Which of the following are among the basic postulates of Euclidean Geometry?
A) Any straight line segment can be extended indefinitely.
B) All right triangles are equal.
C) A straight line segment can be drawn between any two points.
D) All right angles are equal.
Any straight line segment can be extended indefinitely and straight line segment can be drawn between any two points can apply. Therefore, options A and D are the correct answers.
What is Euclidean geometry?"Euclidean geometry is the study of plane and solid figures on the basis of axioms and theorems employed by the Greek mathematician Euclid"
As per the five basic postulates of Euclidean geometry
A straight line can be drawn from any point to another point.
A terminated line can be further produced indefinitely.
A circle can be drawn with any Centre and any radius.
All right angles are equal to one another.
If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles , then the two lines inevitably must intersect each other on that side if extended far enough.
Therefore, options A and D are the correct answers.
To learn more about Euclidean Geometry here:
brainly.com/question/7954280
#SPJ7
You roll a 6-sided die.
What is P(divisor of 63)? Choose the closest answer.
Answer:
the divisors of 63 are
Step-by-step explanation:
1,3,7,9,21,63
Answer:
Fraction Form: 2/6 or 1/3
or Decimal Form: .333
or Percent Form: 33.333?%
Step-by-step explanation:
The divisors of 63 that are 1-6 is 1 and 3
So there are TWO numbers out of SIX.
We would turn that into the fraction 2/6 and then simplify (optional) it to 1/3.
Then we use 2/6 to convert it to multiple forms if needed.
A store purchases an item wholesale for $60 and marks it up by 70 percent. If there is a 7 percent tax on the item, how much will the item cost?
$42.00
$96.00
$102.00
$109.14
Answer:
$109.14
Step-by-step explanation:
This is correct!
Answer:
D/ $109.14
Step-by-step explanation:
i did the quiz
There are eight shirts in your closet, four blue and four green. You randomly select one to wear on Monday and then a different one on Tuesday. You wear blue shirts both days.
show work pls Thanks!
Answer:
\(\frac{3}{14}\)
Hope this is right :)
Step-by-step explanation:
Hopefully the question is asking probability.
There is a \(\frac{1}{2}\) chance of wearing a blue shirt on Monday.
Then if you get a blue shirt on Monday, you have to wash that one.
There are now 3 blue shirts and 4 green shirts.
There is now a \(\frac{3}{7}\) chance of getting a blue shirt.
\(\frac{1}{2} *\frac{3}{7} = \frac{3}{14}\)
Question 1:25 Marks Plot the vector fieid (1,0052x) in the range 0
to plot the vector field (1,0052x) in the range 0, we need to calculate the y-component for each x-value in the selected range, and then plot the corresponding vectors on a graph.
To plot the vector field, we need to understand its components and how they vary with respect to the given range.
The vector field (1,0052x) has two components: the x-component is constant and equal to 1, and the y-component is given by 0.052 times the value of x.
To plot this vector field, we can start by selecting a range of x-values, say from 0 to 10. We can then calculate the corresponding y-values using the given equation.
For example, when x = 0, the y-component is 0.052 * 0 = 0. Similarly, when x = 1, the y-component is 0.052 * 1 = 0.052. We can continue this process for each x-value in the selected range.
Once we have the x and y-components for each point, we can plot them on a graph. Each point will represent a vector with an x-component of 1 and a y-component corresponding to the calculated value.
By connecting these points, we can visualize the vector field. Each vector will have a length of 1 and a direction determined by the angle it makes with the x-axis.
Remember to label the axes and provide a title for the graph to make it clear what is being represented.
To know more about vector field Visit:
https://brainly.com/question/33362809
#SPJ11
x+5/2=10 linear equations step by step explantion
See attachment for math work and answer.
Someone help me do further maths ‘transformations of graphs and functions’ question
Answer:
see attached
Step-by-step explanation:
just draw a narrower one, about 1/2 of the x value.
Hunh put 4000 in a savings account that earns 7% simple inerest annually after 5 years, how much money will hunh have ?
Answer:
5,400.00
Step-by-step explanation:
hope this helps
PLEASE HELP
Find the solution in the system of equations using substitution:
Equation #1 has a slope of 2 and a y-intercept of 3
Equation #2 has a slope of -6 and a y-intercept of -5
( , )
Answer:
i dont understand either
Step-by-step explanation:
PLEASE HELP ITS ABOUT TO BE DUE
When the value of y = -2, what is the solution to the equation 4(x - 3y) = 6(x - 3y)?
Answer:
x=-1
Step-by-step explanation:
4(x-3(-2))=6(x-3(-2)) => 4(x+6)=6(x+6) => 4x+24=6x+26 => -2=2x => x=-1
uh....
yeah
askasasjkas
The relevant details from the poem and the description of how they develop the subject are:
"Then there's a pair of us - don't tell!" - Being nobody does not mean being alone."They'd banish us, you know." - Being nobody is viewed as a bad thing."How dreary to be somebody!" - It can be seen as a positive to be nobody.What do the details in the poem describe?The fact that the narrator mentions how there are a pair of them means that they are not alone. It means that just because they are a nobody does not mean that they consider themselves to be alone.
The fact that they could be banished means that being a nobody is a bad thing that warrants the punishment of being banished from the society in question.
When a person is deary, it means that they are doing something that can either bring them praise or punishment which means that being somebody can either be positive or negative so it can be a positive to be a nobody.
Find out more on details of the poem at https://brainly.com/question/26692099
#SPJ1
In a lab experiment, 5000 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 12 hours. How long would it be, to
the nearest tenth of an hour, until there are 22100 bacteria present?
Answer:25.7
Step-by-step explanation:
can someone tell me what this figure is HEEEEEEEEEELP !!!!!!!
Answer:
Step-by-step explanation:
its a variable. this one represents x. a variable is something that represents an unknown value.
what is the answer to 6x+12=4x-18
Answer:
x = -15
Step-by-step explanation:
6x +12 = 4x - 18
-4x -4x
2x + 12 = -18
-12 -12
2x = -30
2 divided by x -----------> 2 divided by -30 = -15
x = -15
Hope this Helps!!!!!
Find the volume of the figure.
A) 111 in3
B) 165 in3
C) 201 in3
D) 309 in3
Answer:your answer is B.) 165 in3
Question Content Area
Net Present Value
A project has estimated annual net cash flows of $15,000 for ten
years and is estimated to cost $47,500. Assume a minimum acceptable
rate of return of 20%. Use
The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.
Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.
Net Present Value = 150000 / (1 + 0.20)^10 - 47500
Net Present Value = $67,482.22
Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.
Know more about NPV here:
https://brainly.com/question/32720837
#SPJ11
Today the population of a city is 250,000 and is growing at a rate
of 4% per year. When or how many years will the population reach
850,000
Step-by-step explanation:
Principal = 250,000
Rate = 4%
Simple interest = 850,000
Time = ?
\(t = \frac{100 \times interest}{principal \times rate} \\ t = \frac{100 \times 850000}{250000 \times 4} \\ t = \frac{100 \times 85}{25 \times 4} \\ t = \frac{8500}{100} \\ t = 85years\)
(04.04 MC)
What is the 8th partial sum of 10,000 -2,000+400-80+...? Round your answer to the thousandths place.
12,499.970
O9,999.974
8,333.333
8,333.312
Answer:
C
Step-by-step explanation:
Answer:
8,333.312
Step-by-step explanation:
I did the test...
Which equation has the solution x=4?
Answer: Option C is correct.
Part A
⇒ 4x = 20
⇒ x = 20/4
⇒ x = 5
Part B⇒ x/2 = 8
⇒ x = 8(2)
⇒ x = 16
Part C⇒ x + 8 = 3x
⇒ 3x - x = 8
⇒ 2x = 8
⇒ x = 4
Part D⇒ x = (x + 5)/2
⇒ 2x = x + 5
⇒ 2x - x = 5
⇒ x = 5
Here are sketches of four triangles in each triangle the longest side is exactly 1cm the other length is given to 2 decimal places work out the value of x give your answer to 1 decimal place 4 cm 57°
If the hypotenuse is 4 cm and an angle is 57°. Then the measure of the length of the side x will be 3.36 cm.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The right triangle is given with a hypotenuse of 4 cm and an angle of 57°.
Then the value of x will be
The value of x will be given by the sine rule.
sin θ = x/h
WE have
θ = 57°
h = 4 cm
Then we have
sin 57° = x/4
x = 3.3546
x ≅ 3.36
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ1
Please help will mark brainliest
Answer:
(4,-1) and 6
Step-by-step explanation:
How many kilograms of chocolate will each person get if 4 people share 13 of a kilogram of chocolate equally?
Step-by-step explanation:
hope it helps
plz rate my answer
The dot plot below represents this set of data:
8, 7, 5, 5, 4, 2, 3, 3, 4, 6, 5, 4, 5, 5
Answer:
False
Step-by-step explanation:
There isnt two eights
To get snacks for a class trip, Clare went to the “bulk” section of the grocery store, where she could buy any quantity of a product and the prices are usually good.
Clare purchased some salted almonds at $6 a pound and some dried figs at $9 per pound.
She spent $75 before tax.
If she bought 1 pounds of figs, how many pounds of almond did she buy?
A data set is Normally distributed with a mean of 25 and a standard deviation of 8. If you calculate the standard score of every observation in this data set, the resulting scores will have a distribution that has
Answer:
The answer is "A mean of 0 and a standard deviation of 1".
Step-by-step explanation:
The standard answer of its following formula is calculated by:
\(\to z=\frac{X-\mu}{\sigma}\)
Its standard score relates to the sampling distribution with the normal distribution average standard variation of 0 and 1, correspondingly. The mean for a standard scoring is 0, and the normal deviation is 1. that's why the mean=0, standard deviation=1.
The side lengths of a 45-45-90 triangles are in the ratio 1:1:square root 2. What is cos 45 degree ?
The cosine of 45 degrees is √2 / 2.
In a 45-45-90 triangle, the two legs are congruent and the hypotenuse is √2 times the length of each leg. The angles of a 45-45-90 triangle are 45 degrees, 45 degrees, and 90 degrees.
To find the cosine of 45 degrees, we can use the definition of cosine in a right triangle, which is defined as the ratio of the adjacent side to the hypotenuse. In a 45-45-90 triangle, the adjacent side and the hypotenuse are the same length.
Since the side lengths of a 45-45-90 triangle are in the ratio 1:1:√2, let's assume the length of one leg is x. Then, the length of the other leg is also x, and the length of the hypotenuse is √2x.
Now, let's consider the cosine of 45 degrees:
cos(45 degrees) = adjacent side / hypotenuse
= x / √2x
= 1 / √2
To simplify the expression, we can multiply both the numerator and the denominator by √2:
cos(45 degrees) = (1 / √2) * (√2 / √2)
= √2 / 2
for more questions on cosine
https://brainly.com/question/24305408
#SPJ8
How you use the Pythagorean theorem in 3D.
Answer:
If the base of the prism has dimensions x and y, and the diagonal along the base is represented by c, then x² + y² = c². The longest diagonal in the solid, s, is the hypotenuse of the triangle formed by the sides c and the height of the solid, z. So we know that, c² + z² = s².
Step-by-step explanation:
A set of data with a normal distribution has a mean of 16.4 and a standard deviation of 3.2. 68% of the data falls between what two numbers?
68% of the data falls between one standard deviation from the mean which is 13.2 and 19.6
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
The empirical rule states that 68% of the data falls within one standard deviation, 95% within two standard deviation from the mean and 99.7% falls within three standard deviation from the mean.
Given a mean of 16.4 and a standard deviation of 3.2.
68% of the data falls one standard deviation from the mean = 16.4 ± 3.2 = (13.2, 19.6)
68% of the data falls between 13.2 and 19.6
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
4 What is the total perimeter?
(2 pts)
4ft,
12 ft.
Show ur work 30 points
\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)
let's solve ~
Perimeter of the composite figure :
Perimeter of rectangle + circumference of semi circle - common side.
Perimeter of rectangle :
\(\qquad \tt \dashrightarrow \:2(4 + 12)\)
\(\qquad \tt \dashrightarrow \:2(16)\)
\(\qquad \tt \dashrightarrow \:32 \: \: ft {}^{} \)
Circumference of Semicircle :
\(\qquad \tt \dashrightarrow \:\pi r\)
\(\qquad \tt \dashrightarrow \:3.14 \times 2\)
\(\qquad \tt \dashrightarrow \:6.28 \: ft\)
Length of common side = 4 feet
So, perimeter of composite figure :
\(\qquad \tt \dashrightarrow \:32 + 6.28 - 4\)
\(\qquad \tt \dashrightarrow \:34.28 \: ft\)
350 students at the middle school ride the bus home and 50 of them walk home. What percent of students walk home?
Answer:
14.29%
Step-by-step explanation:
calculate the fraction by dividing it, then multiply that fraction value by 100 and add a precent sign, thats about it
50/350 = 0.14285714285
0.14285714285 x 100 = 14.2857142857
round it and get 14.29
add a percentage sign and tadaa!
14.29%