Question 9 of 10
Which of the following equations is an example of inverse variation between
the variables x and y?

Y=x/3
Y=3x

Given:

A figure of a triangle.

To find:

The value of g.

Solution:

Law of Cosines:

[tex]a^2=b^2+c^2-2bccosA[/tex]

Using the Law of Cosines for the given triangle, we get

[tex]g^2=8^2+7^2-2(8)(7)cos(65^\circ)[/tex]

[tex]g^2=64+49-112(0.4226)[/tex]

[tex]g^2=113-47.3312[/tex]

[tex]g^2=65.6688[/tex]

Taking square root on both sides.

[tex]g=\sqrt{65.6688}[/tex]

[tex]g=8.10363[/tex]

[tex]g\approx 8.10[/tex]

Therefore, the value of g is about 8.10 units.

Answer:

7502.88m^2

here u go hope it helps

The area of the pier is approximately 1231.62 square meters.

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

The pier is in the shape of a semicircle.

So,

The area of a semicircle is half of the area of a circle with the same diameter.

The area of a circle with a diameter of 56m is:

A = πr² = π(28)² = 2463.23 m²

So,

The area of the semicircle is:

A/2 = 2463.23/2= 1231.62 m²

Therefore,

The area of the pier is approximately 1231.62 square meters.

Learn more about circle here:

https://brainly.com/question/11833983

#SPJ2

Answer is in the file below

tinyurl.com/wpazsebu

Answer:

When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side! This is why you must flip the sign whenever you multiply by a negative number.

Step-by-step explanation:

Your Welcome

Answer:

The length of the arc is approximately 2.0944

Step-by-step explanation:

The given parameters are;

The equation of the circle = x² + y² = 1

The radius of the circle, r = 1

The equation of the line, y = 1/2

Therefore, we point where the line intersects with the circle are given as the points 'y = 1/2' as follows;

When y = 1/2, the equation of the circle becomes;

x² + (1/2)² = 1

x² = 1 - (1/2)² = 3/4

x = ±√3/2

The angle subtended by the arc, θ = 2 × arctan((√3/2)/(1/2)) = 120°

The circumference of the circle, C = 2·π·r

∴ C = 2 × π × 1 = 2·π

The length of the arc, l = (θ/360) × C

∴ l = (120/360) × 2·π = (2/3)·π

The length of the arc, l = (2/3)·π ≈ 2.0944

The length of the arc is approximately 2.09

From the question, we have the following parameters

The equation of the circle = x² + y² = 1

The radius of the circle, r = 1

The equation of the line, y = 1/2

The line intersects with the circle are given as the points 'y = 1/2' as follows;

When y = 1/2, the equation of the circle becomes;

x² + (1/2)² = 1

x² = 1 - (1/2)² = 3/4

x = ±√3/2

Determine the subtended angle

The angle subtended by the arc is expressed as:

θ = 2 × arctan((√3/2)/(1/2))

θ = 120°

The circumference of the circle, C = 2·π·r

C = 2 × π × 1 = 2·π

The length of the arc, l = (θ/360) × C

l = (120/360) × 2·π = (2/3)·π

The length of the arc, l = (2/3)·π ≈ 2.09

The length of the arc is approximately 2.09

Learn more on length of an arc here:https://brainly.com/question/2005046

Answer:

5x+3=4*-2

5x+3= -8

5x=-8-3

x= -11/5

Answer:

Angle 6 and 7

Step-by-step explanation:

Supplementary angles are those angles that measure up to 180 degrees

Answer:

An algebraic equation is an equation used in algebra which uses numbers and letters. The letters are representing unknown numbers and are called variables.

Answer:

An algebraic equation is "a mathematical statement in which two expressions are set equal to each toher."

If that is too complicated to understand, look at it like this. An algebraic equation usually has two things: an equal sign, and letters. For example, this is an algebraic equation: x + 3 = 7.

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

15 times 4

Answer:

It's D. The initial value of y is 3 because 6,9 and 12 are 3 digits apart, and it always is Y over X

Answer:

x=4,y=3

Step-by-step explanation:

x=19-5y if we transpose equation 2 for x.

Plug that into equation 1

4(19-5y)+3y=25

76-20y+3y=25

76-25=17y

51=17y

y=3

Plug y=3 into equation 2

x+5(3)=19

x=19-15=4

We are having two equations,

★ From Equation No 2 :-

>> x + 5y = 19

>> x = 19 - 5y

★ From Equation No 1 :-

Substitute here the value of x which we got above as (19 - 5y).

>> 4x + 3y = 25

>> 4 (19 - 5y) + 3y = 25

>> 4 × (19 - 5y) + 3y = 25

>> 76 - 20y + 3y = 25

>> 76 - 17y = 25

>> -17y = 25 - 76

>> -17y = -51

>> 17y = 51

>> y = 51 / 17

>> y = 3

★ Finding out value of x :-

>> x = 19 - 5y

>> x = 19 - 5(3)

>> x = 19 - 5 × (3)

>> x = 19 - 15

>> x = 4

Step-by-step explanation:

There is a total amount of vehicle of 100

which is good because now you can say 73% is cars 16% is small trucks 6% is large trucks and 2% motorcycle and 3% bicycle. Adding the trucks (small 16, large 6) gives us 24% so you can do 100% - 24% and get 74%. Thanks and goodbye!

Answer:

The crow eats more food per day.

Step-by-step explanation:

eagle eats 1 pound per day.

crow eats 3 pounds/2 days -> 1.5 pounds per day

1.5 > 1

Answer:10%

Step-by-step explanation:

its is a percent increase because 35 to 63 is going to be 10% going up.

Answer:

The percentage change (an increase) wa 40%.

Step-by-step explanation:

The beginning number of acres was 100; adding 40 more brought that to 140 acres.  This was an increase.  Dividing the increase (40) by the starting value (100) yields 0.40.  Finally, multiplying this result by 100% yields 40%.

The percentage change (an increase) wa 40%.

Answer:

71, the explanation is in the other question

Answer:

Use photo math, it will explain it all in different forms

Answer:

1/20

Step-by-step explanation:

Karina ate 1/2 of the muffins. Ulysses ate 1/4 of the muffins. Zawanna ate 1/5 of the muffins. Juan ate the rest of the muffins. What fraction of the muffins did Juan eat?

Let the total number of muffins = 1

Hence:

The fraction of muffins Juan ate =

1 - (1/2 + 1/4 + 1/5)

Lowest common denominator is 20

1 - ( 10 + 5 + 4/20)

1 - 19/20

= 1/20

The Fraction of muffins Juan ate is 1/20

Answer:

1. (x-3)(x+2)

2. (x-5)(x-3)

3. x= 2,1

4. x= -2,-4

5. x= 3,-7

6. x= 1,-8

7. x= 5,-7

8. x= -1/3,-2

Step-by-step explanation:

Answer:

- 2.18

Step-by-step explanation:

550 × [tex]3^{x}[/tex] = 50

[tex]3^{x}[/tex] = [tex]\frac{1}{11}[/tex]

[tex]log_{3}[/tex] [tex]\frac{1}{11}[/tex] = x

x = [tex]log_{3}[/tex] 1 - [tex]log_{3}[/tex] 11

[tex]log_{3}[/tex] 1 = 0

[tex]log_{3}[/tex] 11 = 2.1826583386

x ≈ - 2.18

Answer:

6 centimeters

Step-by-step explanation:

There are 6 sides, so each side would have an area of 216/6 = 36.

Then, since each side is a square you know that the length of one side would be [tex]\sqrt{36} = 6[/tex]

2 and 4

Step-by-step explanation:

This image shows an example on corresponding angles.

Answer:

Angle 2 and 4

Answer:

Step-by-step explanation:

Answer:

Tn = 4n+3

Step-by-step explanation:

It is an Arithmetic Sequence

a=7

d=11-7 =4

Tn= a+(n-1)d

= 7+(n-1)4

= 7+4n-4

= 4n+3

Answer:

16[tex]\frac{2}{3}[/tex]%

Step-by-step explanation:

To convert from a fraction to a percentage, you can multiply the fraction by 100%.

[tex]\frac{1}{6}[/tex] × 100% = 16[tex]\frac{2}{3}[/tex]%

Answer:

We can find the solution to a system of equations by graphing the equations. Let's do this with the following systems of equations:

Answer: 19.7

Step-by-step explanation:

Answer:

19.7

Step-by-step explanation:

Answer:

if I have my calculations right it would be £120

Answer:

303

Step-by-step explanation: