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netineya [11]
2 years ago
7

The design shown contains kite ABCD. Which statement is true?

Mathematics
2 answers:
kozerog [31]2 years ago
5 0
Area of ABCD = 10 * 30 + 10 * 10 = 300 + 100 = 400
Area of DBGH = 20 * 30 = 600
Area of DBFC = 1/2(30 * 30) + (10 * 30) + 1/2(10 * 30) = 450 + 300 + 150 = 900
Area of CEBF = 1/2(30 * 30) + (10 * 30) = 450 + 300 = 750

THerefore, option C isthe correct answer.
sveta [45]2 years ago
3 0

Answer:

Step-by-step explanation:

Alright, lets get started.

Area of ABCD :

Area of ABCD =area of ABD + area of BCD

Area of ABCD = (\frac{1}{2}*20*10) +(\frac{1}{2}*20*30)

Area of ABCD =  400

Area of DBGH  :

Area of DBGH = 20*30 = 600

Area of DBFC :

Area of DBFC = area of DBC + area of BCF

Area of DBFC = (\frac{1}{2}*20*30)+(\frac{1}{2}*30*40) = 300+600

Area of DBFC = 900

Area of CEBF :

Area of CEBF = area of CEBG + area of BGF

Area of CEBF = 300+(\frac{1}{2}*30*30) = 300+450

Area of CEBF = 750

hence option C is correct : area of DBFC = 900    :   Answer

Hope it will help :)

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An aquarium with a square base has no top. There is a metal frame. Glass costs 5 dollars/m2 and the frame costs 2 dollars/m. The
adell [148]

Answer:

C = 420/h + 400

Step-by-step explanation:

Let s be the side of the square base.

Let h be the height

Volume = s*h

20 = s*h

s = 20/h

Cost of glass is

5(20/h) + 5(4* h*20/h)

= 100/h + 400

Cost of frame is

2*4(20/h) + 2*4(20/h)

= 160/h + 160/h

= 320/h

Total cost = C

C = cost of glass + cost of frame

C = 100/h + 400 + 320/h

C = 420/h + 400

3 0
2 years ago
Suppose you have 20 coins that total $3.00. Some coins are nickels and some are quarters. Which of the following pairs of equati
shusha [124]

Answer: D. n + q = 20

5n + 25q = 300

Step-by-step explanation:

Let n represent the number of nickels that you have.

Let q represent the number of quarters that you have.

Suppose you have 20 coins. It means that

n + q = 20

The total value of the coins is $3. The value of a quarter is $0.25 and the value if a nickel is $0.05. Therefore, the equation would be

0.05n + 0.25q = 3

Multiplying both sides of the equation by 100, it becomes

5n + 25q = 300

The correct option is

D. n + q = 20

5n + 25q = 300

6 0
1 year ago
A parallelogram has a length of 6 centimeters and a width of 4.5 centimeters. This parallelogram is dilated by a scale factor of
Arada [10]
Scale factor is given by:
(length of larger figure)/(length of smaller figure)=(width of larger figure)/(width of the smaller figure)=3.4
The length of the larger figure will be given by:
length=(scale factor)*(length of smaller figure)
=3.4*6=20.4 cm
width of the larger figure will be given by:
width=(scale factor)*(width of smaller figure)
=3.4*4.5
=15.3 cm
Therefore the dimension of the new parallelogram will be 20.4 cm by 15.3 cm
 
3 0
2 years ago
Ian has 20 football cards, and Jason has 44 baseball cards. They agree to trade such that jason
Alina [70]

Answer:

12 trades

Step-by-step explanation:

Let's call 'x' the number of trades they will do.

After each trade, the number of cards Ian has increase by 1 (he gives 1 but receives 2), and the number of cards Jason has decrease by 1 (he receives 1 but gives 2), so after x trades, the number of cards Ian has is 20 + x, and Jason has 44 - x.

To find the number of trades when they will have the same amount of cards, we have that:

20 + x = 44 - x

2x = 24

x = 12 trades

8 0
2 years ago
Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60percent of their plants are
DaniilM [7]

Answer:

There are 20 vegetable plants in garden.

Step-by-step explanation:

We are given the following in the question:

Percentage of flowers = 60%

Percentage of vegetable = 40%

Number of plants in garden = 50

Number of vegetables in garden =

40\% \times \text{Number of plant}\\\\= \dfrac{40}{100}\times 50\\\\= 20

Number of flowers in garden =

60\% \times \text{Number of plant}\\\\= \dfrac{60}{100}\times 50\\\\= 30

Thus, there are 20 vegetable plants in garden.

6 0
2 years ago
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