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Georgia [21]
1 year ago
8

Which pair of rational numbers are equivalent? 1/3 and 0.3 2/5 and 0.25 5/6 and 0.833... 9/10 and 0.09

Mathematics
2 answers:
Alla [95]1 year ago
6 0

Answer with explanation:

Rational number

A number in the form of \frac{p}{q}, where, q≠0, and it is non terminating repeating decimal.

1. \frac{1}{3}=0.3333....

Non terminating repeating

Not equivalent with , 0.3.

2. \frac{2}{5}=0.4

Non terminating repeating

Not equivalent with , 0.25.

3. \frac{5}{6}=0.833...

Non terminating repeating

Equivalent with , 0.8333....

4. \frac{9}{10}=0.9

Non terminating repeating

Not equivalent with , 0.09.

Option 3:

\frac{5}{6}, 0.833...

tatyana61 [14]1 year ago
3 0
5/6 and 0.833
Hope this helped
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The length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58° to 3
viva [34]

Answer:

119.45 m

Step-by-step explanation:

Given:

When angle of elevation of the sun changes from 58° to 36° the length of shadow of a pole increases by 90 m.

To find:

Length of pole = ?

Solution:

Kindly refer to the attached image.

\triangle ABC represents the 1st angle of elevation of sun i.e.  58°

\triangle ABD represents the 2nd angle of elevation of sun i.e.  36°

Change in shadow is represented by CD = 90 m

Let height of pole, AB = h m

Let side BC = x m

Now, let us apply tangent rules in \triangle ABC, \triangle ABD one by one:

tan\theta = \dfrac{Perpendicular}{Base}\\\Rightarrow tan58^\circ=\dfrac{AB}{BC}\\\Rightarrow tan58^\circ=\dfrac{h}{x}\\\Rightarrow x = 0.624h ..... (1)

tan36^\circ = \dfrac{h}{x+90}

Putting value of x using equation (1):

tan36^\circ = \dfrac{h}{0.624h+90}\\\Rightarrow 0.726\times 0.624h+0.726\times 90 = h\\\Rightarrow h-0.453h =65.34\\\Rightarrow \bold{h = 119.45\ m}

119.45 m is the height of pole.

7 0
2 years ago
The rock band, Screamin’ Meanies, has a fan club that publishes a monthly newsletter. Expenses are $.35 for printing and mailing
Angelina_Jolie [31]
" break even " is when ur expenses = revenue.....there is no profit made when u break even

expenses : 0.35x + 770
revenue (ur income) : 0.55x

so they have to equal to break even...so set them equal to each other and solve for x
0.35x + 770 = 0.55x
770 = 0.55x - 0.35x
770 = 0.2x
770 / 0.2 = x
3850 = x <== they must sell 3850 copies to break even
3 0
2 years ago
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There are cars and motorcycles in a campus parking lot. The parking attendant noticed there are a total of 294 tires and a total
malfutka [58]
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2 years ago
Diego cut 7 smaller boards of equal length from a board that is 9 and one-third feet long. How long is each of the 7 smaller boa
ValentinkaMS [17]

Answer:

9 over 7 end fraction three-fourths

Step-by-step explanation:

6 0
1 year ago
15 points!!!
r-ruslan [8.4K]

Answer:

The correct option is 4.

Step-by-step explanation:

If a figure it dilated by scale factor k, then the image and preimage are similar figures and their corresponding sides are proportional.

In triangle I, the base of the triangle is 1 unit and length of the perpendicular is 1 units.

In triangle II, the base of the triangle is 1 unit and length of the perpendicular is 2 units.

\frac{1}{1}\neq \frac{1}{2}

The corresponding sides are not proportional. It means both triangles are not similar. So, there is no dilation transforming triangle I into triangle II.

Therefore the correct option is 4.

6 0
2 years ago
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