Answer:
There are two answers, either of which would work
- 26°, 26° and 128°
- 26°, 77° and 77°
Method:
An isosceles triangle has 2 of the same sides so there are two possible answers:
1) 26° is one of the angles which is the same as another. 26° × 2 = 52° and since there are 180° in a triangle the other angle is 180° - 52° which is 128°. This would make the angles 26°, 26° and 128°
2) 26° is not one of the angles which is the same as another. Since there are 180° in a triangle, the other angles would both be 2 ÷ (180° - 26°) which is 77°. This would make the angless 26°, 77° and 77°
Answer:
Step-by-step explanation:
Answer:
30 fine years ya know I was in England robing a back sooo
The correct answer is the first choice, ($1818.30, $5077.70.)
To find this, we first find the z-score based on the confidence level:
Convert 95% to a decimal: 95%=95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 1.96.
Next, we identify
![\overline{x_1}=39902; \overline{x_2}=36454; n_1=74; n_2=40; \sigma_1=3270; \sigma_2=4677](https://tex.z-dn.net/?f=%5Coverline%7Bx_1%7D%3D39902%3B%20%5Coverline%7Bx_2%7D%3D36454%3B%20n_1%3D74%3B%20n_2%3D40%3B%20%5Csigma_1%3D3270%3B%20%5Csigma_2%3D4677)
Next we find
![(\overline{x_1}-\overline{x_2})=(39902-36454) = 3448](https://tex.z-dn.net/?f=%28%5Coverline%7Bx_1%7D-%5Coverline%7Bx_2%7D%29%3D%2839902-36454%29%20%3D%203448)
Next we find
![\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}} \\ \\=\sqrt{\frac{3270^2}{74}+\frac{4677^2}{40}}=\sqrt{\frac{10692900}{74}+\frac{21874329}{40}} \\ \\=831.479](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B%5Csigma_1%5E2%7D%7Bn_1%7D%2B%5Cfrac%7B%5Csigma_2%5E2%7D%7Bn_2%7D%7D%0A%5C%5C%0A%5C%5C%3D%5Csqrt%7B%5Cfrac%7B3270%5E2%7D%7B74%7D%2B%5Cfrac%7B4677%5E2%7D%7B40%7D%7D%3D%5Csqrt%7B%5Cfrac%7B10692900%7D%7B74%7D%2B%5Cfrac%7B21874329%7D%7B40%7D%7D%0A%5C%5C%0A%5C%5C%3D831.479)
Next, we multiply this value by z:
1.96(831.479) = 1629.70
The confidence interval is given by
Cos28 = 11/x
x = 11/cos28
x = 11 / 0.88294759
x = 12.46
Answer
C. 12.5 (nearest tenth)