One of the legs of a right triangle measures 16 cm and its hypotenuse measures 20
cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answer:

x = -3

y = 1

z = -2

Step-by-step explanation:

-2x + 3y + z = 7

-4x - y -2z = 15

x + 2y +3z = -7

|-2 3 1|

|-4 -1 -2|

|1 2 3|

Determinant of this from online determinant calculator is;

D = 21

For Dx, we have;

|7 3 1|

|15 -1 -2|

|-7 2 3|

Determinant of this from online determinant calculator is;

Dx = -63

For Dy, we have;

|-2 7 1|

|-4 15 -2|

|1 -7 3|

Determinant of this from online determinant calculator is;

Dy = 21

For Dz, we have;

|-2 3 7|

|-4 -1 15|

|1 2 -7|

Determinant of this from online determinant calculator is;

Dz = -42

From creamers rule;

x = Dx/D

y = Dy/d

z = Dz/d

Thus;

x = -63/21

x = -3

y = 21/21

y = 1

z = -42/21

z = -2

Thus,

x = -3

y = 1

z = -2

1*24= 24....

when any number is multiplied by one it gines the same no. for eg 241526×1=241526..

doesn't matter how greayer or smaller the number is....

Answer:

67.3

Step-by-step explanation:

Let x = unknown angle

Supplementary angles add up to equal 180

Hence 112.7 + x = 180

Solve for x

112.7 + x = 180

Subtract 112.7 from both sides

x = 67.3

An angle supplementary to an angle with a measure of 112.7 degrees has a measure of 67.3

Answer:

Answer:

- 3 + 2y

Step-by-step explanation:

[tex]\frac{-\frac{15}{2} +5y}{\frac{5}{2} }[/tex]

[tex]\frac{2}{5}( -\frac{15}{2} +5y} )[/tex]

[tex]-3+2y[/tex]

Step-by-step explanation:

Division by a fraction such as 5/2 is equivalent to multiplication by the reciprocal of the fraction (2/5).

Multiplying (-15/2 + 5y) by 2/5 yields:

-3 + 2y (answer)

Answer:

R’ = {(1,a) , (2,b)}

Step-by-step explanation:

For us to get the inverse, we switch the places of the x and y variables

The x variable goes to the place of the y variable and the y variable goes to the place of the x variable

we have this as;

R’ = {(1,a) , (2,b)}

Answer:

Step-by-step explanation:

y = 1/2x + 3

answer ..........(114,0.16)

Answer:

I dont mind answering but what is the question comment the question and i will solve it for you ;)

Answer:

[tex]a_n=a_{n-1}+8,n\geq 1[/tex]

[tex]a_1=-11[/tex]

Step-by-step explanation:

We are given that a sequence

-11,-3,5,13,...

[tex]a=a_1=-11[/tex]

[tex]a_2=-3[/tex]

[tex]a_3=5[/tex]

[tex]a_2-a_1=-3-(-11)=-3+11=8[/tex]

[tex]a_3-a_2=5-(-3)=5+3[/tex]

[tex]a_3-a_2=8[/tex]

Common difference between two consecutive terms is equal.

Hence, the sequence is Arithmetic.

Common difference, d=8

[tex]a_2=a_1+8=-3[/tex]

[tex]a_3=a_2+8=5[/tex]

[tex]a_4=a_3+8=13[/tex]

:

:

:

[tex]a_n=a_{n-1}+8, n\geq 1[/tex]

[tex]a_1=-11[/tex]

The correct option is B)

Let the fourth vertex D =(x,y)

We know that the diagonals of a parallelogram bisect each other. So, the.

The midpoint of AC is the same as the midpoint of BD.

Midpoint of two points (x 1 ,y 1 ) and (x 2,y 2) is  calculated by the formula ( 2x 1+x 2, 2y 1+y2 )

So, the midpoint of AC= Midpoint of BD

=>( 2−2+8, 23+3)=( 26+x, 27+y

=>( 6, 26)=( 26+x, 27+y)

=>6+x=6;7+y=6

=>x=0;y=−1

Hence, D=(0,−1)

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Answer:

1

Step-by-step explanation:

Hi!

[tex]A=(-1,-3) \ and \ B=(11,-8)\\\\|AB|=\sqrt{(11-(-1))^2+(-8-(-3))^2}\\\\|AB|=\sqrt{(11+1)^2+(-8+3)^2}\\\\|AB|=\sqrt{12^2+(-5)^2}\\\\|AB|=\sqrt{144+25}\\\\|AB|=\sqrt{169}\longrightarrow\boxed{|AB|=13}[/tex]

Answer:

d=13

Step-by-step explanation:

the steps are in the pics below

Answer:

Rs . 28 and Rs.56

Step-by-step explanation:

Explaination in figure

Please mark me as brainliest

Answer:

114.89 degrees

245.11 degrees

Step-by-step explanation:

cos is negative in the second and third quadrant ("pointing" on the x-axis to the left).

so, the first answer for the second quadrant is

114.89 degrees.

the answer for the third quadrant is then backwards the same angles from a full 360 degree rotation

360 - 114.89 = 245.11 degrees

Answer:

24/91

Step-by-step explanation:

6 red socks and 8 black = 14 socks

P( red) = red/total = 6/14 = 3/7

Keep the red sock

5 red socks and 8 black = 13 socks

P(black) = black / total = 8/13

P(red, black, keeping the sock) = 3/7 * 8/13 = 24/91

Answer: 105750

Step-by-step explanation:

From the sequence 9, 33, 57, 81, 105, the following can be derived:

a = First term = 9.

d = Common difference = 33 - 9 = 24

n = Number of terms = 94

The sum of the nth term will be:

= n/2[2a + (n – 1)d]

= 94/2 [(2 × 9) + (94 - 1) × 24]

= 47 [18 + (93 × 24)]

= 47[18 + 2232]

= 47 × 2250

= 105750

Therefore, the sum of the 94 terms of the sequence is 105750.

Answer:

0.9

Step-by-step explanation:

In order to get halfway between -0.5 and 2.3, first, we need to take their sum:

Sum of digits

Sum =  [tex]{-0.5+2.3}[/tex]

Sum =  [tex]1.8[/tex]

Take the average of the sum

Average = [tex]\frac{1.8}{2} = 0.9[/tex]

Hence the halfway between the numbers is 0.9

Answer:

sin C = 12/13

Step-by-step explanation:

Since this is a right triangle

Sin C = opp side / hypotenuse

sin C = 36/39

sin C = 12/13

Answer:

Step-by-step explanation:

a1 = - 7

d = 4

an = a1 + (n - 1) * d

an = - 7 + (n - 1) * 4

an = - 7 + 4n - 4

an = -11 + 4n

Try this out. Let n = 3

a3 = -11 + 4*3

a3 = - 11 + 12

a3 = 1   Which is what the series says.

Answer:

ii

Step-by-step explanation:

from what you've written in the comments I think this question requires you to find the equation that can be expressed in two variables,so the best way to do this is to solve the pairs as simultaneous equations and see the ones that will give you two answers x and y

if you solve the first pair you will have

x + y = 5

2x+2y=10

2(x + y =5)

1(2x+2y=10)

2x+2y=10

2x+2y=10--

now from this you will see that it cannot be expressed as two variables because the answer is just zero..

for the second equation it can be expressed as two variables

x - y = 8

3x-3y =16

3(x-y =8)

1(x-3y=16)

3x-3y=24

x - 3y=16

2x/2=8/2

x=4

x-y=8

4-y=8

-y=8-4

-y/-1=4/-1

y=-4...

so you see it can be expressed as two variables..

if you solve the third one it will also give you an answer which is zero so it can't be expressed as two variables.

and the fourth one also cannot.

I hope this helps and if you don't understand feel free to ask..and sorry if it's wrong

Answer:

Teresa tiene 1 chocolate.

Ella le da 1/3 del chocolate a Miguel, entonces ahora Teresa tendrá un chocolate menos un tercio de chocolate, es decir, ella tiene:

1 - 1/3 = 3/3 - 1/3 = 2/3 de un chocolate.

Ahora le da 1/4 a diego, entonces lo que le sobra va a ser:

2/3 - 1/4

recordar que tenemos que tener el mismo denominador en ambas fracciones, entonces podemos reescribir esto como:

(4/4)*(2/3) - (3/3)*(1/4)

(a cada fracción la multiplico y divido por el denominador de la otra)

8/12 - 3/12 = (8 - 3)/12 = 5/12

Es decir, Teresa finalmente tiene 5/12 del chocolate.

Entonces la parte de chocolate que repartió es lo que le falta, que se obtiene como:

1 - 5/12 = 12/12 - 5/12 = 7/12

Ella repartió 7/12 de su chocolate.

La fracción de chocolate que repartió Teresa es 7/12

Let we have to add two fractions as:

[tex]\dfrac{a_1}{b_1} + \dfrac{a_2}{b_2}[/tex]

Then we will find Lowest Common Multiple (LCM) of [tex]b_1[/tex] and [tex]b_2[/tex]

That will help to make the denominators same.

Once the denominators become same, the numerators can add up directly, giving us the final result of addition.

For this case, we're provided that:

So, the total part she gave is addition of those fractions.

Total part of chocolate Teresa gave = 1/3 + 1/4

LCM of 3 and 4 is 12 since 12 is the smallest number whose factors are 3 and 4 both(this is what LCM of two numbers denote).

Converting each fraction such that it has denominator 12, we get;
[tex]\dfrac{1}{3} \times\dfrac{4}{4} = \dfrac{4}{12}\\\\\dfrac{1}{4} \times\dfrac{3}{3} = \dfrac{3}{12}\\[/tex]

And their addition is:

[tex]\dfrac{1}{3} + \dfrac{1}{4} = \dfrac{4}{12} + \dfrac{3}{12} = \dfrac{7}{12}[/tex]

Thus, the portion of the chocolate that Teresa distributed is 7/12.

Learn more about fraction addition here:

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Answer:

A- The mean, because the data distribution is symmetrical

Step-by-step explanation:

When the number of values to the left and left of a distribution are almost or the same, such that the peak of the distribution is at the centre and the tail are spread out at both sides, then we say we have a symmetrical distribution. For, symmetrical data, the mean is the best measure of  centre. However, for non - symmetrical distributions (skewed) the median is usually taken as the measure of centre of the data. However, since the distribution Given above, is almost symmetrical, then the mean sglhoukdnbe the preferred measure of centre.

Answer:

second and fourth has real solution.

Step-by-step explanation:

hope this helps.

9514 1404 393

Answer:

  [tex]a_n=\dfrac{1}{2}n^3-\dfrac{1}{2}n^2+6n-3[/tex]

Step-by-step explanation:

The first differences are 8, 13, 21. The second differences are 5, 8. The second differences are not constant, so this is not a quadratic sequence.

If we assume it is a cubic sequence, a calculator tells us the formula is ...

  [tex]a_n=\dfrac{1}{2}n^3-\dfrac{1}{2}n^2+6n-3[/tex]

Answer:

Answer and Explanation: Given polynomial expression is: (5x2+3x−5)−(x2 −6x−4) ( 5 x 2 + 3 x − 5) − ( x 2 − 6 x − 4).

Step-by-step explanation:

Answer:

25x^2 -20x +4

Step-by-step explanation:

(5x-2)^2

FOIL

(5x-2)(5x-2)

25x^2 -10x -10x +4

25x^2 -20x +4

9514 1404 393

Answer:

  48

Step-by-step explanation:

The measure of the angle where the chords cross is the average of the measures of the intercepted arcs.

  (70 +x)/2 = 59

  x = 2×59 -70

  x = 48

Answer:g∘f(x)=g(f(x))=g(−3x+4)=(−3x+4)2. In x=−2 we have g∘f(−2)=(−2⋅−3+4)2=102=100.

Step-by-step explanation:

yuhhh babyyyy

Answer:

C. ∆ABD ≅ ∆CBD by the SSS Postulate

Step-by-step explanation:

We can prove that ∆ABD and ∆CBD congruent by the SSS Postulate.

The SSS postulate states that of three sides in one triangle are congruent to three corresponding sides in another, therefore, the two triangles are congruent.

From the diagram shown,

AB ≅ CB,

AD ≅ CD

BD = BD

We have three sides in ∆ABD that are congruent to three corresponding sides in ∆CBD.

Therefore, ∆ABD ≅ ∆CBD by the SSS Postulate

Answer: Triangles ABD and CBD are congruent by the SSS Congruence Postulate.

Hope it helps :)