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IrinaK [193]
3 years ago
7

Wyatt is flying a kite in the park. The kite is a horizontal distance of 24 feet from Wyatt's position and a vertical distance o

f 72 feet.
Find the slope of the kite string?
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
4 0
75.89 is what i got if i did it correctly (24x24)+72x72)=5,760 and then you would find the square rt of that
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Aubrey invested $61,000 in an account paying an interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawa
Hitman42 [59]

Answer: 9.9 years.

Step-by-step explanation:

If interest is compounded continuously, then formula to compute final amount A = Pe^{rt}, where P =initial amount, r= rate of interest , t=time.

Given: P= $61,000, r= 1.9% =0.019  , A = $ 73600

Substitute all values in formula

73600=61000e^{0.019t}\\\\\Rightarrow\ \dfrac{73600}{61000}=e^{0.019t}\\\\\Rightarrow\ 1.20655738=e^{0.019t}

Taking natural log on both sides

\ln (1.20655738)=0.019t\\\\\\ 0.18777116=0.019t\\\\\\ t=\dfrac{0.18777116}{0.019}\\\\\\ t=9.88269263\approx9.9\ \text{years}

Hence, the required time = 9.9 years.

4 0
3 years ago
3 times the first of three consecutive odd integers is 3 more than twice the third? what is the third integer
fenix001 [56]

Answer:

15

Step-by-step explanation:

The difference between consecutive integers is 1.

The difference between consecutive odd integers is 2.

Let the smallest odd integer be x.

Then the next greater one is x + 2. The greatest one is x + 4.

"3 times the first" is 3x

"twice the third" is 2(x + 4)

"3 times the first of three consecutive odd integers is 3 more than twice the third"

3x = 2(x + 4) + 3

3x = 2x + 8 + 3

x = 11

The smallest integer is 11.

x + 4 = 11 + 4 = 15

The greatest one is 15.

4 0
3 years ago
Una página de plástico diseñada para guardar cromos puede contener hasta 9 cartas. ¿Cuántas páginas se necesitarán para almacena
adelina 88 [10]

Esto significa que debemos tener 58 páginas de plástico para contener las 517 tarjetas.´

<h3>¿Cuántas páginas se necesitarán para almacenar 517 tarjetas? </h3>

Sabemos que cada página puede almacenar hasta 9 cartas.

Entonces queremos ver cuantos grupos de 9 cartas hay en el conjunto de 517, para ver esto tomamos el cociente entre 517 y 9.

N = 517/9  = 57.44

Y no podemos tener un numero racional, así que debemos redondear al proximo número entero, que es 58.

Esto significa que debemos tener 58 páginas de plástico para contener las 517 tarjetas.

Sí quieres aprender más sobre cocientes:

brainly.com/question/3493733

#SPJ1

8 0
10 months ago
Use the box method to distribute and simplify (3x – 1)(-5x + 1)
Softa [21]

Answer:

-15x^2 +8x -1

Step-by-step explanation:

(3x – 1)(-5x + 1)=

3x(-5x) + 3x(1) - 1(-5x) -1 =

-15x^2 +3x +5x -1 =

-15x^2 +8x -1

see my other articles for quiz and assignment in my site.

just copy and paste "learningandassignments diy4pro" to google search engine.

hope it helps.

4 0
3 years ago
The equation y = 35.25x + 40 gives the labor cost y of repairing a car if it takes x hours to repair the car. Which statement is
Ad libitum [116K]
Repari cost (x) = y = 35.25 x + 40

x = number of hours to repair the car.

Every hour the cost will increase 35.25, becasue 40 is a fixed cost.

if x = 1, repair cost(1)  = 35.25 + 40

if x = 2, repair cost (2) = 35.25*2 + 40

if you subtract repair cost (1) from repair cost (2) you get 35.25*2 - 35.25 = 35.25

The same thing every time the repair time increases one hour. 

Answer: the last option of the list, for every hour of labor, the cost increases by $35.25
5 0
3 years ago
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