Answer:
108π mm.
Step-by-step explanation:
The hour hand makes a full circle of 12 hr, in 45 min=0.75 hours it will will have made 0.75/12 of a full circle. Given that the tip of the hour hand travels along the circumference of a circle, the radius of circle will be equal to the lenth of the hand.
But:
circumference is given by:
C=2*π*radius
The distance traveled by the hand in 12 hours will be:
2**36=76π mm
The distance traveled in 45 min will be:
0.75/12 *72π=4.5π mm
in 45min, the min hand will make 45/60=3/4 of a full circle. If the min hand is 150% of the hour hand, then its length is 150/100*36=54 mm.
Thus the tip of the minute will travel along the entire circuference of a circle with a 54 mm radius, this implies that for a full circle we shall have:
2*π*54mm=108π mm.
Hence;
in 45 min, the tip of the minute hand will have traveled 108*3/4*π=81π mm
Draw a quadrilateral aBCD whose vertices are A (0,0) B(5,0), C(3,2) and D (0,2)
A graph of quadrilateral ABCD whose vertices are A (0, 0) B(5, 0), C(3, 2) and D (0, 2) is shown in the image attached below.
What are the types of quadrilateral?In Geometry, there are different types of quadrilateral and these include the following:
ParallelogramSquaresRectangleRhombusTrapeziumNext, we would use an online graphing calculator to construct (plot) quadrilateral ABCD on a cartesian coordinate based on the given vertices. Also, you should enter the value for each vertices of quadrilateral ABCD on the x-coordinate and y-coordinate respectively as shown in the table.
By critically observing the graph of quadrilateral ABCD, we can reasonably infer and logically deduce that it represents a trapezium.
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A voltage of 20 volts flow through a wire of 2.5ohm's resistance. Calculate the current
Answer:
8 A
Step-by-step explanation:
V = 20 volts
R = 2.5 ohms
I=?
By Ohm's Law
[tex] \because \: I \: = \frac{V}{R} \\ \\ \therefore \: I= \frac{20}{2.5} = \frac{200}{25} = 8 \: Ampere[/tex]
noah ia taking a multiple choice test with a total of 20 points available. Each question is worth exactly 1 point. What would be Noah's test score (out of 20) if he got 3 questions wrong? What would be his score if he got questions wrong?
Answer:
17
I wish you luck in your assignments.
someone help me with this PLEASE FOR ALG 2 exponential functions
Answer:
a) exponential decay
b) $1000
c)not sure
Step-by-step explanation:
a) depreciates means disapprovel so its going down
b) 20000×0.05=1000
Simplify
5 x 52
leaving your answer in index form.
Answer:
2^2×5×13
Step-by-step explanation:
its simple using only prime numbers to divide the answer of 52×5
Answer:
5x∧52
Step-by-step explanation:
Points A, R and G are points of tangency. Find the perimeter of ∆NET below.
Answer:
[tex]\small\mathfrak\red{here \: is \: your \: solution..} \\ \\ we \: know \: that \: tangent \\ from \: a \: same point \: are \: equal \\ \\ tr = 9 | an = 7 | eg = 5 \\ \\ tr = ta | an = gn | eg = re \\ \\ ta = 9 | gn =7 | re = 5 \\ \\ hence \: perimeter \: = 2(9 + 7 + 5) \\ \\ perimeter = 42 \: \\ \\ \huge\mathfrak\purple{hope \: it \: helps...}[/tex]
JRCXWD code for Qauthmath
Answer:
thank you, I guess
Step-by-step explanation:
The length of the longest recorded jump made on a skateboard measured 672 inches. Use a conversion factor to
find the length of this jump in feet. (1 foot=12 inches)
Please I need my answer fast ❤️❤️❤️❤️
Step-by-step explanation:
plz mark as brainlist////
Big orange trucking is designing an information system for use in "in-cab" communications. It must summarize data from eight sites throughout a region to describe typical conditions. Compute an appropriate measure of central location for the variables wind direction, temperature, and pavement
Wind direction [Mode] is South west
The [Mean] temperature is
The [Bimodal] pavement is Dry Wet
From the question the first question is to determine the wind direction
Generally from the wind direction would be the data with the highest frequency on the wind column i.e the mode of the data, this because this variable(wind direction ) is a nominal level type of level of measurement where the value assigned to the variable are for classification of the data (i.e telling what the data is all about )
So
The mode is Southwest
This means that the wind direction is Southwest
From the question second question is to determine the temperature
Generally given that their are are no outlier that will skew the data we can obtain the temperature by calculating the mean for the temperature column
This is mathematically represented as
T = 89+86+....+93+93/8
T = 91
From the question, the first question is to determine the pavement
Generally from the pavement would be the data with the highest frequency on the pavement i.e the mode of the data, this because this variable(pavement ) is a nominal level type of level of measurement where the value assigned to the variable are for classification of the data (i.e telling what the data is all about )
From the table we see that the pavement that the pavement column is bimodal
So the mode is Dry Wet
This mean that the pavement is Dry Wet
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i dont understand it
Answer:
x=-3
y=10
Step-by-step explanation:
6th grade math please help because my grade went down.. and ion got time to be
punished
AND NO LINKS OR YOU WELL BE REPORTED :) have a good day my luvs <3
What should I do FIRST to solve this problem? 3x + 5 = 16
divide by 3 on each side
subtract 5 from each side
add 16 to each side
add 5 to each side
What should I do FIRST to solve this problem?
3x + 5 = 16
divide by 3 on each side
subtract 5 from each side
add 16 to each side
add 5 to each side
What should I do FIRST to solve this problem?
3x + 5 = 16
divide by 3 on each side
subtract 5 from each side
add 16 to each side
add 5 to each side
Answer:
first you subtract 5 from both sides
your left with 3x=11
divide by 3 on both sides
x=3.666 repeating
Step-by-step explanation:
If you know how to do box and whisker plot pls answer this because I forgot how to do it
Answer:
A box and whisker plot is a way of summarizing a set of data measured on an interval scale. It is often used in explanatory data analysis. ... In a box and whisker plot: the ends of the box are the upper and lower quartiles, so the box spans the interquartile range. the median is marked by a vertical line inside the box.
Step One: The first step to creating a box and whisker plot is to arrange the values in the data set from least to greatest.
Step Two: Identify the upper and lower extremes (the highest and lowest values in the data set).
The lower extreme is the smallest value, Which in this case is 31
The upper extreme is the highest value which is62
Step Three: Identify the median, or middle, of the data set.
Which is 50 in this case
Step Four: Identify the upper and lower quartiles.
To find the lower quartile and the upper quartile, start by splitting the data set at the median into lower and upper regions.
The upper quartile is the median of the upper region and the lower quartile is the median of the lower region.
Step-by-step explanation:
Also, your answer is C.
Write a story problem using sea level that includes both integers -110 and 120
Answer:
A diver dove down in the ocean, they went down to 120 meters, They then proceeded to swim up resulting them at -110 meters, did they pass they 0 sea level? If yes, how?
Step-by-step explanation:
In the interval 0° < x < 360°, find the values of x for which tan x = -0.8645
Answer:
Step-by-step explanation:
x=tan^{-1}(-0.8645) \approx -40.84°,-40.84+180,-40.84+360
x=139.16°,319.16°
The values of x in the interval 0° < x < 360° for which tan(x) = -0.8645 are approximately 139.18° and 299.18°.
To find the values of x in the interval 0° < x < 360° for which tan(x) = -0.8645, you can use the inverse tangent function (also known as arctan or atan). The inverse tangent function will give you the angle whose tangent is equal to the given value.
Using a calculator or a math software that supports trigonometric functions, you can take the inverse tangent (arctan) of -0.8645 to find the angle:
arctan(-0.8645) ≈ -40.82°
Since tangent is a periodic function with a period of 180°, you can find other angles that satisfy the equation by adding or subtracting multiples of 180°:
-40.82° + 180° ≈ 139.18°
-40.82° + 2 * 180° ≈ 299.18°
So, the values of x in the interval 0° < x < 360° for which tan(x) = -0.8645 are approximately 139.18° and 299.18°.
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What is the length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in?
The length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in is 12.73 in.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the square of the length of the other two sides (a and b).
In this case, a = b = 9 in, so:
c2 = 92 + 92
c2 = 81 + 81
c2 = 162
c = √162
c = 12.73 in
The length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in is 12.73 in, calculated using the Pythagorean theorem.The length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in is 12.73 in.
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1. Which of these pairs of quantities are proportional to each other? For the quantities that are
proportional, what is the constant of proportionality?
a. Radius and diameter of a circle
b. Radius and circumference of a circle
c. Radius and area of a circle
d. Diameter and circumference of a circle
e. Diameter and area of a circle
a. Radius and diameter of a circle is proportional
b. Radius and circumference of a circle is proportional
c. Radius and area of a circle is not proportional
d. Diameter and circumference of a circle is proportional
e. Diameter and area of a circle is not proportional
Given that,
We have to find the pair of quantities are proportional to each other.
We know that,
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
We know
a. Radius and diameter of a circle is proportional because d=2r
b. Radius and circumference of a circle is proportional because C = 2πr
c. Radius and area of a circle is not proportional because A = πr² non linear relationship.
d. Diameter and circumference of a circle is proportional C = πd
e. Diameter and area of a circle is not proportional A = πd²
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Please help with this question!
Answer:
3. 17.2°
Step-by-step explanation:
The angles for the right triangle are 90°, 72.8°, and 17.2°.
Greg teaches an art class. The table below shows how many drawings his students had
submitted by last Friday. Greg calculates the mean absolute deviation (MAD) of the data.
Then, one student submits 25 additional drawings. Greg cannot remember whether the
drawings are Amy's or Emily's, but he thinks the MAD will increase no matter who submitted
the drawings. Is Greg correct? Use the drop-down menus to explain your reasoning.
HURRY
Answer: The MAD of the data in the table is 10. If the additional drawings are Amy’s the MAD is the data set still decrease. If the are Emily’s, the MAD will increase. The MAD of the new data set does depend on whether it was Amy or Emily who turned in the additional drawings. So, Greg is incorrect.
Step-by-step explanation:
Equilateral triangle T is inscribed in circle A , which has radius 10 . Circle B with radius 3 is internally tangent to circle A at one vertex of T . Circles C and D , both with radius 2, are internally tangent to circle A at the other two vertices of T. Circles B, C , and D are all externally tangent to circle E, which has radius m/n , where m and nare relatively prime positive integers. Find m+n
For the given figure, where m and nare relatively prime positive integers. The value of m+n is 32.
Explain Law of Cosines.The law of cosines, also known as the law of cosines, relates all three sides of a triangle to one angle of the triangle. Most useful for searching for missing information in triangles. For example, if you know all three sides of a triangle, you can use the law of cosines to find the measure of the angle. Similarly, if you know two sides and the angle between them, you can find the length of the third side by the law of cosines.
Let X be the intersection of the circles with centers B and E, and Y be the intersection of the circles with centers C and E.
Since the radius of B is 3, AX = 4.
Assume AE = p.
Then EX and EY are radii of circle E and have length 4 + p.
AC = 8, and ∠CAE = 60° because we are given that triangle T is equilateral.
Using the Law of Cosines on Δ CAE, we obtain
(6+p)² =p² + 64 - 2(8)(p) cos 60
The 2 and the cos 60 terms cancel out:
p² + 12p + 36 = p² + 64 - 8p
12p+ 36 = 64 - 8p
p = 28/20
= 7/5
The radius of circle E is 4 + (7/5)
= 27/5,
So, the answer is 27 + 5 = 32
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Pls help I need this quick
Answer:
9.x=34
10.142
11.118
12.72
Step-by-step explanation:
9.180-146
10.because they are on the same side of the line but also opposite of each other
11.180-62
12.because if you pick up one side and put is on the other side the numbers will be the same.
the cost of kens car wash was $23.95. if he wants to givve his detailer a 15% tip,about how much of a tip should he leave
Ken should leave a $3.59 tip.
We will discuss algebra, a branch of mathematics that deals with symbols and the rules for manipulating them, in the context of algebra word problem worksheets.
They represent variables or quantities without set values. Our abilities to construct and solve equations must be combined in order to solve algebraic word problems.
It is crucial to start by converting verbal descriptions into algebraic formulas before tackling word issues.
To find the amount of tip he should give, we note that 15% is equal to 0.15 as a decimal.
23.95 * 0.15= 3.5925≈3.59 (approximately)
Therefore, Ken should leave a $3.59 tip.
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.A car is traveling on a small highway and is either going 55 miles per hour or 35 miles per hour, depending on the speed limits, until it reaches its destination 200 miles away. Letting x represent the amount of time in hours that the car is going 55 miles per hour, and y being the time in hours that the car is going 35 miles per hour, an equation describing the relationship is: 55x+35y=200
A: If the car spends 2.5 hours going 35 miles per hour on the trip, how long does it spend going 55 miles per hour?
B: If the car spends 3 hours going 55 miles per hour on the trip, how long does it spend going 35 miles per hour?
C: If the car spends no time going 35 miles per hour, how long would the trip take? Explain your reasoning.
Answer:
This equation can be used to determine how long the car was traveling at each speed. You can solve for one of the variables by using algebraic techniques. For example, you could subtract 35y from both sides to get:
55x = 200 - 35y
Then divide both sides by 55 to get:
x = (200 - 35y)/55
This equation shows that the value of x (the time spent traveling at 55 mph) is determined by the value of y (the time spent traveling at 35 mph). If you know the value of y, you can use this equation to calculate the value of x.
To find the values of x and y that satisfy the equation, you will need to use additional information. For example, you could set up a system of equations and solve for x and y using techniques such as substitution or elimination.
Step-by-step explanation:
I dont know how to prove the equation below...pls help prove it with clear steps, i have no clue how does sin^2x can go into 1+cosx
Answer:
Answer:
Foci: (±5, 0)
Vertex: ( ±4 , 0)
Eccentricity: e = 5/4
Step-by-step explanation:
Hyperbola:
Write the equation of hyperbola in the form,
\boxed{\dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=1}
a
2
x
2
−
b
2
y
2
=1
9x² - 16y² = 144
Divide the entire equation by 144,
\begin{gathered}\sf \dfrac{9x^2}{144}-\dfrac{16y^2}{144}=\dfrac{144}{144}\\\\\\ \dfrac{x^2}{16}-\dfrac{y^2}{9}=1\\\\\\\dfrac{x^2}{4^2}-\dfrac{y^2}{3^2}=1\end{gathered}
144
9x
2
−
144
16y
2
=
144
144
16
x
2
−
9
y
2
=1
4
2
x
2
−
3
2
y
2
=1
a = 4 and b =3
Eccentricity: e
\boxed{e=\sqrt{1+\dfrac{b^2}{a^2}}}
e=
1+
a
2
b
2
\begin{gathered}\sf = \sqrt{1+\dfrac{9}{16}}\\\\=\sqrt{\dfrac{16}{16}+\dfrac{9}{16}}\\\\=\sqrt{\dfrac{25}{16}}=\sqrt{\dfrac{5*5}{4*4}}\\\\\\=\dfrac{5}{4}\end{gathered}
=
1+
16
9
=
16
16
+
16
9
=
16
25
=
4∗4
5∗5
=
4
5
Foci:
(ae, 0) & (-ae , 0)
\begin{gathered}\sf \left(4*\dfrac{5}{4},0 \right) \ ; \ \left( -4*\dfrac{5}{4},0 \right)\\\\\\(5, 0) \ ; \ (-5,0)\end{gathered}
(4∗
4
5
,0) ; (−4∗
4
5
,0)
(5,0) ; (−5,0)
Vertex of hyperbola:
The vertex of the hyperbola is a point where the hyperbola cuts the axis. (-a , 0) ; (a , 0)
Vertex : (-4 , 0) ; (4 , 0)
What is the slope of the line passing through the points
(-8, 5) and (7,0)?
Therefore, the slope of the line passing through the points (-8, 5) and (7,0) is -1/3.
The slope of the line passing through the points (-8, 5) and (7,0) can be found by using the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.
To find the slope (m), we can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
So, using the coordinates (-8, 5) and (7,0), we have:
m = (0 - 5) / (7 - (-8)) = -5 / 15 = -1/3
Therefore, the slope of the line passing through the points (-8, 5) and (7,0) is -1/3.
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FIND THE VALUE OF EACH EXPONENTIAL NOTATION COLOR THE CORRECT ANSWER THROUGH NAVIGATING THE EXPONENT MAZE. (PA HELP NAMAN GUYS)
The complete maze pattern is shown below.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.An exponent refers to the number of times a number is multiplied by itself.Given is an exponent maze.
We can complete the maze as -
START HERE →→ 3³ → → 9 →→ 1³ →→ 1 →→ 9² →→ 81 →→ 4³ →→ 64 →→ 2⁵ →→ 32 →→ 11² →→ 121 →→ 8² →→ 64 →→ 15³ →→ 3375 →→ 13² →→ 169 →→ 2⁴ →→ 16 →→ 10² →→ 100 →→ 2³ →→ 8 →→ 6⁴ →→ 1296 →→ 12² →→ 144 →→ 3³ →→ 27 →→ YOU MADE IT.
Therefore, the complete maze pattern is shown above.
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find the area of the rectangle whose lengths 16cm and breadth is 8cm
Answer: Breadth? Did you mean width? If so, the answer is 128cm
Step-by-step explanation:
Area = Width x Length
8x16=128
tamara finds the sum of two number cubes rolled at the same time. the chart below shows all possible sums frim thr 36 possible combinations when rolling two number cubes. how many times should tamara expect the sum of the two subes to be equal to 4 if she rolls the two number cubes 252 times?
Determine the total SA of this cone having radius 7 inches and a slant height 11 inches.
a) 259.7 in^2
b) 395.8 in^2
c) 153.9 in^2
d) 241.9 in^2
Select all the statistical questions
Answer:
B and C
Step-by-step explanation:
A general way to know this is, if the answer can be given as a rate, percentage, or probability, then this is a statistical question
If the answer is yes, no, true, false, or something exact, then the question is not statistical.
Let's analyze the given questions:
a) "How many cups are in a gallon?"
There is an exact number of cups in a gallon (16) so this is not an staistical question.
b) "Which measure spoon do home backers use most frequently?"
While here the answer may be something like "teaspoon", the root of the answer is a percentage, here we actually would see the percent of home backers (so we need to find a sample, study that sample, etc) that use each spoon, and based on that, we could conclude what is the correct answer, then this is a statistical question.
c) "On average, how much salt do professional pastry chefs use in pie crust?"
Here we need to find a mean value, so we would need to do a survey and etc, then this is a statistical question.
d) "Which is larger, 17 ounces or 2 cups?"
Here we have an exact solution, so this is not a statistical question.
e) "Did a specific store sell more measuring cups or measuring spoons on a given day?"
Here we just need to compare the two numbers:
number of measuring cups sold = k
number of measuring spoons sold = m
And we need to see which one is larger, so the answer is exact, thus, this is not a statistical question.
This may be similar to option B, the difference is that in option B we are talking about all home backers, so we need to find a sample and do statistics, while in this case, we are talking about a specific store.
Then the correct options are: B and C
The solutions to this problem
Answer: x<-2 or -2>x<1 or x>1
(-infinity,-2) U (-2,1) U (1,infinity)
Step-by-step explanation: