All categories

2 years ago

A parallelogram is shown below:

Mathematics

2 answers:

lana66690 [7]2 years ago

7 0

Answer:

a). Area of the parallelogram = 8 cm²

b). Area of both the triangles = 4 cm²

Step-by-step explanation:

a). Area of the given parallelogram ABCD = Base × Height

= DC × (Vertical distance between

AB and DC)

= 9 × $\frac{8}{9}$

= 8 ft²

b). If we decompose this parallelogram into two triangles ΔABC and ADC by a diagonal AC,

Area of both the triangles will be equal.

(Since, diagonal of a parallelogram divides the parallelogram into two equal triangles)

Therefore, area of ΔABC = Area of ΔADC = 4 ft²

Mumz [18]2 years ago

7 0

Answer:

Answer:

a). Area of the parallelogram = 8 cm²

b). Area of both the triangles = 4 cm²

Step-by-step explanation:

a). Area of the given parallelogram ABCD = Base × Height

= DC × (Vertical distance between

AB and DC)

= 9 ×

= 8 ft²

b). If we decompose this parallelogram into two triangles ΔABC and ADC by a diagonal AC,

Area of both the triangles will be equal.

(Since, diagonal of a parallelogram divides the parallelogram into two equal triangles)

Therefore, area of ΔABC = Area of ΔADC = 4 ft²

Step-by-step explanation:

You might be interested in

A painter is placing a ladder to reach the third story window, which is 12 feet above the ground and makes an angle of 80 degree

mash [69]

We know that
tan ∅=opposite side angle ∅/adjacent side angle ∅
adjacent side angle ∅=opposite side angle/tan ∅

in this problem
see the attached figure to better understand the problem
angle ∅=80°
opposite side angle ∅=12 ft (AB)
adjacent side angle ∅=? (AC)
adjacent side angle ∅=12/tan 80°------> 2.12 ft

the answer is
2.12 ft

3 0

3 years ago

Suppose that the following group of values has been entered into the TVM

Mila [183]

Answer:

The answer on A P E X is bal(132)

5 0

2 years ago

A new game system was priced at $500 when it was introduced to the market. Over the

muminat

Answer:

FV= $436.72

Step-by-step explanation:

Giving the following information:

Initial cost (PV)= $500

Decrease rate (d)= 7% per year

Number of periods (n)= 2 years

<u>To calculate the future value after 2 years, we need to use the following formula:</u>

FV= PV / (1 + d)^n

FV= 500 / (1.07^2)

FV= $436.72

8 0

2 years ago

Maria and Katy have string Maria's is 6 cm longer that Katy's. When they put both of the strings together the total is 84 How lo

butalik [34]

Answer:

Maria's string is 45 cm long and Katy's string is 39 cm long

Step-by-step explanation:

Let's call the size of Maria's string X, and the size of Katy's string Y.

So, using the information from the problem, we can formulate a system of equations:

If Maria's string is 6 cm longer than Katy's, so:

X = Y + 6

If the strings together have 84 cm, so:

X + Y = 84

The first equation can be rewritten as X - Y = 6

Summing up both equation, we have that:

2X = 90

X = 45

Using X value in the first equation, we have that:

45 = Y + 6

Y = 39

So, Maria's string is 45 cm long and Katy's string is 39 cm long

7 0

3 years ago

What is the value of n in this equation 1/2(n-4)-3=3-(2n+3)?

alexdok [17]

Answer:

n = 2

Step-by-step explanation:

Given

$\frac{1}{2}$ (n - 4) - 3 = 3 - (2n + 3)

Multiply through by 2 to clear the fraction

n - 4 - 6 = 6 - 2(2n + 3) ← distribute

n - 10 = 6 - 4n - 6 ( add 4n to both sides )

5n - 10 = 0 ( add 10 to both sides )

5n = 10 ( divide both sides by 5 )

n = 2

6 0

3 years ago