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Tanzania [10]
3 years ago
5

Solve the equation using square roots 6x2=54

Mathematics
1 answer:
o-na [289]3 years ago
4 0

6x^2 = 54

x^2 = 9

x = -3, 3

Hope this helps!

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The cost of a pair of jeans was changed from $47 to $42.13. What was the percent change?
zhenek [66]

Answer:

10.36

Step-by-step explanation:

  1. $47 - $42.13 = $4.87
  2. ($4.87 ÷ $47) × 100 = 10.36%

6 0
3 years ago
What is the volume of the right rectangular prism with a length of 18 inches, a width of 4 inches, and a height of 10 inches? 32
egoroff_w [7]

Answer:

720in

Step-by-step explanation:

V=LWH

V=(18)(4)(10)

7 0
2 years ago
Read 2 more answers
Jordan will hike the trail shown at a rate of ​mi/h. Write a linear equation to represent the distance Jordan still has to walk
agasfer [191]

Answer:

<em>y = (-mi/h)x + b</em>

y = total distance left to cover

-mi/h = speed at wich he is covering ground

b = the total distance to cover from start to finish

Step-by-step explanation:

Slope Intercept form without other variables filled is shown like this with <em>mx </em>being the slope and <em>b </em>being the y intercept

<em>y = mx + b</em>

all we need to do is fill in known variables with hours multiplied by <em>x </em>represented as <em>m</em>...

<em>y = (-mi/h)x + b</em>

note the negative symbol, this shows that the higher that miles an hour (mi/h) aka speed is, the more distance he will cover REDUCING the distance to cover faster meaning the line will slope DOWNWARD

<em>b</em> would be the the total distance that he has started with, meaning on the point where the line crosses the y axis, the number it crosses at will represent how much he has started with

7 0
2 years ago
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
faltersainse [42]

Answer:

V = 34,13*π   cubic units

Step-by-step explanation: See Annex

We find the common points of the two curves, solving the system of equations:

y²  = 2*x                           x = 2*y  ⇒  y = x/2

(x/2)² = 2*x

x²/4 = 2*x

x  =  2*4         x  = 8      and   y = 8/2       y = 4

Then point  P ( 8 ;  4 )

The other point Q is  Q ( 0; 0)

From these  two points, we get the integration limits for dy ( 0 , 4 )are the integration limits.

Now with the help of geogebra we have: In the annex segment ABCD is dy then

V = π *∫₀⁴ (R² - r² ) *dy   =  π *∫₀⁴ (2*y)² - (y²/2)² dy =  π * ∫₀⁴ [(4y²) - y⁴/4 ] dy

V = π * [(4/3)y³ - (1/20)y⁵] |₀⁴

V =  π * [ (4/3)*4³ - 0 - 1/20)*1024 + 0 )

V = π * [256/3  - 51,20]

V = 34,13*π   cubic units

3 0
2 years ago
A rectangular auditorium seats 1302 people. The number of seats in each row exceeds the number of rows by 11. Find the number of
sveticcg [70]
Number of seats = 42

Seats per row x row = 1302
s x r = 1302

rows + 11 = seats per row
r + 11 = s

s x r = 1302
(r + 11) x r = 1302
r^2 + 11r = 1302
r^2 + 11r - 1302 = 0
(r + 42) x (r - 31) = 0
r = -43 or 31

Cannot have negative rows so the number of rows is 31, and the number of seats per row is 31 + 11 = 42

Check: 31 x 42 = 1302 :)
8 0
3 years ago
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