Given:
Consider the equation is:
To prove:
by using the properties of logarithms.
Solution:
We have,
Taking left hand side (LHS), we get
![\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Clog_ab%3D%5Cdfrac%7B%5Clog_x%20a%7D%7B%5Clog_x%20b%7D%5Cright%5D)
![[\because \log x^n=n\log x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Clog%20x%5En%3Dn%5Clog%20x%5D)
Hence proved.
The picture shown is a unfolded rectangular prism.
The formula to find the surface area of a rectangular prism is:
A = 2(WL+HL+HW)
(W = width, L = Length, H= Height)
So we would need to determine the Height, Length, and Width first, and then plug them into the formula and solve for the area.
In this case:
The height is: 4 cm
The length is: 10.5 cm
The width is: 6.4 cm
Now that we have determined the height, length, and width, we simply plug them into the formula I showed earlier.
In this case the answer would be 269.6.
D. 269.6
Answer:
Step-by-step explanation:
You are to take the square root across the inequality sign to make it plus or minus 3 squared.
The answer will therefore be C
Answer:
108
Step-by-step explanation:
x=number
X
___. = 18
6
Multiply 6 on both sides to get X by itself
18x6=108
x=108
Answer:
75°
Step-by-step explanation:
1. Consider right triangle ABC. In this triangle
m∠C = 90º and CM - angle bisector.
If CM is angle C bisector, then
m∠ACM = m∠MCB = 45º
2. Consider triangle CMB. The sum of the measures of all interior angles of the triangle is always 180°, then
m∠MCB + m∠CBM + m∠BMC = 180°,
m∠BMC = 180° - 45° - 30°
m∠BMC = 105°
3. Angles AMC and BMC are supplementary angles, so
m∠AMC + m∠BMC = 180°
m∠AMC = 180° - 105°
m∠AMC = 75°
