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Step2247 [10]
3 years ago
10

PLEASE HELPPPP!!!!!!!!!

Mathematics
1 answer:
charle [14.2K]3 years ago
6 0
Square because all rectangles are squares
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Are of quadrilateral
koban [17]

Answer:

Area of Quadrilateral = 289.57 sq.cm

Step-by-step explanation:

First of all, let us understand what is a Quadrilateral?

A quadrilateral is a polygon with four sides. A quadrilateral is a closed two-dimensional figure formed by joining the four points among which three points are non-collinear points.

Given,

Length of sides :

AB = 7.5 cm

BC = 11.7 cm

CD = 15.6 cm

AD = 18 cm

and given , the Angle between BCD is 90 degrees and the angle between BAD is 90 degrees.

It implies that the TRAINGLES BCD and BAD are Right angled triangles

So, the length of BD can be found using Pythagorean theorem

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

From the Triangle of BCD,

a= BC

b=CD and

c= BD

Therefore, The length of BD =

c=\sqrt[2]{(11.7^{2})+(15.6 x^{2}) }

c = \sqrt{380.25}

c = 19.5 cm

Hence, c= BD=19.5 cm

Now, Area of Quadrilateral =

1/2*(diagonal)*(sum of height of two triangles)

Here, Diagonal = Length of BD = 19.5 cm

Height (h1) = BC = 11.7 cm

Height ( h2) = AD = 18 cm

Therefore, Area = 1/2*19.5*(11.7+18)

                           = 289.57 sq.cm

Refer more about Area at below link:

https://brainly.in/question/2466686

#SPJ10

5 0
2 years ago
If a and b represent numbers, which of the following statements represents the commutative property of multiplication?
Gemiola [76]

The commutative property of multiplication states that the numbers can be multiplied in any order.

a+b = b+a : Commutative property of addition

a*b = b*a : Commutative property of multiplication

a+0=a : Additive identity property  

a*1 =a : Multiplicative identity property  

Answer : a*b =b*a


7 0
3 years ago
Read 2 more answers
Find the angle between the hands of a clock at 5:15<br><br> A 60<br> B 67.5<br> C 75
Viktor [21]

Answer:

Option B is correct.

67.5 degree

Step-by-step explanation:

To find the angle between the hands of a clock.

Given that:

Hands of a clock at 5 : 15.

We know that:

A clock is a circle and it always contains 360 degree.

Since, there are 60 minutes on a clock.

\frac{360^{\circ}}{60 minutes} = 6^{\circ} per minutes

so,  each minute is 6 degree.

The minutes hand on the clock will point at 15 minute,

then, its position on the clock is:

(15) \cdot 6^{\circ} = 90^{\circ}

Also, there are 12 hours on the clock

⇒Each hour is 30 degree.

Now, can calculate where the hour hand at 5:00 clock.

⇒5 \cdot 30 =150^{\circ}

Since, the hours hand is between 5 and 6 and we are looking for 5:15 then :

15 minutes is equal to \frac{1}{4} of an hour

⇒150+\frac{1}{4}(30) = 150+7.5 = 157.5^{\circ}

Then the angle between two hands of clock:

⇒\theta = 150.75 -90 = 67.5^{\circ}

Therefore, the angle between the hands of a clock at 5: 15 is: 67.5 degree.

4 0
3 years ago
Read 2 more answers
Pls give me the answer! Thanks!
Mademuasel [1]

Answer:

6

Step-by-step explanation:

7 x 6 = 42 + 9 = 51 + 54 = 105 + 75= 180

6 0
2 years ago
Read 2 more answers
How would you write x + y = 2, x + 2y = 3 as a word problem?
sveticcg [70]

Answer: x+y=

Step-by-step explanation:

you would just write it out step by step explaining wht u need to do to solve the question

7 0
2 years ago
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