We can solve this problem by calculating the individual rate of working and equate it to their total rate of working.
If Dave can complete a sales route in 4 hours, then his working rate is

Also, if James can do it in 5 hours, then his working rate is

Let

be the hours that both will use to complete the sales route,
Then rate at which both completes this task is

Meaning if we add their individual rates we should get

That is;

The LCM is

So let us multiply through with the LCM.


We simplify to get,

Dividing through by 9 gives;


Therefore the two will complete sales route in

hours.
C. 9 square roots of 2
To answer this question, it's super important that you understand the ratio of sides for special triangles. This triangle in particular, a 45-45-90 triangle, has a ratio between the legs and hypotenuse of 1:1:
Since we are given the value of the hypotenuse, we know that the value of the two sides multiplied by
will be 18. Knowing this, we can write out an equation:
u*
= 18
u = 
<u>Multiply both sides by </u>
<u> in order to get rid of the root in the denominator:</u>
u = 
u = 
u = 9
If you'd like me to explain how I got to the answer any further, just ask!
- breezyツ
Answer:
<u>Sebastian is 3.8 miles away from his house.</u>
Step-by-step explanation:
4.5 - 2.4 + 1.7
2.1 + 1.7
= 3.8
- Sebastian is 3.8 miles away from his house.
Triangle HAM looks like an isosceles triangle, and we know that in an isosceles triangle 2 of the angles are the same.
so :
180 - 106 = 74 ( sum of the other 2 angles )
74/2 = 37 ( sum of angle HMA / HAM )
angles on a straight line add up to 180.
180-37=143 ( angle x )
since triangle YMH is also an isosceles,
180-37=143
143/2=71.5 ( angle w )
Answer:
-12x - 4
Step-by-step explanation:
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