3.906m
Step-by-step explanation:
from the topic angle of elevation and depression
putting down the above question diagrammatically
we have a triangle
The angle of elevation pad looking up = 38°
using the tangent rule TOA
TAN∅= OPPOSITE/ADJACENT
we have
tan 38° = x/5
x= tan 38° × 5
x= 0.781 * 5
x = 3.906m
Answer:
2.99
Step-by-step explanation:
<em>Note: [log10 = 1]</em>
<em> [log8 = 0.903089987]</em>
2log10 = 0.3010
<em> </em>22log8 = x
Therefore:
<em>2log10 x = 22log8</em>
<em>x = 2.99</em>
<em> </em>
The dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.
<h3>What is the Pythagoras theorem?</h3>
The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
We have:
Rover the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall. The other end of the leash is tied to the top of an 8-foot pole.
After drawing a right-angle triangle from the above information.
Applying Pythagoras' theorem:
60² = 6² + x²
After solving:
x = 59.69 ≈ 59.7 foot
Thus, the dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.
Learn more about Pythagoras' theorem here:
brainly.com/question/21511305
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Answer:

Step-by-step explanation:
According to the remainder theorem, if a function f(x) is divided by (x-a), then the remainder is defined by f(a).
It is given that
has a remainder of 14.
Here, the function f(x) is divided by (x+6). So, on comparing (x+6) and (x-a), we get

So, by remainder theorem, remainder of
is f(-6).
Since the remainder is 14, therefore

Therefore, the answer for first blank is -6 and for second blank is 14, i.e.,
.
Queremos encontrar la medida de un lado de un rectangulo, dado que conocemos la longitud del otro lado y el area del rectangulo.
Veremos que el otro lado del rectangulo mide 3/5 cm
Sabemos que para un rectangulo de largo L y ancho W, el area esta dada por:
A = L*W
En este caso sabemos que el area es igual a (15/40) cm^2.
Y sabemos que uno de sus lados (digamos que es el ancho) mide (5/8) cm.
Entonces podemos reemplazar eso en la ecuación del area:
(15/40) cm^2 = L*(5/8) cm.
Ahora podemos resolver esto para L.
L = (15/40 cm^2)/(5/8 cm) = (15/40 cm^2)*(8/5 cm^-1)
L = 3/5 cm
El otro lado del rectangulo mide 3/5 cm
Sí quieres aprender más, puedes leer:
brainly.com/question/8916743