Diego cut 7 smaller boards of equal length from a board that is 9 and one-third feet long. How long is each of the 7 smaller boards?

Step-by-step explanation:

[tex]\dfrac{\sqrt3}{\sqrt8}=\dfrac{\sqrt3\cdot\sqrt2}{\sqrt8\cdot\sqrt2}=\dfrac{\sqrt{3\cdot2}}{\sqrt{8\cdot2}}=\dfrac{\sqrt6}{\sqrt{16}}=\dfrac{\sqrt6}{4}[/tex]

[tex]\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{a}=b\iff b^2=a\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{16}=4\ \text{because}\ 4^2=16[/tex]

Answer:

1920 and 768

Step-by-step explanation:

its 40% of the numbers

40% of 30000 = 12000

40% of 12000 = 4800

next numbers

40% of 4800 = 1920

40% of 1920 = 768

Answer:

you will get the football

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The product of the greatest common factor and a sum is 12 (2 + 3).

Option C is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

24 + 36

We have the following cases:

2 (12 + 18)

3 (8 + 12)

4 (6 + 9)

6 (4 + 6)

12 (2 + 3)

Now,

The greatest common factor.

12 x 2 = 24

12 x 3 = 36

Thus,

12(2 + 3) is the product of the greatest common factor and a sum of (2 + 3).

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Answer:

100 pieces

Step-by-step explanation:

11/220 = 5/x

1100=11x

x=100

Answer:

take the x together

then

2=7x-3x

2=4x

2/4=x

2=x

2 is your ans

I hope it helps mate

I will always help you understanding your assingments

have a great day

#Captainpower:)

Answer:

37/45

Step-by-step explanation:

YEPPP THAT'S ITT DJJSJZJZK

Answer: The answer is 44/50 and the percentage is 88

Step-by-step explanation: Hope my answer helped you! Plz, mark my answer and Thank you!

Answer:

[tex]\frac{-1}{6}[/tex] [tex](2x-5y)[/tex]

Step-by-step explanation:

Answer:

B. 68

Step-by-step explanation:

Answer:

i think 7

Step-by-step explanation:

Answer:

74F

Step-by-step explanation:

If it is 89F on Monday and it went DOWN 15 degrees, you subtract. 89-15= 74. The temp on Monday is 74 degrees F

Answer:

A) (-2, 4)

Step-by-step explanation:

Answer:

x = 0.05

x = 1.57

Step-by-step explanation:

The given equation is:

[tex]e^x-\ln 2x = 3.7[/tex]

Moving all terms to the left side:

[tex]e^x-\ln 2x - 3.7=0[/tex]

Now we define a function:

[tex]y=f(x)=e^x-\ln 2x - 3.7[/tex]

The solutions of the equation are the values of x such that y=0.

Since the function cannot be solved by algebraic methods, we use a graphing tool.

Those points where the graph crosses the x-axis are solutions of the equation.

Please refer to the graph in the figure below.

We can clearly identify there are two solutions at

x = 0.05

x = 1.57

Answer:

407.7

Step-by-step explanation:

volume = (4/3) * π * r³

(4/3)*PI*4.6^3=407.7

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Answer:

1, 2, 3, 6

Step-by-step explanation:

I don't really know how to explain this but if the only change between the two triangles is that it was reflected, then there was no change of any of the angles or side lengths, you just have to make sure you match up the rights angles and the right sides.

Answer:

Hi how are you doing today Jasmine

Answer:

5

Step-by-step explanation:

The median is the middle number when they are put in order from smallest to largest

1,2,4,5,5,8,8

There are 7 number so the middle is between 4th  number

1,2,4     ,5    ,5,8,8

The median is 5

[tex]\sf Answer: [/tex]

[tex]\sf 5 [/tex]

[tex]\sf Step-by-step~explanation: [/tex]

[tex]\sf List~the~numbers~in~order,~from~least~to~greatest. [/tex]

[tex]\sf 1   2   4   5   5   8   8   [/tex]

[tex][The~middle~number~is~5,~so~the~answer~is~going~to~be~5.[/tex]  [tex]This~is~because~a~median~is~the~number~in~the~middle.[/tex]      [tex]''~The~median~is~the~middle~number~in~a~sorted,~ascending~or~descending,~[/tex]    [tex]list~of~numbers~and~can~be~more~descriptive~of~that~data~set~than~the~average~'' ][/tex]

Step-by-step explanation:

Letthenumberofpensbexand

numberofpencilsbey

then

x+y=16ory=16−x

andtheirvalue

8x+1.5y=50

8x+(

2

3

)(16−x)=50

8x+24−(

2

3

)x=50

8x−(

2

3

)x=50−24

(

2

13x

)=26∴x=4

theny=16−x=16−4=12

Answer:

no

Step-by-step explanation:

I calculated

No because something proportional can't have a y-intercept, the 3 is the y intercept so your statement is not proportional.

Answer:

It is B.

Step-by-step explanation:

Edge2021

[tex]w -z =\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))[/tex]

"The number of the form a + ib where a, b are real numbers and [tex]i=\sqrt{-1}[/tex] "

"The polar form of complex number z = x + iy is [tex]z=r~(cos\theta+i~sin\theta)[/tex] where [tex]r=\sqrt{x^{2} +y^{2} }[/tex] and [tex]\theta=tan^{-1}(\frac{y}{x} )[/tex]"

For given question,

We have been given two complex numbers in polar form.

[tex]w=\sqrt{2}(cos(\frac{\pi}{4} )+i~sin(\frac{\pi}{4} ))[/tex] and [tex]z=2(cos(\frac{\pi}{2} )+i~sin(\frac{\pi}{2} ))[/tex]

We simplify above complex numbers.

[tex]w=\sqrt{2}(cos(\frac{\pi}{4} )+i~sin(\frac{\pi}{4} )) \\\\w=\sqrt{2}(\frac{1}{\sqrt{2} } +i~ \frac{1}{\sqrt{2} } ) \\\\w=1+i[/tex]

And the second complex number is,

[tex]z=2(cos(\frac{\pi}{2} )+i~sin(\frac{\pi}{2} ))\\\\z=2(0+i~1)\\\\z=0+2i[/tex]

Now if we find the value of w - z

⇒ w - z = (1 + i) - (0 + 2i)

⇒ w - z = 1 - i

Now we find the polar form of complex number.

[tex]r=\sqrt{1^{2} +(-1)^{2} } \\\\r=\sqrt{2}[/tex]

And the value of [tex]\theta[/tex] would be,

[tex]\theta=tan^{-1}(\frac{-1}{1} )\\\\\theta=tan^{-1}(-1)\\\\\theta=\frac{3\pi}{4}[/tex]

So, w - z in the polar form would be [tex]1+i=\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))[/tex]

Therefore, [tex]w -z =\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))[/tex]

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Answer:

120

Step-by-step explanation:

a^2 + b^2 = c^2

48^2 + x^2 = 52^2

2304 + x^2 = 2704

x^2 = 2704-2304

x^2 = 400

x = 20

52 + 48 + 20 =

120

Answer:

The slope is -3

Step-by-step explanation:

Answer:

slope is -3

Step-by-step explanation:

Answer:

1/2^4

Step-by-step explanation:

Answer: 596 + 860 = 1456

Answer:

Hundreths 3 is in the hundreths

Step-by-step explanation:

Answer:

0.6

Explanation: 60 over 100 would be 60/100, so when converting this into a decimal, the 60 would be in the hundreths place. Therefore, the decimal would be 0.6.

Hope this Helps!