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:
N = 3
Step-by-step explanation:
If 6 = 1 and n = 1/2 then n is 1/2 of 6
6/2 = 3
Answer:
I think answer is 3
Step-by-step explanation:
BD = DA
BE = EC
Now, BD/BE = DA/EC
or, x + 5/2x = 4/3
or, 3x + 15 = 8x
or, 15 = 8x - 3x
or, 15 = 5x
or, 15/5 = x
or, 3 = x
Therefore x = 3 <u>Ans</u>
Answer:
409968000
Step-by-step explanation:
13 rounded years is equal to 409968000 seconds
Answer:
A Juan le quedan 45 empanadas.
Step-by-step explanation:
Dado que Juan vende 180 empanadas al día, y por la mañana vende las dos terceras partes y por la tarde la cuarta parte de lo que queda, para determinar cuántas empanadas le queda por vender en la noche se debe realizar el siguiente cálculo:
180 x 2 / 3 = 120
180 - 120 = 60
60 x 1/4 = 15
60 - 15 = 45
Por lo tanto, a Juan le quedan 45 empanadas.