Answer:
X=20
Y=70
Step-by-step explanation:
All angles within a triangle add up to 180
180 - 40 = 140
140 is the top angle of the big triangle
140 + x + x = 180
x = 20
Now use x to find y by subtracting from the right angle (90 degrees)
90 - 20 = 70
70 + 40 + y = 180
Y = 70
Step-by-step explanation:
You have to do first and second derivatives :
y = a sin 3x + b cos 3x
dy/dx = 3a cos 3x - 3b sin 3x
d²y/dx² = - 9a sin 3x - 9b cos 3x
Next, you have to compare it :
let d²y/dx² = ky,
-9a sin 3x - 9b cos 3x = k(a sin 3x + b cos 3x)
-9(a sin 3x + b cos 3x) = k(a sin 3x + b cos 3x)
Therefore, k is equals to 9.
Answer:
1,138 steps
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Steps counted to school = 1,138
So, we can calculate the steps he take walking to school by using following formula,
Steps take walking to school = Steps he counted to school
So, Steps take walking to school = 1,138 steps
Hence, Esteban take 1,138 steps while walking to school.
Answer:
2880 packages/min
Step-by-step explanation:
48 × 60 = 2880
In July:
First week:
Number of people went to the local swimming pool =1040
Second week:
110 fewer people went to the pool than in the first week
so,
Number of people went to the local swimming pool =1040-110
=930
Third week:
130 more people went to the pool than in the second week
so,
Number of people went to the local swimming pool =930+130
=1060
Fourth week:
228 fewer people went to the pool than in the third week
so,
Number of people went to the local swimming pool =1060-228
=832
Decrease in number of people over four week= number of people in first week - number of people in fourth week
Decrease in number of people over four week=1040-832
=208
now, we can find percentage
Percentage is
=20%.........Answer
