Show that (1 + 2V3)2 = 13 +4V3

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

You have the relation ...

  (left side number) × (top number) = (number in the area box)

This means ...

  (top number) = (number in the area box)/(left side number)

  top number = 680/17 = 40 . . . number in the quotient box

and ...

  17 × 8 = number in the area box = 136

__

The number in the right-side box is the remainder, the difference between the dividend 820 and the sum of the numbers in the other two area boxes.

  820 -680 -136 = 4 . . . . number in the right-side box

Answer:

Step-by-step explanation:

9 - a = 9 -a

9 - a + 10 = 19 - a

Answer:

Step-by-step explanation:

The sum of the interior angles of a triangle is equal to 180° so we can write

[tex]y + 2y + 3y = 180° \Rightarrow 6y = 180°[/tex]

Solving for y, we get

[tex]y = 30°[/tex]

So the other two angles of the triangle are

[tex]2y = 2(30°) = 60°[/tex]

and

[tex]3y = 3(30°) =90°[/tex]

Answer:

Step-by-step explanation:

This is a problem of ratios:

Set the problem up with matching similar side lengths equal:

50/10 = x/12

First simplify the left side:

50/10 = 5

Next, multiply both sides by 12.

We are left with:

x = 12(5)

x = 60

Answer:

I am doinnnnngggghgh ggggggh

Answer:

god knowsnnsjjejjejek

Answer:

1.45 x 10   {2}

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

a. compounded semiannually, n = 2

b. compounded quarterly, n = 4

c. compounded monthly, n = 12

d. compounded continuously

Answer:

Well perimeter is adding up all the sides since it's a rectangle the first one is just 6 + 6 + 4 + 4 = 20 cm

The second would be 9 + 9 + 12 + 12 = 42 cm if this is not an option or if it is wrong let me know and I will try again

Answer:

h=4

Step-by-step explanation:

the height can't be smaller than 3 and higher than 5, you're making a hypothesis.

Answer:

The answer is D ( the last option in your list of possible answers. -3,6)

Answer:

(-3,6)

Step-by-step explanation:

It goes backwards 3 units to the left meaning the x value is negative 3. It goes up 6 meaning the y value is 6. Plug the values into (x,y) and you get (-3,6)

Answer:

17,004,000

Step-by-step explanation:

Seventeen million four thousand

17,004,000

Answer:

17,004,000

in number form

Step-by-step explanation:

i'd appreciate it if youd give me brainly

have a fangtastic day <3

Answer:

[tex] - 1 \frac{1}{8} m + \frac{3}{10} \\ [/tex]

Step-by-step explanation:

[tex] \frac{7}{8} m + \frac{9}{10} - 2m - \frac{3}{5} \\ \frac{7}{8} m - 2m + \frac{9}{10} - \frac{3}{5} \\ \frac{7}{8} m - \frac{2m \times 8}{1 \times 8} + \frac{9}{10} - \frac{3 \times 2}{5 \times 2} \\ \frac{7m - 16m}{8} + \frac{9 - 6}{10} \\ - \frac{9}{8} m + \frac{3}{10} \\ - 1 \frac{1}{8} m + \frac{3}{10} \\ [/tex]

The constant rate of gas consumption gives an equal number of miles per

gallon of gas.

The number of miles per gallon Maria drove is 23.5 miles per gallon

Reasons:

The known information are;

Initial volume of gas in the tank = The tank was filled up

The distance in miles Maria drove = 329

The number of gallons with which Maria filled the tank = 14 gallons

Number of miles driven on each gallon = The same number of miles

Required:

The number of driven per gallon

Solution:

The number of miles driven per gallon is therefore;

[tex]Miles \ per \ gallon = \dfrac{329 \ miles}{14 \ gallons} = 23.5[/tex]

Therefore, Maria drove 23.5 miles per gallon of gas

Learn more here:

https://brainly.com/question/14865898

Answer:

The equation is 3x -5 + 10x -7 = 180°

Step-by-step explanation:

These angle are a linear pair. Linear pair are two angles that are adjacent and their sides are opposite rays, or the two angles form a straight angle = 180°

The equation is 3x -5 + 10x -7 = 180°

Answer:

m=5+g-w

Step-by-step explanation:

This should be the answer based on the equation given.

Answer:

Step-by-step explanation:

The equation for the amount of water is:

Solve for m:

Now solve for g:

Answer:

The student must pay 4247.5 - 4000 = 247.50 dollars in interest

Step-by-step explanation:

Using the normal distribution and the central limit theorem, it is found that there is a 0.0028 = 0.28% probability that the manufacturing line will be shut down unnecessarily.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The probability of being shutdown is the probability of a sample mean less than 0.73 inches or more than 0.77 inches. They are the same distance to the mean(0.02), thus, considering the Central Limit Theorem:

[tex]z = \frac{0.02}{s}[/tex]

[tex]z = \frac{0.02}{0.0067}[/tex]

[tex]z = 2.99[/tex]

The probability is P(|z| > 2.99), which is 2 multiplied by the p-value of z = -2.99.

z = -2.99 has a p-value of 0.0014.

2(0.0014) = 0.0028

0.0028 = 0.28% probability that the manufacturing line will be shut down unnecessarily.

A similar problem is given at https://brainly.com/question/25212662

Answer:

b = 15

Step-by-step explanation:

Answer:

b = 15

Step-by-step explanation:

Solve for b:

4.8/ 1 7/9 = 1.2b/6 2/3

Cross multiply:

6 2/3 * 4.8 = 1.2b * 1 7/9

6 * 3 + 2/3 * 4.8 = 1.2b * 9 + 7/9

20/3 * 48/10 = 12b/10 * 16/9

20 * 4 = b * 16/3

5 = b * 1/3

b = 5 * 3

b = 15

Answer:

correct answer is 2

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

Answer U4

Step-by-step explanation:

blank is 4

Lin's brother weighs 40 pounds, and Elena's brother weighs 40 kilograms, because kilograms are heavier than pounds and Elena's brother is bigger.

Given :-

To find :-

Solution :-

Common difference ,

As we know that ,

Answer:

30th

Step-by-step explanation:

There is a common difference between consecutive terms, that is

- 2 - (- 13) = 9 - (- 2) = 20 - 9 = 31 - 20 = 11

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 13 and d = 11 , then

[tex]a_{n}[/tex] = - 13 + 11(n - 1) = - 13 + 11n - 11 = 11n - 24 ← equate to 306

11n - 24 = 306 ( add 24 to both sides )

11n = 330 ( divide both sides by 11 )

n = 30

The 30th term is 306

brisa is 12.5 aja is 10.5 and damaris is 4

Answer: 23/36

Step-by-step explanation:

[tex]\frac{3}{4} -\frac{7}{9} +\frac{2}{3}[/tex]

You need to find a common denominator.

The common denominator is 36. You have to get all denominators to 36.

How to do that?

Example = [tex]\frac{3}{4} *\frac{9}{9} =\frac{27}{36}[/tex].

Do that to all the fractions.

[tex]\frac{27}{36} -\frac{28}{36} +\frac{24}{36} = \frac{23}{36}[/tex]

Answer:

8/11

Step-by-step explanation:

5+3=8

Answer:

[tex]\sf\huge\longmapsto \: \frac{8}{11} [/tex]

Step-by-step explanation:

[tex]\sf\huge\longmapsto \: \: \frac{5}{11} + \frac{3}{11} [/tex]

[tex]\sf\huge\longmapsto \: \frac{5 + 3}{11} [/tex]

[tex]\sf\huge\longmapsto \: \frac{8}{11} [/tex]

Answer:

Iv'e checked both of them and they have NO solutions so nyour answer is (None)

Step-by-step explanation:

The rectangular equation for the curve is [tex]y = \frac{x^{2}}{2} -1[/tex].

In this question, we have a set of parametric equation which must be reduced into a single rectangular equation both by algebraic and trigonometric means, that is to say:

[tex]x = f(\theta), y = g(\theta) \to y = h(x)[/tex]

If we know that [tex]x = 2\cdot \cos \theta[/tex] and [tex]y = \cos 2\theta[/tex], then the rectangular equation is:

[tex]y = \cos 2\theta[/tex]

[tex]y = \cos^{2}\theta - \sin^{2}\theta[/tex]

[tex]y = 2\cdot \cos^{2}\theta -1[/tex]

[tex]\cos \theta = \frac{x}{2}[/tex]

[tex]y = 2\cdot \left(\frac{x}{2} \right)^{2}-1[/tex]

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

The rectangular equation for the curve is [tex]y = \frac{x^{2}}{2} -1[/tex].

We kindly invite to check this question on parametric equations: https://brainly.com/question/23070611

Answer:

165km

Step-by-step explanation:

if 1cm on the map = 15km,

then since 11cm is 11x 1, we multiply the kilometers by 11, getting 165km.