Answer:
140
Step-by-step explanation:
Consider a square for just a second. It has 4 angles each of 90 degrees. The total number of degrees in a square is 4 * 90 = 360.
It should be at least an appeal to your intuition to say that a quadrilateral has a total of 360 degrees.
Therefore the ratio you have been given must have 4 angles that add to 360.
2x + 3x + 6x + 7x = 360
18x =360
x = 20
So the 4 angles are
2* 20 = 40
3*20 = 60
6*20 = 120
7*20 = 140
Total 360
The largest angle is 140
Answer:
[8 -6 2 -4].
Step-by-step explanation:
[4 -4 0 0]+[4 -2 2 -4]
= [4+4 -4+-2 0+2 0+-4]
= [8 -6 2 -4]
I think there are 44 sunflowers, hope it helps ya
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
cot A =
, tanA =
, cscA =
, secA = ![\frac{1}{cosA}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7BcosA%7D)
Consider the right side
![\frac{cotA-tanA}{cscAsecA}](https://tex.z-dn.net/?f=%5Cfrac%7BcotA-tanA%7D%7BcscAsecA%7D)
= ![\frac{\frac{cosA}{sinA}-\frac{sinA}{cosA} }{\frac{1}{sinA}.\frac{1}{cosA} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7BcosA%7D%7BsinA%7D-%5Cfrac%7BsinA%7D%7BcosA%7D%20%20%7D%7B%5Cfrac%7B1%7D%7BsinA%7D.%5Cfrac%7B1%7D%7BcosA%7D%20%20%7D)
= ![\frac{\frac{cos^2A-sin^2A}{sinAcosA} }{\frac{1}{sinAcosA} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7Bcos%5E2A-sin%5E2A%7D%7BsinAcosA%7D%20%7D%7B%5Cfrac%7B1%7D%7BsinAcosA%7D%20%7D)
=
× sinAcosA ( cancel sinAcosA )
= cos²A - sin²A
= cos2A
= left side ⇒ verified
The general formula of a pyramid with any base is 1/3 bh where b is the area of the base and h is the height. In this case, the height of the pyramid is said to be twice the height of the prism, h. Hence the area becomes 1/3 b*2h or equal to option A. 2/3 bh