Answer: The required expression would be 
.
Step-by-step explanation:
Since we have given that
Let the regular price of an item be 'p' dollars.
Discount % = 20%
So, Amount of discount would be
So, the expression represents the sale price would be
Hence, the required expression would be .
Answer:
x = 15°
Step-by-step explanation:
<u>We are given;</u>
sin(2x + 7) = cos(4x - 7)
We are required to solve for the value of x
- We need to know that for complementary angles;
Sin θ = Cos (90-θ) where, θ and 90-θ are complementary angles.
- Complementary angles are angles that add to 90°
- Therefore;
(2x +7) + (4x - 7) = 90
6x = 90
x = 15°
Therefore, the value of x is 15°
50mph for 1.5 hr
50 miles = 1 hr
25 miles = .5 hr
so that makes 75 miles so far
70/2 = 35 = .5 hr
75+35
110 miles
Juan drove 110 miles for a total of two hours
Answer:
166 2/13 deg
Step-by-step explanation:
The sum of the measures of the interior angles of a convex polygon of n sides is 180(n - 2).
A hexagon has 6 sides, so n = 6.
sum of measures of angles = 180(n - 2) = 180(6 - 2) = 180(4) = 720
4x + 5x + 6x + 7x + 8x + 9x = 720
39x = 720
x = 720/39
x = 240/13
The largest angle has measure 9x.
9x = 9 * 240/13 = 2160/13
2160/13 = 166 2/13
Answer: 166 2/13 deg
Answer:
about 0.81 miles
Step-by-step explanation:
Alyssa's route can be considered a right triangle with legs of length 19 and 28 (hundredths). The Pythagorean theorem tells us the hypotenuse (x) will satisfy ...
x^2 = 19^2 +28^2
x^2 = 1145
x = √1145 ≈ 34 . . . . hundredths of a mile
Then Alyssa's total route is ...
0.19 + 0.28 + 0.34 = 0.81 . . . . miles
