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Nimfa-mama [501]

3 years ago

6

Brian has a piece of string that is 9.54 inches long. He cuts it into 10 equal-size pieces. How long is each piece?

2 answers:

4vir4ik [10]3 years ago

8 0

The answer is b. 0.954

GarryVolchara [31]3 years ago

6 0

Answer:B: 0.954

Step-by-step explanation:

If you divide 9.54 and 10 you would get 0.954

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Without actual division prove that x4 +2x3 -2x2 +2x -3 is exactly divisible by<br> x2 +2x-3

Brut [27]

Answer:

Step-by-step explanation:

$\displaystyle\Large\boldsymbol{} x^4+2x^3-2x^2+2x-3= \\\\\\x^4+2x^2(x-1)+2x-\underbrace{2-1}_{-3}= \\\\\\x^4-1+2x^2(x-1)+2x-2 = \\\\\\(x^2-1)(x^2+1)+2x^2(x-1)+2(x-1) = \\\\\\\underline{(x-1)}(x+1)(x^2+1)+2x^2\underline{(x-1)} +2\underline{(x-1)} =\\\\\\(x-1)((x+1)(x^2+1)+2x^2+2)=\\\\\\(x-1)(x^3+x^2+2x^2+x+2+1)=\\\\\\(x-1)(x^3+3x^2+x+3) =\\\\\\(x-1)( \underline{(x+3)}x^2+\underline{(x+3)})=(x^2+1)\underbrace{(x-1)(x+3)}_{x^2+2x-3}= \\\\\\(x^2+1)(x^2+2x-3) : (x^2+2x-3)=x^2+1$

7 0

3 years ago

Using pemdas please

Bond [772]

$4^{3}+2(8)=80$

Solution:

Given expression:

$4^{3}+2(8)$

<u>Expansion of PEDMAS: </u>

Parenthesis, Exponents, Division, Multiplication, Addition, Subtraction.

To solve the given expression using pedmas rule.

First solve the expression with parenthesis.

$4^{3}+2(8)=4^{3}+16$

Next do the exponents.

$4^{3}+2(8)=64+16$

Finally do the addition.

$4^{3}+2(8)=80$

Hence the answer is 80.

6 0

3 years ago

Read 2 more answers

find the value of n in each equation. write what n represents in the related division problem 643=4×160+n

schepotkina [342]

Answer: n = 3; n represents a remainder in a division problem.

Explanation:

1) Finding n:

i) Given: 643 = 4 × 160 + n

ii) Do the operations: 643 = 640 + n

iii) Subraction property of the equality: 643 - 640 = n

iv) Do the operations: 3 = n

Answer: n 3

2) Meaning of n

When you divide 643 by 4 the quotient is 160 and the remainder is 3, because 160 × 4 = 640, and 643 - 640 = 3.

This is, 3 is what is left when you split 643 into 4 getting 160 whole parts (plus the remainder, 3).

3 0

3 years ago

The area of the regular pentagon is 6.9 cm2. What is the perimeter? 2 cm 5 cm 10 cm 20 cm

disa [49]

Given

Area of the regular pentagon is 6.9 cm².

Find out the perimeter of a regular pentagon

To proof

Formula

Area of regular pentagon is

$= \frac{1}{4}\sqrt{5(5+2\sqrt{5})}\ a^{2}$

As given in the question

area of regular pentagon = 6.9 cm²

now equating the area value with the area formula.

$6.9 =\frac{1}{4}\sqrt{5(5+2\sqrt{5})} a^{2}$

Now put

√5 = 2.24 ( approx)

put in the above equation

$\frac{6.9\times 4}{\sqrt{5(5+2\times2.24)}}=a^{2}\\\frac{27.6}{\sqrt{47.4}}=a^{2}\\\frac{27.6}{6.88}=a^{2}$

thus

a² = 4.01

a = √ 4.01

a = 2.0 cm ( approx)

As perimeter represented the sum of all sides.

i.e regular pentagon have five sides of equal length.

Thus

perimeter of the regular pentagon = 5 × side length

= 5 ×2.00

therefore the perimeter of the regular pentagon = 10cm

option c is correct

Hence proved

3 0

3 years ago

Read 2 more answers

the original cost of an item is $64 but u have to pay $78.08. what is the markup of the item (as percent)

8_murik_8 [283]

(new - original)/original = mark up

(78.08-64)/64= mark up

14.08/64 =mark up

.22 = mark up

multiply by 100 to get to a percent

mark up = 22 percent

8 0

4 years ago