Answer:
7.8 = k
Step-by-step explanation:
Since the figures are similar, we can use proportions
c k
----- = -------
b j
Substituting the values in
6.5 k
----- = -------
4 4.8
Using cross products
6.5 * 4.8 = 4k
31.2 = 4k
Divide each side by 4
31.2/4 = 4k/4
7.8 = k
Answer:
-16
Step-by-step explanation:
Answer:
We conclude that using the property of exponents, we need to multiply 10² to get 10⁴. Step-by-step explanation: Let 'x' be the number we need to multiply 10² by to get 10⁴. Therefore, we conclude that using the property of exponents, we need to multiply 10² to get 10⁴.
Imx->0 (asin2x + b log(cosx))/x4 = 1/2 [0/0 form] ,applying L'Hospital rule ,we get
= > limx->0 (2a*sinx*cosx - (b /cosx)*sinx)/ 4x3 = 1/2 => limx->0 (a*sin2x - b*tanx)/ 4x3 = 1/2 [0/0 form],
applying L'Hospital rule again ,we get,
= > limx->0 (2a*cos2x - b*sec2x) / 12x2 = 1/2
For above limit to exist,Numerator must be zero so that we get [0/0 form] & we can further proceed.
Hence 2a - b =0 => 2a = b ------(A)
limx->0 (b*cos2x - b*sec2x) / 12x2 = 1/2 [0/0 form], applying L'Hospital rule again ,we get,
= > limx->0 b*(-2sin2x - 2secx*secx.tanx) / 24x = 1/2 => limx->0 2b*[-sin2x - (1+tan2x)tanx] / 24x = 1/2
[0/0 form], applying L'Hospital rule again ,we get,
limx->0 2b*[-2cos2x - (sec2x+3tan2x*sec2x)] / 24 = 1/2 = > 2b[-2 -1] / 24 = 1/2 => -6b/24 = 1/2 => b = -2
from (A), we have , 2a = b => 2a = -2 => a = -1
Hence a =-1 & b = -2
Answer: 60.53%
Step-by-step explanation: i just did 23/38.
