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sertanlavr [38]
3 years ago
6

Are the ratios 2:1 and 9:5 equivalent?

Mathematics
2 answers:
puteri [66]3 years ago
3 0

Answer:

no

Step-by-step explanation:

if we put the ratios as fractions, we would get 2/1, or just 2, and 1 4/5. these are not equivalent, so the ratios are not equivalent either.

Deffense [45]3 years ago
3 0

Answer:

No.

Step-by-step explanation:

2:1 has multiple equivalents, for example:

2:1

4:2

6:3

5:10

...

The 1st number will always be double of the 2nd number,

2 is double of 1

4 is double of 2

6 is double of 3

...

9 is not double of 5.

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ABC and EDC are straight lines. EA is parallel to DB. EC = 8.1 cm. DC = 5.4 cm. DB = 2.6 cm. (a) Work out the length of AE. cm (
harkovskaia [24]

By applying the knowledge of similar triangles, the lengths of AE and AB are:

a. \mathbf{AE = 3.9 $ cm}\\\\

b. \mathbf{AB = 2.05 $ cm} \\\\

<em>See the image in the attachment for the referred diagram.</em>

<em />

  • The two triangles, triangle AEC and triangle BDC are similar triangles.
  • Therefore, the ratio of the corresponding sides of triangles AEC and BDC will be the same.

<em>This implies that</em>:

  • AC/BC = EC/DC = AE/DB

<em><u>Given:</u></em>

EC = 8.1 $ cm\\\\DC = 5.4 $ cm\\\\DB = 2.6 cm\\\\AC = 6.15 $ cm

<u>a. </u><u>Find the length of </u><u>AE</u><u>:</u>

EC/DC = AE/DB

  • Plug in the values

\frac{8.1}{5.4} = \frac{AE}{2.6}

  • Cross multiply

5.4 \times AE = 8.1 \times 2.6\\\\5.4 \times AE = 21.06

  • Divide both sides by 5.4

AE = \frac{21.06}{5.4} = 3.9 $ cm

<u>b. </u><u>Find the length of </u><u>AB:</u>

AB = AC - BC

AC = 6.15 cm

To find BC, use AC/BC = EC/DC.

  • Plug in the values

\frac{6.15}{BC} = \frac{8.1}{5.4}

  • Cross multiply

BC \times 8.1 = 6.15 \times 5.4\\\\BC = \frac{6.15 \times 5.4}{8.1} \\\\BC = 4.1

  • Thus:

AB = AC - BC

  • Substitute

AB = 6.15 - 4.1\\\\AB = 2.05 $ cm

Therefore, by applying the knowledge of similar triangles, the lengths of AE and AB are:

a. \mathbf{AE = 3.9 $ cm}\\\\

b. \mathbf{AB = 2.05 $ cm} \\\\

Learn more here:

brainly.com/question/14327552

3 0
2 years ago
Denise makes three times as many chocolate cupcakes as vanilla cupcakes. She also makes three dozen strawberry cupcakes. If Deni
slamgirl [31]

Answer:

6 dozens

Step-by-step explanation:

Vanilla, v = x

Chocolate, c = 3x

Strawberry, s = 3 dozens = 36

Total cupcakes = 132

Hence,

x + 3x + 36 = 132

4x = 96

x = 96 / 4

x = 24

Chocolate = 3 * 24 = 72

Dozens of chocolate = 72 /12 = 6 dozens

7 0
3 years ago
Which of the following pairs of fractions are equivalent?
AlekseyPX
D: 1/6 * 2 = 2/12

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3 0
3 years ago
Which statement is true? 5 6 8 27 을 ll &lt; - 3 8 4 8 6 6
Neko [114]
Fractions

We are going to be checking each statement in order to find which of them are correct:

<h2>5/6 < 6/8 - 5/6 is smaller than 6/8</h2>

We can see that in the drawing 3/8 is smaller than 5/6. Then this statement is false.

<h2>4/6 < 5/8 - 4/6 is smaller than 5/8</h2>

We can see that in the drawing 5/8 is smaller than 4/6. Then this statement is false.

<h2>2/6 = 3/8 - 2/6 is equal to 3/8</h2>

We can see that in the drawing 3/8 is bigger than 2/6. Then this statement is false.

<h2>3/6 = 4/8 - 3/6 is equal to 4/8</h2>

We can see that in the drawing 4/8 is equal to 3/6. Then this statement is true.

<h2>Answer: 3/6 = 4/8</h2>

6 0
1 year ago
In 2 + In 8 - In 4<br> In 4<br> In 6<br> In 64<br> DONE
Alex

Answer:

ln 4

Step-by-step explanation:

plus(+) will become times and minus(-)will become divide. Combine all together as all are in terms of ln

ln (2x8)/4

=ln 4

7 0
3 years ago
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