Answer:
x = 61°
Step-by-step explanation:
Since the angles of 125° and 64° + x° are opposite each other in the same intersecting lines, they are equal.
Therefore, we could say that:
Now all we have to do is solve for x, by subtracting 65 from both sides of the equation:
1. The direction of the vector relative to the positive x-axis satisfies
2. A vector with magnitude and direction has component form
We have , but "angle of 60 degrees with the negative x-axis" is a bit ambiguous. I would take it to mean "60 degrees counterclockwise relative to the negative x-axis", so that the direction is . Then
But this doesn't match any of the options, so more likely it means the angle is 60 degrees clockwise relative to the negative x-axis, in which case and we'd get
3. Same as question 2, but now we're using notation. The vector has magnitude and its direction is . So the vector is
4. The velocity of the plane relative to the air, is 175 mph at 40 degrees above the positive x-axis. The velocity of the air relative to the ground, , is 35 mph at 60 degrees above the positive x-axis. We want to know the velocity of the plane relative to the ground, .
We use the relationship
Translating the known vectors into component form, we have
This vector has magnitude and direction
(or 43 degrees NE)
Answer:
38.5
Step-by-step explanation:
Lets say, first number = x
Second number = 3x+7
Total = 49
(x)+(3x+7)= 49
4x+7 = 49
4x = 42
x = 42/4
x= 10.5
x= 10.5
3x+7 = 3(10.5)+7 = 38.5
Hope this helps!!
Area of a triangle = 1/2bh
the height is 9 centimeters
multiply 36 with 2: 36 x 2 = 72
72/9 = 8
the length is 8 centimeters
hope this helps
Answer:
And we can find this probability using the normal standard distribution, excel or a calculator and we got:
And if we convert this into percent we got 84.13% rounded to the nearest percent would be:
84%
Step-by-step explanation:
Let X the random variable that represent the circumferences of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard distribution, excel or a calculator and we got:
And if we convert this into percent we got 84.13% rounded to the nearest percent would be:
84%