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Ksenya-84 [330]
3 years ago
8

a metal rod 9.4 meters long is cut into two piecew. One piece is 3 times as long as the other m. find the length of the longer p

iece in meters. round your answer to the nearest tenth of a meter.
Mathematics
1 answer:
Grace [21]3 years ago
8 0
x-shorter\ piece\\3x-longer\ piece\\\\x+3x=9.4\\4x=9.4\ \ \ \ \ |:4\\x=2.35\\\\3\cdot2.35=7.05\approx7.1\\\\The\ longer\ piece\ has\ 7.1\ meters
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At time t=0 hours, a tank contains 3000 litres of water. Water leaks from the tank. At the end of every hour there is x% less wa
Margaret [11]

Answer:

x = 2; K = 0.98

Step-by-step explanation:

At time, t = 0, Volume of Water = 3,000 litres

After t hours , the Volume of water in the tank = Vt

At the end of every hour there is a x% less water in the tank then at the start of the hour

After 1 hour, volume of water left Vt = V1

V1 = 3,000 - 3000 × (x/100)

V1 = 3,000 - 30x

After 2 hours, Volume of water left is V2

V2 = (3,000 - 30 x) - (3,000 - 30 x) × (x/100)

V2 = (3,000 - 30 x) - (3000x - 30x²)/100

V2 = {100(3000 - 30x) - x(3000 - 30x)} /100

V2 = {(3000 - 30x)(100 - x)}/100

Recall, V2 = 2881.2

Therefore

{(3000 - 30x)(100 - x)}/100 = 2881.2

(3000 - 30x)(100 - x) = 288120

300000 - 3000 x - 3000 x + 30 x² = 288120

30 x ² - 6000 x + 11880 = 0

Dividing both sides by 30

x² - 200 x + 396=0

Factorizing:

(x -198)(x-2) = 0

x = 198 or x = 2

Since the percentage by which the water reduces cannot be greater than 100, x = 2 is chosen.

Step 2: Solving for k

Given that Vt=KtV0

K = Vt/V0

At t = 1

V1 = 3000 - 30x

V1 = 3000 - 30 × 2

V1 = 3000 - 60

V1 = 2940

K = 2940/3000

K = 0.98

5 0
3 years ago
The area of a circle A is 85π ft2. ∠BAC is a central angle of the circle, and m∠BAC = 36°
BlackZzzverrR [31]
As stated the area of the circle is 85π ft2. The area of the sector BAC is a portion of this full circle area. the sector is made of 2 radii and arc that has rotated by 36°.
the magnitude of the central angle in the circle is 360°
Area for 360° central angle -  85π ft2
then the area for 1°            =  85π ft2/360°
the area of 36° sector         =  85π ft2/360° x 36°
                                           =  8.5π ft2
7 0
3 years ago
Describe the graph of a function g by observing the graph of the base function f ? ​
never [62]

Answer:

Choice 3 is your answer

Step-by-step explanation:

The format of the function when you move it side to side or up and down is

f(x) = (x - h) + k,

where h is the side to side movement and k is up or down.  The k is easy, since it will be positive if we move the function up and negative if we move the function down from its original position.

The h is a little more difficult, but just remember the standard form of the side to side movement is always (x - h).  If our function has moved 3 units to the left, we fit that movement into our standard form as (x - (-3)), which of course is the same as (x + 3).  Our function has moved up 5 units, so the final translation is

g(x) = f(x + 3) + 5, choice 3 from the top.

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3 years ago
What is 1,376 x 6 equal to
Arte-miy333 [17]

Answer:

8256

Step-by-step explanation:

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2 years ago
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What is greater 4.3 or 4.30
Nataly_w [17]

Answer:

They are both the exact same

Step-by-step explanation:

4 0
3 years ago
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