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fenix001 [56]
3 years ago
8

The decimal 0.3(repeating) represents 1/3. what type of number best describes 0.9(repeating), which is 3 times 0.9(repeating)? e

xplain.
Mathematics
2 answers:
Dima020 [189]3 years ago
6 0

Answer:

Step-by-step explanation:

Given that the decimal 0.3 (repeating) represents \frac{1}{3}

We are to find out the value 0.9(repeating) using the above.

Since 0.9999... = 3 (0.3333...)\\0.9999... = 3(\frac{1}{3} ) =1

We can solve this using the other method also

Let

x = 0.9999....\\\\ 10x = 9.9999....\\--------------------\\9x = 9\\x=1

We get the same answer under both the methods.

jekas [21]3 years ago
4 0
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What is the slope of the line y =-3x + 7?
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Answer:

7

Step-by-step explanation:

3 0
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Find the equation of a line that passes through (2,9) and is parallel to the graph of y=3x+5 Write the equation in​ slope-interc
Vika [28.1K]

Answer:

y=3x+3

Step-by-step explanation:

9=3(2)+c

9=6+c

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8 0
3 years ago
15a-25=35
noname [10]
15a-25=35
3.333

Leah needs to buy some apples from the grocery store. She places fifteen apples in her cart and proceeds to the checkout. Lucky for her, there happens to be a discount on apples for the day. She saves $25 on her purchase. The total money she ends up spending was only $35 (excluding tax). How much did each apple cost?
3 0
3 years ago
Building A is 400 feet tall and Building B is 300 feet tall. Johnny is standing in between the two building. The angle of elevat
Free_Kalibri [48]

Answer:

389 feets apart

Step-by-step explanation:

Given that:

Building A

Height = 400feets

Angle of elevation = 70°

Building B:

Height = 300 feets

Angle of elevation = 52°

Distance from the foot of building A to where Jonny is standing = x (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 70 = 400/ x

2.7474774x = 400

x = 145.58809 feets

Distance from the foot of building B to where Jonny is standing = y (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 52 = 300/ y

1.2799416y = 300

y = 145.59

y = 234.38568 feets

x + y = distance between the two buildings

(145.58809 + 234.38568) feets

= 379.97377

= 380 feets apart

5 0
2 years ago
If α, β are the zeroes of the polynomials f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) =
Pavlova-9 [17]

Answer:

f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)

Step-by-step f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)explanation:

f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(xf(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(xf(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)

4 0
3 years ago
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