what is i to the power of 5​

The base and altitude of the triangular plot are [tex]42m[/tex] and [tex]21m[/tex] respectively.

The perimeter of the square plot having the same area as the triangular plot is [tex]84m[/tex]

a) Calculate the base and altitude of the triangular plot

The relationship between the Total cost of leveling the triangular plot, the cost per unit area, and the area of the triangular plot is

[tex]\text{unit cost}=\frac{\text{total cost}}{\text{area}}\\\\\text{area}=\frac{\text{total cost}}{\text{unit cost}}\\\\=\frac{\text{11025Rs.}\rupee}{25Rs./m^2}=441m^2[/tex]

The formula for calculating the area of a triangle, given the base and altitude is

[tex]\text{area of triangle}=\frac{1}{2}\text{base}\times\text{altitude}[/tex]

From the question

[tex]\text{base}=2\times\text{altitude}[/tex]

so

[tex]\text{area of triangle}=\frac{1}{2}\times 2\times\text{altitude}\times\text{altitude}\\\\\text{area of triangle}=\text{altitude}^2\\441=\text{altitude}^2\\\text{altitude}=\sqrt{441}=21m[/tex]

from this we can get the base

[tex]\text{base}=2\times\text{altitude}\\=2\times21m=42m[/tex]

b) Calculate the perimeter of a square plot having the same area

Since we found the area of the triangular plot to be [tex]441m^2[/tex], we will use this value for the area of the square plot, so that we can obtain the side

[tex]\text{area of square plot}=side^2\\441=side^2\\\sqrt{441}=side=21m[/tex]

Hence, the perimeter is equal to

[tex]perimeter=4\times side\\=4\times21=84m[/tex]

Learn more about area here: https://brainly.com/question/1447350

Answer:

is not equal to sign is used

Answer:

It would be 2 (10)

Step-by-step explanation:

If you replace x with 10 then you have a multiplacation problem  and the output of the answer is 20

Answer:

It would take him eight hours, but only if at the end of your sentence you meant miles.

Step-by-step explanation:

8miles_____ 30mn

30miles ____________________ *hrs

8 div by 30, .266667 miles per min

mult by 30

Answer:

The number is 42.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

The inverse of subtracting 24 is adding 24.

Step-by-step explanation:

The inverse of subtraction is addition.

Answer:

Step-by-step explanation:

I'll leave you to round

7.)

x= amount invested at time 0

[tex]x*e^{18*.07}=25000\\x=7091.35066249[/tex]

8.)

[tex]7091.35066249(1+\frac{.045}{4})^{4*36}=35510.594803[/tex]

8b.)

In the first investment we had a yield of: 25000-7091.35=17908.65

In the second investment we had a yield of: 35510.5948-7091.35=28419.24

While it may seem like the second investment had the higher return (because it had the higher yield) the first one has the highest yield because it's being compounded more often and at a higher rate

Answer:

its just rhombus and trapezoid i think.

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(1)

y varies directly as x² then the equation relating them is

y = kx² ← k is the constant of variation

To find k use the condition y = 32 when x = 2

32 = k × 2² = 4k ( divide both sides by 4 )

8 = k

y = 8x² ← equation of variation

When x = 5 , then

y = 8 × 5² = 8 × 25 = 200

(2)

Given F varies inversely as d² then the equation relating them is

F = [tex]\frac{k}{d^2}[/tex] ← k is the constant of variation

To find k use the condition F = 18 when d = 10

18 = [tex]\frac{k}{10^2}[/tex] = [tex]\frac{k}{100}[/tex] ( multiply both sides by 100 )

1800 = k

F = [tex]\frac{1800}{d^2}[/tex] ← equation of variation

When d = 15 , then

F = [tex]\frac{1800}{15^2}[/tex] = [tex]\frac{1800}{225}[/tex] = 8

(3)

y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

when x = 3, y = 6, z = 9 ,then

y = 6 × 3 × 9 = 162

Answer:

x>-4

Step-by-step explanation:

Hope this helps! Pls give brainliest! Also sub to kgir633 on yt.

Answer:

the answer is

Step-by-step explanation:

-7u⁶y²-5u³+3uy²

that is the correct answer trust me

Answer:

The common ratio of a geometric progression is calculated by dividing two consecutive terms and simplifying it to the simplest form. In the sequence, the ratio 1/3 is the same and is called the common ratio

Step-by-step explanation:

The common ratio of a geometric progression is calculated by dividing two consecutive terms and simplifying it to the simplest form. In the sequence, the ratio 1/3 is the same and is called the common ratio

Answer:

  each coordinate is multiplied by 1/3

Step-by-step explanation:

Each point on the graph is moved to a distance from the origin that is its previous distance multiplied by the scale factor. This means every coordinate value is multiplied by the scale factor.

For example, a coordinate of (3, -9) scaled by 1/3 will become ...

  (1/3)(3, -9) = (1, -3)

__

Additional comment

If your scale factor is 1/3, often you will find that coordinates of the larger image are all multiples of 3. This makes relocating them to 1/3 their original distance fairly easy. Even if they're not, you still move each point to 1/3 its original distance. The new point will be on the line segment joining the center of dilation (the origin) with the original point.

The attached graph is an illustration of dilation by a factor of 1/3.

Answer:

See attachment

Step-by-step explanation:

Answer:y - 0 = 4/3(x + 3)

Step-by-step explanation:

Answer:

Answer:y - 0 = 4/3(x + 3)

Step-by-step explanation:

Answer:

D. Reflect across the y-axis and then across x = 7

Step-by-step explanation:

A and B work because each transformed point is 12 to the right (x-value is 12 greater), and 3 left then 15 right is the same thing as just 12 right.

C. works because if you take each of the points and reflect them over the y-axis (make the x value positive) and then across the line x=6 (vertical line at 6 on the x-axis) it will map the points onto the correct image.

So, the answer is D. Reflect across the y-axis and then across x = 7.

Answer: Each phone case costs $6.54.

Explanation:

$32.70 ÷ 5 = cost per cell phone

$32.70 ÷ 5 = $6.54

Answer:

Step-by-step explanation:

We can clearly see that 90 = x + 25. Let's solve for x.

Since we found x, we can find y by substituting x in the equation 90 = x + y

Conclusion:

Therefore, we found that:

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

45.777777777778%

Step-by-step explanation:

Divide it

Hope this helps!  ;)

Step-by-step explanation:

a)

well, it is kind of written already :

228 miles and 6 gallons.

so, miles/gallon = 228/6 = 38 miles/gallon.

b)

it is not mentioned, but I guess we have to assume that he got the same miles/gallon ratio on this trip as well.

so, again

38 miles/gallon

and he used 9 gallons.

so, he drove 38×9 = 342 miles

Answer:

The price is $27.00

Step-by-step explanation:

First you find 40% of 60 which is 24.

Next you subtract 24 from 60 (60-24) which equals 36.

Then you find 25% of the discounted price (36) which is 9.

Finally you subtract 9 from 36 (36-9) which is 27.

Conclusion:

So therefore the answer is $27.00.

I don't care if I get brainlyist just glad I could help :)

Using it's formula, it is found that the displacement between t= 0  and t = 1 second is of 0 m.

The equation of motion is given by:

[tex]x(t) = 4\sin{\left(\pi t + \frac{\pi}{6}\right)}[/tex]

The displacement between t= 0  and t = 1 second is given by:

[tex]d = x(1) - x(0)[/tex]

Hence:

[tex]x(1) = 4\sin{\left(\pi + \frac{\pi}{6}\right)} = 4\sin{\left(\frac{7\pi}{6}\right)} = -\frac{4}{2} = -2[/tex]

[tex]x(0) = 4\sin{\left(\frac{\pi}{6}\right)} = \frac{4}{2} = 2[/tex]

Then:

[tex]d = x(1) - x(0) = -2 + 2 = 0[/tex]

The displacement is of 0 m.

You can learn more about displacement at https://brainly.com/question/248054

Answer:

h⁰ = 84⁰

f⁰ = 132⁰

g⁰ = 28⁰

Step-by-step explanation:

As we know that sum of all the angles in a triangle is 180⁰, so,

h⁰ + 48⁰ + 48⁰ = 180⁰

h⁰ = 84⁰

Now, we can find f⁰ by Linear Pair theorem, which states that the angles sum will equal to 180⁰.

48⁰ + f⁰ = 180⁰

f⁰ = 132⁰

Again, g⁰ can be founded the same way as h⁰.

20⁰ + 132⁰ + g⁰ = 180⁰

g⁰ = 28⁰

HOPE IT HELPS :)

Answers:

section A = 25,000 seats

section B = 14,200 seats

section C = 10,800 seats

Your teacher may want you to leave out the commas from each number.

=============================================================

Work Shown:

A = B+C

A+B+C = 50,000

B+C+B+C = 50,000

2(B+C) = 50,000

B+C = 50,000/2

B+C = 25,000

C = 25,000 - B

25A + 20B + 15C = 1,071,000

25(B+C) + 20B + 15C = 1,071,000

25(25,000) + 20B + 15(25,000 - B) = 1,071,000

625,000 + 20B + 375,000 - 15B = 1,071,000

1,000,000 + 5B = 1,071,000

5B = 1,071,000 - 1,000,000

5B = 71,000

B = (71,000)/5

B = 14,200 is the number of seats in section B

C = 25,000 - B

C = 25,000 - 14,200

C = 10,800 is the number of seats in section C

A = B+C

A = 14,200 + 10,800

A = 25,000 is the number of seats in section A

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

Check:

A+B+C = 25,000+14,200+10,800 = 50,000

Answer:

A) 42 is the correct answer, I just did .84 times 50 and that equals 42.

Step-by-step explanation:

Answer:

t

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. HI // KL , J is midpoint of  HL     1. Given

2. ∠IHJ ≅ ∠JLK                             2. Alternate interior angles are congruent

3. ∠IJH ≅ ∠KJL                              3. Vertically opposite angles

4. HJ ≅   JL                                     4. Given

5. ΔHIJ ≅ ΔLKJ                              5.  A S A congruent

                                                             (Angle Side Angle)

Answer:

2x + 7y = 35

Step-by-step explanation:

Multiply the equation with 7

7 ( y = -2x/7 + 5 )

7y = -2x + 35

2x + 7y = 35