Answer:
3.33 miles per hour
Step-by-step explanation:
3.33 miles per hour
Answer:
The unknown sides are 60.81cm and 51.57cm while the unknown angle is 58degrees
Step-by-step explanation:
4a) Given the following
Opposite side = 38cm (side facing the given angle)
Required
Adjacent and hypotenuse side
According to SOH CAH TOA

Next is to get the adjacent

Next is to get the missing
Since sum of angle in the triangle is 180degrees
32 + 90 + x = 180
122 + x = 180
x = 180 - 122
x = 58degrees
Answer:

Step-by-step explanation:
<u>Trinomio Cuadrado Perfecto</u>
El producto notable llamado cuadrado de un binomio se expresa como:

Si se tiene un trinomio, es posible convertirlo en un cuadrado perfecto si cumple con las condiciones impuestas en la fórmula:
* El primer término es un cuadrado perfecto
* El último término es un cuadrado perfecto
* El segundo término es el doble del proudcto de los dos términos del binomio.
Tenemos la expresión:

Calculamos el valor de a como la raiz cuadrada del primer término del trinomio:


Calculamos el valor de a como la raiz cuadrada del primer término del trinomio:


Nos cercioramos de que el término central es 2ab:

Operando:

Una vez verificado, ahora podemos decir que:

Answer:
28 million college students.
Step-by-step explanation:
We can represent all college students as x. This means that all part-time college students are
. Because all part-time college students are also equal to 8.6 million, we have
. To find the number of total college students, or x, we have to multiply by 100/31 to get rid of the fraction on the other side:

The left side of the equation evaluates as
. Because we are asked to round to the nearest million, we have to round to 28 million, which is the closest.
We know that
The formula for combinations is
C=n!/[(n-r)!*r!]
where
n is the total number of objects you choose from
r is the number that you choose to arrange
in this problem
n=15 students
r=4 students
C=15!/[(15-4)!*4!]-----> C=15!/[11!*4!]---> (15*14*13*12*11!)/(11!*4*3*2*1)
C=(15*14*13*12)/(24)----->C=1365
the answer is
1365