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Mnenie [13.5K]
3 years ago
8

Estimate square root of 43 to the nearest tenth

Mathematics
1 answer:
boyakko [2]3 years ago
8 0

Answer:

6.6

Step-by-step explanation:

√(43)= 6.5574385243

So your tenth is the coefficient (number) on the right side of the decimal which in this case would be 5 so when rounding you look at the hundredths place which is 2 spaces away from the decimal going right so in this case would be 5 as well, if the number you're rounding to is 5 or above (5-9) then you change then number in front of it by adding 1.

For example: 0.4815 if were rounding the tenths place we look at the 8 (hundredths place) and since 8 is over 5 we make the 4 (tenths place) into a 5 giving us the answer .5

so for your problem the answer would be 6.6

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What is the square root of 30 to two decimal places
bonufazy [111]

Answer:

30.0

Step-by-step explanation:

7 0
3 years ago
Find the distance between the two points rounding to the nearest tenth (if necessary). (-7, -5)(-3, 4)
aleksklad [387]

Answer:

9.8 ( to the nearest tenth )

Step-by-step explanation:

calculate the distance using the distance formula

d = √( x₂ - x₁ )² + ( y₂ - y₁ )²

with (x₁, y₁ ) = (- 7, - 5) and (x₂, y₂ ) = (- 3, 4)

d = \sqrt{(-3+7)^2+(4+5)^2} = \sqrt{16+81} = \sqrt{97} = 9.8


4 0
3 years ago
Kesha threw her baton up in the air from the marching band platform during practice. The equation h(t) = −16t² + 54t + 40 gives
lapo4ka [179]

Answer:

a) 40 feet

b) 54 ft/min

c) 4 mins

Step-by-step explanation:

Solution:-

- Kesha models the height ( h ) of the baton from the ground level but thrown from a platform of height hi.

- The function h ( t ) is modeled to follow a quadratic - parabolic path mathematically expressed as:

                           h ( t ) = −16t² + 54t + 40

Which gives the height of the baton from ground at time t mins.

- The initial point is of the height of the platform which is at a height of ( hi ) from the ground level.

- So the initial condition is expressed by time = 0 mins, the height of the baton h ( t ) would be:

                         h ( 0 ) = hi = -16*(0)^2 + 54*0 + 40

                         h ( 0 ) = hi = 0 + 0 + 40 = 40 feet

Answer: The height of the platform hi is 40 feet.

- The speed ( v ) during the parabolic path of the baton also varies with time t.

- The function of speed ( v ) with respect to time ( t ) can be determined by taking the derivative of displacement of baton from ground with respect to time t mins.

                        v ( t ) = dh / dt

                        v ( t )= d ( −16t² + 54t + 40 ) / dt

                        v ( t )= -2*(16)*t + 54

                        v ( t )= -32t + 54

- The velocity with which Kesha threw the baton is represented by tim t = 0 mins.

Hence,

                        v ( 0 ) = vi = -32*( 0 ) + 54

                        v ( 0 ) = vi = 54 ft / min

Answer: Kesha threw te baton with an initial speed of vo = 54 ft/min

- The baton reaches is maximum height h_max and comes down when all the kinetic energy is converted to potential energy. The baton starts to come down and cross the platform height hi = 40 feet and hits the ground.

- The height of the ball at ground is zero. Hence,

                     h ( t ) = 0

                     0 = −16t² + 54t + 40

                     0 = -8t^2 + 27t + 20

- Use the quadratic formula to solve the quadratic equation:

                     

                    t = \frac{27+/-\sqrt{27^2 - 4*8*(-20)} }{2*8}\\\\t = \frac{27+/-\sqrt{1369} }{16}\\\\t = \frac{27+/-37 }{16}\\\\t =  \frac{27 + 37}{16} \\\\t = 4

Answer: The time taken for the baton to hit the ground is t = 4 mins

3 0
3 years ago
Can someone help me with this?
Gre4nikov [31]
D

Hope this helps!!!!!
7 0
3 years ago
Read 2 more answers
A keypad has only the letters A−D. What is the total number of possible outcomes if the code has 3 letters?
____ [38]

Answer:

9

Step-by-step explanation:

Because 3 letter to find that just do 3 times 3 which = 9

Hope This Helped

4 0
2 years ago
Read 2 more answers
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