Find the area of the window


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The solution of the given inequality is  x/10 + 6 ≥ 8 will be x ≥  20.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given inequality is:-

x / 10  +  6 ≥  8

Put the value of x = 20

20 /10 +  6  ≥ 8

2  +  6   ≥   8

8    ≥    8

So the value of x will be greater than 20 or equal to 20.

Therefore the solution of the given inequality is  x/10 + 6 ≥ 8 will be x ≥  20.

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Answer & step-by-step explanation:

Please see image attached below:

Answer:

650

Step-by-step explanation:

let the unknown feet of room = X

5 paints = 250 square feet of room

13 paints = X

cross multiply

5*X = 250*13

X =3250÷5

X = 650 square feet of room

Answer:

Step-by-step explanation:

if his goat ate 8 flowers why is it asking how many trees?

Answer:

Area = 3430

Step-by-step explanation:

Graphing y = 28x - x^2 with it's limit interval (0<x<28). They ask for four sub-interval of LRAM.

Divide the base of 28 into 4 equal rectangles.

Area = (Base * Height) + (Base * Height) + (Base * Height) + (Base * Height)

Area = (0 * 7) + (147 * 7) + (196 * 7) + (147 * 7)

Area = 3430

The area of triangle FGH that is similar to triangle ABC is: 8 square feet.

If two shapes are similar, the ratio of their areas equals the ratio of the square of their corresponding sides.

Therefore:

area of triangle EFG / area of triangle ABC = FG²/BC²

Plug in the values

area of triangle EFG / 18 = 2²/3²

area of triangle EFG / 18 = 4/9

area of triangle EFG = (18×4)/9

area of triangle EFG = 8 sq. ft.

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Answer:

x = 9

Angle B = 40°

Step-by-step explanation:

Angle A = Angle B

[tex]5x-5=3x+13[/tex]

[tex]5x-3x=13+5[/tex]

[tex]2x=18[/tex]

[tex]x=18/2=9[/tex]

Angle B = 3x + 13 = 3(9) + 13 = 27 +13 = 40°

Hope this helps

Answer:

16 girls.

Step-by-step explanation:

Ignoring for a second the strict gender binary here, let's break down what this problem is telling us. A ratio of 3 boys to 4 girls means that for every 3 + 4 = 7 students, 3 are boys and 4 are girls. A class of 28 students is 4 times bigger than 7, so we can multiply each number in the ratio by 4 to get the count for this larger class. Doing that math, we find 3 · 4 = 12 boys and 4 · 4 = 16 girls.

Answer:

18.7

Step-by-step explanation:

110 % = 1.1

17 x 1.1 = 18.7

ALSO:

percentages are reversible which means that you can also do 17% of 110 which makes it seem more normal.

17% of 110 is also 18.7

Answer: Heyaa! ^

18.7 is 110% of 17 ~ Making your answer be 18.7

Step-by-step explanation:

Evaulte the problem..

Hopefully this helps you! ~

Answer:

4, 45, 75

Step-by-step explanation:

15 miles per 2 min = 7.5 miles per 1 min

2 min = 15 min

4 min = 30 min

6 min = 45 min

10 min = 75 min

Answer:

Below.

Step-by-step explanation:

Area = base * perpendicular height

= 3 * 5

= 15 square units.

The area of the parallelogram is 15 square units.

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal

Area of a two dimensional shape is the total region which is bounded by the object's shape.

If the base and height is known,

Area of a parallelogram = base × height

Given base = 3

Height = 5

Area = 3 × 5 = 15 square units

Hence the required area of the parallelogram is 15 square units.

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Using the given information, the value of the f(3) is 155

From the question, we are to determine the value of f(3)

From the given information,

f(n) = 5f(n-1) + 5

∴ f(2) = 5f(2-1) +5

f(2) = 5f(1) + 5

From the given information,

f(1) = 5

Then,

f(2) = 5(5) + 5

f(2) = 25 + 5

f(2) = 30

Also,

f(3) = 5f(3-1) + 5

f(3) = 5f(2) + 5

∴ f(3) = 5(30) + 5

f(3) = 150 + 5

f(3) = 155

Hence, the value of the f(3) is 155.

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Answer:

40 degrees.

Step-by-step explanation:

< 4 = < 1 = 40 degrees

( as they are vertical  ( opposite) angles)

( US = vertical, UK = opposite)

Answer:

m∠4 = 40°

Step-by-step explanation:

we notice that ∠1 and ∠4 are two Vertically opposite angles which means they are equal to each other then m∠4 = m∠1 = 40°

Answer:

A = 804.25 cm^2

Step-by-step explanation:

The rectangular pool where Asha swims would need 4.6875 * 10⁸ cm³ of water to make it full.

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

The pool where Asha swims is rectangular. It is 2500 cm long, 1250 cm wide and 150 cm deep.

Hence:

Volume of the pool = 2500 * 1250 * 150 = 4.6875 * 10⁸ cm³

The rectangular pool where Asha swims would need 4.6875 * 10⁸ cm³ of water to make it full.

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The equation f(x)=x² + 2x is a quadratic equation, and it passes through the points (0,0) and (1,3)

The equation is given as:

f(x)=x² + 2x

Set x = 0

f(0)= 0² + 2(0) = 0

Set x = 1

f(1)= 1² + 2(1) = 3

The above means that the equation f(x)=x² + 2x passes through the points (0,0) and (1,3)

See attachment for the graph of f(x)=x² + 2x

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Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

Let [tex]z=r(\cos\theta+i\sin\theta)[/tex] be a complex number, where [tex]n[/tex] is an integer and [tex]n\geq 1[/tex]. By DeMoivre's Theorem, if [tex]z^n=r^n(\cos\theta+i\sin\theta)^n[/tex], then [tex]z^n=r^n(\cos n\theta+i\sin n\theta)[/tex].

Hence, we must first convert from rectangular to polar form:

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

[tex]\displaystyle \theta=\tan^{-1}\biggr(\frac{y}{x}\biggr)\\\\\theta=\tan^{-1}\biggr(\frac{-1}{-1}\biggr)\\ \\\theta=\tan^{-1}(1)\\\\\theta=45^\circ[/tex]

Therefore, the rectangular form for the complex number is [tex]z=\sqrt{2}(\cos45^\circ+i\sin45^\circ)[/tex], and now we can apply DeMoivre's Theorem to raise the complex number to the 10th power:

[tex]z=\sqrt{2}(\cos45^\circ+i\sin45^\circ)\\\\z^{10}=\sqrt{2}^{10}(\cos45^\circ+i\sin45^\circ)^{10}\\\\z^{10}=2^5(\cos10\cdot45^\circ+i\sin10\cdot45^\circ)\\\\z^{10}=32(\cos450^\circ+i\sin450^\circ)\\\\z^{10}=32(0+i)\\\\z^{10}=32i[/tex]

Therefore, [tex]z^{10}=32i[/tex] in rectangular form.

Problem 2

[tex]3\:\text{cis}\:90^\circ=3(\cos90^\circ+i\sin90^\circ)=3(0+i)=3i[/tex]

Therefore, [tex]3\:\text{cis}\:90^\circ=3i[/tex] in rectangular form.

Answer:

x = 3

Step-by-step explanation:

The pattern is that every other number increases by 1, while the next decreases by 2

1. 17,18,19,20

2. 9,7,5,x

5-2 =3

3 is the answer.

Solutions:

Odd Terms: 17, 18, 19, 20

Find the common difference.

d = a₂ - a₁

d = 18 - 17

d = 1

Thus, for every odd term, the next terms are derived by adding 1.

Even Terms: 9, 7, 5, x

Find the common difference.

d = a₂ - a₁

d= 7 - 9

d = -2

Find x.

x = 5 + d

x = 5 + (-2)

x = 5 - 2

x = 3

Therefore, x = 3.

In an arithmetic sequence, a term is obtained by adding a constant number to the preceding term. A sequence whose succeeding terms are obtained by adding a constant. Constant is called the common difference. Formula is a_n = a₁ + d(n - 1). The common difference is obtained by subtracting the first term from the second term.  

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Answer:

19 or 20

Step-by-step explanation:

well is see

Monday = 12

Tuesday = 12 + 3 = 15

Wednesday = 15 +3 = 18

so the pattern is 3

but now since there is only 14, 13, 19, and 20

we could say she only added 1 or 1 each time

because it said she wanted cookies to stay about 18

1 x 2 = 2

18 + 2 = 20

or

1 + 18

19

sorry if it's wrong

The missing probability for the given mutually exclusive event is 3/10

Mutually exclusive events are those events that do not occur at the same time.

Here, Let P(A) be x,

         P(B) = 11/20,     P(A or B) = 17/20,    P(A and B) = 0

         By Addition theorem of Probability,

         P(A or B) = P(A) + P(B) - P(A and B)

          17/20 = x + 11/20 - 0

          x = [tex]\frac{17}{20} - \frac{11}{20}[/tex]

          x = 6/20

          x = 3/10

Thus, The missing probability for the given mutually exclusive event is 3/10

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Answer:

C) 3/10

Step-by-step explanation:

Applying the Addition Theorem of Probability :

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Here :

Solving :

Answer:

8

Step-by-step explanation:

To calculate the greatest common factor of 24 and 32, we need to factor each number (factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24; factors of 32 = 1, 2, 4, 8, 16, 32) and choose the greatest factor that exactly divides both 24 and 32, i.e., 8.

Answer:

8

(factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24; factors of 32 = 1, 2, 4, 8, 16, 32)

https://www.flocabulary.com/unit/gcf-lcm/

Step-by-step explanation:

59^2+56^2=77^2

3481+3136=5929

no not right triangle

im guessing its and acute triangle

i don't understand what else your trying to ask after that

Answer:

obtuse and greater than

Step-by-step explanation:

obtuse and greater than

Answer:

The total he would have to pay back would be $7,320.44

Step-by-step explanation:

(I'm assuming you want the total amount he needs to pay back)

6700 x 0.10 = 670 per year

670 ÷ 365 = 1.835616438356164

1.835616438356164 × 338 = 620.44

620.44 + 6700 = 7,320.44

Answer:

20 New professors

Step-by-step explanation:The current ratio is 1200%2F80 = 15.

The new ratio/proportion should be %281500%29%2Fx = 15.

From here, find x = 1500%2F15 = 100 professors.

They must hire 100-80 = 20 new professors.

Answer: N=40

r=4

Step-by-step explanation:

We use the notation

�

P

�

nPrn, start text, P, end text, r to describe permutations. This notation represents the number of unique arrangements that exist when we select

�

rr objects without replacement from a set of

�

nn distinct objects.

In this scenario, how many students are we selecting to fill positions? How many students are we selecting from?

Hint #22 / 3

The student government is electing

4

44 of its

40

4040 members to fill the positions of president, vice president, secretary, and treasurer. So

�

nn should be

40

4040 and

�

rr should be

4

44.

Hint #33 / 3

These are the appropriate values of

�

nn and

�

rr:

�

=

40

�

=

4

n

r

​

=40

=4

​

Answer:

Step-by-step explanation:

in standard form it is

5x - y = 8

Answer:

y = (1/5)x - 12/5

Step-by-step explanation:

First, you need to find the slope (m). This can be done by using the given points and the following equation.

y₁ - y₂ = m(x₁ - x₂)

-3 - (-2) = m(-3 - 2)

-1 = -5m

1/5 = m

Next, you need to find the y-intercept (b). You can do this by using the slope and the values of a point in the following equation.

y = mx + b

-2 = (1/5)(2) + b

-2 = 2/5 + b

-2.4 = b

-12/5 = b

Putting the information together, you are left with your final equation.

y = (1/5)x - 12/5

If the mass of the object is 900 g and the volume is 1,875 cm³. Then the density of the object is 0.48 g/cm³.

Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.

The mass and density relation is given as

Density = mass / volume

An object has a mass of 900 g and a volume of 1,875 cm³.

Then the density will be

Density = 900/1875

Density = 0.48 g/cm³

Then the density of the object is 0.48 g/cm³.

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