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3 years ago

19/3+[14/3 ÷{10-3(3+1/2-1/4)×1/3}]

Mathematics

1 answer:

natima [27]3 years ago

4 0

Answer:

= 3 11/20

Sorry I am not doing the step by step.

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In the figure, the ratio of the perimeter of rectangle ABDE to the perimeter of triangle BCD is . The area of polygon ABCDE is s

Gekata [30.6K]

Step 1

Find the perimeter of rectangle ABDE

we know that

the perimeter of rectangle is equal to

$P=2b+2h$

In this problem

$b=ED=2\ units$

$h=AE=6\ units$

substitute

$P=2*2+2*6=16\ units$

Step 2

Find the perimeter of triangle BCD

we know that

the perimeter of triangle is equal to

$P=BD+DC+BC$

In this problem we have

$BD=AE=6\ units$

$DC=BC$

Applying the Pythagoras theorem

$DC^{2}=4^{2}+3^{2}$

$DC^{2}=25$

$DC=5\ units$

substitute

$P=6+5+5=16\ units$

Find the ratio of the perimeter of rectangle ABDE to the perimeter of triangle BCD

we have

the perimeter of rectangle is equal to

$P=16\ units$

the perimeter of the triangle is

$P=16\ units$

the ratio is equal to

$\frac{16}{16} =1$

therefore

the answer Part 1) is the option B

$1$

Step 3

Find the area of polygon ABCDE

we know that

The area of polygon is equal to the sum of the area of rectangle plus the area of triangle

Area of rectangle is equal to

$A=AE*BD=6*2=12\ units^{2}$

Area of the triangle is equal to

$A=\frac{1}{2}AEh$

the height h of the triangle is equal to $4\ units$

substitute

$A=\frac{1}{2}(6)(4)=12\ units^{2}$

The area of polygon is

$12\ units^{2}+12\ units^{2}=24\ units^{2}$

therefore

the answer part 2) is the option C

$24\ units^{2}$

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4 years ago

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Whats the measure of the angles (SHOW YOUR WORK so I can understand)

evablogger [386]

Answer:

Angle DEB: 52

Angle ADB: 30

Angle CBE: 52

Angle BEC: 38

Step-by-step explanation:

Angle DEB = 52 because triangles' angles must add up to 180. Angle ADB is 30 because it is complementary to angle BDE. Angle CBE is 52 because angle BEC is complementary to BED which is 52 degrees to BEC is 38 degrees. since the angles add up to 180, and C is 90, CBE is 52. Finally, BEC is 38 because it is complementary to BED.

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Convert the decimal below to a fraction in simplest form. 0.386 And show work

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Step-by-step explanation:

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4. Is the relation shown in the table a function? Use the graph

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Answer:

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Find the area of the following rectangles. 6cm and 3 cm

valentinak56 [21]

the answer would be 18cm

length x width

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19/3+[14/3 ÷{10-3(3+1/2-1/4)×1/3}]​

19/3+[14/3 ÷{10-3(3+1/2-1/4)×1/3}]