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3 years ago

The perimeter of (the distance around) ABCD is 66, and DC is twice as long as CB. How long is AB?

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

3 0

Answer:

$AB=22\ units$

Step-by-step explanation:

we know that

In this problem ABCD is a rectangle

DC=AB

BC=AD

Let

BC ---> the length of rectangle

DC ---> the width of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(BC+DC)$

we have

$P=66\ units$

$66=2(BC+DC)$

simplify

$33=BC+DC$ ----> equation A

$DC=2BC$ ----> equation B

substitute equation B in equation A

$33=BC+2BC$

Solve for BC

Combine like terms

$33=3BC$

Divide by 3 both sides

$BC=11\ units$

Find the value of DC

$DC=2BC$ ----> $DC=2(11)=22\ units$

Remember that

DC=AB

therefore

$AB=22\ units$

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What should be added to twice a rational Number -7/3to get 3/7

saul85 [17]

Answer:

107/21

Step-by-step explanation:

re - phrase the question algebraically:

-14/3 + y = 3/7

LCM of 3 and 7 = 21

-98/21 + y = 9/21

what should be added to -98 to make 9?

answer: 107

therefore answer: 107/21

Hope this helps.

Good Luck

3 0

4 years ago

A large bowl contains 10 small balls and each ball has a color and a number. The 10 balls are denoted by B1, B2, B3, B4, R1, R2,

nasty-shy [4]

Answer:

Size of N(S) = 90, or S=90

Step-by-step explanation:

So since there are 10 items:

Each single item has 9 possibilities to be paired with, since it is drawn without replacement, and 1 item can't be drawn again.

So : 10 items x 9 possibilites = array of 90

SO ANSWER : 90

Hope I helped :)

4 0

3 years ago

A 51 foot piece of wire is cut into 3 sections so that the first section is three times as long as the second section and the se

kirill [66]

Answer:

The length of the longest section x = 36 ft

Step-by-step explanation:

Total length of the wire = 51 ft

Let first section of wire = x

Second section of wire = y

Third section of wire = z

According to given data

x = 3 y & y = 4 z

Total length of the wire = x + y + z = 51

$y + 3 y + \frac{y}{4} = 51$

$\frac{17}{4} y = 51$

y = 12

x = 3 × 12 = 36

$z = \frac{y}{4} = \frac{12}{4} = 3$

Therefore the length of the longest section x = 36 ft

8 0

3 years ago

Read 2 more answers

X - (6.9) = 42.8 x = 42.8 +

Harman [31]

I hope this helps you

x=42.8+6.9

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3 years ago

Read 2 more answers

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saul85 [17]

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3 years ago