Answers
so a = 11
answer
11 inches
.. (11 in)^2 = 121 in^2
The side length is 11 inches.
_____
A square is a special rectangle. Its length is equal to its width. The area of any rectangle is the product of length and width, but because those are the same for a square, its area is the square of the side length. (square ... square, do you see any relation?)
Finding a square root is the process of finding a number that multiplies by itself to give a particular result. You want to find the square root of 121, so you will know the value (11) that multiplies by itself to give 121. If you don't already know this number, your calculator will find it for you.
Related Questions
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
I hope it's right!!!!
Answer:
c is the answer
Step-by-step explanation:
Solve the system of equations using the substitution method.
{4x+5y=7
{y=3x+9
Enter your answers in the boxes.
x=
y=
Answers
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
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 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.
Which inequality is equivalent to -6x ≥ 30?
PLEASE ANSWER AS SOON AS POSSIBLE! THANK YOU.
a: x ≥ 5
b: x ≥ -5
c: x ≤ 5
d: x ≤ -5
Answers
Our goal here is to isolate the variable, x. In order to do this following the dividing and algebraic property of equality (which states that the equation remains equal if you do the same thing to both sides) , we must divide both sides by the coefficient of x, -6. That gives us:
-6x/-6 ≥ 30/-6
Now, normally, we'd just complete this division - and we'd have our answer. But according to the rules of inequalities, when you multiply or divide by a negative number, the sign flips.
Thus, our answer is:
x ≤ - 5, or D.
Hope this helps!
The inequality [tex]\(-6x \geq 30\)[/tex] is equivalent to [tex]\(x \leq -5\)[/tex]. Therefore, the correct answer is option d: [tex]\(x \leq -5\)[/tex].
To solve the inequality [tex]\(-6x \geq 30\)[/tex] and find its equivalent form, follow these steps:
1. Write down the original inequality:
[tex]\[ -6x \geq 30 \][/tex]
2. Isolate [tex]\(x\)[/tex] by dividing both sides of the inequality by [tex]\(-6\)[/tex]:
- Note that when dividing both sides of an inequality by a negative number, the direction of the inequality sign must be reversed.
[tex]\[ \frac{-6x}{-6} \leq \frac{30}{-6} \][/tex]
3. Simplify both sides:
[tex]\[ x \leq -5 \][/tex]
So, the equivalent inequality to [tex]\(-6x \geq 30\)[/tex] is [tex]\(x \leq -5\)[/tex].
Therefore, the correct answer is:
[tex]\[\boxed{\text{d: } x \leq -5}\][/tex]
Which pair of angle measures represents a pair of complementary angles
35 and 55
45 and 55
45 and 125
55 and 123
Answers
Which pair add up to 90?
A.) 35 and 55 = 90
B.) 45 and 55 = 100
C.) 45 and 125 = 170
D.) 55 and 123 = 178
Hope this helps :)
In a detection experiment, randy says "yes" to 90% of the trials, and perry says "yes" to 70% of the trials. our best conclusion from this study is
Answers
In a detection experiment in which Randy says "yes" to 90% of the trials, and Perry says "yes" to 70% of the trials. our best conclusion from this study is that response criterion may be different for Randy and Perry.
We can't say that Randy's threshold is higher than Perry's, as he says yes to most trials, and his threshold is lower.
We can't also say that they are equally sensitive because they respond differently to the trials.
Finally, we can't also say that Perry is more sensitive than Randy, because he said "yes" to a fewer percentage of trials, meaning that he is less sensitive than Randy.
The option that remains, and the right one, is that response criterion may be different for Randy and Perry because they react with a different sensitivity to the same stimulus.
Have a nice day!
(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
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
The area of a circle A is 85π ft2. ∠BAC is a central angle of the circle, and m∠BAC = 36°
What is the area of the 36° sector?
Question 1 options:
8.5πft2
10πft2
17πft2
21.25πft2
Answers
the magnitude of the central angle in the circle is 360°
Area for 360° central angle - 85π ft2
then the area for 1° = 85π ft2/360°
the area of 36° sector = 85π ft2/360° x 36°
= 8.5π ft2
Simplify the expression.
A) –24n + 8mn – 100np
B) –6n – 2mn + 25np
C) –6n + 2m – 25np
D) –6n + 2mn – 25np
Answers
-24 /4n will equal -6n because the n won't go away
8m/4n will equal 2mn because you can always have two variables on one number and the n is not going anywhere
-100p/ 4n will equal -25np because of the same reason as the upper one.
so -6n + 2mn -25np is the simplified expression
50 POINTS PLEASE HELP show work answer all 3
Answers
Answer:
b.) The graph's x-intercepts are similar to ½(x - 5)(x + 2).
a.) [-2, 0], [5, 0]
__________________________________________________________
b.) The graph has a maximum value because the graph opens down [-2 = A].
a.) [-3, -4]
__________________________________________________________
d) [0, -5]
c) -2 = x
b) [-2, -9] → [h, k]
a) -1, 5 = x
Explanation:
b) Both graphs have the binomial of [x - 5][x + 2], so the x-intercepts never altered.
a) Set the binomial equal to zero, and you will get your x-intercepts of [-2, 0] and [5, 0].
__________________________________________________________
b) When A is negative, your graph will have a maximum value [opens down], whereas when A is positive, your graph will have a minimum value [opens up].
a) According to the Vertex Formula, y = A[X - H]² + K, [H, K] represents the vertex, plus, -H gives you the OPPOSITE TERMS OF WHAT THEY REALLY ARE, so be EXTREMELY CAREFUL labeling your vertex. Additionally, K gives you the NORMAL TERMS.
__________________________________________________________
d) The y-intercept is your C-term, so in this case, it is [0, -5].
c) To find the axis of symmetry, use this formula:
[tex] \frac{-b}{2a} = x[/tex]
Whatever the opposite of your B-term is, you take that and divide it by twice your A-term.
b) To find the vertex, in this case, you have to go from Standard Form to Vertex Form by completing the square, using this formula to get part of your new C-term:
[tex][\frac{b}{2}]^{2} [/tex]
When done, you get this:
[tex]y = {x}^{2} + 4x + 4 \\ \\ y = [x + 2]^{2} [/tex]
Then, you have to deduct some number from 4 that gave you -5 in the first place, and that integer is -9. So, here is the result:
[tex]y = [x + 2]^{2} - 9[/tex]
From here, we can see that our vertex is [-2, -9].
a) When the binomial is set to equal to zero, you get this:
[tex]{x}^{2} + 4x - 5 \\ \\ [x - 1][x + 5] = 0 \\ \\ 1, \: -5 = x[/tex]
e) See above photograph
I am joyous to assist you anytime.
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
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
helpppppppppppppppppppppppp
Answers
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 :)
(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
Old macdonald had a total of 37 chickens and pigs on this farm. there was a total of 98 feet. how many chickens were there and how many pigs?
Answers
The required, there were 25 chickens and 12 pigs on Old MacDonald's farm.
To solve this problem, we can use a system of equations to represent the number of chickens and pigs on Old MacDonald's farm. Let x be the number of chickens and y be the number of pigs. Then we have:
x + y = 37 (equation 1)
2x + 4y = 98 (equation 2)
Equation 1 represents the total number of animals, and Equation 2 represents the total number of legs. We can simplify equation 2 by dividing both sides by 2:
x + 2y = 49 (equation 3)
Now we have two equations with two variables. We can solve for x and y by using substitution or elimination. Let's use elimination by multiplying equation 1 by 2 and subtracting it from equation 3:
x + 2y = 49
-2x - 2y = -74
x = -25
Solving for x, we get:
x = 25
Substituting x = 25 into equation 1, we get:
25 + y = 37
Solving for y, we get:
y = 12
Therefore, there were 25 chickens and 12 pigs on Old MacDonald's farm.
Learn more about solutions of equations here:
https://brainly.com/question/24553498
#SPJ4
The equations are c + p = 37 and 2c + 4p = 98. Solving the system of equations the numbers are 26 and 11, respectively.
Explanation:To solve this problem, we can use a system of equations.
Let's assume that the number of chickens is represented by 'c' and the number of pigs is represented by 'p'. Based on the given information, we can create two equations:
1. c + p = 37 (equation 1)
2. 2c + 4p = 98 (equation 2)
We have two equations with two variables, so we can solve this system of equations to find the values of 'c' and 'p'.
Using equation 1, we can express 'c' in terms of 'p': c = 37 - p.
Substituting this into equation 2, we get: 2(37 - p) + 4p = 98. Solving this equation, we find: p = 11.
Substituting the value of 'p' back into equation 1, we find: c = 26.
Therefore, Old MacDonald had 26 chickens and 11 pigs on his farm.
A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. if field has a length that is twice its width, find the area of the field in square meters. ________________________________________
Answers
12:2=6 km..............30 min
6000 m :10=600 m (the perimeter)
600m= 2(l+w)=2(2w+w)=2*3w=6w
⇒ w=600:6
w=100m
l=2*100=200m
A=w*l=200*100=20.000 m^2
Can someone please help me I would appreciate it please!?!
I well mark brainliest if its explained and right.
Answers
_____________________________________________________
The formula for the surface area, "S.A.", of a "cylinder":
S.A. = 2 π r² + 2 π r h ;
in which:
"S.A." = "surface area" of the cylinder; for which we wish to solve;
π = 3.14 (approximation we shall use) ;
r = radius = 5 cm (given; from figure);
h = height = 2 cm (given; from figure);
______________________________________
To solve for the surface area, "S.A." . let us plug in our known values, and solve:
S.A. = 2 π r² + 2 π r h ;
S.A. = 2 * (3.14) * (5 cm)² + 2 * (3.14) * (5 cm) * 10 cm) ;
= 2 * (3.14) * (5²) * (cm²) + 2 * (3.14) * 5* 10 * cm² ;
= 2 * (3.14) * (25) * (cm²) + 2 * (3.14) * 5* 10 * cm² ;
= 157 cm² + 314 cm² ;
= 471 cm² .
________________________________________________
The answer is: " 471 cm² " .
________________________________________________
What is the surface area of the cone to the nearest whole number ? Use 3.14 for π
Answers
sorry about the quality im not good at writing on computer
Answer:
1130.973355 is the answer
Step-by-step explanation:
pi10(10+sqrrt((24^2)+(10^2)))
31.416(10+sqrrt(576+100))
31.416(10+sqrrt(676))
31.416(10+26)
31.416(36)
1130.976
Which graph represents the function?
Answers
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.
What is the interquartile range of the data set? Enter the answer in the box. 20,25,30,30,31,40,41,49
Answers
49 - 20 = 19. Hope it helps! :)
Answer:
13.0
Step-by-step explanation:
8- 2 to the root of 4+8*2^3-(3+14-5)/12
I don't know if this makes sense but I need help with it.
Answers
[tex] = 8 -2^{2} +8 \times 8 -\frac{12}{12} [/tex]
[tex] = 8-4+64-1 = 67 [/tex]
Anybody got an answer?
Answers
.. A = n*(1/2)*s*h
Your area is
.. A = 10*(1/2)*(3.25 m)*(5 m) ≈ 81.3 m^2
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
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
Describe how to find linear expressions for the possible dimensions of a rectangular prism with a volume of 8k^3 +26k^2+ 6k.
Answers
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
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
Use systems of equations to solve the problem.
A farmer raises wheat and oats on 180 acres. She plants wheat on 20 more acres than she plants oats on. How many acres of each crop does the farmer plants?
Answers
Y = wheat, x = oats
Y = x + 20. In the 1st equation, get y by itself getting y = 180 - x.
So 180 - x = x + 20. Subtract x on both sides to get 180 - 2x is 20. Subtract 180 to both sides is -2x = -160. Divide -2 to both sides is x = 80. So 80 + 20 is 100 wheat, and 80 oats of acres.
80 acres oats
100 acres wheat
Graph the following inequality and then select the correct graph below.
x - y - 2 ≥ 0
Answers
Answer:
Second graph
Step-by-step explanation:
Given inequality,
x - y - 2 ≥ 0
⇒ x - y ≥ 2
The related equation of the inequality,
x - y = 2
Having x-intercept = (2, 0)
y-intercept = (0,-2),
Also, 0 - 0 ≥ 2 ( False )
Thus, the inequality will not contain the origin,
Again,
'≥' shows the solid line.
Hence, by the above explanation it is clear that the SECOND graph would be the graph of given inequality.
The 4,000 students at Tech High were surveyed about their use of text messaging. How many students said they text 50-100 times a day?
Answers
Answer:
3000
Step-by-step explanation:
75% of 4000 students
Aisha owns an apparel store. She bought some shirts and jeans from a wholesaler for $3,900. Each shirt cost $12 and each pair of jeans cost $28. If she sold the shirts at 70% profit and jeans at 125% profit, her total profit was $3,885. How many shirts and jeans did she buy from the wholesalers? 101 shirts and 96 jeans
Answers
x: shirt
y: jeans
We write the following system of equations:
12x + 28y = 3900
8.4x + 35y = 3885
We solve the system of equations:
x = 150
y = 75
Note: see attached image for the solution of the system:
Answer:
she bougth from the wholesalers
150 shirts
75 jeans
Answer:
The correct answer would be:
Step-by-step explanation:
150-shirts
75-jeans
What does the Pythagorean Theorem state about the sides of a right triangle if the legs of triangle have the measurement of a and b and the hypotenuse of the triangle measures c?
Answers
a^2 + b^2 = c^2
Anita brings 6 dolls to her grandmas house. These dolls represent 20% of Anita's doll collection. What is the total number of dolls in Anita's dolls collection?
Answers
6=20%*x
6=20/100 *x
6*100/20=x
30=x
the total number of dolls is 30
Answer:
30 is your answer
Step-by-step explanation: