Answer:
the volume is 1176 cm^3
Step-by-step explanation:
you can divide the bricks into two shapes, find their volumes and add them back together:
1st brick shape: 21 * 6 * 6 = 756 cm^3
2nd brick shape: 10 * 7 * 6 = 420 cm^3
now add them and you get 1176 cm^3 per identical brick as their volume, you just have to multiply the height, length and width that you know makes up a simpler shape
<em>pls brainliest if you found it useful</em>
Answer:
C) √5(cos(117°) +i·sin(117°))
Step-by-step explanation:
The rectangular number a+bi can be written in polar form as ...
√(a^2+b^2)×(cos(arctan(b/a)) + i·sin(arctan(b/a)))
Here, we have a=-1, b=2, so the magnitude is ...
√((-1)^2 +2^2) = √(1+4) = √5
and the angle is ...
arctan(2/(-1)) = arctan(-2) ≈ 116.565° . . . . . a 2nd-quadrant angle
Then you have ...
-1 +2i = √5(cos(117°) +i·sin(117°)) . . . . . . customary "polar form"
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Comment on the answer
The "polar form" is generally written as ...
(magnitude)·(cos(angle) +i·sin(angle))
You may also see it as ...
(magnitude) cis (angle) . . . . . . . where "cis" is shorthand for "cos + i·sin"
In my engineering courses, we often used the form ...
(magnitude) ∠ (angle)
The form used by my calculator is ...
(magnitude)·e^(i·angle) . . . . . where angle is usually in radians
No the answer is 7. 6 times 8 is 48, so 7 times 8 is 56
Answer:
29/14
Step-by-step explanation:
Start by working out the LCM of these (or any common denominator). A common denominator for 4 and 7 is 28 cuz 4 x 7 = 28.
3/4 = 21/28
4/7 = 16/28
3/4 = 21/28
(21+16+21)/28 = 58/28 which can simplify to 29/14
Y = 4x + 15 is slope intercept form
