Answer:
15
Step-by-step explanation:
Simplify the following:
8×9 - 6×7 - 15
8×9 = 72:
72 - 6×7 - 15
-6×7 = -42:
72 + -42 - 15
72 - 42 - 15 = 72 - (42 + 15):
72 - (42 + 15)
| 4 | 2
+ | 1 | 5
| 5 | 7:
72 - 57
| 6 | 12
| 7 | 2
- | 5 | 7
| 1 | 5:
Answer: 15
Answer:
1 Triangle
Step-by-step explanation:
By adding all these 3 angle measures (45°, 75°, 60°) we are getting 180° in sum. And as we know that normal triangle has 180° , so that it equal only to one triangle.
Two Angles are Supplementary when they add up to 180 degrees. Notice that together they make a straight angle. But the angles don't have to be together.
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)
A) 122 in^2, this is because 3 x 7 x 2= 42, 4 x 7 x 2= 56, 3 x 4 x 2= 24, once you add up all the sums it equals 122
