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Solnce55 [7]
2 years ago
8

Tina is planning to fence in an area for her dog. She wants to create a rectangular area of 1,600 square feet for her pet and ca

n afford to purchase 160 feet of fence. In two or more complete sentences, explain the algebraic model, calculations and reasoning necessary to determine the dimensions of the rectangular area
Mathematics
1 answer:
natima [27]2 years ago
5 0

1 Area is 1600 =a*b2. Perimeter is 2(a+b)=160 ==>b=80-a
So,1600=a*b=a*(80-a)==>80a-a²=1600==> a²-80a+1600=0==> (a-40)²=0==>a=40 or a=-40 (to exclude since <0)==>b=1600/40=40The rectangle is a square of 40m of side.
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Q. Find the measure of QR
Vika [28.1K]

Answer: 22

Step-by-step explanation:

By the triangle midsegment theorem, QR=2(US)=2(11)=22.

7 0
2 years ago
If the area A of a triangle is 60sq m (square meters) and the base b is 20m (meters) what is the altitude of h
umka2103 [35]

Answer:

<u>The altitude or height of the triangle is 6 meters.</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Area of a triangle = 60 m²

Base = 20 m

2. What is the altitude (h) of the triangle?

Let's recall that the formula of the area of a triangle is:

Area = (Base * Height)/2

Replacing with the real values, we have:

60 = (20 * Height)/2

60 * 2 = (20 * Height) (Multiplying by 2 at both sides)

120 = 20 Height

Height = 120/20 = 6 meters

<u>The altitude or height of the triangle is 6 meters.</u>

8 0
3 years ago
How do I do this please help me I will give you thank even tho it’s not important Ahahah please help me
xxTIMURxx [149]

Answer:

(-2 , 5)

(-1 , 0)

(1 , -4)

(3 , 0)

(4 , -5)

Step-by-step explanation:

<u>First solve the equation:</u>

x² - 2x - 3

<em><u>Find two numbers with have a sum of -2 and a product of -3.</u></em>

-3 and 1

(x - 3)(x + 1)

Solve for x:

x - 3 = 0

x = 3

x + 1 = 0

x = -1

You know that the graph will cross the x-axis at -1 and 3.

(-1 , 0)

(3 , 0)

You know that the graph is positive.

<u>Complete the square to find the vertex</u>

x² - 2x - 3

(x - 1)² = x² - 2 + 1

x² - 2x - 3 = x² - 2 + 1 - 2 = (x - 1)² - 2

1 = 0

x = 1

Substitute into the original equation:

x² - 2x - 3 =

1² - (2 * 1) - 3 =

1 - 2 - 3 =

-4

(1 , -4)

<em><u>You can input any two numbers within -10 and 10. Such as -2 and 4.</u></em>

x² - 2x - 3 =

-2² - (2 * -2) - 3 =

4- -4- 3 =

5

(-2 , 5)

x² - 2x - 3 =

4² - (2 * 4) - 3 =

16 - 8 - 3 =

-5

(4 , -5)

4 0
3 years ago
What is the area of this figure?
umka21 [38]
137.5 I took the test and got 100% 


3 0
2 years ago
Read 2 more answers
A farmer wants to seed and fence a section of land. Fencing costs $27 per yard. Grass seed costs $2 per square foot. How much do
Lilit [14]

From.the calculated area and perimeter of the field, it will cost the farmer $475740 to fence and seed the pasture.

<h3>What is the area of the field?</h3>

The area of the field is calculated as follows:

Area of square = 450 ft × 450 ft = 202500 square feet

Area of triangle = (450 ft × 120 ft)/2 = 27000 square feet

Area of field = 229500 square feet

Cost of seeding the field = 229500 × $2 = $459000

Perimeter of the field = 450 + 450 + 450 + 255 + 255 = 1860 ft

1 ft = 1/3 yard

1860 ft = 1860 × 1/3 yards = 620 yards

Cost of fencing = 620 × $27 = $16740

Total cost of seeding and fencing = $475200

Therefore, it will cost the farmer $475740 to fence and seed the pasture.

Learn more about area and perimeter at: brainly.com/question/19819849

4 0
2 years ago
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