Answer:
Step-by-step explanation:
Bottom triangle
Area = b * height
b = 4 + 4 = 8 cm
h = 5.75
Area = 1/2 * 5.75 * 8
Area = 23 cm^2
Trapezoid
b1 = 8
b2 = 4
h = 2
Area = (b1 + b2)*h/ 2
Area = (8 + 4)*2 /2
Area = 12
Total area = 23 + 12
Total area = 35
The prove that the equation can be verified using the laws of exponents.
<h3>What is the proof of the equation given; 2^(2x+4)= 16 × 2^(2x)?</h3>
It follows from the task content that the equation given is; 2^(2x+4)= 16 • 2^(2x).
It follows from the laws of indices ; particularly, the product of same base numbers.
The evaluation is therefore as follows;
2^(2x+4)= 16 • 2^(2x)
2^(2x) • 2⁴ = 16 • 2^(2x)
2^(2x) • 16 = 16 • 2^(2x)
Hence, since LHS = RHS, it follows that the expression is mathematically correct.
Read more on laws of exponents;
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Answer:
5.2 minutes for 4 costomers.
Step-by-step explanation:
12/9=1.333 (3 repeating)
1.3 x 4 = 5.2
Elijah will pass John after 5 hours, and they each will have traveled 310 miles. Then the correct option is C.
<h3>What is speed?</h3>
The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
John and Elijah are both driving from New York City to Richmond.
John leaves at 7:20 and averages 60 mph (miles per hour) on the way.
Elijah leaves at 7:30 and averages 62 mph on the way.
The situation is modeled by this system, where x is the number of hours after Elijah leaves and y is the distance each will travel.
y = 60x + 10 ...1
y = 62x ...2
The time is taken by Elijah to cross John will be
62x = 60x + 10
2x = 10
x = 5 hours
The distance traveled in 5 hours will be
y = 62 (5)
y = 310 miles
Elijah will pass John after 5 hours, and they each will have traveled 310 miles.
Then the correct option is C.
More about the speed link is given below.
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Answer:
115/24 =4.7916
Step-by-step explanation:
Based on information provided this is what I think is the answer