shade in circles and write equivalent fractions 3/6​

Answer:

[tex]\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}[/tex]

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

[tex]\dfrac{AD}{CD}=\dfrac{CD}{DB}[/tex]

We have

[tex]AD=14-8=6\\CD=y\\DB=8[/tex]

Substitute:

[tex]\dfrac{6}{y}=\dfrac{y}{8}[/tex]         cross multiply

[tex]y^2=(6)(8)[/tex]

[tex]y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}[/tex]

For x use the Pythagorean theorem:

[tex]x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}[/tex]

The expression is 5(40+80)

The sum of 40 and 80 can be written as

(40+80)

and when we take the 5 times of the sum

we can write as

5(40+80)

Answer:

The area of the four curved surfaces is the area of one circle with a radius of 4 cm

Area = PI * radius^2

Area = PI * 4 ^ 2

Area = PI * 16 = 50.26548245744 sq cm

Area of entire square = 8 * 8 = 64 sq cm

Area of yellow region = 64 - 50.265 sq cm =

= 13.735 = 13.7 sq cm (rounded to nearest tenth)

Step-by-step explanation:

Answer:

Area of the yellow part = 13.76

Step-by-step explanation:

Remark

Basically you have 4 quarter circles (which will make up the area of 1 circle) which you then have to subtract from the area of the square. Use pi = 3.14 for the circle.

Area of the square

A = s^2

A = 8^2

A = 64

Area of the 4 quarter circles.

Area = 4* (1/4) * Pi * r^2

r = 4   (1/2 of the square's side)

Area = 4*(1/4) * pi * 4^2

Area = pi * 4^2

Area = 16 * pi

Area of the yellow part

Area of the yellow part = Area of the square - Area of the 4 quarter circles.

Area of the yellow part = 64 - 16*pi    This is a possible answer.

Area of the yellow part = 64 - 50.24

Area of the yellow part = 13.76    This is the answer I'd try first.

Answer:

No, it is D.

Step-by-step explanation:

It can not be A or C, because length can not be negative

Because the y is the same, you only have to count the distance of the x-axises.

4 - (-3) is 7 units, which is D.

Answer:   15%

Step-by-step explanation:

[tex]\%\ change=\dfrac{New-Original}{Original}\times 100\\\\\\.\qquad \qquad=\dfrac{207-180}{180}\times 100\\\\\\.\qquad \qquad =\dfrac{27}{180}\times 100\\\\\\.\qquad \qquad =0.15\times 100\\\\\\.\qquad \qquad =\boxed{15\%}[/tex]

The answer would be 15%.

207-180=27

27/180=3/20

3/20x5 = 15/100

15/100=15%

Answer:

15+s=

Step-by-step explanation:

Step-by-step explanation:

Let's set up a proportion.

345.12/4638.34=x/100.

A percent is always out of one hundred and is the part out of a whole, so  to solve for it we must set x equal to the part (345.12) out of the whole (4638.34).

Now if we solve for x it will equal 7.440593, which is kind of a big number. We can round it to the nearest hundredth, 7.44%, or just round it to the nearest percentage 7%.

To calculate the percentage of Louis's income that is taxed, we divide the amount of tax by the total income and multiply by 100. This tells us that Louis pays roughly 7.44% of his monthly income in taxes.

To find out the percentage of income that Louis paid in taxes, we first need to divide the total amount of taxes ($345.12) by Louis's total monthly income ($4638.34) and then multiply by 100 to get the percentage. The calculation would look like this: ($345.12 / $4638.34) * 100. If you compute this, you will find that Louis pays about 7.44% of his monthly income in taxes.

So, the percentage that has been removed from Louis's income for taxes is 7.44%.

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Answer:

Part 1)

Henry's location is at the ordered pair [tex](-3,4)[/tex]

Libray's location is at the ordered pair [tex](2,-3)[/tex]

Part 2) Henry is 5 city blocks at the left of the library and 7 city blocks up of the library

Step-by-step explanation:

Part 1) Write the ordered pairs that represent Henry and the Library

we have that

Henry's location is at the ordered pair [tex](-3,4)[/tex]

Libray's location is at the ordered pair [tex](2,-3)[/tex]

Part 2) Describe Henry's location relative to the library

Observing the graph  

Henry is 5 city blocks at the left of the library and 7 city blocks up of the library

Answer: -1 1/2

Step-by-step explanation:

Answer:

[tex]-(1\frac{1}{2})[/tex]

Step-by-step explanation:

Dividend = [tex]\frac{9}{10}[/tex]

Divisor = [tex]\frac{-3}{5}[/tex]

Now divide [tex]\frac{9}{10}[/tex] by  [tex]\frac{-3}{5}[/tex]

So,  [tex]=\frac{\frac{9}{10}}{\frac{-3}{5}}[/tex]

[tex]=\frac{9}{10} \times \frac{5}{-3}[/tex]

[tex]=\frac{45}{-30}[/tex]

[tex]=\frac{3}{-2}[/tex]

[tex]=\frac{-3}{2}[/tex]

[tex]=-(1\frac{1}{2})[/tex]

So, [tex]\frac{9}{10} \div \frac{-3}{5} = \frac{-3}{2}=-(1\frac{1}{2})[/tex]

your answer is 2,700 cubic centimeters

Answer:

2340

Step-by-step explanation:

the answer is quadratic model :)

Answer:

The 2nd one would be different from the first because you are adding 3.

Step-by-step explanation:

-2 and 8 are the roots of that problem found by factoring.

Answer:

They can be introduced 24 different ways

Step-by-step explanation:

To find this, use the factorial function (!)

4! = 4 * 3 * 2 * 1 = 24

Answer:

They're name and age.

Step-by-step explanation:

Step 1: The student would say his/her name.

Step 2: The student would say his/her age.

Step 3: The student would say his/her birthday.

Answer: 62.8m^2

Step-by-step explanation:

Surface area of a cylinder = [tex]2\pi r^{2} + 2\pi rh[/tex]

r = 2m, h = 3m

[tex]2\pi (2)^{2} + 2\pi (2)(3)[/tex]

= 62.83185

Answer:

62.8m^2

Step-by-step explanation: 2\pi r^{2} + 2\pi rh

r = 2m, h = 3m

2\pi (2)^{2} + 2\pi (2)(3)

= 62.83185

Answer:

y = 8

Step-by-step explanation:

Parallel lines are lines which do not intersect. If the line is parallel to the x-axis then it is a horizontal line that intercepts the y-axis at the y-coordinate of the point (-1,8). So the equation of the line is y = b where b is the y-coordinate or y-intercept. Here it is y = 8.

Answer:

See below  

Step-by-step explanation:

Integer exponents are a subset of rational exponents

Integer exponents

An integer exponent is an exponent that is an integer. For example, in the expression y = 5³, the 3 is an integer exponent.

An integer exponent is a power. Thus, 5³ = 5× 5× 5.

Rational exponents

Rational exponents can be expressed as a ratio of integers with nonzero denominators.

Thus, in the expression [tex]y = 5^{\frac{ 2}{3 }}[/tex], the fraction ⅔ is a rational exponent.

A rational exponent is both a power and an nth root. The numerator is the power, and the denominator is the root. Thus,

[tex]5^{\frac{ 2}{ 3}} = \sqrt[3]{5^{2}} = (\sqrt[3]{5}})^{2}[/tex]

How many sides does the polygon have?

I believe this is a octogan.... which has 8 sides.... I'm not a 100% sure though... I hope I helped!

Answer:

The answer is 8

Step-by-step explanation:

because it's an octagon

Answer:

1) [tex](x+1)(x+2)[/tex]

2) [tex](x+5)(x+10)[/tex]

Step-by-step explanation:

You can factorize the quadratics equations by applying the proccedure shown below:

1) [tex]x^2+3x+2[/tex]

Find two number whose sum is 3 and whose product is 2.

These would be 1 and 2.

Rewrite it as folowing:

[tex](x+1)(x+2)[/tex]

 2) [tex]x^2+15x+50[/tex]

Find two number whose sum is 15 and whose product is 50.

These would be 5 and 10.

Therefore, you can rewrite it as folowing:

[tex](x+5)(x+10)[/tex]

The 1st one is (x+2)(x+1)

The 2nd one is (x+5)(x+10)

90-64= 26 degrees .....

Answer:

The lowest of three consecutive numbers is [tex]-32[/tex]

Step-by-step explanation:

The question in English

Find the lowest of three consecutive numbers, if the sum of one-half of the lowest number plus one-third of the highest number exceeds the middle number by five.

Let

x-----> the lowest consecutive number

x+1-----> the middle consecutive number

x+2-----> the highest consecutive number

[tex]\frac{x}{2}+\frac{x+2}{3}=(x+1)+5[/tex]

solve for x

[tex]\frac{x}{2}+\frac{x+2}{3}=(x+1)+5\\ \\ \frac{3x+2x+4}{6}=x+6\\ \\5x+4=6x+36\\ \\6x-5x=4-36\\ \\x=-32[/tex]

Answer:

12 sides

Step-by-step explanation:

Answer:

Step-by-step explanation:

Interior angles is 150 degree

Exterior angles is 360 degree

No, Pavel is not correct. Counting 5 units to the left is the same as saying 5 - 5, which equals zero. Pavel would need to count 10 units to the left of 5 in order to get -5.

Answer:

B) 11√3 - 7√6

Step-by-step explanation:

√48 can be simplified to 4√3, and √54 can be simplified to 3√6.

The equation is now 7√3 - 4√6 + 4√3 - 3√6.

This can be grouped into (7√3 + 4√3) + (-4√6 -3√6).

We get 11√3 - 7√6.

Answer:

Step-by-step explanation:

24n+32=0

24n= -32

24n=-32 all over 8

3n= -4

n= -4/3

The equation could represent p is  P(x) = (x+3)(x-2)^2

The brackets indicate where the curve will intersect the x-axis.

The curve intersects the graph at (0,-3) and (0,2).

That is to say:

x = -3

AND

x = 2

Rearrange the equations so that they equal 0.

x + 3 = 0

x - 2 = 0

The values in the brackets will be used.

We know that x - 2 is a repeating root because the curve only touches it and does not cross it, hence (x-2) is squared.

As a result, your brackets are as follows: (x+3)(x-2)(x-2)

Which of the following can be simplified:

(x+3)(x-2)^2

Where 2 denotes squared.

Answer:

the zero product property because you can set them to 0

Answer:  The correct option is

(C) Zero product property.

Step-by-step explanation:  The given problem is

[tex](x+2)(x+6)=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To conclude that x+2=0 or x+6=0, one must use which of the given properties.

We know that

for any two expressions E and F, we have

[tex]EF=0~~~\Rightarrow E=0~\textup{or}~F=0.[/tex]

This property is known as Zero product property.

Therefore, to conclude x+2=0 or x+6=0 from the given problem (i), we must use the Zero product property.

Thus, (C) is the correct option.

Answer:

What is this question?

Step-by-step explanation:

I'm not sure what you are asking.

Chloe should purchase at least 6 arrangements from Blooms to get a better value compared to Petals Plus, as this is the smallest whole number of arrangements where the total cost at Blooms becomes less than that at Petals Plus.

To determine how many arrangements Chloe should purchase from Blooms to get a better value, we need to compare the total cost of floral arrangements from both stores for varying quantities. We'll calculate the breaking point where the total cost from Blooms becomes less than that from Petals Plus.

Let the number of arrangements Chloe is considering purchasing be denoted by n. The total cost at Petals Plus for n arrangements would be:

Total cost at Petals Plus = $33.04n + $63.00

Similarly, the total cost at Blooms for n arrangements would be:

Total cost at Blooms = $25.07n + $112.00

Chloe gets a better value from Blooms when the total cost at Blooms is less than at Petals Plus:

$25.07n + $112.00 < $33.04n + $63.00

To find the value of n, we'll solve the inequality:

$8.97n > $49.00

n > $49.00/$8.97

n > 5.46

Since Chloe can't purchase a fraction of an arrangement, the smallest whole number of arrangements she should purchase from Blooms to get the better value is 6. Therefore, the answer is option A: 6.