Answer:
<2 = 133°
Step-by-step explanation:
< beside <2 = 47
<2 + < beside <2 =180 (straight line)
<2 + 47 =180
<2 = 180-47
<2 = 133°
Answer:
correct answer is option B
Step-by-step explanation:
as we know equation of line
y = m x + c....................(1)
where c is the intercept
m is the slope
m = 
m = 
m = 35
putting value of m in equation (1)
we get
y = 35 x + c
from the graph we can clearly see that line is passing through (0,0) hence
0 = 35 (0)x + c
c = 0
hence the equation of line comes out to be
y = 35 x
correct answer is option B
Answer: 380.5
Step-by-step explanation: you can type it into desmos graphing calculator
Given:
Height of cylinder = 12 cm
Diameter of cylinder = 6 cm
To find:
Surface area of the cylinder
Solution:
Radius = 6 ÷ 2 = 3 cm
Surface area formula:

Substitute the given values.


= 286.2 cm²
The surface area of the cylinder is 286.2 cm².
I assume that sequence is 3,4,6,9,13,18,24
delta y=1,2,3,4,5,6
delta delta y=1,1,1,1
So this sequence has a constant acceleration, which is the property of a parabola or quadratic equation of the form ax^2+bx+c=y. Using three data points to create a system of equations we can solve for the three variables.
9a+3b+c=6, 4a+2b+c=4, a+b+c=3, getting differences
5a+b=2, 3a+b=1, and getting differences again
2a=1, a=1/2, making 5a+b=2 become:
2.5+b=2, b=-1/2, making a+b+c=3 become:
1/2-1/2+c=3, c=3
So the quadratic equation that produces that sequence is:
y=x^2/2-x/2+3 or more neatly
y=(x^2-x+6)/2, so the 8th term is:
y(8)=(8^2-8+6)/2
y(8)=(64-8+6)/2
y(8)=62/2
y(8)=31