Amna wants to rent a boat and spend less than 51 . The boat costs 6 per hour, and Amna has a discount coupon for 3 off What are the possible numbers of hours Amna could rent the boat?

The simple interest that Oliver needs to pay is $ 90

Simple interest is nothing but interest on a loan at a rate. The formula for Simple interest is given below

Simple interest, I = ptr

where p = principal amount

t = time period in years

r = rate of interest in decimals

Here we have

Oliver borrowed $1,500 to purchase a riding lawn mower  

The rate of interest r = 12%

=> 12/100 = 0.12 (in decimals )

The time period given = 6 months = 0.5 years   [ 6/12 = 0.5 ]  

From the above formula,

The simple interest, I = ptr

=> I = $1,500(0.12) (0.5) = $ 90

Therefore,

The simple interest that Oliver needs to pay is $ 90  

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Answer:

x = 3, y = 5

Step-by-step explanation:

Given the equations

y = 2x - 1 → (1)

3x + 2y = 19 → (2)

Substitute y = 2x - 1 into (2)

3x + 2(2x - 1) = 19 ← distribute parenthesis and simplify left side

3x + 4x - 2 = 19

7x - 2 = 19 ( add 2 to both sides )

7x = 21 ( divide both sides by 7 )

x = 3

Substitute x = 3 into (1) and evaluate for y

y = 2(3) - 1 = 6 - 1 = 5

Answer:

Ejercicios Resueltos  

ANGULOS  

1. Si el complemento de ángulo x es 2x, ¿Cuál es el valor de x en  

grados?  

Solución:  

2x x 90 += °

3x 90

x 90 / 3

x 30

= °

= °

= °

2. Si el suplemento del ángulo x es 5x, ¿Cuál es el valor de x?  

Solución:  

5x+x=180

6x=180

x=180 /6

x=30

°

°

°

°

3- Determínese los dos ángulos x e y, cuya suma es 90 y cuya  

diferencia es 10 .  

°

°

Solución:  

-Planteamos el sistema de ecuaciones:  

x y 90

x y 10

+= °

−= °

-Resolvemos el sistema. Mediante el método de suma y resta  

obtenemos:  

2x 100

x 100 / 2

x 50

= °

= °

= °

-Hacemos la sustitución del valor encontrado de x en la primera  

ecuación: 50 y 90

y 90 50

y 40

°+ = °

= °−

= °

°

∴La solución al problema es x 50 , y 40 =°= °

°

4. Hállense dos ángulos complementarios tales que su diferencia sea  

30° .  

Solución:  

-Planteamos el sistema de ecuaciones:  

x y 90

x y 30

+= °

−= °

-Resolvemos el sistema. Mediante el método de suma y resta  

obtenemos:  

2x 120

x 120 / 2

x 60

= °

= °

= °

-Hacemos la sustitución del valor encontrado de x en la primera  

ecuación:  

60 y 90

y 90 60

y 30

°+ = °

= °−

= °

∴La solución al problema es x 60 , y 30 = °= °

°

5. Hállense dos ángulos suplementarios tales que el uno sea 20 mayor  

que el otro.  

°

Solución:  

-Planteamos el sistema de ecuaciones:  

x y 180

x y 20

+= °

=+ °

-Resolvemos el sistema:  

(y 20 ) y 180

2y 180 20

2y 160

y 80

+ °+ =

= °− °

= °

= °

-Hacemos la sustitución del valor encontrado de y en la primera  

ecuación: x 80 180

x 180 80

x 100

+ °=

= °−

= °

°

°

∴La solución al problema es:  

x = °= ° 100 , y 180

TRIANGULOS  

1.- ¿Cuánto miden cada uno de los ángulos interiores del siguiente  

triángulo?  

Solución:  

Nota: La suma de los ángulos interiores de los triángulos es  

180° .  

((( A B C 180 ++= °

3x 5x 4x 180 ++ = °

12x 180 = °∴( ( (( A 22.5 , B 52.5 , C 30 , CBR 127.5 = ° = ° =° = °

x 15 = °

∴( ( A 45 , B 75 ,C 60 =° =°= °

°

°

°

°

°

°

2.- ¿Cuánto miden cada uno de los ángulos del siguiente triángulo?  

Solución  

a) Ángulo extendido  

( ( B CBR 180 + = Esto debido a que son ángulos suplementarios  

(B 15x 60 180 + − °=

(B 180 60 15x = °+ °−

(B 240 15x = °−

b) Suma de los ángulos interiores del triángulo  

((( A B C 180 ++=

3x (240 15x) 4x 180 + °− + =

7x (240 15x) 180 + °− =

− + °= 8x 240 180− =− 8x 160°

x 7.5 =

∴( ( (( A 22.5 , B 52.5 , C 30 , CBR 127.5 = ° = ° =° = °  

3.- Escribe la definición de bisectriz del triángulo.  

Es la semirrecta que biseca el ángulo, es decir, divide el ángulo  

en dos ángulos congruentes.  

4.- ¿Qué es la mediatriz de un triángulo?  

La mediatriz de un lado de un triángulo (y en general de un  

segmento de recta), es la recta perpendicular a ese lado en su  

punto medio.  

5.- ¿Que es la mediana de un triángulo?  

La mediana de un triángulo, es el segmento de la recta que une  

un vértice con el punto medio del lado opuesto.  

CUADRILATEROS  

1.- ¿Qué cuadrilátero tiene las dos diagonales iguales y sus lados son  

iguales dos a dos?  

Rectángulo  

2.- Si los ángulos de un cuadrilátero miden, respectivamente, 80º, 110º  

y 70º, ¿Cuánto medirá el ángulo que falta?  

100º

3.- ¿Cuál es el paralelogramo que tiene las diagonales perpendiculares?  

Rombo  

4.- ¿Cómo se llama el cuadrilátero que tiene dos lados paralelos?  

Trapecio  

5.- Encuentra el área del paralelogramo que tiene 5cm de base y 3 de  

altura  

A b*a

A 5*3

A 15

=

=

=

POLÍGONOS 1.- Cuatro ángulos interiores de un pentágono valen respectivamente  

110°, 90°, 85° y 125°. ¿Cuánto vale el quinto ángulo?  

Solución:  

Si la suma de los ángulos interiores de un polígono es:  

180°*(n-2)=180°*(5-2) = 540°, a lo que le se le resta los  

valores de los ángulos que se dieron, consecuentemente, el  

quinto ángulo vale 130°.  

2.- ¿Cuántos lados tiene, en cada caso, el polígono cuyos ángulos  

interiores suman respectivamente 1080°, 900°, 1260°?  

Solución:  

Despejando de la fórmula el valor de n, tenemos que:  

. 2

180

suma angulos n = ° + , y esto aplicado a cada valor de la suma de los  

ángulos internos, obtenemos que los valores de n son 8, 7 y 9  

respectivamente.  

3.- ¿Cuánto vale cada ángulo exterior de un octágono regular?  

Solución:  

Aplicando el teorema de que la suma de los ángulos exteriores  

de un polígono es 360°, entonces cada ángulo exterior vale  

360°/8 = 45°  

4.- Calcular los ángulos exteriores de un triángulo rectángulo que tiene  

un ángulo agudo doble del otro.  

Solución:  

Se tiene que la suma de los ángulos interiores es  

180°*(n-2)= 180° y éste a su vez es igual a 90° + x + 2x,  

despejando x de 3x = 90°, x= 30°, entonces los ángulos  

interiores son 30°, 60° y 90°, teniendo como ángulos exteriores  

150°, 120° y 90°.

Step-by-step explanation:

The base of Octagon Towers has 135-degree inside angles on each side.

The formula: can be used to determine the size of each inner angle of a regular octagon.

(n-2) x 180 / n

where n is the polygon's number of sides.

n=8 for Octagon.

As a result, we can change n in the formula to 8:

(8-2) x 180 / 8 = 6 x 180 / 8

The base of the Octagon Towers is a regular octagon, the measure of each interior angle of the base of the Octagon Towers will be

135-degree

The base of Octagon Towers has 135-degree inside angles on each side.

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Full question

Octagon Towers is an octagon-shaped condominium building in Miami, Florida. Assuming the base of the Octagon Towers is a regular octagon, find the measure of each interior angle of the base of the Octagon Towers.

Each interior angle measures?

the q3 is just above the median so

Step-by-step explanation:

its higher by 5

Answer:

x=13

62+42=104

104/8

13

Answer:

x = 13

Step-by-step explanation:

Given angles are,

→ 62°

→ 8x - 42°

Now we have to,

→ Find the required value of x.

We know that,

→ Opposite angles are equal.

Forming the equation,

→ 62° = 8x - 42°

Then the value of x will be,

→ 62° = 8x - 42°

→ 8x - 42° = 62°

→ 8x = 62° + 42°

→ 8x = 104

→ x = 104/8

→ [ x = 13 ]

Hence, the value of x is 13.

Answer:

  $142.32, profit on sale of the policy

Step-by-step explanation:

You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.

The insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...

  0.000456 × $280,000 = $127.68

The company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...

  $270 -127.68 = $142.32

The expected value of the policy to the company is $142.32.

This represents its profit from sale of the policy.

__

Additional comment

Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."

<95141404393>

The net electric force that the two charges would exert on an electron placed at a point on the x-axis at x = 0.200 m is -2.40

Let's start by finding the distance between the electron and each point charge. The distance between the electron and the positive charge at the origin is:

r₁ = 0.200 m

The distance between the electron and the negative charge at x = 0.800 m is:

r₂ = 0.800 m - 0.200 m = 0.600 m

Now we can use Coulomb's law to find the magnitude of the electric force between each point charge and the electron. The force exerted by the positive charge is:

F₁ = k * q₁ * qe / r₁²

where qe is the charge of the electron, which is -1.60 x 10⁻¹⁹ C (negative because it is an electron). Plugging in the values, we get:

F₁ = (9.0 x 10⁹ N*m²/C²) * (4.00 x 10⁻⁹ C) * (-1.60 x 10⁻¹⁹ C) / (0.200 m)

F₁ = -1.44 x 10⁻¹⁴ N

The negative sign indicates that the force is attractive, since the electron is negative and the point charge is positive.

Similarly, the force exerted by the negative charge is:

F₂ = k x q₂ x qe / r₂²

Plugging in the values, we get:

F₂ = (9.0 x 10⁹ N*m²/C²) * (-6.00 x 10⁻⁹ C) * (-1.60 x 10⁻¹⁹ C) / (0.600 m)²

F₂ = 1.20 x 10⁻¹⁴ N

The positive sign indicates that the force is repulsive, since the electron is negative and the point charge is also negative.

Now we can find the net electric force on the electron by adding the two forces together:

Fnet = F1 + F2

Fnet = (-1.44 x 10⁻¹⁴ N) + (1.20 x 10⁻¹⁴ N)

Fnet = -2.40

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Complete Question:

A 4.00 n C point charge is at the origin, and a second − 6.00 n C point charge is on the x-axis at x = 0.800 m.

Find the net electric force that the two charges would exert on an electron placed at a point on the x-axis at x = 0.200 m.

The solution of the given algebraic expression is: ⁷/₁₂ + ⁴/₆q

We are given the algebraic expression as:

¹¹/₁₂ - ¹/₆q + ⁵/₆q - ¹/₃

Combining Like terms gives us:

(¹¹/₁₂ - ¹/₃) + (⁵/₆q - ¹/₆q)

Solving both brackets individually gives us:

((11 - 4)/12) + ⁴/₆q

= ⁷/₁₂ + ⁴/₆q

Thus, we conclude that is the solution of the given algebraic expression problem

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Answer:

6. 3.14 7. 172.03 8. 78.54 9. 380.13 10. 19.63 11.28.27

Answer:

You can add 45 grams of water to 15 grams of sugar to make a 25% sugar solution.

Step-by-step explanation:

To make a 25% sugar solution, you need to add a certain amount of water to 15 grams of sugar. To determine this amount, you can use the following formula:

(desired concentration / 100) x total volume = amount of solute (in this case sugar)

We know that the desired concentration is 25%, and the amount of solute is 15 grams. To find the total volume, we can use the following formula:

amount of solute / desired concentration = total volume

15 grams / 0.25 = 60 grams

So the total volume of the solution is 60 grams, and the amount of water you need to add to make a 25% sugar solution using 15 grams of sugar is 45 grams.

You can add 45 grams of water to 15 grams of sugar to make a 25% sugar solution.

Another way to think of it is to add 3 times the amount of water as the amount of sugar, since 25% of 60g is 15g

The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

1. Start with the given equation: 2-3cos(x) = 5+3cos(x).

2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.

3. Combine like terms: 2-6cos(x) = 5.

4. Subtract 2 from both sides: -6cos(x) = 3.

5. Divide both sides by -6: cos(x) = -1/2.

6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.

7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.

8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.

9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

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Answer:

C

Step-by-step explanation:

I hope this helps!

Answer:

c

Step-by-step explanation:

The period of the sound wave created by the tuba is approximately 0.0134 seconds.

The speed of sound in air is given as 343 meters per second. The formula relating the speed of sound, wavelength, and period of a wave is:

v = λ × f

Where:

v = speed of sound (343 m/s)

λ = wavelength (4.61 m)

f = frequency (unknown)

To find the period, we need to determine the frequency of the sound wave. The period (T) is the reciprocal of the frequency (f), so we can rewrite the formula as:

v = λ / T

Rearranging the equation to solve for the period (T), we get:

T = λ / v

Substituting the given values, we have:

T = 4.61 m / 343 m/s

Calculating the value, we find:

T ≈ 0.0134 seconds

Therefore, the period of the sound wave created by the tuba is approximately 0.0134 seconds.

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The probability that the student chosen at random is not a male that had a A grade is  0.85.

Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability = (number of students - males who had a A grade) / total number of students

(59 - 9) / 59 = 50 / 59  = 0.85

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Answer:

7a+2b-3c

Step-by-step explanation:

6a+a = 7a

2b stays the same

-3c stays the same

Answer:

Hey mate, here is your answer. Hope it helps you.

7a-3c+2b

Step-by-step explanation:

6a+a-3c+2b

=7a-3c+2b

3c and 2b will be the same because the variables are different. They are not like terms.

Answer:

b. x=4

Step-by-step explanation:

b. Because it is a square so the length of 4 equal are same

Answer:

33% of the people preferred onions

can i get brainliest now lol

Answer:

Understgand what?

Step-by-step explanation:

Answer:

whats your question?

Step-by-step explanation:

Answer: Grape production is maximized for 150 vines planted

Step-by-step explanation:

Answer:

First option) y= 2x - 3

Step-by-step explanation:

[] The y-intercept, our b, is -3. This does not rule out any of the options as they all have -3.

[] The slope, when we have a graph with clear points, can be found with rise-over-run. We will pick a point and then count up and over to the next point.

-> Starting at the y-intercept, (0, 3), we count up 2 and to the right 1 for a slope of 2/1. This simplifies to 2.

[] Our equation is y = 2x - 3

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

a and c I'm 99percent shure

Using the expression 5x/12 = 20, the amount that A originally had was $48.

We have,

Let x be the amount of money that A originally had.

Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.

The amount received by B is 1/2 of the remaining amount,

which is (x - x/6)/2 = 5x/12.

We know that 5x/12 = 20,

Solving for x.

5x/12 = 20

5x = 240

x = 48

Therefore,

The amount that A originally had was $48.

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cross-multiply

4(x-8) = 24

4x - 32 = 24

Add 32 to both-side

4x = 24 + 32

4x = 56

Divide both-side by 4

x= 14

Answer:

x² + y² = 74

Step-by-step explanation:

given

(x - y) = 8 ( square both sides )

(x - y)² = 8² ← expand left side using FOIL

x² - 2xy + y² = 64 ← substitute xy = 5

x² - 2(5) + y² = 64

x² - 10 + y² = 64 ( add 10 to both sides )

x² + y² = 74

Answer:

The expression is \(n = (\frac{1.645*0.5}{0.03})^2\)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

The margin of error is of:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

90% confidence level

So \(\alpha = 0.1\), z is the value of Z that has a p-value of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).

What expression would give the smallest sample size that will result in a margin of error of no more than 3 percentage points?

We have to find n for which M = 0.03.

We have no prior estimate for the proportion, so we use \(\pi = 0.5\). So

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.03 = 1.645\sqrt{\frac{0.5*0.5}{n}}\)

\(0.03\sqrt{n} = 1.645*0.5\)

\(\sqrt{n} = \frac{1.645*0.5}{0.03}\)

\((\sqrt{n})^2 = (\frac{1.645*0.5}{0.03})^2\)

\(n = (\frac{1.645*0.5}{0.03})^2\)

The expression is \(n = (\frac{1.645*0.5}{0.03})^2\)

Answer:

hope helpful <3 !!!!!!!

Answer:

3.2

Step-by-step explanation:

Step 1: Calculate

We calculate the square root of 10 to be:

√10 = 3.16227766016838

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

3.16

Step 3: Round

Round 3.16 so you only have one digit after the decimal point to get the answer:

3.2