Find the perimeter of this semi-circle with diameter, d = 78cm.
Give your answer rounded to 1 DP.

For the given equation:

m = 3b

The constant of proportionality is 3, so the correct option is A.

After a small search on the internet, I've found that this question asks for the constant of proportionality.

Remember that a proportional relation is of the form:

y = k*x

Where k is the constant of proportionality, and x and y are the variables.

Here the relation is:

m = 3*b

Where m and b are the variables, then the remaining coefficient is the constant of proportionality, which is 3.

In this way, we can see that the correct option is A.

Learn more about proportional relationships:

https://brainly.com/question/12242745

#SPJ1

Answer:

I can explain how to complete each of the steps you have provided.

1. Draw a point at (1, -2)

This is a simple step. Just mark a dot on your paper at the coordinates (1, -2).

2.

Draw an 8-unit long radius

Using your compass, set the radius to 8 units. Place the compass on the point you drew in step 1 and draw a circle around it, making sure that the radius is 8 units long.

3. Using a compass

Draw a circle with your point from step one as your center and the point from step two as the side: This step is already completed in step 2.

4. Using a protractor draw a 70 degree arc

Place your protractor on the center of the circle (the point you drew in step 1) and draw a 70 degree arc on the circle.

5. Draw a central angle which intercepts your arc

Use a straight edge to draw a line from the center of the circle to each endpoint of the arc you drew in step 4. This creates a central angle, which is an angle whose vertex is at the center of the circle and whose sides intercept the circle.

6. Draw an inscribed angle which intercepts a 40 degree arc

Use a straight edge to draw a line from one endpoint of the 70 degree arc to the other endpoint. Then, draw a perpendicular bisector of this line, which intersects the center of the circle. This creates a 40 degree arc on the circle. Draw a line from the center of the circle to one endpoint of the 40 degree arc, and draw a line from that endpoint to the other endpoint of the 40 degree arc. This creates an inscribed angle, which is an angle whose vertex is on the circle and whose sides intercept the circle.

7. Draw a tangent line

Choose a point on the circle that is not on the 70 degree arc. Draw a line from that point tangent to the circle.

8. Draw a secant line

Choose two points on the circle that are not on the 70 degree arc. Draw a line through those points, which intersects the circle at two points.

9. Equation of your circle

The equation of a circle with center (a,b) and radius r is (x-a)^2 + (y-b)^2 = r^2. Using the coordinates of the center from step 1 and the radius from step 2, the equation of the circle is (x-1)^2 + (y+2)^2 = 64.

The number of years it would take is approximately equal to 53 years.

In Mathematics, a population that increases at a specific period of time represent an exponential growth. This ultimately implies that, a mathematical model for any population that increases by r percent per unit of time is an exponential function of this form:

P(t) = I(1 + r)^t

Where:

By substituting given parameters, we have the following:

96627 = 11211(1 + 0.0418)^t

8.61894567835 = (1.0418)^t

By taking the ln of both sides, we have:

Time, t = ln(8.61894567835)/ln(1.0418)

Time, t = 52.60 ≈ 53 years.

Read more on exponential functions here: brainly.com/question/28246301

#SPJ1

Answer: 2a < 2b

Step-by-step explanation:

We are given a statement:

a < b and b < c, then 2a ____ 2b

We can use simple numbers that make the statement true.

Where,

a = 2

b = 3

c = 4

Now lets plug it in.

2 < 3 and 3 < 4, then 2(2) ____ 2(3)

and lets simplify:

2 < 3 and 3 < 4, then 4 ____ 6

We can see that 4 is less than 6,

so as a is less than b, 2a is less than 2b.

The only thing changing is the coefficient being multiplied by the variables a and b.

Check the picture below.

Make sure your calculator is in Degree mode.

The number of meters from that point on the ocean floor to the wreck is 319.83 meters.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

From the figure,

Tan 13.2° = 75 / x

x = 75/tan 13.2°
x = 75/0.2345                                      

x = 319.829 meters

x = 319.83 meters

Thus,

The distance from the point to the wreck is 319.83 meters.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ2

Answer:

3 3/5 as an improper fraction = 18/5

Answer:

18/5

Step-by-step explanation:

To find the improper fraction change the whole number into a fraction:

3 *5/5 = 15/5 which is the same as 3

then add the remaining 3/5 to the fraction

15/5 + 3/5

= 18/5

Answer:

Subtract c, then divide by m.

Answer:

dy/dx = y - 4x/x - y = x (y/x - 4)/x (1 - y/x) = phi (y/x) therefore dy/dx = y/x - 4/1 - y/x - (A)

Step-by-step explanation:

Answer:

C not sure though

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

V = 12 ⋅ 8.5 ⋅ 4 = 408

W = 408 ⋅ 0.25 = 102

The sorter's error is 91 seconds. This means that the sorter miscalculated the time it would take for the water bottle to travel the length of the belt by 91 seconds.

When anything is referred to as being "long," it refers to its overall length. In other words, it is the larger of the third or upper two dimensions of a geometric object. An example of a shape with two dimensions is a rectangle.

To find out how many seconds it takes for the water bottle to travel the length of the belt, we can use the equation:

distance = rate x time

We know the distance (294 feet) and the rate (7 feet per 6 seconds). Let's solve for time:

294 feet = (7 feet/6 seconds) x time

294 feet x 6 seconds = 7 feet x time

1764 seconds = 7 feet x time

time = 1764 seconds / 7 feet

time = 252 seconds

So it takes 252 seconds for the water bottle to travel the length of the belt.

Now let's calculate the sorter's error:

343 seconds - 252 seconds = 91 seconds

The sorter's error is 91 seconds. This means that the sorter miscalculated the time it would take for the water bottle to travel the length of the belt by 91 seconds.

To know more about length visit:

brainly.com/question/29868754

#SPJ1

Volume = length x width x height:

Volume = 3 x 6 x 2 = 36 cubic inches.

Answer:

36 In.

Step-by-step explanation:

This you simply do 3*6*2 in order to find the volume of a gold bar. The rest of the question is not needed.

Answer: cos4

Step-by-step explanation: 50 meters

B. 50-√3 meters

C. 100 meters

D. 100-√3 meters

40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.

The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."

A. sin 22

B. cos 22

C. tan 22

D. cot 22

She need a interest rate of 5.56%

Your wealth increases more quickly due to compound interest. Due to the fact that you will receive returns on both the money you invest and returns at the conclusion of each compounding period, it causes a sum of money to increase more quickly than with simple interest. As a result, you won't need to save as much money to achieve your objectives.

We are aware that A = P(1+rt), where A represents the Final Investment Value, is the simple interest formula.

P denotes the principal amount to be invested, r the interest rate, and t the number of time periods.

The formula for this issue is t = 18 Years, p = £90,000.

A = £9000 *2 => £18000\sr = ?

Fill in the appropriate values in the formula above to find 18000 = 9000(1+18r).

18r = 2 - 1\sr = 1/18\sr = 0.0555555556

Extend 0.0556

Ratio conversion: r = 0.0556 * 100 = 5.56%

To learn more about  compound interest refer to:

https://brainly.com/question/28020457

#SPJ1

She need a interest rate of 5.56% .Your wealth increases more quickly due to compound interest.

Formula for Monthly Compound Interest. 12 times a year are used to calculate interest that is compounded monthly.

Formula for Quarterly Compounding. Four times a year are used to calculate interest that is compounded quarterly.

Formula for Daily Compound Interest.

Formula for Annual Compound Interest.

We are aware that A = P(1+rt), where A represents the Final Investment Value, is the simple interest formula.

P denotes the principal amount to be invested, r the interest rate, and t the number of time periods.

The formula for this issue is t = 18 Years, p = £90,000.

A = £9000 *2 => £18000\sr =

Fill in the appropriate values in the formula above to find 18000 = 9000(1+18r).

18r = 2 - 1\sr = 1/18\sr

= 0.0555555556

Extend 0.0556

Ratio conversion: r = 0.0556 * 100 = 5.56%

To learn more about  compound interest refer to:

brainly.com/question/28020457

#SPJ1

New co-ordinates

\(\\ \sf\ast\Rrightarrow \dfrac{1}{2}(0,0)\)

\(\\ \sf\ast\Rrightarrow (0,0)\)

It remains unchanged

Step-by-step explanation:

We know the coordinates of origin is (0,0)

Now,

Scale factor=1/2

New coordinate=1/2(0,0)

=(0,0)

The distance traveled by airplane is 180 miles.

The speed of the airplane is 3 miles per minute and the angle of direction from the origin is 51.34°

The airplane landed 100 miles north and 80 miles east from its origin and it flew for one hour.

Then, the total distance traveled by airplane will be:

= 100 miles + 80 miles = 180 miles.

The speed can be defined as the distance traveled by the total time taken.

Speed = distance/time

Speed = 180 miles/ 1 hour

Speed = 180 miles/60 minutes

Speed = 3 miles per minute

The angle of direction from its origin will be:

tan (x) = 100 miles/80 miles

x = tan⁻¹ ( 100/80)

x = tan⁻¹ ( 10/8) =  tan⁻¹ ( 5/4)

x = 51.34°

Learn more about speed here:

brainly.com/question/13943409

#SPJ1

The area of the given figure is 25cm².

Area of rectangle

Area = length x width

Perimeter of rectangle

Perimeter = length + length + width + width

Hence, we have

length = 5cm

width = 5cm

then, by applying the Area of the rectangle, we get

Area = length x width

Area = 5 x 5

      = 25cm²

Hence, The area of the given figure is 25cm².

To learn more about the area of a rectangle from the given link

https://brainly.com/question/25292087

#SPJ13

Answer:

There were 90 questions in the test.

Step-by-step explanation:

He missed 88 questions on the test and scored a 2%. This means that the 88 questions missed correspond to 100% - 2% = 98% of the total number of questions, which is x. So

\(0.98x = 88\)

\(x = \frac{88}{0.98}\)

\(x = 89.8\)

Rounding up

There were 90 questions in the test.

Answer: 30

Step-by-step explanation:

(8+7) x 2

= 15 x 2

= 30

Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​.

Here, we have,

given that,

the LHS is:

sin⁴x-cos⁴x/ sin²x-cos²x

now, we know that,

sin²x+cos²x = 1

and, we know that,

a² - b² = (a+b) (a-b)

so, we get,

sin⁴x-cos⁴x/ sin²x-cos²x

= (sin²x+cos²x) (sin²x-cos²x ) / sin²x-cos²x

=(sin²x+cos²x)

=1

= RHS

Hence, Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​

To learn more about trigonometric relations click :

brainly.com/question/14450671

#SPJ1

Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

The slope of the line is 6.

What is a point on a line?

In geometry, a point is a place. It is completely empty, meaning it has no width, length, or depth. A dot indicates a point. A line is described as a collection of points that stretches in both directions indefinitely.

Given table is

x   12    13    14    15

y   -4     2     8     14

The points on the lines are (12,-4), (13,2), (14,8), (15,14).

The formula of slope of a line that passes through the points (x₁, y₁) and (x₂, y₂) is (y₂ - y₁)/(x₂ - x₁).

Now consider two points (12,-4), (13,2) to find the slope:

m = (2 - (-4))/(13 - 12)

m = (2 + 4)/1

m = 6/1

m = 6

To learn more about slope, click on below link:

https://brainly.com/question/16140473

#SPJ1

Answer:

Step-by-step explanation:

(5-2i) ( 5+2i) = (5^2) - ((2i)^2) = 25 - 4i^2

= 25 - 4(-1) = 25 +4 = 29 + 0i

The Solution is 29 + 0i.

The sum of a real number and an imaginary number is called a complex number. A complex number is usually represented by z and has the form a + ib. Here, both a and b are real numbers. The real part, denoted by Re(z), is represented by the value "a," and the imaginary part, represented by "b," is represented by Im(z). Also known as an imaginary number, ib.

Given Expression (5 – 2i)(5 + 2i)

we know a² - b² = (a - b)(a + b)

(5 – 2i)(5 + 2i) = 5² - (2i)²

= 25 - 4i²

and i² = -1

= 25 - 4(-1)

= 25 + 4 = 29

since the solution has 0i

so the equation is 29 + 0i

where a = 29 and b = 0

Hence, equation is 29 + 0i.

Learn more about complex numbers;

https://brainly.com/question/20566728

#SPJ2

The decimal equivalent of the largest Absolute value, 987654321, is 987,654,321.  the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.

The largest and smallest absolute values using the digits 1 to 9, we need to arrange them in a way that maximizes or minimizes the resulting number. Let's consider the boxes as placeholders for the digits.

To determine the largest absolute value:

We place the digit 9 in the leftmost box, as it is the largest digit among 1 to 9. Then we arrange the remaining digits, 8, 7, 6, 5, 4, 3, 2, and 1, from largest to smallest in the remaining boxes. This gives us the number 987654321, which is the largest possible number using the given digits. Therefore, the largest absolute value is 987654321.

To determine the smallest absolute value:

We place the digit 1 in the leftmost box, as it is the smallest digit among 1 to 9. Then we arrange the remaining digits, 2, 3, 4, 5, 6, 7, 8, and 9, from smallest to largest in the remaining boxes. This gives us the number 123456789, which is the smallest possible number using the given digits. Therefore, the smallest absolute value is 123456789.

To find the decimal equivalent of these numbers, we simply read the digits from left to right. The decimal equivalent of the largest absolute value, 987654321, is 987,654,321. The decimal equivalent of the smallest absolute value, 123456789, is 123,456,789.

Thus, the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.

To know more about  Absolute value.

https://brainly.com/question/24368848

#SPJ8

Top Career Choice: Registered Nurse

Job Description: Registered Nurses (RNs) are responsible for providing and coordinating patient care.

Personal Attributes: Compassionate, Detail-oriented, Patient, Good communication skills, Ability to work under pressure, Physical and emotional stamina

Education: A Bachelor of Science in Nursing (BSN) is the preferred degree for RNs.

Experience: RNs typically gain experience through clinical rotations during their nursing program, as well as through internships or residency programs.

Certification: RNs can earn additional certifications in specialties such as critical care, emergency nursing, or pediatric nursing.

Employment: RNs can work in a variety of settings, including hospitals, clinics, long-term care facilities, and schools.

Making a career choice opens the door to financial security. The earning potential of an occupation is a major consideration for most people when choosing a suitable career. Choosing the right profession means you will be able to have economic security, which is an important factor in our overall well-being.

Full question "Making Connections: Selecting a Career. Apply Your Knowledge" Top Career Choice, Job Description, Personal Attributes, Education, Experience, Certification, Employment, Job Outlook, Earnings, Work Environment, Related Occupations

Read more about career choice

brainly.com/question/2180201

#SPJ1

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

learn more about word problem from

https://brainly.com/question/21405634

#SPJ1

The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1

To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.

Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.

Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.

On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.

Option 1 is correct.

For moresuch questions on equivalent visit:

https://brainly.com/question/2972832

#SPJ8

Answer:

2x^2−x−5

Step-by-step explanation:

(2x^3−11x^2+25 )/x−5

= (2x^3−11x^2+25) /x−5

= [(x−5)(2x^2−x−5)] /x−5

=2x^2−x−5

Step-by-step explanation:

I hope that is useful for u :)