Answer:
Henry is approximately 276 feet from his starting point.
Step-by-step explanation:
To find how many feet Henry is from his starting point, you can use the Pythagorean theorem because he walked in both the north and west directions, creating a right triangle. Here's the calculation:
1. The distance he walked north is 200 feet.
2. The distance he walked west is 190 feet.
3. The 45-degree angle forms a right triangle.
Now, use the Pythagorean theorem:
a² + b² = c²
Where:
a = 200 feet (north)
b = 190 feet (west)
a² + b² = c²
(200)² + (190)² = c²
40000 + 36100 = c²
76100 = c²
Now, find the square root of 76100:
c = √76100 ≈ 276 feet
So, Henry is approximately 276 feet from his starting point.
red, blue, red, red, blue, red, blue, red, green, red
a) 14 m wide
b) 13 m wide
c) 12 m wide
d) 11 m wide
You would multiply that number by 1.175
Remember that 17.5%=17.5/100=0.175
I this case, there is a whole number that is increasing by 17.5% so we add a whole to the 17.5%
100%+17.5%=117.5% or 1.175
So if 'x' was the number, the expression would look like:
1.175x
Step-by-step explanation:
Weight of the puppy at 4 weeks old:
pounds = pounds
This weight is 3/5th times of the weight of puppy in 16 weeks. Let's assume the weight of puppy in 16 weeks be x. Then, 3/5th of x is 45/4 pounds.
Inequationform,
Multiplying 5/3 both sides to isolate x on LHS,
pounds
The equation used for finding the weight of puppy is 3x/5 = 45/4. And Jayden's puppy weighed 18.75 pounds in 16 weeks.