The value of the side and angles of the triangle are: 7.9 and 78⁰ respectively
What is a triangle?A chord in mathematics is a straight line segment that joins two points on a curve, such as a circle or an ellipse. A chord of a circle is a straight line segment whose endpoints both lie on a circular arc. If a chord were to be extended infinitely on both directions into a line, the object is a secant line.
Using sine rule
<B is
8/sinB = 3/sin24
cross and multiply to get
(3sinB)/ 3 = (sin24)/3
this implies that
SinB = (8sin24)/3
SinB = (8*0.4067)/3
sin B = 0.1356
<B = sin⁻¹0.1356
<B = 77.9⁰
<C = 180 - (78+24)
<C = 78⁰
To find C, we use cosine rule
CosC = (a² +b² -c²) 2ab
Cos C = (8² + 3² - c²)/2*8*3
48* Cos78 = 64+9 -c²
48 * 0.2079 = 73 - c²
9.9792 = 73 - c²
-63.0208 = -c²
c = √63.020
c = 7.9 units
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In a perfectly symmetrical bell-shaped "normal" distribution
a) the arithmetic mean equals the median.
b) the median equals the mode.
c) the arithmetic mean equals the mode.
d) All the above.
The correct response is d) All the above. The arithmetic mean is equal to the median, the median is equal to the mode, and the mode is equal to the arithmetic mean.
If the data are graphed symmetrically, the distribution demonstrates 0% skewness regardless of how long or fat the tails are. When the median of a data set is utilized, 50% of the data points in the collection have values lower than or equal to the median, and 50% of them have values greater than or equal to the median. The middle score in the set is known as the median. The first step in calculating the median is to order the data points from smallest to greatest. The median in an odd-numbered set will be the value that falls exactly in the middle of the list. You must determine the average of the two middle numbers in a set of even numbers. The average is determined by summing up each value individually and dividing that sum by the total number of observations.
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Which equation demonstrates the commutative property?
A.
–(11 + (–4)) = –11 + 4
B.
(25 + 7) + (–12) = 25 + (7 + (–12))
C.
6 + (–13) = –13 + 6
D.
12 + (18 + (–6)) = (12 + 18) + (–6)
Answer:
b c
Step-by-step explanation:
Answer:
Option A and Option C
Step-by-step explanation:
Option B and Option D associative property
PLEASE ANSWER PLEASEEEEEEEEEEEEEEEEEEEEE
32 meters
18 meters
8 meters
6 meters
Answer:
18 meters
Step-by-step explanation:
24 is dilated by 3/4
Which means 24 * 3/4 or 24 * .75
i t h i n k
The diagram shows a floor in the shape of a trapezium. Tim is going to paint the floor. Each 5 litre tin of paint costs £16.99 and 1 litre of paint covers an area of 1.9 m2 How much would it cost to buy all the paint he needs? You must show how you get your answer. 0 m 16m £16.99
Answer: £186.89
Step-by-step explanation:
-We are given that each 5l tin of paint costs £16.99 . We therefore divide the paint used by 5 and multiply by £16.99:
Hence, it will cost £186.89 to buy all the paint
Answer:
=£186.89
Step-by-step explanation:
A=1/2(a+b)h
a||b dimensions
A=1/2(16+10)×7.6
=98.8m²
Given that 1 litre of paint covers an area of 1.9 sq m, we divide the area of the trapezium by this and multiply by the price per liter to get total cost:
paint used= Area/paint m²
98.8/1.9
=52 litres
We are given that each 5l tin of paint costs £16.99 . We therefore divide the paint used by 5 and multiply by £16.99
52/2
=10.4
11tins
cost=11×16.99
=£186.89
While going through some more data from the AP Stats survey, Meghan finds some
interest correlations between student participation in sports and their grades. Of the
students surveyed, 341 played at least one sport and were on honor roll; 121 played
at least one sport but weren't on honor roll; 363 played no sports and weren't on
honor roll; and 275 played no sports and were on honor roll.
Using a two-way frequency table, determine what percentage of respondents play at
least one sport for the school.
Answer: no answer
Step-by-step explanation:
Find a set of smallest possible size that has both \( \{4,5,8\} \) and \( \{1,2,6,10\} \) as subsets.
The set {1, 2, 4, 5, 6, 8, 10} has both {4, 5, 8} and {1, 2, 6, 10} as subsets and is of the smallest possible size.
To find a set of the smallest possible size that has both {4, 5, 8} and {1, 2, 6, 10} as subsets, we can take the union of the two subsets.
That is, we can combine all the elements from both subsets to form a new set.
To form the new set, we take the union of the two given subsets.
{4, 5, 8} U {1, 2, 6, 10} = {1, 2, 4, 5, 6, 8, 10}
The set {1, 2, 4, 5, 6, 8, 10} has both {4, 5, 8} and {1, 2, 6, 10} as subsets and is of the smallest possible size.
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Help me with answer asp
Answer:
picture #1 - 50.27 square units
picture #2 - 113.10 square units
picture #3 - 380.13 square units
Step-by-step explanation:
picture #1 - area = πr^2 -> π*4^2 = 50.27 square units
picture #2 - area = πr^2 -> π*6^2 = 113.10
picture #3 - area = πr^2 -> π*11^2 = 380.13
what percentage of persons who lose weight are able to maintain it for more than a year?
Answer: 20%
Step-by-step explanation:
Adding and subtracting rational expressions, What is the difference? 2x+5/x^2-3x - 3x+5/x^3-9x - x+1/x^2-9?
After adding and subtracting the rational expressions , the simplified rational expression is 4x - 4/x² - 5/x³ + 9 .
We first simplify each expression inside the parentheses :
that means :
⇒ (2x + 5/x² -3x) = (2x - 3x + 5/x²) = (-x + 5/x²) ;
⇒ (3x + 5/x³ - 9x) = (-6x + 5/x³) ;
⇒ (x + 1/x² - 9) = (-9 + x + 1/x²) ;
Now we substitute these expressions into original equation/expression :
we get ; (-x + 5/x²) - (-6x + 5/x³) - (-9 + x + 1/x²)
Simplifying further ,
we get ;
⇒ -x + 5/x² + 6x - 5/x³ + 9 - x - 1/x² ;
On Combining the like terms, we get ;
⇒ 4x - 4/x² - 5/x³ + 9
Therefore, the simplified rational expression is 4x - 4/x² - 5/x³ + 9.
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The given question is incomplete , the complete question is
Adding and subtracting rational expressions, Simplify the rational expression (2x + 5/x² -3x) - (3x + 5/x³ - 9x) - (x + 1/x² - 9) .
A researcher's results should be considered fraudulent if Group of answer choices animals were used while conducting experiments. the researcher used any form of survey to collect the data. participants were not debriefed after completion of the study. data were changed in order to support the hypothesis
A researcher's results should be considered fraudulent if data were changed in order to support the hypothesis. This is a serious ethical violation and goes against the scientific method. Overall, it is important for researchers to adhere to ethical standards and maintain the integrity of their research.
Explanation:
A researcher's results should be considered fraudulent if data were changed in order to support the hypothesis. This is a serious ethical violation and goes against the scientific method. Additionally, if animals were used while conducting experiments, the researcher should have followed ethical guidelines and obtained proper approval and care for the animals. If a survey was used to collect data, the researcher should have ensured the survey was properly designed and administered to avoid any biases or errors. Finally, if participants were not debriefed after completion of the study, this could be seen as unethical and potentially harmful to their well-being. Overall, it is important for researchers to adhere to ethical standards and maintain the integrity of their research.
The scientific method requires researchers to conduct experiments in a transparent and objective manner. This means that the researcher should design experiments to test hypotheses, collect data systematically, and analyze data objectively. Any manipulation of data to support a hypothesis undermines the scientific method and is considered unethical. Researchers who intentionally manipulate data can be considered fraudulent and may face disciplinary action.
If animals were used in the experiment, the researcher should have followed ethical guidelines and obtained proper approval and care for the animals. Ethical guidelines ensure that animals are treated humanely, minimize their pain and discomfort, and maximize their welfare. Researchers who violate these guidelines can be considered fraudulent and may face disciplinary action.
If a survey was used to collect data, the researcher should have ensured that the survey was properly designed and administered to avoid any biases or errors. Surveys can be susceptible to various sources of error, including sampling errors, measurement errors, and non-response bias. Researchers who fail to address these sources of error can produce biased or invalid results, which can be considered fraudulent.
Finally, if participants were not debriefed after completion of the study, this could be seen as unethical and potentially harmful to their well-being. Debriefing allows participants to understand the purpose of the study, ask questions, and voice any concerns they may have. Participants who are not debriefed may feel deceived or harmed by the study, which can damage their trust in research and researchers.
In summary, researchers must adhere to ethical standards and maintain the integrity of their research. This includes avoiding data manipulation, following ethical guidelines for animal welfare, ensuring that surveys are properly designed and administered, and debriefing participants after completion of the study. Failure to do so can result in fraudulent research and harm to participants, animals, and the scientific community as a whole.
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Yea also all of this
Answer:
yea I cant really do this over a screen
Answer:
16) photo
Step-by-step explanation:
- parallel lines never meet (a, b, c have no points in common)
- perpendicular lines meet other lines at one point, forming two angles of 90 °
a line passes through point (2,-6) and has a slope of -9. write an equation in ax+by=c form for this line. use integers for a,b, and c.
// lol please help :,) //
Answer:
9x +y = 12
Step-by-step explanation:
You want the standard form equation for the line with slope -9 through the point (2, -6).
Point-slope formThe point-slope form equation is a good place to start when given a point and a slope. That equation is ...
y -k = m(x -h) . . . . line with slope m through point (h, k)
y -(-6) = -9(x -2) . . . . line with slope -9 through point (2, -6)
Standard formThis can be rearranged to the desired form:
y +6 = -9x +18 . . . . . . eliminate parentheses
9x +y = 12 . . . . . . . . add 9x -6
The local bike shop sells a bike and accessories package for $266. If the bike is worth 6 times more than the accessories, how much does the bike cost?.
The cost of the bike is $40 and that accessories is $6.65
What are words problem?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Let the cost of the accessories be x, therefore, the cost of the bike is 6x,
According to the equation,
6x × x = 266
6x² = 266
x² = 44.33
x = 6.65
Therefore, the cost of the bike is = 6 × 6.65 = 39.94 ≈ 40
Hence, the cost of the bike is $40 and that accessories is $6.65
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find a positive and negative coterminal angle for 250 degrees
If sin 0 = 1/2, find the degree measure of 0.
Answer:
30°
Step-by-step explanation:
\( \sin \theta = \frac{1}{2} \\ \\ \sin \theta = \sin 30\degree \\ \\ \theta = 30 \degree\)
Each quadrilateral below is a parallelogram . find the missing measures .
Answer:
AD = 8
DC = 15
m∠A = 112°
m∠B = 68°
m∠C = °
Step-by-step explanation:
If we're working with parallelograms, we can assume that each line and it's opposite are perfectly parallel.
To find AD, all you need to do is look to the opposite line, BC. Since This is a parallelogram, AD = BC, so AD is 8.
To find DC, you do the exact same. Find the opposite line that it is parallel to, in this case that's AB, and since AB = DC, you know that DC = 15.
To find m∠A, let's look at m∠D. Since m∠D = is 68°, We can use that knowledge to find m∠A. Since the two angles are right beside each other on the same line, together they would equal 180° if you added them up. But since you don't know what m∠A is, you just have to subtract 68 from 180.
180 - 68 = 112.
To find m∠B, We simply look back to m∠D. Since m∠B is directly opposite to m∠D, That means they have the same value, 68°.
And finally, to find m∠C, we do the same thing we did to find m∠B. m∠C is directly across from m∠A - we have already found m∠A, and we know that it is 112°. Therefore, m∠C is 112° as well.
please someone answer no trolls please this is very serious will give brainliest
Answer:
Required equation of line in point-slope form is:
\(y-5 = -\frac{3}{5}(x+5)\)
Step-by-step explanation:
Given equation of line is:
\(y = \frac{5}{3}x+2\)
The slope-intercept form of line is:
\(y = mx+b\)
Comparing both we get
m = 5/3
We have to find the equation of a line that is perpendicular to given line and passes though (-5,5)
The product of slopes of two perpendicular lines is -1
Let m1 be the slope of line perpendicular to given line then
\(m.m_1 = -1\\\frac{5}{3} . m_1 = -1\\m_1 =-\frac{3}{5}\)
Point-slope form is given by:
\(y-y_1 =m_1(x-x_1)\\\)
Putting m = -3/5 and (x1,y1) = (-5,5)
\(y-5 =-\frac{3}{5}(x-(-5))\\y-5 = -\frac{3}{5}(x+5)\)
Hence,
Required equation of line in point-slope form is:
\(y-5 = -\frac{3}{5}(x+5)\)
can someone help me really quick
The addition equation to represent the Jackson's net change in money is x + (-y) = 4.63
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
It is given that Jackson receives 4.63 as his change at the grocery store. He places it into a charity donation jar at the register.
Here we need to Write an addition equation to represent Jackson's net change in money.
Given that :
The change received is 4.63
The Net change in money;
Let initial amount before purchase is x
The Cost of item purchased = y (negative as it is incurred)
The Net change in money;
Initial amount + cost of item purchased = change received
x + (-y) = 4.63
Hence, addition equation to represent the Jackson's net change in money is x + (-y) = 4.63
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x+3y = 2
4x−3y = 23
What would be the value of "X"? Please include an explanation, I got 7, but it marked it incorrect.
Answer:
The value of "x" is 5.
Step-by-step explanation:
In order to solve this system of equations, we first have to take the first equation and use it to represent "y" in terms of "x". We do that in the following way...
\(x + 3y = 2\\3y = 2 - x\\y = \frac{2}{3} - \frac{x}{3}\)
Now, we need to take the second equation and substitute "y" for the equivalent value in terms of "x". After doing this we will get the following equation, which we can solve to get the value of "x".
\(4x - 3y = 23\\4x-3(\frac{2}{3} - \frac{x}{3}) = 23\\4x - 2 + x = 23\\5x - 2= 23\\5x = 25\\x = 5\)
Therefore, the value of "x" is 5.
The value of "x" would be equal to 5.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We are given equation are;
x+3y = 2
4x−3y = 23
In order to solve this system of equations, we have to take the first equation and use it to represent "y" in terms of "x".
x+3y = 2
x = 2 -3y
Thus,
4x−3y = 23
4(2 -3y) −3y = 23
8 - 12y - 3y = 23
8 - 15y = 23
15y = -23 + 8
15y = - 15
y = -1
Now, we need to take the second equation and substitute "y" for the equivalent value in terms of x.
x+3y = 2
x= 2 - 3y
x = 2 + 3
x =5
Therefore, the value of "x" is 5.
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Use the function to answer the questions. (x) = log, (x + 2) - 6 What is the domain of the function? O(-00.-2) (2.00) O(-00,00) O(-2.00 What is the range? O(6.00) O 0,00 (-0,00) O(-00.-6) At the x-int
In the first paragraph, we summarize the answer by stating that the domain of the function is (-2, ∞), and the range is (-∞, -6].
To find the domain of the function, we need to determine the values of x for which the function is defined. In this case, the function involves a logarithm with the argument (x + 2). For the logarithm to be defined, the argument must be greater than zero. So we set (x + 2) > 0 and solve for x. Subtracting 2 from both sides gives x > -2. Therefore, the domain of the function is (-2, ∞), indicating that the function is defined for all real numbers greater than -2.
Next, to find the range, we consider the output values of the function. Since the logarithm of a positive number is always negative, the range of the function is all real numbers less than or equal to -6. Therefore, the range of the function is (-∞, -6].
In summary, the domain of the function is (-2, ∞) and the range is (-∞, -6].
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If five chocolate bars cost £3.25, work out the cost of three.
Answer:
Three chocolate bars will cost £1.95
Step-by-step explanation:
I divided £3.25 by 5, this told me they cost £0.65 each so i used that and multiplied it by 3 to get my answer £1.95
Helppppp !!!!
Which of the graphs below shows the solution set of [2,7]
Answer:
B
Step-by-step explanation:
[] means the endpoints are inclusive. Therefore [2,7] is equivalent to 2 <= x <= 7. So [2,7] represents graph B.
Leroy made a scale drawing of a neighborhood park. The scale of the drawing was 1 centimeter: 4 meters. In the drawing, the volleyball court is 4 centimeters long. What is the length of the actual volleyball court?
Answer: 16 meters
Step-by-step explanation:
1 cm 4cm
-------- = ---------
4m 16m
would it be a , b , c , d ?
Answer: A) -2m^3-m^2+4m+2
Someone pls help me with this I will make you brain
Answer:
f(2) = 2
f(3) = -9
so the value of f(2) is larger than f(3) is your answer
Quick!!!! Homework Due today
Factor completely: ax2 - 3ax - 54a=?
Answer:
For y=Ax? +BX+ +C, a. find y' f'(x) = 3* Ax2+2*Bx+0 f(x) = 3 Ax2+2Bx b. find the value(s) of x so that y'=l. f(0) = 3A(0)2+2B(0) f(0) = 0 c. find y" f''(x) = 2*3Ax+3B(1) f'(x) = 6Ax+3B
Step-by-step explanation:
The sun of two numbers is 10. The difference between the two numbers is 4.
Answer:
7 and 3
Step-by-step explanation:
The perimeter of a regular 4-sided polygon (square) is 48 units and the length of each side is x +1 units. What is the value of x
Answer:
x=11
Step-by-step explanation:
48-4=44
44/4=11
x=11
11+1=12
12•4= 48
Perimeter of a square = 4s
Side of the square = x + 1
4s = 4 (x + 1) = 48
4x + 4 = 48
4x = 44
x = 44/4
x = 11.
Hope it helps!
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
Which equation is equivalent to −5(4x+2+3x) = 6?
a.)-45x = 6
b.)-35x = -20
c.)-35x = 16
d.)-17x = 4
Lily sold 18 items at the street fair. she sold bracelets for $6 each and necklaces for $5 each for a total of $101. which system of equations can be used to find b, the number of bracelets she sold, and n, the number of necklaces she sold? b n = 101 6b 5n = 18 b n = 101 5b 6n = 18 b n = 18 6b 5n = 101 b n = 18 5b 6n = 101
Answer:
\(b + n = 18\)
\(6b + 5n = 101\)