Triangle IJK, with vertices I(-9,-8), J(-5,-6), and K(-7,-3), is drawn on the coordinate grid below.
Answers
Answer:
\(Area= 8\)
Step-by-step explanation:
Given
\(I = (-9,-8)\)
\(J = (-5,-6)\)
\(K = (-7,-3)\)
The complete part of the question is to calculate the area of IJK
The area is calculated using:
\(Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3 |\)
Where:
\(I = (-9,-8)\) --- \((x_1,y_1)\)
\(J = (-5,-6)\) --- \((x_2,y_2)\)
\(K = (-7,-3)\) --- \((x_3,y_3)\)
So, we have:
\(Area = \frac{1}{2}|(-9*-6) - (-5*-8) + (-5*-3) - (-7*-6) + (-7*-8) - (-9*-3) |\)
Solve the brackets
\(Area = \frac{1}{2}|54 - 40 + 15- 42 + 56 - 27 |\)
\(Area = \frac{1}{2}|16|\)
The absolute value of 16 is 16
So:
\(Area = \frac{1}{2} * 16\)
\(Area= 8\)
Related Questions
The height of the house is 35 feet. What is the height x of each story?
Answers
Answer:
14
Step-by-step explanation:
35-7 is 28. 28 divided by 2 is 14.
can you answer all of these
Answers
The eight triangle round the triangle measure is a geometric concept which involves the measurement of the angles and sides of a triangle to two decimal places.
What is triangle?Triangle is a geometric figure with three sides and 3 angles it is one of the basics safe in geometry triangle and either write a cute or obtuse depending on the size of each angle the sum of the angle in a triangle is 180 degree. Triangle can be classified into equatorial isosceles,and skelenal triangles, depending on the triangle of the side. All three type of triangle have various application in mathematics physics and engineering.
This is done by using the values of the sides and angles of the triangle to calculate the length and degree measurements of the triangle. The calculation is done using the trigonometric functions of sine, cosine and tangent. By using the values of the sides and angles of the triangle, the measurements of the triangle can be calculated to two decimal places. This method is used to find the exact measurements of a triangle and is quite accurate.
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simplify (2a)^-1 ×3a^2 URGENT
Answers
Answer:
Hope the picture will help you.......
boy can mow a lawn in 90 minutes and his sister can mow the same lawn in 60 minutes. how long will it take for both mowing at the same time to mow the lawn?
Answers
The time taken by both to mow the lawn is 36 minutes.
This is a question of time and work.
It is given that:-
Time taken by boy to mow the loan = 90 minutes.
Time taken by girl to mow the loan = 60 minutes.
We have to find the time taken by both of them together to mow the lawn.
LCM(60,90) = 180
Let the total work to be done to mow the lawn be 180 units.
Hence,
Efficiency of boy = 180/90 = 2 units
Efficiency of girl = 180/60 = 3 units
Total efficiency = 2 + 3 = 5 units.
Hence, time taken by both of them to mow the lawn = 180/5 = 36 minutes.
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The normal to the curve y =root x, at the point where x=1 and x=4 meet at P, find the coordinates of P.
Answers
The curve is y = sqrt{x}.
Replace x in the curve with 1 and then with 4 to find your point.
y = sqrt{1}
y = 1
First point (1, 1).
y = sqrt{4}
y = 2
Second point (4, 2).
Take it from here.
Complete the steps to calculate the density of the steel. Calculate the volume of the prism. Recall that the area of a hexagon is One-half times the apothem times the perimeter. V = cm3 Calculate the volume of the cylinder. Round to the nearest hundredth. V = cm3 Find the volume of the composite figure. V = cm3 Calculate the density by dividing the mass by the volume. D = g/cm3.
Answers
Answer:
(A) ✔ 0.45
(B) ✔ 0.06
(C) ✔ 0.39
(D) ✔ 7.77
Step-by-step explanation:
Got it right, hope this helps!
three light bulbs are selected at random from a group of 15 good ones and 9 defective ones. find the probability that:
Answers
Answer:
Step-by-step explanation: I hypothesize
that I'm going to choose a defective light bulb
can i have some help pls
The ratio of boys to girls in a class is 3:5. There are 40 students in the class. How many more girls than boys are there?
Answers
Answer:
3x+5x=40
=8x=40
=x=5
then no.of boys= 3×5 = 15
and no. of girls= 5×5=25
girls more than boys= 25-15=10
mark me brainliest
pls it takes too much time to solve this
Answer:
There will be 10 more girls than boys in the class.
Step-by-step explanation:
5x+3x=40
8x = 40
8x/8 = 40/8
x = 5
5*2 = 10
Sets and Venn diagrams please help
Answers
Answer:
1) 110
2) 17
3) 18
4) 92
Step-by-step explanation:
Which expression converts 45° to radians?
45 degrees times 180 degrees
45 degrees times StartFraction 180 degrees Over pi EndFraction
45 degrees times StartFraction pi Over 180 degrees EndFraction
45 degrees times pi
Answers
Answer:
45 degrees times StartFraction pi Over 180 degrees EndFraction
Reduce to simplest form.
-7/12 +3/8
Answers
Answer:
ok so you should get -5/24 in simplest form.
Decimal form- -0.2083 repeating
Step-by-step explanation:
Hope this helped :)
At the beginning of the year, Mrs. Wilkinson's class had 19 packages of colored paper. So far, the class has used 401 pieces of colored paper.
If each package of colored paper contained 75 pieces, how many pieces of colored paper does the class have left?
I need help
Answers
Answer:
1024 pages left
Step-by-step explanation:
19 pack * 75 page/pack - 401 page =
what is the invariant of a class quizlet always make an explicit statement of the rules that dictate how the member variables of a class are used. these rules are called the invariant of the class. all of the functions (except the constructors) can count on the invariant being valid when the function is called. each function also has the responsibility of ensuring that the invariant is valid when the function finishes.
Answers
In the object-oriented programming paradigm, a class invariant is a property that must always be true for any instance of a class. It is a condition or a set of conditions that must be maintained by all member functions for the proper functioning of a class.
A class invariant, therefore, is a formal statement of the rules that dictate how the member variables of a class are used. All member functions (with the exception of constructors) can depend on the invariant being valid when the function is called. Each function is also responsible for ensuring that the invariant is valid when the function finishes.
The invariant represents an important constraint that must be maintained in a class. As a result, a well-defined class invariant is important for the stability and reliability of the class.
The class invariant may be a single condition or a set of conditions that need to be maintained for the class to operate correctly. These conditions may be explicitly stated in the class documentation or in the form of assert statements in the class implementation. The invariant may be as simple as a range constraint or as complex as a logical relationship between multiple variables.
In any case, the invariant must be maintained by all the member functions of the class. the invariant of a class is a set of rules that govern how the member variables of a class are used. It is a condition that must always be true for any instance of a class. The invariant is important for the stability and reliability of a class, and each member function is responsible for ensuring that the invariant is valid when the function finishes.
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In my dreams, the price of gasoline fell from $3.85 to $1.54. What was the percent decrease?
Answers
Answer:
60%
Step-by-step explanation:
Formula:
Percentage decrease = (amount of decrease)/(original price)
✪ Solve ✪
3.85 - 1.54/3.85 x 100
2.31/3.85 x 100 = 60%
Hence, Percent decrease is 60%
~Lenvy
Esme buys jacketsfor 500 each and prices them for 700 each.If the selling price is reduced by 20%. how much profitdoes Esme make on each items .
Answers
Answer:
($) 60 is the profit per item when the selling price is reduced by 20%
Step-by-step explanation: 20% of 700 is 140.
The original profit is 700 - 500 = 200. The selling price is 140 less, Subtract 140 from 200. That leaves a profit of 60. (Not necessarily dollars, as the currency was not given in the question.)
how to find sample size with margin of error on ti 84
Answers
The appropriate sample size formula on the TI-84 calculator, you can determine the sample size needed to achieve your desired margin of error for estimating population parameters.
To find the sample size with a desired margin of error on a TI-84 calculator, you can use the following steps:
1. Determine the desired margin of error: Decide on the maximum allowable difference between the sample estimate and the true population parameter. For example, if you want a margin of error of ±2%, your desired margin of error would be 0.02.
2. Determine the confidence level: Choose the desired level of confidence for your interval estimate. Common choices include 90%, 95%, or 99%.
Convert the confidence level to a corresponding z-score. For instance, a 95% confidence level corresponds to a z-score of approximately 1.96.
3. Calculate the estimated standard deviation: If you have an estimate of the population standard deviation, use that value. Otherwise, you can use a conservative estimate or a pilot study's standard deviation as a substitute.
4. Use the formula: The sample size formula for estimating a population mean is n = (z^2 * s^2) / E^2, where n represents the sample size, z is the z-score, s is the estimated standard deviation, and E is the desired margin of error.
5. Plug in the values: Input the values of the z-score, estimated standard deviation, and desired margin of error into the formula. Use parentheses and proper order of operations to ensure accurate calculations.
6. Calculate the sample size: Perform the calculations using the calculator, making sure to include the appropriate multiplication and division symbols. The result will be the recommended sample size to achieve the desired margin of error.
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Carmen has taken out a loan for $800 to buy a car. she plans to pay back the loan at a rate of $40 per month. ramona has borrowed $500 to buy a car, which she plans to pay back at a rate of $20 per month. how long will it take ramona to pay back her loan? a. 25 months b. 20 months c. 15 months d. 10 months please select the best answer from the choices provided a b c d
Answers
Answer:a
Step-by-step explanation: 20 x 25=500
What is the measure of angle BOC'?
A) 79 degrees
B) 35 degrees
C) 66 degrees
D) 114 degrees
Answers
Hel0 pls did not study
Answers
The value of w in the given equation \(5=\frac{1}{5} w\) is 5.
What is an equation?An equation is a statement that asserts the equality of two expressions. These expressions are written one on each side of an '=' equal to sign.
Given, \(5=\frac{1}{5} w\)
To find the value of w:
First we have to multiply both sides of the equation by 5 we get,
\(5*5=\frac{1}{5}*w*5\)
Since 1/5 is reciprocal of 5, so their product is 1, \(5*\frac{1}{5} * w=w\)
So, 25 = w
Switching the sides we get,
w=25
Hence, the value of w in the given equation \(5=\frac{1}{5} w\) is 5.
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A card is drawn randomly from a standard 52 car deck find the probability of the given eventThe car drawn is 10 p(10) =The car drawn is not 10p(not 10) =The card drawn as a face card (jack, queen, king) p (face card) = The car drawn is not a face cardp( not a face card) =
Answers
The probability of the given event: The car drawn is 10 p(10) =1/13,The car drawn is not 10p(not 10) =12/13,The card drawn as a face card (jack, queen, king) p (face card) = 3/13
The car drawn is not a face cardp( not a face card) = 10/13
To find the probability of each event, we'll divide the number of successful outcomes by the total number of possible outcomes (52 cards in a standard deck).
1. The card drawn is a 10 (p(10)):
There are four 10s in a standard deck (one in each suit).
Probability: p(10) = 4/52 = 1/13
2. The card drawn is not 10 (p(not 10)):
There are 48 cards that are not 10s in a standard deck.
Probability: p(not 10) = 48/52 = 12/13
3. The card drawn is a face card (Jack, Queen, King) (p(face card)):
There are 12 face cards in a standard deck (3 face cards per suit, 4 suits).
Probability: p(face card) = 12/52 = 3/13
4. The card drawn is not a face card (p(not face card)):
There are 40 cards that are not face cards in a standard deck.
Probability: p(not face card) = 40/52 = 10/13
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The factor theorem can help use determine if a factor is a [blank] of a polynomial
Answers
If and only if f(a) = 0, a polynomial f(x) has a factor (x-a). It's one of the techniques for factoring a polynomial.
A polynomial is an equation made up of coefficients and in determinates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables.
The factor theorem can help us determine if a factor is a "root" or "zero" of a polynomial. In other words, if we have a polynomial function, the factor theorem allows us to check if a particular value (usually represented by the variable x) is a solution to the polynomial equation, which means that when we plug in that value for x, the resulting output of the polynomial function will be zero. If it is, then we know that (x - a) is a factor of the polynomial, where "a" is the solution we found.
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Please help me on my question I don’t know what I’m doing wrong
Answers
Given:
\(f(x)=4x^2-8x-4\)The x-intercepts are the values of x where the function or y-coordinate is zero.
Therefore, the x - intercepts are given when f(x)=0
Hence putting f(x)=0,we get:
\(\begin{gathered} f(x)=0 \\ 4x^2-8x-4=0 \end{gathered}\)The solutions of quadratic equation are given as:
\(x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)Here, a = 4 b = -8 c = -4,
\(\begin{gathered} x=\frac{8\pm\sqrt[]{64-(4\times-4\times4)}}{2\times4} \\ =\frac{8\pm\sqrt[]{64+64}}{8} \\ =\frac{8\pm\sqrt[]{128}}{8} \\ =\frac{8+\sqrt[]{128}}{8},\frac{8-\sqrt[]{128}}{8} \\ =\frac{8+11.3137}{8},\frac{8-11.3137}{8} \\ =\frac{19.3137}{8},\frac{-3.3137}{8} \\ =2.4142125,-0.4142125 \\ =2.4,-0.4 \end{gathered}\)Hence, the x intercepts are ( - 0.4,0 ) and ( 2.4,0)
Since the graph is an upward parabola, it will have a minimum value at its vertex that is (1,-8) and hence, the minimum value of f(x) is - 8.
P = $3650, r = 3.5%, t = 16years compounded monthly
Answers
The final amount in the account after 16 years, compounded monthly at a 3.5% annual interest rate, is $6384.74.
We can use the formula for compound interest to calculate the final amount, A, in the account after 16 years:
\(A = P * (1 + r/n)^{(n*t)}\)
where P is the principal (initial amount) in the account, r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the number of years.
In this case, P = $3650, r = 0.035 (since 3.5% is the annual interest rate as a decimal), n = 12 (since the interest is compounded monthly), and t = 16.
Substituting these values into the formula, we get:
A = $3650 * (1 + 0.035/12)^(12*16) ≈ $6384.74
Therefore, the final amount in the account after 16 years, compounded monthly at a 3.5% annual interest rate, is $6384.74.
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Kyle is tossing bean bags at a target. So far, he has had 22 hits and 14 misses. What is the experimental probability that Kyle's next toss will be a hit?
Answers
The experimental probability that Kyle's next toss will be a hit is 11/18 or approximately 0.61.
The experimental probability of Kyle's next toss being a hit can be calculated by dividing the number of hits by the total number of tosses. In this case, the total number of tosses is the sum of hits and misses, which is 22 + 14 = 36. Therefore, the experimental probability of Kyle's next toss being a hit is 11/18 or approximately 0.61.
To find the experimental probability of Kyle's next toss being a hit, you need to consider the number of hits and total tosses so far.
Hits: 22
Misses: 14
Total tosses: 22 hits + 14 misses = 36 tosses
Now, calculate the experimental probability by dividing the number of hits by the total number of tosses:
Experimental probability = Hits / Total tosses = 22 / 36
Simplify the fraction:
Experimental probability = 11/18
So, the experimental probability that Kyle's next toss will be a hit is 11/18.
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Answer:
11/18
Step-by-step explanation:
WHO CAN HELP ME ON THIS? Due soon!
Answers
Find the area of the largest rectangle that can be inscribed in the ellipse x2 / a2 + y2 / b2 = 1.
Answers
The maximum area of the rectangle inside the ellipse is 2ab.
Given that,
Ellipse = x2 / a2 + y2 / b2 = 1
we know the general coordinates of any point in an ellipse of the equation
x2 / a2 + y2 / b2 = 1 is (acosθ,bsinθ)
So, we take general vertices of rectangles as
(acosθ,bsinθ), (acosθ,-bsinθ), (-acosθ,bsinθ), and (-acosθ,-bsinθ)
So, we can see that length and breadth of the rectangle is 2acosθ and 2bsinθ
So, its area will be ab4sinθcosθ (Length x Breadth)
Applying trigonometric formula 2sinθcosθ=sin2θ, let area equals to A
Now A=2absin2θ
Now as the area is the maximum given in the question, we have to differentiate it with respect to θ
dA/dθ=2abcos2θ×2 (using dsin2θ / dθ=2cos2θ)
Equating dA / dθ=2abcos2θ×2=0, it means cos2θ=0 , which means 2θ = π / 2 and θ=π / 4
So now we to put θ=π / 4 in the equation of area which is A=2absin2θ
We get as A=2absin2π / 4=2absinπ / 2=2ab
Hence the max area of the rectangle inside the ellipse is 2ab.
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Solve for x. The polygons in the pair are similar. The scale factor is 6:5
Answers
Answer:
11
Step-by-step explanation:
(48/6) x5 = 4x-4
simplify and you get X = 11
Answer:
x=11
Step-by-step explanation:
To find the missing side of the polygon (in this case, 4x-4), find the exact side of the other polygon (which is 48).
To find the side, use the ratio of 6:5-Divide 48 by 6 (8), and then multiply 8 by 5 (40).
So the size of the bottom side of the bottom polygon is 40.
Now, you must find x.
4x-4=40
4x=44
x=11
Hope this helps!
What is the value of x in this figure?
Answers
Answer:
65
Step-by-step:
A rectangular mural measures 1 meter by 3 meters. Rebekah creates a new mural that is 0.5 meters longer. What is the perimeter of Rebekah's new mural?
Answers
The perimeter of Rebekah's new mural is 9 meters.
What is rectangular perimeter?The whole distance that a rectangle's borders, or its sides, cover is known as its perimeter. Given that a rectangle has four sides, the perimeter of the rectangle will be equal to the total of its four sides.
Given:
A rectangular mural measures 1 meter by 3 meters.
Rebekah creates a new mural that is 0.5 meters longer.
The perimeter of Rebekah's new mural,
= 2 (1.5 + 3)
= 9 meters.
Therefore, the perimeter is 9 meters.
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Answer:
9
Step-by-step explanation:
write the slope intercept form of the equation with the given slope and y-intercept.
1. Slope= -10, y- intercept = -5 2. Slope= - 9/5, y- intercept = -4
3.Slope= -5/4, y- intercept = 5 4. Slope= 7, y- intercept = 5
Answers
Answer:
1. y = -10x - 5
2. \(y = \frac{9}{5}x - 4\)
3. \(y = -\frac{5}{4}x + 5\)
4. y = 7x + 5
Step-by-step explanation:
use y = mx + b
m = slope
b = y-intercept
1. Slope= -10, y- intercept = -5
y = -10x - 5
2. Slope= - 9/5, y- intercept = -4
\(y = \frac{9}{5}x - 4\)
3. Slope= -5/4, y- intercept = 5
\(y = -\frac{5}{4}x + 5\)
4. Slope= 7, y- intercept = 5
y = 7x + 5