Answer:
The answer is 3.64m
This is because if you draw a diagram, and label all the sides of the triangle (opp, hyp, adj), the adjacent angle is 3m. You can now use the sine rule to find the hypotenuse (length of ladder) by doing: cos 30= 3/h. You divide cos 30 by 3 and you get the answer of 3.64m rounding to 2 decimal places.
Answer:
257.5 mph
332.5 mph
Step-by-step explanation:
The initial distance between the two planes is 960 miles, while the final distance (after t=1.5 h) is 75 miles, so the total distance covered by the two planes in 1.5h is
miles
Calling v1 and v2 the velocities of the two planes, we have the following equations:
(1)
--> velocity of plane 1 exceeds velocity of plane 2 by 75 mph
(2)
--> the total distance covered by the two planes is 885 miles (t=1.5 h is the time, and the products v1 t and v2 t represent the distance covered by each plane)
Substituting t=1.5 h, the second equation becomes:

By substituting (1) into this last equation, we find:

And substituting this back into eq.(1), we find

So, the speeds of the two planes are
257.5 mph
332.5 mph
Answer:
A. 1.45
Step-by-step explanation:
To get a decimal from a fraction, divide the numerator by the denominator.
22 divided by 15 -> 1.45
Answer:

Step-by-step explanation:
The problem is asking for the fraction to be divided by a whole number. This is equal to multiplying a fraction by the reciprocal of the whole number.


Then you can multiply like a regular multiplication problem

The final answer would be 
Answer:
a = -21 and b = 15
Step-by-step explanation:
It is given a matrix multiplication,
<u>To find the value of a and b
</u>
It is given that,
| 6 -5 | * | -1 | = | a |
|-3 4 | | 3 | | b |
We can write,
a = (6 * -1) + (-5 * 3)
= -6 + -15
= -2
1
b = (-3 * -1) + (4 * 3)
= 3 + 12
= 215
Therefore the value of a = -21 and b = 15