They will be 15 miles apart after one hour if they left the same point at the same time.
How do we measure and calculate the distance in Geometry?The distance between two points in geometry can be calculated by using the Pythagoras theorem.
Mathematically, the Pythagoras theorem can be expressed as:
[tex]\mathbf{d = \sqrt{x^2 +y^2}}[/tex]
where;
x and y are opposite and adjacent sides respectively.[tex]\mathbf{d = \sqrt{(9)^2 +(12)^2}}[/tex]
[tex]\mathbf{d = \sqrt{81+144}}[/tex]
[tex]\mathbf{d = \sqrt{225}}[/tex]
d = 15 miles
Therefore, we can conclude that they will be 15 miles apart after one hour if they left the same point at the same time.
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1. What is the area of the polygon? Show your work.
PotrzebnaPomoc!
Mam nietypowe pytanie, ale jak się liczy objętość graniastosłupa, to na końcu zawsze jest do sześcianu?
W sensie jak mamy jakiś zadanie np. Prostopadloscian o wymiarach 2cm X 1dm X 5mm (2cm X 10cm X 0,5), to wyjdzie na 10cm, ale do trzeciej. I czy w każdym graniastosłupie wyjdzie do sześcianu na końcu? W każdym tego typu zadaniu? Proszę o pomoc, bo ważne, jak ktoś nie wie, to niech nie pisze, pls
Zgadza się. Objętość jest miarą trójwymiarową, którą się mierzy z m³, dm³, cm³, mm³, itd.
The construction crew for a new house will dig a hole in the shape of a rectangular prism for the house's foundation. the hole will be 48ft long, 39ft wide, and 9ft deep. to haul away all of the dirt from the hole, a dump truck will take trips to a nearby landfill. the crew knows the amount of dirt the truck can hold each trip in cubic yards.
(a) find the volume of dirt that will be hauled away in cubic yards. use the table of conversion facts, as needed.
____yd3???
(b) each trip, the truck can haul away 11yd3 of dirt. to save gas, the crew wants to take as few trips as necessary to haul all of the dirt away. since all of the dirt needs to be hauled away, the crew might have to take a partial load for one trip. how many trips are needed to haul away all of the dirt? count each trip it makes the same, even if the truck isn't full.
_______trips???
c) if it costs $1175 for each trip that the truck makes, how much will it cost to haul away all the dirt?
$____ ???
The first step is to convert feet to yards.
1 feet = 1/3 yards
48 / 3 = 16 yards 39 / 3 = 13 yards 9/3 = 3 yardsVolume of the dirt hauled away = 16 x 13 x 3 = 624 yards³
Number of trips needed to haul away the dirt = 624 / 11 = 56. 7 = 57 trips
Total cost = 57 x 1175 = $66,975
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A line with a slope of -2 passes through the point (3,-1). Which of the following is the equation of the
line?
Answer:
C.) y = -2x + 5
Step-by-step explanation:
The general structure of an equation in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
You were given the value of "m" (-2). You were also given an "x" variable and "y" variable from a point (3,-1). You can plug these variables into the equation and simplify to find "b".
m = -2 x = 3 y = -1
y = mx + b <---- General structure
y = -2x + b <---- Plug -2 in for "m"
-1 = -2(3) + b <---- Plug "x" and "y" values in from point
-1 = -6 + b <---- Multiply -2 and 3
5 = b <---- Add 6 to both sides
Therefore, the equation of the line is:
y = -2x + 5
A survey was conducted by a pet store to find the number of cats and dogs owned by people in a neighborhood block. The results of the survey are represented in this Bar Graph. Which statement describes why the Bar Graph is not properly drawn? A. The vertical scale is too high. B. The vertical scale should not start at zero. C. The bars are not the same width. D. The bars are not the same height.
Answer: C
Step-by-step explanation:
4 < x < 7
Please give me a proper explanation.
An explanation for 4 < x < 7 is that 4 is less than and x is less than 7.
How to explain the information?The mathematical expression that is given is 4 < x < 7. It should be noted that this implies that 4 is less than and x is less than 7.
In this case, the appropriate values that can fit x in this situation will be 5 and 6.
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Please answer asap!!!!!! I Inserted photo. Thankssss
Answer:
2nd option
Step-by-step explanation:
using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
given
6xy³z × 3x²yx²
= 6 × 3 × x × x² × x² × y³ × y × z
= 18 × [tex]x^{(1+2+2)}[/tex] × [tex]y^{(3+1)}[/tex] × z
= 18[tex]x^{5}[/tex][tex]y^{4}[/tex]z
on a piece of paper, graph y=3/4x-3 use the graph to find the x-intercept of the line
The x-intercept of the line is (4, 0)
How to find the x-intercept of a lineThe x-intercept of a line is the point where the line crosses the x-axis. Given the equation below:
y=3/4x-3
The x-intercept occurs at the point where y = 0. Substitute:
0 = 3/4x - 3
3/4x = 3
3x = 12
x = 4
Hence the x-intercept of the line is (4, 0)
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Ari said there are three possible outcomes when you spin this spinner twice: two reds, a yellow and a red, or two yellows.
So, the probability of getting two yellows is 1/3
Do you agree or disagree? Explain your thinking.
Answer:
I disagree.
Step-by-step explanation:
The reasoning may be wrong but I believe it is disagree.
I am going to keep it simple.
On the spinner there are 4 options, 3 for red and 1 for yellow.
Therefore, we have a 1/4 chance to get a yellow once.
If we get a yellow again, it is another. 1/4 chance.
1/4 x 1/4 is 1/16, considerably smaller than 1/3.
Answer:
From inspection of the diagram, we can see that the spinner is divided into 4 equal parts, where 3 parts are red and 1 part is yellow.
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Therefore,
[tex]\implies \textsf{Probability of getting a red} = \sf \dfrac{3}{4}[/tex]
[tex]\implies \textsf{Probability of getting a yellow} = \sf \dfrac{1}{4}[/tex]
Multiplication Rule for Independent Events
For independent events A and B:
[tex]\sf P(A\:and\:B)=P(A) \times P(B)[/tex]Therefore,
[tex]\begin{aligned}\implies \sf P(yellow\:and\:yellow) & = \sf P(yellow) \times P(yellow)\\\\ & = \sf \dfrac{1}{4} \times \dfrac{1}{4}\\\\ & = \sf \dfrac{1}{16}\end{aligned}[/tex]
ConclusionAri is incorrect. The spinner is divided into 4 parts, where only one part is yellow. Therefore, the probability of spinning a yellow is 1/4. As the events are independent, the Multiplication Rule should be used to calculate the probability of spinning 2 yellows. So the probability of spinning 2 yellows is 1/4 x 1/4 = 1/16.
50 PTS PLS HELP I'M BEING TIMED!!!!!!!! MY TEACHER IS CRAZY NO SCAMS
Determine the cost of 2 years at a community college or 4 years at a state college (in your home state or out of state). Explain the cost of your chosen college in 4-6 sentences. Remember, the cost of college includes: Tuition Room and board Books/supplies Gas Spending money
In Colorado, the estimated total in-state college tuition cost for two years is $83,832. It is to be noted that this is inclusive of other factors as shown in the computation below.
What is the calculation for the above figure?
Given the following:
Base Tuition (Note that this increases by 20% every year) = $12, 650
Off campus Room and Board - $11, 440
Housing - $5,976
Meals - $ 6, 450
Living Expenses - 1,670
Books and Supplies - $1200
The summary thus is equal to
Base Tuition = $12, 650 * 2 * 1.2
Off campus Room and Board - $11, 440 * 2
Housing - $5,976 * 2
Meals - $ 6, 450 * 2
Living Expenses - 1,670 *2
Books and Supplies - $1200 *2
This results in:
Base Tuition = $30,360
Off campus Room and Board = $22,880
Housing = $11, 952
Meals = $ 12900
Living Expenses = $ 3,340
Books and Supplies = $2,400
Grand Total = $ 83,832.
Note that the base tuition was estimated to increase at the rate of 20% every year.
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True or False
1. The data given in interval is a grouped data.
2. The specific point where the upper and lower limit meets is the data value.
3. The gap between each data value is called interval.
4. The number of times an observation occurs or appears in a data set is called frequency distribution table.
5. The lowest number in the class interval is the upper limit.
Answer:
true
false
true
false
true
If m∠2 = 137 and m∠P = 22, what is m∠O?
Answer:
The answer is 21
Step-by-step explanation:
This should help you
There is £80 in a pot which is shared out amongst 3 people. Anne gets £20 Mark gets £35 and Ben gets £25. What ratio of the money do all of the people get?
You have been given data about gas prices in 15 states. Comparing the two data sets below, what does the larger mean and median say about gas prices in 2022 compared to gas prices in 2018?
Gas Prices in 2018 Gas Prices in 2022
Max: $2.42
Min: $2.03
Mean: $2.098
Median: $2.06
Mode: $2.04
Variance: 0.0121
Standard Deviation: $0.11
Max: $5.87
Min: $4.48
Mean: $4.83
Median: $4.72
Mode: $4.72
Variance: 0.0142
Standard Deviation: $0.38
Comparing the two data sets shown below
What is standard deviation and variance?Variance is the average squared deviations from the mean, while standard deviation is the square root of this number.
Both the mean and the median can be used to describe where the “center” of a dataset is located.
So, the mean of data in 2022 is more than mean of data in 2018.
It’s best to use the mean when the distribution of the data values is symmetrical and there are no clear outliers.
As the variance of 2022 more than in variance in 2018.
A high variance indicates that the data points are very spread out from the mean, and from one another.
As the standard deviation of 2022 more than in standard deviation in 2018.
The high standard deviation indicates data are more spread out.
The bigger the range, the more spread out the data.
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If f(x) = 2x2 + 3 and g(x)=x2-7, find (f- g)(x).
The difference of the given functions is x^2 + 10
Difference of functionsGiven the following functions
f(x) = 2x^2 + 3 and
g(x)=x^2-7
Take the difference
(f-g)(x) = 2x^2 + 3 - (x^2 - 7)
(f-g)(x) = 2x^2 - x^2 +3 + 7
(f-g)(x) = x^2 + 10
Hence the difference of the given functions is x^2 + 10
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PLEASE HELP ME :)
At a track meet, you time a friend running 100 m in 11.00 seconds. The officials time her as well. You find that you have an error of 3.09%. What are the two possible official times your friend ran the 100 meters?
Answer:
sorry but i need the answer too pls answer the question
How can I solve this math problem.
Answer:4.6
Step-by-step explanation:
Use the pythagorean theorem, then find the square root using your calculator.
Need help! :(((((((((((((((((((((((((
Answer:
[tex] \frac{1}{8} [/tex]
Step-by-step explanation:
it's so simple dude
I need help what's the answer
Answer:
[tex]y = 2x - 5[/tex]
Step-by-step explanation:
slope-intercept form is [tex]y = mx + b[/tex] with [tex]m[/tex] being the slope of the line and [tex]b[/tex] being the y-intercept (where the line touches the y-axis)
First we can find [tex]m[/tex] using the formula for slope, [tex]\frac{rise}{run}[/tex] (or [tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]), which is the change in y over the change in x.
We can use any points on the line, but I am going to use [tex](4, 3)[/tex] and [tex](3, 1)[/tex] for this example. We can now find the slope.
[tex]\frac{3-1}{4-3} = \frac{2}{1}[/tex]
This means your slope is 2, which means [tex]m[/tex] is 2.
Finding the y-intercept is easy. This line crosses the y-axis at -5, and so [tex]b[/tex] is -5.
Now we can plug in the values into our original equation to get the equation of the line.
[tex]y = 2x - 5[/tex]
That is the answer
- Kan Academy Advance
What Is The Formula To Calculate Total Surface Area??
Answer:
you need to calculate the areas for each side of the figure and then add it all up
Step-by-step explanation:
HURRY!!!!
If p -> q is true and q is true, then p is ____ true.
-always
-sometimes
-never
If p is true and q is true, then ~ p -> ~ q is ____ true.
-always
-sometimes
-never
Sometimes. p ⇒ q is true if both p and q are true, or whenever p is false.
Always. ¬ p ⇒ ¬q is true if ¬p and ¬q are both true (which means p and q are both false), or whenever ¬p is false (p is true).
Solve the following quadratic by
completing the square.
y = x² + 4x - 2
X
x = [?] ± √ [ ]
Please help me
Answer:
x = -2+- sqrt(6)
Step-by-step explanation:
Using completing the square, let x^2+4x-2 = 0 and solve the steps to get the answerx^2 + 4x - 2 =0
add 2 to both sides to get x^2 + 4x = 2
then add 4 to both sides to get x^2 + 4x + 4 = 6
Get the left hand side to the square formate: (x+2)^2 = 6
then simplify x+2 = sqrt(6) or x+2 = -sqrt(6)
so x = sqrt(6) - 2 or x = -sqrt(6) -2
i need this done in 20 min please help asap
Answer:
the second one
Step-by-step explanation:
just looking at the y values you get
-24y + 32y so that will give u +8y , there is only one answer with that
Part D
What is the difference of the earnings of movies C and D for that week?
The difference of the earnings of movies C and D for that week is $10,652,270.46 .
What is the difference in earnings?Subtraction is used to determine the difference between two or more numbers.
The difference = earnings of movie D - earnings of movie C
$34.311,887.98 - 23,659,617.52 = $10,652,270.46
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What is the value of 6 in 640.31?
Answer:
hundred
Step-by-step explanation:
Answer:
600
Step-by-step explanation:
Find the value of x.
Answer:
Step-by-step explanation:
Remark
What you don't know and what makes the problem confusing, is that where to the given arcs start and end. So I am going to say that both arcs start from E and 119 ends at D, and 174 ends at F which means that the arc FD is not known, but it is not hard to find.
The total number of degrees from beginning to end is 360 degrees. The formula for finding FD is
Formula
FD = 360 - (174 - 119)
The formula for x is (ED - FD)/2
Solution
Arc FD = 360 - (174 - 119)
Arc FD = 67
So x = (119 - 67) / 2
x = 52 /2
x = 26
Susan collects softball cards in her collection she had 128 she decides to gives 3 eights
Answer:
need more information to answer for you.
Step-by-step explanation:
For positive acute angles A and B, it is known that sin A = 24/25 and cos B = 11/61
Find the value of cos(A + B) in simplest form
Answer:
Rounded to 0.42. Not rounded: 0.41729656785
Step-by-step explanation:
24/25 = 0.96
11/61 = 0.180327869
Add those together.
Answer for that: 1.14032787
Find the cos for the answer.
Which is 0.41729656785 to 0.42
As an estimation we are told £3 is €4.
Convert £10.50 to euros.
Help! I need to finish but I'm stuck! Will give brainliest!
The shaded figure below is composed of a trapezoid and a semicircle on a coordinate plane.
Which of the following expressions represents the area of the shaded figure?
2(18 + π)
2(12 + π)
4(9 + 2 π)
8(3 + π)
Answer:
2(12 + π)
Step-by-step explanation:
This will get you about 30and even by just counting squares you will get the closest to this answer.