The value of the sine, cosine and tangent of the figure will be found as follows:
a] Sine
sin x=(opposite)/(hypotenuse)
opposite=7
hypotenuse=25
thus:
sin x= 7/25
b] Cosine
cos x=adjacent/hypotensue
adjacent=24
hypotenuse=25
cos x=24/25
Tangent
Tan x=opposite/adajcent
opposite=7
adjacent=24
thus
tan x=7/24
Answer:
C
Step-by-step explanation:
To find the area of a composite figure, separate it into the regular parts which make the irregular shape. This shape is composed of a semi-circle and a rectangle. Find the area by finding the area of each shape.
Semi-circle:
The semi-circle has a diameter of 2 + 4 + 2 = 8. The area this figure uses the radius which is half the diameter. The radius is 4. To find the area substitute r = 4 into
. However the semi-circle has a smaller circle cut out of it with radius 2. The area of the smaller circle is
. The semi circle in the shape is the areas subtracted which equals 12π.
Rectangle:
The area of the rectangle is found using A = b*h = 2*5 = 10.
The total area is 12π + 10 meters squared.
Answer:
No solutions
Step-by-step explanation:
|-2x-10| + 4 = 2
Subtract 4 from each side
|-2x-10| + 4-4 = 2-4
|-2x-10| = -2
The absolute value is negative so there are no solutions.
Absolute values are always positive, so they cannot be negative.
Answer:
(1, 1 )
Step-by-step explanation:
Given the 2 equations
y = - 5x + 6 → (1)
y = 3x - 2 → (2)
Since both equations express y in terms of x, equate the right sides
3x - 2 = - 5x + 6 ( add 5x to both sides )
8x - 2 = 6 ( add 2 to both sides )
8x = 8 ( divide both sides by 8 )
x = 1
Substitute x = 1 into either of the 2 equations for corresponding value of y
Substituting x = 1 in (2)
y = 3(1) - 2 = 3 - 2 = 1
Solution is (1, 1 )