Answer:
A = 153.94 sq mi
Step-by-step explanation:
In this scenario, we would be starting from the center point and searching the area of a square since the distance in every direction would the same 7 mi. This 7-mile distance would be our radius in this scenario. We now need to use the formula for the Area of a circle to calculate the search area. This formula is the following
A = 
A = 
A = 
A = 153.94 sq mi
A total of 153.94 square miles must be searched.
Answer: The number is 12
Step-by-step explanation:
n=number
2n-8=16
2n=24
n=12
Answer:
y = 2/3x + 3
Step-by-step explanation:
y - 5 = 2/3(x - 3)
y - 5 = 2/3x - 2
y = 2/3x - 2 + 5
y = 2/3x + 3
Answer:
Step-by-step explanation:
Let the speed of Masha = s, speed of Dasha = d
- Distance = 20 km
- Time difference = 20 min = 1/3 hr
- Speed difference = 2 km/h
<u>As per above info we get following equations:</u>
- s = d + 2
- 20/s + 1/3 = 20/d
<u>Substitute s and solve for d:</u>
<u>Get rid of fraction by multiplying all terms by 3d(d + 2):</u>
- 60d + d(d + 2) = 60(d + 2)
- 60d + d² + 2d = 60d + 120
- d² + 2d = 120
- d² + 2d + 1 = 121
- (d + 1)² = 11²
- d + 1 = 11
- d = 10
<u>Find s:</u>
<u>The answer is</u>
- Masha's speed 12 km/h and Dasha's speed 10 km/h
Answer:
smaller number is 10
larger number is 39
Step-by-step explanation:
a = small number
b = larger number
a + b = 49
2a = 3b - 97
substitute 49-a into second equation for b
2a = 3(49-a) - 97
2a = 147 - 3a - 97
5a = 50
a = 10
b = 39
