2. A wooded area is in the shape of a a trapezoid whose bases measure 128 m and $2 m and its height is 40 m. A 4 m wide walkway is constructed which runs perpendicular from the two bases. Calculate the area of the wooded area after the addition of the watkway

Answers

Answer 1

Correction in the Question:

A wooded area is in the shape of a a trapezoid whose bases measure 128 m and 92 m and its height is 40 m. A 4 m wide walkway is constructed which runs perpendicular from the two bases. Calculate the area of the wooded area after the addition of the walkway.

Answer:

The wooded area after the addition of the walkway is 4240 [tex]m^2[/tex].

Step-by-step explanation:

we are given

length of the two bases = 128m and 92m

height of the trapezoid = 40m

the approximate figure of the given trapezoid is given as:

             __ __ __ 92 __ __ _

          /  |               |  |                 \

       /     | 40         |4|                    \

    /__ _| __ __     |  |__ __ __ __ \

                           128

Area of a trapezoid = [(a + b)/2] * height, where a and b are representing the bases of the given trapezoid.

Area = [(92 + 128)/2] * 40

        = [220/2] * 40  

        = 110 * 40

        = 4400 [tex]m^2[/tex]

Now there is a 4m wide walkway is to be constructed in that trapezoid. The pathway will be a rectangle as it has 4m width and 40m height as it is perpendicular to both the bases.  

Area of a rectangle = length * width

Area = 40 * 4

        = 160

Since the walkway will reduce the area of the trapezoid as it is constructed upon it therefore the wooded area after the addition of the walkway is

4400 + (-160) = 4240 [tex]m^2[/tex].


Related Questions

If your grandmother had a cousin what would she be to you??

Answers

Answer:

Wouldn't he be like a second cousin or something?

Step-by-step explanation:

Answer:

I think she would be your second cousin.

Step-by-step explanation:

Hope this helps!!

Please mark this answer as Brainiest!!

The number of songs Oliver has downloaded this year, divided by 12, is equal to 24. What is an equation that represents this situation, and how many songs has Oliver downloaded?
A. 12d = 12: d = 1 song downloaded
B. 12d = 24: d = 2 songs downloaded
C. d12 = 24: d = 288 songs downloaded
D. b12 = 12: d = 144 songs downloaded

Answers

Answer:

c

Step-by-step explanation:

24×12=288 songs downloaded

this is because you have to do opposite operations according to one of the operations of math

An equation that represents the given situation is d/12 =24, and the number of songs Oliver has downloaded is 288. So, option C is the correct answer.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, the number of songs Oliver has downloaded this year, divided by 12, is equal to 24.

Let the number of songs downloaded be d.

So, the equation is d/12 =24

d=288

The equation to represent the scenario is d/12 =24. Therefore, option C is the correct answer.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

What’s 6 x 5 * divide* 10? I need answers plz

Answers

Answer:

It is 3

Step-by-step explanation:

6*5= 30

30/10= 3

Mark me Brainliest?

Which method would be the most efficient way to solve the method : substitution method, Eliminating method or equal value 3x+y=1 4x+y=2

Answers

Answer:

Eliminating method

Step-by-step explanation:

For the given situation i.e.

3x + y = 1

And,

4x + y = 2

Here we use the elimination to determine the value of x and y

So,

3x + y = 1

4x + y = 2

-    -      -

-x = -1

x = 1

Now put the value of x in any of the above equation

So,

3 + y = 1

y = -2

GIVING BRAINLIEST!!!!!!

In which step does a mistake first occur? (24+3+10)-14+2
Step1: (8+10)-14+2
Step 2: 18-14+2
Step3: 4+2
Step 4: 2

Answers

A mistake first occurs in step 1. (24+3+10) is not equal to (8+10). It is equal to (27+10).

Find the slope of the line.
Will give brainiest if correct.

Answers

Answer:

1,2

Step-by-step explanation:

Answer:

The slope of the line is (2)

Step-by-step explanation:

Good luck ^_^

Mihn invested $1,479.81 last year. What is the place value of the 8 in 1,479.81?

thousands
tens
tenths
thousandths

Answers

It’s the tenths
Hope it’s right
I think the answer is tenth and the reason why is because

I need help can someone help me pls

Answers

Answer:

D: 25 miles

Step-by-step explanation:

Pythagorean Theorem:

[tex]a^{2} + b^2 = c^2[/tex]

36^2 + b^2  =  39^2

1,296 + b^2  =  1,521

b^2  =  225

b  =  25

attach a link if needed<3

Answers

Juice: Different

Burritos: Same

Soup: Same

Peanut Butter: Different

Use the scatter plot of car resale values to answer the following question.
A graph titled Car Resale Values has age of car on the x-axis, from 0 to 10 in increments of 2, and percentage of sticker price on the y-axis, for 0 to 100. A line of best fit goes through points (2, 80) and (9, 20).
What can you say about the correlation between the age of a car and its resale value?
a.
The trend line slopes downward from upper left to lower right, so there is a negative correlation between a car’s age and its resale value.
b.
The trend line slopes downward from upper left to lower right, so there is a positive correlation between a car’s age and its resale value.
c.
The trend line slopes upward from lower right to upper left, so there is a positive correlation between a car’s age and its resale value.
d.
There is no correlation between a car’s age and its resale value.



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

taking the practice assignment

Please help me with the right Awnser

Answers

Answer:

40 m2

Step-by-step explanation:

96m² is your Answer:

Solution given:

base[b]=12m

height[h]=8m

we have

Area of parallelogram=b×h=12×8=96m²

GUYS ANYONE HERE I REALLY NEED HELP PLS! Find the area of the polygon with vertices D (-1, 2), E (2, 2), F (2, -1), and G (-3, -1). If necessary, round to the nearest tenth

Answers

Answer:

48 units

Step-by-step explanation:

1. graph

2. separate into a triangle and a square

3. the square is 6x6 squares, so 36 there

4. the triangle is 4x6, so (4x6)/2 is 12

5. 36+12 = 48 units

Last year, Maria planted a tree that is 5 11/12 feet tall. This year, the tree is 7 2/3 feet tall. How many feet did the tree grow?

Answers

Answer

Step-by-step explanation:

1 3/4

What's the x plz help

Answers

Answer:

The answer for x is ten

City A and City B are 540 miles apart on a map. The scale on the map is 1inch:60 miles. How many inches apart on the map should City A and City B measure. Explain how you would solve this problem. What would the final answer be?

Answers

Answer: 9 inch

Step-by-step explanation:

Given

Distance between city A and city B is 540 miles

Scale on the map is 1 inch: 60 miles i.e. 1 inch on the map is equivalent to 60 miles in the real situation

suppose the distance between city A and B on the map is x

[tex]\therefore \dfrac{1}{60}=\dfrac{x}{540}\\\\\Rightarrow x=\dfrac{540}{60}=9\ in.[/tex]

Therefore, the distance between city A and B is 9 in.

Can someone help me with this PLZ

Answers

Answer:

6 and 8

Step-by-step explanation:

Answer:

6 and 8

Step-by-step explanation:

Q1: 6 and 8

Q2: 8 and 12

Q3: 12 and 15

Q4: 15 and 20

Brainlist Pls!

is .849 greater than .90

Answers

Answer:

NO it isnt.

Step-by-step explanation:

Go right of the decimal and throught the different place values. Since the number just right of the decimal is the highest place value, whichever number is greater, holds the greater value.

no it isn’t greater then .90

Can Someone Help me, pls?

Answers

Answer:

6.25 <7

Step-by-step explanation:

Answer:

(1) [tex]x\leq 4[/tex]

(2) [tex]x\geq 4[/tex]

Step-by-step explanation:

[tex]\frac{1}{4}x + 6\leq 7\\(4) \frac{1}{4}x + 6\leq 7(4)\\x+24\leq 28\\ - 24 -24\\x\leq 4[/tex]                [tex]-5x-24\leq -44\\+24 +24\\-5x\leq -20\\\frac{-5x\leq -20}{-5} \\x\geq 4[/tex]

please i need the answer

Answers

Answer:

12m i think

Step-by-step explanation:

Answer: If it is finding area the answer the area is 9216m if it is perimeter and I believe it is then the perimeter is 40m

Use this picture to name one pair of ALTERNATE EXTERIOR angles: *

Answers

Answer:

angle 4 is congruent to angle 7

angle 8 is congruent to angle 3

angle 2 is congruent to angle 5

angle 1  is congruent to angle 6

Step-by-step explanation:

alternate exterior angles are congruent, which means identical

Anne surveyed the 12 slowest runners in PE, class about their favorite sports,
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Answers

Don’t go to the persons above me!!!! link I’m warning you!!!!

The ratio of the length to the width to the height of an open rectangular tank is 10: 5: 8. The height is 18 feet longer than the width. What is the volume of the tank

Answers

Answer:

hi

Step-by-step explanation:

how are you

Answer:  A: L: W: H = 10: 5: 8

Step-by-step explanation:  The height of the tank is 18 feet longer than the width

H = 8 parts, W = 5 parts => 8 – 5 parts = 18 feet i.e. 3 parts = 18, 1 part = 6 feet

Hence, L = 10 * 6 = 60 feet

W = 5 * 6 = 30 feet

H = 8 * 6 = 48 feet

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What is the area of a circle with a radius of 3 cm

Answers

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer......

A ≈ 28.27cm²

Hope it helps!

Mark me brainliest pls......

Follow me! :)

Answer:

28.26

Step-by-step explanation:

Area of a circle:

A = πr²

A = 3.14(3²)

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A = 28.26

Can you solve the inequalities 9.50(70+x)≥1000

Answers

Answer: x_>(70+x_>)1000

Step-by-step explanation:

Answer:

35.26315789

Step-by-step explanation:

Question: 9.5(70+x)≥1000

70+x≥1000/9.5

(divide by 9.5 into both sides)

70+x≥105.2631579

x≥105.2631579-70

(minus 70 into both sides)

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im not sure if its too small or not

Answers

Answer:

area of ring shape =

[tex](\pi \times 6 \times 6) - (\pi \times 4 \times 4)[/tex]

=

[tex]36\pi - 16\pi[/tex]

=

[tex]20\pi[/tex] square inches

3. Over the weekend, Jada made three times as much money babysitting than Han did mowing lawns. Jada made an additional $27 selling lemonade. From babysitting and selling lemonade, she has a total of $96. If the equation 3x + 27 = 96 represents this situation, what does the variable x represent?​

Answers

Answer:

X is the amount Han made mowing lawns

because it said that she earned 3xs the amount he did. So you would take what he made times three plus the extra 27 she made from selling lemonade

Ayuden porfa . Determine 4 ala potencia x + 4 la potencia -x si se sabe que 2 ala potencia x + 2 ala pontecia -x es igual a 3

Answers

Answer:

4ˣ + 4⁻ˣ es igual a 7

Step-by-step explanation:

4ˣ + 4⁻ˣ

Dónde;

2ˣ + 2⁻ˣ = 3

Nosotras tenemos

[tex]2^x + \dfrac{1}{2^x} = 3[/tex]

[tex]2^{2\cdot x} +1 = 3 \cdot 2^x[/tex]

[tex]2^{2\cdot x} - 3 \cdot 2^x +1 = 0[/tex]

Deje que 'a' represente 2ˣ, tenemos;

a² - 3·a + 1 = 0

a = (3 ± √(3² - 4 × 1 × 1))/2 = (3 ± √5)/2

∴ a = 2ˣ = (3 ± √5)/2

((3 ± √5)/2)^2 - 3×(3 ± √5)/2 + 1

x = ln(3 ± √5)/2/(ln(2))

4ˣ + 4⁻ˣ = 4^(ln((3 ± √5)/2)/(ln(2))) + 4^(-(ln((3 ± √5)/2)/(ln(2)))) = 7

∴ 4ˣ + 4⁻ˣ = 7.

At 7am there was 4 inches of snow on the ground. After that, the snow fell at a rate of 1.5 inches per hour. Equation:

Answers

Answer:

y(t) = 4 + 1.5t

.

Step-by-step explanation:

Initial amount of snow = 4 inches

Fall rate of snow = 1.5 inch per hour

Equation to model the scenario goes thus :

Initial amount of snow + (fall rate of snow * number of hours)

Let the number of hours = h

4 inches + (1.5 inch per hour * h)

Equation, y(t) becomes ;

y(t) = 4 + 1.5t

Which one doesn’t belong?
Come up with one reason for at least 3 different boxes

Answers

Answer:

I think box #1 doesnt't belong because it say spend $100 and get $10 off

Step-by-step explanation:

Find the surface area of each figure. Round to the hundredths place when necessary.​

Answers

Answer:

SA = 997.88 mm²

Step-by-step explanation:

height² = 20.5² - 13.3² = 420.25 - 176.89 = 243.36

height = √243.36 = 15.6

SA = (16 x 13.3) + (16 x 20.5) + (16 x 15.6) + (0.5 x 2 x 13.3 x 15.6)

SA = 212.8 + 328 + 249.6 + 207.48 = 997.88 mm²

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