what’s the lengths of the sides using pythagoras

The missing value is 12 in a system of equations with infinitely many solutions conditions.

It is given that in the system of equations there are two equations given:

[tex]\rm y =n -2x+4\\\rm and \\\rm 6x+3y= ?[/tex]

It is required to find the missing value in the second equation.

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

We have equations:

[tex]\rm y = -2x+4 ....(1)\\ \\\rm 6x+3y= ? ....(2)[/tex]

Let's suppose the missing value is 'Z'

We know that the two pairs of equations have infinitely many solutions if and if they have the same coefficients of variables and the same constant on both sides.

From equation (1)

[tex]\rm y = -2x+4 \\\\\rm 2x+y=4[/tex](multiply both the sides by 3)

[tex]\rm 6x+3y=12[/tex] ...(3)

By comparing the equation (2) and (3), we get

M = 12

Thus, the missing value is 12 in a system of equations with infinitely many solutions conditions.

Learn more about the linear equation.

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Answer:

Step-by-step explanation:

i can't solve without seeing the prism

Answer:

-47

Step-by-step explanation:

you don't you use the calcaulator

Using the Pythagorean Theorem, it is found that the balloon rises 67.08 feet.

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

Researching this problem on the internet, it is found that the situation is modeled by a right triangle, in which the horizontal distance between the balloon and the student is of 60 ft, the vertical distance is of h, while the hypotenuse is of 90 ft, hence:

[tex]60^2 + h^2 = 90^2[/tex]

[tex]h = \sqrt{90^2 - 60^2}[/tex]

[tex]h = 67.08[/tex]

The balloon rises 67.08 feet.

More can be learned about the Pythagorean Theoremat https://brainly.com/question/26396675

The length of the bridge and the length the dog swam are 12.12 feet and 32.36 feet respectively

The problem forms a right angle triangle.

A right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonometric ratios.

Therefore, the length of the bridge and the length the dog swam can be calculated as follows:

tan 68° = opposite / adjacent

tan 68° = 30 / x

cross multiply

x = 30 / tan 68

x = 12.12 ft

length of the bridge = 12.12 ft

The length the dog swim is as follows:

sin 68°= opposite / hypotenuse

sin 68° = 30 / h

h = 30 / sin 68

h = 32.3561767942

The distance the dog swimmed = 32.36 ft

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Answer:

b=133 and c=47

Step-by-step explanation:

b+47=180

b=180-47=133

b=133

and

c=b+133=180

c=180-133=47

c=47

Answer:

3/12 + 239/12 = 20.16...

2309/23 + 32/32= 101.39

34/234 + 349/234=1.64

23/23-11/23= 0.52

57/78-32/78 = 0.32

Step-by-step explanation:

Just divide both sides first and then add, so it is easier to get your answer.

My answers are all rounded or repeated.

I hope this helps!

-No one

Answer/Step-by-step explanation:

3/12 + 239/12

3 + 239 = 242

242/12 = 20 1/6

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Find common multiplier

2309/23 + 32/32

Add

2332/23

Mixed Fraction

101 9/23

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

34/234 + 349/234

23 + 349 = 383

383/234

Mixed Fraction

1 149/234

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

23/23-11/23

23 - 11 = 12

12/23

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

57/78 - 32/78

57 - 32 = 25

25/78

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~lenvy~

Answer:

Step-by-step explanation:

x = 5.4178

10000x = 54178.178

10x =              54.178              Subtract: that gets rid of the repeating decimal.

9990x  =        54124               Divide by 9990 on both sides

9990x/9990 = 54124/9990  The Greatest common divisor of these two is 2

x = 27062/ 4995

p/q = 27062 / 4995

Answer:

a = 26

Step-by-step explanation:

29 + 33 + 27 + a + 19 + 17 + 10 / 7 = 23

135 + a / 7 = 23

135 + a = 161

a = 26

x           - inf            - 8              1/5              + inf

x+8                   -     0       +                +

5x-1                  -               -          0     +

result               +      0      -          ║     +

x+8/(5x-1) > 0 if x € ] -inf ; - 8[ U ] 1/5 ; + inf [

=> x < - 8 and x > 1/5

The solution to the inequality (x + 8)/(5x - 1) ≤ 0 is:

x ∈ (-∞, -8] ∪ [1/5, ∞)

We have,

To solve the inequality (x + 8)/(5x - 1) ≤ 0,

We can use the following steps:

Step 1:

Find the critical values of x where the expression (x + 8)/(5x - 1) is equal to zero or undefined.

The expression is undefined when the denominator is equal to zero:

5x - 1 = 0

x = 1/5

The expression is equal to zero when the numerator is equal to zero:

x + 8 = 0

x = -8

Therefore,

The critical values are x = -8 and x = 1/5.

Step 2:

Create a sign chart to determine the sign of the expression (x + 8)/(5x - 1) for each interval between the critical values.

On the interval (-∞, -8), the expression (x + 8)/(5x - 1) is negative if x + 8 is negative, which means x < -8.

On the interval (-8, 1/5), the expression (x + 8)/(5x - 1) is positive if both the numerator and denominator are negative, or if both are positive.

The numerator is negative on this interval, so the expression is positive if the denominator is negative, which means x < 1/5.

On the interval (1/5, ∞), the expression (x + 8)/(5x - 1) is negative if the numerator is negative and the denominator is positive, which means x > 1/5.

Step 3:

Write the solution in interval notation.

Therefore,

The solution to the inequality (x + 8)/(5x - 1) ≤ 0 is:

x ∈ (-∞, -8] ∪ [1/5, ∞)

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Answer:

(4, 1 )

Step-by-step explanation:

x + 6y = 10 → (1)

x + 5y = 9 → (2)

subtract (2) from (1) term by term to eliminate x

0 + y = 1

y = 1

substitute y = 1 into either of the 2 equations and solve for x

substituting into (1)

x + 6(1) = 10

x + 6 = 10 ( subtract 6 from both sides )

x = 4

solution is (4, 1 )

Answer:

If B stands alone in the option,B is the answer.But if it doesn't,choose none or neither

Step-by-step explanation:

Mutually exclusive events are events that do not occur at the same time.On the venn diagram,mutually exclusive events do not overlap. Hence, B is a mutually exclusive event because W and T overlap. Since B doesn't stand alone in any option,the answer is none

Answer:

[tex] - 3 \frac{1}{6} \div ( - 1 \frac{4}{9} ) \\ \\ - \frac{19}{6} \div ( - \frac{13}{9} ) \\ \\ - \frac{19}{6} \times ( - \frac{9}{13} ) \\ \\ - \frac{19}{2} \times ( - \frac{3}{13} ) \\ \\ = \frac{57}{26} = 2 \frac{5}{26} = 2.1923[/tex]

Answer:

2 5/26

Step-by-step explanation:

1) convert 3 1/6 to improper fraction. Use this rule: a b/c = ac+b/c

- 3 * 6 + 1/ 6 ÷ -1 4/9

2) Simplify 3*6 to 18.

-18+1/6 ÷ -1 4/9

3) Simplify 18 + 1 to 19.

-19/6 ÷ -1 4/9

4) convert 1 4/9 to improper fraction. Use this rule: a b/c = ac+b/c

-19/6 ÷ -1*9+4/4

5) Simplify 1 * 9 to 9

-19/6 ÷ -9+4/9

6) Simplify 9 + 4 to 13.

-19/6 ÷ -13/9

7) Use this rule: a ÷ b/c = a × c/b

-19/6 × 9/-13

8) Use this rule: a × c/d = ac/bd

- 19*9/6*-13

9) Simplify 19 * 9to 171

-171/6*-13

10) Simplify 6 * -13 to -78

-171/-78

11) Move the negative sign to the left.

-(-171/78)

12) simplify 171/78 to 57/26

-(-57/26)

13) Remove parentheses.

57/26

14)  Convert to mixed fraction.

2 5/26

Answer:

I would say that a is NOT an inverse, however b is.

Step-by-step explanation:

If you look at the two tables for a, you can tell that every pair has swapped places (as they should) except 0 and 9. In which in the second table, what should be the 9 in the x row, is just another 0 in its place.

While if you look at the two tables for b, every single pair has been swapped like it should, meaning the second table is the inverse of the first table.

Hope this helps you btw. I'm sorry if it doesn't though.

Answer: $284.20

Step-by-step explanation:

In the picture

Answer:

6 Hours

Step-by-step explanation:

No.of leaflets---no.of people---work hours

1000 ————. 4. - — — — — — — 5

1500 — — — —5 — — — — — ,— —?

If work increase, no.of people needed more

So, the required ratio is 1500/1000

If work men increase, no of hours decrease

So, the required ratio is 4/5

(1500/1000)× (4/5)×5 = 6

No.of hours required to distribute 1500 leaflets by 5 people = 6 hours

Answer:

higher

Step-by-step explanation:

should be higher since 6 x 15 is 90, which is far away from 150

Answer:

should be higher

Step-by-step explanation:

because 6×15=90 and 90+19 is lower than 150

Unit conversion is a way of converting some common units into another without changing their real value. 30 fishes can flourish in a fish tank with a capacity of 976 cups.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given that the length will be 1 yard 3 inches, the width will be 1. 5 feet, and the height will be 20 inches. Therefore, Converting all the dimensions to inches.

Length = 1 yard 3 inches = 36 inches + 3 inches = 39 inches

Width = 1.5 feet = 1.5×12 = 18 inches

Height = 20 inches

A.) The volume of the fish tank can be written as,

[tex]\rm \text{Volume of the Fish Tank} = Length \times Width \times Height[/tex]

                                      [tex]= 39 \times 18 \times 20\\\\= 14,040\rm\ in^3[/tex]

Thus, the volume of the fish tank is 14,040 in³.

B.) As we know that a cup is equal to 0.0625 gallons. Therefore, the capacity of the fish tank in gallons can be written as,

[tex]\rm 1\ cup= 0.0625\ gallons\\\\976\ cup= 976 \times 0.0625\ gallons\\\\976\ cup= 61\ gallons[/tex]

Now, for a total of 30 fish, the water that will be needed is one fish needs 2 gallons of water is,

[tex]\rm Water\ Needed = 30 \times 2 = 60\ gallons[/tex]

As the water needed for the 30 fishes to flourish is 60 gallons while the tank has a capacity of 61 gallons.

Hence, 30 fishes can flourish in a fish tank with a capacity of 976 cups.

Learn more about Units conversion:

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Answer:

CD = 13.75

Step-by-step explanation:

Focus on only half of the rectangle as a triangle

We'll use pythagorean theorem to find the unknown side

[tex]10^{2} +CD^{2}=17^{2}\\CD^{2} = (17^{2} - 10^{2})\\CD^{2}=\sqrt{189} \\CD = 13.75[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♪[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \:f(x) = g(x)[/tex]

[tex]\qquad \sf  \dashrightarrow \:x + 2 = - {x}^{2} + 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + x + 2 - 4 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + x - 2 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 2x - x - 2 = 0 [/tex]

[tex]\qquad \sf  \dashrightarrow \:x(x + 2) - (x + 2) = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x + 2)(x - 1) = 0[/tex]

Hence, x = -2 or x = 1

The exponential function f(x) = 3^x, when x has a value of 2 increases by 9.

An exponential function is a function that is in the form: m = ab^x

Where:

F(x) = 3^x

3^2 = 9

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

We need to know two formulas before we start ~

Taking value of pi as 3.14

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \:d = 7.4[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = d \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 7.4 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 3.7 \: \: units[/tex]

[tex]\qquad \sf  \dashrightarrow \:area = 3.14 \times (3.7) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:a = 42.9866 \approx43 \: \: unit {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 2.2 \: yd[/tex]

[tex]\qquad \sf  \dashrightarrow \: circumference = 2 \times 3.14 \times 2.2[/tex]

[tex]\qquad \sf  \dashrightarrow \: c =13.816 \: yd[/tex]

[tex]\qquad \sf  \dashrightarrow \:d = 5 \: cm[/tex]

[tex]\qquad \sf  \dashrightarrow \:circumference = 3.14 \times 5[/tex]

[tex]\qquad \sf  \dashrightarrow \:c = 15.7 \: \: cm[/tex]

[tex]\qquad \sf  \dashrightarrow \:d = 6 \: cm[/tex]

[tex]\qquad \sf  \dashrightarrow \:circumference = 3.14 \times 6[/tex]

[tex]\qquad \sf  \dashrightarrow \:c =18 .84 \: \: cm[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 2.1 \: m[/tex]

[tex]\qquad \sf  \dashrightarrow \:area = 3.14 \times (2.1) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:a = 3.14 \times 4.41[/tex]

[tex]\qquad \sf  \dashrightarrow \:a \approx13.85 \: \: m {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 1.3 \: mm[/tex]

[tex]\qquad \sf  \dashrightarrow \:c = 2 \times 3.14 \times 1.3[/tex]

[tex]\qquad \sf  \dashrightarrow \:c = 8.16 \: \: mm[/tex]

Answer:

Ok, to find MAD, you have to add up all of the decimals in the set, and then divide by how much decimals there are in the set.

Adding them all up...

The final result of the adding is 56.7

Now, we have to divide by how much decimals.

We now have. 56.7 / 6

Do the division.

56.7 / 6 ===> 9.45

No need to round, the final answer is 9.4

Answer:

[tex](\frac{2}{3})^{4}[/tex] written in simplest form is [tex]\frac{16}{81}[/tex]

Step-by-step explanation:

When taking a fraction to a certain power, you can rewrite the expression as the numerator taken to that power over the denominator to that power. In this case, the fraction is [tex]\frac{2}{3}[/tex] and the exponent is 4, so you can write the expression as [tex]\frac{2^{4}}{3^{4}}[/tex]. [tex]2^{4}[/tex] is 16, and [tex]3^{4}[/tex] is 81, so the fraction is [tex]\frac{16}{81}[/tex].

Answer:

2(m+8)

Step-by-step explanation:

5(m+2) -3(m-2)

= 5m+10-3m+6

= 2m+16

= 2(m+8)

Answer:

Step-by-step explanation:

[tex]\begin{aligned}& 5(m+2)-3(m-2) \\\\=& 5 m+5 \times 2-(3 m-6) \\\\=& 5 m+10-3 m+6 \\\\=&(5 m-3 m)+(10+6) \\\\=& 2 m+16\end{aligned}[/tex]

Answer: 20%

Step-by-step explanation: Add all the marbles together:5 + 8 + 6 +11= 30

Find the probability of orange: 6/30

Now divide 6 by 30= .2

Turn .2 into a decimal: 20%

Answer:

Here we will explain how to calculate one half of 80.

One half of 80 is simply one half times 80, which can be written as follows:

One/half x 80

Furthermore, you can convert "one" to "1" and "half" to "2" and then the equation and answer is:

1/2 x 80 = 40.00

Step-by-step explanation:

Hey there!

In order to find 1/5 of 80, we can just multiply 80 times 1/5:

[tex]\bold{\displaystyle\frac{1}{5} *80}[/tex]

80 can be written as follows:

[tex]\bold{\displaystyle\frac{1}{5} *\frac{80}{1}}[/tex]

In order to multiply fractions, just multiply the top of one fraction times the top of the other fraction; same with the bottom (also called the denominator)

[tex]\bold{\displaystyle\frac{80}{5}}[/tex]

Guess what? Now we can use mental maths to solve it :)

Hence, the answer is

[tex]\boxed{\boxed{\bold{16}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#ILoveLearning

:-)