question about slopes! please help :))

Answer:

[tex]x = \frac{\sqrt 3}{ 3}[/tex]

Step-by-step explanation:

Given

See attachment for complete question

First, we calculate the water pipe length (AC):

[tex]AC^2 = AB^2 + BC^2[/tex]

[tex]AC^2 = 1^2 + x^2[/tex]

[tex]AC^2 = 1 + x^2[/tex]

[tex]AC = \sqrt{1 + x^2[/tex]

The cost of laying across water is twice (2 times) laying on land.

So, the total cost (C) is:

[tex]C = 2 * \sqrt{1 + x^2} + 1 * (4 - x)[/tex]

[tex]C = 2 \sqrt{1 + x^2} + (4 - x)[/tex]

Differentiate

[tex]C' = \frac{2x}{\sqrt{1 + x^2}} - 1[/tex]

To find the most economical cost, we simply minimize C' by equating C' to 0

[tex]C' = 0[/tex]

[tex]\frac{2x}{ \sqrt{1 + x^2}}-1 = 0\\[/tex]

[tex]\frac{2x}{ \sqrt{1 + x^2}}=1[/tex]

Cross multiply

[tex]2x= \sqrt{1 + x^2}[/tex]

Take square of both sides

[tex]4x^2 = 1+x^2[/tex]

Collect like terms

[tex]4x^2 -x^2= 1[/tex]

[tex]3x^2= 1[/tex]

Solve for [tex]x^2[/tex]

[tex]x^2 = \frac{1}{3}[/tex]

Solve for x

[tex]x = \sqrt{\frac{1}{3}}[/tex]

[tex]x = \frac{1}{\sqrt 3}[/tex]

Rationalize:

[tex]x = \frac{1}{\sqrt 3} * \frac{\sqrt 3}{\sqrt 3}[/tex]

[tex]x = \frac{\sqrt 3}{ 3}[/tex]

Answer and Step-by-step explanation:

24 goes into 171

7 times, with a remainder of 3.

24 times 7 is equal to 168.

171 minus 168 is 3.

So, 7 is the maximum amount of times 24 (whole number) can go into 171.

#teamtrees #PAW (Plant And Water)

Answer:

Kristin will drink 7500 milliliters during the 15 days.

Step-by-step explanation:

Because 0.5 L is 500 mL, multiply that by the time, or 15 days. This will give you an answer of 7500 milliliters.

Answer:

[tex] \frac{2}{3} n - 11 \geqslant 17[/tex]

[tex]n \geqslant 42[/tex]

Explanation:

difference equals -

two-thirds equals 2/3

a number n equals variable of n

and 11 equals 11

at least equals _> (but like those together)

For solving equations just use photomath

The solution to the expression is n ≥ 42

An equation, statement of equality between two expressions consisting of variables and/or numbers

An equation is a mathematical expression that contains an equals symbol.

Equations often contain algebra.

Algebra is used in maths when you do not know the exact number in a calculation.

Translating the equation

[tex]\rm \dfrac{2}{3} \;n-11 \geq 17[/tex]

[tex]\rm \;n \geq (17 + 11)\times\dfrac{3}{2}\\\\\\ n \geq 42[/tex]

Therefore the solution to the expression is n ≥ 42

To know more about Equation

https://brainly.com/question/10413253

#SPJ2

Answer:

The answer is 13 1/8ft3

Explanation:

Substitute into the formula:

Volume = 3 1/2 x 2 1/2 x 1 1/2

= 7/2 x 5/2 x 3/2

= 105/8

= 13 1/8 ft3

Answer:

y= 2x

Step-by-step explanation:

If the y-intercept = 0, that means b= 0

m= 2

y= mx + b

y= 2x

Answer:

Step-by-step explanation:

y - 0 = 2(x - 0)

y = 2x

#'s 9-14

Base info:   40% are red, 30% are white, 20% are blue, and 10% are green

9) 40% chance to get red, 10% chance to get green. 50% chance to get one of either.

10) getting red: 40%

Getting blue: 20%

11) 80%  (100% - 20% = 80%)

1/8 = 12.5%

12) 12.5% chance

13) 25% chance

14) 12.5 x 5 = 62.5  

62.5% chance

Answer:

Step-by-step explanation:

r=4, w=3, b=2, g=1, t=(4+3+2+1)=10

9) P(r or g)=4/10+1/10=5/10= 1/2

10) P(r or b)=4/10+2/10=6/10= 3/5

11) P(!b)=P(r or w or g)=4/10+3/10+1/10=8/10= 4/5

12) There are six numbers and only one six, P(6)= 1/6

13) The only even numbers less than 5 are 2 and four so

P(e<5)=2/6= 1/3

14) The primes on a die are 2,3,5 so three primes out of six numbers

P(!)=3/6= 1/2

15) 2,3,4,6 are multiples of 2 and three

P(2n or 3n)=4/6= 2/3

16) We want a one half probability so

P(W)=(3+x)/(3+4+2+x)=1/2

(3+x)/(9+x)=1/2

2(3+x)=9+x

6+2x=9+x

x=3

So 3 white marbles have to be added.

17) (3+x)/(9+x)=2/3

3(3+x)=2(9+x)

9+3x=18+2x

x=9

So nine whites need to be added.

Responder:

24 días

Explicación paso a paso:

Dado que:

Total de páginas = 288

Número de páginas leídas por día = 12

Número de días que se necesitarán para leer el libro completo:

Total de páginas / número de páginas leídas por día

288/12

= 24

Por lo tanto, a María le tomará 24 días leer el libro completo, si lee 12 páginas del libro por día.

Answer:

try 2 if not then try 4

Step-by-step explanation:

N/A

Answer:

(45*12) + 75 = c

Answer:

( 45 ×12 ) + 75 =c is the answer

Answer:

Step-by-step explanation:

z=68

68+(13x+47)=180

68+13x+47=180

13x=65

x=5

Answer:b

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think it 8.45

Answer:

To solve this question, all we have to do is  to convert - 8 5/12 to a decimal.

So we have: -8 5/12 = -8. (5/12)

This is equal to -8.41666... , where the 6 continues forever. You can express this by drawing a line above the 6, which indicates that it continues forever.

Let me know if this helps!

Answer:

[tex]5.976\times10^{24}[/tex]

Step-by-step explanation:

Standard form, also called scientific notation, is a more compact way of writing very big or very small numbers. All numbers in scientific notation have the form

[tex]m\times10^b[/tex]

where m is a number between 1 and 10, and b is an integer that represents how we've shifted the decimal point from the original number. For example, the number 23,000 in standard form would be written as 2.3 × 10⁴, since we have to shift the decimal point 4 places to the right to get back our original number.

We can turn 5,976,000,000,000,000,000,000,000 into a number between 1 and 10 by shifting the decimal 24 places to the left, giving us 5.976. We'll save that 24 as the exponent for our 10, giving us the final form

[tex]5.976\times10^{24}[/tex]

Answer:

56

Step-by-step explanation:

11*4=44

6*2=12

44+12=56

Answer:

Step-by-step explanation:

Step 1

Find the missing angle:

Step 2

Find the missing sides by using the law of sines:

Step 3

Use Heron's formula for the area:

Find s:

Find A:

Answer: what's the x after 384?

Step-by-step explanation:

Answer:

the answer is

[tex] \frac{8836}{26} [/tex]

Step-by-step explanation:

thats the answer

The answer to the equation is Y or X.

2(2x + 3y) = 4x + 6y

Distrubitive property would be used on the right

4x + 6y = 4x + 6y

So, you could either subtractive 4x from both sides or 6x from both sides and be left with either one.

so your answer would be X or It could be Y.

Answer:

$2250

$2430

Step-by-step explanation:

If the seller made a profit of 20%, it means he sold the television at a price that is 20% higher than the cost price. That means that the sales price is 1.2 times higher than the cost price

let t = cost price of the television

the following equation can be derived

1.2 x t = $2700

divide both sides by 1.2

t = $2250

If there is a 10% discount, the television is (100 - 10%) 90% cheaper

0.9 x 2700 = $2430

Answer:

7.046%

Step-by-step explanation:

100%/x=369/26

100/x×x=(369/26)×x

100=14.19231×x

100/14.192=7.046

Answer:

always equal 90 degrees

Step-by-step explanation:

Hey there!

“Complementary Angles” is/are basically TWO (or MORE) angles that has the SUM is 90°

Whereas, “Supplementary Angles” is/are basically TWO (or MORE) angles that has the SUM of 180°

Example of a Complementary Angle:

30° + 40° + 20° = 90°

30° + 40° = 70°

70° + 20° = 90°

90° = 90°

This makes this a COMPLEMENTARY angle because it equals 90°

Example of a supplementary angle

90° + 90° = 180°

This makes this a SUPPLEMENTARY angle because it equals 180°

Good luck on your assignment and enjoy your day!

~Amphitrite1040

Answer:

41in^3

Step-by-step explanation:

Answer:

a: 1

b: 13

Step-by-step explanation:

a: -7 + 6 = -1. distance from zero makes that positive

b: -7 is changed to 7, 7 + 6 = 13

Answer:

x = 3.

Step-by-step explanation:

1.  Add 2 + 7, and you get 9.

2.  Now find what 3 multiplied by what equals 9.

3. 3 x 3 = 9.

4.  Therefore, x = 3.

5.  3 x 3 - 2 = 7.

Answer:

x = 1.

4+1×6=30

Step-by-step explanation:

thats about right

Answer:

6(x+4)=30

6x+24=30

6x=30-24

6x=6

x=1

Answer:

umef leaf ninja the frog held a

Answer: 1106.13 (2 decimal places)

Step-by-step explanation:

To work out the area of this composite shape you would have to put the two semi circles together to form a circle and work out the area of the circle (they have provided the radius which is 11in), then work out the area of the rectangle separately.

The formula for the area of a circle is πr^2 (pi x radius squared).

So when you put the numbers in the formula the area is πx11^2=380.1327111

Then to work out the area of the rectangle you would do base x height.

The height of the rectangle is the same as the diameter of the circle (the diameter is double the radius of a circle) which is 22in.

To find the area of the rectangle you do 22x33=726

So then to find the area of the whole shape you would have to add the area of the circle and the rectangle together.

726+380.1327111=1106.13 (2 decimal places).

Answer:

4 ( 5 - n )

Step-by-step explanation:

The expression:

20 – 4n

Task:  Rewrite the expression for the new weight as a product of two factors.

To do this we simply have to find the highest common factor (HCF) between 20 and 4n

20 = 4 * 5

4n = 4 * n

The HCF = 4

Expressing as a product of two factors;

4 ( 5 - n )