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larisa86 [58]
3 years ago
15

Which of the following is the simplified fraction its equivalent to 0.315. a) 35/999, b) 35/111, c) 105/333, d) 31/99

Mathematics
1 answer:
ad-work [718]3 years ago
8 0

Answer:

B.

Step-by-step explanation:

A. 35/999 = 0.035...

B. 35/111 = 0.315...

C. 105/333 = 0.315...

D. 31/99 = 0.31...

So, B and C are the same. Based on the information given, B is the simplified form of C.

105/333 = 35/111

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The diagram represents a reduction of a triangle by using a scale factor of 0.8.
Alekssandra [29.7K]

Answer:

4.8 inches

Step-by-step explanation:

<em>See comment for complete question</em>

Represent the larger triangle with 1 and the smaller with 2.

So, we have:

H_1 =6\ in -- height of 1

Required

Determine H2 --- Height of 2

To do this we apply dilation formula.

Original * Scale\ Factor = New

In this case:

H_1 * Scale\ Factor = H_2

Substitute 6 for H1 and 0.8 for Scale Factor

6* 0.8 = H_2

4.8= H_2

Hence, the height of the smaller triangle is 4.8 inches

3 0
3 years ago
A podcast is 180 minutes long. During the podcast there are more than 48 minutes of commercials.
irina [24]
127-79/4(48)-56a
A=68
3 0
2 years ago
A fishing boat lies 200 m due south of a large tree on the shoreline and 300 m southwest of the dock. The shoreline runs East to
Lunna [17]
Tree...........................dock
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boat

use Pythagorean Theorem to satisfy...a^2 + b^2 = c^2

200^2 + b^2 = 300^2
b^2 = 300^2 - 200^2
b^2 = 50000  (get square root of each)
b = 223.606  (rounded to the nearest tenth.... = 223.6



4 0
3 years ago
Read 2 more answers
3x - y = 7 6x - y = 10 When solving this system of equations by elimination, which could be the resulting equation when a variab
max2010maxim [7]
It depends on which variable is eliminated.

If you multiply the second equation by -1 and eliminate the y:
3x - y = 7
-6x + y = -10
-3x = -3 or x = 1
 
If you multiply the first equation by -2 and eliminate the x:
-6x + 2y = -14
6x - y = 10
y = -4


6 0
3 years ago
A ball is thrown horizontally with a speed of 10 m/s, from the edge of the top of the building of height 19.6m, and later strike
kodGreya [7K]
1) You need to solve t - 19.6=.5(9.8)t^2
2) Then solve fvf^2=2(9.8)(19.6)
3) As it's constant it is<span> still 10m/s
4) You need to </span><span>use the</span> time from part 1 times 10m/s
5) Use Pythagorean theorem with <span>10m/s and vf

I am pretty sure it will help you.</span>
3 0
3 years ago
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