V: volume of a cone = (πr²h)/3 = 104.67 in³
π: pi = 3.14
r: radius = 1/2 diameter = [unknown]
h: height = 4 in
V = (πr²h)/3
V = r²(πh)/3
r² = (3V)/(πh)
r² = (3 ×104.67)/(3.14 × 4)
r² = 25
r = √25
r = 5 (but remember the radius is only 1/2 the diameter)
thus . . .
<u><em>d = 10 in </em></u>
Complete question :
When the monarch butterfly is migrating to the south, it has an average speed of 80 miles per day. Write an equation that shows the realtionship between the number of days (t) and the distance (in miles) it has traveled (d)
Answer:
d = 80t
Step-by-step explanation:
Given :
Average speed = 80 miles per hour
Distance traveled (in miles) = d
Number of days = t
Equation which shows the Relationship between Number of days and distance traveled :
Recall :
Speed = distance / time
Speed = 80 ; distance = d ; time = t
80 = d/t
80 * t = d
d = 80t
Answer:
9.89 m
Step-by-step explanation:
AC is the hypotenuse (H)
x is the opposite (O)
O and H are in sine
sin=O/H
H=O/sin
H=7.9/sin(53)
=9.89187169943418
3 SF
9.89 m
Answer:
The simplified expression is
20x^2 - 33x - 27
Step-by-step explanation:
(6x - 9 - 2x)(8 + 5x - 5)
We must first rewrite the expression as a product of two binomials.
This can be done by adding like terms
(6x - 9 - 2x)(8 + 5x - 5)
We have,
(4x-9)(5x+3)
Multiplying the resulting binomial expression
(4x-9)(5x+3)
(20x^2+12x-45x-27)
Add the like terms
20x^2-33x-27
The simplified expression is
20x^2 - 33x - 27
Twenty x squared minus thirty-three x minus twenty-seven
