Answer:
−438°, -78°, 642°
Step-by-step explanation:
Given angle:
282°
To find the co-terminal angles of the given angle.
Solution:
Co-terminal angles are all those angles having same initial sides as well as terminal sides.
To find the positive co-terminal of an angle between 360°-720° we will add the angle to 360°
So, we have:
To find the negative co-terminal of an angle between 0° to -360° we add it to -360°
So, we have:
To find the negative co-terminal of an angle between -360° to -720° we add it to -720°
So, we have:
Thus, the co-terminal angles for 282° are:
−438°, -78°, 642°
Answer:
<u>x = 8√2</u>
Step-by-step explanation:
As the opposing side of the angle and the hypotenuse are given, take the sine ratio of the angle.
- sin 45° = x/16
- 1/√2 = x/16
- x = 16 / √2
- x = 16√2 / 2
- <u>x = 8√2</u>
Let the shortest side be x. Then the other two sides will be x+1 and x+2.
Perimeter = P = sum of the lengths of all three sides = x + (x+1) + (x+2)
This perimeter = 4x -1 (1 less than 4 times the shortest side).
Then x + x + 1 + x + 2 = 4x - 1
or: 3x + 3 = 4x -1 Subtr. 3x from both sides:
3 = x - 1
x=4, x+1=5, and x+2=6
The 3 sides have lengths 4, 5 and 6.
Answer:
3
⋅
x
x
+
y
Explanation:
The product of 3 and x divided by the sum of x and y is
P
r
o
d
u
c
t
o
f
3
and
x
S
u
m
o
f
x
and
y
.
Okay break it into smaller parts. The product of
3
and
x
is
3
⋅
x
um of
x
and
y
is
x
+
y
Now, we get
3
⋅
x
x
+
y
and that's it