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Akimi4 [234]
3 years ago
10

Which is the approximate circumference of a circle with a diameter of 60 cm?

Mathematics
1 answer:
Dima020 [189]3 years ago
8 0
The circumference is the diameter times pi.

d=60 \ [cm] \\ \\
C=60\pi \approx 60 \times 3.14=188.4 \approx 188 \ [cm]

The answer is D.
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Solve for y- 6y-1.5x=8
VARVARA [1.3K]

6y-1.5x=8\qquad\text{add 1.5x to both sides}\\\\6y=1.5x+8\qquad\text{divide both sides by 6}\\\\y=\dfrac{1.5}{6}x+\dfrac{8}{6}\\\\y=\dfrac{15}{60}x+\dfrac{4}{3}\\\\\boxed{y=\dfrac{1}{4}x+\dfrac{4}{3}}

8 0
3 years ago
Given the polynomial 2x3 18x2 − 18x − 162, what is the value of the constant 'k' in the factored form? 2x3 18x2 − 18x − 162 = 2(
oee [108]

The value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.

<h3>What is polynomial equation?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial equation in the problem is,

2x^3 +18x^2 - 18x - 162

The factor of the polynomial equation are given as,

2(x+ k)(x - k)(x +9)

First find out the factors to compare and find the value of k.The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor 2, which can divide each term of the above equation (2, 18, -18, -162). Thus,

2(x+ k)(x - k)(x +9)=2(x^3 +9x^2 - 9x - 81)

Take out the highest common factor to make the groups as,

2(x+ k)(x - k)(x +9)=2(x^2( x+9) - 9(x + 9))\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 9)\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 3^2)

Use the property of difference of the square for the (x²-3²) term as,

2(x+ k)(x - k)(x +9)=2( x+9) (x+3)(x-3)\\2(x+ k)(x - k)(x +9)=2 (x+3)(x-3)( x+9)

On comparing the two equation, we get the value of k as 3. Thus, the value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.

Learn more about factor of polynomial here;

brainly.com/question/24380382

7 0
2 years ago
What is 3 divided 162
dmitriy555 [2]

Answer:

0.185185185185185185.........

Step-by-step explanation:

i used a  calculator, to the nearst tenth is 0.18 to the nearest 100th is 0.185 also the 185 is repeating so u put a line over the numbers 185

4 0
3 years ago
Read 2 more answers
Juan’s age is 5 years more than twice Margo’s age. The sum of their ages is 29 years. Find their ages
Brut [27]

x Margo's age

Jaun + Margo

(2x+5) + x = 29

3x = 24

x = 8, Margo's age. Jaun 21 2*8+5

And to check...

sum = 29


5 0
3 years ago
Wht is the answer to this equation 5(x-6)=2(x+3)
Y_Kistochka [10]

Answer:

x=12

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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