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3 years ago

What is the length of a rectangle with width 10 in. and area 85 in^(2)

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

5 0

Answer:

8.5 in

Step-by-step explanation:

Area of a rectangle = Length × Width

Area = 85

Width = 10

Hence the value of the length;

; 85 = 10 × Length

;then divide both sides by 10

Hence the length of the rectangle;

(85 ÷ 10) = Length

; Length = 8.5 in

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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

2 years ago

Read 2 more answers

13. Product A is an 8 oz. bottle of cough medication that sells for $1.36. Product B is a 16 oz. bottle of cough medication that

algol13

Price / weight = unit price
product A : 1.36 / 8 = 0.17 per oz
product B : 3.20 / 16 = 0.20 per oz

product A has the lower unit price

7 0

2 years ago

The spherical container has a radius of 21 cm. What is the approximate volume of the container? Use 3. 14 to approximate pi. Rou

Gemiola [76]

Volume of a figure is the measure of the space that figure occupies. The approximate volume of the specified container is 87.92 cm³

<h3>What is the volume of sphere?</h3>

If the given sphere is of radius r units, then its volume is given as:

$V= \dfrac{4}{3} \pi r^3 \: \rm unit^3$

For the given case, the radius of the sphere is given to be 21 cm, and the value of pi is instructed to be used as 3.14

Thus, we have the volume of container as:

$V = \dfrac{4}{3} \pi r^3 = \dfrac{4}{3} \times 3.14 \times 21 = 87.92 \: \rm cm^3{$

Thus,

The approximate volume of the specified container is 87.92 cm³

Learn more about volume of sphere here:

brainly.com/question/381274

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2 years ago

Estimate how much kaylynn earns in a week

ddd [48]

IDK becsupse idk so idk

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3 years ago

Solve for x <br><br> -7(1-8x)=105

Sunny_sXe [5.5K]

-7 + 56x = 105
56x = 105 + 7
56x = 112
x = 2

4 0

3 years ago