32 in

distance AB=82 ft 10 in


the answer is

the distance from the surveyor to the building is 82 ft 10 in

8 0
3 years ago
Analyze the scatterplot and determine the equation that
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Y-intercept : (0,1)

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Step-by-step explanation:

4 0
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Which set of shapes could you use to form a net for a
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A

Step-by-step explanation:

I did the assignment :>

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Two samples of fish from a pond were analyzed. The second sample was taken six months after the first sample.
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Step-by-step explanation:

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The school librarian, Mr. Marker, knows the library has 1,400 books but wants to reorganize how the books are displayed on the s
kipiarov [429]

Answer:

200 resource books

800 fiction books

400 nonfiction books

Step-by-step explanation:

Let's define x as the amount of resource books that are in the library. As he has four times as many fiction books as resource books, that means he has 4*x fiction books.

We also know he has half as many nonfiction books as fiction books, that is 1/2*4*x = 2*x nonfiction books.

We just need to find out the value of x.

We know there are 1,400 books in total and there are just 3 types of books. Therefore, if we sum all of them, we get the 1,400.

Written in math language, that is

x + 4x + 2x = 1,400

7x = 1,400

We divide by 7 on both sides and we get

7/7x = 1,400/7

x = 200

Now we replace the x with 200 to know how many books he has of each type:

Resource books = x = 200

Fiction books = 4*x = 4*200 = 800

Nonfiction books = 2*x = 2*200 = 400

Therefore, there are 200 resource books, 800 fiction books and 400 nonfiction books in the library.

The tape diagram is attached as an image.

8 0
2 years ago
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