Answer:
C = 364.24
Step-by-step explanation:
Comment
The circumference and the radius are related to one another. The constant relating them is pi which is a fixed number of 3.14 The formula for the circumference is C = 2*pi * r
Givens
pi = 3.14
r = 58 cm
Circumference = ?
Formula
C = 2*pi * r
C = 2 * 3.14 * 58
C = 364.24
Carmen is planning rail lines for a new train station. Help her find m1. Explain how you found that solution.
m<1 =163 degrees
163,17,163,17 (all in degrees)
163,17,163,17 (all in degrees)
I have reproduced and attached a diagram (in figure 1) of the problem.
For ease of understanding, I have attached a second diagram which is labelled.
On line a
17+<CBE=180 (Linear Pair Postulate)
m<2=<CBE=180-17=163 degrees
<ABG=<CBE=163 degrees (Vertically Opposite Angles)
<ABE=<GBC= 17 degrees(Vertically Opposite Angles)
On line b
m<1=<DEB=<ABG=163 degrees (Corresponding Angles)
<BEF=<GBC= 17 degrees (Corresponding Angles)
<HEF=<DEB=163 degrees (Vertically Opposite Angles)
<DEH=<BEF=17 degrees (Vertically Opposite Angles)
Therefore:
m<1 =163 degrees
Clockwise from top left, the angles formed with line a are: 163 degrees, 17 degrees, m<2=163 degrees and 17 degrees.
Clockwise from top left, the angles formed with line b are: m<1=163 degrees, 17 degrees, 163 degrees, and 17 degrees.
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Please help me!! due today. Find the volume of the right triangular prism !:)
Answer: 115.5 cubic m
Step-by-step explanation:
[tex]V=\frac{1}{2}(7)(11)(3)=115.5[/tex]
if 3n+2 is an odd number which of the following is an even number
A. 3n
B. 3n + 4
C. 3n + 3
D. (3n)²
Answer: 3n+3
Step-by-step explanation:
Adding 1 to an odd number results in an even number.
FIND THE SURFACE AREA PLSS
Answer:
BrainlyMidIsBusy Sucks
The following triangle is an isosceles triangle. What is the length of the missing side?
Considering that we have an isosceles triangle, the length of the missing side is of 11 inches.
What is an isosceles triangle?An isosceles triangle is a triangle that has two congruent sides.
Researching this problem on the internet, the triangle has two sides of 4 in and 11 in, and one missing side. The missing side is opposite to the side of 4 in, with the same scale, hence the length of the missing side is of 11 inches.
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Elias and niko are polishing the silver at the heritage museum. elias could polish all the silver himself in 40 minutes. that task would take niko 50 minutes to complete alone. which table is filled in correctly and could be used to determine how long it would take if elias and niko polished the silver together? a table showing rate in part per minute, time in minutes, and part of silver polished. the first row shows elias, and has startfraction 1 over 40 endfraction, t, and startfraction 1 over 40 endfraction t. the second row shows niko and has, startfraction 1 over 50 endfraction, t, and startfraction 1 over 50 endfraction t. a table showing rate in part per minute, time in minutes, and part of silver polished. the first row shows elias, and has r, startfraction 1 over 40 endfraction, and startfraction 1 over 40 endfraction r. the second row shows niko and has, r, startfraction 1 over 50 endfraction, and startfraction 1 over 50 endfraction r. a table showing rate in part per minute, time in minutes, and part of silver polished. the first row shows elias, and has 40, t, and 40 t. the second row shows niko and has, 50, t, and 50 t . a table showing rate in part per minute, time in minutes, and part of silver polished. the first row shows elias, and has r, 40, and 40 r. the second row shows niko and has, r 50, and 50 r .
The first table is filled correctly and can be used to determine how long it takes for Elias and Niko to polish the silver.
How to interpret Mathematical Tables?The first table is filled correctly and can be used to determine how long it takes for Elias and Niko to polish the silver.
The rate is the unit rate.
Now, since Elias polishes all of the silver himself in 40 minutes, his rate is 1/40.
Similarly, Niko’s rate would be 1/50.
Their time is the same because they are working at the same time, and as such we can write that as t. Then, the part of the silver polished would be the rate * time, or:
Thus;
Part polished by Elias: ¹/₄₀ * t
Part Polished by Niko: ¹/₅₀ * t
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Plss help...
Write down the rule in the form y=
Answer:
yxthgggggyhfffghgggggvggvvggvv
Two poles of different heights are used for a climbing event and need to be secured to the ground using wires. The shorter pole is 6.0 m tall and the wire is secured 8.0 m from the base of the pole. If wire of the taller pole is 16.0 m long. Determine the height of the taller pole .
Using similar triangles, it is found that the height of the taller pole is of 9.6m.
What are similar triangles?Similar triangles are triangles that have the same angles, and whose side lengths are proportional.
The hypotenuse of the smaller triangle is given as follows:
h² = 6² + 8² -> h = 10.
Hence the proportional relationship is:
[tex]\frac{10}{16} = \frac{6}{h}[/tex]
Applying cross multiplication:
10h = 96
h = 9.6m.
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Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below. In this function, Po is the air pressure at the surface of the Earth, and h is the height above the surface of the Earth, measured in meters. Which expression best represents the air pressure at an altitude of 3,000 meters above the surface of the Earth
The expression that best represents the air pressure at an altitude of 3,000 meters above the surface of the Earth is 3,000ρg.
Air pressure at an altitude above the surface of the EarthThe air pressure at an altitude of 3,000 meters above the surface of the Earth is calculated as follows;
Po = ρgh
where;
ρ is density of airg is acceleration due to gravityh is the altitudeSubstitute the value of altitude into the equation;
Po = 3,000ρg
Thus, the expression that best represents the air pressure at an altitude of 3,000 meters above the surface of the Earth is 3,000ρg.
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Task 1—Non-Linear Systems of Equations Create a system of equations that includes: One linear equation And one quadratic equation
One linear equation y=x ......(i)
And quadratic equation y=x^2 .....(ii)
(1)Solving them
y=x=x^2
x-x^2=0
x(x-1)=0
If x=0 then y=0
if x=1 then y=1
(x,y)=(0,0),(1,1)
(2) graphically [refer in attachemet]
What is linear equation ?
A linear equation is one in which the variable's maximum power is always 1. It is also known as a one-degree equation. A linear equation in one variable has the conventional form Ax + B = 0. In this equation, x is a variable, A is a coefficient, and B is constant. A linear equation in two variables has the conventional form Ax + By = C. The variables x and y are variables, the coefficients A and B are coefficients, and the constant C is a constant.There are only one or two variables in a linear equation. In a linear equation, no variable is raised to a power larger than one or utilized as the denominator of a fraction. When you locate two values that satisfy a linear equation and display them on a coordinate grid, all of the points fall on the same line.To learn more about linear equation visit:
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Find the zeros of: [tex]f(x)=-\frac{1}{1500} (x^3+10x^2-275x-1500)[/tex], and the use them to find all of the linear factors of the polynomial function
The function f(x) = -(1/1500)(x³ + 10x² - 275x - 1500) the zeros are at (-20, 0), (-15, 0) and (15, 0). Hence the factors of the function are x + 20, x + 15 and x - 15.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the graph of the function f(x) = -(1/1500)(x³ + 10x² - 275x - 1500) the zeros are at (-20, 0), (-15, 0) and (15, 0). Hence the factors of the function are x + 20, x + 15 and x - 15.
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Explain how you can find the constant of proportionality from a graph representing a proportional relationship when it shows a point with an x-value of 1 and if it doesn’t show an x-value of 1.
For a proportional relationship, the constant is found dividing all values of y by each respective value of x.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
The constant can be represented as follows:
[tex]k = \frac{y}{x}[/tex]
Hence the constant is found dividing all values of y by each respective value of x.
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On a coordinate plane, shapes show the size of swings, a slide, a merry-go-round, and a sandbox. The sandbox has points (0, 6), (8, 12), (12, 6), and (8, 0).
A sandbox is shaped like a kite. Each unit on the coordinate plane represents one foot. A planner would like to replace the wooden border around the sandbox. How many feet of wood does he need? Round up to the nearest whole number.
feet
The number of feet of wood that is needed is given as 35 feet of wood.
How to solve for the woodWe have to do this through the use of pythagoras theorem
a² = b² + c²
8² + 6²
a = √100
= 10
4² + 6²
= 52
a = √52
Then we would have
10 + 10 + √52 + √52
= 34.42
This is approximately 35 feet
The feet of wood that is needed is given as 35 feet
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Answer:
The number of feet of wood that is needed is given as 35 feet of wood
Step-by-step explanation:
I just did it on E2020 and got it right
Can someone help me out with these problems and show work please !!
Answer:
13. 10a^4b²
14. -5y³ + 35y² - 10y
Step-by-step explanation:
Question 13:
(5a³b) (2ab) =
=10a^4b²
Question 14:
5y (-y² + 7y - 2) =
= -5y³ + 35y² - 10y
Hope this helps!
Someone help me please
Answer:30 degress
3 angles in a triangle equal 180-120=60 60÷2=30
Step-by-step explanation:
The area of the base of the cone is 8 pi mm^2. what is the volume of the cone in terms of pi?
The volume of cone whose area of base is 8π[tex]mm^{2}[/tex] is 32π/3 [tex]mm^{3}[/tex].
Given area of base of the cone 8π[tex]mm^{2}[/tex].
We are required to find the volume of the cone.
We know that base of a cone used to be in circle so the area of base of cone is equal to π[tex]r^{2}[/tex].
Area=8π (given)
π[tex]r^{2}[/tex]=8π
[tex]r^{2}[/tex]=8
r=[tex]\sqrt{8}[/tex]
r=2[tex]\sqrt{2}[/tex]
Volume of cone=1/3*π[tex]r^{2} h[/tex]
=1/3*π[tex](2\sqrt{2} )^{2}[/tex]*4
=1/3*8*4π
=32π/3
(We are not required to put value of π so our answer will be 32π/3.)
Hence the volume of cone whose area of base is 8π is 32π/3.
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Question is incomplete as it should also include height of cone be 4 mm.
On friday , march 16, mr posts beginning checking balance is 80 and his account is created for a deposit is for 50 the same day, several transactions are posted totaling 90 mr posts bank charges a 25 overdraft fee. his bank credits deposits before it post checks. what will mr. posts account balance be at the end of the day?
Account balance at the end of day is 195.
word problemA word problem is a type of mathematics exercise where the majority of the problem's context is supplied in spoken language as opposed to mathematical notation.
now according to question
initial balance in account on march 16 =80
deposit in account on the same day = 50
overdraft fee charged by bank=25
several transactions amount deposited in bank=90
total amount deposited /available in bank account.
=80+50+90
=220
total amount deducted from account
=25
account balance at the end of day
=220-25
=195
hence answer is 195
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Find the value of z.
A. 100
B. 82
OC. 118
OD. 75
o'
105°
120°
68⁰
Answer:
B. 82
Step-by-step explanation:
I hope it helps you :)
The value of z in the given figure of circle with two lines dividing it into segments is 100.
We are given that the measures of angles ∠1 and ∠2 are 105° and 120°, respectively.
Step 1: Since the interior angles of a triangle add up to 180°, we know that the measure of ∠3 is 180° - 105° - 120° = 55°.
Step 2: Since ∠3 and ∠z are supplementary angles, we know that m∠3 + m∠z = 180°.
Step 3: Substituting the measures of ∠3 from step 1 into step 2, we get 55° + m∠z = 180°.
Step 4: Subtracting 55° from both sides of the equation in step 3, we get m∠z = 180° - 55° = 125°.
Step 5: Since m∠z = 125°, then z = 125°.
Therefore, the value of z is 100.
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Describe the sample variance using words rather than a formula. do the same with the population variance
A. The sample variance is the sum of the deviations from the mean divided by the number of measurements minus one. The population variance is the average of the distances of the measurements on all units in the population from the mean.B. The sample variance is the sum of the squared deviations from the mean divided by the number of measurements. The population variance is the sum of the squared deviations from the mean divided by the number of measurements minus one.C. The sample variance is the sum of the deviations from the mean divided by the number of measurements. The population variance is the sum of the deviations from the mean divided by the number of measurements minus one.D. The sample variance is the sum of the squared deviations from the mean divided by the number of measurements minus one. The population variance is the average of the squared distances of the measurements on all units in the population from the mean.
The option D is the correct option.
According to the statement
we have to define the sample variance in the words.
So,
The sample variance is the sum of the squared deviations from the mean divided by the number of measurements minus one.
and in the case of the population variance it becomes
The population variance is the average of the squared distances of the measurements on all units in the population from the mean.
This is the method by which we define the sample variance and population variance.
So, The option D is the correct option.
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Angle 0 intersects the unit circle at point (-0.9483, -0.3173). What is the value of tan(0)
The tangent in the unit circle is equal to 0.334.
How to calculate the value of the function tangent with the help of a unit circle
In trigonometry, unit circles are representations of a circle with radius 1 and centered at the origin of a Cartesian plane commonly use to estimate and understand angles and trigonometric functions related to them.
Angles are generated by line segments whose coordinates are of the form (x, y), where x is the position of the terminal point along the x-axis and y is the position of the terminal point along the y-axis.
In addition, the tangent of the angle generated in a unit angle is defined by the following equation:
tan θ = y / x (1)
If we know that x = - 0.9483 and y = - 0.3173, then the tangent of the angle generated in the unit circle is:
tan θ = (- 0.3173)/(- 0.9483)
tan θ = 0.334
The tangent in the unit circle is equal to 0.334.
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A wall is in the shape of a trapezoid. The lengths of the parallel bases are 8 feet and 20 feet. The height of the room is 8 feet. How much paint is needed to cover the wall? 80 ft2 112 ft2 160 ft2 224 ft2
The amount of paint needed to cover the wall is 112 square feet
How to determine the amount of paint?The given parameters are:
Parallel bases = 8 feet and 20 feet
Height = 8 feet
The area is calculated as:
Area = 0.5 * (Sum of parallel bases) * Height
So, we have;
Area = 0.5 * (8 + 20) * 8
Evaluate
Area = 112
Hence, the amount of paint needed to cover the wall is 112 square feet
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if the ordered pairs (x, -1) and (5, y) belong to the set {(a, b): b = 2a-3}, find x and y.
What is the point slope equation of a line with slope -3 that contains the point (-8,-4)?
Answer:
y = -3x - 28
Step-by-step explanation:
y = mx + b is the slope-intercept of a line. To write an equation in this form. I need to find the slope (m) and the y-intercept (b). Yay! They gave us the slope (m). It is -3. Now we just need to figure out the y. We can do that by plugging in the slope (-3) and using the x (-8) and the y (-4) that they gave us from the point to solve for b.
y = mx + b
-4 = -3(-8) + b Multiple -3(-8) Remember a negative times a negative is a positive.
-4 = 24 + b Now subtract 24 from both side of the equation
-28 = b Now we can write the equation
y = mx + b
y = -3x + (-28) or y = -3x -28. Adding a negative is the same as subtracting a positive.
g(x) = (x ^ 3 - 9x)/(x ^ 2 - 6x + 9)
The expression is simplified to x
How to simplify the expressiong(x) = (x ^ 3 - 9x)/(x ^ 2 - 6x + 9)
First, we simplify the numerator
= [tex]\frac{x (x^2 - 3^2)}{x^2 - 6x + 9}[/tex]
Now, let's solve the quadratic equation in the denominator
= [tex]\frac{x(x^2 - 3^2)}{x^2 - 3x - 3x + 9}[/tex]
= [tex]\frac{x(x^2 - 3^2)}{x(x-3) - 3(x - 3)}[/tex]
= [tex]\frac{x(x - 3) (x -3)}{(x -3) ( x-3)}[/tex]
Divide the like factors
= x
The answer is x
Thus, the expression is simplified to x
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Solve to find the value for x in the linear equation: 3(−4x 5) = 12. 1. use the distributive property: 2. use the subtraction property of equality: 3. division property of equality: 3(−4x) 3(5) = 12 −12x 15 = 12 −12x 15 − 15 = 12 − 15 −12x = −3 x =
Answer:
1/4
Step-by-step explanation:
I think that you forgot the addition or the subtraction sign between -4x and 5. I will assume that it was an addition sign
3(-4x+5) = 12 Multiply everything in the parentheses by 3
-12x + 15 = 12 Subtract 15 from both sides
-12x = -3 Divide both sides by -12
x = -3/-12 = 3/12 =1/4
[tex] \color{red} \sf Solve \: for \: x : \\ \sf \: \: 4x + 2 = -8?[/tex]
Thank uh !
Answer:
[tex]\huge\boxed{\sf x = -2.5}[/tex]
Step-by-step explanation:
Given equation:4x + 2 = -8
Subtract 2 to both sides
4x = -8 - 2
4x = -10
Divide 4 to both sides
x = -10/4
x = -2.5[tex]\rule[225]{225}{2}[/tex]
Answer:
x = -5/2x = -2.5Step-by-step explanation:
4x + 2 = - 8
Subtract 2 from both sides,
4x = - 8 - 2Subtract 2 from - 8 = - 10,
4x= -10Divide both sides by 4,
4x/4 = -10/4x = - 5/ 2 or x = - 2.5____________________
A roller coaster’s height is given by the equation h = –.025t2 + 4t + 50, where t represents the time in seconds. How long will it take riders to pass over the hill and reach ground level? Hint: Set h = 0.
Answer Options:
A.11.65
B.50.00
C.171.65
D.210.00
The time it took the rider to reach the ground level is 171.651seconds
Quadratic functionsQuadratic functions are functions that has a leading degree of 2.
Given the equation that represents roller coaster’s height as shown
h = –0.025t^2 + 4t + 50
The coaster will reach the ground when h = 0
Substitute
0 = –0.025t^2 + 4t + 50
Factorize
On factorizing, the time it took the rider to reach the ground level is 171.651seconds
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Answer:
171.65 seconds
Step-by-step explanation:
did the test and got it right
The temperature was -20.5°F at 5 A.M. and rose 5 degrees per hour for the next 5 hours. Melissa says the temperature at 10 A.M. was -5.5°F. Which statement identifies Melissa’s error and the correct answer?A.Melissa multiplied incorrectly. The correct answer is -0.5°F.B.Melissa multiplied incorrectly. The correct answer is 9.5°F.C.Melissa added incorrectly. The correct answer is 4.5°F.D.Melissa added incorrectly. The correct answer is 5.5°F.
The statement which identifies Melissa’s error and the correct answer is; Melissa added incorrectly. The correct answer is 4.5°F
TemperatureInitial temperature = -20.5°FChange in temperature per hour = 5°FNumber of hours = 5New temperature = Initial temperature + (Change in temperature per × Number of hours)
= -20.5°F + (5°F × 5)
= -20.5°F + (25°F)
= 4.5°F
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Answer:
C
Step-by-step explanation:
A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. the patient currently has a bone density of 1, 500 kg / m * g ^ 3 the doctor writes an exponential function to represent the situation. which should the doctor use for a and b in a function written in the form f(x) = a * b ^ x where f(x) represents the bone density after x years ?
Answer:
a = 1500 b = .97
Step-by-step explanation:
1500 ( .97)^x = bone density after n years
3% loss leave 97% each year (.97 in decimal)
What is the probability of on-time arrival in class given that the subject is biology?
The probability of on- time arrival in class given that the subject is biology is 82.4%.
Given the following table relating to subject on tie assignment submission and on time arrival in class.
Subject On time submission On time arrival
Physics 89.7% 82.3%
Maths 88.2% 88.7%
Chemistry 89.4% 83.1%
Biology 90.1% 82.4%
Total 88.5% 84.7%
We have to find the probability of on time arrival in class given that the subject is biology.
We have been given the corresponding percentages and percentages in itself shows some quantity. Percentage is the ratio of total favourable outcome to total outcome.
From the table the probability of on time arrival in class given that the subject is biology is 82.4%
Hence the probability of on- time arrival in class given that the subject is biology is 82.4%.
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Question is incomplete as it should includes the following table:
Subject On time submission On time arrival
Physics 89.7% 82.3%
Maths 88.2% 88.7%
Chemistry 89.4% 83.1%
Biology 90.1% 82.4%
Total 88.5% 84.7%
Answer:
82.4%.
Step-by-step explanation: