smelcher3900
01.07.2021 •
Mathematics
a rectangle box has length 12 inches, width 15 inches, and a height of 17 inches. Find the angle between the diagonal of the box and the diagonal of its base. The angle should be measured in radiands
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Ответ:
0.7246 radians
Step-by-step explanation:
According to the Question,
Given that, a rectangle box has length 12 inches, width 15 inches, and a height of 17 inches
The length of the base diagonal (d) can be found using the Pythagorean theorem on length and width:d = √{ (12)² +(15)² } = √(144+225) = √369inches
The tangent of the angle is the ratio of the height of the box to this lengthTan∅ = 17/√369
Taking the , we have
∅ = (17/√369) ≈ 0.7246 radians
Ответ:
Statement 1 : True
Statement 2: False
Statement 3: False
Statement 4:True
Statement 5:False
Statement 6:True
Step-by-step explanation:
Given :
To Find: Which statements about the system are true?
Solution:
Slope intercept form:
where m is the slope
Convert the given equations in slope intercept form
Equation 1:
--A
On comparing with general form
Slope = m =
Equation 2:
--B
On comparing with general form
Slope = m = 1
Substitute the value of x form B in A
Substitute the value of y in B to get value of x
Thus the solution is (0,5)
Thus The system has one solution.
So, Statement 1 is true
Since the slopes of the given lines are not same so the lines are not parallel
Thus the statement 2 is false.
Slope of line 1 is and slope of line 2 is 1
Since the slopes are not same
So, statement 3 is false.
Equation 1:
To find y intercept substitute x =0
Equation 2:
To find y intercept substitute x =0
So,statement 4 is true Both lines have the same y-intercept.
Statement 5: The equations graph the same line.
Statement 5 is false (refer the attached graph)
Statement 6 is true The solution is the intersection of the 2 lines (refer the attached graph)