Answer:
27 inches
Step-by-step explanation:
To find the length of the diagonal, we just need to use the cosine relation of the 48° angle.
The adjacent side to the angle is the height of the canvas, and the hypotenuse formed is the diagonal of the canvas. So, we have that:
cos(48) = height / diagonal
0.6691 = 18 / diagonal
diagonal = 18 / 0.6691 = 26.9 inches
Rounding to the nearest inch, the diagonal of the canvas measures 27 inches
The side of the edge of the cube is 9. 9cm
<h3>How to determine the length</h3>
Given that the diagonal of a cube measures the square root of 294cm and the diagonal of a face measures 14cm
To find the edge of the face, we know that the face of the cube is a square
Formula for diagonal of a square =
Where is the side of the square
We then have,
Make 'a' the subject
a =
Simplify the surd
a = ×
a =
a =
a = 9. 9cm
Therefore, the side of the edge of the cube is 9. 9cm
Learn more about a cube here:
brainly.com/question/1972490
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Answer: I cant really read the questions.
Step-by-step explanation:
If f(x) = (5x^3 − 4)^4
derivative of the outer * derivative of the inner
f'(x) = 4 (5x^3 -4) ^3 *3 (5x^2)
= 4 (5x^3 -4) ^3 * (15x^2)
=4*3*5 x^2 (5x^3 -4) ^3
=60 x^2 *(5x^3 -4) ^3
Choice C