All categories

2 years ago

What is the perimeter of the quadrilateral ABCD?

Mathematics

1 answer:

lara31 [8.8K]2 years ago

3 0

Answer:

triangle abd is isosceles triangle and triangle dbc is equilateral triangle.

opposite sides of equal angles are same. so, ad= bd

and bd is the side of equilateral triangle. so, bd=bc=dc

perimeter of quadrilateral = sum of all sides.

perimeter=11+8+8+8

perimeter =35

You might be interested in

<img src="https://tex.z-dn.net/?f=%20%5Cunderline%7B%20%5Ctext%7BQuestion%7D%7D%20%3A%20" id="TexFormula1" title=" \underline{ \

Oliga [24]

Answer:

Part A)

The height of the water level in the rectangular vessel is 2 centimeters.

Part B)

4000 cubic centimeters or 4 liters of water.

Step-by-step explanation:

We are given a cubical vessel that has side lengths of 10cm. The vessel is completely filled with water.

Therefore, the total volume of water in the cubical vessel is:

$V_{C}=(10)^3=1000\text{ cm}^3$

This volume is poured into a rectangular vessel that has a length of 25cm, breadth of 20cm, and a height of 10cm.

Therefore, if the water level is h centimeters, then the volume of the rectangular vessel is:

$V_R=h(25)(20)=500h\text{ cm}^3$

Since the cubical vessel has 1000 cubic centimeters of water, this means that when we pour the water from the cubical vessel into the rectangular vessel, the volume of the rectangular vessel will also be 1000 cubic centimeters. Hence:

$500h=1000$

Therefore:

$h=2$

So, the height of the water level in the rectangular vessel is 2 centimeters.

To find how how much more water is needed to completely fill the rectangular vessel, we can find the maximum volume of the rectangular vessel and then subtract the volume already in there (1000 cubic centimeters) from the maximum volume.

The maximum value of the rectangular vessel is given by :

$A_{R_M}=20(25)(10)=5000 \text{ cm}^3$

Since we already have 1000 cubic centimeters of water in the vessel, this means that in order to fill the rectangular vessel, we will need an additional:

$(5000-1000)\text{ cm}^3=4000\text{ cm}^3$

Sincer 1000 cubic centimeters is 1 liter, this means that we will need four more liters of water in order to fill the rectangular vessel.

3 0

3 years ago

Read 2 more answers

Solve: -4 < -2x < 10

Minchanka [31]

<h3>Answer: -5 < x < 2</h3>

Explanation:

The expression -2x means -2 times x. To undo this, we divide all parts of the inequality by -2. Dividing by a negative number will flip the inequality sign. We go from "less than" to "greater than"

-4 < -2x < 10

-4/(-2) > x > 10/(-2) .... inequality signs flip

2 > x > -5

-5 < x < 2

This unknown number x is between -5 and 2. It cannot equal -5. It cannot equal 2.

8 0

3 years ago

(this is 6 grade math) PLEASE HELP<br>

pochemuha

Answer
11a + 4a= 15a
3x + 6 +7x -4 = 12x
-12m -3 + 4m + 16 = 29m
6k-4+k-2 =4K
3+13-5p-2p =9p

I think these are the answers please don’t get mad if they are not hope I help :)

8 0

3 years ago

Read 2 more answers

The rational number lies between −67/7 and−78/8

zheka24 [161]

9514 1404 393

Answer:

-135/14

Step-by-step explanation:

There are an infinite number of rational numbers between any pair of numbers you name. These two number have the decimal values ...

-67/7 = -9 4/7 = -9.571428... (repeating)

-78/8 = -9 3/4 = -9.75

So, numbers like -9.6 = -48/5, or -9.7 = -97/10 are rational numbers that lie in the range you specified.

If you like, you can convert these numbers to ones with a common denominator (56).

-67/7 = -536/56

-78/8 = -546/56

These limits suggest several possible rational numbers with 56 as a denominator: -540/56 = -135/14, for example.

7 0

2 years ago

11. In a swimming race, Yvonne swam 0.18 mile.

marishachu [46]

Answer: D= 0.72

Step-by-step explanation: Because 0.18 times 4 is 0.72 miles.

5 0

3 years ago

Read 2 more answers