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Lynna [10]
3 years ago
11

4 inches = ? centimeters

Mathematics
2 answers:
muminat3 years ago
5 0

Answer:

10.16

Step-by-step explanation:

spin [16.1K]3 years ago
5 0

Answer:

10.16

Step-by-step explanation:

multiply the length value by 2.54

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An object is launched from a launching pad 144 ft. above the ground at a velocity of 128ft/sec. what is the maximum height reach
ollegr [7]

Answer:

18) a. h(x) = -16x² + vx + h(0) ⇒ h(x) = -16x² + 128x + 144

b. The maximum height = 400 feet

c. Attached graph

19) The rocket will reach the maximum height after 4 seconds

20) The rocket hits the ground after 9 seconds

Step-by-step explanation:

* Lets study the rule of motion for an object with constant acceleration

# The distance S = ut ± 1/2 at², where u is the initial velocity, t is the time

  and a is the acceleration of gravity

# The vertical distances h in x second is h(x) - h(0), where h(0)

   is the initial height of the object above the ground

∵ h(x) = vx + 1/2 ax², where h is the vrtical distance, v is the initial

  velocity, a is the acceleration of gravity (32 feet/second²) and x

  is the time

18)a.

∵ The value of a = -32 ft/sec² ⇒ negative because the direction

   of the motion

  is upward

∴ h(x) - h(0) = vx - (1/2)(32)(x²) ⇒ (1/2)(32) = 16

∴ h(x) = vx - 16x² + h(0)

∴ h(x) = -16x² + vx + h(0) ⇒ proved

* Find the height of the object after x seconds from the ground

∵ h(0) = 144 and v = 128 ft/sec

∴ h(x) = -16x² + 128x + 144

b.

* At the maximum height h'(x) = 0

∵ h'(x) = -32x + 128

∴ -32x + 128 = 0 ⇒ subtract 128 from both sides

∴ -32x = -128 ⇒ ÷ -32

∴ x = 4 seconds

- The time for the maximum height = 4 seconds

- Substitute this value of x in the equation of h(x)

∴ The maximum height = -16(4)² + 128(4) + 144 = 400 feet

c. Attached graph

19)

- The object will reach the maximum height after 4 seconds

20)

- When the rocket hits the ground h(x) = 0

∵ h(x) = -16x² + 128x + 144

∴ 0 = -16x² + 128x + 144 ⇒ divide the two sides by -16

∴ x² - 8x - 9 = 0 ⇒ use the factorization to find the value of x

∵ x² - 8x - 9 = 0

∴ (x - 9)( x + 1) = 0

∴ x - 9 = 0 OR x + 1 = 0

∴ x = 9 OR x = -1

- We will rejected -1 because there is no -ve value for the time

* The time for the object to hit the ground is 9 seconds

8 0
3 years ago
rename each mixed number as an equivalent mixed number with the same denominator. 4 6/9= 7 5/3= 3 7/8= 5 19/14=
denis-greek [22]
4 6/9= 38/9   
7 5/3= 26/3
3 7/8= 31/8
5 19/14 =89/14

5 0
3 years ago
Need help with the last three asap
Sunny_sXe [5.5K]
13) Angle 1= 54 Angle 2=36
14) Angle 1=122 Angle 2=58
15) Angle 1=51 Angle 2=39
Attached is the work
Hope this helps!

7 0
3 years ago
A horse walks around a circular track while its trainer stands in the center. The trainer is 14 feet from the horse at all times
max2010maxim [7]

The horse traveled 439.6 feet after walking around the track 5 times

<u><em>Solution:</em></u>

Given that, horse walks around a circular track while its trainer stands in the center

The trainer is 14 feet from the horse at all times

Therefore, radius of circular track = 14 feet

The circumference of circle is the distance traveled by horse for 1 lap

<em><u>The circumference of circle is given as:</u></em>

C = 2 \pi r

Where, "r" is the radius and \pi is a constant equal to 3.14

C = 2 \times 3.14 \times 14\\\\C = 87.92

Thus the distance traveled by horse for one time in circular track is 87.92 feet

<em><u>About how far had the horse traveled after walking around the track 5 times? </u></em>

Multiply the circumference by 5

distance = 5 \times 87.92\\\\distance = 439.6

Thus the horse traveled 439.6 feet after walking around the track 5 times

5 0
3 years ago
The price of a technology stock was $9.70 yesterday. Today, the price fell to $9.59 Find the percentage decrease. Round your ans
kogti [31]

Answer:

round it to 20×10 there's you answer

5 0
3 years ago
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