What is the best approximation for the perimeter of polygon ABCDE? A. 11.0 units B. 17.0 units C. 24.3 units D. 22.1 units

Answer:

1,2

Step-by-step explanation:

Answer:

Spain

Step-by-step explanation:

Pablo Picasso was born in Malaga, Spain.

Answer:

Málaga, Spain

Step-by-step explanation:

The probabilities on each branch are shown in the tree diagram, and P(HT) = 2/9.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

The probability of H is 2/3 and the probability of T is 1/3.

P(HT) = P(H in the first trial)P(T in the second trial)

From the tree diagram:

P(HT) = (2/3)(1/3) = 2/9

Thus, the probabilities on each branch are shown in the tree diagram, and P(HT) = 2/9.

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Answer:

The shorter piece is 1.5 ft long.

The longer piece is 1.75 ft long.

Step-by-step explanation:

We are given that one piece is 3 inches longer than the other, which we can convert to 0.25 ft. We are also told that the total length of the board is 2.25 ft. This means that the two pieces must have lengths that add up to 2.25 ft.

Therefore, we can set up the equation:

x + (x + 0.25) = 2.25

Solving for x, we find that x = 1.5 ft, which is the length of the shorter piece. The length of the longer piece must then be 1.75 ft.

Answer:

You need to attach the pictures and ask again.

Step-by-step explanation:

I cannot see any attachments.

The arc length is 0.785 units and the diagonal  is √2 units

The question requires that we determine the lengths of the blue line and the arc

The blue line is the diagonal of the square, whose side length (l) is

l = 1

The diagonal is then calculated as:

[tex]d = l * \sqrt 2[/tex]

This gives

[tex]d = 1 * \sqrt 2[/tex]

[tex]d = \sqrt 2[/tex]

The diagonal divides the vertex of the square into 45 degrees a piece, and the diagonal represents the radius of the arc

This means that:

[tex]r = \sqrt 2[/tex]

[tex]\theta = 45^o[/tex]

The arc length is:

[tex]l = \frac{\theta}{360} * \pi r^2[/tex]

So, we have:

[tex]l = \frac{45^o}{360} * 3.14 * \sqrt 2^2[/tex]

This gives

[tex]l = \frac{282.6}{360}[/tex]

Divide

l = 0.785

Hence, the arc length is 0.785 units and the diagonal  is √2 units

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Answer:

Step-by-step explanation:

The areas of four regions are given. We can simply add them to find the sum. To express them as a product, we need to look at common factors.

The total of the given area expressions is ...

  3x² +2x -6x -4 = 3x² -4x -4 . . . . sum

Extending the table to show common factors of each row and column, we have ...

  [tex]\begin{array}{c|c|c|}&3x&2\\\cline{1-3}x&3x^2&2x\\\cline{1-3}-2&-6x&-4\\\cline{1-3}\end{array}[/tex]

Since each cell of the table is the product of the corresponding common factors, we can write the area as the product ...

  (x -2)(3x +2) . . . . product

Answer:

Step-by-step explanation:

its  A y+6=-2

The Surface area of the cylindrical tower is 5181 ft cube.

Surface area of cylinder = 2πr² + 2πrh

where

Therefore,

r = 30 / 2 = 15 ft

h = 40 ft

Surface area of cylinder = 2πr(r + h)

Surface area of cylinder = 30π(40 + 15)

Surface area of cylinder = 30π(55)

Surface area of cylinder = 1650π

Surface area of cylinder = 5181 ft³

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Answer:

Volume: x(x+6)(x+2) Area: [tex]x^{2}[/tex] + 8x +12

Step-by-step explanation:

Volume Explanation:

To find the volume of a 3d figure, we must multiply the length, width, and the height. Therefore we multiply (x)(x+6)(x+2)= [tex]x^{3}[/tex] + 8[tex]x^{2}[/tex] + 12x. Simplify this equation and we will get x(x+6)(x+2) for the formula to find the volume of the 3D figure.

Area:

To find the area of a 2D figure, we must multiply length x height. Therefore, we multiply the equations (x+6)(x+2)= [tex]x^{2} + 2x + 6x +12[/tex] to get a final answer of [tex]x^{2} +8x +12[/tex].  This will be the formula when you find the area of the 2D figure in question.

Step-by-step explanation:

whoever created the original question and then probably the people copying it need to focus on writing these things correctly.

I assume this means

log(9) - log(4) ÷ log(3) - log(2)

or is anything combined in brackets ? like it could be e.g. log(4 ÷ log(3)). just as example.

and I guess we mean logarithm to the base of 10, right ?

anyway, if my assumptions are correct, then we only need to follow the regular priorities of mathematical operations :

1. brackets

2. exponents

3. multiplications and divisions

4. additions and subtractions

so, we need to start with the division in the middle, and then do the subtractions.

log(4) ÷ log(3) = 1.261859507...

log(9) - 1.261859507... = -0.307616998...

-0.307616998... - log(2) = -0.608646993...

or was the original question

(log(9) - log(4)) ÷ (log(3) - log(2))

?

that would be way more interesting.

we use the rules of logarithm :

e.g.

log(a×b) = log(a) + log(b)

log(a/b) = log(a) - log(b)

so, we have then

log(9/4) ÷ log(3/2)

and that is equal to

log(3/2 × 3/2) ÷ log(3/2)

(log(3/2) + log(3/2)) ÷ log(3/2) = 1 + 1 = 2

if that is the case, you really, REALLY need to pay more attention to brackets and other symbols in problem definitions.

Answer:

the length of the shorter leg : 7 cm

the length of the longer leg : 24 cm

the length of the Hypotenuse : 25 cm

Step-by-step explanation:

a = 3b + 3

c = 3b + 4

and we know the general Pythagoras :

c² = a² + b²

(3b + 4)² = (3b + 3)² + b²

9b² + 24b + 16 = 9b² + 18b + 9 + b²

24b + 16 = 18b + 9 + b²

6b + 7 = b²

b² - 6b - 7 = 0

the general solution to such a quadratic equating is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x is called b.

a = 1

b = -6

c = -7

b = (6 ± sqrt((-6)² - 4×1×-7))/(2×1) = (6 ± sqrt(36 + 28))/2 =

= (6 ± sqrt(64))/2 = (6 ± 8)/2

b1 = (6+8)/2 = 14/2 = 7 cm

b2 = (6-8)/2 = -2/2 = -1 cm

a negative number did not make sense for a side length, so,

b = 7 cm

is our solution for one leg.

a = 3b + 3 = 3×7 + 3 = 24 cm

c = 3b + 4 = 25 cm

Answer:

D

Step-by-step explanation:

We will use the 2 coordinates marked on the graph as the reference.

The coordinates are:

A(4,-2)

B(0,3)

We know that the standard form for equation of line is:

y = mx+c

where m is the slope of the equation

and c is the y-intercept.

Very clearly, the y-intercept is where the line intercepts the y line.

and in this case, y-intercept = c = 3.

Now we know that the equation of line is now

y = mx + 3

To find m, the slope, we can use the 2 above coordinates.

slope of line = [tex]\frac{y1-y2}{x1-x2} \\=\frac{-2-3}{4-0} \\=\frac{-5}{4} \\=-\frac{5}{4}[/tex]

(Note: There is a 2nd way to find the slope in this case, let me know if you are interested to find out.)

Equation of line: [tex]y=-\frac{5}{4} x+3[/tex]

Therefore the answer is D.

Answer: B. False

Step-by-step explanation:

You assume the inverse of what you intend to prove is true, not the converse.

[tex]\frak{Hi!}[/tex]

[tex]\orange\hspace{300pt}\above3[/tex]

                      If two lines are perpendicular to each other, their slopes

                     are negative inverses of each other.

                     Thus,

                    [tex]\boldsymbol{\sf{Slope\:of\:this\:line=4}}}[/tex]

                    [tex]\boldsymbol{\sf{Negative \ Inverse=-\displaystyle\frac{1}{4}}}[/tex]. See how this works?

                    We took 4, then took its opposite, and flopped that over

[tex]\orange\hspace{300pt}\above3[/tex]

Definition-:

Perpendicular lines are lines that intercept each other at a 90 deg. angle, which is usually called the right angle.

The value of the expression [tex]\frac{x^2 + 3y^2}{xy}[/tex] is [tex]\frac{6y^2 + 2xy}{xy}[/tex]

The equation is given as:

[tex]x^2 - 2xy - 3y^2 = 0[/tex]

Add 3y^2 to both sides

[tex]x^2 - 2xy = 3y^2[/tex]

Add 3y^2 to both sides

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

Add 2xy to both sides

[tex]x^2 + 3y^2 = 6y^2 + 2xy[/tex]

Divide through by xy

[tex]\frac{x^2 + 3y^2}{xy} = \frac{6y^2 + 2xy}{xy}[/tex]

Hence, the value of [tex]\frac{x^2 + 3y^2}{xy}[/tex] is [tex]\frac{6y^2 + 2xy}{xy}[/tex]

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Answer:

13.5

Step-by-step explanation:

8x+y-10x-y=-27

-2x=-27

x=13.5

Answer:

64

Step-by-step explanation:

Answer:

80 mm

Step-by-step explanation:

the same amount (and that means the same volume) of pepper is in each shaker.

the volume of a cylinder is

base area × height = pi×r² × height

with r being the radius (which is always half of the diameter).

the volume of the filled in pepper in the first shaker is then

pi×(32/2)²×45 = pi×16²×45 = pi×256×45 = 11,520pi mm³ =

= 36,191.14737... mm³

now let's see what height in the second shaker we will reach by filling the same 11,520pi mm³ of pepper into it.

so, we have

pi×(24/2)²×height = 11,520pi

12²×height = 11,520

144×height = 11,520

height = 11,520/144 = 80 mm

so, the shaker on the right is filled up to 80 mm with pepper.

Answer:

80 mm

Step-by-step explanation:

I got it right on edmentum

As the x-values go to negative infinity, the function’s values go to positive infinity.

The end behavior of a function f(x) is given by; lim x → ∞ (f(x))

In the given graph attached, we can see that when as x goes to negative infinity (to the left) the y-values go up (toward positive infinity) since y is pointing upwards.  

Thus, lim x → ∞ (f(x)) = ∞ and as such the correct option is As the x-values go to negative infinity, the function’s values go to positive infinity.

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The x intercept and y intercept of the line x + 3y = 12 are (12, 0) and (0, 4) respectively.

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the line x + 3y = 12

The y intercept is at x = 0, hence:

0 + 3y = 12

y = 4

The x intercept is at y = 0, hence:

x + 3(0) = 12

x = 12

The x intercept and y intercept of the line x + 3y = 12 are (12, 0) and (0, 4) respectively.

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Answer:I can’t see

Step-by-step explanation:show fullscreen

Answer:

Making comparisons of numbers or values and considering relationships are also aspects of proportional reasoning.

Example:
A worker being paid by the number of hours he/her worked.

#EDIT #1

Answer: [tex]g(x)=9x-7[/tex]

Step-by-step explanation:

See the attached image.

The function that represents the growth of this culture of bacteria as a function of time is; P = 1500e^(1.0986t)

The formula for exponential growth is;

P = P₀e^(rt)

where;

P = current population at time t

P₀ = starting population

r = rate of exponential growth/decay

t = time after start

Thus, from our question we have;

4500 = 1500 * e^(r * 1)

4500/1500 = e^r

e^r = 3

In 3 = r

r = 1.0986

Thus, the function that represents the growth of this culture of bacteria as a function of time is;

P = 1500e^(1.0986t)

For the culture to double, then;

P/P₀ = 2. Thus;

e^(1.0986t) = 2

In 2 = 1.0986t

t = 0.6931/1.0986

t = 0.631 hours

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The value of card(B) is card(B) = 4954

The set is given as:

B={1,3,5,7,9,….9907}

The above set is the set of odd numbers from 1 to 9907.

The number of elements is the cardinality

And it can be calculated using

L = a + (n - 1)d

Where

L = 9907

a = 1

d = 2

So, we have:

9907 = 1 + (n - 1)2

Subtract 1 from both sides

9906 = (n - 1)2

Divide by 2

n - 1 = 4953

Add 1 to both sides

n = 4954

This means that

card(B) = 4954

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