Pythagoras theorem ! (a²+b²=c²)
Q1) AC = √4.8²+3.6²
= √36
= 6cm
Q2) AB= √17.55² - 6.75²
= √262.44
= 16.2cm
Q3) BC= √14² - 6²
= √160
= 12.64911
= 12.6 cm (to 3sf)
Answer:
a. 26 units²
Step-by-step explanation:
The x-axis conveniently divides the figure into a triangle (above the x-axis) and a trapezoid (below the x-axis).
The top triangle has a base of 4 and a height of 3, so its area is ...
triangle area = (1/2)(4 units)(3 units) = 6 units²
The bottom trapezoid has a top base of 4, a bottom base of 6, and a height of 4 units. Its area is ...
trapezoid area = (1/2)(b1 +b2)h = (1/2)(4 units + 6 units)(4 units) = 20 units²
The total area of the figure is ...
area = triangle area + trapezoid area = 6 units² + 20 units² = 26 units²
The best answer from the options that proves that the residual plot shows that the line of best fit is appropriate for the data is: ( Statement 1 ) Yes, because the points have no clear pattern
X Given Predicted Residual value
1 3.5 4.06 -0.56
2 2.3 2.09 0.21
3 1.1 0.12 0.98
4 2.2 -1.85 4.05
5 -4.1 -3.82 -0.28
The residual value is calculated as follows using this formula: ( Given - predicted )
1) ( 3.5 - 4.06 ) = -0.56
2) ( 2.3 - 2.09 ) = 0.21
3) ( 1.1 - 0.12 ) = 0.98
4) (2.2 - (-1.85) = 4.05
5) ( -4.1 - (-3.82) = -0.28
Residual values are the difference between the given values and the predicted values in a given data set and the residual plot is used to represent these values .
attached below is the residual plot of the data set
hence we can conclude from the residual plot attached below that the line of best fit is appropriate for the data because the points have no clear pattern ( i.e. scattered )
learn more about residual plots : brainly.com/question/16821224
Answer:
(x²-16x)
Step-by-step explanation:
thats all just multiply then
I'm guessing d b are equal and a and c are equal or I don't think we would be able to solve so going on that
if angle d is 57 angle b must also be 57
A parallelegram has angles that add up to 360
So 360= 57+57+2c
Solve
360=114+2c
-114 both sides
246=2c
÷2 both sides
123=c