Answers
Answer:
In this case, to prove what is required, we must use the Pythagorean theorem to find the diagonal of the square.
If the diagonal of the square is smaller than the diameter of the circle, then the square will fit perfectly in the circle without touching it.
Diagonal = Root ((7 ^ 2) + (7 ^ 2)) = 9.89 cm.
we observed that
9.89cm <11cm.
Therefore we show that:
the square will fit inside the circle without touching the edge of the circle
or
c^2 = a^2 + b^2 c^2 = 7^2 + 7^2 = 49 +49 c^2 = 98 c = sqrt 98 c = 9.8 cm c = diagonal of square (9.8 cm) and is less than the diameter of the circle (11 cm), so the square will fit inside the circle without touching the edge of the circle.
I hope this helps a little bit.
Related Questions
A box with dimensions 1 1⁄4 ft x 2 3⁄4 ft x 3⁄4 ft was being filled with smaller boxes. Each of the smaller boxes are shaped like a cube. The smaller cube shaped boxes have the dimensions 1⁄4 ft x 1⁄4 ft x 1⁄4 ft. How many of the 1⁄4 ft x 1⁄4 ft x 1⁄4 ft cubes can be packed into the larger box?
Answers
Answer: 165 boxes
Step-by-step explanation:
Given
The dimension of the bigger box is [tex]1\ \frac{1}{4}\times 2\ \frac{3}{4}\times \frac{3}{4}\ ft^3[/tex]
the dimension of the smaller box is [tex]\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\ ft^3[/tex]
The volume of the large box
[tex]\Rightarrow V_1=\dfrac{5}{4}\times \dfrac{11}{4}\times \dfrac{3}{4}=\dfrac{165}{64}\ ft^3[/tex]
The volume of the small box
[tex]\Rightarrow V_o=\dfrac{1}{4}\times\dfrac{1}{4}\times \dfrac{1}{4}=\dfrac{1}{64}\ ft^3[/tex]
Suppose there are n small boxes
[tex]\Rightarrow n=\dfrac{V_1}{V_o}[/tex]
[tex]\Rightarrow n=\dfrac{\frac{165}{64}}{\frac{1}{64}}=165\ \text{boxes}[/tex]
HEP PLSSS
Given f(x)=3x2+4x and g(x)=2x2−x+1.
What is (f+g)(x)?
5x2+3x+1
−x2−5x−1
6x2−4x+1
x2+5x−1
Answers
(fg)(x) means multiply f(x) by g(x). Use the distributive law:
(fg)(x) = (x2+3x+2)(x+1) = x3 + 3x2 + 2x + x2 + 3x + 2 = x3 + 4x2 + 5x + 2
In the equation y=2x+3,y represents the total number of preseason and regular season games that your softball team played this summer. The variable x represents the number of weeks in the regular season. Which statement is true?
Answers
Answer:
C. Your team plays 3 preseason games.
Step-by-step explanation:
In the equation y = 2x + 3, y represents the total number of preseason and regular season games that your softball team played this summer. The variable x represents the number of weeks in the regular season. Which statement is true?
A. The regular season lasts 2 weeks.
B. The preseason lasts 2 weeks.
C. Your team plays 3 preseason games.
D. Your team plays 3 regular season games each week.
Solution:
The equation for a linear function is given as:
y = mx + b;
where m is the rate of change and b is the y intercept (that is initial value of y at x = 0), y and x are variables.
Given that y = 2x + 3;
The slope (m) = 2 and the y intercept (b) = 3
This slope means 2 games are played every week during the regular season games. The y intercept means that at before the regular games have start, 3 games have been played. Therefore, the team plays 3 preseason games.
Combine like terms to create an equivalent expression.
Make sure to simplify coefficients and constants as well.
-\dfrac65-\dfrac23v+\dfrac{4}{15}+\dfrac13v−
5
6
−
3
2
v+
15
4
+
3
1
v
Answers
Answer is in the file below
tinyurl.com/wpazsebu
Your Welcome!!!!
The answer is in the picture!!!! :3
Write an equation in POINT-SLOPE
form that goes through the point (1,11)
and is PERPENDICULAR to y=-1/7x+1
(TYPE IN YOUR ANSWER WITH NO
SPACES). UPLOAD YOUR WORK.
point -slopeform:y-y=m(x-x1)
slope-intercept for:y=mx+b
*
Answers
Answer:
y-1=7(x-0)
Step-by-step explanation:
The line perpendicular to y=-1/7+1 is y=7+1 because you find the reciprocal of the slope.
Then find one point on the line since the equation has a y intercept just use (0,1) and put that into point slope
Help please!
find the area of the shaded region. round to the nearest hundredths if necessary.
You can answer just 1 of them and thats fine but id really appreciate if all could get answered!
Answers
Answer:
b. 84.612cm
c. 314.15cm
d. 5cm
Step-by-step explanation:
b. solve for both triangles and height of rectangle using Sin
c. pi(r)h 3.1415(10)(10)
d. 3*3-2*2=5
Pets In a group of 150 people, each person has Complete the table.
a dog, a cat, or a bird. The frequency table
shows how many people have each kind of pet. Total Relative Frequency
Complete a relative frequency table to show the
Table
distribution of the data with respect to all
Pets Men Women Total
150 people.
% % %
Cat % % %
Frequency Table
Pets Men Women Total
Bird % % %
Dog 30 38 68
Total % % 100%
Cat 30 19 49
(Round to the nearest tenth as needed.)
Bird 17 16 33
Total 77 73 150
Answers
Explanation is in the file
tinyurl.com/wpazsebu
Executives from Six Flags, a well-known amusement park chain, had interest in constructing a Six Flags theme park in a location near Ames city limits. Experts believed that approximately 15% of the surrounding population would be interested in becoming season ticket holders. A random sample of 500 residents of Story County was collected (of the approximately 80,000 residents of Story County). Of the 500 people sampled, 124 said that they would be interested in purchasing season tickets to a Six Flags in Ames. Select the best description of the sample.
Answers
Answer:
Random sample of 500 residents of Story County
Step-by-step explanation:
SAMPLE can be defined as the process in which some group of people are randomly selected from a large population for the sole aim of carrying out statistical analysis that will represent the whole population at large instead of carryingout the SAMPLE on each person.
Therefore based on the information given the best description of the SAMPLE will be the 500 RESIDENT OF STORY COUNTY reason been that we were told that a random SAMPLE of the 500 residents of Story County were collected which in turn represent 80,000 of the residents of Story County at large.
A 12.5-foot ladder is leaning against the side of a house. If the ladder is resting 12 feet off the ground, how far is the ladder from the house?
A. 2 feet
B. 3.5 feet
C. 6.25 feet
D. 7 feet
Answers
Answer:
B. 3.5 feet
Step-by-step explanation:
The part leaning against the wall is the hypotenuse while the height of the ladder off the ground is the opposite and the distance of the ladder from the house is the adjacent side.
Given the following data;
Hypotenuse = 12.5 ft
Opposite = 12 ft
To find the adjacent side, we would use the Pythagorean theorem;
Hypotenuse² = opposite² + adjacent²
Substituting into the formula, we have;
12.5² = 12² + adjacent²
156.25 = 144 + adjacent²
Adjacent² = 156.25 - 144
Adjacent² = 12.25
Taking the square root of both sides, we have;
Adjacent = 3.5 feet.
Therefore, the distance of the ladder from the house is 3.5 feet.
A circular garden is 20 feet across; a gardener wants to cover it with sod. If each sod piece is two square feet, how much sod will be needed?
Answers
Answer:
750
Step-by-step explanation:
The magnitude of vector a = (5,m) is 13 and the magnitude of vector b = (n, 24) is 25. What are m and n
Answers
Answer:
[tex]m=12\,,n=7[/tex]
Step-by-step explanation:
The magnitude of vector [tex](x,y)[/tex] is given by [tex]\sqrt{x^2+y^2}[/tex]
The magnitude of vector [tex]a=(5,m)[/tex] is [tex]13[/tex].
[tex]\sqrt{5^2+m^2}=13\\5^2+m^2=13^2\\25+m^2=169\\m^2=169-25\\m^2=144\\m=12[/tex]
The magnitude of vector [tex]b=(n,24)[/tex] is [tex]25[/tex].
[tex]\sqrt{n^2+24^2}=25\\n^2+24^2=25^2\\n^2+576=625\\n^2=625-576\\n^2=49\\n=7[/tex]
Therefore,
[tex]m=12\,,n=7[/tex]
What format?
The functions f(x) and g(x) are shown on the graph. f(x) = |x|
what is g(x)
Answers
Answer:
D
Step-by-step explanation:
Answer:
i just took it. its actually g(x)=|x+5|
Step-by-step explanation:
Angel is making a scale model of his favorite truck. The actual truck is 12 feet long and 4 feet wide. Angel wants his model to be 15 feet in length. What would be the width of his model?
Answers
Answer:
the answer is 5ft wide
Step-by-step explanation:
Hope this helps!
What is the perimeter of ABCD?
14 units
38 units
44 units
49 units
ANSWER: C) 44 units
Answers
Help I only have about 25 minutes left to finish this. I risk failing if I don't get this answered. I have 4 more questions after this. HELP PLZ. This is Slope Intercept form still. I will award 100 pts again
Answers
Answer:
y = 6x - 20
Step-by-step explanation:
Perpendicular slope = 6
(3, -2)
y - y1 = m(x - x1)
y + 2 = 6(x - 3)
y + 2 = 6x - 18
y = 6x - 20
Answer:
Solution given:
equation of a line is:
y=-⅛x+4.......[1]
Comparing above equation with y=mx+c
we get
slope [m]=-⅛
let slope of another line is M
since the Lines are perpendicular
so m ×M=-1
we get
M=8
again
the another line passes through(x1,y1) (3,-2)
Equation of another line becomes:
(y-y1)=m2(x-x1)
(y+2)=8(x-3)
y+2=8x-24
8x-y=24+2
8x-y=26
[tex] \frac{8x}{26} - \frac{y}{26} = 1[/tex]
[tex] \frac{4x}{13} - \frac{y}{26} = 1[/tex]
is a required equation of a line in slope intercept form.
PLEASE HELP I'LL GIVE OUT EXTRA POINTS TO THOSE WHO ANSWER CORRECTLY
2. Is this number in scientific notation? Why or why not? If not, write in the correct format.
0.34 x 108
Please and thank you <3
Answers
The measure of angle A is equal to x degrees. The measure of angle B is equal to 95 degrees. Angles A and B are supplementary. Find m angle A
Answers
Answer:
95°
Step-by-step explanation:
Since both angles are supplementary, they have the same degree.
If angle B = 95°, angle A is also = 95°
Addison is shooting a free throw. The initial height of the ball is represented by the____
A. x-intercept
B. y-intercept
C. zeros
D. vertex
Answers
9514 1404 393
Answer:
B. y-intercept
Step-by-step explanation:
If we assume that the graph of the free-throw is of height versus time, then the initial height is the y-intercept—when time = 0.
How many lines of symmetry does this rectangle have
Answers
I need help with a achieve 3000 a presidents jobs
Answers
Answer:
Answer is in the photo. I can only upload it to a file hosting service. link below!
is.gd/qKzpBU
When u get the answer plss explain how u got the answer.
Answers
Answer:
they arrive at the same time
Step-by-step explanation:
the triangle is like the Pythagorean theorm
both the purple lines equal a^2+b^2
and the green line equals c^2
a^2+b^2=c^2
Rick is currently 72 inches tall. He wants to compare himself to his friend who is 5 feet and 11 inches tall. How many inches taller is Rick than his friend?
Answers
Answer:
1 inch
Step-by-step explanation:
We would have to convert rick's friends height to inches
1 feet = 12 inches
Friend's height = (12 x 5) + 11 = 71 inches
Difference in height = 72 - 71 = 1
Go to my question that says “ What’s the area of the triangle??” please help me
Answers
Answer:
Ok I'll help
Step-by-step explanation:
Help me I’ll give you good rating and make you branliest
Answers
Answer:
answer is 8
Step-by-step explanation:
Area= LxW (length times width)
length is 4 width is 2
4x2 equals 8
Solve using substitution
Answers
X=-2.57
ANSWER- (X,Y) (-2.57, 10.86)
which of the following equations is quadratic?
A. x( x² + 1) = 0
B. 5(4x + 2) = 3
C. (x + 3)(x + 4) = 5
Answers
Which box-and-whisker plot represents this data: 6,9, 13, 13, 18, 20, 24, 25, 26, 28, 30, 30?
Answers
Answer:
First option seems to b correct..
Step-by-step explanation:
Given data set shows following ...
Sample size: 12
Median: 22
Minimum: 6
Maximum: 30
First quartile: 13
Third quartile: 27.5
Interquartile Range: 14.5
Outliers: none
Basically box and whisker represents 5 things.In case of box and whisker
The most left point of left side represents the Stating point of data smallest value
The most right point of right side represents the ending point of data largest value of data
left side of box respresnts the Q1 lower quartile while right side represnts
the upper quartile Q3 ..
And there is line somewhere in box that represents the medianof data set..
The box and whisker plot which gives the correct representation of the dataset given is the plot A.
Given the data set : 10, 5, 8, 14, 21, 7, 13, 17, 17
To obtain box and whisker plot of the distribution, we could use technology such as excel or a box plot maker :
Using a boxplot maker, the following statistical measures, which is the five number summary of the dataset is given below :
Median: 22Minimum: 6Maximum: 30First quartile: 13Third quartile: 27.5Interquartile Range: 14.5Outliers: noneTherefore, since the statistical values of the data corresponds to the values depicted in the plot A, then it is the right choice.
Learn more : https://brainly.com/question/24582786
I need help finding u if it help x=6 that's all I know
Answers
Answer:
x = 6 y = 5
Step-by-step explanation:
X VALUE
3x+11 = 5x-1
12 = 2x
x= 6
Y VALUE
4y-1 = 19
4y = 20
y = 5
Answer:
5
Step-by-step explanation:
HELP WITH QUESTION 1 PLEASE! I’ll give you brilliance
Answers
Answer:
Step-by-step explanation:
A is 10
B is 13
C is [tex]\sqrt{43.65}[/tex]
D is [tex]\sqrt{74}[/tex]
The age of trees in a forest is known to be approximately normal with an average age of 40 years and a standard deviation of 10 years. What is the standardized score for a tree that is 34 years old?
Answers
Answer: D. -0.6
Step-by-step explanation:
Z score formula= x-mean/ SD
34-40/10= -3/5= -0.6
The standardized score for a tree that is 34 years old is -0.6
We have given that,
The age of trees in a forest is approximately normal with an average age of 40 years and a standard deviation of 10 years.
We have to determine what is the standardized score for a tree that is 34 years old
What is the Z-score formula?Z score formula= x-mean/ SD
We use the given values in the above formula so we get,
Z score =34-40/10
Z score = -3/5
Z score = -0.6
Therefore, The standardized score for a tree that is 34 years old is -0.6
To learn more about the Z score visit:
https://brainly.com/question/25638875
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