What is the result of anding 255 and 15?

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

$P=16\ units$

so

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

$24\ units^{2}$

7 0

2 years ago

Read 2 more answers

Some steps to construct an angle MNT congruent to angle PQR are listed below. Step 3 is not listed: Step 1: Use a compass to dra

Shkiper50 [21]

Answer:

step 3: place the tip of the compass at point x and strike the arc at point y

Step-by-step explanation:

congruent triangles are triangles that have equal shape and size. They are the same in every way. this is the reason why they are called CONGRUENT

we have been asked to construct an angle MNT congruent to angle PQR. this means we are to construct angle that is the same as that at PQR.

with a ruler and a compass we can easily make a replica of the angle at PQR.

following the steps given in the question including step 3 that i have just added, the angle MNT will be the same as the angle PQR

8 0

2 years ago

The flagpole casts an 8 foot shadow as shown in the table at the same time the oak tree casts 12-foot shadow how tall is the oak

jolli1 [7]

How tall is the flagpole?

3 0

2 years ago

In a class, 4/5 of the students have mathematical instruments. 1/4 of these students have lost their protractors. What fraction

Novay_Z [31]

Answer:

$\frac{11}{20}$

Step-by-step explanation:

$\frac{4}{5} - \frac{1}{4}$ Subtract the students who don't have protractors from the students who have mathematical instruments.

$\frac{11}{20}$

6 0

2 years ago

Read 2 more answers

After a month of successful fundraising, Hansen and his classmates voted on whether to donate the money they had raised to hunge

VMariaS [17]

80%
Step-by-step explanation:
Votes: 24 were for hunger relief and 6 were for environmental causes. There were 24 + 6 = 30 votes in total.
Thus,
30 votes - 100%,
24 voyes - x%.
Mathematically, you can write a proportion:

6 0

1 year ago