Answer:
Your answer: 676
Step-by-step explanation:
To get the answer, we can divide 56 by 5 to find one fifth of the cats. Then, we can multiply this number to get four fifths of the cats. Then, we put this number over 90 since there is 90 pets in the entire show. Then, this answer ends up being about half all of the pets are calicos.
Answer:
14 miles.
Step-by-step explanation:
Let the distance traveled from home to destination = x miles.
Speed while going to friend's house = 35 miles per hour.
Speed while coming back = 40 miles per hour.
Total Time taken for the journey = 45 minutes = 0.75 hours.
Let the time taken while going to friend's house = y hours.
Therefore, the time taken while going to friend's house = (0.75 - y) hours.
To find x and y, model the speeds of both the journeys.
Speed while going to friend's house = Distance/Time.
35 = x/y.
x = 35y (Equation 1).
Speed while coming back = Distance/Time.
40 = x/(0.75 - y).
x = 40(0.75 - y) (Equation 2).
Since x = x, therefore:
35y = 30 - 40y.
75y = 30.
y = 30/75.
y = 0.4 hours.
Put y = 0.4 hours in Equation 1:
x = 35y.
x = 35(0.4).
x = 14.
Therefore, the distance between my friend's house and my house is 14 miles!!!
I dont have the * exact answer * but i got 11 or 12. Hope this helps :))
Answer:
x = 10 , 45 degrees.
Step-by-step explanation:
This seems a tricky one .
I guess we can use sin A + sin B = 2 sin (A+B)/2 cos (A - B) / 2
so sin 5x + sin x = 2 sin 3x cos 2x so our equation becomes
2 sin 3x cos 2x - cos 2x = 0
cos 2x ( 2 sin 3x - 1) = 0
so 2 sin 3x = 1
sin 3x = 1/2
giving 3x = 30 degrees and x = 10 degrees
or cos 2x = 0
so 2x = 90
giving x = 45 degrees.
