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3 years ago

Write and solve a division problem involving decimals.Explain how you know where to place the decimal point in the quotient.

1 answer:

defon3 years ago

6 0

Mike has 10 and a half cookies (10.5). Mike wants to share these cookies with 5 friends. How many cookies does each friend get. The answer is 2.1 one (Or 2 and 1 crumb I guess lol). You place the decimal point where ever it was originally so you would place it after the 2 and before the one. It's been a while since I've done one of these problems so sorry if I'm a little rusty.

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of a parabolic arch and is to have a span of 100 feet. The height of the arch a distance of 40 feet from the center is to be 10

JulsSmile [24]

Answer:

y = -0.11x^2 + 1.111x

y = 28 ft .... Height at center

Step-by-step explanation:

Given:-

- The span of the arc is = 100 ft

- The height of the arch is 40 ft at 10 ft from center.

Find:-

- The equation of parabolic arch and the height of the arch at center.

Solution:-

- We will take the height y as a function of width x of the parabolic arch. The general equation of the arch is such that it passes through origin. The equation is given in the form as:

y = f(x) = ax^2 + bx

Where,

a, b, and c are constants to be determined.

- We will use the condition i.e the span of entire arch is 100 ft. So we could say that y = 0 for x = 100 ft. Then we have:

0 = f(100) = a(100)^2 + b(100) ..... 1

- Using second condition i.e y = 10 ft at 40 ft from center. Since, due to symmetry we know that center lies at x = 50 ft. Then y = 10 ft at x = 10 ft. The condition can be expressed in the form:

10 = f(10) = a(10)^2 + b(10) ..... 2

- Solving the 2 Equations simultaneously, we have:

0 = a(100)^2 + b(100)

10*10 = a*10*(10)^2 + b(10)*10

100 = a(10)^3 + b(100)

- Subtract both equations:

100 = a*(10^3 - 100^2)

a = 100 / ( 1000 - 10000)

a = -0.11

- Then using a = -0.11 evaluate b:

-1.11 + 10b = 10

b = 11.11 / 10 = 1.111

- The equation of the parabola is:

y = -0.11x^2 + 1.111x

-The height of the arch at center where x = 50 ft.

y = -0.11(50)^2 + 1.111(50)

y = -27.5 + 55.5

y = 28 ft

- The height of the parabolic arch at center is given as y = 28 ft.

4 0

3 years ago

2(7x+4)=4x-6(2-x)+7what is the answer to this trigonometry question

Arte-miy333 [17]

Answer:

i havw bno

Step-by-step explanation:

hdaskdjha

8 0

2 years ago

4/9 / 9/5= the answer is

mr Goodwill [35]

Answer:

20/81

Step-by-step explanation:

Without parentheses, it is hard to tell what you are dividing. We assume you want ...

(4/9)/(9/5)

Then ...

$\displaystyle\frac{\left(\frac{4}{9}\right)}{\left(\frac{9}{5}\right)}=\frac{4}{9}\cdot\frac{5}{9}=\frac{4\cdot 5}{9\cdot 9}=\frac{20}{81}$

_____

As written (without parentheses), your expression is evaluated left to right, so evaluates to ...

4/(9·9·5) = 4/405

7 0

3 years ago

Evaluate each expression if x = -2 and y = 3<br><br> number 34 <br><br> show step by step please!!

GREYUIT [131]

The answer is I’m the photo

7 0

2 years ago

Joe is making a ramp.Find the length of the ramp if the height is 7meters and the base is 24 meters

Musya8 [376]

Answer:

the length of the ramp is 25 meters

Step-by-step explanation:

Joe is making a ramp. Ramp forms a right angle triangle with the base

So we use Pythagorean theorem to find the length of the ramp

AC^2(hypotenuse) = AB^2 + BC^2

Length of ramp is the hypotenuse = $\sqrt{height^2 + base^2}$

= $\sqrt{7^2 +24^2}$

= $\sqrt{49 + 576^2}$

= $\sqrt{625}$

= 25

so the length of the ramp is 25 meters

8 0

2 years ago