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3 years ago

How to estimate 5.82-1.76 and round to the nearest whole number

1 answer:

5 0

Ok so how you round is from the tens place in 5.82 the tens place is equal to 80 and you would round to 6 and 1.76 would also be rounded to 2 because is more than 5.so the answer will be 6-2 and that is 4.I hope this helps♡♡♡

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12, 18, 24, or 30 miles in one week

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3 years ago

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a slide on the playground is 12 and 1/2 FEET long..... its 3 feet and 7 inches longer then the small slide.... how long is the s

11111nata11111 [884]

You simply have to add the two numbers together, however, you have to convert everything into inches only. You know that there are 12 inches in one foot. To calculate the length of the longer slide, it is simply doing 12 feet TIMES 12 (since there are 12 inches in one foot). This makes 144 inches. Add 1/2 feet in there, this is adding 1/2 of 12 inches, which is 12/2=6 inches. The long slide is therefore 144+6= 150 inches. Now you want to convert 3 feet and 7 inches into inches only. 3 feet TIMES 12 = 3x12=36 inches. Add 7 inches to this, and you will get 36+7=43 inches. To know how long the small slide is, subtract 43 inches from 150 inches, and this will give you 150-43=107 inches. So, the small slide is 107 inches. :)

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3 years ago

Of the four choices given, which two, when written as a system, have a solution of (–4, 5)? the options and A), B), C), and D) a

Oksi-84 [34.3K]

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2 years ago

A scoop of ice cream has 1.5 inch radius. How talk should the cream cone of the same radius be in order to contain all of the ic

MAVERICK [17]

Answer:

The cream cone should be 6 inches.

Step-by-step explanation:

Given:

A scoop of ice cream has 1.5 inch radius.

Now, to find the height of the cream cone.

So, we need to get the volume of scoop by putting formula:

Radius (r) = 1.5 inch.

Using the value π = 3.14.

$Volume=\frac{4}{3} \pi r^3$

$Volume=\frac{4}{3}\times 3.14\times 1.5^3\\\\Volume=\frac{4}{3}\times 3.14\times 3.375\\\\Volume=14.13\ inches^3.$

Thus, the volume of the ice cream scoop is 14.13 cubic inches.

So, to put all of the ice cream inside the cone.

We take the cream cone volume as the scoop volume.

Let the height of cone be $h.$

As, given radius is same.

Now, to get the height of the cream cone we put formula of volume:

$Volume=\pi r^2\frac{h}{3}$

$14.13=3.14 \times (1.5)^2\times \frac{h}{3}\\\\14.13=3.14\times 2.25\times \frac{h}{3}$

Multiplying both sides by 3 we get:

$42.39=3.14\times 2.25\times h\\\\42.39=7.065\times h$

Dividing both sides by 7.065 we get:

$6=h$

$h=6\ inches.$

Hence, the height of the cone = 6 inches.

Therefore, the cream cone should be 6 inches.

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3 years ago

y = c1 cos(5x) + c2 sin(5x) is a two-parameter family of solutions of the second-order DE y'' + 25y = 0. If possible, find a sol

TEA [102]

Answer:

y = 2cos5x-9/5sin5x

Step-by-step explanation:

Given the solution to the differential equation y'' + 25y = 0 to be

y = c1 cos(5x) + c2 sin(5x). In order to find the solution to the differential equation given the boundary conditions y(0) = 1, y'(π) = 9, we need to first get the constant c1 and c2 and substitute the values back into the original solution.

According to the boundary condition y(0) = 2, it means when x = 0, y = 2

On substituting;

2 = c1cos(5(0)) + c2sin(5(0))

2 = c1cos0+c2sin0

2 = c1 + 0

c1 = 2

Substituting the other boundary condition y'(π) = 9, to do that we need to first get the first differential of y(x) i.e y'(x). Given

y(x) = c1cos5x + c2sin5x

y'(x) = -5c1sin5x + 5c2cos5x

If y'(π) = 9, this means when x = π, y'(x) = 9

On substituting;

9 = -5c1sin5π + 5c2cos5π

9 = -5c1(0) + 5c2(-1)

9 = 0-5c2

-5c2 = 9

c2 = -9/5

Substituting c1 = 2 and c2 = -9/5 into the solution to the general differential equation

y = c1 cos(5x) + c2 sin(5x) will give

y = 2cos5x-9/5sin5x

The final expression gives the required solution to the differential equation.

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3 years ago