Given that x = 9.5 m and θ = 20°, work out AC rounded to 3 SF​

Answer:

y=10/x

Step-by-step explanation:

Y=k/x

Y=2 & x=5 implies k=10

Hence, y=10/x is the desired equation of the hyperbola

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Answer:

The equation is  and  y = 2 , x = 5 the value of k is 10 .

Step-by-step explanation:

As given

y varies inversely with x.

Where k is the constant of proportionality .

Thus the equation for the  inverse variation .

As given

y = 2 when x = 5

Put all the values in the equation  .

k = 2 × 5

k = 10

Thus the constant of variation is 10 .

Therefore the equation is  and when y = 2 , x = 5 value of k is 10 .

...............................................................................................................................................

y

=

10

x

Explanation:

y

varies inversely with  

x

⇒

y

∝

1

x

∴

y

=

k

x

y

=

2

,

x

=

5

gives

2

=

k

5

⇒

k

=

2

×

5

=

10

y

=

10

x

Answer link

...............................................................................................................................................

Y varies inversely with x means, y=k\x where x is the constant of variation saying that 2=k\5 and gives k=10 y=10\x would be the equation for  any x

...............................................................................................................................................

The answer is y=10/x

Answer:

sooooooooooooooo

Step-by-step explanation:

um

Answer:

-21 is the correct answer . Hope you like my answer.

Answer:

D. 66

Step-by-step explanation:

6×(4+7)

6×11

=66

9514 1404 393

Answer:

  9n^4

Step-by-step explanation:

The divisor and quotient can be interchanged to find the divisor:

  [tex]\dfrac{18n^6+27n^5-36n^4}{2n^2+3n-4}=\boxed{\text{Blank 1}}[/tex]

Such division is carried out by first finding the quotient of the highest-degree terms:

  [tex]\dfrac{18n^6}{2n^2}=\dfrac{18}{2}n^{6-2}=9n^4[/tex]

This value is used to multiply the denominator and subtract that product from the numerator to find the new numerator. The new numerator is zero, so the value that goes in Blank 1 is ...

  9n^4

_____

The attachment shows the long division.

Answer:

a) 65 degrees

b) 60 degrees

Hope that helps! Good luck! :)

-Aphrodite

Step-by-step explanation:

Answer:

x ≤ 12

Step-by-step explanation:

The problem can be represented by the equation:

25 - x = y and y ≥ 13

So, we find that 25 - 12 = 13, which means that any number greater than 12 would result in a difference lower than 13. This sets 12 as the maximum.

Given:

A  merchant bought 12 boxes of eggs containing 10 eggs each at the rate of Rs 50 per box.

He spent Rs 40 on transportation.

He sold the eggs at rs 12 per pair.

To find:

The gain or loss percentage.

Solution:

The cost of 1 box of eggs is Rs. 50. So, the cost of 12 boxes of eggs is:

[tex]12\times 50=600[/tex]

Number of eggs in 12 boxes is:

[tex]12\times 10=120[/tex]

He spent Rs 40 on transportation. So, total cost of 12 boxes of eggs is:

[tex]600+40=640[/tex]

Cost of each egg is:

[tex]\dfrac{640}{120}=\dfrac{16}{3}[/tex]

He sold the eggs at Rs 12 per pair. It means the selling price of two eggs is Rs 12. So, the selling price of each egg is:

[tex]\dfrac{12}{2}=6[/tex]

We need to find the gain or loss percentage.

Since [tex]\dfrac{16}{3}<6[/tex] it means the selling price is greater than the cost price, therefore it is gain.

The gain percent is:

[tex]Gain\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]

[tex]Gain\%=\dfrac{6-\dfrac{16}{3}}{\dfrac{16}{3}}\times 100[/tex]

[tex]Gain\%=\dfrac{\dfrac{18-16}{3}}{\dfrac{16}{3}}\times 100[/tex]

[tex]Gain\%=\dfrac{2}{16}\times 100[/tex]

[tex]Gain\%=12.5\%[/tex]

Therefore, the gain percent is 12.5%.

The amplitude of the graphs of the sine and cosine functions is the vertical distance between the sinusoidal axis and the maximum or minimum value of the function.

And the period of each is the distance between two peaks of the graph, or the distance it takes for the entire graph to repeat.

The amplitude of each of the graphs of the sine and cosine functions is 1

The period of each of the graphs of the sine and cosine functions is 2π.

Read more at; https://brainly.com/question/3919296

Answer:

(5+3) times 2 then that would be 16

Step-by-step explanation:

You are just multiplying everything inside of the Parentheses after you add them together.

Here is an easy way to remember the order of operation:

PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Hope that helps

Answer:

x = 4 , − 10

Step-by-step explanation:

Answer:

rhombus

3x - 4 = 17

3x = 21

x = 7

there is no y

Answer:

Mean = 6

Median = 6

Mode = 5 and 6

Step-by-step explanation:

Mean - Add all numbers together then subtract from how many numbers are there.

Median - Arrange your numbers in numerical order. Then count how many numbers you have. After that you pick the number in the middle.

Mode - This question has a two modes because there are two number that both appear the same amount of time.

Answer:

72 kg

Step-by-step explanation:

For concreatting a tower cement, sand, stones are in the ratio 1:2:4 For 144kg sand.. What amount of cement is required?

We are given the ratio

cement: sand:stones

= 1:2:4

The sum of proportion =

1 + 2 + 4 = 7

We are given the kg of sand = 144kg

Step 1

We find the total kg of cement, sand and stones = x

Using the proportion of sand,

2/7 of x = 144kg

2/7 × x = 144kg

2x/7 = 144kg

Cross Multiply

2x = 7 × 144kg

x = 7 × 144kg/2

x = 504kg

Therefore the total kg of cement, sand and stone = 504kg

Step 2

The amount of cement required is calculated as:

1/7 × 504 kg = 72 kg

Therefore, 72kg of cement is required.

Answer:

11.8

Step-by-step explanation:

The area of a sector is central angle/360 x [tex]\pi[/tex][tex]r^{2}[/tex].

Thus, the central angle is 150, while the r=3

So, [tex]\frac{150}{360}[/tex] ×[tex]3^{2}\pi[/tex]=[tex]\frac{15}{4} \pi[/tex] , which is also 11.78097245 or 11.8

Answer:

A. No

B. No

C. Yes

Step-by-step explanation:

A and B are either below or above 180 degrees when all angles degrees are added together

C is exactly 180 degrees when all angles degrees are added together

Answer:

A. No

B. No

C. Yes

Step-by-step explanation:

A is no because the triangles do not follow the Triangle Inequality Theorem, nor do the angles add up to 180°. The Triangle Inequality Theorem states that the sum of two angles must be larger than the third side.

100 + 40 + 20 = 160° (DO NOT ADD UP TO 180°)

40 + 20 = 60 (60 IS NOT GREATER THAN THE THIRD SIDE, WHICH IS 100).

B is no because the triangle does not follow the Triangle Inequality Theorem, nor do the angles add up to  180°.

20 + 80 + 100 = 200° (DOES NOT ADD UP TO 180°)

20 + 80 = 100 (100° IS NOT GREATER THAN THE THIRD SIDE, WHICH IS 100.)

C is yes because the triangle follows the Triangle Inequality Theorem and the angles add up to 180°.

50 + 60 + 70 = 180°.

60 + 70 = 130 (130 IS GREATER THAN 50).

70 + 50 = 120 (120 IS GREATER THAN 60).

Answer:

107

Step-by-step explanation:

Probability = numbers that add up to 10 / total of numbers

There are 120 positive integers between 1 - 2020 that add up to 10.

120 / 2020

convert to its simplest form by dividing by 20

6 / 101

m + N = 101 + 6 = 107

Answer:

(-5/4,0)

Step-by-step explanation:

Answer:

[tex]A=552\ inches^2[/tex]

Step-by-step explanation:

The dimensions of a box measures 12 inches × 9 inches × 8 inches.

We need to find the area of the aluminium required to cover the entire outside of the box.

We know that the surface area of the cuboidal box is given by :

[tex]A=2(lb+bh+bl)\\\\=2(12\times 9+9\times 8+8\times 12)\\\\=2\times 276\\\\=552\ inches^2[/tex]

So, the required area of the foil is equal to [tex]552\ inches^2[/tex].

Answer:

8h=p

Step-by-step explanation:

Answer:

8h = p

or

p = 8h (this is how i wrote it and it was right)

Step-by-step explanation:

9514 1404 393

Answer:

  10

Step-by-step explanation:

After spending $8, Kyle had $20 left to buy $2 ride tickets. He could buy ...

  $20/$2 = 10 . . . tickets

__

An equation for the total Kyle spent is ...

  total spent = (entry fee) + (ride cost) × (number of rides)

  28 = 8 + 2n . . . . fill in the known values

  20 = 2n . . . . . . . subtract 8

  10 = n . . . . . . . . . divide by 2

Kyle bought 10 ride tickets.

Answer:

2

Step-by-step explanation:

There are two crosses before 1 1/2 on the graph :)

Answer:

Mean = 16

Median = 15

Mode = 15

Step-by-step explanation:

Mean - Add all numbers together then subtract from how many numbers are there.

Median - Arrange your numbers in numerical order. Then count how many numbers you have. If you have an odd number, divide by 2 and round up to get the position of the median number. If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

Mode - This question has one mode because there is only one number that occurs more that the rest.

Answer:

D

Step-by-step explanation:I hope this helps

Answer:

Hello! answer: 544

Hope this helps!

The surface area of the given triangular prism is 544 units³

A triangular prism is a polyhedron made up of two triangular bases and three rectangular sides.

Given that are the dimensions of a triangular prism, we are asked to find its surface area,

Surface area = (perimeter × length)+(base area)

Surface area = [(10+10+12)×14]+(8×12)

= 32×14+96

= 448+96

= 544

Hence, the surface area of the given triangular prism is 544 units³

Learn more about triangular prism, click;

https://brainly.com/question/27102803

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Answer:

-8b-11w+10

Step-by-step explanation:

The first term has a variable b

The second term has a variable w

The third term is a constant

They cannot be combined

Answer:

17

Step-by-step explanation:

Always put questions like these with an equal sign

3x + 2 = ?

plug in x value (x = 5)

3(5) + 2 = ?

solve

15 + 2 = ?

answer

17 = ?

Step-by-step explanation: