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Korolek [52]
3 years ago
14

What is 4 1/3 * 2 1/7 as a mixed number in simplest form?

Mathematics
2 answers:
Ronch [10]3 years ago
4 0

Answer:

9 2/7

Step-by-step explanation:

4 1/3=13/3

2 1/7=15/7

13/3*15/7= 195/21

=9 6/21

=9 2/7

docker41 [41]3 years ago
4 0

Hi there!

Answer:

9 2/7

Step-by-step explanation:

4 1/3 = 13/3

2 1/7 = 15/7

Now you have to multiply

Which equals to: 195/21

Since this is a improper fraction, you have to divide.

195 divided by 21.

=9 2/7

Below is a picture of how you should divide (using long division).

~Have a great day!~

If you have any questions, feel free to ask!

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Which of the following options have the same value as 96% of 25?
Doss [256]
A and B are correct because 96/100 is equivalent to 0.96, which is also 96%.
3 0
3 years ago
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Ron is designing a new slide for the amusement park in town the slide makes an angle of 39 degrees with the ground.The top of th
Fynjy0 [20]

Answer:

The length of the slide he needs to make = AC = L = 14.3 ft

Step-by-step explanation:

From the Δ ABC

AC = Length of the slide = L

AB = 9 ft

\theta = 39 °

From  Δ ABC

\sin \theta = \frac{AB}{AC}

Put all the value in the above formula

\sin 39 = \frac{9}{L}

L = \frac{9}{0.629}

L = AC = 14.3 ft

Therefore the length of the slide he needs to make = AC = L = 14.3 ft

3 0
3 years ago
Question
dem82 [27]

Answer:

AABC and AXYZ are similar triangles. The lengths of two sides of each triangle are shown. Find the lengths of the third side of each triangle

7 0
2 years ago
Find the surface area of a rectangular prism that has the following dimensions.length: 2 ft width: 14 in. height: 11 in.
Komok [63]
To find the surface area of the rectangular prism the area of all the sides must be found and added together.

The formula for the surface area of a rectangular prism can be expressed as: 2lw + 2lh + 2hw where 
l = length
h = height
w = width

Before plugging in the values in the equation the length of the prism must be converted to inches 
1 ft. = 12 in.
Therefore 2 ft. = 24 in.

By plugging in the values of length, width, and height into the equation 
2(24)(14) + 2(24)(11) + 2(14)(11) = 1508 in.²

8 0
3 years ago
What is the antiderivative of 3x/((x-1)^2)
Maslowich

Answer:

\int \:3\cdot \frac{x}{\left(x-1\right)^2}dx=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C

Step-by-step explanation:

Given

\int \:\:3\cdot \frac{x}{\left(x-1\right)^2}dx

\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx

=3\cdot \int \frac{x}{\left(x-1\right)^2}dx

\mathrm{Apply\:u-substitution:}\:u=x-1

=3\cdot \int \frac{u+1}{u^2}du

\mathrm{Expand}\:\frac{u+1}{u^2}:\quad \frac{1}{u}+\frac{1}{u^2}

=3\cdot \int \frac{1}{u}+\frac{1}{u^2}du

\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx

=3\left(\int \frac{1}{u}du+\int \frac{1}{u^2}du\right)

as

\int \frac{1}{u}du=\ln \left|u\right|     ∵ \mathrm{Use\:the\:common\:integral}:\quad \int \frac{1}{u}du=\ln \left(\left|u\right|\right)

\int \frac{1}{u^2}du=-\frac{1}{u}        ∵     \mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1

so

=3\left(\ln \left|u\right|-\frac{1}{u}\right)

\mathrm{Substitute\:back}\:u=x-1

=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)

\mathrm{Add\:a\:constant\:to\:the\:solution}

=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C

Therefore,

\int \:3\cdot \frac{x}{\left(x-1\right)^2}dx=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C

4 0
3 years ago
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