If a given point, P, exists on a great circle on the surface of a sphere, no line can be drawn on the sphere that is parallel to the great circle because each pair of great circles(parallel lines) will always intersect, regardless of how they are drawn.
Why are there no parallel lines in spherical geometry?Lines are described as the large circles that round the sphere. A great circle is a circle with its center in the center of the sphere. Any two great circles will meet at two opposed places. Hence "parallel lines" do not exist (great circles) on a sphere. Because a line is defined as a great circle, we can deduce that each line passes through two antipodal points, dividing the sphere in half. If two lines (great circles) are drawn, they will always cross paths as they travel over to the opposite hemisphere.To learn more about Spherical Geometry visit:
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pls help me it so so hrad pls
The triangle in the right side of the first row, the triangle in the left side of the second row and the triangle in the left side of the third row are labeled correctly.
What triangles are represented correctly?
Triangles can be defined in terms of their base and their height. Both are linear measures. The base is one side of the triangle and the height is a line perpendicular to the base that meets the vertex opposite to the base.
Based on this explanation we find that the triangle on the right of the first row, the triangle on the left of the second row and the triangle on the left of the third row are labelled correctly.
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ON SATURDAY MORNINGS FROM 9:00 UNTIL NOON, BRENT WATCHES A GROUP OF PRESCHOOLERS WHILE THEIR PARENTS WORK OUT IN THE GYM. BRENT EARNS $7.25 PER HOUR PLUS $1.00 PER CHILD. TODAY THERE ARE 7 CHILDREN…HOW MUCH WILL BRENT EARN? SHOW YOUR WORK IN THE SOLUTION BOX AND CIRCLE YOUR FINAL ANSWER. PLACE IN THE BASKET WHEN FINISHED.
After conducting some mathematical operations, we know that Brent earned $28.75.
What are mathematical operations??A mathematical function known as an operation converts zero or more input values into a precisely defined output value.The quantity of operands affects the operation's arity.The order of operations refers to the rules that define the sequence in which we should perform the operations necessary to solve an expression.Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction are all referred to as PEMDAS (from left to right).So, the amount Brent will earn when there are 7 children:
Brent earns $7.25 per hour and he watched kids from 9:00 am to noon which is 3 hours.
$7.25 × 3 = $21.75He earns $1 per child and there are 7 children present, then:
7 × 1 = $7Total amount he earned: $21.75 + $7 = $28.75
Therefore, after conducting some mathematical operations, we know that Brent earned $28.75.
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The correct question is given below;
ON SATURDAY MORNINGS FROM 9:00 UNTIL NOON, BRENT WATCHES A GROUP OF PRESCHOOLERS WHILE THEIR PARENTS WORK OUT IN THE GYM. BRENT EARNS $7.25 PER HOUR PLUS $1.00 PER CHILD. TODAY THERE ARE 7 CHILDREN…HOW MUCH WILL BRENT EARN?
True or False? A circle could be circumscribed about the quadrilateral below.B68"O A. True90"O B. False90°112"D
hello
the answer to this question is false
if liz has 5 ken dolls how many barbie dolls would she have?
Make r the subject of the formula t=r/r-3
[tex]r =\frac{3t}{(t-1)}[/tex] is the r subject of the formula t=r/r-3
How is r made the subject of t=r/r-3?
[tex]t =\frac{r}{r-3} \\\\t(r-3) =r\\\\tr - 3t = r\\\\tr- r = 3t\\\\r(t-1)=3t\\\\r = \frac{3t}{(t-1)}[/tex]
What does making r the subject mean?
Rearranging the formula or equation so that we have a single r variable that is equivalent to the other variables in the formula is necessary to make r the subject of the formula or equation.Each term containing r should be placed on the same side of the equation after rearranging the equation.Factorization may be necessary if r appears in multiple terms.To make r the subject, only one r needs to be shown at the end.When we square root a number or variable as an inverse operation, the outcome can be either positive or negative.To learn more about making r the subject, refer:
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What is the value of s?S 120°
At first let us draw a sketch to show the position of the given angle
10
√
6
÷
2
√
2
I’m having trouble with this question..please could someone help
The radical expression 10√6 ÷ 2√2 has a value of 5√3, when evaluated
How to evaluate the expression?The expression is given as
10√6 ÷ 2√2
The above expression is a radical expression
So, we have
(10√6 ÷ 2√2) = (10 ÷ 2) x (√6 ÷ √2)
Evaluate the quotient of 10 and 2
So, we have
(10√6 ÷ 2√2) = 5 x (√6 ÷ √2)
Rewrite the expression as
(10√6 ÷ 2√2) = 5 x √(6 ÷ 2)
Evaluate the quotient of 6 and 2
(10√6 ÷ 2√2) = 5 x √3
This gives
(10√6 ÷ 2√2) = 5√3
Hence, the value of the expression is 5√3
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Find the distance of the line segment formed by (-3, 4) and (-2, 3)
[tex]\sqrt{2}[/tex] units
The line segment formed by joining (-3, 4) and (-2, 3) , the distance of line segment is [tex]\sqrt{2}[/tex] units
Solution:A line segment is defined as the area between two distinct points on a line. A line segment is a section of a line that connects two points. A line has no endpoints and extends in both directions indefinitely, whereas a line segment has two fixed or definite endpoints.when the coordinates of the two endpoints are given, the length of a line segment In this case, we employ the distance formula,D = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]
Given two points , (-3 , 4) and (-2 , 3)
to find the distance formula is ,
distance = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]
by substituting the values,
d = [tex]\sqrt{(-2 - (-3)^{2} + (3 - 4)^{2} }[/tex]
d = [tex]\sqrt{(-2 + 3)^{2} + (-1)^{2} }[/tex]
d = [tex]\sqrt{1^{2} + (-1)^{2} }[/tex]
d = [tex]\sqrt{2}[/tex] units.
So the distance of line segment formed by joining (-3, 4) and (-2, 3) is
[tex]\sqrt{2}[/tex] units.
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Can someone help me with this math one to please and thank you
Work out the value of (√99 - √11)²
Answer: 44
Step-by-step explanation:
(√99 - √11)²
simplify the expression
(3√11 - √11)^2
collect like terms
(2√11)^2
use the properties of exponents
4 x 11
answer: 44
PLEASEEE HELP
27 points
Answer:
It should be the dot in between 3.8 and 3.9.
Step-by-step explanation:
Well, the square root of 15 is approximately 3.87. So, find the dot where you think 3.87 is. It should be the dot in between 3.8 and 3.9.
the circle below is centered at the point (4,3) and had a radius of length 5 what is its equation ?
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Circle
center (4 , 3)
radius = 5
equation of the circle = ?
Step 02:
equation of the circle
(x - h)² + (y - k)² = r ²
(h , k) ===> center
r ===> radius
(x - 4)² + (y - 3)² = 5²
(x - 4)² + (y - 3)² = 25
The answer is :
(x - 4)² + (y - 3)² = 5²
13. A bird called the purple martin can eat
2400 mosquitos in 40 minutes. At that rate,
how many can it eat per minute?
Answer:
It can eat 60 mosquitos in 1 minute.
Step-by-step explanation:
[tex]2400[/tex] ÷ [tex]40[/tex] [tex]= 60[/tex]
What the answer for 908x64=
Answer:
908x64=58112
hope it helps you
Answer:
58112
Step-by-step explanation:
Solution
908×64=58112
hence required answer is 58112.
Tell which equation you would use to solve for one of the variables when solving the system by substitution. Explain your reasoning.
Number 7 2x + 3y =5
4x - y =3
Number 8
2/3x + 5y = -1
x + 6y = 0
Number 9
2x + 10y = 14
5x - 9y = 1
Answer:
ANSWER FOR QUESTION 7
X=1,Y=1
Step-by-step explanation:
2x+3y=5.
4x-y=3.
In this question, we simply find the value of y from equation 2 because by doing this there will be no term in the denominator so it quiet be easy for us.
y= -3+4x(4x-3) put in eq 1
2x+3(4x-3)=5
2x+12x-9=5
14x=14
divide 14 into both sides
x=1.
put in eq 1 or eq 2 to find the value of y Answer will be the same.
let's put in eq 1
2(1)+3y=5
3y=3
divide 3 into both sides
y=1.
Same for question 8 and 9.
An equilateral triangle with side lengths
5 inches is translated 3 units down and 2 units right. Describe
the shape and dimensions of the translated figure.
This suggests that the equilateral triangle's sides' measurements remain unaltered.
What is coordinate plane ?A coordinate plane is a surface with two dimensions made up of two number lines. It is created when the origin, the point at which the X-axis and Y-axis cross, is reached. To locate points, one uses the numbers on a coordinate grid.
Sides = 5 inches
Given
Sides = 5 inches
Translation = 3 units (down) and 2 units (right)
Required
Determine the length of one side after translation
It should be emphasized that just the position of a shape, line, or object changes when it is translated by moving its position, not its length.
This suggests that the equilateral triangle's sides' measurements remain unaltered.
Hence:
Sides = 5 inches
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before launching its latest line of health drinks, a beverage manufacturer provided free samples of the health drinks to a large and culturally diverse set of families. it then conducted a survey with mostly open-ended questions where the participants were asked about their first impressions about the drinks. this is an example of research. question 10 options: 1) qualitative 2) analytical 3) quantitative 4) laboratory 5) statistical
Before the launching its latest line of health drinks, a beverage manufacturer provided free samples of the health drinks to a large and culturally diverse set of families. This is a qualitative research.
What is a Qualitative research?Qualitative research is the study of the nature of phenomena and is particularly effective for clarifying why something is (or is not) seen, assessing complicated multi-component interventions, and focusing on intervention improvement.
Data from first-hand observation, interviews, questionnaires, focus groups, participant-observation, recordings recorded in natural settings, documents, case studies, and artifacts are used in qualitative research. The information is mostly non-numerical.
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12.36 foreign-language study. choose a student in a u.s. public high school at random and ask if he or she is studying a language other than english. here is the distribution of results: language spanish french german all others none probability 0.30 0.08 0.02 0.03 0.57 explain why this is a legitimate probability model. what is the probability that a randomly chosen student is studying a language other than english? what is the probability that a randomly chosen student is studying french, german, or spanish?
The probability that a randomly chosen student is studying a language other than English is 0.43.
The probability that a randomly chosen student is studying french, german, or Spanish is 0.4.
This is a legitimate probability model since the random variable as well as the probability distribution function otherwise known as pdf has been provided in the question.
From the question, we can obtain the pdf as follows;
Language: Spanish French German All others None
Probability: 0.30 0.08 0.02 0.03 0.57
The probability that a randomly chosen student is studying a language other than English is 1 - 0.57 = 0.43.
The probability that a randomly chosen student is studying french, german, or Spanish is the sum of the individual probabilities of french german, and Spanish which is equal to
0.30 + 0.08 + 0.02 = 0.4.
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is the number of birds in different regions discrete or continuous
The number of birds in different regions is a discrete variable.
What is Discrete data?Discrete data can only have certain values. There may be an endless number of those values, but each one is distinct, with no grey space in between. Discrete data can be numerical, such as the number of apples, or categorical, such as red or blue, male or female, or good or bad.
The discrete variable is the number of birds.
This variable is not continuous in this case because we count the number of birds rather than measure them.
The continuous variables are measured rather than counted. For example, weight, height, and so on.
As a result, the quantity of birds in various places is a discrete variable.
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Sandra's music bag contains:
3 traditional country songs
6 traditional rock songs
4 hip-hop rap songs
5 contemporary country songs
1 Latin rap song
3 traditional pop songs.
A. What is the probability that the player will select some rap music next?
B. Find P(traditional), that is, the probability that the player will randomly select traditional music of any kind.
C. Find P(traditional pop).
D. Find P(not country), the probability that the next song is not country music.
Answer:
Step-by-step explanation:
A: 1/6
B: 1/2
Ben is a pool technician who is preparing a client's pool for the winter by draining the water. For each hour that he drains the pool, the volume of the water in the pool decreases by approximately how many gallons?
The volume of the water in the pool decreases by 7200 gallons an hour, considering the slope of the linear function.
What is a linear function?The slope-intercept representation of a linear function is given as follows:
y = mx + b
The coefficients of the function are described as follows:
m is the slope of the function, representing the rate of change of the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the value of y when the function crosses the y-axis, which in contexts such as this problem, that does not work with negative numbers, is the initial value of the function.From the given graph, two points are given as follows:
(2,8640) and (4,7200).
Given two points, the slope is given by change in y divided by change in x, hence:
m = (7200 - 8640)/(4 - 2) = -720 gallons an hour.
Missing informationThe graph of the function is given by the image at the end of the answer.
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Hey i need help!!!!
What do the following two equations represent?
*6x-15y=15
*y=2/5x-1
The given two equations represent that 6x-15y=15 is equal to y=2/5x-1 And they have the same slope 2/5.
What is equation?Equations are logical statements in mathematics that are denoted by an equals (=) sign and two algebraic expressions on either side of it. It is demonstrated that the expressions on the left and right are equal to one another.
All mathematical equations start with LHS = RHS (left hand side = right hand side). To find the value of an unknown variable, or unknown quantity, you can solve equations. If the statement does not contain a "equal to" symbol, it is not an equation. It will be considered as an expression.
We have been asked to find the value of x and y in 6x-15y=15 and y=2/5x-1
Let solve for y = 2/5x-1
in 6x - 15y = 15
⇒ 6x - 15(2/5x-1) = 15
⇒ 6x - 6x + 15 = 15
⇒ 15 = 15
⇒ This mans they have slope
⇒ 6x - 15y = 15 in y-intercept form
⇒ 15y = 6x - 15
⇒ 15y = 6x - 15
⇒ y = (6x - 15)15
⇒ y = 2/5x - 1
Thus, 6x-15y=15 is equal to y=2/5x-1 And they have the same slope 2/5.
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What must be added to -9.46 to yield 7.489?
Let the number to be added = x
so the equation will be
-9.46+x=7.489
x=7.489+9.46
as the sign changes on the other side of the equals sign
x=16.949
To check: -9.46+16.949
=7.486
So the number to be added is 16.949
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Darryl deposits $1,500 into a savings account that has a simple interest rate of 2.7%.
Lori deposits $1,400 into a savings account that has a simple interest rate of 3.8%.
If no other transactions are made, who will have more money in their account after 10 years? How much more step by step explanation please
Lori will make more than Darryl, then the after 10 years Lori will have make $27.00 more in their account.
Darryl deposits into a savings = $1,500
Account that has a simple interest rate = 2.7%.
Lori deposits into a savings = $1,400
Account that has a simple interest rate = 3.8%.
Let us assume,
[tex]P_{1}[/tex] = $1,500
[tex]r_{1}[/tex] = 2.7%.
[tex]r_{1}[/tex] = 2.7/100
[tex]r_{1}[/tex] = 0.027
After 10 years = t = 10years
The formula to calculate simple interest is,
[tex]A_{1}[/tex] = [tex]P_{1} (1+r_{1} t)[/tex] (Equation-1)
[tex]P_{1}[/tex] = Principal amount
[tex]r_{1}[/tex] = rate of interest ( in decimal )
t = time
First we calculate Darryl's deposit,
So we can substitute values in the equation-1,
[tex]A_{1}[/tex] = 1,500(1 + 0.027×10)
[tex]A_{1}[/tex] = 1,500 ( 1+0.27 )
[tex]A_{1}[/tex] = 1,500 × 1.27
[tex]A_{1}[/tex] = $1905
Now we will calculate Lori's deposit,
[tex]A_{2}[/tex] = [tex]P_{2} (1+r_{2} t)[/tex] (Equation-2)
[tex]P_{2}[/tex] = $1,400
[tex]r_{2}[/tex] = 3.8%.
[tex]r_{2}[/tex] = 3.8/100
[tex]r_{2}[/tex] = 0.038
So we can substitute values in the equation-2,
[tex]A_{2}[/tex] = 1,400 ( 1 + 0.038 × 10 )
[tex]A_{2}[/tex] = 1,400 ( 1 + 0.38 )
[tex]A_{2}[/tex] = 1,400 × 1.38
[tex]A_{2}[/tex] = $1,932
Darryl will make money after 10 years = $1905
Lori will make money after 10 years = $1,932
Hence,
Lori will make more than Darryl,
Then the difference will be = 1,932 - 1,905 = $27
Therefore,
After 10 years Lori will have make $27.00 more in their account.
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what is the answer to this equation?
For given graph of function, the x-intercepts are:
x = 0 and x = 4
In this question, we have been given a graph of a function.
We need to find the x-intercept for given graph.
We know that, the points at which the graph of function intersects the X-axis are known as x-intercepts.
We can observe that the graph intersects X-axis at points (0, 0) and (4, 0)
Therefore, for given graph of function, the x-intercepts are:
x = 0 and x = 4
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Put these numbers in order from least to greatest min 0.36 0.19 0.78 3/5
Convert all numbers to decimals
[tex]\frac{3}{5}=0.6[/tex]since there are no negative numbers use the first decimal place to order them.
0.19 0.36 0.6-3/5 0.78
Look at the function that is graphed below. 5 4 9 3 2 T -5 -4 -3 210 T N 3 w 5 up 3 4 5 6 What is the domain and range of the function?
Answer:
Domain: [-4, 5]
Range: [-3, 3]
Step-by-step explanation:
Domain is the set of all permissible x values ie the values of x for which the function is defined.
Range is the set of all values of the function ie f(x) or y in tis graph for the domain
Looking at the graph we can see that the smallest value for x is -4 and the largest value is +5
Domain is [-4, 5]
For these values, y ranges from smallest of -3 to largest of + 3
So Range is [-3, 3]
7. Copy and complete to factorise the expression.
3x2+5x-2=(3x___)(x___)
Answer:
(3x - 1)(x + 2).
Step-by-step explanation:
3x^2 + 5x - 2
= 3x^2 + 6x - x - 2
= 3x(x + 2) - 1(x + 2)
= (3x - 1)(x + 2).
You are making a cake for a friends birthday and bought 2 3/5 pounds of butter. if each layer of the cake requires 1/3 pound of butter, how many layers can you make from 2 3/5 pounds of butter?
Answer: 7 full layers
Step-by-step explanation: well 2 can be changed to 6/3, and 6/3 divided by 1/3 is 6 layers from two pounds. Then the tricky part is the 3/5, but you can make a common denominator, aka to make a layer is 5/15, and the amount ou have (besides the two pounds) is 9/15. 9/15 is enough for one more 5/15, making an extra layer, aka 7 full layers.
A 33 degree angle is a(n)
Answer:
acute
Step-by-step explanation:
Answer:
acute angle
Step-by-step explanation:
89 degrees - = acute angle
90 = right angle
91+= obtuce
180= straight angle
