Answer:
$16.03
Step-by-step explanation:
The equation of the line that passes through (3, −2) and is perpendicular to y = (3/4)x + 6 will be y = -(4/3)x + 2. Then the correct option is B.
<h3>What is the equation of a perpendicular line?</h3>
Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. Or if the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.
The equation of the line is given below.
y = (3/4)x + 1/3
The slope of the line is 3/4. Then the slope of the perpendicular line will be
Slope = - 1 / (3/4)
Slope = - 4 / 3
Then the equation of the line will be
y = -(4/3)x + D
The line is passing through (3, -2), then the value of D will be
-2 = (-4/3) × 3 + D
-2 = - 4 + D
D = 2
The equation of the line that passes through (3, −2) and is perpendicular to y = (3/4)x + 6 will be y = -(4/3)x + 2. Then the correct option is B.
More about the equation of a perpendicular line link is given below.
brainly.com/question/14200719
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Answer:
4% of all adults go to a health club at least twice a week
Step-by-step explanation:
- the proportion of adults who belong to health clubs is 10% that is 0.10
- the proportion of these adults (health club members) go to the club at least twice a week is 40%, that is 0.40.
Thus, the proportion of all adults go to a health club at least twice a week is
0.10 × 0.40 = 0.04, that is 4%
Answer:
<em>x + 3</em>
Step-by-step explanation:
<em>Image below</em>
Answer:
a) The can can hold 24.54 inches³ of pop
b) There will be 22.09 inches³ of pop in the can
c) The cone can hold 7.36 inches³ of pop
Step-by-step explanation:
a) We need to work out the volume of the can, using this equation: volume of a cylinder = πr²h
- The diameter is half the radius: r = 1.25 inches
- r² = 1.5625
- π × 1.5625 × 5 = 24.54369... ≈ 24.54 inches³
b) We will still work out the volume of the can, but the height is 4.5 inches instead of 5 inches:
- r² = 1.5625
- π × 1.5625 × 4.5 = 22.0893233... ≈ 22.09 inches³
c) The cone will have a height of 4.5 inches and a diameter of 5 inches; the volume of a cone = 1/3(πr²h)
- 1/3(π × 1.5625² × 4.5) = 7.3631077... ≈ 7.36 inches³
Hope this helps!
