Write 906,000 in word form

Mathematics

2 answers:

KIM [24]3 years ago

7 0

Step-by-step explanation:

Nine hundred and six thousand

koban [17]3 years ago

4 0

Nine hundred-six thousand

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The measure of angle θ is 600°. . The point (x, y) corresponding to θ on the unit circle is? (___,___). the options for inside p

Ipatiy [6.2K]

Answer: C: -1/2 (x-coordinate) and A: - ∛3 / 2 (y-coordinate)

Explanation:

1) In the unit circle, the x and y - coordinates are the cosine and sine ratios, respectivle.

2) 600° corresponds to 600 - 360° = 240°.

3) 180° < 240° < 270° ⇒ the point is in the third quadrant.

Third quadrant ⇒ both x and y coordinates are negative, so D. cannot be a solution.

4) You can work with the supplementary angle to use notable angles:

240° - 180° = 60°

The sine and cosine of 60° are known:

sin 60° = ∛3 / 2, and cos 60° = 1/2.

5) In the unit circle the x-coordinate is the cosine of the angle, and the y-coordinate is the sine of the angle:

So, x = - 1/2 and y = - ∛3/2.

6) You can verify in a calculator; sin 240° = -0.866... and cos 240° = - 0.5.

Therefore, the answer is: A: - ∛3 / 2, for the y-coordinate, and C: - 1/2 for the x-coordinate.

6 0

4 years ago

Read 2 more answers

Solve the system using the substitution method<br> 3x-y=4<br> 5x+3y=9

rjkz [21]

First solve the first equation for 'y'
3x - y = 4 subtract 3x from both sides
-y = -3x + 4 divide both sides by -1
y = 3x - 4 Now take this equation and substitute into the second equation:

5x + 3y = 9
5x + 3(3x - 4) = 9
5x + 9x - 12 = 9
14x - 12 = 9
14x = 9 + 12
14x = 21
x = $\frac{21}{14} = \frac{3}{2}$ or 1.5
Now substitute this value for 'x' into either of the first two equations to find 'y'
I'll use the equation
y = 3x - 4
y = 3(1.5) - 4
y = 0.5

So your solution is (1.5, 0.5)

5 0

3 years ago

What is the simplified expression in standard form

Schach [20]

Answer:

$\boxed{\sf - 2 {p}^{2} - 11p - 35}$

Step-by-step explanation:

$\sf \implies - 2 {(p + 4)}^{2} - 3 + 5p \\ \\ \sf \implies - 2( {p}^{2} + 2(p)(4) + {4}^{2} ) - 3 + 5p \\ \\ \sf \implies - 2( {p}^{2} + 8p + 16) - 3 + 5p \\ \\ \sf \implies (( - 2) \times {p}^{2} ) + (( - 2) \times 8p) + ( ( - 2) \times 16) - 3 + 5p \\ \\ \sf \implies (- 2 {p}^{2} ) + ( - 16p ) + (- 32) - 3 + 5p \\ \\ \sf \implies - 2 {p}^{2} - 16p - 32 - 3 + 5p \\ \\ \sf \implies - 2 {p}^{2} + (- 16p + 5p) + ( - 32 - 3) \\ \\ \sf \implies - 2 {p}^{2} - 11p - 35$