Answer:
5.0 ft - 5.6 ft
Step-by-step explanation:
Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.
Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;
Tan α = opposite side length/adjacent length
Tan 40°= h/8
h= 8 tan 40° = 6.71 ft
Applying the cosine of an angle formula to find the length of the sliding side
Cosine β = adjacent length /hypotenuse
Cosine 40°= 8/ sliding side length
sliding side length = 8/cosine 40° =10.44 ft
Checking the perimeter = 10.44 +8+6.71= 25.15 ft
This is more than the total lengths of the boards, so you need to adjust the height as;
24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft
h≤ 5.6 ft
Answer:
x>6
Step-by-step explanation:
2x > 16-4
x > 12/2
x > 6
Answer:
-5 and 17
Step-by-step explanation:
The sum of two numbers (let's just say number a and number b) is 12.
a + b = 12
The difference between the same two numbers (still a and b) is 22.
b - a = 22
(Move variable a to the right side to get the following.)
b = 22 + a
(This way, we can substitute b = 22 + a into the first equation, a + b = 12, and solve.)
a + (22 + a) = 12
a + a + 22 = 12
2a = -10
a = -5
a + b = 12
-5 + b = 12
b = 17
Answer:
Sum of volumes = (16.6 ± 0.03) cm³
Difference of volumes = (3.8 ± 0.03) cm³
Step-by-step explanation:
Solution
V₁ = (10.2 ± 0.02) cm³ and V₂ = (6.4 ± 0.01) cm³.
∆V = ± (∆V₁ + ∆V₂)
= ± (0.02 + 0.01) cm³
= ± 0.03 cm³
V₁ + V₂ = (10.2 + 6.4) cm³ = 16.6 cm³ and
V₁ - V₂ = (10.2 - 6.4) cm³ = 3.8 cm³
Hence, sum of volumes = (16.6 ± 0.03) cm³
and difference of volumes = (3.8 ± 0.03) cm³
<u>-TheUnknownScientist</u>
Answer:
287.9
Step-by-step explanation:
4 or less let it rest 5 or more add one more
