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.

One Of The Legs Of A Right Triangle Measures 16 Cm And Its Hypotenuse Measures 20cm. Find The Measure

Answers

Answer 1

Answer:

12.

Step-by-step explanation:

Use the Pythagorean theorem. 16^2+b^2=20^2. Multiply the exponents: 256+b^2=400. subtract 256 from 400=144. Therefore 144=b^2. the square root of 144 is 12.


Related Questions

f(x)= |3x+4| + 2
g(x)= 4
find (f + g) (x)

Answers

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

The coordinates of three vertices of a parallelogram are (2, 3), (6, 3) and (4, 7). What are the coordinates of the fourth vertex?

Answers

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.

What is the midpoint?

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)

Solve any question of Coordinate Geometry with.

To learn more about coordinate geometry visit:

https://brainly.com/question/18269861

#SPJ1

Which expression is equivalent to 1/3 (6m+15) +3

Answers

The correct answer is 2x + 8.
The answer is 2m + 8

Using Cramer's Rule, what are the values of x and y in the solution to the system of linear equations below? -2x + 3y + z = 7 -4x - y -2z = 15 x + 2y +3z = -7

Answers

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

x^4-x^2+x-1 is divided by x-1

Answers

Answer:

1

Step-by-step explanation:

30/2-15=15-15=0
So ur answer is 0 I hope this helps!

Please hurry I will mark you brainliest

Answers

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

Answer:

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

The measure of an angle is 112.7º. What is the measure of its supplementary angle?

Answers

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

What is the explicit formula for this sequence?
-7, -3, 1, 5, ...

Answers

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.

What is -4 square root of 12 + the square root of 75 in simplest radical form?

Answers

It’s -3 square root 3

hey please answer soon i need this done soon! 20points!!!

Which classification describes the system of linear equations?

{3x−y=2y=3x+2


consistent independent

inconsistent

consistent dependent

Answers

Answer:

consistent independent

Explanation:-The system of linear equations {3x−y=2y=3x+2 describes consistent independent .

Hope it is helpful to you stay safe healthy and happy ☺️

Solve: -15/2 + 5y divided by 5/2

Answers

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)

Instructions: Identify the type of sequence and write the recursive rule.



Sequence: −11,−3,5,13,…

Type: Geometric or Arithmetic?

an=an−1 - ?

a1= ?

Answers

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]

I NEEDDDDD HELPPPP PLEASEEEEEE!!!!!!!!

Answers

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

Given the box plot, will the mean or the median provide a better description of the center?
*box plot with min at 10.5, Q1 at 11.5, median at 12.5, Q3 at 13.5, max at 15*

Answers

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.

help me friends write in copy
20 pts so don't spam ​

Answers

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

It is given that cos 0 = -0.4209 and 0° 0 < 360°. Calculato the values of 0​

Answers

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

Add the first 94 terms of this sequence: 9, 33, 57, 81, 105,

Answers

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.


please help!! if you’re good at these i have a few more of them can you continue to help me i’m begging !!

Answers

Answer:

Step-by-step explanation:

y = 1/2x + 3

There are 6 red socks and 8 black
socks in a drawer. Without looking,
you pick out 2 socks to wear. What
is the probability of picking red, black?
a. 15/91
b. 14/27
c. 24/91

Answers

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


Determine which quadratic equations have
1 real solution. Select two that apply.

Answers

Answer:

second and fourth has real solution.

Step-by-step explanation:

hope this helps.

A. It is not possible to determine if the triangles are congruent
B. ∆ABD ≅ ∆CBD by the SAS Postulate
C. ∆ABD ≅ ∆CBD by the SSS Postulate

Answers

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 :)

If A=(-1,-3) and B=(11,-8), what is the length of line ab?

Answers

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

what is 1*24 equals to

Answers

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....

What number is halfway between -0.5 and 2.3

Answers

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

Divide Rs 84 in 1:2 ratio​

Answers

Answer:

Rs . 28 and Rs.56

Step-by-step explanation:

Explaination in figure

Please mark me as brainliest

What is the value of this variable

Answers

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

teresa repartee un chocolate entre sus hermanos. ella le dio 1/3 a miguel y 1/4 a diego. que parte de chocolate repartido teresa?

Answers

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

How to add two fractions?

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:

Teresa gave 1/3th of the chocolate to MiguelTeresa gave 1/4th of the chocolate to Diego.

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:

https://brainly.com/question/17544795

What is the nth term of the quadratic sequence

3 11 24 45

Answers

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]

If R ={(a,1),(b,2)} then which one is the inverse of the relation R?​

Answers

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)}

what is the answer to this polynomial (5x-2)^2?

Answers

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

Other Questions
When pony and Johnny are in trouble,Pony tells us.Dallas Winston could do anything.What specific evidence from this chapter supports Ponys statement. The book THE OUTSIDERS CH.4 Describe life during the Neolithic Age (New StoneAge). The sampling distribution of a statistic _________. Group of answer choices gives all the values a statistic can take gives the probability of getting each value of a statistic under the assumption it had resulted due to chance alone is a probability distribution all of the options plz help brainliest to correct answer suppose that this decade begins on 1 january 2020 which is wednesday and the next decade begins on 1 january 2030. how many Wednesday are there in this decade? A local rental car agency has 200 cars. The rental rate for the winter months is 60%. Find the probability that in a given winter month fewer than 140 cars will be rented. Use the normal distribution to approximate the binomial distribution. Rewrite the polynomial in the form ax+by+c and then identify the values of a, b, and c.x -- 1 -- 2y Mary is thinking of a mystery number. She reduces it by 15% then subtracts 5. The result is 29. Determine the mystery number to what extent does human activity affect language? Differentiate the mgf M(t)=e4.6(et1) - 2/3 (2 - 1/5) use distributive property If f(x) = 2x + 1 and g(x) = x2 - 2, find f(g(3)). 3. If b = 110, what is the value of g? I need help completing this problem ASAP Renaissance humanists Group of answer choices celebrate the human being as the central fact in all the created world. intensify the otherworldliness embedded in medieval culture by emphasizing that human perfection is possible only in the life to come. tend to be pessimistic about humanity's prospects. see clearly that a good human life, as represented in the classics, is incompatible with Christianity. Given that h(x) = 5-2x, find the value(s) of x when h(x) =3 A(x)=7x^3 -5x^4-2x +1 ;B(x)= 6x+ 5x^4 -7x^3 -17 tnh A(x) -B(x) An industry can be defined as a group of: a. companies offering products or services that are close substitutes for each other. b. brands that offer different products but are owned by a single firm. c. different kinds of companies that are based in the same geographic location. d. companies that are different but generate similar amounts of revenues. e. manufacturing plants of a single company. What is the type of vocabulary an author uses in a text Use the photo and caption to research this time period or event of the war. What is the historical context (background) of the photo? What led up to this event happening? Provide historical evidence and support.If you cannot see the attachment, the picture is: "USS SHAW exploding during the Japanese raid on Pearl Harbor." December 7, 1941.