I am pretty confident that for question 2 ANSWER: line 3
for question 1 : I think they all are strange but I am going with line 1
if this is correct could you mark me as brainliest?
Answer:
Isolate the angle 2x, by following the reverse "order of operations".
Step-by-step explanation:
Explanation:
Step 1: Add 1 to both sides:
2
cos
2
(
2
x
)
=
1
Step 2: Divide both sides by 2:
cos
2
(
2
x
)
=
1
2
Step 3: Take the square root of both sides:
cos
(
2
x
)
=
√
2
2
or
cos
(
2
x
)
=
−
√
2
2
(don't forget the positive and negative solutions!)
Step 4: Use inverse of cosine to find the angles:
2
x
=
cos
−
1
(
√
2
2
)
or
2
x
=
cos
−
1
(
−
√
2
2
)
Step 5: Find angles that work:
2
x
=
π
4
or
2
x
=
7
π
4
or
2
x
=
3
π
4
or
2
x
=
5
π
4
Step 6: Solve for x:
x
=
π
8
,
7
π
8
,
3
π
8
,
5
π
8
or .785, 5.5, 2.36, 3.93
(decimal approximations are seen on the graph below)
Answer:
Step-by-step explanation:
l = length
b = breadth
We know the length is twice the breadth, therefore l = 2b
We also know that the perimeter p = 60m and can also be expressed as a sum of its sides where p = l + l + b + b = 60 which simplified is:
60 = 2l + 2b
Now we have 2 variables, but thankfully we were given a ratio (l = 2b) relating the two. Substituting 2b in for l gives us:
60 = 2(2b) + 2b = 4b + 2b = 6b
60 = 6b
b = 10 m
Now that we know the breadth we can find the length:
l = 2b → l = 2(10) = 20 → l = 20 m
With a breadth of 10 m and a length of 20 m
8n+10=50 <-- Original Equation
8n=40 <-- Use the Subtraction Property of Exponents to remove the 10 from the left
n=5 <-- Use Division Property of Exponents to remove the 8 from the n and find the unit of n
The number of bracelets Larina can purchase is five.
9514 1404 393
Answer:
x = 12.75
∠C = 51.75°
Step-by-step explanation:
The two marked angles are complementary, so ...
(5x -12) +(3x) = 90
8x = 102
x = 102/8
x = 12.75
__
C = (5x -12)° = (5(12.75) -12)°
∠C = 51.75°
__
<em>Check</em>
E = 3x = 38.25, then C+E = 51.75 +38.25 = 90 . . . . as it should
