Answer:
8. 64.23
10. 51.317
Step-by-step explanation:
tan^-1(29/14) = 64.23
cos^-1(25/40) = 51.317
Answer:
Step-by-step explanation:
We want an exponential function that goes through the two points (0, 8) and (2, 200).
Since a point is (0, 8), this means that y = 8 when x = 0. Therefore:
Simplify:
So we now have:
Likewise, the point (2, 200) tells us that y = 200 when x = 2. Therefore:
Solve for b. Dividing both sides by 8 yields:
Thus:
Hence, our exponential function is:
Answer: - 0.71
Step-by-step explanation:
Let p = population proportion
po = sample proportion.
From the question,
p = 38% = 38/100 = 0.38
po = 32% = 32/100 = 0.32
Sample size (n) = 340.
Since our sample size is greater than 30 ( n= 340) we will be making use of a z test for our test statistics.
The population standard deviation of the data set is given below as
σ = √p(1 - p).
σ = √0.38 (1 - 0.38)
σ = √0.38 × 0.62
σ =√0.2356
σ = 0.49.
Z score = po - p/ (σ/√n)
Z score = 0.32 - 0.38/ (0.49/√340)
Z score = - 0.06 / 0.0266
Z score = - 0.71
Answer:
44cm^2
Step-by-step explanation:
We work with area for rectangles using the face of the longer length first as this is the awkward length the perpendicular side to the easy calculation of the square and sits perpendicular to the square.
We choose the longer length and plug in and choose one of the two calculation answers.
11 x 4 = 44
11 x 6 = 66
We see the answer is 44cm^2, so we choose this one.
Answer:
cos ∠CBD = - 4√41 / 41
Step-by-step explanation:
AB = 4 ΔABC = (4 x AC) / 2 = 10
AC = 5
BC = √5² + 4² = √41
cos ∠CBD = cos (180° - ∠CBA) = cos 180° cos ∠CBA + sin 180° sin ∠CBA
(cos 180° = - 1 sin 180° = 0 cos ∠CBA = 4 / √41 )
cos ∠CBD = (-1) x cos ∠CBA = - 4 / √41 = - 4√41 / 41
