Answer:
w = 20
Step-by-step explanation:
We need to solve the equation, to find the value of w:
w - 8 = 12 - we need to add 8 to both sides
w - 8 + 8 = 12 + 8 - the -8 and the +8 on the left hand side cancel out to give just w
w = 20
cos A is 0.8511 and tan B is 1.6
Step-by-step explanation:
Find the 3rd length or the hypotenuse.
<u>Pythagoras theorem</u>
=
+ 
=
+ 
= 64 + 25
hypotenuse = 
hypotenuse = 9.4
a) Cos A
<u>Data:</u>
Adjacent = 8
Hypotenuse = 9.4
<u>Formula:</u>
Cos (Angle) = 
Cos A = 
Cos A = 0.8511
A =
(0.8511)
A = 31.7°
b) Tan B
<u>Data: </u>
Opposite = 8
Adjacent = 5
<u>Formula:</u>
Tan (Angle) = 
Tan B = 
Tan B = 1.6
B =
(1.6)
B = 58°
Therefore, cos A is 0.8511 and tan B is 1.6.
Keyword: cos, tan
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Answer:

Step-by-step explanation:
Question:
To evaluate
to the base 5
Solution:
We will apply log properties to evaluate.
We will use the following property of logarithms
If 
Then, 
Let 
So, we have

We can write 

∴ 
Thus, we have

Answer:
Step-by-step explanation:
Let p be the number of trees Wangari plants, and h be the time she spends planting them in hours.
We have been given that Wangari plants trees at a constant rate of 12 trees every 3 hours.
Let us find number of trees planted in 1 hour by dividing 12 by 3.


We can represent this information as: 
Therefore, the equation
relates the number of trees (p) Wangari plants, and the time (h) she spends planting them in hours.