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2 years ago

A.22 B.68 C.118 D.119

Mathematics

1 answer:

rjkz [21]2 years ago

4 0

See the attached picture:

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The formula for the area of a sector with a central angle in radians is ?

zlopas [31]

$S= \frac{r^2*\alpha}{2}$

4 0

2 years ago

katen-ka-za [31]

Answer:

x = 4/7

y = 60/7

Step-by-step explanation:

3x + 4y = 36

y = x + 8

Substitute the second equation into the first since it already has the y isolated for you:

3x + 4(x + 8) = 36

3x + 4x + 32 = 36

7x = 4

x = 4/7

Take the answer you got from the equation above and plug that into the second equation:

y = 4/7 + 8

y = 60/7

To check just LS/RS both equations:

3(4/7) + 4(60/7) = 36

12/7 = 240/7 = 36

252/7 = 36

36 = 36

LS = RS

60/7 = 4/7 + 8

60/7 = 60/7

LS = RS

8 0

2 years ago

Evaluate 6^-2 a) -1/36 b)4 c) 1/36 d)-12

inessss [21]

${6}^{ - 2} \\ \frac{1}{ {6}^{2} } \\ \frac{1}{36}$

The answer is C

4 0

2 years ago

Read 2 more answers

What is the sum? 3 y / Y 2 + 7 y + 10 + 2 / y + 2

kap26 [50]

Answer:

5/(y+5)

Step-by-step explanation:

Perhaps you want the sum ...

$\dfrac{3y}{y^2+7y+10}+\dfrac{2}{y+2}\\\\=\dfrac{3y}{(y+2)(y+5)}+\dfrac{2(y+5)}{(y+2)(y+5)}=\dfrac{3y+2(y+5)}{(y+2)(y+5)}\\\\=\dfrac{5y+10}{(y+2)(y+5)}=\dfrac{5(y+2)}{(y+2)(y+5)}=\boxed{\dfrac{5}{y+5}}$

_____

Comment on rational expressions

When writing ratios in plain text, it is imperative to put parentheses around numerators and denominators. (If the numerator is a product only, then parentheses are optional.)

Your expression might be properly written as ...

3y/(y^2 +7y +10) +2/(y+2)

As you have written it, it simplifies to ...

3(y/y)2 +7y +10 +2/y +2 = 3·2 +7y +2/y +12

= 7y +2/y +18

Please note, too, the exponentiation symbol (^).

6 0

2 years ago

GCF of 9ab^2 and 6bc^2

Alchen [17]

For this case we have that by definition, the GCF (Greatest Common Factor) is the largest integer that divides the numbers.

We have the following expressions:

$9ab ^ 2\\6bc ^ 2$

We find the factors of 9 and 6:

$9: 1,3,9\\6: 1,2,3,6$

Thus, the largest number that divides 9 and 6 is 3

It is also observed that "b" is the common variable of both expressions

Therefore, the GCF of the expressions is:

$3b$

Answer:

$3b$

8 0

3 years ago