Answer:
Step-by-step explanation:
The graph of the cosine function can be obtained by shifting the sine function to the left by units.
The given cosine function is:
When we shift this function to the left by units, we obtain a sine function
These two functions have the same graph
The second option is correct.
Answer:
1. 30(8.75) + 11t = 400
2. 12.5 hours
Step-by-step explanation:
1. What is given is you work for 30 hours per week at a gas station for $8.75 an hour. You also work as a landscaper for $11 an hour. You want to a make a total of $400 per week.
30 hours and $8.75 an hour would be equivalent to 30(8.75)
We don’t know how many hours you work as a landscaper but you earn $11 an hour, which is equivalent to 11t
Finally, you want to earn a total of $400 a week, which means the sum equals 400
30(8.75) + 11t = 400
2. 30(8.75) = 262.5
400 - 262.5 = 137.5
137.5 / 11 = 12.5
Answer:
Given below:)
Step-by-step explanation:
1) (x)(x+3)
2) (2x)(x-4)
3) (3x)(2+3x)
4) (4x^2)(3x+1)
I have factorised all of them by taking the common factor out of each
Triangular prism has 2 equilateral triangular faces as bases and 3 lateral rectangle faces.
the dimensions are as follows
equilateral triangle - sides - 4 inches each
height - 3.5 inches
area of 1 equilateral triangle - 1/2 x side x height
= 1/2 x 4 inches x 3.5 inches
= 7 sq.inches
As the base is an equilateral triangle, all 3 sides of the triangle are equal, hence, all the rectangles have the same breadth and height
rectangle - length - 5 inches
breadth - 4 inches
area of 1 rectangle = length x breadth
= 5 x 4 = 20 sq.inches
lateral area - area of the rectangle faces
= 20 x 3 rectangle faces
= 60 sq.inches
total surface area = base area + lateral area
= (area of triangles x2) + 60
= (7x2) + 60
total surface area = 74 sq.inches
See could have got the correct answer because if there was more numbers in the decimal you can round it to get .34 or because both answers have 12.3 and it doesnt matter about the other numbers after 3