Can someone help me please?!!!!​

Answer: [tex]\dfrac{8}{3}\ m[/tex]

Step-by-step explanation:

Given

Length of the plank is [tex]6\ m[/tex]

Foot of the flank is [tex]4\ m[/tex] away from the wall

Lizard climbs 2 m up the wall

from the figure, the two triangles are similar

[tex]\therefore \dfrac{2}{6}=\dfrac{x}{4}\\\\\Rightarrow x=4\times \dfrac{2}{6}\\\\\Rightarrow x=\dfrac{4}{3}\ m[/tex]

So, the distance from the wall is

[tex]\Rightarrow 4-x\\\\\Rightarrow 4-\dfrac{4}{3}\\\\\Rightarrow \dfrac{8}{3}\ m[/tex]

Answer:

[tex] \frac{1}{6} [/tex]

Step-by-step explanation:

[tex] \frac{7}{5} \times \frac{5}{12} - \frac{3}{12} \times \frac{7}{5} - \frac{1}{15} = \frac{7}{5} ( \frac{5}{12} - \frac{3}{12} ) - \frac{1}{15} = \frac{7}{5} \times \frac{1}{6} - \frac{1}{15} = \frac{7}{30} - \frac{2}{30} = \frac{5}{30} = \frac{1}{6} [/tex]

Answer:

see explanation

Step-by-step explanation:

(a + b)²

= (a + b)(a + b)

Each term in the second factor is multiplied by each term in the first factor, that is

a(a + b) + b(a + b) ← distribute parenthesis

= a² + ab + ab + b² ← collect like terms

= a² + 2ab + b²

Answer:

(a+b) is squared which means (a+b)(a+b)

Lets prove it

= (a+b)(a+b)

= a(a+b) + b(a+b) (Here a will mutiply by (a+b) and b will mutiply with (a+b)

= a²+ab + ab + b²

= a²+ 2ab + b²

Hence proved (a+b)² = a²+ 2ab + b²

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Answer: 214.7425g

Step-by-step explanation:

Total benzene = 245mL

Density of benzene = 0.8765g/mL

Which means there is 0.8765g benzene per mL

Mass = 245×0.8765

= 214.7425g

Therefore there is 214.7425g of mass in 245mL benzene

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If the density of benzene is 0.8765 g/mL, the mass of benzene is 214.74 grams.

Given the following data:

To find the mass of benzene:

Density is mass all over the volume of a substance or an object.

Mathematically, the density of a substance is given by the formula;

[tex]Density = \frac{Mass}{Volume}[/tex]

Making mass the subject of formula, we have;

[tex]Mass = Density[/tex] × [tex]Volume[/tex]

[tex]Mass = 0.8765[/tex] × [tex]245[/tex]

Mass = 214.74 grams.

Therefore, the mass of benzene is 214.74 grams.

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Answer:

5.425

Step-by-step explanation:

310° = 310° × π ÷ 180°

= 310° × 3.142 ÷ 180°

= 310° × 0.0175

= 5.425

Answer:

Step-by-step explanation:

i got it right on khan[tex]\frac{31\pi }{18}[/tex]

Answer:

5

Step-by-step explanation:

when 13 is subtracted from 5 we get 8

again when 8=2m

8/2=m

4=m

.

Answer:

Combining these results, it follows that there are 676 x 1000 = 676,000 different license plates possible.

Answer:

- 10, - 40

Step-by-step explanation:

200, 170, 140, .... - 10, - 40 ....

30 × 5 = 150

140 - 150 = - 10

- 10 - 30 = - 40

Answer:

missing angle= 44°

Step-by-step explanation

sin=opposite/hypotenuse

cos=adjacent/hypotenuse

tan=opposite/adjacent

x is opposite of 19 and  41 is the biggest side so that is the hypotenuse. with that being said you will put in your calculator sin(19/41) and make sure that it is in radian mode. This gives you the answer of 44°

By analyzing the graph we conclude that the value that is an input is x = 4.

For the inputs, we need to look at the horizontal axis. In the graph we can see a closed dot at x > 0 (we can't see the exact value).

This means that the minimum of the domain is positive.

From that, we conclude that the only correct option, that we can be sure that belongs to the domain (set of the inputs), is x = 4, the third option.

If you want to learn about domains:

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Step-by-step explanation:

C(x) = 2.50 + 5(0.40x)

<=> C(x) = 2.50 + 2.00 x

The required expression for the taxi charges is C(x) = $2.50 + 0.4  * x/5.

Given that,
A New York City taxi charges $2.50, plus $.40 for each fifth of a
mile if it is not delayed by traffic. To determine an expression for the cost of the ride, if travel x miles in the taxi with no traffic delays to determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the number of miles be x,
The total charge be C(x)
Now accoding to the condition total charge could be the sum of the cost of every fifth mile and $2.40. So, every fifth mile = x / 5
Now,
C(x) = 2.40 + 0.40 * x/5

Thus, the required expression for the taxi charges is C(x) = $2.50 + 0.4  * x/5.

Learn more about arithmetic here:

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Answer:

The dimensions of the mirror is 9 feet and 2 feet

Step-by-step explanation:

Keep in mind that the area and perimeter of a rectangle is:

Area - length x width

Perimeter - 2 (l + w)

List the factors of 18 (the area of the mirror):

1, 2, 3, 6, 9, 18

POSSIBLE DIMENSIONS OF MIRROR:

1 ft and 18 ft

Area = 18 ft^2

Perimeter = 38 feet

2 ft and 9 ft

Area = 18 ft^2

Perimeter = 22 feet

3 ft and 6 ft

Perimeter = 18 feet

The rectangle with dimensions 2 feet and 9 feet corresponds with the area and perimeter of the mirror mentioned. So those are the correct dimensions.

Hope these helps!

Answer:

Yo it's A

Step-by-step explanation:

An infinite sequence is one that goes on forever, in this case it's the one with the "..." at the end because that is what shows that the sequence is infinite

There are two infinite sequences, and you just have to figure out which one is an arithmetic sequence.  An arithmetic sequence is one that subtracts or adds the same number every time to the previous number.

Out of the two infinite sequence choices, it's obviously not B because you aren't subtracting or adding the same number every time

It's A because you add 122 every time and it goes on forever.

hope this helps lol

Answer:

the 1 one will be the answer

c는 답이다

[tex]x \sqrt[7]{ {x}^{2} } \\ = c \: is \: the \: answer[/tex]

Answer:

9

Step-by-step explanation:

6x=2*x*(a number), (a number)^2=the number we need. A number=3, the number is 3^2=9

Answer:

hope found the answers bye.

Step-by-step explanation:

9x + 4y - 4  =  0     

Putting in the x-value of -1, we get:

9(-1) + 4y - 4  =  0

Simplifying:

-9 + 4y - 4  =  0

Combining the -9 and the -4:

4y - 13  =  0

Getting rid of the -13 by adding 13 to both sides:

4y - 13 + 13  =  0 + 13

4y  = 13

Dividing both sides by 4:

y = 13/4

Checking:  Is 9(-1) +4(13/4) -4  really zero?    Yes!

Answer:

-1

Step-by-step explanation:

1.25(x+1.5)=0.625

(x+1.5)=0.5

x=-1

Answer:

4x^3

Step-by-step explanation:

20 x^5 + 28 x^4 + 12x^3

4*5*x^5  + 4*7*x^4 + 4*3*x^3

Factor out 4x^3

4x^3 ( 5x^2 + 7x +3)

Answer: 12 Basil leaves

Step-by-step explanation:

Given

Monica uses 3 basil leaves for every 8 tomatoes

For 32 tomatoes she needs

[tex]\Rightarrow 3\ \text{basil leaves}\equiv8\ \text{Tomatoes}\\\\\Rightarrow 4\times 3\ \text{basil leaves}\equiv4\times 8\ \text{Tomatoes}\\\\\Rightarrow 12\ \text{basil leaves}\equiv 32\ \text{Tomatoes}[/tex]

Thus, she needs 12 basil leaves.

Answer:

It's a (space) lot,... haha na I just kidding,... you're good,... I mean I'm not kidding cause it is correct,... but you are good,... like totally cool,... anyway,...

Step-by-step explanation:

By x the just mean what number,... so,...

what number + 6 = 7,

6 + what number = 7,

2 + what number + 5 = 7,

1 + what number = 7,

what number + 4 + what number = 7,

So that is what it mean,... hope it helps, alot LOL,... and,... Chow

Answer:

Investment in company P = 12,000

Investment in company Q = 24,000

Step-by-step explanation:

Given that,

Total investment = 36,000

Dividend paid by company P = 11.25%

Dividend paid by company Q = 10.5%

Total return = 10.75%

Now, let investment made in company P be 'a' and company 'Q' be 'b.' So,

A.T.Q.

a + b = 36,000  ...(i)

11.25% of a + 10.5% of b = 10.75% of 36000  ...(ii)

On simplification,

a + b = 36,000

11.25% of a + 10.5% of b = 3870

Now,

11.25% of a + 10.5% of (36000 - a) = 3870

⇒ 0.1125 * a + 0.105 * (36000 - a) = 3870

⇒ 0.1125 a + 3780 - 0.105a = 3870

⇒ 0.1125a - 0.105 a - 3870 - 3780

⇒ 0.0075 a = 90

⇒ a = 90/0.0075

∵ a = 12000

Since, a = P = 12,000

Q = b = (36000 - a)

= 36000 - 12000

= 24,000

Thus,

Investment in company P = 12,000

Investment in company Q = 24,000

Answer:

Amount invested in P = 12,000

Amount invested in Q = 24,000

Step-by-step explanation:

Given:

Amount invested = 36,000 in two companies P and Q

P pays dividend = 11.25%

Q pays dividend = 10.5%

Total return = 10.75%

Find:

Amount invested in each company

Computation:

Total return = 36,000 x 10.75

Total return = 3870

Assume;

Amount invested in P = a

So,

Return in P = a x 11.25%

Return in P = 0.1125a

Return in Q = [36000 - a]10.5%

Return in Q = 3,780 - 0.105a

Total return = Return in P + Return in Q

3,870 = 0.1125a + 3,780 - 0.105a

90 = 0.0075a

a = 12,000

Amount invested in P = 12,000

Amount invested in Q = 36,000 - 12,000

Amount invested in Q = 24,000

Answer:

2)

3)

4)

5)

6)

Step-by-step explanation:

Answer:

$61.50

Step-by-step explanation:

14.25(4) + 4.50

= 57.00 + 4.50

= 61.50

Answer:

16

Step-by-step explanation:

the quadratic equation –3 = –x2 + 2x can be changed into :

x²-2x-3= 0

a=1, b= -2 , and c = -3

so, the discriminant = (-2)²-4(1)(-3)

= 4 + 12 = 16

Answer:

36

Step-by-step explanation:

girls:boys=2:3

2units=24

1unit=24÷2=12

boys have 3 units

3units=12 x 3 =36

There are 36 boys

Answer:

x + 90 + (x minus 10)= 180° can be used to find the value of x.

Answer:

A) X+90+ (x-10) - 180

C) 2x+80 = 180

D) x+90 = 2x+40

Step-by-step explanation:

Answer:

A.

–2; –250; –156,250

Step-by-step explanation:

A(1) = -2 x 5(1) - 1 = -11

A(4) = -2 x 5(4) -1 = -41

A(8) = -2 x 5(8) -1 = -81

...............................................................................................................................................

an=a1(r)^(n-1)

a1=first term

r=common ratio

n=which term

so

an=-2(5)^(n-1)

first term is -2

4th term is subsitue 4 for n

a4=-2(5)^(4-1)

a4=-2(5)^3

a4=-2(125)

a4=-250

4th term is -250

--------------------------

8th term

a8=-2(5)^(8-1)

a8=-2(5)^7

a8=-2(78125)

a8=-156250

8th term is -156250

...............................................................................................................................................

A(1)=2*5^1-1=2*5^0=2*1=2

a(4)=2*5^4-1=2*5^3=2*125=250  

a(8)=2*5^8-1=2*5^7=2*78,125=156,250

...............................................................................................................................................

2, 250, 156, 250

Answer:

m=5/3

Step-by-step explanation:

Answer:

5/3 or 1 2/3

Step-by-step explanation:

First you subtract 4/3 from the left side. 23/6-4/3= 2 1/2

Then you multiply 2 on both sides, this simplifies the left side to be 3m and the right side 5.

Lastly, you divide by 3 to isolate the variable m.

And you get 5/3, which also equals 1 2/3

Let it be x

Using angle sum theory

[tex]\\ \sf\longmapsto 50+30+x=180[/tex]

[tex]\\ \sf\longmapsto 80+x=180[/tex]

[tex]\\ \sf\longmapsto x=180-80[/tex]

[tex]\\ \sf\longmapsto x=100[/tex]