what is the length of leg s of the triangle below?​

Answer:

I think finite

Step-by-step explanation:

Answer:         for the first one x>-6, for the second one x< or equal to 5

Step-by-step explanation:

Answer:

The energy, 'E', increases by a factor of 1000,000,000

Step-by-step explanation:

The given equation relating moment magnitude of an earthquake and the energy (in ergs) released by it obtained from a similar question online is presented as follows; [tex]M_W = \dfrac{2}{3} \times log_{10} (E) - 10.7[/tex]

Where;

[tex]M_W[/tex] = The moment magnitude

E = The energy

If [tex]M_W[/tex] is increased by 6, we have;

Δ[tex]M_W[/tex] = 6

[tex]\Delta M_W = M_{W2} - M_{W1} = 6[/tex]

From which we get;

[tex]\Delta M_W = M_{W2} - M_{W1} = 6 = \dfrac{2}{3} \times log_{10} (E_2) - 10.7 - \left(\dfrac{2}{3} \times log_{10} (E_1) - 10.7 \right)[/tex]

[tex]6 = \dfrac{2}{3} \times log_{10} (E_1) - 10.7 - \left(\dfrac{2}{3} \times log_{10} (E_2) - 10.7 \right) = \left(\dfrac{2}{3} \right ) \times \left ( log_{10} (E_2) - log_{10} (E_1) \right)[/tex]

[tex]6 = \left(\dfrac{2}{3} \right ) \times \left ( log_{10} (E_2) - log_{10} (E_1) \right) = \left(\dfrac{2}{3} \right ) \times log_{10} \left( \dfrac{E_2}{E_1} \right)[/tex]

[tex]6 = \left(\dfrac{2}{3} \right ) \times log_{10} \left( \dfrac{E_2}{E_1} \right)[/tex]

[tex]log_{10} \left( \dfrac{E_2}{E_1} \right) = 6 \times \left(\dfrac{3}{2} \right ) = 9[/tex]

Therefore;

[tex]\dfrac{E_2}{E_1} = 10^9[/tex]

E₂ = E₁ × 10⁹ = 1000,000,000 × E₁

Therefore, when the moment magnitude, [tex]M_W[/tex], increases by 6, the energy increases by a factor of 1000,000,000

Answer:

5/12

Step-by-step explanation:

Here, we want to select the probability that the selected student is a sophomore given that he is a boy

In this case;

P(B) = P(boy)

P(A) = P(sophomore)

What we know is that the probability for any section is simply the number of that section divided by the total number of students which is 12 + 18 = 30

From the table;

P(B) = 12/30

P(An B) = 5/30

So;

P(A|B) = 5/30 divided by 12/30

= 5/30 * 30/12 = 5/12

Answer:

A=2πrh+2πr2

Step-by-step explanation:youre welcome

Step-by-step explanation:

πr^2+2πrh

(r= radius, h= height)

Answer:

7y - 4x

Step-by-step explanation:

Given

- 3(2x - y) + 2y + 2(x + y) ← distribute parenthesis

= - 6x + 3y + 2y + 2x + 2y ← collect like terms

= 7y - 4x

Answer:

The answer is "[tex]\frac{A}{(x-2)} + \frac{B}{(x+3)}[/tex]"

Step-by-step explanation:

Let the given value is: [tex]\frac{x-6}{x^2+x-6}[/tex]

[tex]\to \frac{x-6}{x^2+x-6}=\frac{x-6}{x^2+(3-2)x-6}\\\\[/tex]

                [tex]=\frac{x-6}{x^2+(3-2)x-6}\\\\ =\frac{x-6}{x^2+3x-2x-6}\\\\ =\frac{x-6}{x(x+3)-2(x+3)}\\\\ =\frac{x-6}{(x+3)(x-2)}\\\\=\frac{A}{(x-2)} + \frac{B}{(x+3)}[/tex]

Answer:

1) x = 6 + 2√19 or x = 6 - 2√19

2a) (x + 5)²

2b) (x + 5/2)²

3) x = 22 or 18

Step-by-step explanation:

1) x² - 12x = 40

First step is;

We take ½ of the x-term and square it.

Thus;

(½ × -12)² = (-6)² = 36

Second step is to add the result in step 1 to both sides;

x² - 12x + 36 = 40 + 36

x² - 12x + 36 = 76

On the left, is a perfect square that can be written as (x - 6)²

Thus, the new equation is;

(x - 6)² = 76

Taking square root of both sides gives;

x - 6 = ±√76

x - 6 = ±2√19

x = 6 + 2√19 or x = 6 - 2√19

2a) we want to find the value of c that makes x² + 10x + c the perfect square.

From completing the square in question 1 above, we see that;

c = (b/2)²

From ax² + bx + c, we can see that in this case, b = 10

Thus;

c = (10/2)²

c = 5²

c = 25

Thus, the trinomial is;

x² + 10x + 25

As a perfect square, it is;

(x + 5)²

2b) x² + 5x + c

Similar to 2a above;

b = 5

Thus; c = (5/2)²

c = 25/4

Trinomial is; x² + 5x + 25/4

As a perfect square, we have;

(x + 5/2)²

3) We want to solve x² - 40x + 396 = 0

This can be rewritten as;

x² - 40x = -396

First step is;

We take ½ of the x-term and square it.

Thus;

(½ × -40)² = 400

Second step is to add the result in step 1 to both sides;

x² - 40x + 400 = -396 + 400

x² - 40x + 400 = 4

On the left, is a perfect square that can be written as (x - 20)²

Thus;

(x - 20)² = 4

Taking square root of both sides gives;

x - 20 = ±√4

x - 20 = ±2

x = 20 + 2 or x = 20 - 2

x = 22 or 18

Answer:

[tex]x = \frac{57}{29} \ , \ y = \frac{12}{29}[/tex]

Step-by-step explanation:

                            2x + 5y = 6     --------( 1 )

                            5x - 2y = 9     --------( 2 )

                        _____________

     ( 1 ) x 5 =>     10x + 25y = 30   -----------( 3 )

     ( 2 ) x 2 =>    10x - 4y = 18       ----------- ( 4 )

                       ______________

    ( 3 ) - ( 4 ) =>    0 +  29y = 12

                                   [tex]y = \frac{12}{29}[/tex]

Substitute y in ( 1 ) =>

                            [tex]2x + (5 \times \frac{12}{29}) = 6\\\\2x + \frac{60}{29} = 6\\\\2x = 6 - \frac{60}{29}\\\\2x = \frac{174 - 60}{29}\\\\x = \frac{114}{29 \times 2}\\\\x = \frac{57}{29}[/tex]

Answer:

x = 137

Step-by-step explanation:

To find the value of x you must first set up an equation to solve for x. We are told that Hannah has written 142 more lines than Sam so we can make an equation by subtracting Sam's total from Hannah's total.

(7x + 78) - (6x + 73) = 142

Hannah - Sam = Difference

We then begin to solve. First we must distribute the subtraction to all parts of Sam's equation, creating a new equation of:

7x + 78 - 6x - 73 = 142

Then put like terms together

7x - 6x + 78 - 73 = 142

7x - 6x = x

78-73 = 5

x + 5 = 142

Then isolate the x by subtracting the 5.

x + 5 (-5)= 142 (-5)

x = 137

Then plug it back into the equation to check and see if your x is correct

(7x + 78) - (6x + 73) = 142

(7(137) + 78) - (6(137) + 73) = 142

(959 + 78) - (822 + 73) = 142

(1037) - (895) = 142

MARK ME BRAINLIEST PLEASE ❤️

The value of x is 137.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Hannah has created: 7x+78 lines of code

Sam has written: 6x + 73 lines of code.

Now, Hannah has written 142 more lines of code then sam.

So, Hannah - Sam = Difference

(7x + 78) - (6x + 73) = 142

7x + 78 - 6x - 73 = 142

7x - 6x + 78 - 73 = 142

x + 5 = 142

x = 142 (-5)

x = 137

Hence, the value of x is 137.

Learn more about Algebra here:

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Answer:

its c

Step-by-step explanation:

Multiply the starting height (60) by the height of each bounce (3/4) raised to the number of bounces (x)

H = (60)(3/4)^x

The answer to the given expression is:

H = 60(3/4)^x

A number is raised by another number which is called the power/exponent which implies that the number is multiplied by itself for that many number of times.

After every release, it bounces 3/4th of the previously released height.

After 1st bounce H = 60(3/4)

After 2nd bounce, it will be 3/4th of the previous H,

∴ H = 60(3/4)(3/4) = 60(3/4)^2

Similarly, after the 3rd bounce, it will be 3/4th of the previous H,

∴ H = 60(3/4)^2 * (3/4) = 60(3/4)^3

So it goes on like this. After x bounces,

H = 60(3/4)^x

Learn more about the Exponents at

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If we solve for Y then answer is..

Y=b-4

If we solve for B then answer is..

b=Y+4

Answer:

[tex]y = 2.5x + 75[/tex]

Step-by-step explanation:

Answer:

C.

Step-by-step explanation

make a line with that dots, and you will find the y-intercept, -2.

Answer:

-195.34

Step-by-step explanation:

Given data :

-49(4)+[tex]\frac{2}{3}[/tex]

It can be calculated as :

-196+0.66

-195.34

Therefore, given expression is equivalent to -195.34

Answer:

x = 4

Step-by-step explanation:

2/3x + 1/6 = 4/3x

Easiest way to solve is by multiplying the entire equation by 6x.

6x (2/3x + 1/6 = 4/3x)

4 + x = 8

subtract 4 rom both sides

x=4

Answer:

2*17²=length=578

apply Pythagoras theorem

Answer:345678098321

Step-by-step explanation: I think so lol

Answer:

x+5x=180( adj.suppl.ls)

6x=180

6x÷6=180÷6

x=30

Answer:

B. 3 x 3 x 3 x 3 = 81

Step-by-step explanation:

exponential expression 3⁴

This means multiplying 3 four times

= 3 × 3 × 3 × 3

= 81

B. 3 x 3 x 3 x 3 = 81 is the answer

Similarly, if you have 5³

This means you'll multiply 5 three times

5³ = 5 × 5 × 5

= 125

And

3¹ =

3 one time

3¹ = 3

Answer:

After the third bounce the ball reaches a height of less than 50cm.

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is always the same, and it's called common ratio. The nth term of a geometric sequence is given by:

[tex]A_n = A_0(r)^{n}[/tex]

In which [tex]A_0[/tex] is the first term and r is the common ratio.

A ball is dropped from a height of 5m.

This means that [tex]A_0 = 5[/tex]

After each bounce it rises to 35% of its previous height.

This means that [tex]r = 0.35[/tex]

Thus

[tex]A_n = A_0(r)^{n}[/tex]

[tex]A_n = 5(0.35)^{n}[/tex]

After how many bounces does the ball reach a Height of less than 50cm?

50cm = 0.5m. This is n for which [tex]A_n = 0.5[/tex]. Thus

[tex]A_n = 5(0.35)^{n}[/tex]

[tex]0.5 = 5(0.35)^{n}[/tex]

[tex](0.35)^n = \frac{0.5}{5}[/tex]

[tex](0.35)^n = 0.1[/tex]

[tex]\log{(0.35)^n} = \log{0.1}[/tex]

[tex]n\log{0.35} = \log{0.1}[/tex]

[tex]n = \frac{\log{0.1}}{\log{0.35}}[/tex]

[tex]n = 2.19[/tex]

Rounding up:

After the third bounce the ball reaches a height of less than 50cm.

Answer:

A/C

Step-by-step explanation:

Since the sum of the angles in a triangle equals 180°, and angle C is 90°.

That means angles A and B add up to 90°, that is, they are complementary angles. Therefore the cosine of B equals the sine of A.

We saw on the last page that sin A was the opposite side over the hypotenuse, that is, a/c. Hence, cos B equals a/c.

Your welcome! :)

Answer:

Angle 1 - 148

Angle 2 - 32

Angle 3 - 73

Angle 4 - 148

Angle 5 - 105

Step-by-step explanation:

Angle 1 forms a line with angle 32 and equals 180, therefore Angel 1 = 180 - 32 = 148

Angle 2 has the same value as the opposing angle, 32

Angle 3 combined with 32 and 75 equals 180, therefore

Angle 3 = 180 - 32 - 75

Angle 3 = 73

Angle 4 is equal to angle 1

Angle 5 combined with 43 and Angle 2 (32) equals 180

Angle 5 = 180 - 43 - 32

Angle 5 = 105

Answer:

[tex]b + 3 + \frac{4}{3b}[/tex]

Step-by-step explanation:

[tex]\frac{3b^2 + 9b + 4}{3b}[/tex]

=> 3b²/3b = b

=> 9b/3b = 3

=> 4/3b = 4/3b

Therefore the final answer would be;

[tex]b + 3 + \frac{4}{3b}[/tex]

Hope this helps!

Answer:

√200 and 5, √125 and 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

The word "opposite" is indicated by the - sign out front. Mathematically, we multiply a -1 into the parenthesis which, not coincidentally, changes the signs of everything inside the parenthesis, making them "opposite". The opposite of this polynomial is

- a - b - c

Answer:

The current population of Madagascar is 28,354,778 as of Thursday, June 10, 2021, based on Worldometer elaboration of the latest United Nations data.

Madagascar 2020 population is estimated at 27,691,018 people at mid year according to UN data.

Madagascar population is equivalent to 0.36% of the total world population.

Madagascar ranks number 51 in the list of countries (and dependencies) by population.

The population density in Madagascar is 48 per Km2 (123 people per mi2).

The total land area is 581,795 Km2 (224,632 sq. miles)

38.5 % of the population is urban (10,670,252 people in 2020)

The median age in Madagascar is 19.6 years.

Step-by-step explanation: i dont know man

Answer:

c)

Step-by-step explanation:

please don't trust ;-;

Answer:

p = 18

Step-by-step explanation:

given : n = -3

p = 2n^2

p=2*(-3)^2

p=2*8

p=18

Answer:

The ratio is 5:3 because there are 5apples and 3 pears