If "y in x" means the rise is y for a run of x (both in the same units), then the tangent of the angle is y/x.
... angle for 4 in 4 roof: arctan(4/4) = 45°
Yes, it is possible to have a 7 in 4 roof.
... angle for 7 in 4 roof: arctan(7/4) = 60.3°
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As long as the run is non-zero, the rise can be anything you like.
Answer:
210.33 cm^2
Step-by-step explanation:
We know that 6 equilateral triangles makes one hexagon.
Also, an equilateral triangle has all its sides equal.
If the tile of each side of the triangular tile measure 9 cm, then the height of the triangular tiles can be gotten using Pythagoras's Theorem.
The triangle formed by each tile can be split along its height, into two right angle triangles with base (adjacent) 4.5 cm and slant side (hypotenuse) of 9 cm. The height (opposite) is calculated as,
From Pythagoras's theorem,
substituting, we have
81 = 20.25 +
= 81 - 20.25 = 60.75
opp = = 7.79 cm this is the height of the right angle triangle, and also the height of the equilateral triangular tiles.
The area of a triangle =
where b is the base = 9 cm
h is the height = 7.79 cm
substituting, we have
area = x 9 x 7.79 = 35.055 cm^2
Area of the hexagon that will be formed = 6 x area of the triangular tiles
==> 6 x 35.055 cm^2 = 210.33 cm^2
Answer:
2
Step-by-step explanation:
3/8 = 2/8,1/4
Answer:
hello! :)
-167
Answer: 167
Step-by-step explanation:
First get X by itself.
substract 27 to each side
194=27-x
194= 27 -27 -x
194 - 27 = X
X= 167
Answer:
Step-by-step explanation:
The inverse relation
x y
5 -2
-3 4
1 6
-1 8
Answer:
t = 2.9272 > 1.708 at 25 degrees of freedom
null hypothesis is rejected
The council decides that it will increase the transportation budget if the amount of waiting time for drivers is not exceeds 18 minutes
Step-by-step explanation:
Step (i):-
A sample of 26 main roads results in a mean waiting time of 21.1 minutes with a sample standard deviation of 5.4 minutes.
Given sample size 'n' = 26
The mean of the sample 'x⁻ = 21.1 min
Standard deviation of the sample 'S' = 5.4 min
The Population mean 'μ' = 18min
Step(ii):-
Null hypothesis: H₀ : The council decides that it will increase the transportation budget if the amount of waiting time for drivers exceeds 18 minutes.
'μ' > 18min
Alternative hypothesis :H₁:
'μ' <18min
Level of significance : ∝=0.05
Degrees of freedom γ = n-1 = 26-1 =25
The test statistic
t = 2.9272
Step(iii):-
The tabulated value t = 1.708 at 25 degrees of freedom
t = 2.9272 > 1.708 at 25 degrees of freedom
Null hypothesis is rejected at 5% significance level of significance
Conclusion:-
The council decides that it will increase the transportation budget if the amount of waiting time for drivers is not exceeds 18 minutes