Answer:
17.32m ; 110°
Step-by-step explanation:
Distance between X and Z
To calculate the distance between X and Z
y^2 = x^2 + z^2 - (2xz)*cosY
x = 20, Z = 10
y^2 = 20^2 + 10^2 - (2*20*10)* cos60°
y^2 = 400 + 100 - (400)* 0.5
y^2 = 500 - 200
y^2 = 300
y = sqrt(300)
y = 17.32m
Bearing of Z from X:
Using cosine rule :
Cos X = (y^2 + z^2 - x^2) / 2yz
Cos X = (300 + 100 - 400) / (2 * 20 '*10)
Cos X = 0 / 400
Cos X = 0
X = cos^-1 (0)
X = 90°
Bearing of Z from X
= 20° + X
= 20° + 90°
= 110°
The answer is D. 4x + 3y = -6
I first found the slope using the slope formula. Then I plugged in the values of the given coordinate and the slope I found into the point slope form equation, then I simplified. Then I manipulated the equation to get x and y on the right side, and the constant on the left side. Finally, I multiplied both sides by 3 to get rid of the fraction.
Answer:
30/182 = 15/91.
Step-by-step explanation:
<u>PROBABILITY:</u> the likelihood of an event.
There are a total of 14 shirts in the basket.
Of the 14, 8 (8/14) of them are white, and 6 (6/14) of them are black.
The probability of picking a black shirt is 6 in 14, or 6/14.
The probability of picking a white shirt is 8 in 14, or 8/14.
<u>WITHOUT REPLACING:</u> This means that you take one without putting it back. (There will be one less).
6/14 × 5/13 = 30/182.
30/182 = 15/91.
Answer:
39
Step-by-step explanation:
Since you want to find the variable x all you have to do is simple subtraction.
The two numbers (61 and 22). Subtract those numbers and you get 39. Now it wants you to round to the jearest hundredth but there is no hundreds place so we can round to the nearest tenth. Which would be 30! Hope it helped... :)!
bye
