Answer:
52√3 ft^2
Step-by-step explanation:
The area of a trapezoid is the average of the bases times the height
We have enough information to find these parts.
The average of the bases is 11+15 /2 =13
The height is 4√3
So the answer is 13 * 4√3 = 52√3
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Answer:
Step-by-step explanation:
diagram attached represents a function g(x).
Circle (1) (circle on the left) represents the set of domain (input values) and circle (2) represents the range (output values).
a). For input value x = 7, out put value of the function is y = 9.
Therefore, g(7) = 9 will be the answer.
b). Range of the function g(x) is the set of output values.
Range: {12, 9, 9, 17}
c). Inverse of the function g(x) will have,
Domain: {12, 9, 9, 17}
Range: {4, 7, 10, 15}
For input value of x = 9, there are two output values y = 7, 10.
Since, "a function can't have two output values for the same input value".
Therefore, inverse of the function g(x) will not represent a function.
Answer:
S = 9180°
Step-by-step explanation:
Given the following data;
Number of sides = 53
To find the sum of interior angles of a 53-gon;
Mathematically, the sum of the interior angles in a regular polygon is given by the formula;
S = 180(n - 2)
Where;
n is the number of sides.
S is the sum of the interior angles
Substituting into the formula, we have;
S = 180(53 - 2)
S = 180 * 51
S = 9180°
Answer:
x = - 4 , x = - 3
Step-by-step explanation:
- 7x = x^2 + 12
Take all terms to one side of equation.
x^2 + 7x + 12 = 0
Find which 2 numbers multiply to give 12 and add to give 7.
a × b = 12
a + b = 7
a = 4
b = 3
Split the middle term using these 2 numbers.
x^2 + 4x + 3x + 12 = 0
Factorise each pair of terms separately.
x ( x + 4 ) + 3 ( x + 4 ) = 0
Bring out common factor of ( x + 4 ) and factorise.
( x + 4 ) ( x + 3 ) = 0
Using the Null factor law, make the expressions in each pair of parentheses equal 0.
x + 4 = 0
x = - 4
AND
x + 3 = 0
x = - 3
THEREFORE:
x = - 4 , x = - 3
So this is using slope-intercept form (y=mx+b)
m is slope and b is the y-intercept
Looking at the graph, the line goes through the y-axis at (0,-5) so -5 is your y-intercept.
The slope of the line can be determine by using "rise over run". Find two points on the graph (I used 0,-5 and 1, -2). Count up from -5 to -2 (you get 3), count over from 0 to 1 (you get 1). Rise over run means that the slope equals 3.
Now, you just have to plug the numbers in.
Slope = 3; y-intercept = -5
y = 3x -5
The answer is A.) Y= 3x - 5
Hope this helps. Lmk if you need any more help :)
