a convex hexagon has exterior angles of 33°, 38°, 27°, 43°, and 60°. what is the measure of an exterior angle at the sixth vertex.

Answer:

r = 3.95 mm (nearest hundredth)

Step-by-step explanation:

[tex]\textsf{volume of a cylinder} = \pi r^2h[/tex]

(where r = radius and h = height)

Given, volume = 686 mm² and height = 14 mm:

[tex]686=\pi r^2\times14[/tex]

[tex]\implies\pi r^2=686 \div14=49[/tex]

[tex]\implies r^2=49 \div \pi[/tex]

[tex]\implies r=\sqrt{49 \div \pi }=3.949327085...[/tex]

[tex]\implies r=3.95 \ \textsf{mm}[/tex]

The equation which shows the true solution to the given logarithmic equation is,

[tex]x=1[/tex]

The power of the log rule says that the number written in the front of the logarithmic function can be raised to the power of the logarithmic function.

For example,

[tex]n\log_b(M)=\log_b(M)^n[/tex]

Given information-

The logarithmic equation given in the problem is,

[tex]3\log_2(2x)=3[/tex]

Using the power rule of the logarithmic function,

[tex]\log_2(2x)^3=3[/tex]

Using the exponent rule of the logarithmic function the above equation can be written as,

[tex](2x)^3=3[/tex]

Solve it further,

[tex]8x^3=3\\x^3=1\\x=1[/tex]

Hence, the equation which shows the true solution to the given logarithmic equation is,

[tex]x=1[/tex]

Learn more about the rules of logarithmic function here;

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Answer:

its B on edge

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

8×7=56

4×?=?

?= 56÷4

?= 14

Answer:

Divide the numerator by the denominator.

Step-by-step explanation:

Answer:

slope: 2 as we see, with every increase in x, y increase twice the more.

Step-by-step explanation:

The slope of the linear graph in the question obtained using the ratio of the rise and run of the line is 2.

Recall :

Slope = Rise / Run

From the graph :

Rise = y2 - y1 = 5 - (-1) = 5 + 1 = 6

Run = x2 - x1 = 2 - (-1) = 2 + 1 = 3

The slope of the graph can be expressed thus :

Slope = Rise / Run = 6 /3 = 2

Therefore, the slope of the line in the graph attached is 2

Answer: 0

Step-by-step explanation:

By substituting the f(x) = -x and g(x) = x into the first equation, we get -x = x so the only answer to the question is 0

Answer:

Yes, they're the same.

Step-by-step explanation:

-3-2c can be re-written as -1(2c+3) and -3 can be re-written as -1(3). So you can rewrite the fraction as -1(2c+3)/-1(3). The -1's go away and the new fraction is (2c+3)/3.

Answer:

  B. 15 m^3

Step-by-step explanation:

The volume of a rectangular prism is the product ...

  V = lwh

For the given values of l, w, h, the volume is ...

  V = (5 m)(1 m)(3 m) = 15 m^3

Answer:

53 i think

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

1) Use Negative Power Rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex].

[tex]3.4x*\frac{1}{10^{15} } +8.1*x*10^{-14}[/tex]

2) Use Negative Power Rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex].

[tex]3.4x*\frac{1}{10^{15} } +8.1*x*\frac{1}{10^{14} }[/tex]

3) Use this rule: [tex]\frac{a}{b} *\frac{c}{d} =\frac{ac}{bd} .[/tex]

[tex]\frac{3.4x*1}{10^{15} }+8.1*x*\frac{1}{10^{14} }[/tex]

4) Simplify [tex]3.4x*1[/tex] to [tex](3.4)x[/tex].

[tex]\frac{3.4x}{10^{15} } +8.1*x*\frac{1}{10^{14} } }[/tex]

5) Use this rule: [tex]\frac{a}{b} *\frac{c}{d} =\frac{ac}{bd} .[/tex]

[tex]\frac{3.4x}{10^{15} } +\frac{8.1*x*1}{10^{14} }[/tex]

6) Simplify [tex]8.1*x*1[/tex] to [tex]8.1(x)[/tex].

[tex]\frac{3.4x}{10^{15} } *\frac{8.1*x}{10^{14} }[/tex]

Answer:

23.43 feet

Step-by-step explain

by my accurate accusations

Answer:

32 : 8

8 : 2

4 : 1

Step-by-step explanation:

32 : 8

8 : 2 (32/4 = 8, 8/4 = 2)

4 : 1 (32/8 = 4, 8/8 = 1)

Hope this helps!

Answer:

a.  median 1.5

Step-by-step explanation:

If you sort the numbers from least to greatest, the middle numbers are 1 and 2, so the median is the middle of those, 1.5. And the mean is 2.75, so it can't be the others.

Answer:

0

Step-by-step explanation:

Since displacement is the distance between the journey starting point and the final point if they both are the same the difference becomes zero and hence the displacement.

Displacement = final point - initial point

(both are same)

= same - same

= 0

Answer:

Step-by-step explanation:

The exact value for the expression √52 – √13 + √117 given in the question above is 4√13

a√b + c√b = (a + c)√b

With the above information in mind, we can simplify the express given in the question above.

√52 – √13 + √117

Recall

√52 = √(4 × 13) = 2√13

√117 = √(9 × 13) = 3√13

Thus

√52 – √13 + √117 = 2√13 – √13 + 3√13

√52 – √13 + √117 = (2 – 1 + 3)√13

√52 – √13 + √117 = 4√13

Learn more about surd:

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Answer:

A =50,35925926

=50,36

B=3,066645963

=3,07

C=16,69411765

=16,7

Hope this is what u looking for,

I will send a pic give me a minute

Rhombus has all sides equal. The total amount of paper that will be needed to cover the wall is 396 in².

Given to us

Each rhombus will be 6 inches tall and 4 inches wide.

A.)

The area of each rhombus can be found using the formula,

[tex]Area = \dfrac{1}{2} \times d_1 \times d_2[/tex]

We know that diagonals of the rhombus are of length 6 in and 4 in. therefore,

[tex]Area = \dfrac{1}{2} \times 6 \times 4\\\\Area = 12\ in^2[/tex]

Hence, the area of the single rhombus is 12 in².

We know that the wall is 11 feet long, also, 1 foot = 12 inches, therefore,

11 feet = 132 in.

Now, since the wall is 132 in long and the width of the rhombus is 4 in, therefore, the number of rhombi that will be needed,

[tex]\dfrac{132}{4} =33[/tex]

Hence, the number of rhombi that will be needed is 33.

We know the area of each paper rhombus, also, we know the number of rhombi that will be needed. Therefore,

[tex]33 \times 12 = 396\ in^2[/tex]

Hence, the total amount of paper that will be needed to cover the wall is 396 in².

Learn more about Rhombus:

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Answer:

3 rhombi are connected at a point, side by side. All sides are congruent.

Juan is making a model out of rhombi. Each rhombus will be connected to the one before it. Each rhombus will be 6 inches tall and 4 inches wide.

How much paper does he need for each rhombus?

✔ 12

square inches

If his wall is 11 feet long, how much paper does he use?

✔ 396

square inches

Step-by-step explanation:

egd

Answer:

the probability is 3/5

Step-by-step explanation:

you have the numbers 2, 4, 6

and the numbers 3, 5

the 1 doesn't count, the question says numbers greater than or equal to 2

so, the remaining numbers add up to 3/5

Answer:

Use the following formula:

[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Step-by-step explanation:

Use "change in y over change in x"

-> See attached for more

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

21.15 hrs

Step-by-step explanation:

I divided 55 by 2.6 to get the 21.15.

Have a good day!

Answer:

D. 2144.6

Step-by-step explanation:

volume of a sphere is 4/3 * pi * r^3

we've been given the value of our radius as 8 and also the value for pi is 3.142 so in you solve using the formula you get 2144

[tex]\\ \rm\Rrightarrow V=4/3\pi r^3[/tex]

[tex]\\ \rm\Rrightarrow V=4/3\pi (8)^3[/tex]

[tex]\\ \rm\Rrightarrow V=4/3\pi 512[/tex]

[tex]\\ \rm\Rrightarrow V=170.6(4)\pi[/tex]

[tex]\\ \rm\Rrightarrow V=682.4cm^3[/tex]

Answer:

7v+70

1v x 7=7v

10 x 7=70

Step-by-step explanation:

Sorry if wrong!

Answer:

the answer is

7v + 70

Answer/Step-by-step explanation:

5/8 is not close to 1 in this context. If you want to be accurate, don't estimate. Add the 2 numbers.

Brainliest?!

Answer:

x = [tex]\frac{25}{4}[/tex] so the answer is B

Step-by-step explanation:

Answer:it’s 10x + 12

Step-by-step explanation:

your welcome

The sum of ten times a number and 12 can be written as 10x + 12.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The expression "ten times a number" can be represented as 10x, where x is the number.

So, "the sum of ten times a number and 12" can be written as:

10x + 12

This expression represents a mathematical operation where 10 times the number is added to 12.

Thus,

The sum of ten times a number and 12 can be written as 10x + 12.

Learn more about expressions here:

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#SPJ2

Answer:  1/11

Step-by-step explanation:

The probability that the selected piece will be red velvet is equal to the amount of red velvet cake divided by the total amount of cake.

Therefore, it would be 3/(25+1+2+3+2)

= 3/33

= 1/11 when simplified

Answer:

y = 55°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

100° is an exterior angle of the triangle , then

y + 45° = 100° ( subtract 45° from both sides )

y = 55°

Answer:

x^2y−7xy+10xy^2

Step-by-step explanation:

(the first y isn't up but I tried)

anyways, hope this helped! :)

Answer:

[tex]4x^2y-7xy+10xy^2[/tex]

Step-by-step explanation:

We have [tex]\left(6x^2y-8xy+7xy^2\right)+\left(3xy^2-2x^2y+xy\right)[/tex] and need to add them together.

Though complicated at first, we can simplify by taking out the parenthesis and making this whole question into one equation.

[tex]\left6x^2y-8xy+7xy^2\right+\left3xy^2-2x^2y+xy\right[/tex]

Now combine like terms, meaning you can only add the terms that have the same ending, in math, you cannot add numbers that have different exponents or variables.

Therefore:

[tex]\left6x^2y-8xy+7xy^2\right+\left3xy^2-2x^2y+xy\right[/tex]

[tex]6x^2y-2x^2y-8xy+xy+7xy^2+3xy^2[/tex]

[tex]4x^2y-7xy+10xy^2[/tex]

Answer:

I believe it's the 1st one.

HOPE IT HELPS! BE SAFE :3

Answer:

A

Step-by-step explanation: