Answer:
84,3 ° Sureste
Step-by-step explanation:
El diagrama vectorial que tipifica la pregunta se muestra en la imagen adjunta.
La dirección del avión es la dirección de la velocidad resultante.
Si esta dirección es θ
θ = tan ^ -1 (400/40)
θ = 84,3 ° Sureste
Answer:
2 units
Step-by-step explanation:
The given equation of the circle is:

The general equation of the circle is:

Comparing the given equation with the general equation we can say:
g = 4
f = -3
c = 21
The formula for radius of the circle is:

Using these values of the given circle, we get:

Therefore, the length of radius of the given circle is 2.
the height of the house is
.
<u>Step-by-step explanation:</u>
Here we have , To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to the top of the house was 32 degrees. Katie then moved 200 feet closer to the house along a level street and determined the angle of elevation was 42 degrees. We need to find What is the height of the house . Let's find out:
Let y is the unknown height of the house, and x is the unknown number of feet she is standing from the house.
Distance of house from point A( initial point ) = x ft
Distance of house from point B( when she traveled 200 ft towards street = x-200 ft
Now , According to question these scenarios are of right angle triangle as
At point A
⇒ 
⇒ 
⇒
..................(1)
Also , At point B
⇒ 
⇒
..............(2)
Equating both equations:
⇒ 
⇒ 
⇒ 
⇒ 
Putting
in
we get:
⇒
⇒ 
⇒ 
Therefore , the height of the house is
.
Answer:
22
Step-by-step explanation:
Pretend the 10 values in the first sentence are a,b,c,d,e,f,g,h,i,j
Pretend the addition 5 values is k,l,m,n,o
So the mean of all the 15 data is (a+b+c+d+e+f+g+h+i+j+k+l+m+n+o)/15=20
So the sum of all 15 data is a+b+c+d+e+f+g+h+i+j+k+l+m+n+o=300 since 15(20)=300
Now let's look at the first 10: We have their mean so we can write:
(a+b+c+d+e+f+g+h+i+j)/10=19
so a+b+c+d+e+f+g+h+i+j=190 since 10(19)=190
So that means using our first sum equation and our equation sum equation we have
190+k+l+m+n+o=300
k+l+m+n+o=300-190
k+l+m+n+o= 110
So the average of those 5 numbers mentioned in your problem is 110/5=22
V<span>ertical angles are equal.
We have 4x = 2x + 18.
Then, 2x = 18;
x = 18 </span>÷ 2;
x = 9 degrees;
The measure of angle DBE is 2 × 9 + 18 = 36 degrees.