Answer:
Step-by-step explanation:
The diagram shows lines passing through the points of two equations.
We will determine the points through which the lines pass through on the graphs.
Looking at the line on the right hand side of the graph, the slope is
(y2-y1)/x(2-x1) where
y2= 0, y1 = 4
x2 = 3, x1=0
Slope, m = (0-4)/3-0
Slope = -4/3
Recall the equation of a straight line is y = mx + c
Where c is the intercept.
So the equation is y
y = -4x/3 + 4
Looking at the line on the left hand side of the graph, the slope is
(y2-y1)/x(2-x1) where
y2= 0, y1 = 2
x2 = -1, x1 =0
Slope, m = (0-2)/-1-0
Slope = -2/-1 = 2
Applying equation of a straight line is y = mx + c
The equation
y = 2x + 2
So the equations are
-4x/3 + 4. If x lesser than or equal 0
2x + 2. If x greater than 0
The first figure, on left, is the composition of two areas, the area of a 7cm circle and the area of a 7 cm square so:
A=7^2+7^2π/4
A=49+49π/4
A=49(1+π/4) cm^2
A≈87.48 cm^2 (to nearest hundredth of a square centimeter)
...
The second figure is the area of a 15cm by 8cm rectangle minus the area of a 3cm circle so:
A=15(8)-3^2π/4
A=120-9π/4
A=120-2.25π cm^2
A≈112.93 cm^2 (to nearest hundredth of a square centimeter)
Answer:
The number 9 is greater than 1 and less than 10, while its factors are 1, 3 and 9, therefore it is a counter example to the statement.
Step-by-step explanation:
There are four odd numbers between 1 and 10, they are: 3, 5, 7 and 9. Let's check the factors for each of them.
For 3:
Therefore 3 is not a counter example to the statement, because it behaves as stated.
For 5:
Therefore 5 is not a counter example to the statement, because it behaves as stated.
For 7:
Therefore 7 is not a counter example to the statement, because it behaves as stated.
For 9:
Therefore 9 is a counter example to the statement, since it can be divided by 1, 3 and 9.
Saying arccos(-√2/2) is the same as saying cos(x)=-√2/2. This is one the trigonometric values you should have memorized if you are taking a a trig class. In order to get √2/2, x must be equal to 45° or pi/4. But since it is a negative √2/2, the answer would be -45°or -pi/4.
There are technically multiple answers to this, but since you weren't given a range for the answers, I would stick with -45°.
Hope this helps
Step-by-step explanation:
well there is a very simple point that you have mistaken tho:
484cm², 25cm²
Areas are defined in square cm but the radius is in cm
so:
and there you go
