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2 years ago

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Please show all work and explanation.

xFormula1" title="6\frac{1}{4}-4\frac{3}{5}" alt="6\frac{1}{4}-4\frac{3}{5}" align="absmiddle" class="latex-formula">

2 answers:

Olin [163]2 years ago

8 0

Steps:

6 1/4 - 4 3/15 can also be written as 25/4 - 23/5

The LCD of 4 and 5 is 20.

That gives us 125/20 - 92/20.

Now, just subtract the numerators (leave the denominators the same).

That brings us to 33/20, which can be simplified to 1 13/20

Final Answer:

$1\frac{13}{20}$

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<u><em>*Please mark brainliest if that helped!*</em></u>

Tpy6a [65]2 years ago

7 0

Answer:

1 $\frac{13}{20}$

Step-by-step explanation:

1. Convert both $\frac{1}{4}$ and $\frac{3}{5}$ into a common denominator. 4 multiplied by 5 is 20. 20 works for both 4 and five. So convert the denominator into 20. Multiply $\frac{1}{4}$ by $\frac{5}{5}$ and multiply $\frac{3}{5}$ by $\frac{4}{4}$

2. You should've gotten, $\frac{5}{20}$ and $\frac{12}{20}$

3. 6 - 4 = 2, so 2 $\frac{5}{20}$ - $\frac{12}{20}$

4. You have to convert 1 into $\frac{20}{20}$ and add that to $\frac{5}{20}$ . You should've got $\frac{25}{20}$

5. Subtract.

<u><em>The Answer is </em></u>1 $\frac{13}{20}$

I believe I am correct.

Please mark me as brainliest if I am correct

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Find the surface area and volume of cone. A = rs + r2 V = 1/3r2 h A cone's slant height (s) is 14 cm and its radius is 4.5 cm. S

Reptile [31]

Answer:

Surface area = $261.6cm^2$

Volume = $281.2cm^3$

Step-by-step explanation:

To find the surface area of our cone, we are using the formula for the surface area of a cone:

$A=\pir(r+\sqrt{h^2+r^2} )$

where

$A$ is the surface area

$r$ is the radius

$h$ is the height

Notice that the height, radius, and slant height make a right triangle, so to find the height, $h$ , we can use the Pythagorean theorem:

$s^2=r^2+h^2$

$14^2=4.5^2+h^2$

$196=20.25+h^2$

$h^2=196-20.25$

$h^2=175.75$

$h=\sqrt{175.75}$

$h=13.26$ cm

We have all we need now to find the surface area of our cone:

$A=\pir(r+\sqrt{h^2+r^2} )$

$A=\pi(4.5)(4.5+\sqrt{13.26^2+4.5^2} )$

$A=261.6cm^2$

Now, to find the volume of our cone, we are using the formula for the volume of a cone:

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

where

$V$ is the volume

$r$ is the radius

$h$ is the height

Replacing values

$V=\frac{\pi (4.5^2)(13.26)}{3}$

$V=281.2cm^3$

We can conclude that the surface area of our cone is 261.6 square centimeters and its volume is 281.2 cubic centimeters.

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2 years ago

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