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yKpoI14uk [10]
4 years ago
9

Square $BCFE$ is inscribed in right triangle $AGD$, as shown below. If $AB = 28$ units and $CD = 58$ units, what is the area of

square $BCFE$?

Mathematics
1 answer:
In-s [12.5K]4 years ago
8 0

Answer:

1624 units²

Step-by-step explanation:

See attachment for the figure

As, ∠EAB  = ∠CFD

and ∠ABE  = ∠FCD

We can say that by AA congruency,  ΔCFD  is similar to ΔBAE

Therefore, BA / EB = CF / DC      

BA x DC   =  EB x CF    (since EB = CF )

 

BA x DC =  EB²

28 x 58  = EB²   =>  area of square BCFE

area of square BCFE = 1624 units²

Therefore, the area of square BCFE is 1624 units²

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Dahasolnce [82]
1/5 is equal to the 20% of the trip and that took 45 minutes.
45minutes/20% of traveled distance = X minutes/ 100% travel distance
2.25 * 100= X
225= X
So if for the 1/5 or 20% of the trip lasted 3/4hour or 45 minutes. To complete the  trop you need 225 minutes or  3 hours and 45 minutes or 3 3/4 hours.
4 0
3 years ago
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Suppose that 16 inches of wire cost 80 cents.
Karolina [17]

Answer:

11 inches

Step-by-step explanation:

you can cross multiply

inches cents

16 80

x 55

16×55 = 80x

80x= 880

x= 880/80

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3 years ago
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Please help with question number 3, please
Nadusha1986 [10]

The ratio is 9 : 7 which means for every 9 pounds of Quartz you have 7 pounds Marble. For the second row Quartz is 72. For the third row it's 11 bags because 99/9 = 11 and 11 times 7 equals 77. The four one is 126 pounds Quartz. Finally the last one is 15 bags and 15 times 7 is 75 pounds of Marble. What you do with the ratio is multiply by the number of bags to figure out with this many bags how many Quartz or Marble. You can do the same thing to figure out how many bags.

6 0
3 years ago
A random sample of 121 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the
pychu [463]

Answer:

Standard error of the mean parameter the average content of colognes

                                S.E = 0.02 ounces                            

Step-by-step explanation:

<u><em>Explanation</em></u><em>:-</em>

<em>Size of random sample 'n' = 121 bottles</em>

<em>mean of the sample </em>x^{-} = 4 ounces

<em>Standard deviation of Population</em>

<em>                       σ = 0.22</em>

<em>Standard error of the mean parameter the average content of colognes</em>

<em>                              </em>S.E = \frac{S.D}{\sqrt{n} }<em></em>

<em>                              </em>S.E = \frac{S.D}{\sqrt{n} } = \frac{0.22}{\sqrt{121} }<em></em>

                             S.E = 0.02

<u><em>Final answer:-</em></u>

<em> Standard error of the mean parameter the average content of colognes</em>

<em>                S.E = 0.02 ounces                            </em>

<em></em>

5 0
3 years ago
A circle has an 18-inch radius and a shaded sector with a central angle of 50°. Determine the area of the shaded sector.
Makovka662 [10]

Answer:

Area of shaded region is 141.3 square inches

Step-by-step explanation:

It is given that,

A circle has an 18-inch radius and a shaded sector with a central angle of 50°

Area of circle = πr²

<u>To find the area of circle</u>

Area of circle = πr² = 3.14*18²  = 3.14 * 18 * 18

Area =  1017.36 square inches

<u>To find the part of shaded region</u>

central angle of shaded region is 50°.

part of sector = 50/360 = 5/36

<u>To find the area of shaded region</u>

area of shaded region is 5/36th of total area of circle

Area of shaded region = 5/36(1017.36) = 141.3 square inches

3 0
3 years ago
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