Answer:
9/32 inch diameter pin will not fit into a reamed hole with a diameter of 0.278 inch
Step-by-step explanation:
Diameter of reamed hole = 0.278 inch
Radius of reamed hole = 
Surface area of reamed hole = 
Surface area of reamed hole = 
Surface area of reamed hole = 0.06066794
Diameter of pin = 
Radius of pin =
Surface area of pin = 
Since the surface area of pin is more than the surface area of hole .
So, a 9/32 inch diameter pin will not fit into a reamed hole with a diameter of 0.278 inch
Answer:
x = - 2.5
Step-by-step explanation:
Given that the sketch represents
y = x² + bx + c
The graph crosses the y- axis at (0 , - 14), thus c = - 14
y = x² + bx - 14
Given the graph crosses the x- axis at (2, 0), then
0 = 2² + 2b - 14
0 = 4 + 2b - 14 = 2b - 10 ( add 10 to both sides )
10 = 2b ( divide both sides by 2 )
b = 5
y = x² + 5x - 14 ← represents the graph
let y = 0 , then
x² + 5x - 14 = 0 ← in standard form
(x + 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
The x- intercepts are x = - 7 and x = 2
The vertex lies on the axis of symmetry which is midway between the x- intercepts, thus
the x- coordinate of the turning point is 
= 
= - 2.5
Answer:
35°
Step-by-step explanation:
4x+11 = 5x-24
5x-4x=x
x=24+11
x=35
Answer:
See below
Step-by-step explanation:
a = 15 sqrt 2 sin 45
= 15 sqrt 2 * sqrt( 2 ) /2 = 15 * 2 /2 = 15
sin 60 = a/c
sqrt(3)/2 = 15/c
c = 15 / ( sqrt(3)/2) = 30 / sqrt 3 = 30 sqrt 3 /3 = 10 sqrt 3
Answer:
51 minutes.
Step-by-step explanation:
We have been given that for every 15 minutes of a show, there are two minutes to commercial. At this rate, Leila has seen 45 minutes of a show. We are asked to find the time for which Leila has been watching TV.
We will use proportions to solve our given problem.
Upon substituting our given values, we will get:
Therefore, Leila has been watching TV together for 51 minutes.
