Answer:
Alice can drive 147 miles
Step-by-step explanation:
At first you subtract $17.95 from $40.
Then you are left with $22.05
Finally, you divide $22.05 by $0.15
And you get 147, so she can drive 147 miles without going over her limit.
Answer:
u = 
⁰
Step-by-step explanation:
- As we know that the sum of interior angles of triangle is 180⁰.
So, according to the question :
Hence, the value of u is 3⁰.
Answer:
A: 779 cm²
B: 1837 cm²
Step-by-step explanation:
For both problems, use the formula for surface area of a cylinder:
SA = 2πr² + 2πrh
2πr² is the two bases.
2πrh is the curved surface.
<u>PROBLEM A</u>
"the cylinder is 60 cm long" is h = 60.
If given diameter, you can find "r" by dividing it by 2. d = 2r
Given d = 4, then r = 2.
SA = 2πr² + 2πrh
SA = 2π2² + 2π2(60)
SA = 8π + 240π Add
SA = 248π Exact answer
SA ≈ 779.114978 Answer on calculator
SA ≈ 779 Rounded answer
Remember to include the units.
The surface area is about 779 cm².
<u>PROBLEM B</u>
"80 cm long" h = 80.
"circumference of 22 cm". C = 22. Remember C = 2πr. Find "r".
C = 2πr
22 = 2πr
11 = πr
r ≈ 11/π
SA = 2πr² + 2πrh
SA = 2π(11/π)² + 22(80) Substitute 2πr with the circumference.
SA ≈ 1837.030992 Answer on calculator
SA ≈ 1837 Rounded answer
Remember to include the units.
The surface area is about 1837 cm².
Answer:
y = - 2x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (2, - 3) ← 2 ordered pairs from the table
m = 
= 
= - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (3, - 5 ) , then
- 5 = - 6 + c ⇒ c = - 5 + 6 = 1
y = - 2x + 1 ← equation of line
