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lana66690 [7]
3 years ago
14

What is 2.23 as a fraction

Mathematics
2 answers:
sertanlavr [38]3 years ago
7 0
\boxed{2.23= \frac{223}{100} } \\\\ \text{Another example:} \\ \\ 0,(4)= \frac{4}{9} \\ \\ 2,(4)= \frac{24-2}{9} = \frac{22}{9} \\ \\ 4,(16)= \frac{416-4}{99}= \frac{412}{99}  \\ \\ 1,2(3)= \frac{123-12}{90}= \frac{111}{90}  \\ \\ 2,58(936)= \frac{25893-258}{99900} = \frac{258678}{99900} \\\\ \bold{\text{Good look !!!}}
V125BC [204]3 years ago
7 0
2.23= \frac{223}{100}
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The points P(2,3) , Q(-1,1) and R(5,-1) are the vertices of a triangle PQR.Find the equation of the altitude of the triangle PQR
vfiekz [6]

Answer:

y = \frac{3}{4} x+ \frac{7}{4}

Step-by-step explanation:

The slope of straight line PR where P(2,3) and R(5,-1) are two vertices of triangle PQR will be = \frac{3-(-1)}{2-5} =-\frac{4}{3}

Therefore, the slope of the altitude passing through Q(-1,1) will be \frac{3}{4} {Since, the product of slopes of two perpendicular straight line is -1}

So, equation of the altitude is y=\frac{3}{4} x + c where c is a constant.

Now, putting x = -1 and y = 1 in the above equation we get  

1 = -\frac{3}{4} + c

⇒ c=\frac{7}{4}

Therefore, the equation of the altitude is y = \frac{3}{4} x+ \frac{7}{4} (Answer)

6 0
3 years ago
A basketball player averages 12.5 points per game. There are 24 games in a season. At this rate, how many points would the playe
Serggg [28]

Answer:

300 points

Step-by-step explanation:

Since we have a constant rate (12.5 points/game), we can find the number of points by setting up a proportion:

\frac{12.5}{1}=\frac{x}{24}\\\\x=(12.5*24)=300

6 0
2 years ago
Aldos coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Aldo $4.15 per pound, and type of
bogdanovich [222]

Let A represent amount of Type A coffee pounds used.  

Let B represent amount of Type B coffee pounds used

A + B = 156  

B = 156 - A  

A = 156 - B

5.80A + 4.65B = 826.60  

580 (156 - B) + 4.65B - 826.60 = 0  

904.8 - 5.80B + 4.65B - 826.60 = 0

904.8 - 1.15B - 826.60 = 0  

78.2 - 1.15B = 0  

78.2/1.15 = 1.15B/1.15

68 = B

B = 68 pounds of Type B coffee

There's many more steps you can take to check and etc but am too lazy to put down sorry.

3 0
3 years ago
HELP ME I WILL GIVE BRANLISEST
RoseWind [281]

Answer:

i think it

Step-by-step explanation:

6 0
3 years ago
This question is from the similarity chapter. It would be really kind of you if you would answer this question.
katen-ka-za [31]

Answer:

a) 1650 m

b) 1677.05 m

Step-by-step explanation:

Hi there!

<u>1) Determine what is required for the answers</u>

For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.

For part B, we're asked to solve for the length of the road, or the length of AB.

<u>2) Prove similarity</u>

In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).

How do we know they're similar?

  1. Angles AYX and ACB are corresponding and they both measure 90 degrees
  2. Both triangles share angle A

Therefore, the two triangles are similar because of AA~ (angle-angle similarity).

<u>3) Solve for part A</u>

Recall that we need to find the length of AC.

First, set up a proportion. XY corresponds to BC and AY corresponds to AC:

\frac{XY}{BC}=\frac{AY}{AC}

Plug in known values

\frac{2}{300}=\frac{11}{AC}

Cross-multiply

2AC=11*300\\2AC=3300\\AC=1650

Therefore, the road will rise 300 m over a horizontal distance of 1650 m.

<u>4) Solve for part B</u>

To find the length of AB, we can use the Pythagorean theorem:

a^2+b^2=c^2 where c is the hypotenuse of a right triangle and a and b are the other sides

Plug in 300 and 1650 as the legs (we are solving for the longest side)

300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c

Therefore, the length of the road is approximately 1677.05 m.

I hope this helps!

3 0
3 years ago
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