2. The sum of 4 consecutive odd numbers is 56.
Find the greatest of the 4 numbers.

Answer:

he had nine quarters and four dimes

Answer:

[tex] \purple{ \bold{ \tan( \alpha - \beta ) = 1.00701798}}[/tex]

Step-by-step explanation:

[tex] \cos( \alpha ) = \frac{ \sqrt{6} }{6} = \frac{1}{ \sqrt{6} } \\ \\ \therefore \: \sin( \alpha ) = \sqrt{1 - { \cos}^{2} ( \alpha ) } \\ \\ = \sqrt{1 - \bigg( {\frac{1}{ \sqrt{6} } \bigg )}^{2} } \\ \\ = \sqrt{1 - {\frac{1}{ {6} }}} \\ \\ = \sqrt{ {\frac{6 - 1}{ {6} }}} \\ \\ \red{\sin( \alpha ) = \sqrt{ { \frac{5}{ {6} }}} } \\ \\ \tan( \alpha ) = \frac{\sin( \alpha ) }{\cos( \alpha ) } = \sqrt{5} \\ \\ \sin( \beta ) = \frac{ \sqrt{2} }{4} \\ \\ \implies \: \cos( \beta ) = \sqrt{ \frac{7}{8} } \\ \\ \tan( \beta ) = \frac{\sin( \beta ) }{\cos( \beta ) } = \frac{1}{ \sqrt{7} } \\ \\ \tan( \alpha - \beta ) = \frac{ \tan \alpha - \tan \beta }{1 + \tan \alpha . \tan \beta} \\ \\ = \frac{ \sqrt{5} - \frac{1}{ \sqrt{7} } }{1 + \sqrt{5} . \frac{1}{ \sqrt{7} } } \\ \\ = \frac{ \sqrt{35} - 1 }{ \sqrt{7} + \sqrt{5} } \\ \\ \purple{ \bold{ \tan( \alpha - \beta ) = 1.00701798}}[/tex]

(5.8f - 3g + g) - (7f - 2.5g)

(5.8f - 4g) - (7f - 2.5g)

2.8f - 2.5g

Answer:

2.8f - 2.5g

Answer:

C

Step-by-step explanation:

Volume formula: width*length*height

Ok, so let's plug in the numbers.

9.5*6*9.5=Volume

so volume = 541.5

Answer is C

Answer:

What is the Diagram?

Step-by-step explanation:

You did not attach it.

Answer:

(0, -2) and (3, 1)

Step-by-step explanation:

y = x - 2, y = (x - 1)² - 3

To solve this problem, we need to find when the x and ys in both equations are equal.

So,

y = x - 2 = y = (x - 1)² - 3

x - 2 = (x - 1)² - 3

Simplify right side.

x - 2 = x² - 2x - 2

Subtract both sides by (x² - 2x - 2)

x - 2 - (x² - 2x - 2) = 0

Simplify.

-x² + 3x = 0

Factor x.

x (-x + 3) = 0

Because the only way to get a product of 0 is to multiply a number by 0, either x = 0 or (-x + 3) = 0 (x would be 3 in this equation)

So, x = 0 or x = 3

Now, to find y, plug x = 0 x = 3 into one of the equations.

When x = 3, y = x - 2 = 3 - 2 = 1

When x = 0, y = x - 2 = 0 - 2 = -2

Just in case, let's check these values.

Put x = 0 and y = -2 into y = (x - 1)² - 3

-2 = (0 - 1)² - 3 = (-1)² - 3 = 1 - 3 = -2

So, x = 0 and y = -2 is correct.

Put x = 3 and y = 1 into y = (x - 1)² - 3

1 = (3 - 1)² - 3 = 2² - 3 = 4 - 3 = 1

So, x = 3, y = 1 is correct.

Thus, the answers are

(0, -2) and (3, 1)

I hope this helps! Feel free to ask any questions!

Answer:

is 1 means -1?whats -----means?

Step-by-step explanation:

Answer:

Slope. -2.5

Y-intercept. 15

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

60(70/100)

4200/100

42 empty seats

Answer:

a(bc)

Step-by-step explanation:

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

7x+30= 3x+5x

reason being they are not congent and they share the line so would have to equal 180 and they don't

Answer:

A

Step-by-step explanation:

The rectangle has an area of 30ft^2

Each triangle has an area of 25ft^2

25+25+30=80

Answer/Step-by-step explanation:

First you would plot -9 on the number line

Then you would go to the right 5 times which would take you to -4 and that would be you answer.

(Sorry I could not find a number line to plot but I hope you get the idea)

Hope this helps :)

Answer:

Try using pythagorus or trigonometry

Answer:

(i)DAG=17°

(ii)∠FEC=73°

(iii)∠AGC=73°

Step-by-step explanation:

In rhombus,

AB=BC=CD=AD

DE=AD

∠DEC=∠DAC

∠ADE=90+56=146  

(i)InΔADE

2x=180−146

2x=34

DAG=17°

(ii)∠FEC=73°  

(iii)∠AGC=180−62−45=73°

Answer:

A bee hive

Step-by-step explanation:

Bees work in swarms so they must have swarm intelligence in order to work together

Answer:

(125*2)/8=b

Step-by-step explanation:

The way to find the area of a triangle is to multiply height and width then divide by two and 125 is the area. Then that means 125=250/2.

Since the height is 8 we can make the equation (125*2)/8.

Hopefully that was helpful and made sense.

Answer:

op 1

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

16x5=80

80/4=20

Answer:

8 (3 + 8x)

Step-by-step explanation:

Factor down the two values. The two multiples for 24 can be 8 and 3. The two multiple for 64 can 8 and 8. Overall, both the values are multiples of 8.

You put 8 out of the bracket since it's the GCF.  24 goes 3 times and 64 goes 8 times.

= 8 (3 + 8x)

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

Maybe you want to find x such that ...

  2/7 = x/(x +10)

  2(x +10) = 7x . . . . . . multiply by 7(x+10)

  20 = 5x . . . . . . . . . . subtract 2x, simplify

  4 = x . . . . . . . . . . . . divide by 5

_____

Additional comment

You can almost solve this "by inspection" if you recognize the difference of the denominator and numerator is 5 on the left and 10 on the right. If you multiply the fraction on the left by 2/2, you get 4/14, the values in x/(x+10) in the fraction on the right.

[tex]\huge\text{Hey there!}[/tex]

[tex]\textsf{4(x - 6) + 10 = 6}[/tex]

[tex]\textsf{Distribute}[/tex]

[tex]\textsf{4(x) + 4(-6) + 10 = 6}[/tex]

[tex]\textsf{4x - 24 + 10 = 6}[/tex]

[tex]\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\textsf{(4x) + (-24 + 10) = 6}[/tex]

[tex]\textsf{-24 + 10 = -14}[/tex]

[tex]\textsf{4x - 14 = 6}[/tex]

[tex]\textsf{ADD 14 from BOTH SIDES}[/tex]

[tex]\textsf{4x - 14 + 14 = 6 + 14}[/tex]

[tex]\textsf{CANCEL out: -14 + 14 because that gives you 0}[/tex]

[tex]\textsf{KEEP: 6 + 14 because that helps us solve for x}[/tex]

[tex]\underline{\textsf{6 + 14 = 20}}[/tex]

[tex]\textsf{New equation: 4x = 20}[/tex]

[tex]\textsf{DIVIDE 4 from BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{4x}{4}=\dfrac{20}{4}}[/tex]

[tex]\textsf{CANCEL out}[/tex]: [tex]\mathsf{\dfrac{4}{4}}[/tex]  [tex]\textsf{because that gives you 1}[/tex]

[tex]\textsf{KEEP}[/tex]: [tex]\mathsf{\dfrac{20}{4}}[/tex]  [tex]\textsf{because that solves and gives you x}[/tex]

[tex]\mathsf{TEMPORARY\ EQUATION: x = \dfrac{20}{4}}[/tex]

[tex]\mathsf{\dfrac{20}{5}=5}\\\\\\\mathsf{20\div4 = 5}\\\\\\\textsf{\bf x = 5}\large\checkmark[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \underline{\bf x = 5}}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

5g+14 and -2+5g

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

I did hours of HOURS of work on this. I have to say this was hard.....

Heres the link on how I did it

bit. ly / 3ecQGGN

Hello!

For this problem, since we are given both the values of [tex]a\\[/tex] and [tex]b[/tex], we'll just want to plug the values in to our equation and we'll get our answer!

[tex]\frac{a^2-5ab}{3a}, a=-4, b=7[/tex]

[tex]\frac{(-4)^2-5(-4)(7)}{3(-4)}[/tex]

[tex]\frac{16+140}{-12}[/tex]

[tex]\frac{156}{-12}[/tex]

[tex]-13[/tex]

Hope this helps!

Answer:

2

Step-by-step explanation: