Answers
The 150 m³ cone that has a base radius of 5 meters indicates that the height of approximate length 5.73 meters is greater than the radius (length 5 meters)
How can the height of the cone be found?The given parameters are;
Volume of the cone is V = 150 m³
Base radius of the cone, r = 5 m
The formula for finding the volume of a cone is; [tex]V = \mathbf{\frac{1}{ 3} \cdot \pi \cdot {r}^{2} \cdot h} [/tex]
By plugging in the values for the volume, V and radius, r, of the cone, we have;
[tex]150 = \frac{1}{ 3} \times \: \pi \times {5}^{2} \times h[/tex]
Which gives;
[tex] h = \mathbf{ \frac{150}{ \frac{1}{ 3} \times \: \pi \times {5}^{2} } \approx 5.73} [/tex]
Therefore;
The height, (h ≈ 5.73 meters) is greater than the radius, r = 5 metersLearn more about finding the volume of regular solids here:
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Related Questions
Six times the cube of a number
Answers
Six times the cube of a number x
Six times of the cube of x is 6x³.Given that
The number is x.To find
Six times of the cube of x ?So, according to the question
We have,
The number = xNow, for finding the six times of the cube of x, first we have to find the cube of x
The cube of x = x × x × x= x¹ × x¹ × x¹
∵ The powers will be added when
[tex]a^{m}\times a^{n} = a^{m+n}[/tex]
∴ = x⁽¹⁺¹⁺¹⁾
= x³
Now,
The six times of the cube of x = 6 × (the cube of x)= 6 × (x³)
= 6x³
The six times of the cube of x = 6x³.
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If you were to spin the spinner at left, what would be the probability of landing on green or orange? P(green or orange) Write your answer as a simplified fraction.
Answers
Using it's probability of landing on green or orange would be of:
P(green or orange) = 3/4.
What is the missing information?This problem is incomplete, but researching it on a search engine, it is found that:
Half the area of the spinner is of green.1/4 of the area of the spinner is orange.1/4 of the area of the spinner is purple.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
From the areas of the spinner, the probability of landing on green or orange would be of:
P(green or orange) = 1/2 + 1/4 = 2/4 + 1/4 = 3/4.
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please help me solve the equation, thanks!! :)
|x-1| + 5 = 2
Answers
Answer: x has no solutions
Step-by-step explanation:
|x-1| + 5 = 2
|x-1| + 5 - 5 = 2-5
|x-1| + 5 - 5 = -3
|x-1| = -3 ==> Absolute value functions can't be negative. Hence, there is no solution.
x has no solutions
What is the value of CGD
Answers
Is 3.1 terminating or repeating
Answers
Answer:
Depends if there is a line above the "1".
Step-by-step explanation:
If it were the attached image it would be repeating>>
If not and it's just 3.1, its terminal.
Find the value of z.
X
Z
Z =
Give
your answer in simplest form
PLEASE HELP
Answers
Answer:
6 or 5
Step-by-step explanation:
The value of x is 8.366, y is 4.582 and z is 5.477.
Using Pythagoras theorem in both Triangle as
Triangle 1:
H² = P² + B²
z²= y² + 3²
z² = y² + 9
Triangle 2:
x² = y² + 7²
x² = y² + 49
and, x² = z² - 9 + 49
x² = z² + 40.............(1)
Now, In big Triangle
x² + z² = 10²
x² + z² = 100
Now, from equation (1) we get
z² + 40 + z² = 100
2z² = 60
z² = 30
z = 5.477
and, x²= 30+40 = 70
x= 8.366
and, y²= z² - 9
y² = 21
y= 4.582
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I do not understand how to simplify this can someone please help me?
Answers
Answer:
It's 8¹⁰
Step-by-step explanation:
[tex]8^6 * 8^4 = 8^{(6 + 4)} = 8^{10}[/tex]
Matemáticas
4. Javier pagó $92 por 5 libretas y 3 lápices. Laura compró 2 libretas y 6 lápices, y pagó $56, ¿cuál es el
precio de cada libreta y de cada lápiz
Answers
The price of each book and pencil is $16 and $4, respectively.
System of EquationsA system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.
You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.
First, you should convert the text of the question into a math expression. Then,
Javier pagó $92 por 5 libretas y 3 lápices. You can represent this text as the equation:5B+3L=92, where B= libretas and L=lápices.
Laura compró 2 libretas y 6 lápices, y pagó $56. You can represent this text as the equation:2B+6L=56, where B= libretas and L=lápices.
Therefore,
5B+3L=92 (1)
2B+6L=56 (2)
After that, you should multiply equation(1) by -2. Thus,
-10B-6L=-184(1)
2B+6L=56 (2)
Now, when you sum equations 1 and 2, you eliminate L . Thus, from this sum, you will have:
-8B=-128
B=128/8
B=16
If B=16, from equation 2, you can find L.
2B+6L=56 (2)
2*16+6L=56
32+6L=56
6L=56-32
6L=24
L=4
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Help.... Please....
I'm not good at math.
Answers
The value of x from the figure shown is 2.19
Pythagoras theoremAccording to the Pythagoras theorem, the square of the hypotenuse is equivalent to the sum of the square of other two sides.
From the given diagram, the expression below is true;
6^2 = 3^2 + (3+x)^2
Determine the value of x
36 = 9 + (9+6x + x^2)
36 = 18 +6x+x^2
x^2 + 6x - 18 = 0
On factorizing, the value of x is expressed as;
x = -3 + 3√3
x = -3 + 3(1.732)
x = 2.19
Hence the value of x from the figure shown is 2.19
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HELP
2x+3=7
Substitute your solution for x into 2x+3 and evaluate. What do you get?
Answers
Answer:
x=2
Step-by-step explanation:
2x+3=7
2x=7-3
2x=4
x=4/2=2
x=2
so let x be 2
2x2+3=7
A worker in a silver mine descends 56 feet. Use an integer to represent the change in the worker's position.
Answers
Answer: 56
Step-by-step explanation: The change from the number line is 56
[tex]-6n - 9 -9n = -24[/tex]
Answers
[tex] - 6n - 9 - 9n = - 24 \\ - 15n = - 24 + 9 \\ - 15n = - 15 \\ 15n = 15 \\ n = \frac{15}{15} = 1[/tex]
suppose x and y are proportional. which of the following statements are true? select all that apply.
Answers
Suppose x and y are proportional. 3rd , 4th and 5th options are correct.
What is proportional in an equation?
The equation y = kx represents a proportionate relationship between two quantities y and x that have the same proportionality constant, k. A proportionate relationship exists if an equation in a different form can be rewritten as shown above.Given that x and y are proportional ,
then , x = my for some constant m
Δx = Δ (my) ⇒ m Δy
∴ 3rd option is correct .
x = my
y = 1/m x ⇒ kx
∴ 4th option is correct.
the points ( 0,0) satisfies x = my
the point ( 0, 0 ) is on the graph of y in terms of x .
∴ 5th option is correct .
y = kx
Δy = Δ ( kx) ⇒ k Δx
∴ 1st option is not true .
y = 2x also implies x and y are proportional .
∴ 2nd option is not true .
∵ 3rd , 4th and 5th options are correct.
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The complete question is -
Suppose x and y are proportional. Which of the following statements are true? Select all that apply. Ay = kx, where k is constant Oy=3 D Ax = mAy, where m is constant Oy kä, where k is constant The point(0, 0) is on the graph of y in terms of
Write an inequality to model this statement: Four less than three times a number, n , exceeds ten.
Use nn as your variable.
Answers
Answer: four less than three times a number is 3x - 4. the number plus ten is x + 10. the same means the two statements are equal to each other.
Step-by-step explanation:
Simplify this. Enter your answer in simplest form.
Answers
in the u.s. orphanage experiment, a control group of babies stayed in the orphanage where human interaction was minimal. a second group of babies, the experimental group, was moved to an institution for women with low iqs who showered them with love and attention. the experiment started when the babies were about 19 months old. two and one-half years later both groups were given iq tests. what was the outcome of the experiment?
Answers
The sound group gained IQ points due to the interactions with the women, regardless of their IQ was the outcome of the experiment.
What term is used to describe the idea that people try to control others think about them?
It is claimed that brainwashing impairs a person's capacity for autonomous or critical thought, permits the entry of unwelcome ideas and concepts into their heads, and alters a person's attitudes, values, and beliefs.
Why do people try to control others?
Anxiety disorders and personality problems are the most prevalent. In order to feel at ease, people with anxiety disorders feel the need to control everything around them. They might not have faith in others to manage situations the way they will.Learn more about brainwashing
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A ________ displays the frequency of each class with qualitative data and a ________ displays the frequency of each class with quantitative data.
Answers
Some basic concepts and properties based on bar graph and histogram are discussed underneath.
What is a bar grapht?
A bar graph is generally used to illustrate the entire data in the form of rectangular bars. It is also known by the name bar chart. There occur some gap between the two consecutive bars.
What is a histogram?
A type of graph used to depict the frequency of each class with the numerical data. In histogram, the class intervals have equal sizes and there do not exist any gap between the bars in a histogram.
Fill in the blanks using appropriate term
A __bar graph__ displays the frequency of each class with qualitative data and a _histogram_ displays the frequency of each class with quantitative data.
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32+(-17) is 17 units from 32, in the positive direction
Answers
On the number line, It is true to the claim that the solution to the expression 32 + (-17) is 17 units from 32 in the positive direction.
What is a number line?A number line is an illustration of a graded straight line that represents actual numbers. What we call a "number line" is really a horizontal line with regularly spaced number increments. The number line's response format is determined by the numbers it contains.
All possible numbers may be plotted along a line called a number line. Any real number may be represented by a single dot on a number line.
On the number line, we have the negative numbers on the -ve x-axis to the left and they are smaller than the positive numbers to the right, and this is immediately apparent when looking at a number line.
Given that:
= 32 + (-17)
= 32 - 17
= 17
We can therefore conclude that the given expression shows that we are 17 units far away from 32 in the positive x-axis on the number line.
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What is one similarity and one difference between the parent radical and
exponential functions?
Answers
Similarity: Both are monotonous functions.
Difference: The parent radical function is a decreasing expression and the parent radical function is an increasing expression.
What are the difference and similarity between the parent radical and exponential functions?
Herein we must describe a difference and a similarity between the parent radical function and the parent exponential function, whose definitions are presented below:
Parent radical function
f(x) = √x
Parent exponential function
f(x) = eˣ
One similarity between these two parent functions is that are monotonous functions and one difference is that the parent radical function is a decreasing expression whereas the parent radical function is an increasing expression.
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The Japan Trench is 9 km below sea level. The Peru-Chile Trench is 8 km below sea level. What is the difference of depths between them, and which trench is deeper?
Answers
Tthe difference of depths between them is 1 foot, and the trench which is deeper is the Japan Trench
What is the difference of depths between them, and which trench is deeper?The depths of the trenches are given as
Japan Trench = 9 km below sea level
Peru-Chile Trench = 8 km below sea level
Both trenches are below the sea level
This means that the deeper trench will have the higher absolute value
The trench with the higher absolute value is the Japan Trench
This is so because 9 is greater than 8
The difference of depths between the trenches is
Difference = 9 - 8
Evaluate
Difference = 1
Hence, the difference of depths between them is 1 foot, and the trench which is deeper is the Japan Trench
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Select all the like terms:
A. 5x
B. 7
C. 2x^2
D. 6xy
E. -8
Answers
Answer:
7 and -8
Step-by-step explanation:
Kennedy's car used 11 gallons to travel 319 miles. How many gallons of gas would she need to travel 406 miles?
Answers
Answer:
14
Step-by-step explanation:
319 / 11 = 29
(Quick Check) 11 x 29 = 319
----------------------------------------------
So..
406 / 29 = 14
(Quick Check) 14 x 29
I hope I helped.
Find the coordinates of the midpoint of stack J K with bar on top
J(-1,3), K(7,-1)
is it the answer 3,1 explain?!?!?!?
Answers
The coordinate of the midpoint of line JK is; (3, 1)
What is the Midpoint of the Line?We want to find the midpoint of the line stack JK with bar on top.
The coordinates of the line are;
J(-1,3), K(7,-1)
Now, the formula to find the midpoint is; (x, y) = (x1 + x2)/2, (y1 + y2)/2
Thus, the coordinates of the midpoint of the line are;
(x, y) = (-1 + 7)/2, (3 - 1)/2
(x, y) = 6/2, 2/2
(x, y) = (3, 1)
Thus,the coordinates of the midpoint of line JK is; (3, 1)
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An investor has an account with stick from two different companies last year his stock yk company a was worth 6500 and his stock h was worth 7450 increased 4
Answers
The percentage increase in the value of the stock is 14.62%.
How to calculate the percentage?Thw.investor has an account with stock from two different companies last year his stock yk company a was worth 6500 and his stock h was worth 7450.
The percentage increase will be:
= Change in value / Initial value × 100
= (7450 - 6500) / 6500 × 100.
= 950/6500 × 100
= 14.62%
Therefore, percentage increase in the value of the stock is 14.62%.
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An investor has an account with stick from two different companies last year his stock yk company a was worth 6500 and his stock h was worth 7450. Calculate the percentage increase.
4
The lengths of four trails are listed below.
Oak Trail
Maple Trail
Pine Trail
Spruce Trail
10.653 kilometers
10.592 kilometers
10.732 kilometers
10.484 kilometers
Which trail is closest in length to 10.5 kilometers?
A Oak Trail
C Pine Trail
B Maple Trail
D
Spruce Trail
Padma chose B. How did she get that answer?
Which numbers.
need to compared
Answers
The trail that is closest in length to 10.5 kilometers is Spruce Trail. option D
How to determine the closest trailFrom the information given, we have that;
Oak Trail = 10.653 kilometersMaple Trail = 10.592 kilometersPine Trail = 10.732 kilometersSpruce Trail = 10.484 kilometersThe closest in length would be the trail with the lowest difference;
Oak trail = 10.653 - 10. 5 = 0. 153
Maple Trail = 10.592 - 10. 5 = 0. 092
Pine Trail = 10.732 - 10. 5 = 0. 232
Spruce Trail = 10.484 - 10. 5 = -0. 016
Thus, the trail that is closest in length to 10.5 kilometers is Spruce Trail. option D
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A_S_A_P PLS :)
I need help with Middle school math question in grade 7
So can someone show me the work you did for this :)
"Three bags of lawn seed covers 1800 ft2. How many bags are needed to cover 8400 ft2"
Answers
Answer:
14 bags
Hope this helps :)
Step-by-step explanation:
1. 1800 ÷ 3 = 600
2. 8400 ÷ 600 = 14 bags
Answer:
4
Step-by-step explanation:
1800/3 = 600
We know that every pound covers 600 square feet:
8400/600 = 14
14/4 = 3.5 (round up) so it would become 4.
I know I am late but here :)
Bradley and angie can mow their yard together with two lawn mowers in 30 minutes. when bradley works alone, it takes him 50 minutes. how long would it take angie to mow the lawn by herself?
Answers
Angie would take 75 minutes to mow the lawn by herself.
What is the time?Time can be defined in mathematics as an ongoing and constant sequence of events that occur in succession, from the past to the present to the future. Time is being used to quantify, measure, compare, and even sequence events.To find out how long will Angie take to mow the lawn:
Let's take Angie's time as x.
So, 30/50 + 30/x = 1Now, multiply by 50x to obtain:
30x + 1500 = 50x1500 = 20xx = 75 minutesTherefore, Angie would take 75 minutes to mow the lawn by herself.
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lcd of 2/3 and 3/4 ?
Answers
Answer:
The LCD of 2/3 and 3/4 is 12.
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Least common denominator is the common denominator, which is the bottom number, that two fractions share.
[tex]2/3 = 2/3 \cdot 4/4 = 8/12\\3/4 = 3/4 \cdot 3/3 = 9/12[/tex]
➲ Hope this helps.
Use the Law of Syllogism to draw a valid conclusion from each set of statements, if possible. If no valid conclusion can be drawn, write no valid conclusion and explain your reasoning.If you interview for a job, then you wear a suit.
If you interview for a job, then you will update your resume.
Answers
The statements are not valid syllogisms.
What is syllogism?The term syllogism has to do with the reasoning in which a premise must lead to a conclusion. In other words, the conclusion must logically follow from the premise that has been given.
Let us now see if the statements follows the laws of syllogism;
Statement 1 - If you interview for a job, then you wear a suit.
Statement 2 - If you interview for a job, then you will update your resume.
Looking at these statements it is easy to see that they are not valid syllogism. This is because, not every job requires you to wear a suit for interview. You could have a CV that does not need to be updated and still use it for an interview.
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This diagram is a straightedge and compass construction.
S
Select all the true statements.
A) Triangle STU is isosceles.
B) Triangle STU is equilateral.
C) Each side of triangle STU is composed of two radii that have the same
length.
D) In triangle STU, two sides are radii of circle T but the third side, segment
SU, is not a radius of any circle shown in the diagram.
☐E) Triangle VWZ is equilateral.
OF) Each side of triangle VWZ is composed of two radii that have the same
length.
Answers
The true statements are: (A), (D), (E) and (F).
Statement A is true. A triangle is said to be isosceles if its two sides are of equal length. Considering the triangle STU, the sides ST and TU are the radius of the same circle centered at T and hence of same length. So triangle STU is isosceles.
Statement B is false. In triangle STU, ST and TU being radii of circle T, are equal. But the third side SU is not a radius of any circle in the diagram and so not equal to ST and TU. Since three sides are not of same length, triangle STU is not an equilateral triangle.
Statement C is false. In Triangle STU two sides are composed of a single radii and not of two radii. The third side is not composed of radii.
Statement D is true. In triangle STU, two sides are radii of circle T but the third side, segment SU, is not a radius of any circle shown in the diagram.
Statement E is true. In triangle VWZ, each side is composed of 2 radii which are of same length. Hence three sides are equal and so it is an equilateral triangle.
Statement F is true. Each side of triangle VWZ is composed of two radii that have the same length.
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