Answer:
Length is 7.7 and width is 9.2
Step-by-step explanation:
The length and width of the rectangle will be the y and x coordinate of the diagonal line at angle of 40 degrees
Length L = dsin theta
Width W = d coos theta
d is the length of the diagonal
Given
d = 12
theta = 40°
Substitute
Length = 12sin40°
Length = 12(0.6428)
Length = 7.7135
Length ≈ 7.7
Width = 12cos 40
Width = 12(0.7660)
Width = 9.192
Width = 9.2
Hence the length is 7.7 and width is 9.2
Hi there!
1/3x = 6
Begin by multiplying both sides by 3 to cancel the fraction:
1/x = 18
Take the reciprocal of both sides:
x = 1/18
Answer:
25 years
Step-by-step explanation:
To find the mean you need to find the sum of all numbers and divide by the number of terms there are.
In this case you would need to multiply the mean ages by the number of people used to find the mean:
35 * 3 = 105
23 * 12 = 276
Then add the total ages together:
105 + 276 = 381
Then divide by the number of total people in the office:
12 + 3 = 15
381/15 = 25.4
rounded to 25
The average is 4 and the standard deviation is 0.34. :)
You are basically trying to find the area of two triangles and a rectangle.
Rectangle= A= length*width
Triangle= A= 1/2*base*height
Rectangle:
1.5*1.9= 2.85
Two triangles:
A= 1/2* 0.5*1.5
A=1/2*.75
A=0.375
Multiply that by two, because the triangles are the same.
.75
.75+2.85= 3.6
3.60 ft^2 <== the answer :)
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