Graph x < 5 on a number line

Answer:

6.5

Step-by-step explanation:

8÷tan(51)=6.47...

              =6.5(correct to the nearest tenth)

Given :  tan 235 = 2 tan 20 + tan 215

To Find : prove that

Solution:

tan 235 = 2 tan 20 + tan 215

Tan x = Tan (180 + x)

tan 235 = tan ( 180 + 55) = tan55

tan 215 = tan (180 + 35) = tan 35

=> tan 55 = 2tan 20 + tan 35

55 = 20 + 35

=> 20  = 55 - 35

taking Tan both sides

=> Tan 20 = Tan ( 55 - 35)

=> Tan 20  = (Tan55 - Tan35) /(1 + Tan55 . Tan35)

Tan35 = Cot55 = 1/tan55 => Tan55 . Tan35 =1

=> Tan 20  = (Tan 55 - Tan 35) /(1 + 1)

=> Tan 20  = (Tan 55 - Tan 35) /2

=> 2 Tan 20  = Tan 55 - Tan 35

=> 2 Tan 20 +  Tan 35 = Tan 55

=>  tan 55 = 2tan 20 + tan 35

=>  tan 235 = 2tan 20 + tan 215

QED

Hence Proved

Answer:

by distributing you need to multiple by using the 7 in front and use that 7 to multiply each number inside

1. -7(-4+x) -> 28-7x

2. 7(4+x) -> 28+7x

3. 7(-4-x) -> -28-7x

4. -7(4-x)-> -28+7x

[tex] \frac{p}{12} [/tex]

hope it helps u

9514 1404 393

Answer:

  a = (s +t)/(m +r)

Step-by-step explanation:

Add t, then divide by the coefficient of 'a'.

  [tex]a(m+r)-t=s \qquad\text{given}\\\\a(m+r)=s+t \qquad\text{add $t$}\\\\\boxed{a=\dfrac{s+t}{m+r}} \qquad\text{divide by $m+r$}[/tex]

Answer:

Equation of the straight line passing through the point ( 4,2) and (7,-3) is

5 x + 4y - 28=0

Step-by-step explanation:

Step(i):-

Given points are ( 4,2 0 and ( 7,-3)

Slope of the line

         [tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{-3-2}{7-4} = \frac{-5}{4}[/tex]

Step(ii):-

Equation of the straight line passing through the point ( 4,2) and

having slope m = [tex]\frac{-5}{4}[/tex]

y - y₁ = m( x- x₁ )

[tex]y - 2 = \frac{-5}{4} ( x-4)[/tex]

4( y -2) = -5( x-4)

4 y - 8 = - 5x +20

5x +4y -8 -20=0

5 x + 4y - 28=0

Final answer:-

Equation of the straight line passing through the point ( 4,2) and (7,-3) is

5 x + 4y - 28=0

Answer:

Step-by-step explanation:

1.24 * 0.15 = 0.0186

As you can see, the numbers are the same, but the order of the decimal is different.

Since the order of the decimal is different, so will the answer.

1,860 and 0.0186 do have the same numbers in them, but since the decimal is located in different spots, then the answer will be different with different values.

You might not see the decimal in 1,860, but it is after the 0.....

1,860.0 ( same thing just added a decimal, but it is the same value)

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

f ( 10 x − 6 ) = 1000 x^ 3 − 1800 x ^2+ 1170 x − 306

Step-by-step explanation:

Step-by-step explanation:

We can represent the terms like this:

Therefore, (6x - 6.3) / 3

= [(3)(2x) - (3)(2.1)] / 3

= 2x - 2.1.

Answer:

Terms of the equation is :---

6x/3 = 2x and 6.3/3 = 2.1

According to the given problem,

[tex] \frac{(6x - 6.3)}{3} = \frac{3(2x - 2.1)}{3} = \boxed{2x - 2.1} ✓\\ [/tex]

Answer:

2x(5+13)

Step-by-step explanation:

add then multiply by 2

Answer:

to find perimeter

= 2(L+w)

= 2(5+13)

10+26

36

so the answer is 2×(5+13)

hope it's helpful ❤❤❤❤

THANK YOU.

Step-by-step explanation:

sin2x - sinx = 0

2sinxcosx - sinx = 0

(Double Angle Formula)

sinx(2cosx - 1) = 0

Either sinx = 0 or cosx = 1/2.

When sinx = 0,

x = 0 or x = π.

When cosx = 1/2,

x = π/3 or x = 5π/3.

Hence the solutions are

x = 0, x = π/3, x = π or x = 5π/3.

Answer:

24x+32

Step-by-step explanation:

=(3x+4)(8)

=(3x)(8)+(4)(8)

=24x+32

Answer:

No

Step-by-step explanation:

For 3 to be factor your finale number has to be divisible by 3, so with that information all you have to do is subtract 245-16 which is 229, and if you divide 229 by 3 it does not equal a whole number so 3 cannot be a factor.

I hope this helps, and have a great day! :D

the greatest common factor of 24 and 36 is 12

Answer:

12

Step-by-step explanation:

Answer:

$32.50

Step-by-step explanation:

multiple 25 by 30 then divide it by 100 then add your 7.5 to 25 and that's ur answer

Answer:

Step-by-step explanation:

Jhbiko

Answer:

7/5

Step-by-step explanation:

4x+3=9x-4

3=9x-4-4x

3=5x-4

3+4=5x

7=5x

7/5=x

x= 7/5

is this one of the choices I hope it helps.

Answer:

6.5 x 5=32.5

67.5/100 x 30,000= $20,250

We would expect about 490 students to ride the bus to school based on the sample

It is the way of choosing a number of required items from a population given.

Each item has an equal probability of being chosen.

We have,

If 7 out of every 12 students ride the bus to school, then the proportion of students who ride the bus is 7/12 or approximately 0.5833.

If we assume that this proportion holds true for the entire school, then we can estimate the number of students who ride the bus as follows:

Number of students who ride the bus = Proportion who ride the bus x Total number of students

Number of students who ride the bus = 0.5833 x 840

Number of students who ride the bus = 489.99

Since we cannot have a fractional number of students, we would round this estimate to the nearest whole number.

Thus,

We would expect about 490 students to ride the bus to school based on the sample

Learn more about random sampling here:

https://brainly.com/question/12719656

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Answer:part A including SD cards, Theresa and Ruben have 2.624 x 10^11 bits of storage.

Part b :32 bits

Step-by-step explanation:sorry that's all I know

Hope I helped

The required, solution of the given numeral in scientific notation is shown.

Scientific notation is a method of writing extremely large or extremely small numbers. When a number between 1 and 10 is multiplied by a power of 10, it is written in scientific notation.

Here,

Part A: Including the SD cards, how many combined bits of storage do Theresa and Ruben have on their phones?

Answer: 6.4 × 10¹¹ bits

Part B: How many combined bits of storage do Theresa’s parents have on their phones?

Answer:  2.4 × 10¹¹ bits

Part C: How many combined bits of storage are there on the two tablets?

Answer: 3.6 × 10¹⁰ bits

Part D: Including the phones, tablets, and cloud, how many total bits of storage does the family have altogether?
Answer:6.9 × 10¹² bits

Part E: Theresa’s computer at home has 1 terabyte of storage. How many more bits of storage does her computer have than the combined bits available on her family’s phones, tablets, and cloud storage?
Answer:8.6 × 10¹² bits

Learn more about scientific notation here: https://brainly.com/question/13091583
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The answer is 3. His A.P.R. (interest rate) will rise to 30.24% until he pays back the amount he owes.

Answer: y=+{%

Step-by-step explanation:

€

hey

heh

Answer:

[tex]\frac{1}{3x^{\frac{4}{5}}}[/tex]

Step-by-step explanation:

Subtract the exponents: 3/5 - 7/5 = -4/5

Equation would become 3^-4/5

Which is equivalent to 1/3x^4/5

Answer:

90 degrees

Step-by-step explanation:

90 degrees hhgffdfkgdf

Answer:

90 degrees clockwise rotation

Step-by-step explanation:

Because

Answer:

y = 2

Step-by-step explanation:

y=2 every time you add 3 to x your adding 2 to the y

-3 + 3 = 0 and 3 + 2 = 5

0 + 3 = 3 and 5 + 2 = 7

Answer:

x =-7. .y=6

Step-by-step explanation:

3x + 2y = -9

(X – Y = -13)×3

3x + 2y = -9

3x – 3y = -39

5y = 30

y=6

3x +2(6)=-9

3x=-21

x=-7

Answer:

I'll help you with this so reflections is not hard.

For reflect over x-axis you need to switch the sign on Y. formula for points like this is (x,y). An example is reflect (2,4) over the x-axis. you just change the sign of y making the answer (2,-4).

For reflect over y-axis you change the sign of X.For example reflect over the y-axis (3,7) all you have to do is change the sign of X which leaves you with the answer of (-3,7).

sign is basically + or - if need to know.

I hope this helps you in the long run.

Answer:

The answer is 10 units because if you add up all the units that would be on the side you will get 10

Step-by-step explanation: