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never [62]
2 years ago
7

How many degrees is 7/4 of a semicircle?

Mathematics
1 answer:
Alexxandr [17]2 years ago
5 0

Answer:

315

Step-by-step explanation:

7/4 of 180°

= 1.75 * 180

= 315°

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The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)
Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}

Now, we have to find the quotient of the above expression.

So, here we go:

Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)

Now, we will divide the above simplest form with g(x):

\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2

Hence, the quotient is (x-2).


6 0
3 years ago
Read 2 more answers
Do not multiply by pi. Just use the whole number and do not try to include pi in the
IrinaK [193]

Answer:

Surface area = 1808.64in² and volume is 7234.56in³

Step-by-step explanation:

The figure above is a sphere, and it has a diameter of 24in

Radius = ?

Radius = diameter / 2

R = 24 / 2

R = 12in

Surface area of of sphere = 4πr²

Volume of a sphere = 4/3 πr³

π = 3.14

1. Surface area = 4 * 3.14 * 12²

Surface area = 4 * 3.14 * 144

Surface area = 1808.64in²

2. Volume of the sphere = 4/3πr³

Volume = 4/3 * 3.14 * 12³

Volume = 4/3 * 3.14 * 1728

Volume = 7234.56in³

The surface area of the sphere is 1808.64in² and the volume is 7234

56in³

4 0
3 years ago
Find the vertex of the function f(x) = x2 - 8x + 15.
defon

Answer: (4, -1)

Step-by-step explanation: You have to rewrite in vertex form and use the form to find the vertex

7 0
3 years ago
Evaluate for x = 2.<br><br> A. 4<br><br> B. 5<br><br> C. 6<br><br> D. 7
kakasveta [241]
I hope that A. Is the answer
7 0
3 years ago
How do you subtract the following fraction to find the solution?<br> 5 - 4/9
garri49 [273]
Here 5 - 4/9 
multiply 9 and divide 9 to 5. It gives 45/9.
Hence, above fraction becomes,
45/9 - 4/9 = (45 - 4) / 9 = 41 / 9
Hope it helps.
5 0
3 years ago
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