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3 years ago

A rectangular poster has an area of 504 square centimeters the width is 14 centimeters how long is the poster

Mathematics

2 answers:

hodyreva [135]3 years ago

8 0

36 centimeters, I am not for sure but I think this is correct

svlad2 [7]3 years ago

7 0

Answer:

The length of the poster is 36 centimeter.

Step-by-step explanation:

Given : A rectangular poster has an area of 504 square centimeters the width is 14 centimeters.

To find : How long is the poster ?

Solution :

The area of the rectangle is given by,

$\text{Area}=\text{Length}\times \text{Width}$

The area of the rectangle is 504 square centimeters.

The width of the rectangle is 14 centimeter.

Substitute the value in the formula,

$504=\text{Length}\times14$

$\text{Length}=\frac{504}{14}$

$\text{Length}=36$

Therefore, The length of the poster is 36 centimeter.

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What polynomial identity should be used to prove that 35 = 8 + 27

Julli [10]

Answer:

Sum of cubes identity should be used to prove 35 =3+27

Step-by-step explanation:

Prove that : 35 = 8 +27

Polynomial identities are just equations that are true, but identities are particularly useful for showing the relationship between two apparently unrelated expressions.

Sum of the cubes identity:

$a^3+b^3=(a+b)(a^2-ab+b^2)$

Take RHS

8+ 27

We can write 8 as $2 \times 2 \times 2 = 2^3$ and 27 as $3 \times 3 \times 3 = 3^3$ .

then;

8+27 = $2^3+3^3$

Now, use the sum of cubes identity;

here a =2 and b = 3

$2^3+3^3 = (2+3)(2^2-2\cdot 3+3^2)$

$2^3+3^3 = (5)(4-6+9)$ $= 5 \cdot 7 = 35$ = LHS proved!

therefore, the Sum of cubes polynomial identity should be used to prove that 35 = 8 +27

4 0

3 years ago

Read 2 more answers

A shopper bought a 12-pounds bag of orange for 18.72 what is the unit price per

Naddik [55]

I think the answer is $1.56

i hope this helps

8 0

3 years ago

An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.

andrey2020 [161]

Answer:

The probability that A selects the first red ball is 0.5833.

Step-by-step explanation:

Given : An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.

To find : What is the probability that A selects the first red ball?

Solution :

A wins if the first red ball is drawn 1st,3rd,5th or 7th.

A red ball drawn first, there are $E(1)= ^9C_2$ places in which the other 2 red balls can be placed.

A red ball drawn third, there are $E(3)= ^7C_2$ places in which the other 2 red balls can be placed.

A red ball drawn fifth, there are $E(5)= ^5C_2$ places in which the other 2 red balls can be placed.

A red ball drawn seventh, there are $E(7)= ^3C_2$ places in which the other 2 red balls can be placed.

The total number of total event is $S= ^{10}C_3$

The probability that A selects the first red ball is

$P(A \text{wins})=\frac{(^9C_2)+(^7C_2)+(^5C_2)+(^3C_2)}{^{10}C_3}$

$P(A \text{wins})=\frac{36+21+10+3}{120}$

$P(A \text{wins})=\frac{70}{120}$

$P(A \text{wins})=0.5833$

6 0

3 years ago

The length of one leg of an isosceles right triangle is 7 units. What is the length of the hypotenuse?

Westkost [7]

Given that the hypotenuse of the isosceles right triangle
=
14
,
⇒
the length of each leg
=
14
√
2
=
7
√
2
Check :
(
7
√
2
)
2
+
(
7
√
2
)
2
=
196
=
14
2
(OK)

5 0

3 years ago

Please Help Solve <br> 8 = 7/6 (b)

sukhopar [10]

B=48/7 you simplify 7/b(b) to 7b/6
Then multiply both sides by 6 so 8 x 6 =7b then simplify 8 x 6 =48
And divide both sides by 7 48\7 then switch sides b=48/7

4 0

3 years ago