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2 years ago

9

Sarah planted two1 acre gardens one had three sections of flowers and the other had 4 sections of flowers she plans to divide bo

th garden into more sections so that they have the same number of equal sized section how many sections will each garden have

2 answers:

EastWind [94]2 years ago

8 0

Each garden will have 12 sections of flowers

sertanlavr [38]2 years ago

3 0

Answer:I AGREE

Step-by-step explanation:

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A rectangle has a perimeter of 18 inches. a new rectangle is formed by doubling the with W in tripling the length L as shown the

vladimir1956 [14]

a) The dimensions of original rectangle are length= 5 and width= 4.

b) The dimensions of new rectangle are length= 15 and width=8.

<u>Step-by-step explanation</u>:

length of a rectangle = l
width of a rectangle = w
Perimeter of a rectangle = 2(l+w)

<u>Original rectangle</u> :

18 = 2(l+w)

18 = 2l + 2w ---------(1)

<u>New rectangle</u> :

46 = 2(3l+2w)

46 = 6l + 4w ---------(2)

<u>Solving the equations</u> :

Multiply (1) by 2 and subtract (2) from (1)

4l + 4w = 36

-(<u>6l + 4w = 46</u>)

<u>-2l = -10</u>

l = 10/2

length = 5 inches.

Substitute l=5 in (1)

18 = 2(5)+2w

18 = 10+2w

2w = 8

w = 8/2

width = 4 inches.

length of new rectangle = 3(l) = 3 $\times$ 5 = 15 inches.

width of new rectangle = 2(w) = 2 $\times$ 4 = 8 inches.

8 0

1 year ago

A person invests 9500 dollars in a bank. The bank pays 5.75% interest compounded quarterly. To the nearest tenth of a year, how

sweet [91]

Answer:

4.9 years

Step-by-step explanation:

Future value is the sum of amount invested and its compounded interest for a specific period of time and on a specific interest rate.

Investment = Present value = $9,500

Future value = $12,600

To find the numbers of years we will use following formula

Future value = Present value x ( 1 + r )^n

r = interest rate = 5.75%

n = number of periods = ?

Placing values in the formula

$12,600 = $9,500 x ( 1 + 5.75%/4 )^n

$12,600 / $9,500 = 1.014375^n

1.3263 = 1.014375^n

Log 1.3263 = n log 1.014375

n = Log 1.3263 / log 1.014375

n = 19.7856 Quarters

n = 4.9 years

6 0

2 years ago

Given: WXYZ is a parallelogram, ZX ≅ WY

Mrrafil [7]

Answer:

Step-by-step explanation:

Given: WXYZ is a parallelogram, ZX ≅ WY

Prove: WXYZ is a rectangle

Proof:

Step 1. WXYZ is a parallelogram and ZX ≅ WY (Given)

Step 2. ZY ≅ WX (Opposite sides of parallelogram are congruent)

Step 3. YX ≅ YX (Reflexive Property)

Step 4. Consider △ZYX and △WXY, we have

ZX ≅ WY (Given)

ZY ≅ WX (Opposite sides of parallelogram are congruent)

YX ≅ YX (Reflexive Property)

Thus, by SSS rule, △ZYX ≅ △WXY

Step 5. By CPCTC, ∠ZYX ≅ ∠WXY

Step 6. m∠ZYX ≅ m∠WXY (Definition of congruency)

Step 7. m∠ZYX + m∠WXY = 180° ( consecutive ∠s in a parallelogram are supplementary)

Step 8. m∠ZYX + m∠ZYX = 180° (Substitution)

Step 9. 2(m∠ZYX) = 180° (Simplification)

Step 10. m∠ZYX = 90° (Dividing property of equality)

Step 11. WXYZ is a rectangle (Rectangle angle theorem)

Hence proved.

5 0

1 year ago

What is the constant of the polynomial 2x3 - 8x2 + 3x - 7

Firlakuza [10]

Answer:

-7

Step-by-step explanation:

A constant number is a number that contains no variables like x and y. The only constant in that problem is -7.

8 0

1 year ago

Some of the steps in the derivation of the quadratic formula are shown. Step 4: Step 5: Step 6: Step 7: Which best explains why

Otrada [13]

Answer:

The square root of terms separated by addition and subtraction cannot be calculated individually.

Step-by-step explanation:

In order to calculate the square root, we would need a monomial or a factored expression. We do not have that, so we cannot take the square root.

6 0

1 year ago

Read 2 more answers