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OleMash [197]
3 years ago
13

If there are about 1 2/5 kilometers in 1 mile,about how many kilometers are in 4 miles?

Mathematics
1 answer:
-BARSIC- [3]3 years ago
7 0
<span>This problem is an example of ratio and proportion. A ratio is a comparison between two different things. You are given the equivalent distance of a 1 2/5 kilometers to 1 mile. Also you are given 4 miles. You are required to find the distance in kilometers of 4 miles. The solution of this problem is,</span>  

1 2/5 kilometers /1 mile = distance/ 4 miles
distance = (4 miles) (1 2/5 kilometers /1 mile)
<u>distance = 28/5 or 5.6 kilometers</u>
<u>There are 5.6 kilometers in 4 miles.</u>
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Doss [256]

Consider the function f(x)=\sqrt{x}. This function has:

  • the domain x\in [0,\infty);
  • the range y\in [0,\infty).

If the domain of unknown function is [a,\infty), then x\ge a or x-a\ge 0. This means that you have \sqrt{x-a} as a part of needed function.

If the range of unknown function is [b,\infty), then y\ge b. This means that you have to translate function b units up and then the expression of the function is

y=\sqrt{x-a}+b.

Answer: correct choice is B.

6 0
3 years ago
The polygons are similar. Find the missing side length.
zloy xaker [14]

Answer:

44

Step-by-step explanation:

Since triangles are similar, so their corresponding sides would be in proportion.

Therefore,

\frac{24}{32}  =  \frac{33}{?}  \\  \\  \\ ? =  \frac{32 \times 33}{24}  \\  \\ ? =  \frac{4\times 33}{3} \\  \\ ? =  4\times 11 \\  \\  ? =  44 \: units

6 0
3 years ago
Ellie drew ΔLMN, in which m∠LMN = 90°. She then drew ΔPQR, which was a dilation of ΔLMN by a scale factor of one half from the c
vaieri [72.5K]

Answer:

m∠P ≅ m∠L; this can be confirmed by translating point P to point L.

Step-by-step explanation:

Angle angle (AA) similarity postulate state that two triangles are similar if two of their corresponding angle is similar. The corresponding angle for each point of the triangles will be:

∠L=∠P

∠Q=∠M

∠N=∠R

Since the 2nd triangle made from dilation, it should maintain its orientation.

Option 1 is true, ∠P corresponds to ∠L. If you move/translate point P to point L, you can confirm it because their orientation is the same.

Option 2 is false, the triangle will be similar if ∠P=∠N but you can't confirm it with translation alone.

Option 3 and 4 definitely wrong because it speaking about length, not the angle.

6 0
3 years ago
Read 2 more answers
What times what equals 54
KonstantinChe [14]
1x54=54
2x27=54
3x18=54
6x9=54


8 0
4 years ago
In one game, the ratio of three-point baskets to three-point tries for one team was 3:8. If the team scored 27 points from three
nasty-shy [4]

Since we’ve been given a ratio, 3:8, we can convert that into a fraction and form an equation from it:

\frac{3}{8} = \frac{27/3}{?}

The reason the numerator on the second fraction is 27/3 is because the team scored 27 points, not 27 baskets.

Simplify (Also replace the ? with an unknown variable):

\frac{3}{8} = \frac{9}{n}

Cross multiply:

3*n = 9*8

Simplify:

3n = 72

Divide both sides by 3:

n = 24

The team had 33 three point tries, 9 successes, and 24 fails.

-T.B.

7 0
3 years ago
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