8,517 over 1,000
And
Eight, and five hundred seventeen thousandths
Answer:
a) 25 feet
b) Base width 23.57 feet
Step-by-step explanation: The expression:
h(x) = -0,18*x² + 25
is a quadratic function ( a parable). as a < 1 open down
The vertex of the parable is V(x,y)
a) V(x) = - b/2a = 0/2a V(x) = 0 to find V(y) we make use of the original equation and plugging x = 0
y = - 0.18*x² + 25 ⇒ y = 0 + 25 ⇒ y = 25
The Vertex is V ( 0 , 25 )
Now vertex in this case is the maximum height.
h(max) = 25 feet
b) To find how wide is the base of the tunnel. We have to consider that for h = 0 we are at ground level therefore the two roots of the quadratic equation will give the wide of the base of the tunnel
Then
h (x) = -018*x² +25 ⇒ 0 = -018*x² +25 ⇒ x² = 25/0.18
x² = 138.89
x = ± 11.79 ft
So we found interception with x axis and wide of the base is
2 * 11.79 = 23.57 feet
The first one should be alternate interior
The second one should be corresponding
The third should be non of these
The fourth should be alternate exterior
The fifth should be none of these
Answer: i think the answer is 5
Step-by-step explanation:
60 is 40% of 150
Change the percentage (40%) into a decimal by dividing over 100:
40/100 = 0.4
Divide 60 by the decimal (0.4):
60/0.4 = 150
