All categories

2 years ago

Pls help me in this khan academy exercise

Mathematics

1 answer:

sweet-ann [11.9K]2 years ago

6 0

Answer:

x= 180° - (103°+33°)

x= 180° - 136°

x= 44°

You might be interested in

A circle has a circumference of 907.46 What is the diameter of the circle?

mafiozo [28]

The diameter would be d≈288.85!

I hope this helped! Brainliest? :) -Raven❤️

7 0

3 years ago

Which of these is an example of multi-stage sampling?

zlopas [31]

Answer:

The answer is D.) Choosing New York as a sample, then selecting a sample of zip codes within New York, then sampling the names of people living in those zip codes.

Explanation:

When you use multistage sampling, you take a sample from a population by breaking it down into smaller and smaller groupings (units) at each stage. It's frequently used in nationwide surveys to collect data from a big, geographically dispersed group of people. I hope I helped! ^-^

5 0

3 years ago

Put the following equation of a line into slope-intercept form, simplifying all fractions.

Archy [21]

Answer:

Step-by-step explanation:

8 0

3 years ago

Find the exact values of sin2 θ for cos θ = 3/18 on the interval 0° ≤ θ ≤ 90°

mote1985 [20]

Answer:

$sin(2\theta)=\frac{\sqrt{35} }{18}$

Step-by-step explanation:

Recall the formula for the sine of the double angle:

$sin(2\theta)=2*sin(\theta)*cos(\theta)$

we know that $cos(\theta)=\frac{3}{18}$ , and that $\theta$ is in the interval between 0 and 90 degrees, where both the functions sine and cosine are non-negative numbers. Based on such, we can find using the Pythagorean trigonometric property that relates sine and cosine of the same angle, what $sin(\theta)$ is:

$cos^2(\theta)+sin^2(\theta)=1\\sin^2(\theta)=1-cos^2(\theta)\\sin(\theta)=\sqrt{1-cos^2(\theta)} \\sin(\theta)=\sqrt{1-(\frac{3}{18} )^2}\\sin(\theta)=\sqrt{1-\frac{9}{324} }\\sin(\theta)=\sqrt{\frac{324-9}{324} }\\sin(\theta)=\sqrt{\frac{315}{324} }\\\\sin(\theta)=\frac{3}{18}\sqrt{35 }$

With this information, we can now complete the value of the sine of the double angle requested:

$sin(2\theta)=2*sin(\theta)*cos(\theta)\\sin(2\theta)=2*\frac{3}{18} \,\sqrt{35} \,\frac{3}{18}\\sin(2\theta)=\frac{2*3*3}{18*18}\,\sqrt{35} \\sin(2\theta)=\frac{\sqrt{35} }{18}$

6 0

3 years ago

Which equation represents a line that intersects the line 2y − 4x = 3? A.-2y + 4x = 1 B. 3y − 6x = 6.5 C. y − 2x = 3 D. -2y − 4x

irga5000 [103]

Convert all the equations to slope-intercept form:
$2y-4x=3 \ \ \ |+4x \\
2y=4x+3 \ \ \ |\div 2 \\
y=2x+\frac{3}{2}$

$A. \\
-2y+4x=1 \ \ \ |-4x \\
-2y=-4x+1 \ \ \ |\div (-2) \\
y=2x-\frac{1}{2} \\ \\
B. \\
3y-6x=6.5 \ \ \ |+6x \\
3y=6x+6.5 \ \ \ |\div 3 \\
y=2x+\frac{13}{6}$

$C. \\
y-2x=3 \ \ \ |+2x \\
y=2x+3 \\ \\
D. \\ 
-2y-4x=3 \ \ \ |+4x \\
-2y=4x+3 \ \ \ |\div (-2) \\
y=-2x-\frac{3}{2}$

Lines A, B and C have the same slope as the line 2y-4x=3, so they are parallel and don't intersect it.
Line D has another slope, so it intersects the line 2y-4x=3.
The answer is D.

3 0

4 years ago