Total depth of the bottom of the plate is 4 + 1 = 5
Force = limit(5,1) 62.5 *7* x * dx
= 437.5. Lim(5,1) x*dx
= 437.5(x^2/2)^5 , 1
= 437.5 x (5^2/2 - 1/2)
= 437.5 x 12
= 5,250 pounds
Domain: (-6, 0, 3) Range: (-9, -7, 3, 5)
<u>Answer:</u> 504
<u>Step-by-step explanation: </u>
Least Common Multiple is :
504
Calculate Least Common Multiple for :
18, 24 and 56
Factorize of the above numbers :
18 = 2 • 32
24 = 23 • 3
56 = 23 • 7
Build a prime factors table
Number of times each prime factor
appears in the factorization of :
Prime
Factor Number
18 Number
24 Number
56 L.C.M
(max)
2 1 3 3 3
3 2 1 0 2
7 0 0 1 1
LCM = 23 • 32 • 7
Least Common Multiple is :
504
13 x 6 = 78
d = 78
Hope This Helps You!
Good Luck Studying :)
Answer: The mat is 4.33 ft high off the ground.
Step-by-step explanation:
Since we have given that
Angle of elevation with the first triangle = 30°
Angle of elevation with the second triangle = 60°
Length at which gymnastics mat extends across the floor = 5 feet
so, As shown in the figure:
We need to find the height of the mat off the ground.
If CD = 5 ft,
Let, AB = y, DC = x.
In Δ ABC,

Similarly, in Δ ACD,

Hence, the mat is 4.33 ft high off the ground.