Answer:
could you possibly zoom in
Step-by-step explanation:
The correct answer is -163
Explanation:
First you calculate within the parentheses; (8+4)= 12: 5-7*12*2
Next you multiply and divide; 7*12 is 84*2 is 168
Then you add and subtract; 5-168 is -163
Hope This Helps!!!
The dimension of the box of the greatest volume that can be constructed in this way is 12x12x3 and the volume is 432.
<h3>
How to s
olve the d
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Let x be the side of the square to remove. Then the volume of the box is:
V(x) = (18 - 2x)² * x = 324x - 72x² + 4x³
To find the maximum volume, differentiate and set it to 0:
V'(x) = 324 - 144x + 12x²
0 = x² - 12x + 27
0 = (x - 9)(x - 3)
x = 3 or 9
When x = 3,
V"(x) =-144+24x
V"(3) =-144+72=-72<0
so volume is maximum at x=3
Therefore the box is 12x12x3 and the volume is 432.
Learn more about dimension on:
brainly.com/question/26740257
1) no
2)yes
3)yes
1)no
2)yes
3)yes
4)no
the factors of 12 are 1,2 ,4 , 6,12
the factors of 25 are 1,5,25
the factors of 48 are 1,2,3,4,6,8,12,16,24,48
no because 64 is not a factor of 6 and there will be some of the plastic
miniature dinosaurs left over
the factors of 42 are 1,2,3,6,7,14,21,42
i can give you everything in pairs at the comment section
Answer: cos²(θ) + sin(θ)sin(e)
<u>Step-by-step explanation:</u>
sin (90° - θ)cos(Ф) - sin(180° + θ) sin(e)
Note the following identities:
sin (90° - θ) = cos(x)
sin (180° + θ) = -sin(x)
Substitute those identities into the expression:
cos(x)cos(x) - -sin(x)sin(e)
= cos²(x) + sin(x)sin(e)
