Answer:
10 m
Step-by-step explanation:
To get to the warehouse from the showroom, you could travel 8 metres to the right, and 6 metres up
But to find the shortest distance, find the hypotenuse
a² + b² = c² (To find the hypotenuse, the slanted side)
c stands for the shortest distance
a = 6 b = 8
6² + 8² = 36 + 64 = 100
Square root the 100 to get 10, an that is your length
Look at the figure shown below:
P
25
S
12
Patricia is writing statements as shown below to prove that if segment ST is parallel to segment RQ, then x = 35:
Statement
Reason
1. Segment ST is parallel to segment QR. Given
2. Angle QRT is congruent to angle STP. Corresponding angles formed by parallel lines and their transversal are congruent.
3. Angle SPT is congruent to angle QPR. Reflexive property of angles
4. Triangle SPT is similar to triangle QPR. Angle-Angle Similarity Postulate
5.
Corresponding sides of similar triangles are in proportion
Answer:
Option D
Step-by-step explanation:
The equation that can be used as statement 5 to prove that if segment ST is parallel to segment RQ, is:
"28:40 = x:(x+15) that is (Option D)
A mathematical statement is a sentence that is either true or false but is depicted in a mathematical format using mathematical operators.
Note that although mathematical statements are either true or false, they cannot be both.
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A bag contains 28 marbles. The theoretical probability of randomly drawing a
blue marble is 3/7. Find the number of blue marbles in the bag.
Answer:
12
Step-by-step explanation:
Probability = Expected outcome/Total outcome
GIven
Total outcome = 28marbles
probability of randomly drawing a blue marble = 3/7
Substitute
3/7 = number of blue marbles/28
Cross multiply
7N = 3* 28
N = 3*4
N= 12
Hence there 12 blue marbles in the bag
Which pair of angles are the alternate exterior angles?
Veronica has to multiply 398 x 18. She says she can multiply 400 X 18 and then take
away one group of 18.
Write an expression that shows Veronica's thinking
Answer:
See below. Veronica's thinking is incorrect. I've included what she is thinking, but the correct thinking is more useful, as noted below.
Step-by-step explanation:
398 is 2 less than 400. Veronica needs to remove two groups of 18.I don't know what Veronica is thinking, other than:
(398 x 18) = (400*18 - 18)
She should be thinking:
(398 x 18) = (400 x 18) - (2*18). The "2" is for the two extra groups of 18 that she will have when multiplying 400 x 18, instead of 398 x 18.
help me please, its mathwatch
Answer:
60 cm^2Solution,
Let ,
a = 13
b = 13
c= 10
then,
s = a + b + c /2
= 13 + 13 + 10 / 2
= 36/2
= 18
Now,
Area of triangle:
\( \sqrt{s(s - a)(s - b)(s - c)} \)
\( \sqrt{18(18 - 13)(18 - 13)(18 - 10)} \)
\( \sqrt{18 \times 5 \times 5 \times 8} \)
\( \sqrt{3600} \)
\(60 \: {cm}^{2} \)
Hope this helps ....
Good luck on your assignment...
What is the connection string for SQL Server using Windows Authentication?
The connection string for SQL Server using Windows Authentication is as follows:
Server=myServerAddress;Database=myDataBase;Trusted_Connection=True;
Specify the server address in the format "Server=myServerAddress". Replace "myServerAddress" with the name or IP address of the SQL Server instance you want to connect to.
Specify the name of the database you want to connect to in the format "Database=myDataBase". Replace "myDataBase" with the name of the database.
Use Windows Authentication by setting "Trusted_Connection=True". This means that the user running the application is authenticated using their Windows credentials, rather than a SQL Server login.
Use semicolons (;) to separate the different parts of the connection string.
Using Windows Authentication is a more secure and convenient way to connect to a SQL Server database, as it eliminates the need to store and manage login credentials in the application.
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Consider the following Point (-2.2,-1.2) Line 12x + 6y = 41 (a) Write the slope-intercept form of the equation of the line through the given point and parallel to the given line. y= ____ (b) Write the slope-intercept form of the equation of the line through the given point and perpendicular to the given line, y =
the equation of the line passing through the point (-2.2,-1.2) and perpendicular to the given line isy - (-1.2) = 1/2(x - (-2.2))=> y + 1.2 = 1/2(x + 2.2)=> y + 1.2 = 1/2x + 1.1=> y = 1/2x - 0.1The required equations of the line are y = -2x - 5.6 and y = 1/2x - 0.1.
Given point (-2.2, -1.2) and line 12x + 6y = 41
(a) We have to write the slope-intercept form of the equation of the line through the given point and parallel to the given line.To write slope intercept form of the equation, we need to solve the given line for y.12x + 6y = 41
=> 6y = -12x + 41
=> y = (-12/6)x + (41/6)
=> y = -2x + 41/6
Slope of the line = -2Now, the given line and parallel line have the same slope. Using point-slope form, the equation of the line passing through the point (-2.2,-1.2) and parallel to the given line isy - (-1.2) = -2(x - (-2.2))
=> y + 1.2 = -2(x + 2.2)
=> y + 1.2 = -2x - 4.4
=> y = -2x - 5.6
(b) We have to write the slope-intercept form of the equation of the line through the given point and perpendicular to the given line.
To write slope intercept form of the equation, we need to solve the given line for y.12x + 6y = 41
=> 6y = -12x + 41
=> y = (-12/6)x + (41/6)
=> y = -2x + 41/6
Slope of the line = -2Slope of the line perpendicular to this line = (-1/(-2)) = 1/2Now,
using point-slope form, the equation of the line passing through the point (-2.2,-1.2) and perpendicular to the given line isy - (-1.2) = 1/2(x - (-2.2))
=> y + 1.2 = 1/2(x + 2.2)
=> y + 1.2 = 1/2x + 1.1
=> y = 1/2x - 0.1
The required equations of the line are y = -2x - 5.6 and y = 1/2x - 0.1.
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Please please help me before it's to late
Answer:
it is the 3rd one to the bottem
o.7 - 0.31 = 0.39
Step-by-step explanation:
What are the x and y -intercepts for the equation 5x - 4y = 10
Answer:
x=2
y= -2.5
Step-by-step explanation:
x int
1.) set y to 0 (5x -4(0)=10
solve for 5x=10
y int
1.) set x to 0
solve for -4y=10
Answer:
x=2, y=-5/2
Step-by-step explanation:
to find the 'x' intercept, set the 'y' value to zero and solve:
5x - 4(0) = 10
5x = 10
x = 2
to find the 'y' intercept, set the 'x' value to zero and solve:
x(0) - 4y = 10
-4y = 10
y = -10/4 or -5/2
Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x overbarequals103.26, y overbarequals102.05, requals0.897, P-valueequals0.000, and ModifyingAbove y with caret equals negative 13.47 plus 1.12 x, where x represents the IQ score of the twin born first. Find the best predicted value of ModifyingAbove y with caret given that the twin born first has an IQ of 105? Use a significance level of 0.05.
Answer
The value is \(P = 131.07\)
Step -by -step -explanation :
From the question we are old that
The sample size is n = 20
The sample mean for the first person of each twin is \(\= x = 100.45\)
The sample mean for the second person of each twin is \(\= y = 103\)
The correlation between both data is r = 0.908
The p-value is p-value = 0.000
The equation \(\^ y = 13.47 + 1.12 x\)
Here we are told that x represents the first person to be given birth to among each twin
The value of x considered is x = 105
Generally given that p-value = 0.000
Then the Predicted value of \(\^ y\) is mathematically represented as
\(P = 13.47 + 1.12 (105)\)
=> \(P = 131.07\)
The area of a square famly room is 100 square meters.how long is each side?
Answer:
twenty five square meters
Step-by-step explanation:
100 divided by four
What's the value of the 7 in the number 53.75 give the answer as a fraction
Answer:
The value of 7 in the number 53.75 is 7/10 and this can be determined by using the arithmetic operations.
Step-by-step explanation:
Given :
Number -- 53.75
The following steps can be used in order to determine the value of 7 in the number 53.75:
Step 1 - Write the given number.
= 53.75
Step 2 - Determine the value of 7 in the above number that is:
= 0.7
Step 3 - Rewrite the value obtained above in the fraction formate.
= 7/10
So, the value of 7 in the number 53.75 is 7/10.
Complete the function for this graph.
Answer:
\(y=|x-(-2)|+2\)
Step-by-step explanation:
Hope this is helpful.
The required absolute function is given as y = |x - 2| + 2.
Given that,
From the graph, y = |x - h| + k, values of h and k is to be determined,
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
In the graph and function, h represents the shift on the x-axis, which 2 units left so the value of h is 2, while k is given the shift of the function over the y-axis which 2 units up means that k = 2
Thus, The required absolute function is given as y = |x - 2| + 2.
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find the measure of the angle indicated
Answer:
130
Step-by-step explanation:
x + 95 + 35 = 180
x + 130 = 180
x = 50
x + y = 180
50 + y = 180
y = 130
Answer:
130°
Step-by-step explanation:
the sum of the angles in a triangle are 180°
we need to subtract the sum of the other two angles in order to find angle ∠QPG
180-(35+95)=180-130=50°
the question is asking for the external angle of angle ∠QPG (the value that we find when we subtract the angle from 180°)
so we are going to subtract 50 from 180
180-50=130°
2nd way:
the sum of the two inner angles are equal to the external angle of the third angle:
35+95=130°--> ∠QPG
An entrance ticket to a museum is $13.00 per person. If $364.00 is spent in entrance fees, then how many tickets were purchased? Write an equation. What is the constant of proportionality?
Answer:
28 tickets were purchased
Step-by-step explanation:
What is the solution for x in the equation?
12-
1x + ² = x - 4
OA. = 3
x
OB. = -3
x
O C.
= //
OD. x = -
Suppose we have to solve this equation ,
3x - 4 = 7x + 8
would be to first subtract 3x from both sides obtaining
-4 = 4x + 8,
then subtract 8 from both sides and get
-12 = 4x.
Now divide both sides by 4 obtaining
- 3 = x or x = - 3.
If we have to find the area of trapezoid,
A trapezoid has two parallel sides and two nonparallel sides. The parallel sides are called bases.Removing parentheses does not mean to merely erase them. We must multiply each term inside the parentheses by the factor preceding the parentheses.Changing the form of an answer is not necessary, but you should be able to recognize when you have a correct answer even though the form is not the same.An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.
There are three major forms of linear equations:
point-slope form, standard form, and slope-intercept form.
There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other.
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please help me I don´t get it?
Answer:
∠1 = 137
∠2 = 43
∠3 = 137
Step-by-step explanation:
∠2 and 43 are alternate interior angles.
Alternate interior angles are equal.
So,
∠2 = 43.
∠1 and ∠3 are also alternate interior angles,
So,
∠1 = ∠3
∠1 and 42 are linear pair angles.
Sum of linear pair angles is 180,
∠1 + 42 = 180
∠1 = 180 - 43
∠1 = 137
Since,
∠1 = ∠3
So,
∠3 = 137
Hence,
∠1 = 137
∠2 = 43
∠3 = 137
Note : -
Alternate interior angles and linear pair angles are properties of angles.
And are applicable when two lines intersect or more than two lines interest.
You cut a sheet of paper along its diagonal, as shown. What is the length of the diagonal? Round your answer to the nearest tenth. PLS HELP VERY URGENT
Answer: 14.9
Step-by-step explanation:
The Pythagorean Theorem formula is \(a^2+b^2=c^2\). a and b are the legs, and c Is the hypotenuse. Looking at the figure, we are only given the legs, and asked to find the hypotenuse. All we have to do is to substitute and solve.
\(10^2+11^2=c^2\) [exponent]
\(100+121=c^2\) [add]
\(221=c^2\) [square root both sides]
After plugging this into the calculator, we get 14.9, rounded.
Ok this is the last one please help
Answer:
s<12
Step-by-step explanation:
It didn't say there are "at most", it said there are fewer, so 12 is not included.
As a general rule in computing the standard error of the sample mean, the finite population correction factor is used only if the:
Group of answer choices
1. sample size is more than half of the population size.
2. sample size is smaller than 5% of the population size.
3. sample size is greater than 5% of the sample size.
4. None of these choices.
The finite population correction factor is used in computing the standard error of the sample mean when the sample size is smaller than 5% of the population size.
The finite population correction factor is a adjustment made to the standard error of the sample mean when the sample is taken from a finite population, rather than an infinite population.
It accounts for the fact that sampling without replacement affects the variability of the sample mean.
When the sample size is relatively large compared to the population size (more than half), the effect of sampling without replacement becomes negligible, and the finite population correction factor is not necessary.
In this case, the standard error of the sample mean can be estimated using the formula for sampling with replacement.
On the other hand, when the sample size is small relative to the population size (less than 5%), the effect of sampling without replacement becomes more pronounced, and the finite population correction factor should be applied.
This correction adjusts the standard error to account for the finite population size and provides a more accurate estimate of the variability of the sample mean.
Therefore, the correct answer is option 2: the finite population correction factor is used when the sample size is smaller than 5% of the population size.
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Example: Soccer Game
You are off to soccer, and love being the Goalkeeper, but that depends
who is the Coach today:
with Coach Sam the probability of being Goalkeeper is 0.5
with Coach Alex the probability of being Goalkeeper is 0.3
Sam is Coach more often ... about 6 out of every 10 games (a probability of 0.6).
So, what is the probability you will be a Goalkeeper today?
The probability of being a goalkeeper today is 0.42, or 42%.
How to find the probability you will be a Goalkeeper todayTo determine the probability of being a goalkeeper today, we need to consider the probabilities associated with each coach and their likelihood of coaching.
Given:
- Probability of being goalkeeper with Coach Sam: 0.5
- Probability of being goalkeeper with Coach Alex: 0.3
- Probability of Coach Sam being the coach today: 0.6
To calculate the probability, we can use the concept of conditional probability.
Probability of being a goalkeeper today = (Probability of Coach Sam being the coach today) * (Probability of being a goalkeeper with Coach Sam) + (Probability of Coach Alex being the coach today) * (Probability of being a goalkeeper with Coach Alex)
Substituting the given values:
Probability of being a goalkeeper today = (0.6 * 0.5) + (0.4 * 0.3)
Probability of being a goalkeeper today = 0.3 + 0.12
Probability of being a goalkeeper today = 0.42
Therefore, the probability of being a goalkeeper today is 0.42, or 42%.
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-10x + 3y = -30
-8x + 9y = -24
HELP PLEASE!! I don't get it!!!!!!
Answer:
294.5 m²
Step-by-step explanation:
portion of circle is 360 - 130 = 230
πr²*x/360 = π(11.1)²*230/360 = 247.3
then add the non-right triangle area, 1/2ab sinC
1/2(11.1)(11.1) sin 130 = 47.2
247.3 + 47.2 = 294.5 m²
Which window with the following dimensions is too small to allow a 48-inch piece of glass to fit through it?
28 x 45 inches
36 x 27 inches
40 x 40 inches
40 × 42 inches
The dimensions 36 x 27 inches are too small to allow a 48-inch piece of glass to fit through it.
What is meant by dimensions?An object's dimension is a topological measure of the size of its covering properties. It is the number of coordinates required to specify a point on the object.A dimension is a measurement that includes things like length, width, and height. When you talk about an object's or place's dimensions, you're referring to its size and proportions. Dimensions are the powers to which basic units or quantities are raised in order to represent a specific physical quantity. <br> e.g., : In the gravitational constant formula, the length, mass, and time dimensions are 3, -1, and -2, respectively. The dimensional formula is defined as the physical quantity expressed in terms of its basic unit with proper dimensions. Dimensional force, for example. F = [M L T-2] It's because the Force unit is Newton, or kg*m/s2.To learn more about dimensions, refer to:
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the charts most frequently considered for depicting quantitative data are bar charts, pie charts and stacked bar charts.
Bar charts, pie charts, and stacked bar charts are commonly used for representing quantitative data.
When it comes to visually representing quantitative data, several types of charts are commonly used. One such chart is the bar chart, which uses rectangular bars of varying lengths to depict numerical values. Bar charts are effective in comparing different categories or groups and showcasing trends over time. Another popular chart is the pie chart, which divides a circle into slices to represent different proportions or percentages of a whole. Pie charts are useful for illustrating the composition or distribution of a data set. Additionally, stacked bar charts are frequently employed to display multiple variables or categories within a single bar, where each segment represents a different subset. This type of chart allows for easy comparison of subcategories while maintaining an overall total. These three chart types - bar charts, pie charts, and stacked bar charts - offer versatile options for visualizing quantitative data, enabling effective communication and analysis.
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The complete question is
which are the different types of chart that are most frequently considered for depicting quantitative data ?
Which value(s) is a solution for the inequality f < 4? Choose all that apply.
f = -4
f = 3
f = -2
Explanations:f < 4 means that f consists of all the values that are less than 4.
From the options:
Numbers that are less than 4 are -4, 3 and -2.
7 is greater than 4, therefore, f = 7 is an incorrect choice
In the world of right triangles why does a (squared) + b(squared) = c(squared)? thanks konrad streuli
Answer:
Pythagoras Theorem
Step-by-step explanation:
Like you rightly stated, in a right angled triangle. The phenomenon you mentioned is what us called Pythagoras theorem which proved to us that the square of the length of the hypotenuse of a right angled triangle, is equal to the square of the length of the opposite side to the angle in question, and also to the square of the length of the side adjacent to the same angle in question.
Essentially,
a² + b² = c², where c is the hypotenuse and a & b is the length of the two other sides
DRIVE Rupert drove home at an average rate of 58 miles per hour. Find his rate in feet per second. Round to the nearest tenth.
Answer: 85.06 feet/second
Step-by-step explanation: 58
×
5280
=
306240
(1 mile =5280 feet.)
1 hour= 60 x 60 seconds = 3600 seconds.
Explanation:
To make it feet per second divide:
306240/3600
85.06
feet/second
Write the equations of the lines below.
Answer:
The equation of the line is \(y = - \frac{1}{2} x + 1\)
Step-by-step explanation:
☆Remember: \(slope = \frac{rise}{run} \)
▪Happy To Help <3
Express as single logarithm.
1/2 log (x) - 2 log (2y) + 3 log (z)
Answer:
\(\log\left(\dfrac{\sqrt{x}\:z^2}{4y^2}\right)\)
Step-by-step explanation:
\(\dfrac12\log(x)-2\log(2y)+2\log(z)\)
\(\textsf{Apply log power rule}: \quad n \log(x)=log(x)^n\)
\(\implies \log(x)^{\frac12}-\log(2y)^2+\log(z)^2\)
\(\textsf{Apply exponent rule}: \quad(ab)^c=a^cb^c\)
\(\implies \log(\sqrt{x})-\log(4y^2)+\log(z^2)\)
\(\textsf{Apply log quotient rule}: \quad \log(x)-\log(y)=log(\frac{x}{y})\)
\(\implies \log\left(\dfrac{\sqrt{x}}{4y^2}\right)+\log(z^2)\)
\(\textsf{Apply log product rule}: \quad \log(x)+\log(y)=log(xy)\)
\(\implies \log\left(\dfrac{\sqrt{x}\:z^2}{4y^2}\right)\)