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alexandr402 [8]
3 years ago
14

A gardener wants to run a border around the outside of her garden. She plots it on a grid to plan how much she will need. The ga

rden is in the shape of a rectangle with vertices at (2, 5) (8, 5) (8, 3) and (2, 3). Find the total length of border needed. 12ft 16ft 24ft 100ft
Mathematics
2 answers:
sineoko [7]3 years ago
7 0

Answer:

16 feet

Step-by-step explanation:

Kamila [148]3 years ago
6 0
Answer: 16 ft

Explanation:

You can determine the lengths of each segment by subtracting the coordinates of the adjacent points.

1) From (2,5) to (8,5): 8 - 2 = 6

2) From (8,5) to (8,3): 5 - 3 = 2

3) From (8,3) to (2,3): 8 - 2 = 6 (as expected as this is congruent to the first

4) From (2,3) to (2,5): 5 - 3 = 2 (as expected as this is congruent to the second).

The total length of the border or perimeter is equal to the sum of all the sides:

perimeter = 6 + 2 + 6 + 2 = 16

Therefore the answer is 16 ft
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Find the slope of the line whose equation is 4y - 3x + 6 = 0. <br> A .-3/4 <br> B. -3/2 <br> C. 3/4
vlabodo [156]
The slope-intercept form is y=mx+b so this what you do.
4y - 3x + 6 = 0
Add 3x and subtract 6 to both sides.
4y = 3x - 6 
Divide the right side by 4.
y = 3/4x - 3/2
So the slope is 3/4.
I hope this helps love! :)
3 0
3 years ago
Read 2 more answers
PLZ HELP ASAP WILL MARK BRAINLIEST
RSB [31]

Answer:

72\sqrt{3}

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = \frac{1}{2} × d₁ × d₂ (d₁ and d₂ are the diagonals )

The diagonals bisect each other at right angles

d₁ = 2 × 6 = 12

Use the tangent ration in the upper left right triangle and the exact value

tan60° = \sqrt{3}

tan60° = \frac{opposite}{adjacent} = \frac{opp}{6} = \sqrt{3} ( multiply both sides by 6 )

opp = 6\sqrt{3} , then

d₂ = 2 × 6\sqrt{3} = 12\sqrt{3}

Thus

A = \frac{1}{2} × 12 × 12\sqrt{3} = 6 × 12\sqrt{3} = 72\sqrt{3}

3 0
3 years ago
1)) An angle measures 132° less than the measure of its supplementary angle. What is the
Alexeev081 [22]

Answer:

156° and 24°

Step-by-step explanation:

Let it's supplementary angle be x.

So, the angle = (x - 132)°

As we know, sum of supplementary angles is 180°;

x + x - 132 = 180

2x = 180 + 132

2x = 312

x = 312/2

x = 156°

(x-132)° = (156-132)° = 24°

Hence, the angles are 156° and 24°.

5 0
3 years ago
1 point
koban [17]

Answer:

She will be charged $180 once lets the account go past 6 months before making a payment.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

If she pays within 6 months, she is not charged any interest.

However, if after 6 months she has not paid the balance, she is charged 20% interest for this period.

Barbara financed a new bedroom set at the furniture store for $1,800.

This means that P = 1800

20 percent interest

This means that I = 0.2

How much interest will she be charged once she lets the account go past 6 months?

6 months is half a year, so this is E when T = 0.5

E = P*I*t

E = 1800*0.2*0.5

E = 180

She will be charged $180 once lets the account go past 6 months before making a payment.

3 0
3 years ago
The measure of an angle is 8 degrees less than three times the measure of the angle's supplement. Find the measure of the angle.
Liula [17]

Answer:

262

Step-by-step explanation:

3(90) - 8 = x

270-8 = x

262 = x

4 0
4 years ago
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