- Question #33eb8 - Socratic
First, subtract #color (red) ($145)# from each side of the equation to isolate the #w# term while keeping the equation balanced:
- The sum of the first nth term of a geometric series is 145 . . . - Socratic
The sum of the first nth term of a geometric series is 145 and the sum of the reciprocal is 145 33 The first term is 1 What is n and the common ratio? Precalculus
- An isosceles triangle has sides A, B, and C, such that sides . . . - Socratic
12 04 (approx) Let the length of side A or B = x and base is 16 So the height is sqrt [x^2 - (16 2)^2] Now the area of triangle = 1 2 * base * height = 1 2 * 16 * sqrt [x^2 - (16 2)^2] Therefore, 1 2 * 16 * sqrt [x^2 - (16 2)^2] = 72 or, sqrt [x^2 - 8^2]=72 8 or, x^2 - 64 = 81 or, x^2 = 145 or, x = sqrt 145 = 12 04 (approx)
- Question #933a2 - Socratic
Solve: 1 sin x = 0 5623 2 cos x = 0 8963 3 tan x = -2 89 1 Calculator gives --> sin x = 0 5623 --> x = 34 22 and x = 180 - 34 22 = 145 78 deg Extended answers: x = 34 22 + k360 deg x = 145 78 + k360 deg 2 cos x = 0 8963 --> x = +- 26 32 deg Extended answers: x = +- 26 32 + k360 deg 3 tan x = -2 89 --> x = -70 93 and x = -70 93 + 180 = 109 09 deg Extended answers: x = 109 09 + k180 deg
- Solve # { (sqrtx (1-4x-y)=2), (sqrty (1+4x+y)=6):}# - Socratic
No real solutions Calling alpha = 4x+y we have { (sqrtx (1-alpha)=2), (sqrty (1+alpha)=6):} then 2 alpha = (1+alpha)^2- (1-alpha)^2=36 y-4 x or 4x+y = 9 y-1 x we
- Can you help me with finding perimeter of this sector fragment?
Just Q8 I'll ask more questions if I need more help
- If the measures of a triangle are 90°, 55°, and 3x - Socratic
=> x = 10 The measures (angles) of a triangle sum to 180^o =>90 + 55 + (3x+5) = 180 =>145 + (3x+5)=180 =>3x + 5 = 35 =>3x = 30 => x = 10
- What is the formula for the sequence #4,2,3,4,3,2,. . . # - Socratic
a_n = 1 120 (3 n^5-40 n^4+145 n^3+40 n^2-868 n+1200) If you want a formula for a sequence with these as the first six terms then you can proceed as follows: Write down the original sequence: color (blue) (4), 2, 3, 4, 3, 2 Write down a sequence formed by the differences of pairs of consecutive terms: color (blue) (-2), 1, 1, -1, -1 Write down a sequence formed by the differences of pairs of
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