What is the slope of the line shown below?

9514 1404 393

Answer:

  a = √(b² +c² -2bc·cos(A))

  a = √(c² -b²)

Step-by-step explanation:

For sides a, b, c, and opposite angles A, B, C, the general form of the law of cosines is ...

  a² = b² + c² -2bc·cos(A)

An expression for 'a' can be written by taking the square root.

  a = √(b² +c² -2bc·cos(A))

__

If you recognize that cos(A) = b/c, then a substitution can be made:

  a = √(b² +c² -2(bc)(b/c)) = √(b² +c² -2b²)

  a = √(c² -b²) . . . . . . . same as the Pythagorean theorem

Answer:

5,006 :)

Step-by-step explanation:

Answer:

2400

Step-by-step explanation:

Answer:

2400

Step-by-step explanation:

240*10=2400

Answer:

3/56

Step-by-step explanation:

There are 8 letters in the word DECEMBER. The probability of picking a C first is 1/8, since there's only one C. Since the letter is not replaced, there are now 7 letters to choose from, out which 3 of those are the letter E. Therefore, the probability of picking an E second is 3/7. The total probability then is equal to [tex]\frac{1}{8}[/tex] times [tex]\frac{3}{7}[/tex], which is equal to [tex]\frac{3}{56}[/tex].

Hope this helps! :D

Answer:

15m

Step-by-step explanation:

(see attached)

Answer:

J (3; 9)

Step-by-step explanation:

Imagine each distance like a triangle and use Pythagorean theorem.

To illustrate I drew triangle ΔLON in the picture

Finding the distance between LN.

LO = [tex]y_{L} - y_{O}[/tex] = 5 - 1 = 4

NO = [tex]x_{N} - x_{O}[/tex] = 5 - 4 = 1

According to Pythagorean theorem

[tex]LN^{2} = LO^{2} + NO^{2}[/tex]

[tex]LN^{2}[/tex] = [tex]4^{2} + 1^{2}[/tex] = 17

LN  = [tex]\sqrt{17}[/tex] (LN > 0)

Since ΔMLN ≅ ΔKLJ, JL = LN (they are clearly equal triangles)

Mark J coordinates as (x; y)

Draw another triangle JOL, ∠JOL = 90°)

OJ is parallel with x axis and OL is parallel with y axis.  O coordinates then are (4; y)

OL  = y - 5

OJ = 4 - x

Note that ΔLON = ΔJOL, so OL is the same as LO and therefore

OL = LO = y - 5 = 4;

y = 9

OJ = NO = 4 - x = 1

x = 3

So the coordinates of J are (3; 9)

Similarly find the coordinates of K

Answer:

Step-by-step explanation:

Step-by-step explanation:

they are similar by AA .

plz mark my answer as brainlist plzzzz . hope this will be helpful to you.

Answer:

I think it should be correct

Good Luck!

Answer:

45%

Step-by-step explanation:

Simply divide your partial amount (18 in this case) by your total (40), and you then multiply your answer from 18/40= .45 by 100, and you get 45. This is 45%

45% because math said so

18÷40= .45

.45•100=45

Answer:

No

Step-by-step explanation:

17/8 = 2.125

5/4 = 1.25 meaning they do not form a proprtion, i hope i helped you!

Answer:

-21y+7

Step-by-step explanation:

-7(3y-1) = 3y(-7) -1(-7) = -21y+7

Answer:

-21y + 7

Step-by-step explanation:

Just times - 7 with 3y then - 7 times with - 1

Answer:

OR just 3

Step-by-step explanation:

z^2-9 becomes sqrt(z^2)=sqrt(9) becomes z=+-3

Answer:

27 days divided by 7 days

3 6/7

soo 3 weeks and 6 days

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Call pentagon p, circle c and triangle t

We have 2c + 2p = 2p + 2t + c

p = 5, t = 3 so

2c + 2(5) = 2(5) + 2(3) + c

2c + 10 = 10 + 6 + c

2c = 6 + c

c = 6

6 answer

Call pentagon p, circle c and triangle t

We have 2c + 2p = 2p + 2t + c

p = 5, t = 3 so

2c + 2(5) = 2(5) + 2(3) + c

2c + 10 = 10 + 6 + c

2c = 6 + c

c = 6

Answer:

1.847

Step-by-step explanation:

divide 2.45 and 1.75 dats ur ans

The grocer should combine 2 pounds of $1.75/lb trail mix with 3 pounds of $3.75/lb trail mix to get 5 pounds of $2.95/lb trail mix.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Let's assume that the grocer needs to combine x pounds of $1.75/lb trail mix to the 3 lb of $3.75/lb trail mix.

To find out how many pounds of $1.75/lb trail mix are needed, we can use the following equation:

$1.75x + $3.75(3) = $2.95(x + 3)

Simplifying the equation, we get:

$1.75x + $11.25 = $2.95x + $8.85

Subtracting $1.75x from both sides, we get:

$11.25 = $1.20x + $8.85

Subtracting $8.85 from both sides, we get:

$2.40 = $1.20x

Dividing both sides by $1.20, we get:

x = 2

Therefore, the grocer should combine 2 pounds of $1.75/lb trail mix with 3 pounds of $3.75/lb trail mix to get 5 pounds of $2.95/lb trail mix.

To know more about an expression follow

https://brainly.com/question/26857327

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Answer:

x=92

Step-by-step explanation:

those to angles are supplementary meaning that they add up to equal 180

so you set up the equation 180=x+x-4

180=2x-4

step 1 add 4 to each side

184=2x

step 2 divide each side by 2

x=92

so the angles equal 92 and 88

Answer:

92°

Step-by-step explanation:

180 degrees on a straight line.

2x - 4 = 180

2x = 184

X = 92°

Answer:

w = 35

Step-by-step explanation:

The angle adjacent to 125° is

180° - 125° = 55°

The 3 angles on the straight line sum to 180° , that is

90 + w + 55 = 180

w + 145 = 180 ( subtract 145 from both sides )

w = 35

Answer:

a)h=x^3 b)g=x^2

Step-by-step explanation:

Answer:

0.083

Step-by-step explanation:

Answer:

3 is it

Step-by-step explanation:

Step-by-step explanation:

5 miles =8 km

? miles=74 km

[tex] x \: miles = \frac{74 \times 5}{8} \\ = 46.25 \\ \frac{5 \: miles}{8 \: km} = \frac{46.25 \: miles}{74 \: km} \\ [/tex]

Answer:

Step-by-step explanation:

BRO I DONT KNOW HELP CRI

Answer:

Cameroon

Step-by-step explanation:

Hope it Helps!

:)

Answer:

The 3rd One

Give Brainlest

Step-by-step explanation:

Answer:

Él dividendo seria 5

Step-by-step explanation:

Por que si dividimos 800 ÷ 5 = 160 y no nos quedan residuos

ESPERO Y TE AYUDE ;)

Answer:

64

Step-by-step explanation:

4³ = 64