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3 years ago

The diameter of a circle is 34.8 inches. What is the distance from the center of the circle to the edge of the circle?

Mathematics

1 answer:

Phoenix [80]3 years ago

6 0

Answer:

the distance is the radius, so all we have to do is divide 34.8 by 2= 17.4

17.4 inches!

Step-by-step explanation:

Read more about base-ten units at:

brainly.com/question/12386995

7 0

2 years ago

Find the roots of:

Elena-2011 [213]

$\large\displaystyle\text{$\begin{gathered}\sf \pmb{1) \ 2x^3-7x^2+8x-3=0 } \end{gathered}$}$

Synthetic division is used since the equation is of the third degree. The divisors of -3 are 1, -1, 3, +3. So:

| 2 -7 8 -3

1 | 2 -5 3

| 2 -5 3 0

1 | 2 -3

2 -3 0

So the factorization is (x-1)² (2x-3)=0. So:

$\bf{ x_1=x_2=1 \qquad x_2=\dfrac{3}{2} }$

$\large\displaystyle\text{$\begin{gathered}\sf \pmb{2) \ x^3-x^2-4=0 } \end{gathered}$}$

Synthetic division is used since the equation is of the third degree. The divisors of -4 are 1, -1, 2, -2, 4, -4. So:

| 1 -1 0 -4

2 | 2 2

1 2 2 0

So the factorization is (x-2)(x²+x+2)=0 . When calculating the discriminant of the trinomial, it is concluded that it has no roots since the result is negative. So you only have one solution.

$\bf{ 1^2-4(2)(2)=1-16=-15 < 0 \quad \Longrightarrow \quad x=2 }$

$\large\displaystyle\text{$\begin{gathered}\sf \pmb{3) \ 6x^3+7x^2-9x+2=0 } \end{gathered}$}$

Synthetic division is used since the equation is of the third degree. The divisors of 2 are 1, -1, 2, -2. So:

| 6 7 9 2

-2 | -12 10 -2

6 -5 1 0

So the factorization is (x+2)(6x²-5x+1)=0 . The quadratic equation is solved by the general formula:

$\bf{ x_{2, 3}&=\dfrac{5\pm \sqrt{(5)^2-4(6)(1)}}{2(6)}=\dfrac{5\pm \sqrt{25-24}}{12}=\dfrac{5\pm 1}{12} }}$

$\large\displaystyle\text{$\begin{gathered}\sf \begin{matrix} x_1=-2&\ \ \ \ \ \ x_{2}=\dfrac{6}{12} \qquad &\ \ \ x_3=\dfrac{4}{12}\\ &\ \ \ x_2=\dfrac{1}{2} \qquad &x_3=\dfrac{1}{3} \end{matrix} \end{gathered}$}$

6 0

2 years ago

Which ratio is equivalent to 9/27 A. 6/9 B. 1/2 C. 1/3 D. 3/12

shusha [124]

The correct answer is c.

a.6/9

b.1/2

c.1/3

d.3/12

8 0

3 years ago

2x−9y=14 x=−6y+7 x= y=

Assoli18 [71]

Answer:

x =7, y = 0

Step-by-step explanation:

$2x - 9y = 14...(1) \\ \\ x = - 6y + 7...(2) \\ \\ from \: equation \: (1) \: and \: (2) \\ \\ 2( - 6y + 7) - 9y = 14 \\ \\ - 12y + 14 - 9y = 14 \\ \\ - 21y = 14 - 14 \\ \\ - 21y = 0 \\ \\ y = \frac{0}{ - 21} \\ \\ \huge \red{ y = 0} \\ \\ x = - 6 \times 0 + 7 \\ \\ x = 0 + 7 \\ \\ \huge \purple{x = 7}$

7 0

3 years ago

Use the protractor tool to measure the angle.

Aneli [31]

Answer: i belive its 140 i really coudn't tell.

Step-by-step explanation:

I used the protactor and I aligned it agaist the problem. Hope this helps. :)

By that i meant i got my protactor and I aligned it on the tiny dot you can see, the arrow pointed onto the number. I really don't think there is much to explain. If their is any confusion i will re-write it.

6 0

2 years ago