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Ivanshal [37]
3 years ago
15

Simplify: 5√3+4√12-2√75​

Mathematics
1 answer:
svlad2 [7]3 years ago
3 0

Answer:

8 + 5\sqrt{3}-10\sqrt{7}

Step-by-step explanation:

i just wrote 5\sqrt{3} as a decimal

times 2 with 4\sqrt{1} and

times 5 with -2\sqrt{7}

i might be wrong but hope this helps

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7/12 + 3/4 in simplest form?
Mariulka [41]
Well first we have to add 7/12 and 3/4 together which is 7/12+3/4=4/3. Now we have to reduce that to simplest form. Which would be 1 1/3 is 7/12+3/4 in simplest form!
4 0
3 years ago
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ramone has 5 difficult questions left to answer on a multiple choice test. Each question has 3 choices. For the first 2 of these
olchik [2.2K]
1. a b c
2. a b c
3. a b c
4. a b c
5. a b c

then she eliminated 1 choice in 1 and 2, say as follows

1.    b c
2. a b 
3. a b c
4. a b c
5. a b c

Probability of answering correctly the first 2, and at least 2 or the remaining 3 is 
P(answering 1,2 and exactly 2 of 3.4.or 5.)+P(answering 1,2 and also 3,4,5 )

P(answering 1,2 and exactly 2 of 3.4.or 5.)=
P(1,2,3,4 correct, 5 wrong)+P(1,2,3,5 correct, 4 wrong)+P(1,2,4,5 correct, 3 wrong)
also P(1,2,3,4 c, 5w)=P(1,2,3,5 c 4w)=P(1,2,4,5 c 3w )
so  
P(answering 1,2 and exactly 2 of 3.4.or 5.)=3*P(1,2,3,4)=3*1/2*1/2*1/3*1/3*2/3=1/4*2/9=2/36=1/18

note: P(1 correct)=1/2
         P(2 correct)=1/2
         P(3 correct)=1/3
         P(4 correct)=1/3
         P(5 wrong) = 2/3

P(answering 1,2 and also 3,4,5 )=1/2*1/2*1/3*1/3*1/3=1/108

Ans: P= 1/18+1/108=(6+1)/108=7/108
5 0
3 years ago
Mrs. McDonald's students have been working very hard during class, completing all class work and homework, and even attending tu
Natali5045456 [20]

Answer:

(13+83+85+87+90+91+93+97+98+99+100+100):12= 85,33

3 0
2 years ago
Lines e and f are parallel. The mAngle9 = 80° and mAngle5 = 55°. Parallel lines e and f are cut by transversal c and d. All angl
brilliants [131]

Answer:

(A)m\angle 2=125^\circ\\(C)m\angle 8=55^\circ\\(E)m\angle 14=100^\circ

Step-by-step explanation:

The diagram of the problem is drawn and attached.

Given that:

m\angle 9 =80^\circ\\m\angle 5 =55^\circ

m\angle 5+ m\angle 6=180^\circ\\55^\circ+ m\angle 6=180^\circ\\m\angle 6=180^\circ-55^\circ\\m\angle 6=125^\circ\\$Now:\\m\angle 6 = m\angle 2 $(Corresponging angles)\\Therefore m\angle 2=125^\circ\\

m\angle 5= m\angle 8=55^\circ $(Vertically Opposite Angles)

Also

m\angle 9+ m\angle 10=180^\circ\\80^\circ+ m\angle 10=180^\circ\\m\angle 10=180^\circ-80^\circ\\m\angle 10=100^\circ\\$Now:\\m\angle 10 = m\angle 14 $(Corresponging angles)\\Therefore m\angle 14=100^\circ\\

4 0
3 years ago
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H. Four businessman invested a sum of Rs.
balandron [24]

Answer:

The answers are in solutions.

Step-by-step explanation:

  • Four businessmen invested a sum of Rs. 250,000 in the ratio of 3:5:7:10 to start a new business.

(i) The amount invested by each businessman is;

<u>1^st businessman invested:</u>

<u />

\frac{3}{25}  * 250,000 = Rs. 30,000

<u>2^nd businessman invested:</u>

<u />

<u />\frac{5}{25} * 250,000 = Rs. 50,000

<u>3^rd businessman invested:</u>

<u />

<u />\frac{7}{25} *250,000 = Rs. 70,000

<u>4^th businessman invested:</u>

<u />

\frac{10}{25} *250,000 = Rs. 100,000

  • If they gained Rs. 50,000

(ii) The profit each one of them got is;

<u>1^st businessman got:</u>

<u />

<u />\frac{3}{25} * 50,000 = Rs. 6,000

<u>2^nd businessman got:</u>

<u />

<u />\frac{5}{25} *50,000 = Rs. 10,000

<u>3^rd businessman got:</u>

<u />

<u />\frac{7}{25} *50,000 = Rs. 14,000

<u>4^th businessman got:</u>

\frac{10}{25} *50,000 = Rs. 20,000

8 0
3 years ago
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