Answer:
1) option c
2) option d
3) option a
4) option a
5) option c
Step-by-step explanation:
1. Given that in ΔRST, ∠R=63°, ∠T=90° and so ∠S=27°
Also, cosec=hyotenuse/opposite side
Given RS=23 and ST=10.4
So, cosec27=RS/RT=23/RT
sec=hypotenuse/adjacent side
sec27=RS/ST=23/10.4
And cot=adjacent/opposite side
So, cot63=RT/ST=RT/10.4
2. formula:- sinθ=opposite side/hypotenuse
cosecθ=hypotenuse/opposite side
∴ sinθ *cosecθ = (opposite side/hypotenuse) * (hypotenuse/opposite side) = 1
3. Formula :- tan(360-θ) = -tanθ
∴ tan(300) = tan(360-60) = -tan30°
tan30° = √3
∴tan300° = -√3
4.
5. sinθ= opposite side/hypotenuse
cosecθ = hypotenuse/opposite side
∴ cosecθ = 1/sinθ
Given sinθ = 0.3090
∴ cosecθ = 1/0.3090 = 3.2362
Answer:
92
Step-by-step explanation:
Multiplying two negatives together results in a positive.
-23 * -4 = 23 * 4 = 92
42% of 100 is 42 so 42% of is half of the first answer, therefore the answer is 21.
The answer of the matrix equation will be ![\left[\begin{array}{ccc}-2\\3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%5C%5C3%5Cend%7Barray%7D%5Cright%5D)
<h3>What is Matrix ?</h3>
Matrices are known as the tables of numbers. The numbers are usually put into the big brackets. Matrices are given the 'orders', which describes the size of the matrices. The order is the number of rows 'by' the number of columns. For example: a 2 by 3 matrix has 2 rows and 3 columns.
Step-by-step explanation:
1.Find the inverse matrix of the equation
![\left[\begin{array}{ccc}2&1\\1&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%261%5C%5C1%262%5Cend%7Barray%7D%5Cright%5D)
The inverse of this equation will be :
![\left[\begin{array}{ccc}2&-3\\-1&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%5C%5C-1%262%5Cend%7Barray%7D%5Cright%5D)
2.Multiply it with ![\left[\begin{array}{ccc}5\\4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%5C%5C4%5Cend%7Barray%7D%5Cright%5D)
3.Multiply the rows of the first matrix with the columns of another
2×5+(-3)×4
(-1)×5+2×4
4.Simply each element
The answer will be ![\left[\begin{array}{ccc}-2\\3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%5C%5C3%5Cend%7Barray%7D%5Cright%5D)
To know more about Matrix, visit:
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