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Hoochie [10]
3 years ago
9

71/3 - 21/4 (2 1/5 × 3/4) with working

Mathematics
2 answers:
Ainat [17]3 years ago
5 0
71/3 - 21/4 × (21/5 × 3/4)
⇒(71×4-21×3)/12 × (21×3/5×4)
⇒(284-63)/12 × (63/20)
⇒221/12 × 63/20
⇒(221×63)/(12×20)
⇒13923/240
∴71/3 - 21/4 × (21/5 × 3/4) = 13923/240
RideAnS [48]3 years ago
3 0

Answer:

15 1/240

Step-by-step explanation:

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In an arithmetic series, what is the sum of the first 22 terms if the first term is 12 and the common difference is 3?
Vilka [71]

Answer:

561

Step-by-step explanation:

an = dn - (a-d)

The difference is 3.

The first term is 12.

an = 3n - (12-3)

an = 3n - 9

Put n as 1, 2, 3, 4, 5 ....22.

3(1) - 9 = -6

3(2) - 9 = -3

3(3) - 9 = 0

3(4) - 9 = 3

3(5) - 9 = 6

...

3(22) - 9 = 57

Add the first 22 terms.

-6+-3+0+3+6+9+12+15+18+21+24+27+30+33+36+39+42+45+48+51+54+57

= 561

4 0
3 years ago
Which of the following trigonometric expressions is equivalent to csc(-112°)? csc(68°)
Romashka-Z-Leto [24]

Answer:

csc(-112°)=-csc(68°)

Step-by-step explanation:

Since cosec(x) and sin(x) are reciprocals of each other,

cosec(-112°)=\frac{1}{sin(-112^{\circ})}

                  =\frac{1}{-sin(112^{\circ})}

                 =\frac{1}{-sin(180^{\circ}-68^{\circ})}     (since 112=180-68)

                 =\frac{1}{-sin(68^{\circ})}              (since sin(180-x)=sinx)

                 =\frac{-1}{sin(68^{\circ})}               (since \frac{a}{-b}= \frac{-a}{b})

                 =-cosec(68°)

4 0
3 years ago
Read 2 more answers
Expand the following:<br> a.x(x+5)<br> b.x(3x-1)<br> c.2x(2x+3)<br> d.5x(x-3y)
trasher [3.6K]
It would A because that’s obviously the right answer.
8 0
3 years ago
I need some help please
Mama L [17]

Answer: 4

4 is the correct answer




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3 years ago
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levacccp [35]

Answer:

5 units

Step-by-step explanation:

You can use the distance formula or pythagorean theorem to solve this.

Original point A: (0,0)

New point B: (3, 4)

Distance formula: \sqrt{(x_{2}-x_{1})^{2}   +(y_{2}-y_{1})^{2} }

Plug the points in:

\sqrt{(3-0)^{2} +(4-0)^{2} } = 5

5 units

5 0
3 years ago
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