Considering the circumference of the circle, it is found that the length of arc AB is of 3.1 meters.
What is the circumference of a circle?
The circumference of a circle of radius r is given by:
[tex]C = 2\pi r[/tex].
This measure is equivalent to the length of an arc of 360º.
In this problem, we have that the radius is of r = 3m, hence the circumference is given by:
C = 6 pi m.
Arc AB has an angle of 60º, hence it's length is 1/6 of the circumference, which will then be of pi m = 3.1 meters.
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I'm very confused on this question!! SOMEONE HELP ASAP!!!
Answer:
AC and YX are corresponding sides.
AB and YZ are corresponding sides.
BC and ZX are corresponding sides.
Step-by-step explanation:
Hope this helps and have a nice day
Part B: Your cell phone and tablet use the same account. The cell phone costs $0.10 for
each minute of use and the tablet costs $0.15 for every minute of use. Each month, you
want to only spend up to $450 and use Tess than 5,000 minutes on both of the devices.
Now, create a system of inequalities using the above information (use x and y as the
variables).
pls help for brainliest
The inequalities are x + y < 5000 and 0.10x + 0.15y ≤ $450 which shows each month, you want to only spend up to $450 and use less than 5,000 minutes on both of the devices.
What is inequality?Inequality is defined as a mathematical expression in which both sides are not equal and have mathematical signs that are either less than or greater than.
Let's suppose the total minutes of uses for cell phone is x
and total minutes of uses of for tablet is y
Cell phone cost $0.10 each minute and tablet cost $0.15 each minute.
Then total minutes will be:
x + y < 5000 (as it is given that the time will be less than 5,000 minutes on both of the devices)
And total cost = $450
0.10x + 0.15y ≤ $450
Thus, the inequalities are x + y < 5000 and 0.10x + 0.15y ≤ $450 which shows each month, you want to only spend up to $450 and use less than 5,000 minutes on both of the devices.
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3 + 15 + 75 + 375 + 1,875
What’s the sigma notation
Answer:
292,968
Step-by-step explanation:
If someone could help that’d be great!
Answer:
6.6 ft
Step-by-step explanation:
The area of a triangle is given by the formula: [tex]A=\frac{1}{2}bh[/tex].
In this case, the base b equals the height h.
[tex]\therefore A=\frac{1}{2}h^2 \rightarrow h=\sqrt{2A}[/tex]
Given: A = 22 ft²
[tex]\therefore h=\sqrt{2A} = \sqrt{2(22 \text{ ft}^2)} = \sqrt{44}\text{ ft} \approx 6.6 \text{ ft}[/tex]
HELP me please please thanks you.
Answer:
The triangles are not similar
Step-by-step explanation:
You can make a ratio with the corresponding sides of the triangles. When triangles are similar, the ratios are equal.
These will be:
ED:BA = EF:BC = FD:AC
Now, to substitute the numbers and check whether the ratios are equal:
3/8 = 2/5
Already, we see that these ratios are not equal, therefore the two triangles aren't similar.
Mrs. Hanger is painting the following picture of an H to hang in the entryway of her home. She has made the following scale drawing as her model. The scale used on the drawing is 1:6.
As you can see, the "H" is going to be painted brick red in the center of a rectangular beige background. This means the distance from the "H" to the top of the picture will be the same as the distance from the "H" to the bottom of the picture. Similarly, the distance from the "H" to the left side of the picture will be the same as the distance from the "H" to the right side of the picture. Finally, each segment of the "H" will have the same width.
Mrs. Hanger decides to change the scale of her drawing from 1:6 to 1:4.
Is the new scale drawing larger or smaller than the original scale drawing? Use complete sentences to explain your reasoning.
What are the dimensions of the painting on the new scale drawing?
The percentage of the rectangle that will be beige is 15.5 percent
What is a rectangle?
A rectangle is a quadrilateral having the four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.
The width of the "H" is 1/2 the distance form the top to the bottom of the "H" is 1/2
1/2 + 1/2 =
the side length of the "H" is 4
4 x 1/2 = 2
The demensions of the other 1/2 by 4 are the same, therefore,
2 + 2 = 4
The middle section is 1 by 1/2
1 x 1/2 = 1/2
The equation is 2 + 1/2 = 2 1/2
and converted to decimal form it is 4.5
The rectangle is 4 by 5
So 4 x 5 = 20
20 - 4.5 = 15.5 percent
Hence the percentage of the rectangle that will be beige is 15.5 percent.
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a triangle had sides with lengths 5, 12, and 13.
verify this is a pythagorean triple
It is a pythagorean triple.
Why are inscribed angles half the size of the central angles
Answer:
An angle inscribed in a circle is half of the central angle 2 that subtends the same arc on the circle, according to the inscribed angle theorem. As a result, the angle does not change as the vertex of the circle is moved around.
Step-by-step explanation:
What is the slope of the line represented by the following equation? 4x−y+3=0
The slope of the line which is represented by the provided equation 4x-y+3=0 is the number 4.
What is the slope of a line?The slope of a line is the difference in the height of the y coordinates and the difference in the width of the coordinates. It describes the direction of the line.
The standard form of the equation of a line can be given as,
y=mx+c
Here, c is the y intercept of the line and m is the slope of the line.
The equation of the line is given as,
4x-y+3=0
Rewrite the equation in the standard form as,
4x-y+3=0
4x+3=y
y=4x+3
Compare it with standard equation we get,
m=4
c=3
Thus, the slope of the line which is represented by the provided equation 4x-y+3=0 is the number 4.
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Amir drove from Jerusalem to the lowest place on Earth, the Dead Sea. His altitude relative to sea level (in meters) as a function of time (in minutes) is graphed. How fast did Amir descend?
The equation for the flowing rate of aamir is as follows y = -12x +360
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
First of all let's write the slope-intercept form of the equation of a line, which is:
y = mx + c
So we just need to find to solve this problem.
Moreover, this problem tells us that Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. So this rate is the slope of the line, that is:
Negative slope because Amir is descending. So:
y = - 12x + b
To find, we need to use the information that tells us that he was at sea level after 30 minutes of driving, so this can be written as the point. Therefore, substituting this point into our equation:
y = -12x + b
0 = -12(30) + b
b = 360
Finally, the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is:
y = -12x +360
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Answer:
11 meters per minute
Step-by-step explanation:
The rate at which Amir descended is equivalent to the rate of change of this relationship. In linear relationships, the rate of change is represented by the slope of the line. We can calculate this slope from any two points on the line.
Hint #22 / 2
Two points whose coordinates are clearly visible from the graph are
(
0
,
440
)
(0,440)left parenthesis, 0, comma, 440, right parenthesis and
(
40
,
0
)
(40,0)left parenthesis, 40, comma, 0, right parenthesis.
Now, to find the slope, let's take the ratio of the corresponding differences in the
�
yy-values and the
�
xx-values:
0
−
440
40
−
0
=
−
440
40
=
−
11
40−0
0−440
=
40
−440
=−11start fraction, 0, minus, 440, divided by, 40, minus, 0, end fraction, equals, start fraction, minus, 440, divided by, 40, end fraction, equals, minus, 11
The slope of the line is
−
11
−11minus, 11, which means that Amir descended at a rate of
11
1111 meters per minute.
The first and fourth quadrants of a coordinate plane. The horizontal axis is from zero to one hundred with a scale of ten and is titled Paprika in kilograms. The vertical axis is from negative three hundred to five hundred with a scale of one hundred and is titled Profit in dollars. The graph of the line is y equals eight x minus two hundred eighty.
What is the horizontal asymptote of j (x) = startfraction 14 x cubed 45 over 2 x cubed x 9 endfraction y = 1 y = 5 y = 7 y = 12
The horizontal asymptotes the the point where the horizontal line cutes the y-axis. The horizontal asymptotes of the function is y =7
Horizontal asymptotes of a functionThe horizontal asymptotes the the point where the horizontal line cutes the y-axis,
Given the function
j(x) = 14x³+45/2x³+9
Since the powers of both numerator and denominator is the same, we will take the ratio of their coefficient as shown
y = 14/2
y = 7
Hence the horizontal asymptotes of the function is y =7
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if the legs of a right triangle are 3 and 6, what is the length of the hypotenuse?
Answer:
[tex]3\sqrt5[/tex]
Step-by-step explanation:
The pythagorean theorem is [tex]a^2+b^2=c^2[/tex] where c is the hypotenuse.
so, [tex]3^2+6^2=c^2[/tex]
9 + 36 = 45
[tex]\sqrt45=\sqrt{c^2}[/tex]
c = [tex]3\sqrt5[/tex]
The scatterplot illustrates the relationship between high school and college GPAs for a sample of students.
A graph titled Relationship between high school and college G P A s has H S G P A on the x-axis and college G P A on the y-axis. Points are at (2, 4), (2.25, 2.9), (2.5, 2.8), (2.5, 2.8), (2.5, 3), (3, 3), (3.25, 3), (3.25, 3.1), (3.25, 3.2), (3.5, 2.9), (3.5, 3), (3.5, 3.1), (4, 3), (4, 3.1), (4, 3.5).
Which of the following is an accurate description of the scatterplot?
Students with higher high school GPAs have higher college GPAs.
Students with lower high school GPAs repeat their performance and get low college GPAs.
Because college is a fresh start, there is no relationship between high school and college GPAs.
Lower high school GPAs correlate to lower college GPAs, with one exception of a low high school GPA and high college GPA.
Answer: D
Step-by-step explanation:
The correct answer is (D): Lower high school GPAs correlate to lower college GPAs, with one exception to a low high school GPA and high college GPA.
What is GPA?Grade point average, or GPA, is measured on a scale of 0 to 4. A grade of four is an A, while a grade of zero equals an F.
Given:
The scatter plot illustrates the relationship between high school and college GPAs for a sample of students.
The scatter plot is given in the attached image.
Highest college GPAs are 4, 3.5, 2 and so on.
And their respective high school GPAs are 2, 4, 3.25 and so on.
That means, students with higher high school GPAs have lower college GPAs.
Let students with lower high school GPAs repeat their performance and get low college GPAs.
But here a student has GPA 2 in high school and 4 GPA in college.
That gives us contradiction.
There is one exception, with college GPA as 4 and HS GPA as 2.
All other points show that a lower college GPA could result in lower HS GPA.
Therefore, the correct answer is option D.
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7. A square pyramid has a height that is 8 centimeters
long and a base with sides that are each 9
centimeters long. Find the volume of the pyramid.
The volume of the square pyramid will be equal to V = 648 square centimetres.
What is Volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the Cuboid.
Given that:-
A square pyramid has a height that is 8 centimeters long and a base with sides that are each 9.The volume will be calculated as:-
V = L x W x H
V = 9 x 9 x 8
V = 648 square centimters.
Therefore the volume of the square pyramid will be equal to V = 648 square centimetres.
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
D. Ray
Step-by-step explanation:
Point: A dot in an exact location or position on a plane surface.
Line: A straight line that goes on infinitely in both directions and has no endpoints.
Line segment: A line between two points on each end.
Ray: A line with one endpoint and extends in one direction infinitely.
What is the answer? I need help
Answer:
10
Step-by-step explanation:
Square root of 74 is 8.6.
Using the pythagoras theorem,
7²+x²(half)=8.6²
49+x²(half)=74
x²=25, x=5
Now we found the half of x, we are going to add the other side which is 5+5=10
PLEASE HELP!!! i can’t find the answer
Answer:
the correct answer is 2nd hope this will help u i have find the value of x also hope it will help
Step-by-step explanation:
[tex] {4}^{x + 3} = 64 \\ {2}^{2(x + 3)} = {2}^{6} \\ 2{ }^{2x + 6} = 2 {}^{6 } \\ 2x + 6 = 2 \\ 2x = 2 - 6 \\ x = \frac{ - 4}{2} \\ x = - 2[/tex]
a boat is traveling east across a river that is 112 meters wide at 8 meters per second. if the river has a northwest current of 5 meters per second, what is the resultant speed of the motorboat rounded to the nearest 10?
boat speed= 8 m/s
river current= 5 m/s
to find:the resultant speed of the motorboat rounded to the nearest 10.
solution:use pythagorean theorem.
let the unknown be "x".
[tex] {a}^{2} = {b}^{2} + {c}^{2} [/tex]
[tex] {c}^{2} = \sqrt{ {a}^{2} + {b}^{2} } [/tex]
[tex]x = \sqrt{ {8}^{2} + {5}^{2} } [/tex]
[tex]x = \sqrt{64 + 25} [/tex]
[tex]x = 9.4 \: m |s[/tex]
hence, the resultant speed of the motorboat is 9.4 m/s
How do i rewrite the equation?
Answer+Step-by-step explanation:
1)
[tex]x^{2}+4x+1=x^{2}+4x + (4 - 4) + 1[/tex]
[tex]=x^{2}+4x + 4 - 3[/tex]
[tex]=(x+2)^2-3[/tex]
then
[tex]x^{2}+4x+1=0[/tex]
[tex]\Longleftrightarrow \left( x+2\right)^{2} -3=0[/tex]
[tex]\Longleftrightarrow \left( x+2\right)^{2} =3[/tex]
2)
[tex]\left( x+2\right)^{2} =3[/tex]
⇔ |x + 2| = √3
⇔ x + 2 = √3 or x + 2 = -√3
⇔ x + 2 = ±√3
⇔ x = -2 ± √3
• Packaging of a product can cost a lot of money. Can you design
the cheapest package?
• Your task is to decide on the most cost effective and efficient
way to pack 12 golf balls. The radius of each golf ball is 1,8 cm.
All 12 golf balls fit side by side and you must design a box that
will hold the 12 golf balls with the minimum amount of wasted
card. The cost of cardboard is going to 0,01€ per cm squared.
The best arrangement can be
3 rows and 4balls each rowSo
Length of one row=1.8(4)=7.2cmWidth=1.8(3)=5.4cmHeight=1.8(2)=3.6cmSo
TSA
2(LB+BH+LH)2(5.4(7.2)+(7.2)(3.6)+3.6(5.4))2(84.24)168.48cm²Total cost
168.48(0.01)1.685€The volume of a right rectangular prism is 7 1/2 cm³. The height of the prism is 2 1/4 cm.
What is the area of the base of the prism?
A) 3 1/3 cm²
B) 5 1/4 cm²
C) 9 3/4 cm²
D) I don't know
Answer:
C
Step-by-step explanation:
To find the area of the base of the prism, you would first multiply 7 1/2 and 2 1/4, which would leave you with 16.875. Next, you would divide by 2, which gives you 8.4375. Rounding up, you would have the answer C.
10
3
А.
B
1+
2+
EF
G/H
Which of the following are corresponding angles?
O A. DC and 2F
OB. ZA and ZE
OC. E and 2H
OD. A and
Answer:
why don't u send the pictures so I can help u out
Find the Volume of a sphere with a diameter of 16 using the formula V=4/3 3.14 r^3
Find the volume of a sphere with a diameter of 16 cm using the formula Volume = [tex]\dfrac{4}{3}[/tex] × π × r³.
❍ Explanation -:In this question we are provided with the diameter of a sphere. We are asked to calculate the volume of the sphere using the radius.
First we will find the radius of the sphere
We know,
[tex] ✭ \: \small\boxed{ \rm{ Radius = \dfrac{Diameter}{2}}}[/tex]
Substituting the values we get
[tex] \small\sf{ Radius = \dfrac{ \cancel{16} \: \: 8}{ \cancel{2}}}[/tex]
[tex] \star \: \small\rm{ Radius = 8 \: cm}[/tex]
Now we will calculate the volume of the sphere
We know,
[tex] ✭ \: \small \boxed{{\rm{ Volume_{(sphere)} = \dfrac{4}{3} × π × r³}}}[/tex]
Where,
r stand for radiusAssuming π as 3.14Substituting the values we get
[tex] \small\rm{ Volume_{(sphere)} = \dfrac{4}{3} × 3.14 × 8³}[/tex]
[tex]\small\rm{ Volume_{(sphere)} = \dfrac{ \cancel{4}}{3} × 3.14 × 8 \times 8 \times \cancel{ 8 } \: \: 2}[/tex]
[tex] \small\rm {V olume_{(sphere)} = \dfrac{3.14 × 64}{3}}[/tex]
[tex] \small\rm{ Volume_{(sphere)} = \dfrac{200.96}{3} =66.98 \: {cm}^{3} }[/tex]
Hence the volume of the sphere is 66.98 cm³.
[tex] \underline{\rule{71mm}{4pt}}[/tex]
hello im having a hard time solving part b can anyone help me?
If you know BN and AN, then you can use the fact that ∆ AQB and ∆ ABN are similar. which gives the relation
BN/BQ = AN/AB = AB/AQ
Now
AN/AB = AB/AQ ⇒ AQ = AB²/AN = 36/AN
and
BN/BQ = AN/AB ⇒ BQ = (BN • AB)/AN = 6 • BN/AN
where AB = 6 because it's the diameter of the circle, and C(O, 3) means the circle has center O and radius 3.
Find the value of x
Area of triangle =5
(Type an integer or decimal rounded to the nearest hundredth as needed. Use a comma to desperate answers if needed.
Answer:
x= 1.74
Step-by-step explanation:
Area of triangle= ½ ×base ×height
We are given that the base is (x +4), the height is x and the area is 5.
5= ½(x +4)(x)
Multiply both sides by 2:
x(x +4)= 10
Expand:
x² +4x= 10
x² +4x -10= 0
Let's use the quadratic formula!
[tex]\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} }[/tex]
[tex]x = \frac{ - 4± \sqrt{ {4}^{2} - 4(1)( - 10)} }{2(1)} [/tex]
[tex]x = \frac{ - 4± \sqrt{56} }{2} [/tex]
x= 1.74 or x= -5.74 (reject)
(nearest hundredth)
Rectangle ZYXW has vertices Z ( -1,-4) , Y (0,-2), X (4,0), and W (3,-4). What will be the vertices of the rotated image if the rectangle is rotated around the origin counterclockwise by 90 degrees?
The coordinates of the rotated image are Z' = (4,-1), Y' = (2,0), X' = (0,4) and W' = (4,3)
How to determine the vertices of the image?The points are given as:
Z ( -1,-4) , Y (0,-2), X (4,0), and W (3,-4)
The rule of rotation around the origin counterclockwise by 90 degrees is
(x,y) => (-y,x)
Using the above rule, we have:
Z' = (4,-1)
Y' = (2,0)
X' = (0,4)
W' = (4,3)
Hence, the coordinates of the rotated image are Z' = (4,-1), Y' = (2,0), X' = (0,4) and W' = (4,3)
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Orange County wanted to determine how its students did on a standardized test, so the county took a random survey of 25 students. Out of the 25 students, 4 scored "1" on the test, 8 scored "2" on the test, 5 scored "3" on the test, 5 scored "4" on the test, and 3 scored "5" on the test.
The model could be improved by using a step function.
how is it no explain why
Answer:
the top answear
Step-by-step explanation:
the top aka 16^15/5 it should be 16^15 not that 5
Answer:
The answer is "no" because when two numbers with the same bases are divided, their powers are subtracted.
This should have been done instead:
[tex]\frac{6^{15} }{6^5}[/tex] = 6¹⁵ ⁻ ⁵
= 6¹⁰
Hope this helps!
A recent community survey of 100 citizens showed that 55% of respondents approved of water rationing. The data was simulated 500 times. In those simulations, the lowest sample was p^ =45 and the highest sample was p^ =66. Use the standard deviation method for determining the error margin with 95% confidence.
A. What is the error margin?
B. What is the interval estimate for the true population proportion?
C. From this estimate, can you say for certain that the majority of the community supports water rationing?
The interval estimate for the true population proportion is 45.25% to 64.75% and we can conclude that the majority of the community supports water rationing
How to determine the error margin?The given parameters are:
p = 55% = 0.55n = 100Confidence level = 95%The error margin is calculated using:
[tex]E = z * \sqrt{\frac{p* (1 - p)}{n}}[/tex]
Where z is the critical value.
At 95% confidence level, the critical value is:
z = 1.96
So, we have:
[tex]E = 1.96 * \sqrt{\frac{0.55 * (1 - 0.55)}{100}}[/tex]
Evaluate
[tex]E = 1.96 * \sqrt{0.002475}[/tex]
Evaluate
E = 0.0975
Hence, the error margin is 0.0975
How to determine the interval estimate for the true population proportion?This is calculated using:
I = p ± E
So, we have:
I = 0.55 ± 0.0975
Expand
I = (0.55 - 0.0975, 0.55 + 0.0975)
Evaluate
I = (0.4525, 0.6475)
Express as percentage
I = (45.25%, 64.75%)
Hence, the interval estimate for the true population proportion is 45.25% to 64.75%
How to interpret the estimate?From the simulation,
Lowest sample p = 45% Highest sample p =66%The values are approximately the interval estimates.
i.e.
45.25% ≈ 45% and 64.75% ≈ 65%
Hence, we can conclude that the majority of the community supports water rationing
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Find the x-intercept and y-intercept of the line.
6x - 3y = 6
x intercept:
y intercept:
Answer:
Use the slope-intercept form y=mx+by=mx+b to find the slope mm and y-intercept bb.Slope: 22y-intercept: (0,2)(0,2)
Step-by-step explanation: