Answer:
2.5
Step-by-step explanation:
The radius is half of the diameter. 5 / 2 = 2.5
Answer:
the height of the cross section is 3 feet
Step-by-step explanation:
The computation of the height of the cross section is shown below:
Area = 1 ÷ 2 × (a + b) × h
39 = 1 ÷ 2 × (20 + 6) × h
39 = 1 ÷2 × 26 × h
39 = 26 ÷ 2 × h
39 = 13 × h
h = 39 ÷ 13
= 3 feet
hence, the height of the cross section is 3 feet
the yearly increase of x% assumes is compounding yearly, so let's use that.
![95000=80000\left(1+\frac{~~ \frac{r}{100}~~}{1}\right)^{1\cdot 5}\implies \cfrac{95000}{80000}=\left( 1+\cfrac{r}{100} \right)^5 \\\\\\ \cfrac{19}{16}=\left( 1+\cfrac{r}{100} \right)^5\implies \sqrt[5]{\cfrac{19}{16}}=1+\cfrac{r}{100}\implies \sqrt[5]{\cfrac{19}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[5]{\cfrac{19}{16}}=100+r\implies 100\sqrt[5]{\cfrac{19}{16}}-100=r\implies 3.5\approx r](https://tex.z-dn.net/?f=95000%3D80000%5Cleft%281%2B%5Cfrac%7B~~%20%5Cfrac%7Br%7D%7B100%7D~~%7D%7B1%7D%5Cright%29%5E%7B1%5Ccdot%205%7D%5Cimplies%20%5Ccfrac%7B95000%7D%7B80000%7D%3D%5Cleft%28%201%2B%5Ccfrac%7Br%7D%7B100%7D%20%5Cright%29%5E5%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B19%7D%7B16%7D%3D%5Cleft%28%201%2B%5Ccfrac%7Br%7D%7B100%7D%20%5Cright%29%5E5%5Cimplies%20%5Csqrt%5B5%5D%7B%5Ccfrac%7B19%7D%7B16%7D%7D%3D1%2B%5Ccfrac%7Br%7D%7B100%7D%5Cimplies%20%5Csqrt%5B5%5D%7B%5Ccfrac%7B19%7D%7B16%7D%7D%3D%5Ccfrac%7B100%2Br%7D%7B100%7D%20%5C%5C%5C%5C%5C%5C%20100%5Csqrt%5B5%5D%7B%5Ccfrac%7B19%7D%7B16%7D%7D%3D100%2Br%5Cimplies%20100%5Csqrt%5B5%5D%7B%5Ccfrac%7B19%7D%7B16%7D%7D-100%3Dr%5Cimplies%203.5%5Capprox%20r)
Answer: 5 Vertices
Step-by-step explanation: I believe if it had 4 faces and 8 edges it would have 5 vertices.
Answer:
Statement B and D are correct.
Step-by-step explanation:
The number of minutes Gabriel spends grading essays can be presented as a function: f(x) = 4x, where x is the number of graded essays and 4 is the number of minutes Gabriel spends on grading each essay.
By definition, domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.
So in this case, domain of f(x) is the set of all values of x which is an integer going from 0 to 105. Statement D is accurate.
Range of f(x) is the set of all values that f takes and can be calculated by multiplying 4 with (0,105), equal (0,420). Statement B is accurate.
