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3 years ago

Someone please help and Explain!!! Show work

Mathematics

1 answer:

frosja888 [35]3 years ago

3 0

Hope this is understandable (the writing and the explanation)

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a picture has dimensions of 5 cm by 10 cm. IF you want to enlarge the picture to a size of 32 1/2 cm x 65 cm by what fraction wo

Vikentia [17]

Picture 1: 5 by 10
Picture 2: 32.5 by 65
Divide two lengths or two widths.
65/10= 6.5
That is the ratio.
To check, multiply the width of Picture 1 by the ratio and see if it gives you the second picture's width.
5 x 6.5=32.5
Hope this helps.

3 0

3 years ago

There are 231 cubic inches in a gallon a large juice can has a diameter of 6 inches and a height of 10 inches. How many gallons

andrew-mc [135]

Answer: Juice Can can hold up to 1.22 gallon of Juice

Step-by-step explanation:

We are given that a large juice can has a diameter of 6 inches and has a height of 10 inches

we need to find how many gallons of juice does the can hold

Please see a "can" has a cylindrical figure

so here we can find the volume of juice that the given "can" holds using the formula for Volume of cylinder

Volume of cylinder is given by :

$V=\pi r^2h$

we know that height h = 10 inches , diameter d = 6 inches so radius would be r = 6/2 = 3 inches

now plugging the value of h = 10 and r = 3 in the formula for volume of cylinder , we get:

$V=\pi (3)^2(10)$

$V=\pi (9)(10)$

so V=282.74 cubic inches

Now we need to find the volume in terms of gallon

so we will convert 282.74 cubic inches to gallon

Known fact :

231 cubic inches = 1 gallon

so , 1 cubic inches = 1/231 gallon

and 282.74 cubic inches = (1/231)*(282.74) gallon

Hence, Volume in gallons = 1.22 gallon

7 0

4 years ago

Use the definition of continuity and the properties of limits to show that the function f(x)=x sqrtx/(x-6)^2 is continuous at x

qaws [65]

Answer:

The function is continuous at x = 36

Step-by-step explanation:

From the question we are told that

The function is $f(x) = x * \sqrt{ \frac{x}{ (x-6) ^2 } }$

The point at which continuity is tested is x = 1

Now from the definition of continuity ,

At function is continuous at k if only

$\lim_{x \to k}f(x) = f(k)$

$\lim_{x \to 36}f(x) = \lim_{n \to 36}[x * \sqrt{ \frac{x}{ (x-6) ^2 } }]$

$= 36 * \sqrt{ \frac{36}{ (36-6) ^2 } }$

$= 7.2$

Now

$f(36) = 36 * \sqrt{ \frac{36}{ (36-6) ^2 } }$

$f(36) = 7.2$

So the given function is continuous at x = 36

because

$\lim_{x \to 36}f(x) = f(36)$

7 0

3 years ago

Cant figure how to answer this

Aleksandr-060686 [28]

Answer:

-5(2) (-2) +2 + 4(-2) +7 = 21

-4(2) -2(-2) -10 = -14

21/14 = -1.5 or -1 1/2

4 0

3 years ago

.<br> Round 12.5829 to the nearest hundredth. Rounded number = ___

Savatey [412]

The hundredth's place is the second number after the decimal. In order to round to such place, you look at the number after it. For example, the number in the hundredth's place in 47.9025 is 0. In order to round, you must look at the number after it, in this case 2. Since 2 is less than 5, the 0 will not be rounded up and remain 0. The answer to your particular question is 12.58.

3 0

4 years ago

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