i need answers because it's very hard i need to pass.

Step-by-step explanation:

(a + b + c)^2 = (a^2 + b^2 + c^2) + 2(ab + bc + ca).

Therefore 9^2 = (a^2 + b^2 + c^2) + 2(12).

a^2 + b^2 + c^2 = 81 - 24 = 57.

Please find attached photograph for your answer.

Answer:

see explanation

Step-by-step explanation:

The difference identity for the product is

sinxsiny = [tex]\frac{1}{2}[/tex] [ cos(x - y) - cos(x + y) ], thus

sin20sin10

= [tex]\frac{1}{2}[/tex] [ cos(20 - 10) - cos(20 + 10) ]

= [tex]\frac{1}{2}[/tex] ( cos10 - cos30 )

Answer:

The number of hours they would have to drive for the first day if they average 50 mph over the course of the is 15 hours

Step-by-step explanation:

The given parameters are;

The distance the Roberts family plan to drive = 1500 miles

The average speed at which they drove = 50 mph

We note that the formula for average speed = Total distance/(time)

Therefore, we have;

50 mph = 1500 miles/(time, t)

Time = 1500 miles/(50 mph) = 30 hours

Given that for the first day of the 2 days, they will cover half their total distance, which is 1500 m/2 = 750 m

The time taken = 750 miles/(50 mph) = 15 hours

The time take to cover half the distance = 15 hours

Therefore, the number of hours they would have to drive for the first day if they average 50 mph over the course of the is 15 hours.

Answer:

x=554.41 m

Step-by-step explanation:

It is given that,

Height of the lighthouse, OA=224 ft

The angle of depression to a ship in the ocean is 22 degrees.

We need to find the distance between ship and the base of the lighthouse. The figure is attached. We can use trigonometry to find x.

[tex]\tan22=\dfrac{OA}{AB}\\\\\tan22=\dfrac{224}{x}\\\\x=\dfrac{224}{\tan22}\\\\x=554.41\ m[/tex]

So, there is a distance of 554.41 m between the ship and the lighthouse.

Answer:

La diferencia en los tamaños entre los siguientes tamaños de teclas es de 1/32 pulgadas

Step-by-step explanation:

El número de llaves que tiene el mecánico = 20 llaves

El tamaño de la llave más grande = 3/4 pulgadas

El tamaño de la llave más pequeña = 1/8 pulgadas

La diferencia de medida entre la tecla más grande y la más pequeña = 3/4 - 1/8 = 5/8 pulgadas

El aumento de la medición entre las teclas posteriores se puede dar de la siguiente manera;

D = 5 / (20 × 8) = 1/32 pulgadas

Los tamaños de las teclas son;

(Usando Excel y Word)

3/4 pulgadas, 5/7 pulgadas, 2/3 pulgadas, 2/3 pulgadas, 5/8 pulgadas, 3/5 pulgadas, 4/7 pulgadas, 1/2 pulgadas, 1/2 pulgadas, 1/2 pulgadas, 4/9 pulgadas, 2/5 pulgadas, 3/8 pulgadas, 1/3 pulgadas, 1/3 pulgadas, 2/7 pulgadas, 1/4 pulgadas, 2/9 pulgadas, 1/5 pulgadas, 1/6 pulgadas, 1/8 pulgadas

La diferencia en los tamaños entre los tamaños de clave posteriores = 1/32 pulgadas.

Answer:

Step-by-step explanation:

(8-8)/(-14+4) = 0/-10 = 0 is the slope

Answer:

1/100

Step-by-step explanation:

Answer:

0.1 can be written as 1/10

Step-by-step explanation:

0.1*10/1*10

Answer:

The 12 4/9 in the bottom right corner is 13 7/9 and the 8 two squares to the left of it is 6 2/3.

Step-by-step explanation:

You actually did really well! It was only in the last two squares that you went wrong. The first wrong one was just the 12 4/9 in the last column and second to last row, which should be 13 7/9. Then with that the last square that is wrong is just the 8 in the 5th column and second to last row, which should be 6 2/3. Those are the only ones so you actually did really well, great job!

Hope this helped!

Answer: 17

Step-by-step explanation:

y= 1

(3y + 2)(7y)                

(3(1) + 2(7(1))              Replace y with given number

(3 + 2(7))                    Multiply 1 to 3 and 7

(3 + 14)                       Multiply 2 and 7

(17)                              Add 3 and 14

Answer:

1.  y = 1/7 = 0.143

2.  y = 2/3 = 0.667

Step-by-step explanation:

STEP  1 :

Equation at the end of step 1

 (3y - 2) • (7y - 1)  = 0  

STEP  2 :

Theory - Roots of a product

2.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2      Solve  :    3y-2 = 0  

Add  2  to both sides of the equation :  

                     3y = 2

Divide both sides of the equation by 3:

                    y = 2/3 = 0.667

Solving a Single Variable Equation:

2.3      Solve  :    7y-1 = 0  

Add  1  to both sides of the equation :  

                     7y = 1

Divide both sides of the equation by 7:

                    y = 1/7 = 0.143

Answer:

Step-by-step explanation:

5-x<8; x=-3

5-(-3)<8

5-3<8

 ^

8<8    

i think that's how you do it ? sorry if this is wrong

Answer:

The third one

Step-by-step explanation:

Answer:

-1≤x≤-6

Step-by-step explanation:

-1≤x≤-6 since it is inclusive means that -1 and-6 included

Answer:

The equation is not true. It is actually c=30

Step-by-step explanation:

First you have to divide amount of money she's selling the candy bars for which is $2.50.

If her profit was $75, you want to know how much bars she sold, you will have to divide the amount of money she's selling the candy bars for and the amount she's earning which is $75 divided by $2.50 which is 30.

So c= 30

Step-by-step explanation:

Year 2006- y = 0.09 (6) + 0.04 = 0.58

Year 2008- y = 0.09 (8) + 0.04 = 0.76

Year 2010- y = 0.09 (10) + 0.04 = 0.94

Year 2012- y = 0.09 (12) + 0.04 = 1.12

Year 2014- y = 0.09 (14) + 0.04 = 1.3

"Let x = 6 which is corresponded to 2006", so 8 would correspond to 2008, 10 would correspond to 2010, 12 would correspond to 2012, and 14 would correspond to 14. Plug 6 for x into your equation and do them same for the others.

Hopefully this helps you! :)

Answer:

Irrational Numbers

Step-by-step explanation:Irrational numbers never end and never end/repeat.

Answer:

2

Step-by-step explanation:

Pull out like factors :

  2x - 4  =   2 • (x - 2)

(4x +  (2 • (x - 5))) -  6 • (x - 2)

 (4x +  2 • (x - 5)) -  6 • (x - 2)

Final Answer:

2

Answer:

20%

Step-by-step explanation:

Add 19 to 76 for the total, which is 95, then find the percent of 19 out of the 95

The percentage of the coins that Chris found are antique will be 20%

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Chris goes with Frederick to the beach to search for coins with his metal detector. Chris has found both newer coins and antique coins. Chris found 76 newer coins and 19 antique coins.

The total number of the coins = 76 + 19 = 95

The percentage will be calculated as,

Percentage = ( 19 / 95 ) x 100

Percentage = 0.2 x 100

Percentage = 20%

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ5

The interior angles of a triangle add up to 180 degrees, meaning we can make an equation.

[tex]2x+36=180[/tex]

[tex]2x=144[/tex]

[tex]x=72[/tex]

Hope this helps.

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Explanation:

The first bag has 26 beans total. Since 50% are yellow, this means 0.50*26 = 13 beans are yellow. Let A = 13.

The second bag has 28 beans, of which 25% are yellow, so 0.25*28 = 7 are yellow. Let B = 7.

The last bag has 30 means and 20% are yellow. So 0.20*30 = 6 are yellow. Let C = 6.

Add A,B,C to get A+B+C = 13+7+6 = 26 yellow from all three bags out of 26+28+30 = 84 beans total.

The percentage of yellow overall is 26/84 = 0.3095 = 30.95% approximately, which rounds to 31%

Answer:

I think the answer is 11/3

Answer:

A. -6x  

B. -12n

C. 9.1y

D. 3m

Explanation:

Add each expression to get the final answer.

Answer:

The answer is below

Step-by-step explanation:

Let x represent a first place finish, y represent a second place finish and z represent a third place finish.

Since there is a total of 20 individual events, hence:

x + y + z = 20          (1)

A first place finish is 5 point, a second place finish is 3 point and third place finish is 1 point. Therefore:

5x + 3y + z = 68      (2)

The second  place finishers is as much as first and third-place  finishers combined. Hence:

y = x + z                   (3)

Solving equation 1, 2 and 3 simultaneously gives:

x = 7,  y = 10 and z = 3

This means the number of first place finishes was 7, second place finishes was 10 and third place finishes was 3

The answer is 256 because 2304 divided by 9 equals 256.

Step-by-step explanation:

256. I showed work just in case you need to

Answer:

26 units

Step-by-step explanation:

(-8, -10) and (18, -10)

Since the y values are the same, we only need to worry about the x values

18 - -8

18+8

26

The distance is 26 units

Answer:

8

Step-by-step explanation:

Answer:

48 gallons

Step-by-step explanation:

[tex] \frac{3}{4} = \frac{6}{8} \\ \frac{6}{8} - \frac{1}{8} = \frac{5}{8} \\ 5 \div 30 = 6 \\ 6 \times 8 = 48[/tex]

Answer:

1.5

Step-by-step explanation:

Answer:

Improper Fraction: [tex]\frac{10}{6}[/tex]

Proper Fraction: [tex]1\frac{4}{6}[/tex]

Simplified Proper Fraction: [tex]1\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]\frac{5}{6} + \frac{2}{3}[/tex] Is our equation... first we must find a common denominator! Let's take a look...

6: 1, 6, 12

3: 1, 3, 6

We see that both numbers get to 6 so we use that as our common denominator. Now we plug that in...

[tex]\frac{5*1}{6*1} +\frac{2*2}{3*2}[/tex]

We get...

[tex]\frac{5}{6} +\frac{4}{6} = \frac{10}{6}[/tex]

Now if you want to leave it as an improper fraction your answer will be [tex]\frac{10}{6}[/tex]. However, if you want you answer to be a proper fraction your answer is [tex]1\frac{4}{6}[/tex] which can be simplified further to,[tex]1\frac{2}{3}[/tex].

Whew! What a toughie! We showed that math problem!

Answer:

1170 miles

Step-by-step explanation:

multiply 12 x 84 to get 1008 keep that 1008 for later. divide 72 by 60 you should get 1.2, times 1.2 and 15 and you should get 18 keep the 18. times 2 by 72 and get 144. add 144 and 18 to get 162. add 162 and 10008 to get 1170. the awnser is 1170 miles.

Answer:

64

Step-by-step explanation:

5x-16+6x=10x (combine like terms)

11x-16=10x (subtract 11x)

-16= -1x (divide by -1

16 = x

Now plug 16 into 5x-16.

5(16)-16 = 80-16 = 64

Answer:

340 mm²

Step-by-step explanation:

The shaded area seems to be a parallelogram. To find the area of a parallelogram, all we need to do is multiply the height and base together. In this case, the base is 20 and the height is 17 so the area is 20 * 17 = 340 mm².

Answer:

340 mm^2.

Step-by-step explanation:

The shaded area is a parallelogram whose area = base * altitude

= 20 * 17

= 340 mm^2.

Answer:

4

Step-by-step explanation: 3 x 4 = 12.

                                             12 - 8 = 4.

Answer:

5/8 of a pound/10/16 of a pound

Step-by-step explanation:

15/6 x 2/3 = 5/8 of a pound simplified.