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2 years ago

Find the area of the triangle, also am I correct???

Mathematics

2 answers:

Delicious77 [7]2 years ago

7 0

Answer:

10.92 cm^2

Step-by-step explanation:

The area of a triangle is found from

A = 1/2 bh where b is the base and h is the height

b = 2.8 and h = 7.8

A = 1/2 (2.8) * (7.8)

10.92 cm^2

Ierofanga [76]2 years ago

3 0

Answer:

The area of the triangle is 10.92 cm².

Step-by-step explanation:

The formula for the area of a triangle is

$A=\frac{1}{2}bh$

where b is the length of the base and h is the height. We know that b = 2.8 and h = 7.8, so you would substitute into the formula:

$A=\frac{1}{2}(2.8)(7.8)=10.92$ cm²

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A sport statistician gathered data on the number of points scored in each game by high school basketball players across the coun

Sonbull [250]

For a sample size of 20 players, 68% of the sample means fall within 19.32 and 20.98

<h3>What is a sample size?</h3>

The sample size is a term used in market research for defining the number of subjects included in a sample size. By sample size, we understand a group of subjects that are selected from the general population and is considered a representative of the real population for that specific study.

Empirical rule states that for a normal distribution, 68% of the values are within one standard deviation from the mean, 95% of the values are within two standard deviation from the mean and 99.7% of the values are within three standard deviation from the mean.

For a population mean of 20.15 and a standard deviation of 3.7

68% are within μ ± σ/√n,

hence,

68% = 20.15 ± 3.7/√20 = (19.32, 20.98)

For a sample size of 20 players, 68% of the sample means fall within 19.32 and 20.98.

To learn more about sample size from the given link:

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6 0

1 year ago

Suponga que desea utilizar un servicio de correo particular para enviar un paquete que tiene forma de caja rectangular con una s

statuscvo [17]

a) El volumen de la caja en función de su longitud es:

$V_{caja}=\frac{x^{3}}{16}-\frac{25x^{2}}{2}+625x$

b) El dominio de la ecuación del volumen son todos los números reales.

c) Las dimensiones del paquete con el mayor volumen posible son:

longitud de la caja x = 30 plg

lado de la sección transversal L = 17.5 plg

Definamos x como la longitud de la caja y L como el lado de la sección transversal, que es cuadrada para este caso.

Sabemos que la suma de su longitud (x) y el perímetro de la sección transversal (P = 4L) es igual a 100 plg.

$x+4L=100$ (1)

Ahora, el volumen de esta caja rectangular está dada por:

$V_{caja}=A_{base}*x$

$V_{caja}=L^{2}*x$ (2)

Pero necesitamos expresar el volumen en función de x.

Despejamos L de la ecuación (1) y remplazarlo en (2).

Por lo tanto el volumen en función de x será.

$V_{caja}=(\frac{100-x}{4})^{2}*x$

$V_{caja}=\frac{x^{3}}{16}-\frac{25x^{2}}{2}+625x$

Al ser la función un polinomio de orden 3 el dominio de esta función son todos los numeros reales.

Observando la gráfica de esta función, podemos ver que para un valor aproxiamdo de x = 30 plg el valor de V tiene un punto de inflección, es por definición de maximización de una función que podemos usar ese punto para encontrar las dimensiones de la caja.

Por lo tanto si x = 30 plg el valor de L usando la ecuacion (1) sera:

$L=\frac{100-x}{4}$

$L=\frac{100-30}{4}=17.5\: plg$

Por lo tanto la máxima dimensión de la caja es:

x = 30 plg

L = 17.5 plg

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6 0

2 years ago

A company plans on selling MP3 players for $120. To make the MP3 players, a cost estimator determined it costs the company $1500

lana66690 [7]

Answer:

6000

Step-by-step explanation:

Each mp3 sells at $120 per mp3 player multiply that by 100 its $12000

It cost them $45 per mp3 to be made multiply that by 100 its $4500 then add the $1500 for the week and its $6000

$12000-$6000=$6000

They make a profit of $6000 in a week

7 0

2 years ago

In five minutes 25 cars, 8 trucks, 12 vans and 2 motorcycles drove past the house. Which

zheka24 [161]

Answer:

12 vans : 8 trucks

Step-by-step explanation:

12/3=4

8/2=4

therefore this would be your answer.

25/3= 8.33 25/2=12.5

2/3- 0.66 2/2=1

8/3= 2.66

12/2=6

Hope this helps

4 0

2 years ago

sally is on a scavenger hunt. a clue tells her to walk 100 steps due south from the starting point and then walk west when she g

Sophie [7]

Answer:

She should take 112 steps west

Step-by-step explanation:

* Lets explain the relation between the four directions

- North and South on the same line by in opposite directions

- East and West on the same line by in opposite directions

- East and West are perpendicular to the North and South

* Now lets study the situation i the problem

- Sally 100 steps due to South from the starting point

- Then she walk West when she gets the next clue

- The distance between her starting point and ending point is 150 steps

∵ The South is perpendicular to the West

- Lets consider her trip is a right angle triangle ABC, where AB

her steps South and BC her steps West and AC the distance

between her starting point and ending point

∵ AB = 100

∵ AC = 150

∵ m∠B = 90°

- By using Pythagoras theorem

∵ BC = √(AC² - AB²)

∴ BC = √(150² - 100²) = 50√5 = 111.8 steps

* She should take 112 steps west

8 0

2 years ago