Mathematics High School

what is area


to count the inside of a shape

to count the out side of a shape

none of the above

Answers

Answer 1
to count the outside if a shape
Answer 2

Area refers to the amount of space inside a shape and is found by counting the inside of the shape. Therefore, the correct answer is option a.

"To count the inside of a shape": This means that when we calculate the area of a shape, we are determining the amount of space or surface area that is enclosed within the boundaries of that shape. In other words, it's the measurement of the total space covered by the shape, and it doesn't include the outer boundary or perimeter.

"To count the outside of a shape" is not an accurate definition for area. The outside of a shape is typically referred to as the perimeter or the circumference, and it represents the measurement of the boundary or the length of the outline of the shape.

"None of the above" is not the correct choice because the area is indeed about measuring the inside of a shape, as explained in the first option.

In summary, when we calculate the area of a shape, we are quantifying the space enclosed within the shape's boundary, not the space on the outside of it.

Therefore, the correct answer is option a.

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Related Questions

How to estimate the square root of a number that is not a perfect square?

Answers

To estimate the square root of a number that is not a perfect square, you would find the perfect squares that the number is between and you know the square roots of those, so the answer will be somewhere between them. The closer you are to the number below the number you are estimating for, the smaller the decimal (_.1, _.2, etc.) and then it is opposite as you get closer to the number above the number you are estimating for.

please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

We can solve this question with an equation. Knowing that the numbers in the sequence are EVEN, we know that they are two apart. So...

x + (x+2) + (x + 4) + (x + 6) + (x + 8) = 310

Combine like terms and you'll get this:

5x + 20 = 310

Using subtraction of equality:

5x = 290

Using division of equality:

x = 58

NOW, the question isn't asking for the value of x but the value of the 3rd number in the sequence. Go back to the original equation and plug in x to the 3rd number.

the 3rd number = x + 4 = 58 + 4 = 62

Voila! Hope this helps!

Describe how to find linear expressions for the possible dimensions of a rectangular prism with a volume of 8k^3 +26k^2+ 6k.

Answers

8k ^ 3 + 26k ^ 2 + 6k
 For this case, the first thing you should do is rewrite the expression.
 We have then:
 Step 1:
 Take out common factor.
 8k ^ 3 + 26k ^ 2 + 6k
 2k * (4k ^ 2 + 13k + 3)
 Step 2:
 Factor quadratic expression.
 2k * (4k ^ 2 + 13k + 3)
 2k * (4k + 1) * (k + 3)
 Answer:
 to find linear expressions for the possible dimensions of a rectangular we rewrite the expression:
 2k * (4k + 1) * (k + 3)

Which of the following best explains why one graph appears skewed and one graph appears symmetric?



The intervals on the x-axis of the histogram are too large.

The interval on the y-axis of the histogram is too small.

The interval on the x-axis of the histogram is inconsistent.

The interval on the box-and-whisker plot is too small.

Answers

Hello there!

The interval on the X-Axis of the Histogram is inconsistent:

An Histogram is a graphic representation of the frequency of values. It should include all the data range on the x-axis. In this case, the x-Axis should include all intervals from 0 to 24 years, but in the graph the intervals "jump" from 10-14 to 20-24.

This inconsistency causes the difference between the two graphics because the two of them should be skewed to the left, according to the age distribution.  

Answer:

The interval on the X-Axis of the Histogram is inconsistent

Step-by-step explanation:

edge

The sum of three numbers is 12. The first number is the difference of the other two numbers. When you add the other two numbers and subtract 8, the result will be the first number. Find the numbers.

2, 4, 6

2, 5, 5

3, 7, 2

5, 10, -3

Answers

The first group of numbers: 2, 4, 6

helpppppppppppppppppppppppp

Answers

Answer:
1 / 4x

Explanation:
(4x^3) * (2x)^-4 = 4x^3 * 2^-4 * x^-4
                         = (4x^3) / (2^4 * x^4)
                         = (1/4) * (1/x)
                         = 1 / 4x

Hope this helps :)
First we rewrite the expression:
 (4x ^ 3) * (2x) ^ - 4
 Using properties of exponents we have:
 (4x ^ 3) / (2x) ^ 4
 Rewriting:
 (4x ^ 3) / 16x ^ 4
 (x ^ 3) / 4x ^ 4
 (1) / (4x)
 answer:
 An equivalent expression is:
 (1) / (4x)
 option 1

Are elite runners thinner than the average person? Devon thinks that skin thickness of elite runners is thinner than the average person. He compares a data set of elite runners to regular people by looking at the skin thickness. Which statement correctly compares the two groups?
A) The skin thickness of the elite runners varied by about 11 mm.
B) The skin thickness of the average person varied by about 11 mm.
C) The skin thickness of elite runners is on average about 11 mm thinner than that of the average person.
D) The skin thickness of the average person is on average about 11 mm thinner than that of the elite person.

Answers

The answer is C.
I hope it's right!!!!

Answer:

c is the answer

Step-by-step explanation:

Mrs. Smith and her daughter Laura want to learn ballet. The cost of beginning ballet classes for kids is $3,200 per year, and it increases by 2% every year. The cost of beginning ballet classes for adults is $4,800 per year, and it increases by 2.7% per year. Which function can Mrs. Smith use to determine the total cost of their ballet classes, T(x), after x years?

Answers

We will set up two functions to begin with:  C(x) for children and A(x) for adults.  T(x) will be the total, and T(x) = C(x) + A(x).
Since it increases by a percentage every year we will use an exponential function.
C(x) = 3200(1+0.02)ˣ.  This comes from the $3200 for the first year, and 2% increase every year is 0.02.  Add this to 1 because we have all of the first year's cost, 100%, and the additional 2%.
A(x) = 4800(1+0.027)ˣ.  This comes from the $4800 for the first year, and 2.7% increase every year is 0.027.  Add this to 1 because we have 100% of the first year's cost with an additional 2.7%.
T(x) = 3200(1+0.02)ˣ+4800(1+0.027)ˣ=3200(1.02)ˣ+4800(1.027)ˣ

What is the sum of a 6-term geometric series if the first term is 23 and the last term is 1,358,127? 1,395,030 1,461,460 1,527,890?

Answers

The common ratio is (1358127/23)^(1/5) = 9.
The sum of 6 terms is
.. 23*(9^6 -1)/(9 -1) = 1,527,890 . . . . . . . . . . selection 3

Answer:

Last term is 1,527,890.

Step-by-step explanation:

In this question a geometric series has been given  with

first term A = 23

6th term     = 1,358,127

Number of terms n = 6

we have to calculate the sum of this geometric series

we know [tex]T_{n}=a(r)^{n-1}[/tex]

[tex]T_{6}=23.(r)^{6-1}=1358,127[/tex]

[tex]r^{5}=\frac{1358127}{23}=59049[/tex]

[tex]r = 59049^{\frac{1}{5} }[/tex]

r = 9

Now we know the formula to sum a geometric series is

[tex]S=a.\frac{r^{n-1} }{r-1}[/tex]

S = 23 × [tex]\frac{(9^{6-1)} }{(9-1)}[/tex]

S = 23 × [tex]\frac{(531441-1)}{8}[/tex]

S = [tex]\frac{23.(531440)}{8}[/tex] = 23 × 66430

S = 1,527,890

 

Which graph represents the function?

Answers

photomath is good for this type of thing
f(x) is undefined for x = -7. Simplifying it does not change that.

f(x) = (x +7)(x -7)/(x +7)
f(x) = x -7 . . . . . . . . . . . . . . x ≠ -7

The graph will be a line with a slope of 1 and a y-intercept of -7. It will have a "hole" at (-7, -14).

The lower-left selection is appropriate.

A quadrilateral has angles that measure 71°, 74°, 113°, and x°. What is the measure of x?

Answers

The answer would be 360 minus 258 because 71 plus 74 and 113 is 258 and you have to minus that by 360



Bascially for answer 360-258
IT would be 360-258 that is the answer to your question

I need help on how to convert the radian into degrees for 7pi/10 !!

Answers

Each pi has 180° in it. So, if you multiply:
[tex] \frac{7}{10} \pi * \frac{180}{\pi}= 126 [/tex]

We divide by pi to get rid of it because we want the answer in degrees:
So your answer is 126°.

Solve the system of equations using the substitution method.

{4x+5y=7
{y=3x+9



Enter your answers in the boxes.

x=


y=

Answers

        4x+5y=7
         y=3x+9

1)      4x+5(3x+9)=7                 2)        y=3(-2)+9
                                                             y= -6 +9 
         4x+15x+45=7                               y=3                                                     
         19x+45=7
          19x= -38
             x= -2
x is -2 and y is 3

Randy bought a zero coupon bond and a TIPS 5 years ago for $2,500 each. Both had 10 years to maturity. The TIPS's coupon was 2% while the zero coupon bond will be redeemed for $3,000. What should the maximum real value of his bonds be if he tries to sell them today? Select the best answer from the choices provided. $250 $750 $5,250 $5,750

Answers

So, we have that the final value of the zero coupon bond after ten years will be 3000$. The TIPS mature after 10 years, but the interest will be calculated only for 5 years. Each year of interest, the TIPS gains 2%*2500=2*25=50$. Hence the TIPS gains 50$ for each year of interest. Since the interest is not compounding, it will gain 5*50=250$ in value. Hence its total value after ten years is 2500+250=2750$. The total maximum value of the two assets combined is 3000+2750=5750$ and it is attained after 10 years. If one things that money is more important now than in 10 years, the assets could be sold at a lower price; nonetheless their max value never exceeds choice d)=5.750$

One leg of a right triangle measures 8 inches and the hypotenuse 17 inches. determine the length of the other leg.
a. 9 inches
b. 13 inches
c. 15 inches
d. 17 inches

Answers

the length of the other leg is 15 inches

Which of the following data sets represents a positive correlation?



A
B
C

Answers

B as you can see the points go upwards as they go across :) Hope this helps!
B)
It is B) because the y-value is increasing as the x-value is increasing.

The marketing department of a sports supply store wants to estimate the percentage of adults in the town who belong to a gym.

Which statement describes a method that will help the marketing department accurately estimate this percentage?

A)Select the store’s first 20 customers every day for one week, and ask each person whether he or she belongs to a gym. Calculate the percentage of the total who say “yes.”

B)Take a random sample of adults at the local park, and ask each person whether he or she belongs to a gym. Calculate the percentage of the total who say “yes.”

C)Take a random sample of adults in the town, and ask each person whether he or she belongs to a gym. Calculate the percentage of the total who say “yes.

D)Take a random sample of the store’s adult customers, and ask what percentage of their friends belong to a gym. Calculate the mean of the responses.

Answers

A) If you only sample people in a sports supply store, your sample will be biased.  People in a sports supply store are more likely to be people that belong to a gym.
B) While it does not have necessarily the same amount of bias as sampling people in the sports supply store, people that go to a park are generally more likely to be people that exercise or have a gym membership.
C) Taking a random sample of people in town is a good way to get a non-biased sample.  They are not necessarily predisposed to answer your question one way or another.
D) For the same reason as choice A, this is a biased sample.

C is the best choice.

Which of the following statements is always true?

A: All rational numbers are whole numbers.

B: All real numbers are rational numbers.

C: All irrational numbers are real numbers.

D: All square roots are irrational numbers.

Answers

Hi!

The correct answer is B: All real numbers are rational numbers. 

Hope this helps!

Answer:

b

Step-by-step explanation:

took the test got it right

(Please Answer Quickly)
Algebra 2 Question! I will make sure to give a medal and pin the most helpful answer!

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rainbow is the shape of a parabola. The equation for this parabola is y = -x^2 + 36. (Graph of a parabola opening down at the vertex (0,36) crossing the x–axis at (-6,0) and (6,0))
In the distance, an airplane is taking off. As it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. Create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow.
 Analyze the two functions. Answer the following reflection questions in complete sentences. What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in this situation? Why or why not? What are the x- and y-intercepts of the rainbow? Explain what each intercept represents. Is the linear function you created with your table positive or negative? Explain. What are the solutions or solution to the system of equations created? Explain what it or they represent.
Create your own piecewise function with at least two functions. Explain, using complete sentences, the steps for graphing the function. Graph the function by hand or using a graphing software of your choice.


Answers

For an airplane we need to create a function. The airplane flies in straight line so this means that we will have linear function. The airplane starts left of the rainbow. So let's take the following function:
y=x+8

"Create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow."
To find the intersection points we need to solve system of two equations:
[tex]y=- x^{2} +36 \\ y=x+36[/tex]
Solution are two points:
(-1,35) and (0,36)
Now we can create a table
x        -1    0     1    2
f(x)    35    36   37  38    


"What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in this situation? Why or why not?"

The domain represents all possible values that x can have. The range represents all possible values that y can have.
In this example not all values make sense. Rainbow goes above ground and touches it.
Limitations exist if we have fraction, root, logarithm, trigonometric function... We do not have any of these so there are no limitations, so x can have any value.
Domain:  -6≤x≤6   because x can not have smaller values than those at ground touch.
The formula for parabola is:
[tex]y=a x^{2} +b[/tex]
Depending on sign of [tex] x^{2} [/tex] the maximum or minimum value of y is equal to b. All other smaller or greater values are possible.
Range: 0≤y≤36     because y can not have smaller values than those at ground touch.

"What are the x- and y-intercepts of the rainbow? Explain what each intercept represents."
x- and y- intercepts represent points at which function touches x- and y- axis.
To find y- intercept we insert x=0 into equation:
y=0+36
y=36
To find x- intercept we insert y=0
0=-[tex] x^{2} [/tex]+36
[tex] x^{2} =36 \\ x_{1} =-6 \\ x_{2} =6[/tex]

"Is the linear function you created with your table positive or negative? Explain."

Function is positive if it lies above x-axis. Function is negative if it lies below x-axis.
Positive on interval:  x ∈ <-6,∞>
Negative on interval: x ∈ <-∞,-6>
Not defined: x= -6


"What are the solutions or solution to the system of equations created?Explain what it or they represent."

We already found these solutions:
[tex]y=- x^{2} +36 \\ y=x+36[/tex]
Solution are two points:
(-1,35) and (0,36)
These solutions represent points of intersection of linear function and parabola.

"Explain, using complete sentences, the steps for graphing the function."

Step 1) we need to find domain and range
Step 2) we need to find x- and y- intercepts
Step 3) if the function is exponential we find minima and maxima
Step 4) we find at least three values for the function

A sample has a mean of m = 90. if each score in the sample is multiplied by 5, then what is the mean for the new distribution?

Answers

In the sample has a mean of m=90 and each score in the sample is multiply by 5 and you want to calculate the mean for the new distribution, you only have to multiply the mean (m=90) by 5.
 
 Then:
 
 m= 90x5
 m=450
 
 Therefore, the answer is: The mean for the new distribution is 450 (m=450).

Final answer:

When each score in a sample is multiplied by a constant, the mean of the new distribution will also be multiplied by that constant, resulting in a new mean value of 450.

Explanation:

The mean of a sample is a measure of the average value of the data points in that sample.

When each score in a sample is multiplied by a constant, like 5 in this case, the resulting mean of the new distribution will also be multiplied by that constant.

In this scenario, since each score is multiplied by 5, the mean of the new distribution will be 5 times the original mean, giving a new mean of 450.

marion is making trail mix for a group camping trip. she buys 3 pounds of granola for $3 per pound and 0.75 pounds of raisins for $2 a pound. what equation can you use to find the price per pound of the trail mix?

Answers

let
x-------------> pounds of granola-----------> $3 per pound
y-------------> pounds of raisins-----------> $2 per pound
z------------ > price per pounds of the trail mix

we have that
z=3x+2y--------------------- > this is the equation

for x=3 pounds of granola and y=0.75 pounds of raisins
z=3*3+2*0.75=$10.5 of trail mix

It's B on edg. 3(3) + 0.75(2) = (3 + 0.75)x

You earn $10 a week for doing chores, and you have just been paid for completing eight weeks of chores. If you were paid $8 a week doing chores, how many weeks would it take to earn the same amount of money? weeks

Answers

10 weeks, 8 times 10 is 80
It would take 10 weeks.

Find an equation for the circle that has center (−1, 4) and passes through the point (3, −5).

Answers

The correct answer for the equation of the circle with center (-1,4) and passes through point (3,-5) is   [tex](x+1)^2 + (y-4)^2 = 97[/tex].

Given Co-ordinates:

Centre:

(-1,4)

Point of intersection:

(3,-5)

The standard equation of circle with center (h, k) is:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

(h, k) are co-ordinates of center

Given in question:

h= -1

k = 4

Find radius of the circle:

distance between the center(-1,4) and the given point (3, -5).

[tex]r = [\sqrt{(x_{2}- x_{1})^2 + (y_{2}- y_{1})^2 }[/tex]

[tex]r = [\sqrt{((3- (-1))^2 + (-5-4)^2 }[/tex]

[tex]= \sqrt{(4)^2 + (-9)^2 }[/tex]

[tex]= \sqrt{16 + 81}[/tex]

[tex]= \sqrt{97}[/tex]

Now, Equation of circle:

[tex](x-(-1))^2 + (y-4)^2 = (\sqrt{97})^2[/tex]

[tex](x+1)^2 + (y-4)^2 = 97[/tex]

The equation of circle is [tex](x+1)^2 + (y-4)^2 = 97[/tex].

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Final answer:

The equation of the circle with center (-1, 4) and passing through the point (3, -5) is (x + 1)² + (y - 4)² = 97.

Explanation:

The subject of this question is geometry, specifically about the equations of circles. We start by noting that the general equation of a circle is (x-h)² + (y-k)² = r², where (h, k) are the coordinates of the circle's center and r is the radius of the circle.

Here, the center of the circle is at (-1, 4). We don't know the radius yet, but we know that the circle passes through the point (3, -5). The radius is the distance from the center of the circle to any point on the circle. We can find this using the distance formula which is d = sqrt[(x₂ - x₁)² + (y₂ - y₁)²].

Substituting the given points into the distance formula, we get: r = sqrt[(3 - (-1))² + (-5 - 4)²] which simplifies to r = sqrt[(4)² + (-9)²] = sqrt[16 + 81] = sqrt[97].

Now we can write the equation of the circle, substituting the center and radius values into the equation. This gives us: (x - (-1))² + (y - 4)² = sqrt[97]² which simplifies to (x + 1)² + (y - 4)² = 97.

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Describe the number and type of roots for the polynomial (how many real and complex?). x3 + 5x2 – 4x – 2 = 0

Answers

Descartes' rule of signs tells you the one sign change in the coefficients means there's one positive real root. If you change the sign of the odd-power terms, the signs become -++-, so have two sign changes. This means there are 0 or 2 negative real roots.

A graph shows there to be 3 real roots, two of which are negative. Thus there are no complex roots.

Find the area of the shaded region?

Answers

10 x 12 = 120
3 x4 = 12
4x 1 = 4
120 - 12 = 108
108-4 = 104 square feet

Solve the equation using square roots. x2 + 10 = 9

A. Plus or minus the square root of 1.

B. no real number solutions

C. 1

D. –1


Answers

[tex] x^2 + 10 = 9 [/tex]

Subtract 10 from both sides.

[tex] x^2 = -1 [/tex]

Since the square of a number, x, equals a negative number, -1, the answer cannot be a real number because the square of a real number is always non-negative. Therefore, there is no real number solution to this equation.

Answer: B. no real number solutions

Answer:

no real number solutions

Step-by-step explanation:

The medicine capsule shown consists of a cylinder with a hemisphere at each end. The total length of the capsule is 18 millimeters. The diameter is 7 millimeters. Which choice is the best approximation of the total surface area of the capsule? Use 3.14 to approximate pi.

Answers

396 square millimeters

Answer:396

Step-by-step explanation:


The current San Francisco cable railway is driven by two large 14-foot-diameter drive wheels, called sheaves. Because of the figure-eight system used, the cable subtends a central angle of 270°on each sheave. Find the length of cable riding on one of the drive sheaves at any given time.

Answers

The length of an arc is given by (θ/360)2πr, where θ is the angle subtended by the arc at the center and r is the radius.
The angle θ in this case is 270°, while the radius is 7 feet, diameter is 14 feet
Thus the length of the of the cable will be;
=(270/360)× 22/7×14
= 0.75 × 44
= 33 feet

Answer:

The length of the cable is around 32.97 feet.

Step-by-step explanation:

The problem is about a circular sector, where the angle is 270° and the lenght of the subtended arc is the arc is the unknown variable.

The radius of the drive wheel is

[tex]r=\frac{d}{2}=\frac{14}{2}=7ft[/tex]

The central angle is 270°.

The length of the arc is

[tex]L=\frac{2\pi r \theta}{360\°}[/tex]

Replacing all values, we have

[tex]L=\frac{2(3.14)(7)(270\°)}{360\°}=\frac{11869.2}{360} \approx 32.97[/tex]

Thereofre, the length of the cable is around 32.97 feet.

What is the question

Answers

To solve for this problem, we need to combine like-terms. Let's list our current variables:
2x - 2y - 5y + 5z - 2x - y + 3z; now, we need to list like-terms together and simplify.
2x - 2x; 0
2y - y; -3y
5z + 3z; 8z

Now, let's put this into an expression;
-3y + 8z.

From our answer choices in the image above, the last option "D.) -3y + 8z" is the correct answer.

I hope this helps!

what is the product (7x^3y^3)(3x^5y^8)

a)10x^5y^15
b)10x^10y^24
c)21x^7y^11
d)21x^10y^24

Answers

You have studied polynomials consisting of constants and/or variables combined by addition or subtraction. The variables may include exponents. The examples so far have been limited to expressions such as 5x4 + 3x3 – 6x2 + 2x containing one variable, but polynomials can also contain multiple variables. An example of a polynomial with two variables is 4x2y – 2xy2 + x – 7.

 

Many formulas are polynomials with more than one variable, such as the formula for the surface area of a rectangular prism: 2ab + 2bc + 2ac, where a, b, and c are the lengths of the three sides. By substituting in the values of the lengths, you can determine the value of the surface area. By applying the same principles for polynomials with one variable, you can evaluate or combine like terms in polynomials with more than one variable.

The product of (7x²y³) and (3x⁵y⁸) is obtained by multiplying the coefficients and adding the exponents of like terms, resulting in c) 21x⁷y¹¹.

To find the product of the two algebraic expressions (7x²y³) and (3x⁵y⁸), we simply multiply the coefficients and add the exponents of corresponding variables:

Multiply the coefficients: 7 * 3 = 21

Add the exponents of x: x² * x⁵ = x²⁺⁵ = x⁷

Add the exponents of y: y³ * y⁸ = y³⁺⁸ = y¹¹

Therefore, the product is 21x⁷y¹¹, which corresponds to option (c).

Other Questions
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