<h2>281.75</h2>
Step-by-step explanation:
23 [1/4 +4(36÷12)]
23 [1/4 +4×3]
23 [0.25 +12]
23 ×12.25
281.75
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Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 3y + 2x = 1 into this form
Subtract 2x from both sides
3y = - 2x + 1 ( divide all terms by 3 )
y = - 
x + 
← in slope- intercept form
with slope m = - → A
Answer:
dy/dx = (x^2 - 3)^sin x [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)]
Step-by-step explanation:
y = (x^2 - 3)^sinx
ln y = ln (x^2 - 3)^sinx
ln y = sin x * ln (x^2 - 3)
1/y * dy/dx = sin x * {1 / (x^2 - 3)} * 2x + ln(x^2 - 3) * cos x
1/y dy/dx = 2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)
dy/dx = [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)] * y
dy/dx = (x^2 - 3)^sin x [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)]
Answer:
100
Step-by-step explanation:
Isosceles triangle have 2 equal angles. Therefore the second angle in the triangle will also be 25.
Since the sum of angles in a triangle is 180.
180-(25x2) will give you the last angle in one of the triangles.
The other angle is identical so the angle at the top of the other triangle will also be 130.
The sum of angles in a circle is 360.
Therefore, angle x = 360-(130x2)
X= 100
Answer:
The volume of the irregular figure would be 144 
.
Step-by-step explanation:
If you wish to make the process of calculating the volume easier, you can picture the irregular figure as two rectangular prisms: the large one on the bottom, and the smaller one appearing to protrude from the prism below it. Using this method, you only need to find the volumes of the two rectangular prisms and add the values together to get the volume for the irregular figure. The formula used to find the volume of a rectangular prism is 
, where 
, 
, and 
, represents the length, width, and height of the rectangular prism respectively. Using the formula above, the volume of the larger rectangular prism would be 12 * 3 * 3 = 12 * 9 = 108 , and the volume of the smaller rectangular prism would be 4 * 3 * 3 = 12 * 3 = 36 . So the volume of the entire irregular figure would be 108 + 36 = 144 .
