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3 years ago

7

A circle has the radius of 4 cm. Find the length s of the arc intercepted by a central angle of pie/4 radians.

1 answer:

alexgriva [62]3 years ago

3 0

Answer:

3.1 cm

Step-by-step explanation:

S = r × theta

S = 4 × pi/4

S = pi

S = 3.14 cm

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Write at least 2 numerical expressions for each written phrase below. Then, solve.

zloy xaker [14]

Answer:

a. $\frac{3}{5}(7)\text{ or }\frac{3\times 7}{5}$

b. $\frac{1}{6}(4\times 8)\text{ or }\frac{4\times 8}{6}$

Step-by-step explanation:

In numerical expressions we write numbers with the mathematical symbols ( i.e. '+', '-' etc )

a. Given phrase,

Three fifths of seven,

$\frac{3}{5}(7)$

$=\frac{3\times 7}{5}$

$=\frac{21}{5}$

$=4\frac{1}{5}$

b. One sixth the product of four and eight,

$\frac{1}{6}(4\times 8)$

$=\frac{4\times 8}{6}$

$=\frac{32}{6}$

$=5\frac{1}{3}$

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4 years ago

What is the probability that the first chip is unacceptable, and the second is acceptable? round the answer to four decimal plac

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4 years ago

What’s the solution for x-0= 0

Dominik [7]

I’m pretty sure it’s 0

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3 years ago

Ayuda con mates por favor

QveST [7]

Answer:

a) $x = -1$ and $y = 5$ , b) $x = 2$ and $y = -1$ , c) $x = -2$ and $y = 1$ , d) $x = 2$ and $y = -9$ , e) $x = 2$ and $y = -2$ , f) $x = 2$ and $y = -1$ , g) $x = 2$ and $y = -1$ , h) $x = 1$ and $y = 2$ .

Step-by-step explanation:

Each system is solved as follows (Cada sistema es resuelto como sigue):

a) $2\cdot x + y = 3$ and $3\cdot x - y = -8$

$y = 3 - 2\cdot x$

$3\cdot x - 3 + 2\cdot x = -8$

$5\cdot x = -5$

$x = -1$

$y = 5$

b) $x - 2\cdot y = 4$ and $-x+3\cdot y = -5$

$x = 4 + 2\cdot y$

$-4-2\cdot y+3\cdot y = - 5$

$-4+y = -5$

$y = -1$

$x = 2$

c) $-2\cdot x + 5\cdot y = 9$ and $x - y = -3$

$x = y-3$

$-2\cdot y +6 +5\cdot y = 9$

$3\cdot y = 3$

$y = 1$

$x = -2$

d) $5\cdot x - 4\cdot y = 2$ and $3\cdot x + 2\cdot y = -12$

$3\cdot x + 2\cdot y = -12$

$6\cdot x + 4\cdot y = -24$

$4\cdot y = -6\cdot x -24$

$5\cdot x +6\cdot x +24 = 2$

$11\cdot x = -22$

$x = 2$

$y = -9$

e) $x + y = 0$ and $2\cdot x +3\cdot y = -2$

$y = -x$

$2\cdot x -3\cdot x = -2$

$-x = -2$

$x = 2$

$y = -2$

f) $3\cdot x + 5\cdot y = 1$ and $x + y = 1$

$y = 1 - x$

$3\cdot x + 5 - 5\cdot x = 1$

$-2\cdot x = -4$

$x = 2$

$y = -1$

g) $5\cdot x - 2\cdot y = 12$ and $4\cdot x + 3\cdot y = 5$

$x = \frac{12+2\cdot y}{5}$

$x = \frac{5-3\cdot y}{4}$

$\frac{12+2\cdot y}{5} = \frac{5-3\cdot y}{4}$

$4\cdot (12+2\cdot y) = 5\cdot (5-3\cdot y)$

$48 + 8\cdot y = 25 - 15\cdot y$

$23\cdot y = -23$

$y = -1$

$x = 2$

h) $7\cdot x + 8\cdot y = 23$ and $3\cdot x + 2\cdot y = 7$

$3\cdot x + 2\cdot y = 7$

$12\cdot x + 8\cdot y = 28$

$8\cdot y = 28 - 12\cdot x$

$7\cdot x +28-12\cdot x = 23$

$-5\cdot x = -5$

$x = 1$

$y = 2$

8 0

3 years ago

What is the solution to this equation?

HACTEHA [7]

Answer:

Option 1 - X = 9

Step-by-step explanation:

The solution to this equation, x - 15 = - 6

Solving the following,

Step 1: x - 15 = -6

Replace all the numerical values in one side and x digits on the other side

Step 2: x = -6+15

Step 3: x = 9

Therefore, the value of x is 9.

6 0

3 years ago