Please help Geometry Will give top answer for someone to answer correctly.

Mathematics

1 answer:

Setler79 [48]3 years ago

3 0

Answer:

Length of the minor arc AB = 5.27777777778 cm

Step-by-step explanation:

Here you would require a simple proportionality.

The ratio of the degree of the minor arc (95 degrees) over the total, 360 degrees of every circle, comparative to the length of the minor over the circumference (20 cm).

Here we can propose that the length of the minor can be equal to x.

Now let's substitute the known values:

95 / 360 = x / 20

Now cross multiply:

360 * x = 95 * 20 ⇒

360x = 1900 ⇒

x = 5.27777777778 ⇒

length of the minor arc AB = 5.27777777778 cm

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(x-2) is a factor of x^2-3x^2+kx+14. The value of k is?

BartSMP [9]

Answer:

k = 5

Step-by-step explanation:

I will assume that your polynomial is

x^2 - 3x^2 + kx + 14

If x - a is a factor of this polynomial, then a is a root.

Use synthetic division to divide (x - 2) into x^2 - 3x^2 + kx + 14:

2 / 1 -3 k 14

2 -2 2k - 4

-------------------------------------

1 -1 (k - 2) 2k - 10

If 2 is a root (if x - 2 is a factor), then the remainder must be zero.

Setting 2k - 10 = to zero, we get k = 5.

The value of k is 5 and the polynomial is x^2 - 3x^2 + 5x + 14

6 0

3 years ago

3. For the equation-4y = &r, what is the constant of variation? (1 point)<br> ООО<br> 02

alexandr1967 [171]

Answer:

3).

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4).

$y \alpha x \\ y = kx \\ where \: k \: is \: the \: constant \: of \: proportionality \\ when \: y = 24 \: and \: x = 8 \\ substitute \: in \: y = kx \\ 24 = 8k \\ k = \frac{24}{8} \\ k = 3 \\ value \: of \: constant = 3$

If it was by 10, k = 3 by 10

k = 30

5).

$general \: equation \: of \: line \\ y = mx + c \\ but \: m = \frac{2}{3} \: and \: c = 9 \\ substitute \: for \: m \: and \: c \: in \: y = mx + c \\ y = \frac{2}{3} x + 9 \\ alternatively \\ 3y = 2x + 27$