We will use the formula for distance;
XY =
Applying the same formula
YZ =
XZ =
XZ^2 + YZ^2 is not equal with XY^2 which means the triangle is not right.
In order to make the triangle right, we have to take X and Z on the same x-line which means Z will be (6, 1) and Z and Y to be on the same y-line which means Y will be (6, 6). The point will be:
X(1, 1)
Y(6, 6)
Z(6, 1)
XY =
YZ =
XZ =
It means that: YZ^2+XZ^2=XY^2 and the triangle is right.
Answer:
wassup
Step-by-step explanation:
Answer:
The required inequality that shows the maximum number of packages is 
.
Step-by-step explanation:
Consider the provided information.
Each package weighs 3 pounds and Jacob weighs 99 pounds.
let <em>n</em> is the maximum number of package that Jacob can carry with himself in the elevator.
Thus, the total weight of Jacob while having <em>n</em> packages on the elevator is:
The elevator can carry a maximum of 300 pounds at a time, therefore.
Now, subtract 99 from both sides and divide the obtained inequality with 3.
Thus, the Jacob can carry maximum 67 packages.
Hence, the required inequality that shows the maximum number of packages is .
Answer:
Step-by-step explanation:
<u>Use cosine:</u>
- cos = adjacent / hypotenuse
- cos ∠L = KL/JL
- cos 21° = 4/x
- x = 4 / cos 21°
- x = 4.3 (rounded)
Answer:
Using sine ratio:
As per the statement:
The angle of elevation from Sara to kite in the sky is 53° and the length of the string is 32 feet. and Sara is 5 feet tall.
⇒Angle of elevation( 
) = 53° and
Hypotenuse side = 32 feet (As you can see the figure as shown below)
then;
Apply the sine ratio in triangle ACE we have;
Multiply both sides by 32 we get;
Simplify:
CE = 25.5563363215 feet.
Then:
DE = CD+CE = 5 + 25.5563363215 = 30.5563363215 ≈30.6 feet.
Therefore, 30.6 feet far off the ground is the kite.
