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VLD [36.1K]
3 years ago
10

How do you change 21.5 into a fraction

Mathematics
2 answers:
NikAS [45]3 years ago
5 0
21.5 means 21 and 5 tenths and is read that way.

21.5 = 21 5/10 =(21*10 + 5) /10 = 215/10 = 43/2 in simplest terms
Ulleksa [173]3 years ago
4 0
21.5 = 21 1/2
decimal = fraction
You might be interested in
a family has two cars. the first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of
nikklg [1K]

Car A consumes 25 gallon and car B consumes 15 gallon.

Step-by-step explanation:

Given,

The fuel efficiency of car A = 20 miles per gallon.

The fuel efficiency of car B = 15 miles per gallon.

In a week, two cars went 725 miles and consumed 40 gallons.

To find the consumption of each car in that week.

Let,

Car A consumed x gallon

Car B consumed y gallon.

According to the problem,

x+y = 40 ----- (1)

20x+15y = 725

or, 4x+3y = 145 -------- (2)

From (1) we get, x = 40-y

Putting the value of x in (2) we get,

4(40-y)+3y = 145

or, 160-4y+3y = 145

or, -y = 145-160

or, y = 15

From (1) we get, x = 40-15 = 25

Hence,

Car A consumes 25 gallon and car B consumes 15 gallon.

7 0
3 years ago
Find the exact value by using a half-angle identity. sin(5pi/12)
anzhelika [568]

Find <span>tan<span>(<span><span>5π</span>12</span>)</span></span> and sin ((5pi)/12)
Answer: <span>±<span>(2±<span>√3</span>)</span>and±<span><span>√<span>2+<span>√3</span></span></span>2</span></span>

Explanation:

Call tan ((5pi/12) = t. 
Use trig identity: <span><span>tan2</span>a=<span><span>2<span>tana</span></span><span>1−<span><span>tan2</span>a</span></span></span></span>
<span><span>tan<span>(<span><span>10π</span>12</span>)</span></span>=<span>tan<span>(<span><span>5π</span>6</span>)</span></span>=−<span>1<span>√3</span></span>=<span><span>2t</span><span>1−<span>t2</span></span></span></span>
<span><span>t2</span>−2<span>√3</span>t−1=0</span>

<span>D=<span>d2</span>=<span>b2</span>−4ac=12+4=16</span>--> <span>d=±4</span>

<span>t=<span>tan<span>(<span><span>5π</span>12</span>)</span></span>=<span><span>2<span>√3</span></span>2</span>±<span>42</span>=2±<span>√3</span></span>

Call <span><span>sin<span>(<span><span>5π</span>12</span>)</span></span>=<span>siny</span></span>
Use trig identity: <span><span>cos2</span>a=1−2<span><span>sin2</span>a</span></span>
<span><span>cos<span>(<span><span>10π</span>12</span>)</span></span>=<span>cos<span>(<span><span>5π</span>6</span>)</span></span>=<span><span>−<span>√3</span></span>2</span>=1−2<span><span>sin2</span>y</span></span>
<span><span><span>sin2</span>y</span>=<span><span>2+<span>√3</span></span>4</span></span>
<span><span>siny</span>=<span>sin<span>(<span><span>5π</span>12</span>)</span></span>=±<span><span><span>√<span>2+<span>√3</span></span></span>2</span></span></span>

5 0
3 years ago
Simplify 27^2.<br><br> please (thxx)
adoni [48]

Answer:

729

Step-by-step explanation:

Raise 27 to the power of 2.

729

4 0
3 years ago
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
fomenos

Answer:

C. The graph of G(x) is the graph of F(x) flipped over the y-axis and compressed vertically.

Step-by-step explanation:

The negative in front of the 2 made the function flip over the y-axis. While the 2, compressed the function a little, making it so the function touched 2, vertically.

7 0
3 years ago
Find the area of the circle r=14m use pi=3.14 and round your answer to the nearest hundredth
pantera1 [17]

Answer:

<h2>The answer is 615 m²</h2>

Step-by-step explanation:

Area of a circle = πr²

where

r is the radius

From the question

r = 14 m

π = 3.14

The area of the circle is

A = 3.14 × ( 14 ) ²

= 3.14 × 196

= 615.44

We have the final answer as

<h3>615 m² to the nearest whole number</h3>

Hope this helps you

7 0
3 years ago
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