Step-by-step explanation: the tangent is 8/6 because it is the opposite (8) over the adjacent (6)
Answer:
Nopes 3²+4²≠12²
Step-by-step explanation:
12²=144
3²+4²=
9+16=25
25≠144
To make it easier to see exactly WHY 3²+4²≠12² you can spread out the numbers in the equation.
(3·3)+(4·4)≠(12·12)
When solving equations you use PEMDAS (Parenthesis Exponents Multiplication Division Addition Subtraction). You have to solve in THAT ORDER.
First, you would start on the orgin (0,0), and move up 1. You should now be at (1,0) make a point here
Next, you will move down 2. You should now be at (-1,0)
Finally, you move right 3.
You should now be at (-1,3)
Make a point
Hope this helps!
Answer:
![Log_41024=5](https://tex.z-dn.net/?f=Log_41024%3D5)
Step-by-step explanation:
The change of form formula (exponential to logarithm) is:
![a^x=b\\Log_ab=x](https://tex.z-dn.net/?f=a%5Ex%3Db%5C%5CLog_ab%3Dx)
Looking at the problem given, we can simply write the logarithmic form as:
![4^5=1024\\Log_41024=5](https://tex.z-dn.net/?f=4%5E5%3D1024%5C%5CLog_41024%3D5)
This is the answer.
<u>Answer:</u> The ratio that represents the cosine of ∠T is ![\frac{56}{65}](https://tex.z-dn.net/?f=%5Cfrac%7B56%7D%7B65%7D)
<u>Step-by-step explanation:</u>
We are given:
UV = 56 units
VT = 33 units
UT = 65 units
∠V = 90°
Cosine of an angle is equal to the ratio of base and the hypotenuse of the triangle. ΔTUV is drawn in the image below.
![\cos \theta=\frac{\text{base}}{\text{hypotenuse}}](https://tex.z-dn.net/?f=%5Ccos%20%5Ctheta%3D%5Cfrac%7B%5Ctext%7Bbase%7D%7D%7B%5Ctext%7Bhypotenuse%7D%7D)
Base of the triangle is UV and the hypotenuse of the triangle is TU
Putting values in above equation, we get:
![\cos \theta=\frac{UV}{TU}=\frac{56}{65}](https://tex.z-dn.net/?f=%5Ccos%20%5Ctheta%3D%5Cfrac%7BUV%7D%7BTU%7D%3D%5Cfrac%7B56%7D%7B65%7D)
Hence, the ratio that represents the cosine of ∠T is ![\frac{56}{65}](https://tex.z-dn.net/?f=%5Cfrac%7B56%7D%7B65%7D)