Answer:
The answer to your question is Perimeter = 24.1 u
Step-by-step explanation:
Data
F (-4, 5)
G (1, 10)
H (-9, 10)
Process
1.- Calculate the distance from FG
dFG =
dFG =
dFG =
dFG =
dFG = = 7.07
2.- Calculate the distance from GH
dGH =
dGH =
dGH =
dGH = 10
3.- Calculate the distance from FH
dFH =
dFH =
dFH =
dFH =
dFH = = 7.07
4.- Calculate the perimeter
Perimeter = 7.07 + 10 + 7.07
= 24.1 units
Answer:
1.55s
Step-by-step explanation:
The height equation of the projectile is given as;
h = -16t^2 + vt + s .......1
where;
t is the time in seconds,
v is the upward velocity at the start,
s is the starting height.
Given;
v = 70 ft/s
s = 5 ft
Substituting the values equation 1 becomes;
h = -16t^2 + 70t + 5
For the ball to reach 75 ft, h = 0
75 = -16t^2 + 70t + 5
-16t^2 + 70t + 5 - 75 = 0
-16t^2 + 70t - 70 = 0
solving the quadratic equation;
Time t = 2.83 s and t = 1.55s
Therefore, the ball will first reach 75 ft after 1.55 seconds.
The required factor that equals 225 is 3 × 3 × 5 × 5.
To find what times what equals 225, we can factorize 225 by finding its prime factors. Here's the step-by-step solution:
Step 1: Start by dividing 225 by the smallest prime number, 2. However, 2 does not divide 225 evenly.
Step 2: Move on to the next prime number, 3. Divide 225 by 3: 225 ÷ 3 = 75. Since 3 is a factor, we can write 225 as 3 × 75.
Step 3: Repeat the process for the quotient, which is 75. Divide 75 by 3: 75 ÷ 3 = 25. Now we have 225 = 3 × 3 × 25.
Step 4: Continue factoring the remaining quotient, 25. Divide 25 by 5: 25 ÷ 5 = 5. Now we have 225 = 3 × 3 × 5 × 5.
Step 5: Since we have reached a prime factor, which is 5, and there are no more factors to consider, we can stop factoring.
Therefore, what times what equals 225 is 3 × 3 × 5 × 5.
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Answer: 4
Step-by-step explanation: I got this right on Edmentum.
The capacity of bucket in liters is 7570 liters.
A measurement unit is a unit to measure certain quantities.
For example, the mass can be measured in kilograms, length can be measured in meter and time can be measured in seconds.
To find the measurement of a new quantity known units can be used in operation. As to find the unit for speed we use m/s as a unit, where, m is the unit of distance and s is the unit of time.
Given that,
The capacity of bucket is 2 gallons.
Since one gallon = 3785 liters
The capacity of the bucket can be found by the conversion of unit as follows,
2 gallons = 2 × 3785
= 7570 liters
Hence, the volume of water the bucket can hold in liters is 7570 liters.
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Answer:
about 7.6 liters
Step-by-step explanation: