Step-by-step explanation:
\(x ^{1} = - 5 \\ y ^{1} = - 2 \\ x {}^{2} = - 2 \\ y {}^{2} = 1 \\ then \: you \: solve \: with \: that \: formula \: you \: know\)
HELPPP ASPA 60 POINT!!!!!Show to draw a line segment that measures 92 millimeters. i need it to be in words not a photo please
A line segment that measures 92 millimeters in length can be drawn using scale.
Given that,
A line segment has to be drawn which has a measure of length 92 millimeters.
We know that,
10 millimeters = 1 centimeter
1 millimeter = 1/10 centimeters
92 millimeters = 92/10 = 9.2 centimeters
So it is enough to draw a line segment of length 9.2 centimeters.
In the scale, between a centimeter, there are 9 small lines which indicates the millimeters.
In between 9 and 10, there are 9 lines which indicates, 9.1, 9.2, 9.3, ....., 9.9 and after that is 10 cm.
So draw a line segment starting from 0 to 9.2.
Hence the line segment is drawn with scale.
Learn more about Line Segments here :
https://brainly.com/question/9477630
#SPJ1
please help.
definitions: 1. definition of right triangle
2. definition of isosceles TrianglesReflexive
3. HL
4. definition of perpendicular
5. CPCTC
6. reflexive
From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC
How to solve two column proof problems?The two column proof to show that ∠BAC ≅ ∠DAC is as follows:
Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD
Reason 1: Given
Statement 2: AB ≅ AD
Reason 2: Definition of isosceles Triangles
Statement 3: ∠1 and ∠2 are right angles
Reason 3: Definition of perpendicular
Statement 4: AC ≅ AC
Reason 4: Reflexive Property
Statement 5: ΔABC and ΔADC are right triangles
Reason 5: Definition of right triangle
Statement 6: ΔABC ≅ ΔADC
Reason 6: HL Congruency
Statement 7: ∠BAC ≅ ∠DAC
Reason 7: CPCTC
Read more about two column proof at; brainly.com/question/1788884
#SPJ1
Help me pleasee! I dont understand this!
Find the length of the arc shown in red. Leave your answer in terms of \(\pi\)
The length of the arc (s), the central angle θ, and the radius (r) are related as follows:
\(s=r\cdot\theta\)where θ must be in radians
The central angle related to arc length in red is 360°- 144° = 216°
360° are equivalent to 2π radians, then
\(\theta=216\text{ \degree}\cdot\frac{2\pi\text{ radians}}{360\text{ \degree}}=\frac{6}{5}\pi\text{ radians}\)Substituting this value of θ and r = 4 ft, the arc length is:
\(\begin{gathered} s=4\cdot\frac{6}{5}\pi \\ s=\frac{24}{5}\pi\text{ ft} \end{gathered}\)A 39 -ft ladder leans against a building so that the angle between the ground and the ladder is 85∘
How high does the ladder reach the building? __________ ft
The height of the building is 38.85 ft.
Given;
length of the ladder, x = 39 ft
the angle between the ground and the ladder, θ = 85°
let the height of the building be h.
Construct this triangle, the ladder forms the hypotenuse side of the right angle triangle, the height of the triangle is the opposite side of the triangle while the base of the triangle is the adjacent side of the triangle.
Apply the following trig ratio to determine the height of the triangle;
sin(θ) = opposite/hypotenuse
sin(85°) = h/39
h = 39sin(85°)
h = 38.85 ft
Therefore, the height of the building is 38.85 ft (approx.).
To learn more about ladder questions :
https://brainly.com/question/19054211
https://brainly.com/question/18884979
Which point is located at (-1, 3)?
A
B
C
D
a. When the relationship for a regression is positive, an X score above the mean will correspond to a Y score (above/below) the mean.b. When the relationship for a regression is negative, an X score above the mean will correspond to a Y score (above/below) the mean.
(a) For positive Linear Regression , Y score will be above mean .
(b) For negative Linear Regression , Y score will be below the mean .
What is Linear Regression ?
The term Linear regression analysis is used to predict the value of one variable based on the value of another variable.
Part(a)
when the relationship of regression between two variables is positive then if one variable increase the other variable also increases ,
So , if the the x score is above the mean then the Y score will be also above the mean .
Part(b)
when the relationship of regression between two variables is negative then if one variable increase the other variable decreases ,
So , if the the x score is above the mean then the Y score will be below the mean .
Therefore , (a) Y score will be above the mean .
(b) the Y score will be below the mean .
Learn more about Linear Regression here
https://brainly.com/question/15682110
#SPJ4
I have the question shown in the screenshot
The width and height of the rectangle inscribed in the right triangle have a measure of 3.529 units.
How to find the dimensions of the rectangle of maximum area by optimization
In this problem we must use critical values and algebraic methods to determine to determine the dimensions of the rectangle such that the area is a maximum. The equation of the quadrilateral is formed by definition of the area of a rectangle:
A = w · h (1)
Where:
w - Width of the rectangle.h - Height of the rectangle.And the area of the entire triangle is:
0.5 · (5) · (12) = w · h + 0.5 · w · (12 - h) + 0.5 · (5 - w) · h
30 = w · h + 6 · w - 0.5 · w · h + 2.5 · h - 0.5 · w · h
30 = 6 · w + 2.5 · h
2.5 · h = 30 - 6 · w
h = 12 - 2.4 · w (2)
The quadrilateral of maximum area is always a square, then we must solve for w = h:
w = 12 - 2.4 · w
3.4 · w = 12
w = 3.529
Then, the width and height of the rectangle inscribed in the right triangle have a measure of 3.529 units.
To learn more on optimizations: https://brainly.com/question/15319802
#SPJ1
It is now ten to one. What time will it be in 11 hours and 51 minutes?
12.41
Step-by-step explanation:
12:50 is present time
12:50 + 12 hours = 12:50
12:50 - 9 minutes = 12:41.
How many gallons of a 50% antifreeze solution must be mixed with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze?
Answer: 180 gallons needed
Step-by-step explanation:
Zykeith,
Assume x gallons of 50% antifreeze is needed
Final mixture is x + 60 gallons
Amount of antifreeze in mixture is 0.4*(x+60)
Amount of antifreeze added is .5x + .1*60 = .5x + 6
so .5x + 6 = .4(x + 60)
.5x -.4x = 24 -6
.1x = 18
x = 180
Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:
\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)
Simplifying the equation:
\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)
\(\qquad\quad\implies 0.1x = 21\)
\(\qquad\qquad\implies \bold{x = 210}\)
\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.
\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)
a class rolled a number cube 100 times. the results of the experiment are shown. acording to the data
The Probability of rolling a 4's is 1/5
What is Probability?
The likelihood of an event happening is determined by probability. Probability is a unit of measurement for the likelihood of an event. It is the proportion between the number of positive outcomes and all possible outcomes. Consider this: Getting the numbers 3 and 5 while rolling the dice, as well as getting both an even and an odd number.
solution:
Probability of rolling of 4
P = Number of times rolled / Number of total times rolled
P = 20 /100
P = 1 / 5
Therefore the Probability of rolling a 4's is 1/5.
To learn more about Probability from the given link
https://brainly.com/question/13604758
#SPJ4
A one-factor ANOVA is used to evaluate the mean differences among four treatment conditions with a sample of n = 12 participants in each group. For this study, what is dfwithin treatments?
In this case, with four treatment groups and n = 12 participants in each group, dfwithin treatments would be equal to 3, because there are 4 - 1 = 3 treatment groups.
In a one-factor ANOVA, dfwithin treatments refers to the degrees of freedom within the treatment groups, which is a measure of the amount of variability that is present within each group.
The degrees of freedom within the treatment groups is used to calculate the mean square within treatments (MSwithin), which is a measure of the variability within each group. MSwithin is calculated by dividing the sum of the squared differences between each participant's score and the group mean by dfwithin. This value is then used to determine the statistical significance of the treatment effects, by comparing it to the mean square between treatments (MSbetween), which is a measure of the variability between the treatment groups.
In a one-factor ANOVA, the total degrees of freedom is equal to the number of participants in all of the groups combined (4 groups * 12 participants per group = 48) minus the number of groups (48 - 4 = 44). The degrees of freedom between treatments is equal to the number of groups minus 1 (4 - 1 = 3), and the degrees of freedom within treatments is equal to the total degrees of freedom minus the degrees of freedom between treatments (44 - 3 = 41).
Learn more about One-factor ANOVA here:
https://brainly.com/question/23638404
#SPJ4
Find a fraction that, when multiplied by 1/3, is less than 2/7. Justify your answer.
Step-by-step explanation:
\(x < \frac{6}{7} \)
All the fractions which less than (6/7) will be true
The steps of the solution in the above photo
I hope that is useful for you :)
Answer:
1/2 times 1/3
Step-by-step explanation:
Multiply them and you get 1/6 which is less than 2/7.
A=bh A=63 b=9 what’s h
A scientist studied the migration patterns of two types of sharks.The tiger shark traveled 2,240 miles in 28 days. The great white shark traveled 2,368 miles in 32 days. If that tiger shark had traveled at the same rate for 32 days, how many more miles would they have traveled than the great white shark?
60 points for the first person who answers
The half-life of a radioactive kind of iodine is 21 hours. How much will be left after 42 hours,if you start with 19,296 grams of it?In grams
The half-life of a radioactive material is the time that it takes to reduce to half
In this case, the half-life is 21 hs, and since 42hs is twice the half-life, the material will reduce to half after 21 hours and then to half again.
one half of one half is:
\(\frac{1}{2}\cdot\frac{1}{2}=\frac{1}{4}\)Then we multiply by the initial amount:
\(19,296\cdot\frac{1}{4}=4824gr\)The amount left after 42 hours is 4824 grams.
Which values of a b and c correctly represent the answer in simplest form 3 1/4 divided by 2 3/8 equals a b/c. ( PLEASE HURYYYYY)
Answer:
Step-by-step explanation:
1. Put the words into math
3 3 1/4 divided by 2 3/8 equals a b/c.= 3 1/4/2 3/8
3 1/4/2 3/8=
1 7/19
2. Answer: 1 7/19
Fred brought a shirt and a wallet for a total of 34.26 before tax. The price of the wallet was $15 less than the price of the shirt. What was the price of the shirt?
Answer:
The price of the shirt is $24.63.
Step-by-step explanation:
Let's assume the price of the shirt is x. Then the price of the wallet will be x - 15. We know that the total cost before tax is 34.26, so we can set up the equation:
x + (x - 15) = 34.26
Simplifying, we get:
2x - 15 = 34.26
Adding 15 on both sides:
2x = 49.26
Dividing by 2:
x = 24.63
Therefore, the price of the shirt is $24.63.
which expression is equivalent to (-4^-5)^0?
a) 1
b) (-4)^5
c) 1/(-4)^5
d)1^5/-4
Answer:
The answer would be one
Determine all minors and cofactors of the matrix A given below (5)
2 −1 1 3
0 1 1 3
2 1 1 0
2 0 −1 −2
It is impossible to solve this mixture problem: How many gallons of a 10% solution would need to be
added to a 20% solution to obtain a 30% solution.
True or False?
Answer:
false
Step-by-step explanation:
How many gallons of a 10% solution. Would need to be added to a 20% solution to obtain 50 gallons of a 30% solution?
2.How many gallons of milk containing 4% fat is mixed with milk containg 1% fat to obtain a 15 gallon mixture containing 2% fat?
For an experiment, Kelly poured equal amounts of distilled water into each of 30 beakers. She used a total of 4.2 liters of distilled water. How many liters did she pour into each beaker?
The required amount of water in each beaker would be 0.14 liters.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Kelly poured equal amounts of distilled water into each of the 30 beakers. She used a total of 4.2 liters of distilled water.
Amount of liters she put in a beaker,
= 4.2 / 30
= 0 .14 liters per beaker
Thus, the required amount of water in each beaker would be 0.14 liters.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ1
figure below represents a floor covered with white tiles and gray tiles. KEY = 1 square unit
According to the information, we can infer that the correct expression is (10 * 7) + (2 * 7) (option D).
How to find the correct expression?To find the correct expression we must look at the graph and interpret the information it has. In this case, some tiles are white and others are gray, so they would represent different elements. In this case, the white area is 10 * 7 tiles, so this would be the first part of the expression.
On the other hand, the second part of the expression would be 7 * 2, which represents the length, length and width of the gray area. According to the above, the correct expression would be (10 * 7) + (2 * 7), the first part in parentheses represents the white area and the second part in parentheses represents the gray area.
Learn more about tiles in: https://brainly.com/question/18257982
#SPJ1
A square has the following vertices. Find the area of the square.
(−7, −5), (−4, −2), (−4, −8), (−1, −5)
6√ square units
18√ square units
6 square units
18 square units
Answer:
18 square units
Step-by-step explanation:
A square has the following vertices
(−7, −5), (−4, −2), (−4, −8), (−1, −5)
To determine if the are we look for the length of just one of it's sides, because it's a square,all of it's side are equal.
And the are is determined by squaring one of it's sides.
An attachment of the figure is given below to help us know the vertices to use to determine the length.
Length= √ ((-4-(-7))²+(-2-(-5))²)
Length= √((3)²+(3)²)
Length= √(9+9)
Length= √18
So area is the square of the length
Area= (√18)²
Area= 18 square unit
Answer:
D
Step-by-step explanation:
The ratio of the interior angles of a triangle is 2 : 3 : 4. What are the angle measures? Write the angle measures from least to greatest.
9514 1404 393
Answer:
40°, 60°, 80°
Step-by-step explanation:
The total of ratio units is 2+3+4 = 9.
The total of angles in a triangle is 180°, so each ratio unit stands for 180°/9 = 20°.
The angle measures are ...
20° × 2 = 40°
20° × 3 = 60°
20° × 4 = 80°
What two numbers multiply to -35 and add to get -18
he two numbers that multiply to -35 and add to get -18 are -5 and 3.
To see why, you can use the factoring method. First, find two numbers that multiply to give you -35. The factors of -35 are -1, 1, -5, and 5. So, the two numbers that multiply to -35 are either -5 and 7 or 5 and -7.
Next, find which pair of numbers adds up to -18. It's clear that 5 and -7 add up to -2, so they don't work. However, if we choose -5 and 3, we get:
-5 + 3 = -2
So, -5 and 3 are the two numbers that multiply to -35 and add to -18.
-4x-y=24
Complete the missing value in the solution to the equation.
Answer: x is -6
Step-by-step explanation:
9 1/3 minus 3 1/4 as a mixed number
Answer: i got 6 83/1000
Step-by-step explanation:
A researcher wishes to estimate the proportion of X-ray machines that malfunction. A random sample of 250 machines is taken, and 67 of the machines in the sample malfunction. Based upon this, compute a 90% confidence interval for the proportion of all X-ray machines that malfunction. Then find the lower limit and upper limit of the 90 % confidence interval.
The confidence interval's upper and lower limits, respectively, are \(0.330\) and \(0.206\).
In arithmetic, how do you determine the lower limit?Similar to the upper limit, the lower threshold is indeed the smallest value in the class interval. To get the real lower limit, take the smallest number and either deduct 0.5 from it if it's a whole number or 0.05 from it if it's a decimal.
What are the mathematical upper and lower limits?The highest and smallest values which a number may have prior to being rounded are known as upper and lower limits. These are also known as accuracy limitations.
\(CI = p +- z\sqrt{(p(1-p)/n)}\)
where
\(p =\) sample proportion \(= 67/250 = 0.268\)
\(z = z-\)score for a \(90\)% confidence level \(= 1.645\) (from standard normal distribution table or calculator)
\(n =\) sample size \(= 250\)
Substituting these values, we get:
\(CI = 0.268 +- 1.645\sqrt{(0.268(1-0.268)} /250)\)
\(= 0.268 +- 0.062\)
Therefore, the \(90\)% confidence interval for the proportion of all X-ray machines that malfunction is \((0.206, 0.330)\).
The lower limit of the confidence interval is \(0.206\), and the upper limit is \(0.330\).
To know more about lower limit visit:
https://brainly.com/question/24121423
#SPJ1
Find the lengths of each triangle…
2x ft
6x ft
200ft
Answer:
\(2x=20\sqrt{10}\; \textsf{ft} \approx 63.25\; \sf ft\)
\(6x=60\sqrt{10}\; \textsf{ft} \approx 189.74\; \sf ft\)
Step-by-step explanation:
Assuming the given triangle is a right triangle, we can use Pythagoras Theorem to calculate the value of x and then find the measurers of the side lengths.
Pythagoras Theorem\(\large{\boxed{a^2+b^2=c^2}\)
where:
a and b are the legs of the right triangle.c is the hypotenuse (longest side) of the right triangle.From inspection of the given diagram:
a = 2xb = 6xc = 200Substitute these values into the formula and solve for x.
\(\begin{aligned} (2x)^2+(6x)^2&=200^2\\2^2\cdot x^2+6^2\cdot x^2&=40000\\4x^2+36x^2&=40000\\40x^2&=40000\\x^2&=1000\\x&=\sqrt{1000}\\x&=\sqrt{100 \cdot 10}\\x&=\sqrt{100}{\sqrt{10}\\x&=10\sqrt{10}\end{aligned}\)
Substitute the found value of x into the expression for each side length.
\(2x=2 \cdot 10\sqrt{10}=20\sqrt{10}\)
\(6x=6\cdot 10\sqrt{10}=60\sqrt{10}\)
Therefore, the exact side lengths of the given right triangle are:
\(20\sqrt{10}\; \textsf{ft}, \;\;60\sqrt{10}\; \textsf{ft}, \;\; 200\; \textsf{ft}\)
The side lengths to the nearest hundredth are:
63.25 ft189.74 ft200 ft