All categories

4 years ago

Find the area of the polygon. All angles in the figure are right triangles.

Mathematics

1 answer:

svet-max [94.6K]4 years ago

7 0

Answer:

The area is 207 square feet

Step-by-step explanation:

*The area of the rectangle whose dimensions are 21 and 15 is 315 square feet

*The area of the rectangle whose dimensions are 12 and 9 is 108 square feet

*By subtracting the small area from the big area you will get the area of the polygon

*The area of the polygon = 315 - 108 = 207 square feet

You might be interested in

What is the purpose of Limited Government?

Cerrena [4.2K]

Answer:

Step-by-step explanation:

Its to protect the rights of citizens so that the central government doesnt gain too much power to themselves

3 0

3 years ago

Nine-banded armadillos always give birth to quadruplets—four identical babies (called pups). Jenny’s armadillo has produced four

Lerok [7]

Answer:

a. 16; b. aₙ = 4ⁿ⁻¹; c. predation and carrying capacity will limit the population

Step-by-step explanation:

a. The first female had 4 pups.

If each of them had 4 pups, there would be 4 × 4 = 4² = 16 pups.

b. 1st generation = 1 pup

2nd generation = 4 × 1 pup = 4 pups

3rd generation = 4 × 4 pups = 16 pups

4th generation = 4 × 16 pups = 64 pups

5th generation = 4 × 64 pups = 256 pups

The sequence is 1, 4, 16, 64, 256, …

We can also write it as 4⁰, 4¹, 4², 4³, 4⁴, …

Note that the exponent is one less than the number of the generation.

Thus, the general formula for the nth term, aₙ, is

aₙ = 4ⁿ⁻¹, where

n = the number of the generation

a = the number of pups in that generation.

c. a₂₅ = 4²⁵⁻¹ = 4²⁴ ≈ 281 000 000 000 000 or 281 trillion

The population would not reach that number because there would not be enough food for all those pups. Pups would die of starvation until their numbers equalled the carrying capacity of the ecosystem and would level off at that point.

There would also be increased predation by coyotes, bobcats, etc. This would also keep the population growth in check,

8 0

3 years ago

Humberly has $24 and they want to buy at least 8 containers of yogurt. Yogurt is packaged in both large and small containers. La

yanalaym [24]

Answer:

Hence he will be 4 large containers and 4 small containers

Step-by-step explanation:

Given data

Let the number of small containers be x

and the number of large containers be y

x+y= 8---------1

also

2x+4y= 24-----2

the system of equation to solve the problem is

x+y= 8

2x+4y= 24

from 1

x=8-y

put this in 2

2(8-y)+4y= 24

16-2y+4y= 24

2y= 24-16

2y= 8

y= 8/2

y= 4

put y= 4 in 1

x+4=8

x= 8-4

x= 4

Hence he will be 4 large containers and 4 small containers

6 0

3 years ago

HELP PLEASE solve for x : 2.1x - 3.6 = 8 1) 6.77 2)2.1 3)1.22 4)5.52

ss7ja [257]

Answer:

Rounding x = 5.52

Step-by-step explanation:

2.1x - 3.6 = 8

Add 3.6 to each side

2.1x - 3.6+3.6 = 8+3.6

2.1x = 11.6

Divide each side by 2.1

2.1x/2.1 = 11.6/2.1

x =5.523809524

Rounding x = 5.52

3 0

3 years ago

Analyze the asymptotes of the function.

koban [17]

Answer:

vertical asymptote at x=-1

horizontal asymptote at y=0

Step-by-step explanation:

$y=\frac{1}{x+1}$

To find vertical asymptote we set the denominator =0 and solve for x

x+1=0 (subtract 1 from both sides)

x=-1

So, vertical asymptote at x=-1

To find horizontal asymptote we look at the degree of both numerator and denominator

there is no variable at the numerator , so degree of numerator =0

degree of denominator =1

When the degree of numerator is less than the degree of denominator

then horizontal asymptote at y=0

5 0

3 years ago