Bryce measured the circumference of a tree trunk. Its circumference was 91 ft. What was the approximate diameter, rounded to the nearest foot?

Answers

Answer 1

Answer: 29 feet.

Step-by-step explanation: The formula for the circumference of a circle is C = π d. In order to calculate the diameter of the tree we will use the same formula and solve for d.

91 = 3.14 x d

In order to solve for d you need to divide both sides for 3.14:

D = 28.98, rounded to the nearest foot is 29 feet.


Related Questions

Which of the following ordered pairs lies on the graph of h(x)=-3x^2?
A. (1,-4)
B. (1,-2)
C. (1,4)

Answers

given, y= -2x^2;

so, when x=1, y= -2((1)^2)= -2

so pair which lie on graph is (x,y) is (1,-2)

Answer:

None

Step-by-step explanation:

We are given that a graph[tex] h(x)=-3x^2[/tex]

We have to find that which pair lie on the given graph.

In order to find the value of ordered pair which lies on the given graph by substituting the value of x=1

If we get h(x)=-4 or -2 or 4 corresponding to x=1 then that pair will be answer.

Substitute x=1 then we get

[tex]h(x)=-3(1)^2=-3[/tex]

The order pair is  (1,-3).

Given options do not match with order pair (1,-3).

Hence, answer is none of the above.

Y=f(x) =2x find f(x) when x=1

Answers

Answer:

y = 2

Step-by-step explanation:

Plug 1 into x

2(1) = 2

write a division equation to represent the repeated subtraction 32 take away 8 is 24 24 take away 8 is16 16 take away 8 is 8/8 take away 8 is 0​

Answers

What this setup essentially represents is “How many 8s can we take away from 32 before hitting 0?” Which in turn can be reframed as “How many 8s fit into 32?” This can be captured in the expression 32 / 8. As we can see from the problem, we can take away 4 8’s before hitting 0, so that gives us the equation 32 / 8 = 4
Final answer:

The repeated subtraction of 8 from 32 until reaching 0 can be represented by the division equation 32 ÷ 8 = 4, showing the number of times 8 is subtracted from 32.

Explanation:

The student is performing repeated subtraction of the same number, which can also be represented by a division equation. The repeated subtraction mentioned:

32 take away 8 is 2424 take away 8 is 1616 take away 8 is 88 take away 8 is 0

Shows that 32 is being subtracted by 8 until it reaches 0, and this process happens four times. Thus, we can convert this series of subtractions into a division equation: 32 ÷ 8 = 4. This equation means that you can subtract 8 from 32 four times before reaching zero, which is equivalent to dividing 32 by 8.

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What is the measure of ∠W, rounded to the nearest degree?

19°
32°
56°
71°

Answers

Answer:

71°

Step-by-step explanation:

This is an isosceles triangle because it has two sides with lengths, hence the angles opposite the equal sides are also equal, that is ∠U = ∠V.

So we can say that:

∠U = ∠V = α

∠W = β

Since the internal angles of a triangle add up to 180 degrees, then:

α + α + β = 180

2α + β = 180

β = 180 - 2α

Using the law of sine:

[tex]\frac{35}{sin\beta} =\frac{30}{sin\alpha} \\ \\ \frac{35}{sin(180 - 2\alpha)} =\frac{30}{sin\alpha} \\ \\ \\ From \ Properties: \\ \\ sin(180-2\alpha)=sin(180)cos2\alpha-sin2\alpha cos(180) \\ \\ = -sin2\alpha(-1)=sin2\alpha \\ \\ Also: \\ \\ sin2\alpha=2sin\alpha cos\alpha[/tex]

Therefore:

[tex]\frac{35}{2sin\alpha cos\alpha} =\frac{30}{sin\alpha} \\ \\ \therefore \frac{35}{60}=cos\alpha \\ \\ \alpha=cos^{-1}(\frac{7}{12})=54.31^{\circ}[/tex]

But we want to know ∠W = β, therefore:

[tex]\beta = 180 - 2\alpha \\ \\ \beta =180-2(54.31)=71.37^{\circ}[/tex]

And rounded to the nearest degree:

∠W = 71°

What is the lowest value of the range of the function shown on the graph! Please help asap

Answers

The lowest value of the range of the function based on the given coordinates is -2.

To determine the lowest value of the range of the function based on the given coordinates, we need to identify the minimum y-value among the points. The y-values are the second coordinates in each pair.

The given coordinates are:

[tex]\[(-4,5), (0,1), (1,0), (3,-2), (4,-1), (5,0)\][/tex]

The minimum y-value is -2, which corresponds to the point (3, -2). Therefore, the lowest value of the range of the function is -2.

Among the provided options, -2 is the correct answer. The other options (negative infinity, 0, 3) are not supported by the given data. The function attains its lowest value at the point (3, -2), and no lower value is evident from the provided coordinates.

In summary, the lowest value of the range of the function based on the given coordinates is -2.

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Find a•b. a=<2,4>, b= <2,5>

Answers

Answer:

a • b = 24

Step-by-step explanation:

[tex]<a,\ b>\circ<c,\ d>=ac+bd\\\\a=<2,\ 4>,\ b=<2,\ 5>\\\\a\circ b=<2,\ 4>\circ<2,\ 5>=(2)(2)+(4)(5)=4+20=24[/tex]

[PLEASE IM BEING TIMED] Which of the following determined that laws enforcing the racial segregation of schools were unconstitutional?

A. Brown v. Board of Education
B. the Southern Manifesto
C. Plessy v. Ferguson
D. the Arkansas public schools

Answers

Answer:

your answer would be A. Brown v. Board of Education

Step-by-step explanation:

Answer:

The correct answer is the option A: Brown v. Board of Education.

Step-by-step explanation:

Brown v. Board of Education was a landmark decision by the Supreme Court of the United States in the year 1954, whose main purpose was to prohibited state laws, that were in favor of the racial segregation of schools, declaring them unconstitutional, due to the fact that these segregated schools violated the ''Equal Protection Clause'' of the Fourteenth Amendment of the United States' Constitution.

It all began in 1951 when the Brown family wanted to take her daughter to a school near their home, but the board education of the school refused and said that they must take her to a segregated black elementary school further away. Then, the family and other twelve families in similar situations initiated a class action lawsuit in U. S. federal court against the school's board of education located in Topeka, Kansas.

MAX POINTS AND BRAINLIEST !!

Write a quadratic equation that can be solved by factoring. Solve your equation and show and explain all your work.

please dont just copy from something you found online cause i'll report u :l

Answers

Answer:

x^2+2x+2

Step-by-step explanation:

(x+1)(x+1) or (x+1)^2

x = -1

Answer:

Step-by-step explanation:

x²+8x+15 is the quadratic equation and it can be solved by factoring. By factoring the answer will be (x+3) (x+5) and if it is expanded, the answer will be x²+8x+15. First, you should factorize the equation. Then, find the two numbers that if they are added together the sum will 8 and if they are multiplied the product is 15.

Hope this helps!

What are the characteristics of trapezoid ?

Answers

Answer:

"A trapezoid is a quadrilateral with two parallel sides and, usually, two nonparallel sides."

Step-by-step explanation:

"A trapezoid is a quadrilateral with two parallel sides and, usually, two nonparallel sides. A quadrilateral is a geometric shape that has four sides. Some specialized types of trapezoid are the parallelogram and the isosceles trapezoid.

The two parallel sides of a trapezoid are its bases while the legs are the nonparallel sides. Geometric analysis of a trapezoid includes calculating the height, median and area. The height of a trapezoid is a line segment that runs perpendicular to the bases. The median, or mid-segment, is a line that is parallel to the bases and connects the midpoints of each leg. The area is calculated with a formula using the lengths of each base and the height.

A parallelogram is usually defined as a trapezoid, although it has two pairs of parallel sides instead of just one. An isosceles trapezoid has congruent base angles and equal leg lengths."

A trapezoid is a four-sided polygon with one pair of parallel sides. Its key characteristics include parallel sides, supplementary adjacent angles, and specific area calculation. The median connects the midpoints of the legs, with a length that averages the bases.

A trapezoid is a four-sided polygon, also known as a quadrilateral, with one pair of opposite sides parallel. These parallel sides are known as the bases of the trapezoid, while the other two sides are called the legs.

Key Characteristics:

Parallel Sides: The most defining feature of a trapezoid is that it has exactly one pair of parallel sides.Angle Properties: The angles adjacent to each leg are supplementary, meaning they add up to 180 degrees.Area Calculation: The area of a trapezoid can be calculated using the formula A = 1/2 × (Base1 + Base2) × Height, where Base1 and Base2 are the lengths of the parallel sides, and Height is the perpendicular distance between them.Median: The median (or midsegment) of a trapezoid is a line segment that connects the midpoints of the legs, and its length is the average of the lengths of the bases.

These characteristics are essential for identifying and working with trapezoids, especially in various mathematical problems and geometric constructions.

Which table of values is correct for the equation y = 5(2)x

Answers

Answer:

x             y

0             5

1              10

2              20

Step-by-step explanation:

Given the equation:  y = 5(2)       .....[1]

Here, x is the input variable and y is the output variable.

For x =0

Substitute in equation [1]; we have;

y = 5(2) = 5 x 1 = 5

For x = 1

Substitute in equation [1]; we have;

y = 5(2)*1  = 5 x 2= 10

For x =2

Substitute in equation [1]; we have;

y = 5(2)*2 = 5 x 4 = 20

Therefore, the table values which is correct for the equation   is;

x             y

0             5

1              10

2              20

consider the graph of f(x) = x is shifted up 8 units, what would be the equation of the new graph?

Answers

Answer:

f(x) = x + 8

Step-by-step explanation:

this is the answer because the equation is y = mx + k. In this formula the k value represents the number of times the graph goes up and down. When a graph moves up 8 units. The k value becomes +8. Hence the answer is y = x + 8.

The table shows the number of minutes spent doing different exercises. The mean spent exercising was 18.2 minutes. How many minutes were spent doing sit ups? (URGENT HELP) (ANSWER 4/11/19)

Answers

Answer:

15

Step-by-step explanation:

Call the unknown time x.

The mean is the sum of the numbers divided by the number of numbers.

There are 5 numbers.

(8 + 10 + 38 + x + 20)/5 = 18.2

(x + 76)/5 = 18.2

x + 76 = 91

x = 15

Answer:

Step-by-step explanation:

Add all the scores you do know

8  + 10 + 38 + 20 = 76

Now put in an ex for the situps.

76 + x

There are 5 subjects

(76 + x) /5 = 18.2

The average was 18.2

Multiply both sides by 5

5*(76 + x ) / 5 = 18.2 * 5      

Cancel the left combine the right.

76 + x  = 91

Subtract 76 from both sides

76 - 76 + x = 91 - 76

x = 15

                       

Manager A earns $15 per hour and receives a $50 bonus. The graph shows the earnings of Manager B

Answers

Answer:

manger b gets mor money

pleaee give branly

Step-by-step explanation:

Answer:B

Step-by-step explanation:

I need help
Por favor

Answers

Precio original = x

Precio después de la reducción = 35

Reducción = 25%

x * (25/100) = 35
x = 35 * (100/25)
x = 140

Prexio original = 140

Which situation is best modeled by the equation 9+=16 9 + x = 16 ?

Answers

This is the all question?

Answer:

D.) You pay $9  for a burger and some amount for dessert for a              total of $16.

 

 Bottom Right

if jenkins had 254 to spend,then bought 9 t-shirts and had 29 remaining,how much was each shirt? assuming that each shirt costs the same ​

Answers

Answer:

each shirt costs $25

Step-by-step explanation:

we can make an equation using x as the cost of each shirt. since 254 was the total, they will=254 together , and since we have 9 shirts, its 9x. we can use this info to create the equation 9x+29=254. we subtract 29 on each side to get 9x=225. we then divide 9 on both sides to get x=25. so each shirt costs $25

Brainliest plzzz

30000 equals how many ones

Answers

Final answer:

The number 30,000 is made up of 30,000 individual ones. This basic mathematical concept helps understand the scale of numbers and aid in quick approximations. It can be compared to estimating powers of 10 for mental calculations.

Explanation:

The question '30000 equals how many ones' can be interpreted as asking how many single units there are in 30,000. This is a basic math concept dealing with place value and integer understanding. Each individual unit is a 'one', and therefore, in 30,000, there are 30,000 of these individual units, each one contributing to the total value of the number. In other words, 30,000 is comprised of 30,000 ones.

To relate this to practical applications, consider the example where the square root of 10 is roughly estimated as 3, because 3³ (which is 3 x 3 x 3) equals 27, which is near to 10² (100), giving us an approximation that is useful for mental calculations. Similarly, the basic concept of powers of 10 can be applied here, with 10³ being 1,000, hence 30 x 10³ being 30,000. So, when you're working with large numbers like 30,000, knowing that it is made up of 30,000 ones can help you understand its scale and make quick approximations in everyday calculations.

What is the solution

Answers

Answer:

Step-by-step explanation:

In 2005, there were 12,300 students at college A, with a projected enrollment increase of 500 students per year. In the same year there were 18,550 students at college B with a projected enrollment decline of 750 students per year. According to these projections, when will the colleges have the same enrollment? What will the enrollment in each college at that time?

Answers

Answer: 5 years

              14,800 students enrolled

Step-by-step explanation:

Let x represent the number of years and

Let y represent the number of students enrolled

College A: y = 12,300 + 500x

College B: y = 18,550 - 750x

Use substitution Method to solve:

12,300 + 500x = 18,550 - 750x

            +750x                +750x

12,300 + 1250x = 18,550

-12,300               -12,300

              1250x = 6250

                      x = 5

Input x = 5 into one of the equations to solve for y.

y = 12,300 + 500x

  = 12,300 + 500(5)

  = 12,300 + 2500

  = 14,800

find all the zeros and write a linear factorization of g(x)=x^4-8x^3+27x^2-50x+50 given that 1+2i is a zero

Answers

Answer:

g(x)= (x-(1+2i)) * (x-(1-2i)) * (x-(3-i)) * (x-(3+i))

Please see attached image

Step-by-step explanation:

We can easily solve this equation by using a technical solver or a programming language such as Octave.

The linear factorization of the equation can be obtained directly by finding the zeros of g(x)

Please see attached images for the answer to your problem

g(x)= (x-(1+2i)) * (x-(1-2i)) * (x-(3-i)) * (x-(3+i))

505.45 55% of what amount​

Answers

Answer: 919

Step-by-step explanation: I set up a cross multiplication equation. I set 55 over 100 equal to 505.45 over X. I cross multiplied and did 505.45 times 100, which is 50,545. I then did 50,545 divided by 55 to get the answer of 919.

Help me please and thank you

Answers

Answer:

The answer to this problem is 32

Step-by-step explanation:

How to get this answer is u divide the base by the area of meters. so 276/12=32. Hope this helps and i hope its right!

Enjoy Brainly,

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Put it into a calculator. The method is correct. The answer is 23

471.9 is 65% of what amount​

Answers

471.9=65% × x

671.9/65 = x

x= 10.336923077

Check! Proof!

10.336923077×65%

=671.9

Answers

10.336923077

Help me!!!!!! Please

Answers

Answer:

2 1/3 - -3 1/4 = 2 1/3 + 3 1/4 = 5 7/12

-1.25*-3 1/4 = 4.0625

Step-by-step explanation:

The greatest difference will be two numbers which subtracted give the largest value.

2 1/3 - -3 1/4 = 2 1/3 + 3 1/4 = 5 7/12

This is the greatest value because it is the greatest number and the least number.

The greatest product will be -1.25 and -3 1/4 since both numbers are negative they give a positive solution.

-1.25*-3 1/4 = 4.0625

Leon is helping his baby sister Daphne eat her dinner. There are 121212 peas left in Daphne's bowl and 777 peas squished in her hair

Answers

Answer:

Step-by-step explanation:

12:7 I'm pretty sure thats right and if its not then try 7:12

How do mathematical graphs help us better understand our world

Answers

Answer:

because they help us better analyze data

Step-by-step explanation:

we can see a lot of data on one small thing such as a graph, so we can easily graph data from many years on one graph

Final answer:

Graphs in mathematics help us visually represent equations and display data, allowing us to understand patterns, trends, and relationships between variables.

Explanation:

Graphs are an important tool in mathematics as they help us better understand our world by visually representing equations and displaying data. Graphs can show the relationship between different variables, such as in a line graph where one variable is plotted on the horizontal axis and another on the vertical axis. They can also represent data using bar graphs or pie graphs, which help us compare and interpret numerical information.

For example, if we want to analyze the temperature changes throughout a year, we can plot the temperature on the vertical axis and the months on the horizontal axis. By connecting the data points, we can see patterns and trends, such as variations in temperature during different seasons.

In addition, graphs allow us to make predictions and draw conclusions based on the data presented. By analyzing the shape and slope of a graph, we can determine the rate of change, identify maximum and minimum values, and make predictions about future outcomes.

What is the sine equation?

Answers

I believe it’s just:
y=SinX

The amplitude is one so therefore it would be y=(1)Sin

And then the frequency is one because from 0 to 540, it goes through a full wavelength once. y=(1)Sin(1)X

You don’t write the one’s, so that’s why I believe that it would be y=SinX

Definitely get a second opinion though, I don’t want to tell you the wrong answer!

The number 8 is a perfect 1. Square and cube 2. Cube 3. Square

Answers

Answer:

2. Cube

Step-by-step explanation:

[tex]8=2\cdot2\cdot2=2^3\\\\\text{It's a perfect cube}[/tex]

I need help please???

Answers

Answer:

x < 8

Step-by-step explanation:

Given

x + 4 < 12

Isolate x on the left side by subtracting 4 from both sides

x < 8 ← is the solution

Answer:

x< 8

Step-by-step explanation:

x+4<12

x+4<12

 -4  -4

x<8

The directed line segment from L to N has endpoints L(–6, 2) and N(5, –3). What are the x- and y-coordinates of point M, which partitions the directed line segment into the ratio 2:5?

x =

y =

Answers

ANSWER

[tex]x = \frac{ - 20}{7}[/tex]

[tex]y=\frac{ 4}{7}[/tex]

EXPLANATION

The x and y coordinates of the point that partition

[tex](x_1,y_1)[/tex]

and

[tex](x_2,y_2)[/tex]

in the ratio m:n is given by:

[tex]x = \frac{mx_{2} + nx_{1}}{m + n} [/tex]

and

[tex]y= \frac{my_{2} + ny_{1}}{m + n} [/tex]

The directed line segment from L to N has endpoints L(–6, 2) and N(5, –3).

We substitute the given points,

[tex]x_1=-6[/tex]

[tex]y_1=2[/tex]

[tex]x_2=5[/tex]

[tex]y_2=-3[/tex]

[tex]m = 2[/tex]

[tex]n = 5[/tex]

This implies that;

[tex]x = \frac{2(5)+ 5( - 6)}{2 + 5} [/tex]

[tex]x = \frac{10 - 30}{2 + 5} [/tex]

[tex]x = \frac{ - 20}{7} [/tex]

[tex]y = \frac{2( - 3)+ 5( 2)}{2 + 5} [/tex]

[tex]y = \frac{ - 6+ 10}{2 + 5} [/tex]

[tex]y=\frac{ 4}{7}[/tex]

Answer:

x =  \frac{ - 20}{7}

y=\frac{ 4}{7}

Step-by-step explanation:

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