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diamong [38]
4 years ago
11

Which angle has a sine of −12 and a cosine of −3√2 ? A 7π6 B 4π3 C 5π6 D 5π3

Mathematics
1 answer:
kobusy [5.1K]4 years ago
6 0

Answer:

A. 7π/6.

Step-by-step explanation:

I think you mean a sine of -1/2  and cosine of -√3/2   ( the values in the question are not possible)

Angle  π/6 has a sine of  1/2 and a cosine of √3/2  ( from the 30-60-90 triangle).

This angle must be in the third quadrant because the sin and cos are negative.

So the answer is π +π/6 = 7π/6.

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Find the equation of the graphed line and select the best answer from the choices provided.​
klemol [59]

Answer:

D

Step-by-step explanation:

The y-intercept must be at -7, so that eliminates C.

Because of the direction of the line, the slope needs to be negative. This eliminates B.

The slope of the line is -7/6, so D is the correct answer.

6 0
3 years ago
Find a number which is when added to its square the sum will be 72​
34kurt

Answer:

8

Step-by-step explanation:

8 + 8 x 8 = 8 + 64 = 72

Hope that helps!

8 0
3 years ago
In which form is the following function written?<br><br> y+20=8(x+7)^2
Wewaii [24]

Answer:

  (a variation of) vertex form

Step-by-step explanation:

For vertical scale factor "a" and vertex (h, k), the vertex form of the equation for a parabola can be written as ...

  y = a(x -h)^2 +k

If k is subtracted from this equation, an alternate form is ...

  y -k = a(x -h)^2

This latter version of vertex form is the form your equation has, where ...

  • a = 8
  • (h, k) = (-7, -20)

7 0
3 years ago
The data below shows the points scored and minutes played by six basketball players during the 2004-2005 season. The least squar
k0ka [10]

We assume data and prediction as question is incomplete

Answer and Step-by-step explanation:

Least squares regression line equations are used to model the relationship that exists between two variables, dependent and independent variables. The equation has the form y=a+bx where y is the dependent variable and x is independent variable, a is a constant and is the y intercept and b is the slope of the line. This relationship is then used to predict future outcomes.

Given that data for 2004-2005 for the basketball players are :

James- 20 points

John- 30 points

Chris- 50 points

Dave-15 points

Donaldson- 32 points

Richard -40 points

We predict the scores/points for James (for example) for the following year using the equation of the regression line y=0.79x+1544

We substitute his points x=20 I'm the equation:

Y=0.79*20+1544

=1599.8

The predicted value is 1599.8

5 0
3 years ago
in the circl below, AD is diameter and AB is tangent at A. Suppose mADC=228*, find the measures of mCAB and mCAD. Type your nume
Andrew [12]

Given:

AD is diameter of the circle, AB is the tangent, and measure of arc ADC is 228 degrees.

To find:

The m\angle CAB and m\angle CAD.

Solution:

AD is diameter of the circle. So, the measure of arc AD is 180 degrees.

m(arcADC)=m(arcAD)+m(arcDC)

228^\circ=180^\circ+m(arcDC)

228^\circ-180^\circ+=m(arcDC)

48^\circ+=m(arcDC)

The measure inscribed angle is half of the corresponding subtended arc.

m\angle CAD=\dfrac{1}{2}\times m(arcDC)

m\angle CAD=\dfrac{1}{2}\times 48^\circ

m\angle CAD=24^\circ

AB is the tangent. So, m\angle BAD=90^\circ because radius is perpendicular on the tangent and the point of tangency.

m\angle BAD=m\angle CAB+m\angle CAD

90^\circ=m\angle CAB+24^\circ

90^\circ -24^\circ=m\angle CAB

66^\circ=m\angle CAB

Therefore, m\angle CAB=66^\circ and m\angle CAD=24^\circ.

4 0
3 years ago
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