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4 years ago

Which is one way to check 102 divided by 6 =17

Mathematics

2 answers:

Svetradugi [14.3K]4 years ago

8 0

6 multiplied by 17 is a way to check it

snow_lady [41]4 years ago

6 0

Multiply 6 and 17 and see if it equals 102

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()) A rectangular piece of paper has a perimeter of 22 inches and an area of 28 square

Natasha2012 [34]

Given:

Perimeter of a rectangular paper = 22 inches.

Area of the rectangular paper = 28 square inches.

To find:

The dimensions of the rectangular paper.

Solution:

Let l be the length and w be the width of the rectangular paper.

Perimeter of a rectangle is:

$P=2(l+w)$

Perimeter of a rectangular paper is 22 inches.

$2(l+w)=22$

$l+w=\dfrac{22}{2}$

$l=11-w$ ...(i)

Area of a rectangle is:

$A=lw$

Area of the rectangular paper is 28 square inches.

$28=lw$

Using (i), we get

$28=(11-w)w$

$28=11w-w^2$

$w^2-11w+28=0$

Splitting the middle term, we get

$w^2-7w-4w+28=0$

$w(w-7)-4(w-7)=0$

$(w-7)(w-4)=0$

Using zero product property, we get

$(w-7)=0\text{ and }(w-4)=0$

$w=7\text{ and }w=4$

If $w=7$ , then by using (i)

$l=11-7$

$l=4$

If $w=4$ , then by using (i)

$l=11-4$

$l=7$

Therefore, the dimensions of the paper are either $7\times 4$ or $4\times 7$ .

5 0

3 years ago

Find the quotient of the complex numbers. Leave answer in polar form.

Goryan [66]

$\bf \qquad \textit{division of two complex numbers}
\\\\
\cfrac{r_1[cos(\alpha)+isin(\alpha)]}{r_2[cos(\beta)+isin(\beta)]}\implies
 \cfrac{r_1}{r_2}[cos(\alpha - \beta)+isin(\alpha - \beta)]\\\\
-------------------------------$

$\bf \cfrac{z1}{z2}\implies \cfrac{\frac{1}{8}\left[cos\left(\frac{2\pi }{3} \right)+i~sin\left(\frac{2\pi }{3} \right) \right]}
{\frac{1}{3}\left[cos\left(\frac{\pi }{4} \right)+i~sin\left(\frac{\pi }{4} \right) \right]}
\\\\\\
\cfrac{\quad \frac{1}{8}\quad }{\frac{1}{3}}\left[cos\left(\frac{2\pi }{3}-\frac{\pi }{4} \right)+i~sin\left(\frac{2\pi }{3}-\frac{\pi }{4} \right) \right]
\\\\\\
\cfrac{3}{8}\left[cos\left(\frac{5\pi }{12} \right)+i~sin\left(\frac{5\pi }{12} \right) \right]$

4 0

3 years ago

You are at a home improvement store to purchase a freezer. There is currently a sale on appliances for 15% off. The freezer you

levacccp [35]

$682.11
749.99•15% or .15=112.50
So 749.99-112.50=$637.49 and
637.49 • 7% or .07= 44.62 and
44.62+637.49=$682.11

8 0

4 years ago

Can someone help me answer this?

andriy [413]

Answer:

m<S = 68 degrees.

m<D = 112 degrees

Step-by-step explanation:

Opposite angles of a parallelogram are equal so:

4x - 4 = 3x + 14

4x - 3x = 14 + 4

x = 18.

So m < S = 4(18) - 4

= 72-4

= 68 degrees.

Angles on the same side of a parallelogram are supplementary, so

m < D = 180 - 68

= 112 degrees.

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2 years ago

Corey uses exactly 50 yards of wire fence to create a triangular pen for his dog in his

Oliga [24]

16. 50-18=32
32/2=16

3 0

4 years ago