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3 years ago

What is the area of the trapezoid?

Mathematics

2 answers:

Setler [38]3 years ago

8 0

Your answer is b: 24

Artemon [7]3 years ago

8 0

Answer: The correct option is (B) 24 square units.

Step-by-step explanation: We are given to find the area of the trapezium in the figure.

The AREA of a TRAPEZIUM with lengths of parallel sides as 'a' and 'b' units and height 'h' units is given by the formula:

$A=\dfrac{1}{2}(a+b)h.$

In the given trapezium, we have

lengths of the parallel sides are

a = 4 units and b = 8 units,

and height, h = 4 units.

Therefore, the area of the given trapezium is

$A\\\\\\=\dfrac{1}{2}(a+b)h\\\\\\=\dfrac{1}{2}\times(4+8)\times 4\\\\\\=12\times 2\\\\=24~\textup{sq. units.}$

Thus, the area of the trapezium is 24 square units.

Option (B) is correct.

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The sum of four consecutive whole numbers is 54, what are the four numbers

anastassius [24]

Let the four consecutive numbers be x, x+1, x+2, and x+3.

The sum of the four numbers is 54, therefore
x + (x+1) + (x+2) + (x+3) = 54
4x + 6 = 54
4x = 54 - 6 = 48
x = 12

Answer:
The four numbers are 12, 13, 14, and 15

7 0

3 years ago

Can anyone one help me with this question

n200080 [17]

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5 0

3 years ago

Identify the domain of the graph given. *Don't forget the parenthesis or brackets*

anzhelika [568]

Answer:

(-4,3)

Step-by-step explanation:

The domain of a function is all of its possible x-values. In this graph, there is a y-value for every x-value between -4 and 3 except -4 and 3, because there are open dots at those points. Therefore, the domain is (-4,3). Use parenthesis because the function is not defined at x=-4 or x=3.

5 0

3 years ago

Which statements are true about David's work? Check all that apply. The GCF of the coefficients is correct. The GCF of the varia

Anon25 [30]

Answer:

The GCF of the coefficients is correct.

The variable c is not common to all terms, so a power of c should not have been factored out.

In step 6, David applied the distributive property.

Step-by-step explanation:

Given the polynomial :

80b⁴ – 32b²c³ + 48b⁴c

The Greatest Common Factor (GCF) of the coefficients:

80, 32, 48

Factors of :

80 : 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80

32 : 1, 2, 4, 8, 16, and 32

48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

GCF = 16

b⁴, b², b⁴

b⁴ = b * b * b * b

b² = b * b

b⁴ = b * b * b * b

GCF = b*b = b²

GCF of c³ and c

c³ = c * c * c

c = c

GCF = c

We can see that David's GCF of the coefficients are all correct

From the polynomial ; 80b⁴ does not contain c ; so factoring out c is incorrect

In step 6 ; the distributive property was used to obtain ; 16b²c(5b² – 2c² + 3b²)

6 0

2 years ago

Read 2 more answers

Factor 125x^3-1000. Show your work.

Salsk061 [2.6K]

The left term is (5x)³.

The right term is 10³.

So, you can use the formula for the factorization of the difference of cubes.

... a³ - b³ = (a-b)(a² +ab +b²)

Here, you have a=5x, b=10, so the factorization is

... 125x³ -1000 = (5x-10)(25x² +50x +100)

4 0

2 years ago