Answer:
The angle
measures approximately 
Step-by-step explanation:
Since this problem involves the finding of an angle in a right angle triangle for which we know the opposite side and the adjacent side, the trigonometric function that relates them is the tangent:

Then, for our case we get a starting equation that reads:

and for which we need to solve for
. Then we use the arctangent function to get the final answer:

Answer:
1.67 hours
Step-by-step explanation:
Let the original speed of Jonathan =
units/hr
Let the original time taken by Jonathan =
hours
Let the distance =
units
Formula for distance is given as:

Given that half the distance is covered by original speed.

Half the distance is covered by increasing the rate by 25%.
i.e. increased speed:

Hence, Time taken:

Distance traveled is half of the total distance:

Dividing (1) by (2):

Answer:
a^2+11a+30
(a+5)(a+6)
Let me know if this helps!
Answer:
70 , 84 , 105
Step-by-step explanation:
sum their ages , 10 + 12 + 15 = 37
divide the amount by this sum to find the value of one part of the ratio.
259 ÷ 37 = 7 ← value of 1 part of the ratio , then
10 parts = 10 × 7 = 70 euros ← Tom's share
12 parts = 12 × 7 = 84 euros ← Mary's share
15 parts = 15 × 7 = 105 euros ← Bill's share