Answer:
45.5 sq. feet
Step-by-step explanation:
Area of trapezoid is given by 1/2(sum of parallel sides) * height of trapezoid.
In the problem
Parallel sides are bottom and top sides with length of 8.5 feet and 5.5 feet
Thus sum of Parallel sides = 8.5 feet + 5.5 feet = 14 feet
Height = 6.5 feet.
Thus,
area of trapezoid = 1/2*(14)* 6.5 feet = 7*6.5 feet = 45.5 sq. feet
The area of the trapezoid is whose sides are 8.5 feet and 5.5 feet with a height of 6.5 feet is 45.5 feet squared.
A trapezoid is a quadrilateral with parallel opposite sides and a height.
Mathematically, the area of a trapezoid can be calculated by using the expression:
where:
Learn more about calculating the area of a trapezoid here:
#SPJ2
Therefore, the value of x is -4 if A= B and AB= 3x-5 BC= 5x-6 and AC = 2x-9.
An equation is a mathematical statement that shows the equality of two expressions. It is composed of two sides, separated by an equals sign (=), indicating that the two sides are equivalent in value. An equation may contain variables, which are unknown values represented by letters, as well as constants, which are known values. Equations are used in many areas of mathematics and science to model and solve problems. For example, the equation y = mx + b is a linear equation that describes the relationship between the variables x and y in a straight line, where m is the slope of the line and b is the y-intercept. Equations can be solved by manipulating the variables and using mathematical operations to isolate the unknown value.
Here,
Since A = B, we know that AB = B². So, we can rewrite the equation AB = 3x - 5 as B² = 3x - 5.
Similarly, we can rewrite BC = 5x - 6 as B² = 5x - 6, and AC = 2x - 9 as A² - B² = (2x - 9) - (B^2).
Since we know that A = B, we can substitute B for A in the last equation to get:
B² - B² = (2x - 9) - (B²)
Simplifying this equation, we get:
0 = 2x - 9 - B²
Now we can substitute the equation B² = 3x - 5 into the above equation to get:
0 = 2x - 9 - (3x - 5)
Simplifying this equation, we get:
0 = -x - 4
Solving for x, we get:
x = -4
To know more about equation,
#SPJ1
Answer:
3xy and -7xy, 2x and 4x
Step-by-step explanation:
3xy and -7xy these are the only 2 like terms in this expression
Answer:
1/8th chance
Step-by-step explanation:
two outcomes per toss, H and T, so 1/2 probability of getting tails
0.5*0.5*0.5 = 1/8th chance
Answer:
Take the number shown and divided by 5000
Step-by-step explanation:
Answer:
a) is correct
b) 0.3768
c) 0.5246
Step-by-step explanation:
b)
456 + 1428 = 1884
1884 ÷ 5000 = 0.3768
c)
739 + 456 + 1428 = 2623
2623 ÷ 5000 = 0.5246