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3 years ago

Angle 1 is 3 times angle 2. Find angle 2

Mathematics

1 answer:

nordsb [41]3 years ago

6 0

Angle 2 is 40 degrees

Explanation:
A straight line is always 180 degrees, they gave us 160 degrees so you just subtract 180-160 to get 20 degrees for angle 3.

Since that angle is a part of the triangle and we’re only focusing on angles 1 and 2, subtract 20 from 180 since a triangle is 180 degrees.

Then you get 160, divide that by 4 to get 40 degrees, multiply 40 by 3 to get angle 1 which is 120. 120+20 (20 from angle 3) gives us 140. 180-140 is 40 degrees which is angle 2.

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A car drove 10/45 miles in 0.4 hours. How fast was the car traveling in miles per hour?

BARSIC [14]

Answer:

1.2 hours equal to 30mph

Step-by-step explanation:

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3 years ago

Rationalize the denominator of square root of negative 9 over open parentheses 4 minus 7 i close parentheses minus open parenthe

svetlana [45]

First we combine the parenthesis to get 9/(-2-i) then we multiply both the numerator and the denomenator by the conjugate of -2-i (whic is -2+i) to get (-18+9i)/5

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4 years ago

Which point is part of the solution of the inequality y 2 12x – 11.

Papessa [141]

Answer:

Point (0,0)

Step-by-step explanation:

Given the inequality y > 12x – 11.

We will check which of the given options will be applied for the inequality

A) (1,0)

Substitute with x = 1 and y = 0

0 > 12*1 - 11

0 > 1 ⇒ Wrong

So, Point (1,0) is not part of the solution of the inequality.

B) (3,2)

Substitute with x = 3 and y = 2

2 > 12*3 - 11

0 > 25 ⇒ Wrong

So, Point (3,2) is not part of the solution of the inequality.

C) (1,1)

Substitute with x = 1 and y = 1

1 > 12*1 - 11

1 > 1 ⇒ Wrong

So, Point (1,1) is not part of the solution of the inequality.

D) (0,0)

Substitute with x = 1 and y = 0

0 > 12*0 - 11

0 > -11 ⇒ True

So, Point (0,0) is part of the solution of the inequality.

Also, see the attached figure which represents the given inequality

The shaded area represents the solution of the inequality, and we can note that point (0,0) is part of the solution of the inequality

5 0

3 years ago

Find values of  that satisfy the equation for 0º    360º and 0  θ  2 . Give answers in degrees and radians.

suter [353]

Answer:

$\theta = 30^\circ, 330^\circ$

$\theta = \frac{\pi}{6}, \frac{11\pi}{6}$

Step-by-step explanation:

Given [Missing from the question]

Equation:

$cos\theta = \frac{\sqrt 3}{2}$

Interval:

$0 \le \theta \le 360$

$0 \le \theta \le 2\pi$

Required

Determine the values of $\theta$

The given expression:

$cos\theta = \frac{\sqrt 3}{2}$

... shows that the value of $\theta$ is positive

The cosine of an angle has positive values in the first and the fourth quadrants.

So, we have:

$cos\theta = \frac{\sqrt 3}{2}$

Take arccos of both sides

$\theta = cos^{-1}(\frac{\sqrt 3}{2})$

$\theta = 30$ --- In the first quadrant

In the fourth quadrant, the value is:

$\theta = 360 -30$

$\theta = 330$

So, the values of $\theta$ in degrees are:

$\theta = 30^\circ, 330^\circ$

Convert to radians (Multiply both angles by $\pi/180$ )

So, we have:

$\theta = \frac{30 * \pi}{180}, \frac{330 * \pi}{180}$

$\theta = \frac{\pi}{6}, \frac{33 * \pi}{18}$

$\theta = \frac{\pi}{6}, \frac{11 * \pi}{6}$

$\theta = \frac{\pi}{6}, \frac{11\pi}{6}$

8 0

3 years ago

given the following information about two loaded die, what is the p(5) on die 2? die 1p(1) = 0.5 p(4) = 0.25 p(6) = 0.25 die 2p(

bagirrra123 [75]

Answer:

0.45

Step-by-step explanation:

Die 1 is loaded so that only 1, 4, and 6 are possible.

P(1) + P(4) + P(6) = 0.5 + 0.25 + 0.25 = 1

Similarly, Die 2 is loaded so that only 2, 3, and 5 are possible.

P(2) + P(3) + P(5) = 1

0.3 + 0.25 + P(5) = 1

P(5) = 0.45

3 0

3 years ago