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emmainna [20.7K]

3 years ago

8

A circle centered at the origin has a radius of 5 units. The terminal side of an angle, , intercepts the circle in Quadrant 3 at

point D. The x-coordinate of point D is -3, what is the value of sin θ?

1 answer:

rodikova [14]3 years ago

5 0

Answer:

sorry

Step-by-step explanation:

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Kaylis [27]

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sukhopar [10]

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blagie [28]

Answer:

10

Step-by-step explanation:

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3 years ago

Suppose systolic blood pressure of 17 year female is approximately distributed with a mean of 118mmHg and a standard deviation o

Artemon [7]

Answer:

a) 0.383

b) 0.375

Step-by-step explanation:

a) Calculate each z-score.

z = (x − μ) / σ

z₁ = (112 − 118) / 12 = -0.5

z₂ = (124 − 118) / 12 = 0.5

Use a calculator or z-score table to find the probability.

P(-0.5 < Z < 0.5) = 0.6915 − 0.3085 = 0.383

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8 0

3 years ago

3[x + 3(4x – 5)] = 15x – 24

Alex17521 [72]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{x = 0.875}}}}}$

Step-by-step explanation:

$\sf{3[ x + 3(4x - 5)] = 15x - 24}$

Distribute 3 through the parentheses

⇒ $\sf{3[ x + 12x - 15 ] = 15x - 24}$

Collect like terms : 12x and x

⇒ $\sf{3[ 13x - 15 ] = 15x - 24}$

Distribute 3 through the parentheses

⇒ $\sf{39x - 45 = 15x - 24}$

Move 15x to left hand side and change it's sign

Similarly, move 45 to right hand side and change it's sign

⇒ $\sf{39x - 15x = - 24 + 45}$

Collect like terms

⇒ $\sf{24x = - 24 + 45}$

Calculate

⇒ $\sf{24x = 21}$

Divide both sides of the equation by 24

⇒ $\sf{ \frac{24x}{24} = \frac{21}{24}}$

Calculate

⇒ $\sf{x = 0.875}$

Hope I helped!

Best regards! :D

5 0

3 years ago