Factor completely 3x3 − 3x2 − 18x. 3x(x 3)(x 2) 3x(x 3)(x − 2) 3x(x − 3)(x 2) 3x(x − 3)(x − 2).

Answer:

8.6

Step-by-step explanation:

First look at the small triangle and find the angle that is common between the big and small triangle.

TanФ=Opp/Adj

TanФ=2/3

now look at the big triangle,

again TanФ= h/13

we know tanФ=2/3,

∴2/3=h/13

(2/3)*13=h

h= 8.6

Answer:

l'autre dimension x+2

Step-by-step explanation:

Formule por 'aire

L × l, longueur fois largeur

(5) x (x+2) = 5x+10

Answer:

x=50

Step-by-step explanation:

angles in a triangle add up to 180 degrees

hence, 50 + 2x + 30 = 180

solving for x

50 + 2x + 30 = 180  

combine like terms

2x + 80 = 180

subtract 180 from both sides

2x = 100

divide both sides by 2

x = 50

Answer:

x=50

Step-by-step explanation:

50°+30°+2x = 180° (sum of all angles of a triangle)

or, 2x +80°= 180°

or, 2x = 180°-80°

or, 2x=100°

or, x= 100°/2

therefore,x°=50°

Again,

2x = 2×50°=100°

(would appreciate it if you could mark me the brainliest:))

Answer:

73.75

Step-by-step explanation:

[tex]\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:1000[/tex]

[tex]\frac{57820}{784}[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace7\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 784\overline{|\smallspace57820}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace5\emptyspace4\emptyspace8\emptyspace8}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace2\emptyspace9\emptyspace4\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{57.82}{0.784}\:\mathrm{is}\:73.75[/tex]

Hence, the correct answer is 73.75

Answer:

division

Step-by-step explanation:

2x/2=8/2=x=4

x=4

Answer:

Step-by-step explanation:

The product of length and width is the area, 60 m². The width is 4 more than the length, so we need factors of 60 that differ by 4.

  60 = 1·60 = 2·30 = 3·20 = 4·15 = 5·12 = 6·10

The last pair of factors, 6 and 10, differ by 4.

The width is 10 meters; the length is 6 meters.

Answer:

76 cents

Step-by-step explanation:

23 inches = 92 cents

1 inches = 92 ÷ 23

= 4 cents

19 inches = 19 × 4

= 76

144,702

104,392

146,310

114,573

144,719

These are all the numbers written out in order from the picture.

146,310

144,719

144,702

114,573

104,392

These are the numbers greatest to least.

The attached file is the order it all goes in, 1 being greatest, 5 being least.

Ratio remains same

So

Now

<ABX be P

[tex]\\ \rm\Rrightarrow tanP=\dfrac{AX}{BX}[/tex]

[tex]\\ \rm\Rrightarrow tanP=\dfrac{7.2}{8}[/tex]

[tex]\\ \rm\Rrightarrow tanP=\dfrac{9}{10}[/tex]

[tex]\\ \rm\Rrightarrow P=41.98°[/tex]

And

[tex]\\ \rm\Rrightarrow tanN=\dfrac{XC}{BX}[/tex]

[tex]\\ \rm\Rrightarrow tanN=\dfrac{4.8}{8}=\dfrac{3}{5}[/tex]

[tex]\\ \rm\Rrightarrow tanN=0.6[/tex]

[tex]\\ \rm\Rrightarrow N=30.96[/tex]

Now

Answer:

∠ABC = 73.74° (nearest hundredth)

Step-by-step explanation:

Properties of a kite:

If X is the point of intersection, the length of BD = 20 cm
and DX : XB = 3 : 2, then

⇒ DX = 3/5 of 20 and XB = 2/5 of 20

⇒ DX = 12 cm and XB = 8 cm

(see attached diagram)

∠ABC =∠XBC + ∠XBA

As ∠XBC ≅ ∠XBA then ∠ABC = 2∠XBC

To find ∠XBC use tan ratio:

[tex]\mathsf{tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]

Given in ΔXBC

[tex]\mathsf{tan(XBC)=\dfrac{6}{8}=\dfrac34}[/tex]

[tex]\mathsf{angle(XBC)=tan^{-1}\left(\dfrac34\right)}[/tex]

∠XBC = 36.86989765...°

Therefore, ∠ABC = 2 x 36.86989765...°

                             = 73.73979529...°

                             = 73.74° (nearest hundredth)

Answer:

25x² - 30x - 9

Step-by-step explanation:

the opposite of the expression is its negative , that is

- (- 25x² + 30x + 9) ← multiply each term in the parenthesis by - 1

= 25x² - 30x - 9

Answer:

475 ft

Step-by-step explanation:

[tex]\frac{x}{25}[/tex] = [tex]\frac{38}{2}[/tex]

cross multiply

2x = 950

x = 475

The height of the building is 475 ft.

In similar triangles, corresponding sides are always in the same ratio.

Given that, a triangle is formed by the​ building's height and shadow. Another triangle is formed by the​ flagpole's height and shadow.

The triangles are forming similar triangles,

Let the height of the building be x

Therefore, x/25 = 38/2

x = 475

Hence, The height of the building is 475 ft.

For more references on similar triangles, click;

https://brainly.com/question/25882965

#SPJ2

Step-by-step explanation:

[tex]\begin{aligned}\log_2(9x)-\log_2(3)&=3\\\log_2\left(\frac{9x}{3}\right)&=3\\\log_2(3x)&=\log_2(2^3)\\3x&=2^3\\3x&=8\\x&=\frac{8}{3}\end{aligned}[/tex]

Multiply total people by the percent that support the home team:

4500 x 43% = 4500 x 0.43 = 1935

Answer: 1935 people

Answer:

5h + $35 = x

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 dollars an hour = 5

35 savings shows the amount of money = 35m

Raking leaves for numbers of hours = h

5h + 35m=h

Answer: y = 120 degrees, x = 31 degrees

Step-by-step explanation:

Y is 120 degrees because same-side exterior angles are supplementary.

Therefore, 60+ y = 180; y = 120

Since "y" and "4x-64" are supplementary, they add up to 180.

We already know y as 120.

So 120 + 4x - 64 = 180

4x = 124

x = 31

Answer/Step-by-step explanation:

Thank you I really Appreciate it <3

Answer:

x=5

Step-by-step explanation:

13x-6=8x+19 +6  on both sides

13x=8x+25    -8 on both sides

5x=25       /5 on both sides

x=5

Answer:

first we get y on one side by itself.

4x+5y=5

we'll move x to the other side.

4x-4x+5y=5-4x

simplify.

5y=5-4x

now we get rid of the coefficient on y.

5y/5=(5-4x)/5

simplify.

y=5/5-4x/5

y=1- [tex]\frac{4}{5}x[/tex]

The answer is [tex]y=1-\frac{4}{5}x[/tex]

Answer:

The processing fee will cost $8.76

Step-by-step explanation:

the price after the discount:

20% = 0.2

100% = 1

1 - 0.2 = 0.8

0.8

$73 • 0.8 = $58.4

cost of processing fee:

15% = 0.15

$58.4 • 0.15 = $8.76

Answer:

If my cousin gave me $16 ( my real cousins never did T_T) and I am left with $8 while buying a present. The present cost $8...

Wow, I thought I was bad at math

Answer:

You need to sell each week at least 15 subscriptions  to earn at least

$40/week  (15 subscriptions or more)

Step-by-step explanation:

s= subscriptions

2s+ 10 ≥40

2s ≥ 30

s ≥  15

$2x15 =$30

$30+ $10 of salary = $40

Answer:

see below

Step-by-step explanation:

I will be using pythagorean triples for some, but you can use sqrt(a^2+b^2)=c^2

1. 12 13 5 x=5

2. 3 4 5 x=5

3. sqrt(14.7^2-11.9^2)=sqrt(74.48) or around 9 (root is irrational)

4. sqrt(15.4^2-6.3^2)=sqrt(197.47) or around 14 (same thing)

5. sqrt(15^2-11^2)=2*sqrt(26) or around 10

6. sqrt(4^2-sqrt(6)^2)=sqrt(16-6)=sqrt(10) or around 3

7. sqrt(12^2+9^2)= 15, so it is a right triangle

8. 9, 12, 15 divide by 3- 3, 4, 5 pythagorean triple - is a right triangle

9. 9, 12, 15-17>15, obtuse

10. sqrt(20.1^2+18^2)=20.4 - 20.1<20.4, acute

11. sqrt(4.8^2+28.6^2)=29, 29=29, right

Answer: super sorry! i have no idea but im sure someone else knows (:

Step-by-step explanation:

sorry

i dont see it it is too far

Answer:

see explanation

Step-by-step explanation:

A - eliminate the fractions → d

B

[tex]\frac{1}{r_{1} }[/tex] + [tex]\frac{1}{r_{2} }[/tex] = [tex]\frac{1}{R}[/tex]

multiply through by Rr₁r₂ to clear the fractions

Rr₂ + Rr₁ = r₁r₂ ( factor out R from each term on the left side )

C

R(r₂ + r₁) = r₁r₂ ← divide both sides by (r₂ + r₁)

R = [tex]\frac{r_{1}r_{2} }{r_{2}+r_{1} }[/tex]

The answer is Choice (A)

Answer:

Step-by-step explanation:

ok so you need help asap i will give a quick answer: obtuse

I

Answer:

Step-by-step explanation:

The y-intercept and the common ratio of an exponential function can be read from the equation. The form of the equation is ...

  y = a·b^x

where 'a' is the y-intercept, and 'b' is the common ratio.

You have ...

  y = 5·(1/2)^x

Comparing this to the above form, you can see that ...

  y-intercept = 5

  common ratio = 1/2