Hey there! I'm happy to help!
To find this other side given an angle and a side, we will use a trigonometric function. The three basic ones are sine, cosine, and tangent. You can remember these and what what they are using the mnemonic "soh cah toa".
SOH: Sine= Opposite/Hypotenuse
CAH: Cosine= Adjacent/Hypotenuse
TOA: Tangent= Opposite/Adjacent
We see that the sides involved are the opposite and hypotenuse.
Therefore, we can write this equation.
sin40= w/28
We multiply both sides by 28 to isolate the w.
28×sin40=w
Now, we find the sine of 40 on our calculator and then we multiply it by 28.
w≈18
Therefore, the answer is 18 cm.
I hope that this helps! Have a wonderful day!
Answer:
Lateral area =
pi * (radius) * √ [ height ^2 + radius^2 ] =
pi * ( 4 ) * √ [ 4^2 + 3^2 ] =
pi * ( 4 ) * √25 =
pi * ( 4 ) * (5 ) =
20 pi units^2 ≈ 62.8 units^2
Step-by-step explanation:
35% of 120 is 42. (42/32 then multiply that by 100)
92% of 125 is 115. (115/92 then multiply that by 100)
Answer:
the same as multiplying them, except you're doing the opposite: subtracting where you would have added and dividing where you would have multiplied. If the bases are the same, subtract the exponents. Remember to flip the exponent and make it positive, if needed.
Step-by-step explanation:
If A and B are equal:
Matrix A must be a diagonal matrix: FALSE.
We only know that A and B are equal, so they can both be non-diagonal matrices. Here's a counterexample:
![A=B=\left[\begin{array}{cc}1&2\\4&5\\7&8\end{array}\right]](https://tex.z-dn.net/?f=A%3DB%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%262%5C%5C4%265%5C%5C7%268%5Cend%7Barray%7D%5Cright%5D)
Both matrices must be square: FALSE.
We only know that A and B are equal, so they can both be non-square matrices. The previous counterexample still works
Both matrices must be the same size: TRUE
If A and B are equal, they are literally the same matrix. So, in particular, they also share the size.
For any value of i, j; aij = bij: TRUE
Assuming that there was a small typo in the question, this is also true: two matrices are equal if the correspondent entries are the same.
