Answer:
x = 4/7
Step-by-step explanation:
x^3 = 64/ 343 // - 64/ 343
x^3 - ( 64/ 343 ) = 0
x^3 - 64 / 343 = 0
1*x^3 = 64/ 343 // : 1
x^3 = 64/ 343
x^3 = 64/ 343 // ^ 1/3
x = 4/ 7
The answer to your question is: Yes, someone undoubtedly can.
Although you haven't asked to be told or shown how to solve it, I'm here
already, so I may as well stick around and go through it with you.
The sheet is telling you to find the solutions to two equations, AND THEN
DO SOMETHING WITH THE TWO SOLUTIONS. But you've cut off the
instructions in the pictures, so all we have are the two equations, and
you'll have to figure out what to do with their solutions.
<u>First equation:</u>
(2/5) x - 6 = -2
Add 6 to each side:
(2/5) x = 4
Multiply each side by 5:
2x = 20
Divide each side by 2 :
<u>x = 10</u>
<u>Second equation:</u>
-3y + 1/4 = 13/4
Subtract 1/4 from each side:
-3y = 12/4
Multiply each side by 4 :
-12 y = 12
Divide each side by -12 :
<u> y = -1</u>
Answer:
c. t = 18; the Chang family has been driving for 18 hours
Step-by-step explanation:
Given:
D(t) = 2,280 - 60t
Find t when D(t) = 1,200
D(t) = 2,280 - 60t
1200 = 2280 - 60t
Subtract 2280 from both sides of the equation
1200 - 2,280 = 2280 - 60t - 2,280
- 1080 = - 60t
Divide both sides by -60
- 1080 / -60 = - 60t / -60
18 = t
t = 18
This means the Chang family has been driving for 18 hours
c. t = 18; the Chang family has been driving for 18 hours
Answer:
See below.
Step-by-step explanation:
Part A:
triangle QPR and triangle PSR are similar
Part B:
Triangle QPR is a right triangle with right angle QPR.
Triangle SPR is a right triangle with right angle PSR.
Angle QPR of triangle QPR corresponds to and is congruent to angle PSR of triangle PSR.
Angle R of triangle QSR corresponds to and is congruent to angle R of triangle PSR.
The similar triangles by AA Similarity are
triangle QPR and triangle PSR
Part C:
QR/PR = PR/SR
16/PR = PR/4
PR² = 16 * 4
PR² = 64
PR = 8
Answer: V = 706.5 cubic millimeters
Step-by-step explanation:
V = (3.14)(r^2)(h)
V = (3.14)(5^2)(9)
V = (3.14)(25)(9)
V = 706.5
