Answer:
-14
Step-by-step explanation:
3r2-5s+6t
3.2.2-5(-4)+6.(-1)
12-20-6
12-26
-14
The formula for the area of a hexagon is
![A=\frac{3\sqrt[]{3}}{2}s^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B3%5Csqrt%5B%5D%7B3%7D%7D%7B2%7Ds%5E2)
where 's' is the length of one side of the regular hexagon.
The side of our regular hexagon is 2 feet, therefore, its area is
![\begin{gathered} A=\frac{3\sqrt[]{3}}{2}\cdot(2)^2=6\sqrt[]{3} \\ 6\sqrt[]{3}=10.3923048454\ldots\approx10 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%3D%5Cfrac%7B3%5Csqrt%5B%5D%7B3%7D%7D%7B2%7D%5Ccdot%282%29%5E2%3D6%5Csqrt%5B%5D%7B3%7D%20%5C%5C%206%5Csqrt%5B%5D%7B3%7D%3D10.3923048454%5Cldots%5Capprox10%20%5Cend%7Bgathered%7D)
The exact area of the hexagon is 6√3 ft², which is approximately 10 ft².
Answer:
1.
-9 11/15
2. 11/24
3.
34/45
4. -5.05
5. -0.622
Step-by-step explanation:
1. -2 4/5 - 6 2/15
convert them to a common denominator and an improper fraction:
-2 4/5= 18/5=- 54/15 -6 2/15= 92/ 15
*15 is the other denominator, so you keep the numbers in the second number the same*
subtract: -54/15- 92/15
since you are subtracting a negative number it goes farther away from zero
-146/15 or -9 11/15
2. -5/12 + 7/8
convert them to a common denominator
-5/12=- 20/48 7/8= 35/40
add: -20/48+35/40
11/24
since you are adding a negative number it goes closer to zero or past zero:
3. 3 3/5 x 2/9
convert 3 3/5 to an improper fraction: 18/5
mulitply the two denominators and the two numerators
17/5 x 2/9= 34/45
This is also the simplest form.
4. Convert to a decimal. -5 1/20
keep the -5 beacuse that is a whole number
divide 1/20 to turn it to a decimal to get 0.05
5. Which number is the largest? -0.65, -0.622, -5/8
to find this you would have to convert all numbers to either a decimal or a fraction.
5/8 is 0.625
the one closest to zero is the largest which is -0.622
Answer:
m=15.5h
Step-by-step explanation:
279 divided by 18 and 77.5 divided by 5 equal 15.5 so that is how much randy gets paid per hour (h)