Answer:
Step-by-step explanation:
a. the balloon is rising because the slope is positive. the slope is 40 because when you simplify y-160 = 40 (x-1) it gets you y = 40x +120
b. it is ascending (bc positive) at 40 feet per minute
c. it was at 120 feet in the air. The 120 is the y intercept
Answer:
$14.80
Step-by-step explanation:
Original bike price: $185
Tax: 8% OR 0.08 as a DECIMAL
To find your answer, multiply the bike price by the DECIMAL (number) tax amount:
185 x 0.08
= 14.8
Therefore, Alex paid $14.80 in tax.
Answer:
31-24x/2x-5
Step-by-step explanation:
multiply: (16-24x+15)/(2x-5)
calculate: (31-24x)/(2x-5)
write the division as a fraction: 31-24x/2x-5
Answer:
46.25 feet squared
Step-by-step explanation:
base area = 5x2 = 10
you need to find how tall the faces of the prism are now. You can do this using the pythagorean theorem: a^2+b^2=c^2
5^2+2.5^2=c^2 and 5^2+1^2=c^2
(since it is a rectangular pyramid)
c= 5.60 and c= 5.01
now be can find the surface area of the 4 triangles
SA= 5.60x2 and SA= 5.01x5
SA=11.2 and SA= 25.05
add all the components (11.2, 25.05, 10) together to get the final surface area: 46.25