Answer:
5.83 inches
Step-by-step explanation:
The card is a rectangular shaped object, drawing a diagonal from one corner to the other, divides the rectangle into two right angled triangles with the diagonals as the hypothenuse.
Using Pythagoras theorem.
c^2 = a^2 + b^2
Given;
Side a = 3
Side b = 5
Substituting the given values;
c^2 = 3^2 + 5^2
c = √(9+25)
c = √34
c = 5.83 inches
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (-5, -7)
Point (-4, 1)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope<em> m</em>
- Substitute in points [SF]:

- [Fraction] Add:

- [Fraction] Divide:

Answer:
Distance between automobile and the truck is 100 feet.
Step-by-step explanation:
Speed of the automobile towards the intersection = 30 ft per sec
Speed of the truck that crosses the intersection = 40 ft per sec.
Automobile is 120 feet apart when the truck passes through the intersection.
After 2 seconds distance traveled by the automobile = Speed × time
= 30 × 2
= 60 feet
So the distance of the automobile from the intersection = 120 - 60
= 60 feet
Distance traveled by truck in 2 seconds = 40 × 2
= 80 feet
Now distance between them can be calculated by Pythagoras theorem
Distance = 
= 
= 
= 100 feet
Therefore, after 2 seconds distance between the truck and the automobile will be 100 feet.