to find the area of triangle abc, Jen first drew a square around the figure. two sides of the square passed through the points B and C. the other two sides met at point A. draw Jens square, and explain how you can use it to find the area of triangle ABC
Answers
Answer:
s²/2
Step-by-step explanation:
Area of square = 2 triangles
Find the area of the square using s²
For area of the triangle, divide by 2
The area of Jens square and the area of the triangle is A = ( 1/2 )s²
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of sides of the triangle are
AB = AC = s
From the figure , we can see that
Now , area of the triangle = ( 1/2 ) x Length x Base
On simplifying , we get
A = ( 1/2 )s²
Hence , the area of the triangle is A = ( 1/2 )s²
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Related Questions
What is the solution for the equation
5/3b^3-2b^2-5=2/b^3-2?
b= -4 and b=0
b= -4
b= 0 and b=4
b= 4
Answers
Answer:
b=0.46005 approx
Step-by-step explanation:
ugh its to messy just solve it like a quadratic
What value of m makes the system of linear equations mx − y + 3 = 0, (2m − 1)x − y + 4 = 0 have no solution?
Answers
Answer:
m ≠1 ( all m in R except 1 )
Step-by-step explanation:
hello :
mx − y + 3 = 0.....(*)
(2m − 1)x − y + 4 = 0 ....(**)
multiply (*) by : -1 you have : -mx+y-3=0 ....(***)
(2m − 1)x − y + 4 = 0 ....(**)
add(***) and(**) : -mx+ (2m − 1)x+1 =0
(2m-m-1)x+1=0
(m-1)x = -1
this system have no solution if : m-1≠0 means : m ≠1
what is the first 4 digits of pi
Answers
Also written as 22/7 as a fraction
Hey!!!
Here's your answer:
Actually the value of pi is 22/7 and when we divide 22 by 7 ,it equals to 3.142857143.
So,the first 4 digits of pie is 3.142
There is one miracle about pi.
And that is
first digit of pie(3)
= The third month is march.
Albert Einstein was born in march14 and Stephen Hawking was dead in march 14.
Sorry,if u did not understand what I mean to say...
I am not good at giving explanations.....:(
The table below displays the purchases that Graphic DesignWorks made from
a manufacturer this year for hats. If Graphic DesignWorks uses LIFO, and it
has 100 hats left in its inventory, what is the value of its current stock?
Month of Number
Purchase of hats
June 50
July
75
August 100
September 75
Price
per hat
$12
$14
$10
$13
O A. $1225
O B. $1300
O c. $1200
O D. $1150
Answers
Answer:
B. $1300
Step-by-step explanation:
The 100 hats remaining in inventory are the first 100 hats purchased in the period, so are 50 hats purchased for $12 each in June, and 50 hats purchased for $14 each in July. The value of this inventory is ...
50($12) +50($14) = $600 +700 = $1300
Answer:
1225
Step-by-step explanation
A business has $15,000 to spend on airline tickets to travel to a conference. It wants 27 of its employees to attend. The business wants to buy as many business-class seats as possible. The business-class seats cost $700. The economy-class seats cost $375. Create a system of equations that models how many of each type of ticket the business should purchase.
700x + 375y = 27
x + y = 15,000
x + 375y = 15,000
700x + y = 27
700x + y = 15,000
x + 375y = 27
700x + 375y = 15,000
x + y = 27
Answers
Answer:
Here is the correct system of equations:
700x + 375y = 15,000
x + y = 27
The system of equations that models how many of each type of ticket the business should purchase is 700x + 375y = 15,000; x + y = 27. option D
How to write system of equation?
Let
x = the number of business class.
y = the number of economy
x + y = 27 (1)
700x + 375y = 15000 (2)
Multiply (1) by 700
700(x + y) = 700(27)
700x + 700y = 18900 (3)
Subtract (2) from (3)
700x + 375y = 15000 (2)
700x + 700y = 18900 (3)
-325y = -3900
Divide both sides by -325
y = -3900/-325
y = 12
Recall
x + y = 27
x + 12 = 27
x = 27 - 12
x = 15
Therefore, the business should purchase 15 business class and 12 economy class.
Complete question:
A business has $15,000 to spend on airline tickets to travel to a conference. It wants 27 of its employees to attend. The business wants to buy as many business-class seats as possible. The business-class seats cost $700. The economy-class seats cost $375. How many of each type of ticket should the business purchase?. A) 11 business class and 16 economy class. B) 12 business class and 15 economy class. C) 15 business class and 12 economy class. D) 16 business class and 11 economy class
Evaluate the expression c=-2.7
c+18 =?
Answers
Answer:
15.3
Step-by-step explanation:
-2.7+18=15.3
Answer:
Step-by-step explanation:
When c=-2.7, we substitute the value of c into the expression so we can add
c+18=-2.7+18=18-2.7=15.3
e^x=59 round to the nearest ten-thousandth
Answers
First you must ln both sides of the equation.
ln(e^x) = ln(59)
ln of e always cancels out, so you are just left with x
x = ln(59)
Put this in your calculator!
x = 4.0775 is your answer !
Boxes of Candy (x)
Pieces of Candy )
10 150
9 135
2 30
6 90
3 45
Find the constant of proportionality for the table and write in the form Y=kx
A) y= 1/15x
B) y=10x
C) y = 15x
D) y = 150x
Answers
What is the relationship between a
square root, exponent, and a
logarithm?
Answers
Joe is making lemonade by adding 6 5/8 cups of water. It is too strong, so he adds 1 5/8 cups more. How much water does Joe use?
Answers
Answer:
8 1/4 or 8 2/8
Step-by-step explanation:
6+1= 7
5/8+5/8= 10/8 or 1 2/8
1 2/8 + 7= 8 2/8
Simplify
8 1/4 cups
In making his lemonade, Joe uses a total of 8 1/4 cups of water. He initially adds 6 5/8 cups, then adds an additional 1 5/8 cups when the lemonade is too strong.
Explanation:Joe is making lemonade and initially adds 6 5/8 cups of water. When he finds it too strong, he adds another 1 5/8 cups of water. To calculate the total amount of water Joe uses, we add the two quantities of water together:
First, add the whole numbers: 6 + 1 = 7 cupsNext, add the fractions: 5/8 + 5/8 = 10/8 = 1 2/8 = 1 1/4 cupsAdding these results together, Joe uses a total of 7 cups + 1 1/4 cups = 8 1/4 cups of water in his lemonade.
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PLEASE HELP WITH THIS MATH PROBLEM
Answers
Answer:
3y - 10
———
2
Step-by-step explanation:
Please help this is my math homework
Answers
Answer:
Friend PLEASE UPLOAD THE PICTURE PROPERLY IT IS NOT READABLE
2. A student had taken six tests and received scores of 88, 73, 81, 83, 79, 94. The seventh test
was coming up and the student wants to know:
a. What was needed on the 7th test to have a mean score of 83. Find the 7th test score.
b. Find the median and mode using the 7th test score from part a.
Median
Mode:
Answers
Answer:
a) 83
b) mean and mode are both 83
Step-by-step explanation:
a) mean is the average. so add all the numbers and divide by the number of numbers.
88 + 73 + 81 + 83 + 79 + 94 + T = 83
7
b) median - put the numbers in numerical order, smallest to largest, what is the middle number (4th number) 73, 79, 81, 83, 83, 88, 94
mode - which number shows up most frequently?
HELP ASAP PLEASEEEE
im kinda begging
Answers
Answer:
x = -1
-1 + 6 = 5
Since its a negative, you're actually subtracting it from 6.
When looking at the unit circle, what do you notice about the value of sine and the value of the y coordinate?
a the values are the same
C. the values are opposites
b. the absolute values are different
d. none of the above
Answers
Answer:
a. the values are the same.
Step-by-step explanation:
The sine = y-coordinate / hypotenuse. The unit circle has hypotenuse = 1, so
the sine = y /1 = y.
Final answer:
The value of the sine of an angle on the unit circle is the same as the y-coordinate of the corresponding point on the circle, as the sine function is defined as the ratio of the opposite side to the hypotenuse in a right triangle.
Explanation:
When looking at the unit circle, we can observe that the value of the sine of an angle is indeed the same as the y-coordinate of the point on the unit circle at that angle. In other words, if we take a point on the unit circle at an angle θ from the positive x-axis, its coordinates can be expressed as (cos(θ), sin(θ)). Therefore, the sine of the angle gives us the y-coordinate of the point on the circle. This relationship is a direct consequence of how the trigonometric functions are defined in the context of a right triangle, where the sine of an angle is the length of the side opposite to the angle (y) divided by the hypotenuse (which is 1 for the unit circle).
The flying squirrel of eastern Texas can drop a height of 60 feet. A function that approximates this drop is h=-16t^2+60, where h is the height in feet and t is the time in seconds. About how many seconds does it take for the squirrel to drop 60 feet?
Answers
Answer:
About 1.94 seconds
Step-by-step explanation:
The quadratic equation gives the height of the squirrel from its starting position, which is 60 feet above ground.
The equation is:
[tex]h=-16t^2+60[/tex]
To find time it takes to "drop" 60 feet, means the ground level, where height is equal to 0.
Or, h = 0
We substitute h = 0 into the equation and solve for t:
[tex]h=-16t^2+60\\0=-16t^2+60\\16t^2=60\\t^2=3.75\\t=\sqrt{3.75}\\t=1.94[/tex]
So, it takes the squirrel about 1.94 seconds to drop 60 feet
It takes the squirrel about [tex]\( \boxd{1.94} \)[/tex] seconds to drop 60 feet.
Step 1
Given the equation [tex]\( h = -16t^2 + 60 \)[/tex] where h is the height in feet and t is the time in seconds.
To find the time it takes for the squirrel to drop 60 feet (reaching the ground), we set [tex]\( h = 0 \)[/tex] and solve for t :
[tex]\[ -16t^2 + 60 = 0 \][/tex]
Add [tex]\( 16t^2 \)[/tex] to both sides:
[tex]\[ 16t^2 = 60 \][/tex]
Step 2
Divide both sides by 16:
[tex]\[ t^2 = \frac{60}{16} \]\[ t^2 = 3.75 \][/tex]
Take the square root of both sides:
[tex]\[ t = \sqrt{3.75} \]\[ t \approx 1.94 \][/tex]
So, it takes the squirrel about [tex]\( \boxd{1.94} \)[/tex] seconds to drop 60 feet.
1. What is the slope of the line that passes through (-2, 6) and (8, 1)?
a. -1/2
b. 1/2
c. -2
d. 2
Answers
Answer:
- 1/2
Step-by-step explanation:
[tex]slope = \frac{1 - 6}{8 - ( - 2)} = \frac{ - 5}{8 + 2} = \frac{ - 5}{10} = - \frac{1}{2} \\ [/tex]
hope this helps:)
The sum of two numbers is 98. One number is 76 less than the other.
Answers
Answer:
Step-by-step explanation:
1. n + y = 98
2. n = 76 - t
Answer:
11 and 87
Step-by-step explanation:
Let's create an equation to solve this. (I know that it is just subtraction, but equations are great ways to understand concepts.)
We can represent each number as "n"
In that case, we have:
n + (n - 76) = 98
Grouping n's:
2n - 76 = 98.
Adding 76 to both sides:
2n = 174
Dividing by 2:
87.
Plug-and-chug:
87 + (87 - 76) = 98
Thus, our final answer is that one number is 11, the other 87.
Lin wants to know how many games teenagers in the United States have on their phones.
What is the population for Lin's question?
Answers
The population for Lin's question is all teenagers in the United States who use smartphones. Selection bias and the method of surveying can cause data variations, and the sample size must be large enough and representative to obtain accurate findings.
Explanation:The population for Lin's question regarding how many games teenagers in the United States have on their phones is all teenagers in the United States who own and use smartphones. It is implied that Lin is interested in the averages or trends among this specific age group with regard to digital game ownership.
When considering data collection, several factors can cause variations in the results. For instance, adolescents' access to different technologies, social and economic factors, and varying interests can all influence the number of games they have on their phones. Additionally, methods of surveying can affect accuracy, such as if the respondents are primarily contacted by landline or mobile phone, reflecting different demographic characteristics. The trend towards mobile phone usage as opposed to landlines, selection bias, and the changing communication preferences of younger generations all emphasize the need for researchers to employ diverse methods in collecting data to ensure representativeness of the surveyed population. Moreover, the sample size and how well it represents the overall population is critical in obtaining reliable results.
The sufficiency of the sample size depends on the population being studied. If the sample consists solely of students from one school, it may not be representative of the wider population of teenagers in the United States. However, when the population is as large and diverse as school-aged children and young adults across the entire United States, a much larger and varied sample would be needed to appropriately reflect the population and offer meaningful conclusions.
Ten less than 40% of a number is -4. Please just write out equation >~
Answers
Answer:
Number is "n"
(.40 * n) -10 = -4
Step-by-step explanation:
The phrase 'ten less than 40% of a number is -4' can be translated into a mathematical equation as 0.4x - 10 = -4. By using the rules of algebra, we can simplify this equation to find that the unknown number x equals 15.
Explanation:The question deals with an equation involving the term 'ten less than 40% of a number'. This phrase can be translated into a mathematical equation as follows: 0.4x - 10 = -4, where x is the unknown number we're trying to find.
Following the rules of algebra, you would want to simplify this equation as much as possible. Let's add 10 to both sides of the equation, which gives us 0.4x = 6. To isolate 'x', we divide both sides of the equation by 0.4, which gives us x = 6 / 0.4. When you perform this division, you find that x = 15.
Thus, the number that 'ten less than 40% of' equals -4 is 15.
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hello could any pls help this is due rnnn
please and thankk youuu
Answers
Answer:
Step-by-step explanation:
C is the answer plz mark as brainliest answer
Write this equation in slope intercept form 3x+2y=4
Answers
To write the equation 3x + 2y = 4 in slope-intercept form, subtract 3x from both sides, then divide each term by 2. The slope-intercept form of the equation is y = (-3/2)x + 2.
Explanation:
To write the equation 3x + 2y = 4 in slope-intercept form, we need to isolate y on one side of the equation.
Step 1: Subtract 3x from both sides to get 2y = -3x + 4.
Step 2: Divide each term by 2 to get y = (-3/2)x + 2.
Therefore, the equation 3x + 2y = 4 in slope-intercept form is y = (-3/2)x + 2.
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Answer:
Step-by-step explanation:
What is the vertex of the quadratic function f(x) = (x – 3)(x - 2)?
Answers
Answer:
The vertex is: [tex](\frac{5}{2},-\frac{1}{4})[/tex]
2x – 8x + 6
What is the answer when factoring this equation
Answers
Pan Bartek kupił 15 sadzonek kwiatów i zapłacił za nie 67,50 zł. Pan Michał kupił 50 sadzonek w tej samej cenie za jedną sztukę.
O ile złotych więcej zapłacił za sadzonki pan Michał niż pan Bartek? Wybierz właściwą odpowiedź spośród podanych.
A. 22,50 zł B. 157,50 zł C. 202,50 zł D. 225 zł
Answers
Answer:
Option D: 225 zł
Step-by-step explanation:
(English question:
Mr. Bartek bought 15 flower seedlings and paid PLN 67.50 for them. Mr. Michał bought 50 cuttings at the same price for one piece.
How much more did Michał pay for seedlings than Mr. Bartek? Choose the right answer from the given ones.
A. 22.50 PLN B. 157.50 PLN C. 202.50 PLN D. 225 PLN)
We can solve this problem using a rule of three:
If Mr. Bartek bought 15 flowers seedlings for 67.5, Mr. Michal that bought 50 flowers seedlings will pay what price (If he pays the same price per unit that Mr. Bartek paid)?
15 seedlings -> PLN 67.5
50 seedlings -> PLN X
15/50 = 67.5/X
X = 50*67.5/15 = 225
The correct option is D: 225 zł
I NEED HELP IMMEDIATELY!!! Allen has four times as many cards as Bob, and Jane has twice as many cards as Allen. Together, Allen and Jane have 468 cards. How many cards do Allen, Jane, and Bob each have?
Answers
Answer:
Allen- 144 cards
Jane- 288 cards
Bob- 36 cards
Step-by-step explanation:
Here's what we know:
a = 4b (Allen has 4 times Bob's cards)
j = 2a (Jane has twice Allen's)
a + j = 432 (Allen and Jane have 432 cards all together)
Start with substituting:
4b + 2a = 432
4b + 2(4b) = 432
Distribute:
4b + 8b = 432
Simplify:
12b = 432
Divide both sides by 12:
b = 36
To find how much Allen has just multiply 36 times 4.
a= 144 cards
To find how much Jane has multiply 144 times 2.
j= 288 cards
Answer:
156
312 and
39
Step-by-step explanation:
Let Allen be A , Jane be J and Bob be B
Allen has 4 times as Bob
So
A = 4B
Jane has twice as Allen
So
J = 2A
Together, Allen and Jane has 468 cards
A + J = 468
Substitute 2A for J in the third equation.
We have
A + J = 468
A + 2A = 468
3A = 468
Divide both sides by 3
3A/3 = 468/3
A = 156
Recall
A = 4B
Therefore
156 = 4B
Divide both sides by 4
156/4 = 4B/4
39 = B
B = 39
Also,
J = 2A
J =2 x 156
J = 312
Allen has 156 cards
Jane has 312 cards and
Bob has 39 cards
If U = 3 inches, V = 5 inches, W = 8 inches, X = 6 inches, Y = 8 inches, and Z = 4 inches, what is the area of the object?
Answers
Answer:
46.5 inches
Step-by-step explanation:
if you plug all the numbers in and then change them into simple shapes, like a square, rectangle, and triangle, you can just add the areas to those shapes and add them together.
The area of the object is: 61.5 Sq.in
What is the Area of the Composite figure?
The formula for area of a rectangle is:
Area = Length * Width
Formula for the Area of a Trapezium is:
Area = ¹/₂ * (sum of parallel sides) * height
Area of composite figure is: (¹/₂ * (W + Y - U) * (V - X - Z)) + [(X - Z) * (Y - U)] + (Y * Z)
Area of composite figure is: (¹/₂ * (8 + 8 - 3) * (5 - (6 - 4)) + [(6 - 4) * (8 - 3)] + (8 * 4)
= 19.5 + 10 + 32
= 61.5 Sq.in
You found a pair of $35 shoes for 25% off! How much of a discount will be taken at the register?
Answers
Answer:
$8.75
Step-by-step explanation:
35 * .25 = $8.75
0.076952 to 3 significant figure
Answers
Answer:0.0770
Step-by-step explanation:
0.076952 the five makes 9 round up.
Since you can't have ten the six increases by 1 so it is
0.077
Then you could add a zero on the end to 0.0770 so it is to 3 sig fig
Answer:
0.0770.
Step-by-step explanation:
That would be rounded to the next 3 digits after the second 0.
So it is 0.0770.
(The 7695 is rounded to 770 because the digit after the 9 is 5, so the 69 is rounded up to 70).
Based on the boxplots, which statement below is true? A) The range of both plots is about the same. B) The means of both plots are approximately equal. C) Plot B contains more data points than Plot A. D) The medians are approximately equal.
Answers
Answer: A. The range of both plots is about the same.
Step-by-step explanation:
The question asks about boxplots but does not provide the actual boxplots to analyze. Nonetheless, the answer describes what each statement means in relation to boxplots. The true statement would depend on graphical interpretation of the provided boxplots.
Explanation:Without actual boxplots, it is not possible to definitively answer this question. However, I can provide you with a brief description of each of the given options.
The range of both plots is about the same: This implies that the lowest and highest values of both data sets are similar.The means of both plots are approximately equal: This suggests that the average values of both data sets are similar.Plot B contains more data points than Plot A: This isn't usually determinable by a boxplot since boxplots show the spread and distribution of data, not the quantity of data points.The medians are approximately equal: This implies that the mid-values of the data sets are similar.In general, to get a correct answer, study the two boxplots together, comparing their ranges, means, and medians.
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