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3 years ago

I need help w special right triangles

Mathematics

1 answer:

mr Goodwill [35]3 years ago

6 0

Answer:

14 rt2 * rt3= 28 rt3

Step-by-step explanation:

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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

Offering 20 points for this one need asap

kirill115 [55]

Answer:

y = 3x+.5

Step-by-step explanation:

We know the y intercept (the value when x=0) is .5

We can find the slope from 2 points

(0,.5) and (1,3.5)

m = (y2-y1)/ (x2-x1)

= (3.5-.5)/(1-0)

= 3/1

= 3

We can use y = mx+b since we know the slope and the y intercept

y = 3x+.5

5 0

3 years ago

If (-2,11)and(9,22) are two anchor points on the trend line, then find the equation of the line

Elza [17]

Answer:

The equation of the line is $y=x+13$

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

(-2,11) and (9,22)

substitute

$m=\frac{22-11}{9+2}$

$m=\frac{11}{11}$

$m=1$

step 2

Find the equation in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$m=1$

$point\ (-2,11)$

substitute in the equation and solve for b

$11=(1)(-2)+b$

$11=-2+b$

Adds 2 both sides

$b=11+2\\b=13$

The equation of the line is

$y=x+13$

4 0

3 years ago

1.6 m<br>2 m<br>4 m <br>area of a shape

Natasha_Volkova [10]

Answer:

the area is 8 square m

Step-by-step explanation:

4 x 2 = 8

3 0

3 years ago

6*10^5 is how many times as large as 3*10^3

fenix001 [56]

Answer: 200 times larger

Explanation (6*10^5)/(3*10^3)=2*10^2

2*100=200

The other answer was wrong because in order of operations (PEMDAS), exponents come before multiplication.

8 0

3 years ago