Answer:
Part 3)
Part 4) 
Step-by-step explanation:
Part 3)
<em>step 1</em>
Find the value of x
In the right triangle of the figure we know that
The cosine of angle of 30 degrees is equal to the adjacent side to angle of 30 degrees divide by the hypotenuse
so
and remember that
substitute
Simplify
<em>step 2</em>
Find the value of y
In the right triangle of the figure we know that
The sine of angle of 30 degrees is equal to the opposite side to angle of 30 degrees divide by the hypotenuse
so
and remember that
substitute
Part 4) Find the value of x
Applying the Pythagoras Theorem
Simplify
Answer:
60x
Step-by-step explanation: this would be applying the distributive property
40x+30x-10x
70x-10x
hoped this helped
What logarithmic equation has the same solution as x-4=2^3
Solution:
x-4=2³
x-4=2*2*2
x-4=8
TO solve for x, Let us add 4 on both sides
x-4+4=8+4
x+0=12
So, x=12
But, x=12 is not a logarithmic equation and there are no options
So, an equation like, x=㏒ 
As log has base 10,
So, x=㏒ =12
So, logarithmic equation like x=log has same solution as x-4=2³
Answer:
Step-by-step explanation:
a) Mapping the graphs
Mapping one graph (A) onto another (B) means that each vertical line through a point in A intersects the graph of the B at only one point.
In the diagram, the graph of ƒ(x) = √(x² + 9) is the blue line and the graph of g(x) = 5 + √(x² + 9) is in green.
Each vertical line through ƒ(x) intersects g(x) in only one point.
For example, a vertical line from (4, 0) intersects ƒ(x) at (4, 5) and g(x)
at (4, 10).
Every point in g(x) is five units higher than the corresponding point in ƒ(x).
Thus, mapping ƒ(x) onto g(x) is a translation of five units upward.
b) Integration
![\int_{2}^{11}{(5 + \sqrt{x^{2}+9})}dx \approx [5x]_2^{11}+65\\](https://tex.z-dn.net/?f=%5Cint_%7B2%7D%5E%7B11%7D%7B%285%20%2B%20%5Csqrt%7Bx%5E%7B2%7D%2B9%7D%29%7Ddx%20%5Capprox%20%5B5x%5D_2%5E%7B11%7D%2B65%5C%5C)
Answer:
Step-by-step explanation:
KL=1/2 YX=1/2×56=28
YZ=2JK=2×38=76
LZ=1/2YZ=1/2×76=38
