30 POINTS ANSWER ASAP!!!!
Determine the perimeter of the right triangle shown.
right triangle with vertices at negative 4 comma 4, 4 comma 4, and 4 comma negative 2
10 units
24 units
36 units
64 units
Answers
Answer: 24 units.
Step-by-step explanation: To find the perimeter of the right triangle, you need to add up the lengths of all three sides of the triangle.
The right triangle shown has a vertex at (-4, 4), another vertex at (4, 4), and a third vertex at (4, -2). The length of the side between the first two vertices can be calculated using the distance formula:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
= sqrt((4 - (-4))^2 + (4 - 4)^2)
= sqrt(8^2 + 0)
= sqrt(64)
= 8
The length of the side between the second and third vertices can be calculated using the distance formula:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
= sqrt((4 - 4)^2 + (-2 - 4)^2)
= sqrt(0 + (-6)^2)
= sqrt(36)
= 6
The length of the hypotenuse of the right triangle can be calculated using the Pythagorean theorem:
c^2 = a^2 + b^2
c = sqrt(a^2 + b^2)
= sqrt(8^2 + 6^2)
= sqrt(64 + 36)
= sqrt(100)
= 10
To find the perimeter of the triangle, add up the lengths of all three sides: 8 + 6 + 10 = 24 units.
Therefore, the perimeter of the right triangle is 24 units.
Related Questions
if a test has a standard deviation of 20 and a reliability of .90, what is the standard error of measurement?
Answers
The standard error of this measurement is 6.32
How to determine the standard error of measurement?The standard error of measurement is simply the estimate of how repeated measures of an entity on the same instrument tend to be distributed around the entity' “true” score.
In this case, we have the following parameters
Standard deviation = 20
Reliability = 0.90
The standard error of measurement from the standard deviation and the reliability is calculated using the following formula
Standard error of measurement = Standard deviation * √1 - reliability
Substitute the known values in the above equation, so, we have the following representation
Standard error of measurement = 20 * √1 - 0.90
This gives
Standard error of measurement = 20 * √0.10
Evaluate
Standard error of measurement = 6.32
Hence, the standard error in this case is 6.32
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find two unit vectors that make an angle of 60° with v = 8, 6
Answers
The two unit vectors are (2/5 +√5/10, 3/10 + 2√5/15) and (2/5 -√5/10, 3/10 - 2√5/15).
Given that, Angle = 60°, v = 8, 6
Consider unit vector a = (x, y)
x² + y² = 1 …. (1)
Now apply the dot product of unit vector with v
a.v = |a||v|cos Ø
a.v = √ (x² + y²) √ (8² + 6²) cos 60º
8x + 6y = 1 × 10 × ½
So we get,
8x + 6y = 5 …. (2)
y = (5 - 8x) / 6
Substituting the value of y in equation (1)
x² + y² = 1
x² + [(5 - 8x)/6]² = 1
x² + 25/36 + 16x²/9 - 20x/9 = 1
25x²/9 - 20x/9 = 11/36
So we get,
4 × (25x² - 20x) = 11
100x² - 80x = 11
100x² - 80x - 11 = 0
Now solve the quadratic equation,
x = { 2/5 ± √5/10}
Substituting the value of x in equation (2)
y = 3/10 ± 2√5/15
Therefore, the two unit vectors are (2/5 +√5/10, 3/10 + 2√5/15) and (2/5 -√5/10, 3/10 - 2√5/15).
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Find the area and perimeter of rectangle DEFG whose
endpoints are D(-3, 1), E(1, 3), F(2, 1), and G(-2, -1)
Answers
The area of rectangle DEFG is 16 square units and its perimeter is 12 units.
To find the area, we can use the formula: Area = length x width We can find the length and width by calculating the distance between the coordinates of opposite sides of the rectangle.
Length = EF =
\( \sqrt{} ((2-1)^2 + (1-3)^2)\)
=
\( \sqrt{} (2 + 4) = \sqrt{} (6)\)
Width = DG =
\( \sqrt{} ((-3+2)^2 + (1+1)^2) = \sqrt{} (2 + 4) = \sqrt{} (6)\)
The area of rectangle DEFG = length x width =
\( \sqrt{} (6) x \sqrt{} (6)\)
= 6 x 2 = 16 square units.
To find the perimeter, we can add up the lengths of all four sides: Perimeter = DE + EF + FG + GD
DE =
\( \sqrt{} ((1+3)^2 + (-3+(-1))^2) = \sqrt{} (16 + 4) = \sqrt{} (20)\)
EF =
\( \sqrt{} ((2-1)^2 + (1-3)^2) = \sqrt{} (2 + 4) = \sqrt{} (6)\)
FG =
\( \sqrt{} ((2+2)^2 + (1+1)^2) = \sqrt{} (16 + 4) = \sqrt{} (20)\)
GD =
\( \sqrt{} ((-2+3)^2 + (-1-1)^2) = \sqrt{} (1 + 4) = \sqrt{} (5)\)
The perimeter of rectangle DEFG =
\( \sqrt{} (20) + \sqrt{} (6) + \sqrt{} (20) + \sqrt{} (5) \)= 12 units.
Hence, The area of the rectangle is 16 square units and the perimeter is 12 units.
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i need help, please please hurry!!!!!! DUE SOON
Answers
Answer:
C
Step-by-step explanation:
While there is an outlier coordinate, it's still generally a positive correlation.
Answer:
I believe that should be right.
Step-by-step explanation:
I took a look at positive correlation graphs are they look like that. Negative correlation would mean the values would be going down as the time passes on.
Which system of measurement uses the minim as the basic unit of liquid measure?
Answers
The apothecary system uses the minim as the basic unit of liquid measure and the grain as the basic unit of solid measure.
What is apothecary measurement?
The apothecary system was once a system of weights and measurements used for drug prescription and dispensing. A pound was divided into 12 ounces in the English version, which also divided an ounce into eight drams or drachms and a dram into three scruples, or 60 grains.What are the units of the apothecary system?
The grain, scruple (20 grains), dram (3 scruples), ounce (8 drams), and pound—a ancient scale of weight used in the British Isles for measuring and distributing pharmacological goods (12 ounces).
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This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Select the correct choices to complete the sentence.
TICKETS Jamal has $40 to buy tickets to a performance for himself and his friends. If he buys a $10 membership, he can buy tickets for $5 each. How many tickets can he buy while remaining within his budget?
Part A
If x represents the number tickets Jamal purchases, write an inequality that represents the situation.
, 1 of 4.
Select Choice
+, 2 of 4.
Select Choice
x , 3 of 4.
Select Choice
, 4 of 4.
Select Choice
Part B
Select the correct choices to complete the sentence.
Part B
Solve the inequality.
x , 1 of 2.
Select Choice
, 2 of 2.
Select Choice
Answers
Within his budget, he can still purchase 6 tickets. The inequality is 40 < 5x + 10.
Unitary method: what is it?The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
In light of the query
With his $40, Jamal may get tickets for himself, his friends, and a show.
If he spends $10 to join a membership,
Money remaining = $40 - $10 = $30
Now he may purchase the ticket at $5 apiece.
Now, tickets that he may purchase while staying within his budget found using utilizing the unitary technique.
Tickets= $30 / $5
Tickets = 6
As a result, he may purchase the remaining 6 tickets for his budget.
A:
Number of tickets = x
Hence, the inequality is 40 < 5x + 10.
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Angles Q and R form a right angle. Angle Q is twice as large as angle R. What is the measure of angle Q?
Answers
Answer:
60°
Step-by-step explanation:
Let m<R = x.
Let m<Q = 2x.
m<Q + m<R = 90
2x + x = 90
3x = 90
x = 30
m<Q = 2x = 2(30) = 60
Answer: 60°
Kyle missed 3 questions on the math exam. If he missed 15% of the questions, how many questions were on the exam all together?
Answers
Answer:
There were 20 questions on the test.
Hope this helps!
There is a probablity of ____ that any individual at a random from
a population will fall (plus or minus) one standard deviation of
the mean.
Answers
Step-by-step explanation:
I hope this answer is helpful ):
Solve for b.
15 - 3b=63
Answers
subtract 15 from both sides
-3b=48
divide -3 from both sides
b= -16
Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
Answers
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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the histogram gives information about a fitness club.
Pls help.
Answers
Answer:
99 members
Step-by-step explanation:
Trust me it 99 I done it on mathswatch
The total number of members of the club will be 128 members.
What is meant by histogram?A histogram exists a display of statistical information that utilizes rectangles to exhibit the frequency of data items in successive numerical intervals of equivalent size.
b) The total number of members of the club will be:
= 25 + 38 + 32 + 24 + 9
= 128
The total number of members of the club will be 128 members.
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The link between the bases on a basketball field is 93 a scale drawing shows the distance between the Bases as 1 1/2 to 1 inch on the drawing equals how many feet
Answers
Answer:
Distance on drawing is 11.7 feet.
Step-by-step explanation:
A scale is a factor that can be used to either increase or decrease the size of an object.
Scale = \(\frac{distance on drawing}{original distance}\)
Given that:
scale = \(\frac{3}{2}\) to 1 inch, and the original distance = 93 inches
So,
\(\frac{3}{2}\) : 1 = \(\frac{distance on drawing}{93}\)
\(\frac{3}{2}\) ÷ 1 = \(\frac{distance on drawing}{93}\)
\(\frac{3}{2}\) x \(\frac{1}{1}\) = \(\frac{distance on drawing}{93}\)
distance on drawing = \(\frac{3*93}{2}\)
= \(\frac{279}{2}\)
= 139.5
distance on drawing = 139.5 inches
Since 12 inches = 1 foot, then;
Distance on drawing in feet = \(\frac{139.5}{12}\)
= 11.625 feet
Distance on drawing is 11.7 feet.
To study this, you administer to your subjects a drink that is equivalent to three 12-ounce beers, followed by the equivalent of two cups of coffee. You then have your subjects complete a simulated driving task in which the drivers must follow a fixed speed limit while driving on a straight road. Wind periodically and randomly pushes the simulated vehicle right, left, or not at all. Motor control is measured in terms of the number of feet the car moves from the center of the driving lane, with 1 foot being the smallest unit on the scale.
Suppose the first subject scores 15 feet. Determine the real limits of 15.
a. The lower real limit is: ____________
b. The upper real limit is: __________
Answers
a. The lower real limit is 14.5.
b. The upper real limit is 15.5.
The formula for calculating real limits is Real Limit = Raw Score ± 0.5. The real limits can be used to determine if an individual's score is significantly different from the population mean. The real limits are computed to ensure that the distribution is symmetrical about the mean.
In this case, the first subject's raw score is 15 feet. Therefore, the lower real limit is 14.5 (15 - 0.5), and the upper real limit is 15.5 (15 + 0.5). The score of 15 feet is considered normal if it falls between the real limits. However, if it falls outside of the real limits, it is considered significantly different from the population mean. Thus, the real limits are essential for analyzing the scores obtained in this study.
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HELPP!!
What is the approximate sum of this series?
Answers
Answer:
The answer of this question is 134.83
20 POINTS and BRAINLEST
Find the sum. Include all calculations in your answer.
-4 5/8 + 2 1/8
Answers
Answer:
-2.5
Step-by-step explanation:
-4 5/8 = -4.625
2 1/8 = 2.125
-4.625 + 2.125 = -2.5
Answer:
-20/8 or -2 1/2
Step-by-step explanation:
-4 5/8 + 2 1/8
Convert mixed numbers into improper fractions
-37/8 + 17/8
Add the numerators but NOT the denominators
Final Answer: -20/8 or -2 1/2
can i get brainiest
– 5–3+ – 2v+8v what is does this mean
Answers
The simplified form of the expression -5 - 3 + -2v + 8v is -8 + 6v, which represents the combined result of the numerical terms and the variable terms.
The expression -5 - 3 + -2v + 8v represents a combination of numbers and variables that can indeed be simplified using the rules of arithmetic.
To simplify the expression, we can start by combining the numerical terms -5 and -3, resulting in -8. Then, we can combine the variable terms -2v and 8v by adding them, which gives us 6v.
After combining the numerical and variable terms, the simplified expression becomes -8 + 6v. This means we have subtracted 5 and 3, and then added the result to -2v and 8v.
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Here’s a graph of a linear function. Write the equation that describes that function. Express it in slope-intercept form.
Answers
Answer:
y=1/3x-3
Step-by-step explanation:
slope = (y2-y1)/(x2-x1)
Use the two points: (0,-3) (3,-2)
slope = (-3+2)/(0-3)
slope = -1/-3 = 1/3
y intercept = -3
Equation: y=1/3x-3
a water jug is in the shape of a prism the area of the base is 100 square inches and the height is 20 inches how many gallons of water can it hold (1 gallon equals 231 inches cubed)
Answers
The amount of gallons of water the Jug can hold is 8.66 gallons.
How to find the gallons of water the prism can hold?The water jug is in the shape of a prism the area of the base is 100 square inches and the height is 20 inches.
Therefore, the number of gallons of water the jug can hold can be calculated as follows:
volume of the prism = Bh
where
B = base area h = height of the prismTherefore,
volume of the prism = 100 × 20
volume of the prism = 2000 inches³
Therefore,
231 inches³ = 1 gallon
2000 inches³ = ?
cross multiply
amount of water the jug can hold = 2000 / 231
amount of water the jug can hold = 8.66 gallons
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Which equation can be used to determine the voltage for a given amount of resistance
Answers
Problem 5.5 (Video 4.1 - 4.7, Lecture Problem) You are manufacturing parts that have quite a bit of variability in their quality. Let us model this by sayingXis Uniform[1,2]. The lifetime of a part is modeled byY, and we know thatYgivenX=xisExponential(x). (a) AreXandYindependent? (b) What is the jointPDFfX,Y(x,y)? (c) CalculateP[Y<1]. (d) Determine the marginal PDFfY(y). (e) Find the expected value ofYusingfY(y). (f) Find the conditional expected valueE[Y∣X=x]ofYgivenX=x. (This should be in closed form.) (g) UsingE[Y]=E[E[Y∣X]]find the expected value ofY. (This should be in closed form.) (h) What isE[X+Y]? (This should be in closed form.) (i) Solve forE[XY]
Answers
The expected value is the arithmetic mean of a large number of independently selected outcomes of a random variable.
a) No, X and Y are not independent since the lifetime of a part (Y) is modeled by X.
b) The joint PDF fX,Y(x,y) = x-1exp(-xy) for 1 ≤ x ≤ 2, y ≥ 0, 0 otherwise.
c) P[Y < 1] = 1 - exp(-x) for 1 ≤ x ≤ 2.
d) The marginal PDF fY(y) = exp(-xy) for 1 ≤ x ≤ 2, y ≥ 0, 0 otherwise.
e) The expected value of Y using fY(y) is 1/x for 1 ≤ x ≤ 2.
f) The conditional expected value of Y given X = x is 1/x for 1 ≤ x ≤ 2.
g) Using E[Y] = E[E[Y∣X]], the expected value of Y is 1.
h) The expected value of X + Y is 2.
i) The expected value of XY is 1.
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find x
-2(3x - 5) = 4(x+3)+8
Answers
Answer:
Step-by-step explanation:
(You will have to distribute first.)
-2(3x-5)=4(x+3)+8
-6x+10=4(x+3)+8
-6x+10=4(x+3)+8
-6x+10=4x+12+8
(Now you will have to add the numbers.)
6x+10=4x+12+8
-6x+10=4x+20
(Now you will have to subtract 10 from both sides of the equation.)
-6x+10=4x+20
-6+10-10=4x+20-10
(Now you will have to simplify.)
-6x=4x+10
(You will now subtract 4x from both sides of the equation.)
-6x=4x+10
-6x-4x=4x+10-4x
(You will now simplify again.)
-10x=10
(Now divide both sides of the equation by the same term.)
-10x=10
----- ---- (Dividing -10)
-10 -10
(You will get x=-1 as the answer.)
6 ÷(-1/2) help me!! With a strategy 2 pls!!!!
Answers
The result of the given quotient as required to be determined in the task content is; -12.
What is the result of the quotient?As evident in the task content; the given quotient is;
6 ÷ (-1 / 2)
= 6 × (2 / -1)
= (6 × 2) / -1
= 12 / -1
= -12.
Ultimately, the result of the given quotient is; -12.
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Which equation would help find the measure of ZM?
O x +52 + 78 = 180
O 52 + x = 180 + 78
O 180 + 52 = 78 + x
O 180 + x = 78 + 52
Answers
Answer:
\( \huge \boxed{ \boxed{ \sf x + 52 ^{o} + 7 {2}^{o} =18 {0}^{o} }}\)
Step-by-step explanation:
to understand thisyou need to know about:triangleequationPEMDASgiven:\(\angle V=52°\)\(\angle P=78°\)to find:the equationtips and formulas:a triangle contains 180° let's solve:\(\text{since a triangle contains 180° the sum of the interior angles has to be 180°}\)
\(\text{therefore the equation is}\)
\( \mathfrak{x + {52}^{o} + {78}^{o} = 180 ^{0} }\)
Explanation:
The sum of all 3 angles in a triangle is 180.
x + 78 + 52 = 180
x = 180 - 78 - 52
x = 50
what is happening to this graph when the x values are between -8 and -4
a is it constant
b decreasing
c increasing
i say increasing am i right ?
Answers
Answer:
the answer is C increasing. yes of course you are right. please mark me as the brilliant pleasee!
a child has toy blocks that contain the numbers 1 through 80. what is the probability that the child will pick up a number that is not a multiple of 11? give your answer in fraction form.
Answers
The probability that the child will pick up a number that is not a multiple of 11 is 73/80.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.
Here,
The multiple of 11 in 1 to 80,
=11,22,33,44,55,66,77
So there are 7 multiples of 11 in this series
the probability that the child will pick up a number that is not a multiple of 11,
=(80-7)/80
=73/80
There is a 73/80 chance that the youngster will choose a number that is not a multiple of 11.
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In ADEF, the measure of F=90°, the measure of D=69°, and FD = 64 feet. Find
the length of DE to the nearest tenth of a foot
Answers
Answer:
178.6 thank me later
Step-by-step explanation:
below. a) Which of the boxes has the smaller range of masses? b) What is the value of this range? Give your answer in grams (g). Box A 97653 4 Box A Box B 15 1469 5 6 2 478 39 835 8762 7 Box B Key 35 represents a mass of 53 g 51 represents a mass of 51 g
Answers
Box B has the smaller range of masses, with a range of 49 grams, compared to Box A's range of 97,649 grams.
The question asks which of the boxes has the smaller range of masses and what is the value of this range in grams (g).
To find the range, we need to subtract the smallest value from the largest value in each box.
In Box A, the smallest value is 4 and the largest value is 97653. So, the range in Box A is 97653 - 4 = 97649 g.
In Box B, the smallest value is 2 and the largest value is 8762. However, we are given that key 35 represents a mass of 53 g and key 51 represents a mass of 51 g. So, the actual largest value in Box B is 51. Therefore, the range in Box B is 51 - 2 = 49 g.
Comparing the ranges, we can see that the range in Box B (49 g) is smaller than the range in Box A (97649 g).
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A rectangular field has these measurements kim walks around the edge of the field. she walks less than 1km. form and solve an equality to find the possible values of t
Answers
The inequality equation for the measurements of the rectangular field must satisfy t<225.
What is an inequality ?If two real numbers or the algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then the relation is called an inequality.
The length of the rectangle is 2t meters
the breadth of the rectangle is 50 meters
The perimeter of the rectangle is given by 2×(length+breadth)
Here the perimeter of rectangle is less than 1km=1000meter
Forming an equation with the given data
2×(2t+50)<1000
2t+50<\(\frac{1000}{2}\)
2t+50<500
2t<500-50
2t<450
t<\(\frac{450}{2}\)
t<225
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The correct question is "A rectangular field has these measurements kim walks around the edge of the field. she walks less than 1km. form and solve an equality to find the possible values of t when length of the field is 2t meters and breadth is 50 meters"
is a transformation involving the addition, subtraction, multiplication, or division of or by a constant.
Answers
Yes, a transformation can involve the addition, subtraction, multiplication, or division of or by a constant. In fact, these operations are commonly used in mathematical transformations.
For example, adding a constant to each value in a set of data is a common way to shift the entire set of values up or down. Multiplying each value in a set of data by a constant is a common way to stretch or shrink the data. Subtraction and division can also be used in transformations, depending on the context. However, it is important to note that not all transformations involve these operations.
Some transformations may involve more complex operations, such as exponentiation or logarithmic transformations. So, the short answer is yes, but the long answer is that it depends on the specific transformation being used.
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