A, F, and G.
The others have breaks in the range or don’t include all real numbers.
A regular trapezoid is shown in the picture attached.
We know that:
DC = minor base = 4
AB = major base = 7
AD = BC = lateral sides or legs = 5
Since the two legs have the same length, the trapezoid is isosceles and we can calculate AH by the formula:
AH = (AB - DC) ÷ 2
= (7 - 5) ÷ 2
= 2 ÷ 2
= 1
Now, we can apply the Pythagorean theorem in order to calculate DH:
DH = √(AD² - AH²)
= √(5² - 1²)
= √(25 - 1)
= √24
= 2√6
Last, we have all the information needed in order to calculate the area by the formula:

A = (7 + 5) × 2√6 ÷ 2
= 12√6
The area of the regular trapezoid is
12√6 square units.
The value of constant c for which the function k(x) is continuous is zero.
<h3>What is the limit of a function?</h3>
The limit of a function at a point k in its field is the value that the function approaches as its parameter approaches k.
To determine the value of constant c for which the function of k(x) is continuous, we take the limit of the parameter as follows:


Provided that:

Using l'Hospital's rule:

Therefore:

Hence; c = 0
Learn more about the limit of a function x here:
brainly.com/question/8131777
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Answer:
5 m
Step-by-step explanation:
A model car is made to a scale of 1:50 (model: real).
If the model has a length of 10 cm, calculate the length of the real car (answer in meters).
We have a scale of :
model: real = 1:50
The model has a length of 10cm
Hence:
1 cm = 50 cm
10 cm = x cm
Cross Multiply
x cm × 1cm = 10 cm × 50 cm
x cm = 10 cm × 50 cm/1cm
x cm = 500 cm
The length of the real car is 500cm
Converting the length of the real car to meters
100cm = 1 m
500 cm = x m
Cross Multiply
100cm × x m = 500 cm × 1 m
x m = 500 cm × 1 m/100 cm
x m = 5 m
The Length of the real car in meters is 5m