Answer:
(x, y) = (0, -3)
Step-by-step explanation:
The point Y is on the y-axis. Its x-coordinate will be zero, since it is neither left nor right of the y-axis.
The point Y is 3 units below the x-axis, so its y-coordinate is -3. This is the value you can read on the y-axis next to point Y.
(x, y) = (0, -3)
_____
U(-5, 0)
V(-3, 3)
W(5, 5)
X(-4, -5)
Y(0, -3)
Z(2, -1)
It is a good idea to learn to read coordinates from a graph. You will be doing it a lot. The x-coordinate is the number of units right of the y-axis. The y-coordinate is the number of units up from the x-axis. Left or down makes the coordinate negative.
By using trigonometric relations, we will see that x = 9.97°.
<h3>
How to find the missing angle?</h3>
First, we need to find the bottom cathetus of the smaller triangle, we will use the relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus).
Where:
- θ = 26°
- Adjacent cathetus = k
- Opposite cathetus = 55ft.
Replacing that we get:
Tan(26°) = 50ft/k
Solving this for k, we get:
k = 55ft/tan(26°) = 112.8 ft
Now, we can see that the longer triangle adds 200ft to this cathetus, so now we will have:
- angle = x
- opposite cathetus = 55ft
- adjacent cathetus = 112.8ft + 200ft = 312.8ft.
Then we have:
Tan(x) = (55ft/312.8ft)
Using the inverse tangent function in both sides, we get:
x = Atan(55ft/312.8ft) = 9.97°
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
Answer:
The answer for this question is D
Step-by-step explanation:
because x represents the number of games which is unknown plus 1.50 for the shoe rental
Answer:
$280
Step-by-step explanation:
Step one
Given data
A mechanic makes $350 /week
20% of his income is deducted for taxes
Required
the mechanic's take-home pay for the week
Step two:
let us find 20% of $350
=20/100*350
= 0.2*350
=$70
Therefore the take-home pay is
= 350-70
= $280
Answer:
31
Step-by-step explanation:
