Answer:
3.471 + 7.2516 x
Step-by-step explanation:
Given the data:
(1,3) (2,0) (5,-8) (9, -25) .
X:
1
2
5
9
Y:
3
0
-8
-25
The line of best fit for the data given can be obtained using an online regression calculator :
The equation of best fit for the data is thus;
Best fit equation; y = -3.471 + 7.2516x
Intercept = - 3.471 ;
Slope = 7.2516
Step-by-step explanation:
Let x be the number of Green apples bought.
Then 4x is the number of Red apples bought.
We have x + 4x = 50, so x = 10.
Since there are 10 green and 40 red apples, 40 - 10 = 30 more red apples than green apples.
Answer:
72°
Step-by-step explanation:
Given that the radius(r) of the circle is 10 units and the length of arc ABC is 16π
The length of arc ABC = 
Where θ is the central angle in degrees.
Since the length of arc ABC is 16π,
The angle in a circle = 360°, therefore:
Central angle for arc AB (θ) = 360 - Central angle for arc ABC = 360 - 288 = 72°
Therefore the arc measure of arc AB is 72°
V= bh
b=pi x r^2 =
3.14x3.24= 10.1736
V= 10.1736x5.1
V= 51.88536
and just round it to about 51.9
Answer:
11.6m
Step-by-step explanation:
A 13.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall (above the fire truck) if the ladder makes an angle of 59 22' with the horizontal.
We solve the above question using the Trigonometric function of Sine.
sin θ = Opposite/ Hypotenuse
Hypotenuse = Length of the ladder = 13.5m
Opposite = d
θ = 59° 22'
= 59° + 22/60
= 59° + 0.367
= 59.367°
Hence,
sin 59.367 = d/13.5m
d = sin 59.367 × 13.5m
d = 11.616057416m
Approximately = 11.6m
Therefore, the distance d the ladder goes up the wall is 11.6m
