Answer:
40 Miles Per hour
Step-by-step explanation:
Simply multiply 2/3 times 60. That equals 40.
Hope this helps! If it does, please mark me brainliest. Thank you! ;)
The number is 142
you first make an equation ;
86+x=2x-56
Add 56 to both sides
142+x=2x
Subtract x from both sides
142=x
The simplified function of ![f(x) = \frac 14(\sqrt[3]{108^x})](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%2014%28%5Csqrt%5B3%5D%7B108%5Ex%7D%29)
is ![f(x) = \frac {3^x}4(\sqrt[3]{4})^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%20%7B3%5Ex%7D4%28%5Csqrt%5B3%5D%7B4%7D%29%5Ex)
<h3>How to simplify the base function?</h3>
The function is given as:
Expand 108
![f(x) = \frac 14(\sqrt[3]{27 * 4})^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%2014%28%5Csqrt%5B3%5D%7B27%20%2A%204%7D%29%5Ex)
Take the cube root of 27
![f(x) = \frac 14 * 3^x(\sqrt[3]{4})^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%2014%20%2A%203%5Ex%28%5Csqrt%5B3%5D%7B4%7D%29%5Ex)
Evaluate the product
Hence, the simplified function of is
Read more about functions at:
brainly.com/question/12431044
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Answer:
D is the similar triangle
Step-by-step explanation:
A quick solution to this problem is using the hypotenuse.
You know that sin(A) is 1/4 and sin is opposite / hypotenuse, so the hypotenuse should be a multiple of 4 in order for the fraction to reduce to 1/4. (it might not be, but I usually do this to see if there's a quick solution)
Using this trick, you find that the only triangle with a hypotenuse that is a multiple of 4 is the last triangle. Now simply double check the other trig. functions to check whether it truly is the same.
To check each trig function, you must first determine the corresponding angle to angle A. Again, for simplicities sake, let's use 1/4 as a determiner for the angle. The only combination of sides divided by hypotenuse that simplifies to 1/4 is 6/24. Therefore 6 must be opposite to the angle, since it's sin(a) = 1/4 and sin is opposite / hypotenuse. So the angle is X.
Now check for both cos and tan
Cos(x) = 6(15)^0.5 / 24 = (15)^0.5 / 4 CHECKS OUT
Tan(x) = 6 / 6(15)^0.5 = 1 / (15)^0.5 CHECKS OUT
Since everything checks out, then answer D is truly correct.
