Line TS is the perpendicular bisector of QR. Which of the following must be true?

Answer:

B

Step-by-step explanation:

Nesta questão, estamos interessados ​​em calcular a distância percorrida se um jogador correr a uma velocidade de 43,2 km / h por 3 segundos.

Matematicamente; a distância percorrida = velocidade * tempo

O problema que temos aqui é que nossas unidades não são consistentes.

A melhor maneira de fazer isso é ter unidades consistentes em metros por segundos e segundos, pois nossa resposta está em metros.

Portanto, a conversão que precisamos fazer aqui é converter 43,2 km / h em metros por segundo Matematicamente, sabemos que existem 1000 m em um quilômetro.

Da mesma forma, uma vez que 60 segundos fazem um minuto e 60 minutos fazem uma hora, o número de segundos em uma hora é 60 * 60 = 3.600 segundos

Assim, convertendo 43,2 km / h em m / s, temos; (43,2 * 1000) / 3600 = 12 m / s

Portanto, a distância percorrida em metros seria agora; velocidade em m / s * tempo em segundos = 12 m / s * 3 segundos = 36 m

Answer:

your answer is a = + √105 .

Answer:

1.  1 + 1 x 4 ÷ 1 = 8

Hope this helps.

Answer:

Hey there!

n+19=40

  -19=-19

n=21

Let me know if this helps :)

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ n = 21}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{n + 19 = 40}[/tex]

Move 19 to right hand side and change it's sign

⇒[tex] \sf{n = 40 - 19}[/tex]

Subtract 19 from 40

⇒[tex] \sf{n = 21}[/tex]

Hope I helped!

Best regards!!

Explanation:

The two given points have x coordinates of x = 6 each. They add to 6+6 = 12. Divide this in half to get 12/2 = 6. Since the x coordinates were both the same, the midpoint x coordinate is the same as well.

The y coordinates are a bit more interesting. Add them up to get -5+1 = -4. Then cut this in half to get -4/2 = -2. The y coordinate of the midpoint is -2.

Overall, the midpoint is (6, -2)

Answer:

the answer is (6.-2)...

Answer:

Alisha's approach is simpler and less complicated

Step-by-step explanation:

Given:

(m^2*n^-3) / (m^6*n^-1)

Tyrone's approach.

(m^2*n^-3) / (m^6*n^-1)

(m^2*n^-3)^3 / (m^6*n^-1)^3

You can find the cube root of both the numerator and denominator in order to eliminate the third power

3√((m^2*n^-3)^3 / 3√(m^6*n^-1)^3

This will take us back to the original expression

(m^2*n^-3) / (m^6*n^-1)

= m^(2-6)*n^(-3+1)

= m^-4*n^-2

= 1/(m^4*n^2)

Alisha's approach.

(m^2*n^-3)/(m^6*n^-1)

= m^(2-6)*n^(-3+1)

= m^-4*n^-2

= 1/(m^4*n^2)

The approach of both of them are correct, however, Tyrone's approach will make the expression more complicated but they would still arrive at the same answer. 1/(m^4*n^2)

===================================================

The right triangles are similar, allowing us to form the proportion below

BD/AD = AD/DC

5/AD = AD/9 .... substitution

5*9 = (AD)*(AD) .... cross multiply

45 = (AD)^2

(AD)^2 = 45

AD = sqrt(45) ... apply square root

We could simplify but your teacher has decided not to. If you want to simplify, then

AD = sqrt(45)

AD = sqrt(9*5)

AD = sqrt(9)*sqrt(5)

AD = 3*sqrt(5)

--------

Segment AD is the geometric mean of BD and DC.

AD = sqrt(BD*DC)

which is the result of solving BD/AD = AD/DC for AD

So,

AD = sqrt(BD*DC)

AD = sqrt(5*9)

AD = sqrt(45)

Answer:D

Step-by-step explanation:

Hope that helped

Answer:

its in the balls

Step-by-step explanation:

Answer:

f(3) = 18

Step-by-step explanation:

f(a) = 2a²,

Let a = 3

f(3)= 2 * 3^2

     = 2 * 9

     = 18

Answer:

60/100

Step-by-step explanation:

We know that 20 goes into 100 5 times, so we multiple numerator and denominator by 20 to get an equivalent fraction:

[tex]\frac{3}{5} (\frac{20}{20} )=\frac{3(20)}{5(20)} =\frac{60}{100}[/tex]

Answer:

98

Step-by-step explanation: All you have to do is multiply 6 by 3 and then multiply that answer by 2. Then you multiply 9 by 8 and subtract 2, then you add all that together and finally, subtract it by 8

Answer:

The answer is 402.

Step-by-step explanation:

First thing to do is substitute the variables.

6(3)^2+(9(8)-2)+8

Now, multiply and subtract what is in the parenthesis.

6(3)^2+(72-2)+8

6(3)^2+70+8

Now, multiply once again.

18^2+70+8

Now, simplify the exponents.

324+70+8=402

Answer:

Input value: 3

Step-by-step explanation:

If I'm understanding the question correctly it would look like this.

[tex]10 = 3x + 1[/tex]

Next: Subtract one

[tex]9 = 3x[/tex]

Divide by three to get x.

[tex]x = 3[/tex]

Step-by-step explanation:

[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]

In this we have give the value of x = 10

[tex]f(x) = 3x + 1[/tex]

[tex]f(10) = 3(10) + 1[/tex]

[tex]f(10) = 30 + 1[/tex]

[tex]f(10) = 31[/tex]

so the value of x is 31

hope it helps

Answer:

What do you mean like the the ratio of cm to inches?

Step-by-step explanation:

?

Answer:

The answer is 13

Step-by-step explanation:

The distance between 4 and 17 is 13 because addition

The distance between 4 and 17 is 13 units.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that the two numbers are 4 and 17.

The distance between 4 and 17 is calculated as below:-

To calculate the distance subtract the value 4 from the value 17.

Distance = 17 - 4 = 13 units.

Therefore, the distance between 4 and 17 is 13 units.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ6

Answer:

x = 6 or x = -2

Step-by-step explanation:

Solve for x:

2 x^2 - 8 x - 24 = 0

The left hand side factors into a product with three terms:

2 (x - 6) (x + 2) = 0

Divide both sides by 2:

(x - 6) (x + 2) = 0

Split into two equations:

x - 6 = 0 or x + 2 = 0

Add 6 to both sides:

x = 6 or x + 2 = 0

Subtract 2 from both sides:

Answer: x = 6 or x = -2

Answer:

Wendy will think cookie club chocolate cookies are not chocolatey enough

Step-by-step explanation:

Wendy thinks the perfect chocolate chip cookie has 35 chocolate chips for every 5 ounces of dough. Cookie Club makes batches of chocolate chips cookies with 100 chocolate chips and 15 ounces of dough. What will Wendy think about Cookie Club's cookies?

Perfect chocolate chip cookie=35 chocolate chips for every 5 ounces of dough

Wendy's perfect chocolate chip cookies = 35 chocolate chips for every 5 ounces of dough

= 35 : 5

=7:1

Cookie club chocolate chips cookies=100 chocolate chips for every 15 ounces of dough

=100 : 15

=20 : 3

Cookie club chocolate cookies have 3 times the amount of dough

Therefore,

Wendy will think cookie club chocolate cookies are not chocolatey enough

Answer:

Not choclatey enough

Step-by-step explanation:

square root = 24

Step-by-step explanation:

2x2x3x3x4x4 =576

Answer:

24

Step-by-step explanation:

2x2x3x3x4x4

= 2x3x4=24

Answer:

2.78 meters

Step-by-step explanation:

Subtract 6.22 from 9

9 - 6.22

= 2.78

So, she had 2.78 meters of rope left

Answer:

[tex]\huge\boxed{\mathrm{2.78\ meters}}[/tex]

Step-by-step explanation:

Heather had = 9 meters

She cut away = 6.22 meters

Heater have left:

=> 9 - 6.22

=> 2.78 meters

Answer:

80.145817

Step-by-step explanation:

4√10 = 80.145817

Answer: 140%

Step-by-step explanation:

From the question, we are informed that price increases from $50 to $120. The percentage change will be:

= (New price - Old price)/Old price × 100

= (120 - 50)/50 × 100

= 70/50 × 100

= 1.4 × 100

= 140%

Answer:

x = 8

Step-by-step explanation:

x/2 + 4 = 8

x/2 = 8 - 4

x/2 = 4

x = 4*2

x = 8

Probe:

8/2 + 4 = 8

4 + 4 = 8

Answer:

x = 8

Step-by-step explanation:

Therefore, x equals 8.

Answer:

-4.33333333333

Step-by-step explanation:

Greetings from Brasil...

To add or subtract fractions we can use the following expression:

- 5 and - 5/1 is the same

- 5 + 2/3 = - 5/1 + 2/3

(-5.3)/(1.3) + (2.1)/(1.3)

(- 15 + 2)/3

Answer:

7

Step-by-step explanation:

To find distance on a number line you add and 2+5=7

Answer:

Daniel has to wait around 5.24 years to withdraw the money.

Step-by-step explanation:

We are given that Daniel wants to open an account to purchase a new computer. He was able to put $750 into an account that pays him 8.5% interest. The cost of the computer he wants is $1,150.00.

Let the Principal sum of money be represented by 'P'.

The rate of interest be represented by 'R'.

The time period be represented by 'T'.

The final amount of money be represented by 'A'.

Assuming the interest given is compound interest.

So, the formula for calculating the amount of money is given by;

                          [tex]\text{A} = \text{P} \times (1-\text{R})^{\text{T}}[/tex]

Here, A = $1,150, P = $750, R = 8.5% and let the time he have to wait to withdraw the money be 'n'.

So, putting these values in the above formula we get;

[tex]\text{A} = \text{P} \times (1+\text{R})^{\text{T}}[/tex]

[tex]\text{\$1,150} = \text{750} \times (1+\text{0.085})^{\text{n}}[/tex]

[tex](1+\text{0.085})^{\text{n}} = \frac{\$1,150}{\$750}[/tex]

[tex](1+\text{0.085})^{\text{n}} = 1.533[/tex]

Taking log on both sides;

[tex]\text{n} \times ln(1+\text{0.085}) = ln(1.533)[/tex]

[tex]n = \frac{ ln(1.533)}{ ln(1.085)}[/tex]

n = 5.24 years

Hence, he has to wait around 5.24 years to withdraw the money.

Answer:

147.5 km and 64.4 km

Step-by-step explanation:

a=120  km

b=70  km

β=28 degrees ( ∘)

b^2=(a^2)+(c^2)−2ac*cosβ  

70^2 =(120^2 )+(c^2)−2⋅ 120⋅ c⋅ cos(28∘ )  

 (c^2 ) −211.907c+9500=0  

note p, q, and r are replacement variables in the Pythagorean theorem since a, b, and c are already in use

p=1;q=−211.907;r=9500  

D=(q^2 ) −4pr=(211.907^2 )−4⋅1⋅9500=6904.75561996  

D>0  

[tex]c_{1,2}[/tex]  =   (−q±  [tex]\sqrt{D}[/tex]   )/2p=(211.91±[tex]\sqrt{6904.76}[/tex])/2

​[tex]c_{1,2}[/tex]  =105.95371114±41.5474295834  

([tex]c_{1}[/tex]−147.501140726)([tex]c_{2}[/tex]−64.4062815596)=0

[tex]c_{1}[/tex]=147.501140726  

[tex]c_{2}[/tex]=64.4062815596  

Answer:

Step-by-step explanation:

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Answer:

Total- 617.48       Interest- 258.48

Step-by-step explanation:

First, we need to find out what 8% of 359 is.

.08 times 359 = 28.72. This is how much interest is gained in a year. Since she waited 9 years, we multiply 28.72  by 9 and get 258.48. This is the total interest.

Now we just add 258.48 and 359 to get 617.48.

Answer:

617.48

Step-by-step explanation:

SI = P x R x T / 100

SI = Simple Interest

P = Principal

R = Rate

T = Time

SI = 359 x 9 x 8 / 100

=> SI = 2872 x 9 /100

=> SI = 25848 /100

=> SI = 258.48

New Balance = Principal + Simple Interest

=> New Balance = 359 + 258.48

=> New Balance = 617.48

Answer:

The polynomial is -2x³ + 13x² + 3x - 54.

Step-by-step explanation:

The binomial expression is: (x - 6)

The trinomial expression is: (-2x² + x + 9)

Multiply the two expressions to determine the resulting polynomial as follows:

[tex](x-6)(-2x^{2}+x+9)=x(-2x^{2}+x+9)-6(-2x^{2}+x+9)[/tex]

                                   [tex]=-2x^{3}+x^{2}+9x+12x^{2}-6x-54\\=-2x^{3}+13x^{2}+3x-54[/tex]

Thus, the polynomial is -2x³ + 13x² + 3x - 54.