Answer:
b. -33
Step-by-step explanation:
The question is about finding the determinant of a 2×2 matrix
General formula; when given matrix A =[ b c ]
[ d e]
the determinant of A = (e×b)-(c×d)
Evaluate
(3 -3)
(-5 -6) = (-6×3) - ( -5×-3)
= (-18)- ( 15) = -33
Answer:
w = 33.94 ft
Step-by-step explanation:the roof takes the shape of a right angle. The top of the roof is a right angle. To find the width of the house, which is the hypotenuse of the triangular roof, we would apply pythagorean theorem.
Thus:
Square both sides
(to 2 decimal places)
The width of the house = 33.94 ft
The total area of the figure is the area of the square plus the area of the rectangle plus the area of the triangle.
area of the square: (6)*(6)=36cm^2
area of the rectangle: (7)*(6)=42cm^2
area of the triangle: (1/2)*(8)*(6)=24cm^2
total area
At=36+42+24=102cm^2
Answer:
The value of Cos(01) is 0.866 or √3/2
Step-by-step explanation:
In this question, we are asked to calculate the value of cos (01) given the value of sin(01)
Now, given the value of sin (01), we can calculate the value of cos (01).
To get the value of 01, we simply find the value of the arc sin 01
Mathematically since sin (01) = 1/2
(01) = arc sin (1/2)
(01) = 30 degrees
Now since 01 = 30 degrees
cos 01 = Cos (30) = 0.8666 or simply √3/2
Answer:
The statement is false.
Step-by-step explanation:
A parallelogram is a figure of four sides, such that opposite sides are parallel
A rectangle is a four-sided figure such that all internal angles are 90°
Here, the statement is:
"A rectangle is sometimes a parallelogram but a parallelogram is always a
rectangle."
Here if we found a parallelogram that is not a rectangle, then that is enough to prove that the statement is false.
The counterexample is a rhombus, which is a parallelogram that has two internal angles smaller than 90° and two internal angles larger than 90°, then this parallelogram is not a rectangle, then the statement is false.
The correct statement would be:
"A parallelogram is sometimes a rectangle, but a rectangle is always a parallelogram"
