The slant height of the hexagonal pyramid is: B. 14 inches.
What is the Area of a Regular Hexagon?Area of a regular hexagon = 3√3/2(s²)
First, find the area of the regular hexagon:
Area = 3√3/2(s²) = 3√3/2(10²) = 150√3 in.².
Surface area is given as 420 + 150√3 in.².
Area of the 6 triangles = surface area - area of hexagonal base = 420 + 150√3 - 150√3
Area of the 6 triangles = 420 in.²
Area of 1 triangle = 420/6 = 70 in.²
Use the area of a triangle to find the slant height (h):
70 = 1/2(10)(h)
2(70) = 10(h)
140/20 = h
h = 14 in.
The answer is B. 14 inches.
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PLS HELP IN SUPER STUCK PLEASE HELP
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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Two sets of data both have a mean of 76. however, the first set has a standard deviation of 1.4 and the second set has a standard deviation of 5.7. what must be true about the two sets?
1) it is not possible to have two sets with the same mean and different standard deviations.
2) the first set of data has values that are closer to the mean because the standard deviation is lower.
3) the first set of data has values that are farther from the mean because the standard deviation is lower.
4) the second set has more data values than the first.
Option 2) the first set of data has values that are closer to the mean because the standard deviation is lower is correct
If two samples have the same mean, then it means that the two values in the two samples are centered around the same value. However, this does not mean that the data values in the samples vary equally around this center and thus the standard deviations may also differ.
It depends what the standard deviations are. The standard deviation is a measure of how close the results are to the mean, a low standard deviation means that the measurements are accurate, so close to the mean. A high standard deviation means that the measurements are more spread out.
We need to find that if two sets of data both have a mean of 76. however, the first set has a standard deviation of 1.4 and the second set has a standard deviation of 5.7. what must be true about the two sets
The first set of data has values that are closer to the mean because the standard deviation is lower because in first set standard deviation is 1.4 and in second set standard deviation is 5.7
The one with smaller standard deviation are least spead from the mean
Hence the first set of data has values that are closer to the mean because the standard deviation is lower.
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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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Does (5,-8),(3,5),(3,-3),(2,8) represent a function
Answer:
No
Step-by-step explanation:
So to determine whether this is a function, we first need to know what a function is. A function is defined as for each input, there is only 1 output.
This output doesn't have to be unique and other inputs can output this output, but it only matters that each input outputs only one output.
So let's look at what you provided and specifically these two points:
(3, 5)
(3, -3)
This input 3, outputs 5 and -3, which is not a function since this input outputted 2 different outputs. One thing to note is had you provided the two points: (3, 5), (3, 5) instead then it would still be a function because the input outputted the same output of 5 both times.
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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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 SURFACE AREA PLSS
Answer:
BrainlyMidIsBusy Sucks
Which is an equivalent form of the expression 1800(1.2)^-t
Answer:
1800(5/6)^t
Step-by-step explanation:
I don't see any answer choices, but this would be another form if it is listed. The negative exponent means that you get the reciprocal of the fraction (in this case 1.2). This turns 1.2 into (1/1.2), which is equivalent to 5/6.
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:
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 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
Lines b and c are parallel. What is the measure of angle 6
The measure of ∠6 is 54 degrees.
How to find the angles in a parallel lines?When parallel lines are cut by a transversal, angle relationship are formed. Therefore,
∠6 = 5x + 9 (vertically opposite angles)
∠6 = ∠2
Hence,
∠2 + 13x + 9 = 180
5x + 9 + 13x + 9 = 180
18x = 162
x = 162 / 18
x = 9
Hence,
∠6 = 5(9) + 9 54°
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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!
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 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)
2. According to Archimedes, the area of any circle is equal to the area of a right triangle in which one of the sides about the right angle is equal to the radius, and the other to the circumference of the circle. Verify this formula for yourself using the formula for the circumference of a circle.
Formula [tex]\text { area }=1 / 2 \times \text { base } \times \text { height }=1 / 2 \times 2 \pi r \times r=\pi r^{2}[/tex] for the circumference of a circle.
How did Archimedes find the circumference of a circle?Archimedes stated in his Proposition that the area of a circle is equal to the area of a triangle with a base equal to the circumference and a height equal to the radius: (1/2)(r · 2πr) = πr2. Archimedes arrived at his approximation of the circumference of the circle by increasing the number of sides of the hexagon. Archimedes claimed that the area of any circle is equal to the area of a right triangle, where the radius of the circle is represented by one side and the circumference by the other.
Archimedes demonstrated using a similar method that the area of a circle of diameter D is equal to the area of a right-angled triangle with one side equal to the radius and the other to the circumference of the circle on the right angle.
Formula for the circumference of a circle:
A circle's area is equal to pi times the radius squared (A = r2). Discover how to apply this formula to determine a circle's area given its diameter.
The circumference is diameter x pi, or 2 x radius x pi.
[tex]\text { area }=1 / 2 \times \text { base } \times \text { height }=1 / 2 \times 2 \pi r \times r=\pi r^{2}[/tex].
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In our solar system, 6 of the 8 planets have moons.
What percentage of the planets have moons?
Answer:
75%
Step-by-step explanation:
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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HELP PLEASE!!!!!!
Parallel lines r and s are cut by two transversals, parallel lines t and u.
How many angles are alternate exterior angles with angle 5?
Picture below:
The number of angles that are alternate exterior with angle 5 is one, which is angle 11.
What are Alternate Exterior Angles?Alternate exterior angles are formed on the outside of the two parallel lines that are intersected by a transversal, each being located on the opposite side of the transversal.
The alternate exterior angle pairs are two angles that are supplementary. This means they add up to give a sum of 180 degrees.
Considering transversal s and parallel lines t and u, the angle that is an alternate angle to angle 5 is angle 11.
Angle 11 is the only angle that is alternate exterior angles with angle 5. therefore, we can conclude that, the number of angles that are alternate exterior with angle 5 is just 1, which is angle 11.
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Plss help...
Write down the rule in the form y=
Answer:
yxthgggggyhfffghgggggvggvvggvv
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
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.
[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____________________
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.
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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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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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:
Someone help me please
Answer:30 degress
3 angles in a triangle equal 180-120=60 60÷2=30
Step-by-step explanation:
Quick algebra 1 assignment for 50 points!
Experts and Geniuses please help asap, TYSM!
Oh by the way this is just a section of the real assignment, the assignment calls for you to make an app that people can play to learn inverse variation & direct variation and stuff.
Hope that helps solve this! :)
By inverse variation, the electric force between the two particles is 5 newtons when they are 20 centimeters apart.
How to use inverse variation to represent a situation
Herein we should present a statement that represents a real life situation and solve that statement. Here is an example:
In accordance with the Coulomb's law, electric force is inversely proportional to the square of the distance between the two electrically charged particles. If you know that electric force is 20 N when the two particles are 10 cm apart, what is the electric force if the distance is doubled.
Based on the statement, we have the following relationship:
F ∝ 1/r²
Where:
F - Electric charge, in newtonsr - Distance between the two electrically charged particles, in centimeters.From such relation, we can determine the resulting force by the following equation:
F/20 = 10²/20²
F = 20 × 10²/20²
F = 5 N
By inverse variation, the electric force between the two particles is 5 newtons when they are 20 centimeters apart.
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