Factor: 2n2 - 11n + 15

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:

Step-by-step explanation:

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

Answer:

Area = 6647.610055 cm^2

Circumference = 289.02652413 cm

Step-by-step explanation:

Area of Circle: Area = π*r^2

Circumference: C = 2*π*r or π*d

Area = π * 46^2 = 6647.610055

Circumference = 2*π*46 = 289.02652413

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:

Radians:Ф=0.46364... +π n

Degrees:Ф= 26.56505 + 180° n.

Step-by-step explanation:

Apply trig inverse properties

Ф= arccot(2) +π n

Ф=0.46364... +π n

Radians:Ф=0.46364... +π n

Degrees:Ф= 26.56505 + 180° n.

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

The relationship between angle A and angle B is supplementary angles.

∠A  = 2(5) + 40 = 50 degrees

∠B = 5 + 125 = 130 degrees

Supplementary angles are angles that sum up to 180 degrees. The sum of the two angles for a supplementary angles is 180 degrees .

Therefore, the relationship between angle A and angle B is supplementary angles.

Therefore,

∠A + ∠B = 180 degrees

∠A  = 2x + 40

∠B = x + 125

2x + 40 +  x + 125  = 180

2x + x + 40 + 125 = 180

3x + 165 = 180

3x = 180 - 165

3x = 15

x = 15 / 3

x = 5

Therefore,

∠A  = 2(5) + 40 = 50 degrees

∠B = 5 + 125 = 130 degrees

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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

​

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 :

Explanation:

The jump from 24 to 16 is -8

The jump from 16 to 8 is also -8

Each time we need a new term, we add on -8 which is the common difference. So we'll add -8 to 0 to get 0 + (-8) = 0 - 8 = -8 as the next term.

If you wanted another term after that, then it would be -8 + (-8) = -8-8 = -16

Then the next term after that is -16+(-8) = -16-8 = -24, and so on.

Answer:

-8

Step-by-step explanation:

each time its going down by 8 meaning it would be -8

Answer:

The answer is C.

Step-by-step explanation:

From looking at the values you are given. The only one that matchs with your beginning values of 25 and endding values of 250 is answer C. For a more elaborate explanation, please ask another student for more details.

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:

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:

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:

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

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:

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

Answer & step-by-step explanation:

Please see image attached below:

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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Answer:

Step-by-step explanation:

in standard form it is

5x - y = 8

Answer: Heyaa! :)

Slope:  −1

y-intercept: (0,−3)

Slope: 4

y-intercept: (0,−5)

Slope: 2

y-intercept: (0,2)

Slope: −1

y-intercept: (0,4)

Slope: −3/4

y-intercept:

(0,−3)

Hopefully this helps you!

- Matthew

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:

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! ~