Answer:
x = 8√2 units
Step-by-step explanation:
On a 45-45-90 triangle,<em> the ratio between one of the legs </em>(both are congruent)<em> and the hypotenuse is 1 : √2</em> (Improper but it still sends the message). That means the hypotenuse is √2 times as long as a leg.
x = 8 × √2
x = 8√2 units
Answer:
$125
Step-by-step explanation:
To solve for one ticket divide 75 by 3 to get 25. Then to solve for 5 multiply 5 x 25 to get 125. So 5 tickets cost $125.
Hope that helps and have a great day!
66 IS HER AGE, NICE PROBLEM
Answer:
The monthly payments are $73.50.
Step-by-step explanation:
Answer:
Explanation:
The distance traveled by June, from A to D, is the sum of the distance from A to C plus the distance from C to D:
- Travel from A to D = Distance AC + Distance DC.
<u>1) Find the distance AC</u>
- Triangle ABC is a right triangle, from which you have to calculate the hypotenuse (AC), knowing angle A (50º), and its adjacent leg (217 m).
- AC = 217m / cos (50º) = 337.59m
<u>2) Find the distance DC</u>
First, you need to calculate the side BC which is a common side of both triangles ABC and DBC.
You can use Pythagora's or a trigonometric function (tangent or sine).
- tan (50º) = BC / 217 m ⇒ BC = 217 m × tan (50º) = 258.61 m
Now you can use Pythagora's theorem to find the distance DC, which is the hypotenuse of the triangle DBC:
- DC² = (170m)² + (258.62)² = 95,779.41m²
<u>3) Find the total distance traveled from A to D</u>
- Travel from A to D = Distance AC + Distance DC = 337.59m + 309.48m = 647.07 m ≈ 647m.