There are 9 possible combinations, because you can have 3 main dishes, and each of thise have 3 side dishes that can go with them. I hope this helps! Could I possibly get brainliest.
Answer:
14m^2
Step-by-step explanation:
To find the area of this hexagon, you should separate this shape into 2 other shapes.
You can see that there is a parallelogram, and a rectangle shape within this hexagon, so you can find the area of these 2 shapes and later on, just add it.
The area of this rectangle is...
width✖️height: 6✖️2=12
The area of this parallologram is...
base✖️height: 6✖️2=12
12+12=14m^2
The best statement to describe a polygon is that it is a closed plane figure with three or more sides that are straight. <span>The correct answer is </span><span>a closed plane figure with three or more sides that are straight.</span>
Answer:
The answer is E) 1 and 2
Step-by-step explanation:
Given that s and t are greater than 1.
Let's assume that s = 4 and t = 2 and n = 8 (each on is a factor of the integer 8)
![n^{st} = 8^{8} = 4^{8} *2^{8}](https://tex.z-dn.net/?f=n%5E%7Bst%7D%20%3D%208%5E%7B8%7D%20%3D%204%5E%7B8%7D%20%2A2%5E%7B8%7D)
Now check for the options -
1)
( Can be a factor of
)
2)
( Can be a factor of
)
3)
( Cannot be a factor of
)
Thus, the option is E
Answer:
(a) 27°
(b) 17.9m
Step-by-step explanation:
According to the attachment
⠀
let AB be the ladder
BC be the distance between the ladder and wall
⠀
(a) We have to find ∠A by trigonometry formula
![\sf \sin A = \frac{perpendicular}{hypotenuse}](https://tex.z-dn.net/?f=%20%5Csf%20%20%5Csin%20A%20%20%3D%20%20%5Cfrac%7Bperpendicular%7D%7Bhypotenuse%7D%20)
Here angle A is facing BC so it is perpendicular
and AB is the longest side so it is hypotenuse
![\sf \implies \sin A = \frac{BC}{AB} \\ \\ \\ \sf \implies \sin A = \frac{9}{20} \\ \\ \\ \sf \implies \sin A = 0.45 \\ \\ \\ \sf \implies \sin A = \sin27{ \degree} \\ \\ \\ \sf \purple {A = 27{ \degree}}](https://tex.z-dn.net/?f=%20%5Csf%20%20%5Cimplies%20%5Csin%20A%20%3D%20%20%5Cfrac%7BBC%7D%7BAB%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%20%5Cimplies%20%20%5Csin%20A%20%3D%20%20%20%5Cfrac%7B9%7D%7B20%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%5Cimplies%20%20%5Csin%20A%20%3D%200.45%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%20%5Cimplies%20%20%5Csin%20A%20%3D%20%20%5Csin27%7B%20%5Cdegree%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%5Cpurple%20%7BA%20%3D%2027%7B%20%5Cdegree%7D%7D)
(b)
AC is the distance from the upper end of the ladder to ground
we will find it by Pythagoras theorem
![\sf {hypotenuse}^{2} = {perpendicular}^{2} + {base}^{2} \\ \\ \\ \sf \implies {AB}^{2} = {BC}^{2} + {AC}^{2} \\ \\ \\ \sf \implies {20}^{2} = {9}^{2} + {AC}^{2} \\ \\ \\ \sf \implies 400 = 81 + {AC}^{2} \\ \\ \\ \sf \implies 400 - 81 = {AC}^{2} \\ \\ \\ \sf \implies 319 = {AC}^{2} \\ \\ \\ \sf \implies \sqrt{319} = AC \\ \\ \\ \sf \blue{\implies 17.86 = AC}](https://tex.z-dn.net/?f=%20%5Csf%20%7Bhypotenuse%7D%5E%7B2%7D%20%20%3D%20%20%7Bperpendicular%7D%5E%7B2%7D%20%20%2B%20%20%20%7Bbase%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%20%5Cimplies%20%20%7BAB%7D%5E%7B2%7D%20%20%3D%20%20%7BBC%7D%5E%7B2%7D%20%20%2B%20%20%7BAC%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%5Cimplies%20%20%7B20%7D%5E%7B2%7D%20%20%3D%20%20%7B9%7D%5E%7B2%7D%20%20%2B%20%20%7BAC%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%20%5Cimplies%20400%20%3D%2081%20%2B%20%20%7BAC%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%20%5Cimplies%20400%20-%2081%20%3D%20%20%7BAC%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%5Cimplies%20319%20%3D%20%20%7BAC%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%20%5Cimplies%20%20%20%5Csqrt%7B319%7D%20%20%3D%20AC%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5Csf%20%20%20%5Cblue%7B%5Cimplies%2017.86%20%3D%20AC%7D)