The length of your family's garden is 3 feet greater than the width. The area of the garden is 460 square feet. What are the dimensions of the garden?

Answer:

105in²

Step-by-step explanation:

Surface area is the total area of the faces.

The faces of pyramid consist of triangles and a square

The area of a square can easily be calculated by squaring the side length

the square of this pyramid has a side length of 5

so

area of square = 5²

5² = 25

the area of the square is 25in²

Now to find the area of the triangles

All we have to do is find the area of one triangle and multiply that buy 4 ( because there are four triangle)

the area of a triangle can be calculated using this formula :

[tex]A=\frac{bh}{2}[/tex]  where b = base and h = height

The triangles have a base length of 5 in and a height of 8 in

so

[tex]A=\frac{5*8}{2} \\5*8=40\\\frac{40}{2} =20\\A=20[/tex]

So the area of one triangle is 20 in²

Now we multiply 20 by 4 to find the area of all 4 triangles

20 * 4 = 80

So the total area of the triangles is 80in²

Finally we add the two areas together

Surface area = 80 + 25

80 + 25 = 105

Hence, the surface area is 105in²

Answer:

105 in.

Step-by-step explanation:

To find the area of a square pyramid, use this formula

a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height.

The base is a square.

To find the area of a square, simply multiply the side length by itself twice (x^2).

5 x 5 = 25.

25 is the area of the base.

a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height

25 + 1/2 ⋅ p ⋅ height.

To find the perimeter of a square, add every side length; the sum is the perimeter.

5 + 5 + 5 + 5 = 20.

20 is the perimeter of the square.

a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height

25 + 1/2 ⋅ 20 ⋅ height

The height is the number along the little lines.

8 is the height.

Now that we have all parts of the formula, we have our final equation.

a (area of base) + 1/2 ⋅ p (perimeter of base) ⋅ height

25 + 1/2 ⋅ 20 ⋅ 8 = 105.

105 in. is the surface area of the square pyramid.

Answer:

(2m^2-3)(m-1)

Step-by-step explanation:

2m^3-2m^2+3-3m

2m^3-2m^2-3m+3

2m^2(m-1)-3(m-1)

(2m^2-3)(m-1)

Answer:

(2m^2-3)(m-1)

Step-by-step explanation:

2m^3-2m^2+3-3m

=(2m^3-2m^2)+(3-3m)

=2m^2(m-1)+3(1-m)

=(m-1)(2m^2-3)

=(2m^2-3)(m-1)

The roles and relationships that exist amongst the producers, consumers, and decomposers in an ecosystem is described by the food chain.

The meaning of ecosystem is the complex of a community of organisms and its environment functioning as an ecological unit.

Producer is an organism that produces its own food e.g. photosynthesis in plants. Also known as the base of the food-chain.

Consumer is an organism that consumes (eats) either a producer or another consumer e.g. animals will solely eat plants (herbivore), solely animals (carnivore), or a combination of both (omnivore).

Studies are showing that most animals are omnivores. Even pre-concluded herbivores or carnivores are found to eat a small variety of both plants and animals in a pinch. E.g. a deer would eat a baby bird if it found it on the ground.

Decomposers are organisms that 'eat' and break up dying/decaying material e.g. earthworms and fungi.

All of this together is the food cycle.

Learn more about ecosystem, click;

https://brainly.com/question/13979184

#SPJ3

Answer:

201.1

Step-by-step explanation:

πx8²=201.1

Answer:

90,75, and 15

Step-by-step explanation:

90+5x+×=180

6x=90

x=15

Answer:

12/6=2

Step-by-step explanation:

If you set n=∞ it approaches zero

Therefore [tex]7^0+5=12[/tex]

One way to find the midpoint is to start at either endpoint (A or B), and count how many spaces it takes to get to the other endpoint. You should count exactly 5 spaces. This means that the midpoint will have us travel 5/2 = 2.5 spaces when we start at either endpoint and walk to the other side.

If we start at point A and move 2.5 units up, then we'll arrive at (-2, 1.5)

If you start at point B (where the red x is) and move 2.5 units down, you'll get to (-2, 1.5)

The midpoint is located at (-2, 1.5)

------------------------------------------

Another method is to use the coordinates of A and B. Point A is located at (-2, -1) and point B is located at (-2, 4)

Focus on the x coordinates for now only. The x coordinates are -2 and -2, so they are the same in this case. Adding them up leads to -2+(-2) = -4. Then we divide by 2 to get -4/2 = -2. It turns out that if the coordinates are the same, then adding them up and dividing by two leads to the same coordinate value.

Now move onto the y coordinates. Points A and B have y coordinates of -1 and 4 respectively. They add to -1+4 = 3 and that cuts in half to 3/2 = 1.5

The results of -2 and 1.5 we got in the previous two paragraphs then immediately lead to the midpoint's exact location of (-2, 1.5)

Answer:

Step-by-step explanation:

I don’t see any pictures

15 dollars from 1 sidewalk

140 dollars from ? sidewalks

140/15 =9.333(bar)

Dionte needs to shovel 10 sidewalks

Answer: SA=33ft^2

have an amazing day <3

Answer:

f(x) = 10x - 27. I can't find the answer anywhere

Step-by-step explanation:

Answer: 4.9 ft

Step-by-step explanation:

Given

Length of wire [tex]l=7\ ft[/tex]

Stake is at a distance of [tex]5\ ft[/tex] from the base of tree

suppose wire is attached y ft  above the base of tree

from the figure, we can write

[tex]\Rightarrow 7^2=5^2+y^2\\\Rightarrow y^2=49-25\\\Rightarrow y=\sqrt{24}\\\Rightarrow y=4.89\approx 4.9\ ft[/tex]

Answer:

A Lucia le sobró dinero y la cantidad que sobró es: 488 pesos.

Step-by-step explanation:

Para determinar si le faltó o le sobro dinero, debes determinar el costo total de lo que compró multiplicando el precio de cada artículo por la cantidad comprada y sumando estos valores:

(60*12)+(156*7)+(350*2)=720+1092+700=2512

Dado que pagó con 3000 pesos y el costo total de lo que compró es de 2512 pesos y este valor es menor que 3000 en 488 pesos, la respuesta es que le sobró dinero.

Answer:

3 is the answer

Step-by-step explanation:

hope it will help you

Answer:

x = number of cards that cost $2.50 each = 5

y = number of cards that cost $3.25 each = 1

Step-by-step explanation:

The equations are:

x + y = 6 (1)

2.5x + 3.25y = 15.75 (2)

From (1)

x = 6 - y

Substitute x = 6 - y into (2)

2.5x + 3.25y = 15.75 (2)

2.5(6 - y) + 3.25y = 15.75

15 - 2.5y + 3.25y = 15.75

- 2.5y + 3.25y = 15.75 - 15

0.75y = 0.75

y = 0.75/075

y = 1

Substitute y = 1 into (1)

x + y = 6

x + 1 = 6

x = 6 - 1

x = 5

Therefore,

x = number of cards that cost $2.50 each = 5

y = number of cards that cost $3.25 each = 1

Answer:

I'm not sure but I think its a

Answer:

d) 73 m

Step-by-step explanation:

From the Question, we are told that:

Maya is finding the area of the shaded triangle below.

A triangle has a base of 73 meters and a height of 10 meters.

If she considers 10 m to be the height of the triangle, what should she use as the triangle’s base?

The area of a triangle = 1/2 × Base × Height

We are already told the base of the triangle from the question and this is 73 m

Option D, 73 m is the correct answer

Answer:

there are twelve total combinations

Step-by-step explanation:

just by looking at the problem though,

ABCD

AB

AC

AD

BA

BC

BD

CA

CB

CD

DA

DB

DC

normally, because some of them are repeated, we need to get rid of some

AB

AC

AD

BC

BD

DC

since this is about passwords though, we need to keep all of the same twelve combinations because the order of the letters are important

Answer:

-2

Step-by-step explanation:

To find the slope of a line with 2 given points, you use the formula

m=y2-y1/x2-x1

Now you plug in the points which would be m=3-(-1)/2-4 which equals m=4/-2

4/-2 equals -2

The slope is -2

Answer: 1

Heres why: If you subtract the 1 from 2 you get 1

Answer:

Part A: One.

Part B: (3, 5)

Step-by-step explanation:

Part A: A solution to a pair of equations is generally where the two functions intersect. As we can see, a graph is provided, so things are facilitated. We can see that they only intersect once, which means only one answer.

Part B: The solution, which as we have learned is where the two lines intersect, is (3, 5), as that is, again, the point of intersection.

Answer:

2 because 1 is the smallest number so if you add 1 and 1 then that is 2

Answer:

ITS 2.

Step-by-step explanation:

So if you had one doggy and you got another doggy, you would have two doggies! A lot of people mistake this by saying 11, but I know its 2.

Step-by-step explanation:

SI = P × R × T / 100

= 56780 × 3 × 3 / 100

= 5110.2

Answer:

For f(x) = √(2·x + 2) - √(x + 18), at f(x) = -1 the possible x-values includes;

-0.757, -17.5

Step-by-step explanation:

Given that the function is f(x) = √(2·x + 2) - √(x + 18)

The value of 'x' when f(x) = -1, is given as follows;

-1 = √(2·x + 2) - √(x + 18)

-1² = (√(2·x + 2) - √(x + 18))² = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)

1 = 3·x + 20 - 2·√(2·x + 2)×√(x + 18)

2·√(2·x + 2)×√(x + 18) = 3·x + 20 - 1 = 3·x + 19

2·x² + 38·x + 36 = (3·x + 19)/2

2·x² + 38·x + 36 - (3·x + 19)/2 = 0

4·x² + 73·x + 53 = 0

From which we get;

x = (-73 ± √(73² - 4 × 4 × 53))/(2 × 4)

x ≈ -0.757, and x ≈ -17.5

Answer:

y = 25.20 m

Step-by-step explanation:

By applying tangent rule in ΔABC,

tan(25)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

             = [tex]\frac{y}{BC}[/tex]

BC = [tex]\frac{y}{\text{tan}(25)}[/tex] --------(1)

Now we apply tangent rule in ΔABD,

tan(15)° = [tex]\frac{y}{BC+CD}[/tex]

tan(15)° = [tex]\frac{y}{BC+40}[/tex]

BC + 40 = [tex]\frac{y}{\text{tan}(15)}[/tex]

BC = [tex]\frac{y}{\text{tan}(15)}[/tex] - 40 -------(2)

From equation (1) and (2),

[tex]\frac{y}{\text{tan}(25)}=\frac{y}{\text{tan}(25)}-40[/tex]

[tex]\frac{y}{\text{tan}(25)}-\frac{y}{\text{tan}(25)}=-40[/tex]

[tex]y[\frac{1}{\text{tan}(25)}-\frac{1}{\text{tan}(25)}]=-40[/tex]

y(2.1445 - 3.7321) = -40

1.5876y = 40

y = 25.1953

y ≈ 25.20 m

Therefore, measure of y is 25.20 m.

Answer:

Its 108 because you have to split up the rectangles so when you cut them in half you will have 2 separate rectangles 1 with a base of 8 and a height of 9 so you will multiply those so 9 x 8 = 72 then just do the other two so 6 x 6 = 36 now you add those together 36 + 72 = 108 hope that helps

The Answer Is 108

Find the top length by adding 8+6=14

And the sides are the same length, meaning the sides are equivalent to 6.

6x14=84.

To find the sides for the the other rectangle, do 9-6 to get the side 3.

3x8=24

Add both areas to get 108 Inches Squared.

Answer:

4 per game

Step-by-step explanation:

Answer:

-1/8

Step-by-step explanation:

write all numerators above the least common denominator 8

3-4/8

calculate the product

-1/8

Answer:

negative 1/8 or 0.125

Step-by-step

-1/2 cancells out the plus, so it is just 3/8 - 4/8 = -1/8