Answer: =23
Step-by-step explanation: 16−10−2+19
=6−2+19
=6+17
=23
9514 1404 393
Answer:
33 ft²
Step-by-step explanation:
Each triangle's area is given by the formula ...
A = (1/2)bh
A = (1/2)(3 ft)(4 ft) = 6 ft²
The square base area is given by ...
A = s²
A = (3 ft)² = 9 ft²
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The total area of the pyramid is the area of the base plus the area of four triangular faces.
Total Area = (9 ft²) + 4(6 ft²) = (9 +24) ft²
Total Area = 33 ft²
Answer:✔ 25 ✔ 312.5
Step-by-step explanation:
Hope this helps Edge2021
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Explanation:</h2><h2>
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By using quadratic formula:
![x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x_%7B1%2C%5C%3A2%7D%3D%5Cfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
![\quad a=1,\:b=20,\:c=-8](https://tex.z-dn.net/?f=%5Cquad%20a%3D1%2C%5C%3Ab%3D20%2C%5C%3Ac%3D-8)
![x_{1,\:2}=\frac{-20\pm \sqrt{20^2-4\cdot \:1\left(-8\right)}}{2\cdot \:1}](https://tex.z-dn.net/?f=x_%7B1%2C%5C%3A2%7D%3D%5Cfrac%7B-20%5Cpm%20%5Csqrt%7B20%5E2-4%5Ccdot%20%5C%3A1%5Cleft%28-8%5Cright%29%7D%7D%7B2%5Ccdot%20%5C%3A1%7D)
![x=\frac{-20+\sqrt{20^2-4\cdot \:1\left(-8\right)}}{2\cdot \:1}:\quad 2\left(3\sqrt{3}-5\right)](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-20%2B%5Csqrt%7B20%5E2-4%5Ccdot%20%5C%3A1%5Cleft%28-8%5Cright%29%7D%7D%7B2%5Ccdot%20%5C%3A1%7D%3A%5Cquad%202%5Cleft%283%5Csqrt%7B3%7D-5%5Cright%29)
![x=\frac{-20-\sqrt{20^2-4\cdot \:1\left(-8\right)}}{2\cdot \:1}:\quad -2\left(5+3\sqrt{3}\right)](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-20-%5Csqrt%7B20%5E2-4%5Ccdot%20%5C%3A1%5Cleft%28-8%5Cright%29%7D%7D%7B2%5Ccdot%20%5C%3A1%7D%3A%5Cquad%20-2%5Cleft%285%2B3%5Csqrt%7B3%7D%5Cright%29)
So the solutions are:
![\boxed{x=2\left(3\sqrt{3}-5\right),\:x=-2\left(5+3\sqrt{3}\right)}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%3D2%5Cleft%283%5Csqrt%7B3%7D-5%5Cright%29%2C%5C%3Ax%3D-2%5Cleft%285%2B3%5Csqrt%7B3%7D%5Cright%29%7D)
18. P(x then y) = 1/11
19. P(both y) = 5/22
To find the probability of these compound events, we have to multiply the probability of each individual event. Remember, on the second trial, there are only 11 options.
18. 2/12 x 6/11 = 1/11
19. 6/12 x 5/11 = 5/22