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3 years ago

What type of number is the square root of 5

Mathematics

1 answer:

storchak [24]3 years ago

8 0

Answer:

Irrational

Step-by-step explanation:

root of 5 = 2.23606797749978969640917366873127623544061835961152572427089…

This number never ends. Another term for it would be a recurring decimal, but it is not exact. Anyway, the square root of 5 is irrational since it is not defined to stop. Even if it was rounded, it would not be exact.

Hope this Helps.

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$12.25 pen set; 60% discount

Inessa05 [86]

As you want a 60% discount, you must find 40% of $12.25.

40% of $12.25 is the same as 2/5 of $12.25.

Now, 12.25 / 5 = 2.45

And, 2.45 x 2 = 4.90

--------------

This means that 60% off $12.25 is $4.90.

6 0

3 years ago

A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is h(t) = -16t2 + 6

katrin2010 [14]

Answer:

Part a) The height of the ball after 3 seconds is $49\ ft$

Part b) The maximum height is 66 ft

Part c) The ball hit the ground for t=4 sec

Part d) The domain of the function that makes sense is the interval

[0,4]

Step-by-step explanation:

we have

$h(t)=-16t^{2} +63t+4$

Part a) What is the height of the ball after 3 seconds?

For t=3 sec

Substitute in the function and solve for h

$h(3)=-16(3)^{2} +63(3)+4=49\ ft$

Part b) What is the maximum height of the ball? Round to the nearest foot.

we know that

The maximum height of the ball is the vertex of the quadratic equation

Convert the function into a vertex form

$h(t)=-16t^{2} +63t+4$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$h(t)-4=-16t^{2} +63t$

Factor the leading coefficient

$h(t)-4=-16(t^{2} -(63/16)t)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$h(t)-4-16(63/32)^{2}=-16(t^{2} -(63/16)t+(63/32)^{2})$

$h(t)-(67,600/1,024)=-16(t^{2} -(63/16)t+(63/32)^{2})$

Rewrite as perfect squares

$h(t)-(67,600/1,024)=-16(t-(63/32))^{2}$

$h(t)=-16(t-(63/32))^{2}+(67,600/1,024)$

the vertex is the point (1.97,66.02)

therefore

The maximum height is 66 ft

Part c) When will the ball hit the ground?

we know that

The ball hit the ground when h(t)=0 (the x-intercepts of the function)

$h(t)=-16t^{2} +63t+4$

For h(t)=0

$0=-16t^{2} +63t+4$

using a graphing tool

The solution is t=4 sec

see the attached figure

Part d) What domain makes sense for the function?

The domain of the function that makes sense is the interval

[0,4]

All real numbers greater than or equal to 0 seconds and less than or equal to 4 seconds

Remember that the time can not be a negative number

6 0

3 years ago

Defined as bounded by two distinct end points that contain every point on the line between its end points.

Alja [10]

This would be the term referred to as a line segment. I hope this helps!

8 0

3 years ago

Read 2 more answers

Bocce is a lawn bowling game that originated in italy. The bocce court below has an area of 1032 square feet.The width of the co

Sphinxa [80]

86 feet

Assuming the court is rectangular in shape then

area = length × width

length = area / width = $\frac{1032}{12}$ = 86 feet

8 0

4 years ago

The prices of 8 sweaters, in dollars, are given.

RSB [31]

First order all the numbers least to greatest.<span>

$28, $28, $30, $31, $35, $36, $41, $43

Because there are two numbers in the middle (no, one middle number).

Add the two together, and divide by 2

31 + 35 = 66

66/2 = 33

</span><span>B.$33 is your answer

hope this helps</span>

8 0

3 years ago