C. 2/9 is the answer too the question
Hope this picture helps! ;) Ignore the stuff around it ($12 or the triangle)
Step-by-step explanation:
we know,
volume of pyramid = 1/3 × base area × height
so,
→ 1/3 × 120 × 9
→ 40 × 9 = 360 ft
so the volume of the pyramid is 360 ft².
base area = length × slant height
so, 12 × 10 = 120
<em>hope </em><em>this</em><em> answer</em><em> helps</em><em> you</em><em> </em><em>dear.</em><em>.</em><em>.</em><em>.</em><em>take </em><em>care </em><em>and </em><em>may</em><em> u</em><em> have</em><em> a</em><em> great</em><em> day</em><em> ahead</em><em> </em><em>dear </em><em>!</em>
Answer:
204/325
Step-by-step explanation:
You can work this a couple of ways. We expect you are probably expected to use trig identities.
cos(A) = √(1 -sin²(A)) = 24/25
sin(B) = √(1 -cos²(B)) = 12/13
cos(A -B) = cos(A)cos(B) +sin(A)sin(B) = (24/25)(5/13) +(7/25)(12/13)
= (24·5 +7·12)/325
cos(A -B) = 204/325
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The other way to work this is using inverse trig functions. It is necessary to carry the full calculator precision if you want an exact answer.
cos(A -B) = cos(arcsin(7/25) -arccos(5/13)) = cos(16.2602° -67.3801°)
= cos(-51.1199°) ≈ 0.62769230 . . . . (last 6 digits repeating)
The denominators of 25 and 13 suggest that the desired fraction will have a denominator of 25·13 = 325, so we can multiply this value by 325 to see what we get.
325·cos(A-B) = 204
so, the exact value is ...
cos(A -B) = 204/325
