Answer:
45 degrees
Step-by-step explanation:
a right angle is 90 degrees and there is a line splitting it in half equaly. We have to also divide 90 by 2 then which is 45 so 45 degrees.
3/8+5/16
=3/8+5/16
=6/16+5/16
=6+5/16
=11/16
(Decimal: 0.6875)
<u><em>Answer:</em></u>
AC = 10sin(40°)
<u><em>Explanation:</em></u>
The diagram representing the question is shown in the attached image
Since the given triangle is a right-angled triangle, we can apply the special trig functions
<u>These functions are as follows:</u>
sin(θ) = opposite / hypotenuse
cos(θ) = adjacent / hypotenuse
tan(θ) = opposite / adjacent
<u>Now, in the given diagram:</u>
θ = 40°
AC is the side opposite to θ
AB = 10 in is the hypotenuse
<u>Based on these givens</u>, we will use the sin(θ) function
<u>Therefore:</u>
![sin(40) = \frac{AC}{10}\\ \\AC = 10sin(40)](https://tex.z-dn.net/?f=sin%2840%29%20%3D%20%5Cfrac%7BAC%7D%7B10%7D%5C%5C%20%5C%5CAC%20%3D%2010sin%2840%29)
<span>11÷12</span><span> can be written as eleventh twelves
</span>
Answer: 3
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. Find the prime factorization of 27:
or ![27=3^{3}](https://tex.z-dn.net/?f=27%3D3%5E%7B3%7D)
2. The index of the radical is 3, therefore, you have rewrite it as following:
![\sqrt[3]{27}=\sqrt[3]{3^{3}}=3^{\frac{3}{3}}=3^{1}=3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%7D%3D%5Csqrt%5B3%5D%7B3%5E%7B3%7D%7D%3D3%5E%7B%5Cfrac%7B3%7D%7B3%7D%7D%3D3%5E%7B1%7D%3D3)
3. Therefore, as you can see, the answer is 3.