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tangare [24]
2 years ago
10

Identify the height of the rectangle, given that A=(24x2+96x) ft2.

Mathematics
1 answer:
ch4aika [34]2 years ago
3 0

Answer:

Second option, h=(x^{2} + 4x) ft

Step-by-step explanation:

Area = Base x Height

Height = Area ÷ Base

= \frac{24x^{2} +96x}{24}

= \frac{24x^{2} }{24} +\frac{96x}{24} (split fraction for easier simplification)

= x^{2} +4x

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If the sumof two numbers,n and m,is rational,which statement is true?
Nataly_w [17]

Option B:

Both n and m must be rational.

Solution:

Given information:

Sum of two numbers, n and m are rational.

<u>To find which statements are true:</u>

Option A: Both n and m may be rational but do not have to be.

It is not true because n and m given is rational.

It have to be rational.

Option B: Both n and m must be rational.

Yes, n and m must be rational then only the sum of numbers are rational.

It is true.

Option C: Both n and m must be irrational.

Sum of irrationals will be sometimes irrational and sometimes can't add.

So it is not true.

Option D: One number is rational and the other is irrational.

Rational and irrational cannot be add.

So it is not true.

Option B is true.

Both n and m must be rational.

5 0
2 years ago
Draw 4 non collinear points
harina [27]
I don't know if you have to do this on a graph, or just on a blank space. But, noncollinear means, "not on the same line". So, if you were to draw four points in a blank spot on a piece of paper, just draw four points in random places, making sure they aren't all directly in line with eachother. For a graph, use points like: (-6,2), (5,7), (8,3), and (1,-3). Notice that none of them have the same x or y coordinates, so they can't possibly be collinear.
4 0
3 years ago
Una torre de 28.2 m de altura esta situada a la orilla de un rio, desde lo alto del edificio el ángulo de depresión a la orilla
Svet_ta [14]

Answer:

El ancho del río es 59.9 metros.

Step-by-step explanation:

El ancho del río lo podemos calcular con la siguiente relación trigonométrica asumiendo que la torre forma un triángulo rectángulo con el río:

tan(\theta) = \frac{CO}{CA}

En donde:

CA: es el cateto adyacente = Altura de la torre = 28.2 m

CO: es el cateto opuesto = ancho del río =?

θ: es el ángulo adyacente a CA

Dado que el ángulo de depresión (25.2°) está ubicado fuera de la parte superior de la hipotenusa del triángulo que forma la torre con la orilla opuesta del río, debemos calcular el ángulo interno (θ) como sigue:

\theta = (90 - 25.2)^{\circ} = 64.8 ^{\circ}

Ahora, el ancho del río es:

CO = tan(\alpha)*CA = tan(64.8)*28.2 = 59.9 m

Por lo tanto, el ancho del río es 59.9 metros.

Espero que te sea de utilidad!                  

4 0
2 years ago
What are the roots to this quadratic equation?
myrzilka [38]
16x^2=9
x^2=9/18
x=sqrt(9/16)
x=3/4,-3/4
so the root of the quadratic equation are 3/4 and -3/4 
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3 years ago
Hudson runs 4 miles per day. What is the relationship between the number of days and how many miles he has run
Citrus2011 [14]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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