The following pie chart shows the number of rabbits, sheep, cattle, pigs on a farm
sheep
700
cattle
300
Pig
500
a. How many animals are on the farm? b.What represents the number of sheep on the farm
c. what percentage of the total number of animals are rabbits
d. Calculate the angle that represents number of pigs​

Answer:

B. 16.5

Step-by-step explanation:

Here we can use the opposite and the adjacent from the angle with measurement 20, or tan.

tan theta = opposite / adjacent

Substitute values.

tan 20 = 6 / x

Multiply by x.

x * tan 20 = 6

Divide by tan 20.

x = 6 / tan 20

Evaluate tan 20.

x = 6 / 0.36397023

Divide.

x = 16.48486451

Rounded to the nearest tenth, that makes your answer

B, 16.5

Answer:

Step-by-step explanation:

The thousand mark is the 4th number when going from right to left. So it would be the {6},976. When it comes to rounding, you go "5 and above, give it a shove, 4 and below, let it go. 6,976 rounded to the nearest thousand is 7,000,  3,983 rounded to the nearest thousand is 4,000,  13,560 rounded is 14,000.

7,000 + 4,000+ 14,000 = 25,000

The equation is \(182 - 117 + 72 - 15 = 122\)

The expression is given as:

\(182 - 117 + 72 - 15\)

Rewrite the above expression as an equation:

\(182 - 117 + 72 - 15 = 182 - 117 + 72 - 15\)

Evaluate the expression on the right-hand side

\(182 - 117 + 72 - 15 = 122\)

Hence, the equation is \(182 - 117 + 72 - 15 = 122\)

Read more about equations at:

brainly.com/question/2972832

Answer:

D

Step-by-step explanation:

because when x = -2 on the graph the y is -2 (-2,-2)

when the x values is 0 the y value is 1 (0,1)

and when x is 1 the y value is 2. (1,2)

hope this helps. have a good day

Using the given information, the total distance travelled by the golf ball is 288 m

From the question, we are to calculate the total distance travelled by the golf ball

The distance travelled by the golf ball can be calculated by using the formula,

Distance = Speed × Time

From the given information,

The golf ball rolls at a speed of 8 m/s for 12 seconds

Thus,

The distance travelled at this time is

Distance = 8 m/s × 12 s

Distance = 96 m

Also,

Mandy hits the golf ball and it rolls for 16 seconds at a speed of 12 m/s

The distance travelled at this time is

Distance = 12 m/s × 16 s

Distance = 192 m

The total distance travelled by the golf ball is 96 m + 192 m

=

Hence, the total distance travelled by the golf ball is 288 m

Learn more on Calculating total distance here: https://brainly.com/question/11607177

#SPJ1

To achieve a comparable rate of return, Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly on his ordinary annuity.

To find the interest rate, compounded monthly, that Hank would need to earn on an ordinary annuity for a comparable rate of return, we can use the present value formula for an ordinary annuity.

First, let's calculate the present value of Hank's payments. He made payments of $219 per month for 30 years, so the total payments amount to $219 * 12 * 30 = $78840.

Now, we need to find the interest rate that would make this present value equal to the selling price of the property, which is $195,258.

Using the formula for the present value of an ordinary annuity, we have:

PV = P * (1 - (1+r)\(^{(-n)})\)/r,
where PV is the present value, P is the payment per period, r is the interest rate per period, and n is the number of periods.

Plugging in the values we have, we get:
$78840 = $219 * (1 - (1+r)\({(-360)}\))/r.

Solving this equation for r, we find that Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly, in order to have a comparable rate of return.

For more questions on interest rates

https://brainly.com/question/31261623

#SPJ8

Answer:

Easy, all you have to do is add em all together 80+70=150 and 2+6=8 so 150+8=158

Step-by-step explanation:

Answer:

\(x = 3\ or\ x = 7\)

Step-by-step explanation:

Given

\(x^{2}-8x+14=2x-7\)

Required

Solve

Equate to 0

\(x^{2}-8x-2x+14+7=0\)

\(x^{2}-10x+21=0\)

Expand

\(x^{2}-7x-3x+21=0\)

Factorize

\(x(x-7)-3(x-7)=0\)

Factor out x - 7

\((x-3)(x-7)=0\)

Split

\(x - 3 = 0\ \ x - 7 = 0\)

Solve

\(x = 3\ or\ x = 7\)

Answer

Calculate Volume ... the length and mass measurements all had 3 significant figures.

Step-by-step explanation:

G O O G L E

Answer:

t = -1, 2

Step-by-step explanation:

Step 1: Define

h(t) = -5t² + 5t + 10

Step 2: Factor

h(t) = -5(t² - t - 2)

h(t) = -5(t - 2)(t + 1)

Step 3: Find roots

0 = -5(t - 2)(t + 1)

0 = (t - 2)(t + 1)

t - 2 = 0

t = 2

t + 1 = 0

t = -1

In a coordinate plane, a vertical line is a straight, upward- and downward-pointing line that is perpendicular to the y-axis. The point C is V: x = 3.

A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.

In a coordinate plane, a vertical line is a straight, upward- and downward-pointing line that is perpendicular to the y-axis. The point C is V: x = 3.

To know more about coordinates  visit:

https://brainly.com/question/27749090

#SPJ1

The average velocity over the interval [0.999, 1.0] is -1.95 / 0.001 = -1950 m/s, and the average velocity over the interval [1.0, 1.001] is 0.04 / 0.001 = 40 m/s.

What is average velocity?

The average velocity is a measure of the average speed of an object over a certain period of time. It is defined as the total displacement of the object divided by the total time elapsed.

In mathematical terms, average velocity (Vavg) can be expressed as follows:

Vavg = Δs / Δt,

where Δs is the change in position (displacement) and Δt is the change in time.

To find the average velocity over an interval, we need to find the displacement of the ball over that interval and divide it by the time elapsed.

First, let's find the displacement of the ball over the interval [0.999, 1.0]. The initial height of the ball at t = 0.999 is s(0.999) = -5(0.999)^2 + 534 = 532.95. The final height of the ball at t = 1.0 is s(1.0) = -5(1.0)^2 + 534 = 531.0. The displacement over the interval [0.999, 1.0] is the final height minus the initial height, or 531.0 - 532.95 = -1.95 meters.

Next, let's find the displacement of the ball over the interval [1.0, 1.001]. The initial height of the ball at t = 1.0 is s(1.0) = 531.0. The final height of the ball at t = 1.001 is s(1.001) = -5(1.001)^2 + 534 = 531.04. The displacement over the interval [1.0, 1.001] is the final height minus the initial height, or 531.04 - 531.0 = 0.04 meters.

To find the average velocity, we need to divide the displacement over each interval by the time elapsed. Over the interval [0.999, 1.0], the elapsed time is 1.0 - 0.999 = 0.001 seconds. Over the interval [1.0, 1.001], the elapsed time is 1.001 - 1.0 = 0.001 seconds. So, the average velocity over the interval [0.999, 1.0] is -1.95 / 0.001 = -1950 m/s, and the average velocity over the interval [1.0, 1.001] is 0.04 / 0.001 = 40 m/s.

Finally, the instantaneous velocity at time t = 1.0 can be approximated by the average velocity over the interval that includes t = 1.0. In this case, the average velocity over the interval [0.999, 1.0] provides a better approximation of the instantaneous velocity at t = 1.0, which is -1950 m/s. Rounding to the nearest integer, the instantaneous velocity at t = 1.0 is approximately -1950 m/s.

Learn more about average velocity click here:

https://brainly.com/question/24824545

#SPJ1

The two relations to change the units of temperatueres are:

a) C = (5/9)*(F - 32°)

b) F = (9/5)*C + 32°

We start knowing that:

32°F = 0°C

212°F = 100°C

Taking the difference we can get the relation:

212°F - 32°F = 100°C - 0°C

180°F = 100°C

1.8°F = 1°C

(9/5)*F = 1°C

Then the relation to go from Farhenheit to Celcius is:

C = (5/9)*(F - 32°)

b) To get the other relation, we just need isolate F in the above one, so we get:

C = (5/9)*(F - 32°)

(9/5)*C = F - 32°

(9/5)*C + 32° = F

Then the other relation is:

F = (9/5)*C + 32°

If you want to learn more about temperature:

https://brainly.com/question/25677592

#SPJ1

Answer:

Y = -½x + 3/2

Y = -3x + 5

Y = 1/4x - 3¼

Step-by-step explanation:

Parallel implies they have the same gradient

Perpendicular implies the gradient is a negative reciprocal of the other.

Answer:

a)

The table:

b)

c)

By definition of proportion, the value of x is,

⇒ x = 80

We have to given that;

In a triangle,

Perpendicular = 60

Now, By Pythagoras theorem we get;

60² = 36² + y²

3600 = 1296 + y²

y² = 3600 - 1296

y² = 2304

y = 48

Hence, By definition of proportion;

⇒ x / 48 = 60 / 36

⇒ x = 80

Thus, By definition of proportion, the value of x is,

⇒ x = 80

Learn more about the proportion visit:

https://brainly.com/question/1496357

#SPJ1

Area of Hexagon having six sides = \(\frac{3\sqrt{3}s^{2} }{2}\)

Hexagons are polygons with six sides and six angles.

Six equilateral triangles make up a regular hexagon, which has six equal sides and six angles. Whether you're dealing with an irregular hexagon or a standard hexagon, there are numerous approaches to figure out the area of a hexagon.

The area of hexagon formula can be calculated in a number of different ways. The various techniques primarily depend on the hexagon's spitting motion.

It can be split into two triangles and one rectangle, or six equilateral triangles. We shall examine numerous approaches to calculating the hexagon's surface area in this post.

According to the given information

Area of Hexagon having six sides = \(\frac{3\sqrt{3}s^{2} }{2}\)

To know more about Area of Hexagon

https://brainly.com/question/22556849

#SPJ1

Answer:

this is the correct answer happy

The statement about the function is: "The function is decreasing for all real values of x where x < -4." D.

The given information tells us that the graph represents a downward-opening parabola.

The vertex of the parabola is located at (-4, 4) indicates that this point is the highest point on the graph.

As we move to the left of the vertex, the function values decrease, indicating a decreasing trend.

Moreover, the graph passes through the point (-6, 0), which lies to the left of the vertex.

This confirms that the function is decreasing for all real values of x less than -4, including x < -6.

On the other hand, the graph also passes through the point (-2, 0), which lies to the right of the vertex.

This does not impact the conclusion that the function is decreasing for x < -4, as the graph's behavior to the right of the vertex is not relevant to this particular statement.

Based on the given information and the properties of the downward-opening parabola, we can conclude that the function is decreasing for all real values of x where x < -4.

For similar questions on function

https://brainly.com/question/25638609

#SPJ11

Answer:

The answer is 16 because

Step-by-step explanation:

3(6 - 8)² + 8÷2 = 3(-2)² + 8÷2

        = 3 * 4 + 8÷2

        = 3 * 4 + 4

        = 12 + 4

        = 16

The slope which shows  the cost per guest is $35 per guest

The given cost for 50 guests is $2150.

The cost for 75 guests is $3025.

It can also be represented as:

(Guest, Cost) =(50, $2150) & (75, $3025)

The slope can now be calculated as

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (50, $2150) & (75, $3025)

Substituting the given values in the equation as follows:

Slope = (3025 - 2150)/(75 - 50)

Slope = 35

Hence, the slope is $35 per guest.

To know more on Slope click:

https://brainly.com/question/29481191

#SPJ1

The revenue function is the sum of the cost and profit functions

The total amount of revenue on Sunday is $59.17

The function for the number of roses is given as:

\(N(d) = 6d + 25\)

The price per rose is given as:

\(P(d) = 0.02d^2 - 0.04d + 0.49\)

On Sunday, the value of d is 6.

So, we start by calculating N(6) and P(6)

\(N(d) = 6d + 25\)

\(N(6)= 6 * 6 + 25\)

\(N(6)= 61\)

\(P(d) = 0.02d^2 - 0.04d + 0.49\)

\(P(6) = 0.02 * 6^2 - 0.04 * 6 + 0.49\)

\(P(6) = 0.97\)

The total amount of revenue is then calculated as:

\(R(d) = N(d) * P(d)\)

Substitute 6 for d

\(R(6) = N(6) * P(6)\)

So, we have:

\(R(6) = 61 * 0.97\)

\(R(6) = 59.17\)

Hence, the total amount of revenue is $59.17

Read more about revenue functions at:

https://brainly.com/question/19104371

First we turn the 17.2 km into mm. To do that we turn it into 17,200 m then into 1,720,000 cm then into 17,200,000 mm. Then we just divide 17.2 million by 86 so 17,200,000÷86=200,000. so we know that the scale of the map is 1:200,000. Also pls mark as brainliest answer thx.

The height of the building is approximately 227 feet.

In the given question, a man wants to measure the height of a nearby building. He places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building.

The total length of the building's shadow is 162 ft, and the pole casts a shadow that is 5.5 ft long. We have to determine the height of the building.The given situation can be explained with the help of a diagram.

As shown in the figure above, let AB be the building and CD be the 7 ft pole. The height of the building is represented by the line segment AE, which is to be determined. Let the length of the shadow of the pole be CD and that of the building be BD.

Therefore, the length of the total shadow will be BC or CD + BD.According to the question, the shadow of the pole is exactly covered by the shadow of the building. This implies that the two triangles AEF and CDF are similar. Hence, the corresponding sides are proportional. Therefore, we have:AE/EF = CD/DF

On substituting the values from the given data, we get:

AE/(EF + 5.5) = 7/5.5.... (1)

Similarly, we can write from the given data:

BD/DF = 162/5.5.... (2)

From equations (1) and (2), we can write:

AE/(EF + 5.5) = BD/DF => AE/(EF + 5.5) = 162/5.5.... (3)

On solving the above equation for AE, we get:

AE = (7/5.5) × (162/5.5 - 5.5)≈ 226.6 ft

Therefore, the height of the building is approximately 227 feet.

For more such questions on height, click on:

https://brainly.com/question/28122539

#SPJ8

Answer: 1/15

Step-by-step explanation:

4/5 = 1/5 leftover

1/5 3 people

1/15 (5x3)

Sure, I'd be happy to help you with this problem!

Given that the ratio of boys to girls in the school is 4:3, we can say that for every 4 boys, there are 3 girls.

Let's start by finding the total number of students in the school, using the information that there are 18 girls.

If 3 girls represent a part of the whole, then we can find the total number of parts by dividing the total number of girls by 3:

18 girls ÷ 3 = 6 parts

So, there are 6 parts in the whole.

Now, since there are 4 boys for every 3 girls, we know that for every 7 parts (4 boys + 3 girls), there are 4 boys.

To find the total number of boys, we need to figure out how many groups of 7 parts there are in the whole.

6 parts ÷ 7 = 0 with a remainder of 6

This tells us that there are 0 groups of 7 parts in the whole, with 6 parts left over.

Since we know that for every 7 parts there are 4 boys, we can find the number of boys in the remaining 6 parts by multiplying 4 by the fraction of 6/7:

4 boys × 6/7 = 24/7 boys

This tells us that there are 24/7 boys in the remaining 6 parts.

To find the total number of boys in the school, we need to add the number of boys in the groups of 7 parts and the number of boys in the remaining 6 parts:

0 groups of 7 parts × 4 boys per group = 0 boys

6 parts × 4 boys per 7 parts = 24/7 boys

Total number of boys = 0 boys + 24/7 boys = 24/7 boys

So, there are 24/7 boys in the school. We can simplify this fraction by dividing both the numerator and the denominator by 3:

24/7 ÷ 3/3 = 8/7 boys

Therefore, there are 8/7 boys in the school, which is approximately 1.14 boys.

However, since we cannot have a fraction of a person, we can round this number to the nearest whole number, which is 1.

Therefore, there is 1 boy in the school for every 3 girls, making a total of:

1 boy × 18 girls = 18 boys

So, there are 18 boys in the school.

Answer:
\(3x-2+\frac{5}{x}\)

Step-by-step explanation:

To divide the polynomial (9x^3 - 6x^2 + 15x) by the monomial 3x^2, we can write it as:

(9x^3 - 6x^2 + 15x) ÷ (3x^2)

To simplify the division, we divide each term of the polynomial by 3x^2:

(9x^3 ÷ 3x^2) - (6x^2 ÷ 3x^2) + (15x ÷ 3x^2)

To divide monomials with the same base, we subtract the exponents. So:

9x^3 ÷ 3x^2 = 9/3 * (x^3/x^2) = 3x^(3-2) = 3x

(-6x^2) ÷ (3x^2) = -6/3 * (x^2/x^2) = -2

15x ÷ 3x^2 = 15/3 * (x/x^2) = 5/x

Putting it all together, we have:

(9x^3 - 6x^2 + 15x) ÷ (3x^2) = 3x - 2 + 5/x

Therefore, the division of (9x^3 - 6x^2 + 15x) by 3x^2 is 3x - 2 + 5/x.

The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

For more questions on graph:

https://brainly.com/question/19040584

#SPJ8

Answer:

2

Step-by-step explanation: