Answer:
Approximately 6.4
Step-by-step explanation:
We can use the pythagorean thereom here, that tells us (a^2)+(b^2)=c^2. C is the hypotenuse, the side opposite from the right angle, while a and b are the other sides. We can insert 5 and 4 as a and b, and solve for c
:(5^2)+(4^2)=c^2
:25+16=c^2
:41=c^2
:sqrt(41)=6.4=c (We square rooted both sides. 6.4 is only rounded to the nearest hundredths place.) Hope this helps!
Answer: x = 40.81 or 41
Step-by-step explanation:
A = B = 21
C = 35
Hypotenuse = x
Calculating Hypotenuse:
21^2 + 35^2 = x^2
=> 441 + 1225 = x^2
=> x^2 = 1666
=> x = 40.81 or 41
Answer:
114.89 degrees
245.11 degrees
Step-by-step explanation:
cos is negative in the second and third quadrant ("pointing" on the x-axis to the left).
so, the first answer for the second quadrant is
114.89 degrees.
the answer for the third quadrant is then backwards the same angles from a full 360 degree rotation
360 - 114.89 = 245.11 degrees
Find range ,median mode and mean of the following numbers -19,-11,-19,-18,-13,-19,-18,-11.0, 11,12
IrinaK [193]
Range= 31 because 12- -19 = 31 you subtract the lowest with the highest.
Mean= 8.3
Mode = -19 because you mostly see -19 there’s 3 -19 . :)))
Answer:
Common Difference(d) is
![d=\frac{1}{6}](https://tex.z-dn.net/?f=d%3D%5Cfrac%7B1%7D%7B6%7D)
Step-by-step explanation:
Given sequence is :
![\frac{1}{6}, \frac{1}{3} ,\frac{1}{2} ,\frac{2}{3} .........](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D%2C%20%5Cfrac%7B1%7D%7B3%7D%20%2C%5Cfrac%7B1%7D%7B2%7D%20%2C%5Cfrac%7B2%7D%7B3%7D%20.........)
If a sequence has a constant common difference throughout the sequence, then the sequence is called Arithmetic Progression.
Considering a sequence:
![a_1,a_2,a_3,a_4..........\\](https://tex.z-dn.net/?f=a_1%2Ca_2%2Ca_3%2Ca_4..........%5C%5C)
![a_2-a_1=a_3-a_2=a_4-a_3=a_n-a_n_-_1=d](https://tex.z-dn.net/?f=a_2-a_1%3Da_3-a_2%3Da_4-a_3%3Da_n-a_n_-_1%3Dd)
where 'd' is the common difference of the A.P.
Similarly, finding the common difference of the given sequence.
![\frac{1}{3} -\frac{1}{6}= \frac{1}{2}- \frac{1}{3}=\frac{2}{3} - \frac{1}{2}=d\\](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20-%5Cfrac%7B1%7D%7B6%7D%3D%20%5Cfrac%7B1%7D%7B2%7D-%20%5Cfrac%7B1%7D%7B3%7D%3D%5Cfrac%7B2%7D%7B3%7D%20-%20%5Cfrac%7B1%7D%7B2%7D%3Dd%5C%5C)
![d=\frac{1}{3}-\frac{1}{6}=\frac{(2)(1)-(1)(1)}{6}=\frac{1}{6}](https://tex.z-dn.net/?f=d%3D%5Cfrac%7B1%7D%7B3%7D-%5Cfrac%7B1%7D%7B6%7D%3D%5Cfrac%7B%282%29%281%29-%281%29%281%29%7D%7B6%7D%3D%5Cfrac%7B1%7D%7B6%7D)
![d=\frac{1}{6}](https://tex.z-dn.net/?f=d%3D%5Cfrac%7B1%7D%7B6%7D)
Common Difference(d) is
![d=\frac{1}{6}](https://tex.z-dn.net/?f=d%3D%5Cfrac%7B1%7D%7B6%7D)