The value of ? and X are 12 and 24 respectively
<h3>Similarity theorem of a triangle</h3>
A triangles is 2D shape with three sides and angles.
From the given diagram, the ratio of similar sides is equal to a constant as shown;
15/20 = 9+15/20+x
Cross multiply
15/9+15 = 20/20+x
15/24 = 20/20+x
Comparing with the given ratio
? = 24
X = 20+x
Find x
15(20+x) = 480
300 + 15x = 480
15x = 180
x =12
Fro the given expression
x/32 = 9/?
12/32 = 9/?
12 ? = 32 * 9
? = 24
Hence the value of ?and x from the given diagram is 12 and 24 respectively
Learn more on similar triangles here: brainly.com/question/11920446
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The answer is D. The sequence continues without end, and there is a common ratio between the consecutive terms.
From the definition of an infinite geometric sequence, An infinite geometric series is the sum of an infinite geometric sequence . This series would have no last term.
Complete question:
Please find the attached file for task table
Answer:
The minimum cycle time is 50 s
The maximum cycle time is 50.4 s
Step-by-step explanation:
Given;
production time, t = 7 hours
desired output = demand, D = 500 units
The minimum cycle Time is given by;
Minimum cycle time = maximum task time, from the table the maximum task time is 50 seconds.
Thus, Minimum cycle time = 50 s
The maximum cycle Time is given by;
Thus, Maximum cycle time = 50.4 s
Answer:
The solutions are a₁ = -4/19 i, a₂ = 4/19 i and a₃ = -1/4
Step-by-step explanation:
Given the equation 76a³+19a²+16a=-4, for us to solve the equation, we need to find all the factors of the polynomial function. Since the highest degree of the polynomial is 3, the polynomial will have 3 roots.
The equation can also be written as (76a³+19a²)+(16a+4) = 0
On factorizing out the common terms from each parenthesis, we will have;
19a²(4a+1)+4(4a+1) = 0
(19a²+4)(4a+1) = 0
19a²+4 = 0 and 4a+1 = 0
From the first equation;
19a²+4 = 0
19a² = -4
a² = -4/19
a = ±√-4/19
a₁ = -4/19 i, a₂ = 4/19 i (√-1 = i)
From the second equation 4a+1 = 0
4a = -1
a₃ = -1/4
Answer:
1-2-3-4-5
Step-by-step explanation:
sin(X/2)=1-cos(x)
2