how many unique triangles can be formed that would have a 3 inch side, 4 inch side, and 8 inch side?
If the 3 sides are given, then we can create only one unique triangle.
How many unique triangles can be formed?Here we want to see how many unique triangles can be formed with the given side lengths:
3 inch4 inch8 inch.Notice that the 3 sides of the triangle are given. Then the triangle is completely defined, (remember the side-side-side criteria)
That is enough to conclude that only one unique triangle can be made with the given side lengths (though that triangle could be translated or rotated to get similar triangles).
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li believes that the graph shows a direct variation why is li corect
Answer:
b. or 2. When the x-value is 0, the y-value is 1.
Step-by-step explanation:
bc im now big brain ...... and bc i said so .-. sowy if its wrong tho
in a right triangle ABCD prove that angle abc is equal to angle CAD
Three students that share a townhouse find that their electric bill for October is $2.23 less than the September bill. The
total of both bills is $292.43, and each bill is split evenly among the roommates. How much did each owe in September?
Answer:
$47.48
Step-by-step explanation:
Let x = the amount owed Sept.
x + x - 2.23 = 292.43 Combine like terms
2x -2.23 = 292.43 Add 2.23 to both sides
2x - 2.23 + 2.23 = 292.43 + 2.23
2x = 294.66 Divide both sides by 2
\(\frac{2x}{2}\) = \(\frac{294.66}{2}\)
x = 147.33 this is the bill for September
Oct. 147.33 -2.23 = 145.10 This is the Bill for Oct.
Total:
147.33 + 145.10 = 292.43
292.43 ÷ 3 = 97.48 This is what each will owe rounded to the nearest penny.
what is the correct evaluation of 15-3x, when x is equal to -2?
-15
21
15
-21
Answer:
Step-by-step explanation:
15-3x
15-3(-2)
15+6
21
Answer:
21 is the correct answer
2. The population of a town was 7,250 in 2014
and 7,375 in 2015. What was the percent
increase from 2014 to 2015 to the nearest
tenth of a percent?
A) 1.5%
B) 1.6%
C) 1.7%
D) 1.8%
E) 2.0%
E
The percentage change of the population is P = 1.7 %
Given data ,
To calculate the percent increase from 2014 to 2015, we need to find the difference between the two population values, divide it by the initial value, and then multiply by 100 to get the percentage.
Population increase = 7,375 - 7,250 = 125
Percent increase = (Population increase / Initial population) * 100
Percent increase = (125 / 7,250) * 100 ≈ 1.7241
Rounding to the nearest tenth of a percent, the percent increase is approximately 1.7%.
Hence , the percentage change is P = 1.7 %
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16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
Question is attached.
Step by step explanation only!
Answer:
Attached is your answer.
Step-by-step explanation:
hence Proved.Hope it helps you!!
LHS
\(\\ \sf\longmapsto \dfrac{cos(90-\Theta)}{sin\Theta}+\dfrac{sin\Theta}{cos(90-\Theta)}\)
\(\boxed{\sf cos(90-A)=sinA}\)
\(\\ \sf\longmapsto \dfrac{sin\Theta}{sin\Theta}+\dfrac{sin\Theta}{sin\Theta}\)
\(\\ \sf\longmapsto 1+1\)
\(\\ \sf\longmapsto 2\)
Hence proved
What is the third quartile of the following data set?
20, 21, 24, 25, 28, 29, 35, 36, 37, 43, 44
Answer:
37
Step-by-step explanation:
Before we find quartile, we have to arrange the data set in order first from least to greatest which this problem has already arranged the data for us.
Next, proceed with the calculation. The formula for finding position of quartile is:
\(\displaystyle{Q_r = \dfrac{r(N+1)}{4}}\)
Where \(\displaystyle{Q_r}\) means the rth quartile, N means number of data set. Since we want to find the third quartile, substitute r = 3 and there are 11 data so substitute N = 11:
\(\displaystyle{Q_3 = \dfrac{3(11+1)}{4}}\\\\\displaystyle{Q_3 = \dfrac{3(12)}{4}}\\\\\displaystyle{Q_3 = 3\cdot 3}\\\\\displaystyle{Q_3 = 9}\)
So the position of third quartile is at 9th position which is 37.
Henceforth, the third quartile is 37.
Answer:
37.
Step-by-step explanation:
The data is in ascending order, which is what we need to get the answer.
As there are 11 numbers the 9th number is the upper(third) quartile.
The median ( middle) number is 29 and the upper quartile is the middle number of the 5 numbers to the right of the median.
It is 37.
PLEASE HELP WILL GIVE BRAINLIEST
WHAT IS DIVIDED BY 196
Answer:
1, 2, 4, 7, 14, 28, 49, 98, and 196.
Step-by-step explanation:
find the slope of the line that passes through the points A(-6,2) and B(5,-1).
A 3/11
B -3/11
C -1
D -11/3
Answer:
\(\boxed{\sf{m=-\dfrac{3}{11} }}\)
Step-by-step explanation:
You simply need to use a slope formula that passes through the points in order to solve this problem.
Slope:
\(\sf{\dfrac{Y_2-Y_1}{X_2-X_1}=\dfrac{RISE}{RUN} }\)
y2=(-1)
y1=2
x2=5
x1=(-6)
Rewrite the problem down.
\(\sf{\dfrac{-1-2}{5-(-6)}=\dfrac{-1-2}{5+6}=\dfrac{-3}{11}=\boxed{\sf{-\dfrac{3}{11} }}}\)
-3/11
Therefore, the slope is -3/11, which is our answer.
I hope this helps you! Let me know if my answer is wrong or not.
One positive number is 5 more than twice another. If their product is 1827, find the numbers.
smaller number =
larger number =
9514 1404 393
Answer:
smaller: 29larger: 63Step-by-step explanation:
If we let x and y represent "one number" and "another", respectively, then the given relations are ...
x = 5 +2y
xy = 1827
Substituting for x gives a quadratic in y:
(5 +2y)(y) = 1827
2y^2 +5y -1827 = 0 . . . . . written in standard form
We can use the quadratic formula to find the positive value of y that satisfies this:
y = (-5 +√(5² -4(2)(-1827)))/(2(2)) = (-5 +√14641)/4 = 116/4 = 29
x = 5 +2(29) = 63 . . . . using the above expression for x
The smaller number is 29; the larger number is 63.
HELP ME please. i dont understand this.
Answer:
Step-by-step explanation:
Perimeter add all the sides.
so let's walk around and combine like terms:
starting on the bottom moving to the left.
3x^2 + x^2= 4x^2 (there are no other squared terms)
back to the bottom moving left again:
-11x-3x+3x+x = -10x (-3x + 3x =0)
so -11x + x = -10x
now add all of the constants
-1 + 2 = 1
so your answer is
4x^2 -10x + 1
PLEASE HELP ASAP !
Which statement about the sequence 3, 7, 11, 15, 19, ... is true?
A) It is arithmetic
B) It is geometric
C)It is neither arithmetic nor geometric
Answer:
arithmetic
fhhfhdhdhdhdhfjdbdhfhfhfhfhfhfhfhdh wrote random stuff to sent answer is arithmetic
Find the LCM of 18, 54, and 63.
Answer:
378
Step-by-step explanation:
Start with prime factoriazation
18 = 2 * 3 * 3
54 = 2 * 3 * 3* 3
63 = 3 * 3 * 7
2 * 3 * 3 * 3 * 7 = 378
I have a question, what is 71.5 - 28.742
71.5 - 28.742 = 42.758
Answer: 42.758
Step-by-step explanation:
A bicyclist ride 1/4 miles 1/60 hours
determine the values of the missing entries. reduce all fractions to the lowest terms
9x-6y= 18
By evaluating the given linear relation, we conclude that the complete table is:
x: 2, 0, 1, 14/3
y: 0, -3, -3/2, 4
How to determine the values of the missing entries?Here we have the linear relation:
9x - 6y = 18
And we want to complete the given table, to do so, we just need to evaluate the relation in the given values and with that we can find the missing ones.
For example, the first pair has y = 0.
Evaluating that we get:
9x - 6*0 = 18
9x = 18
x = 18/9 = 2
Then we have the pair (2, 0).
The second has x = 0, replacing that we get:
9*0 - 6*y = 18
y = 18/-6 = -3
So we have the pair (0, -3)
The third has x = 1, replacing that:
9*1 - 6y = 18
-6y = 18 - 9 = 9
y = 9/-6 = -3/2
So we have the pair (1, -3/2)
The last value on the table is y = 4, replacing that:
9x - 6*4 = 18
9x - 24 = 18
9x = 18 + 24 = 42
x = 42/9 = 14/3
Then the complete table is:
x: 2, 0, 1, 14/3
y: 0, -3, -3/2, 4
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Harold adopted a St. Bernard. He
read that St. Bernards can reach up to 90 kilograms in weight. How many pounds is 90 kilograms?
Answer:
Step-by-step explanation:
The answer is 198.416
Which value of x in the equation 18x + 5 - 3 = 65 makes the equation true
Answer:
the value of x that makes the equation true is x = 3.5.
Step-by-step explanation:
To find the value of x that makes the equation 18x + 5 - 3 = 65 true, we need to simplify the equation and solve for x.
Starting with the equation:
18x + 5 - 3 = 65
First, combine like terms:
18x + 2 = 65
Next, isolate the term with x by subtracting 2 from both sides:
18x = 65 - 2
18x = 63
Finally, divide both sides of the equation by 18 to solve for x:
x = 63 / 18
x = 3.5
Therefore, the value of x that makes the equation true is x = 3.5.
The answer is:
x = 7/2 (3.5 in decimal form)Steps & work :
First, I focus only on the left side.
Combine like terms:
\(\sf{18x+5-3=65}\)
\(\sf{18x+2=65}\)
Subtract 2 from each side:
\(\sf{18x=63}\)
Now, divide each side by 18:
\(\sf{x=\dfrac{63}{18}\)
Clearly, this fraction is not in its simplest terms, and we can divide the top and bottom by 9:
\(\sf{x=\dfrac{7}{2}}\)
\(\therefore\:\:\:\:\:\:\stackrel{\bf{answer}}{\boxed{\boxed{\tt{x=\frac{7}{2}}}}}}\)
Question 2: Which statements about functions g(xx² - 4x +3 and f(x) = x² - 4x are true? Select all
that apply.
The functions g(x) = x² - 4x + 3 and f(x) = x² - 4x are:
The functions have the same range.
The functions have the same domain.
The functions have the same x-intercepts.
Let's analyze the given functions g(x) = x² - 4x + 3 and f(x) = x² - 4x and determine which statements about them are true.
Here are the options:
The functions have the same graph.
The functions have the same range.
The functions have the same domain.
The functions have the same vertex.
The functions have the same y-intercept.
The functions have the same x-intercepts.
The functions have the same graph:
This statement is false. While both functions are quadratic functions, their additional terms make them different. g(x) has an additional constant term (+3) compared to f(x).
Their graphs will be different, with g(x) being shifted upward by 3 units compared to f(x).
The functions have the same range:
This statement is true.
Both functions are quadratic functions, and their range will be the same. The range of a quadratic function is either all real numbers (if the parabola opens upward) or the set of real numbers greater than or equal to (or less than or equal to) the vertex of the parabola.
The functions have the same domain:
This statement is true.
The domain of both functions, unless restricted by any other factors, is all real numbers.
Quadratic functions have a domain of (-∞, ∞).
The functions have the same vertex:
This statement is false.
The vertex of a quadratic function is determined by the values of "a," "b," and "c" in the general form of the quadratic function (ax^2 + bx + c).
Since g(x) has an additional constant term, its vertex will be different from the vertex of f(x).
The functions have the same y-intercept:
This statement is false.
The y-intercept of a function is the value of y when x = 0.
For f(x), when x = 0, we have f(0) = (0)² - 4(0) = 0.
For g(x), when x = 0, we have g(0) = (0)² - 4(0) + 3
= 3.
Their y-intercepts are different.
The functions have the same x-intercepts:
This statement is true.
To find the x-intercepts of both functions, we set y (or f(x) and g(x)) equal to zero and solve for x.
The quadratic equation x² - 4x + 3 = 0 can be factored as (x - 1)(x - 3) = 0, giving x = 1 and x = 3 as the x-intercepts.
Both functions have the same x-intercepts.
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Which graph of f(X)=5(2)x
Answer:
Step-by-step explanation:
The discussion in this lesson offers two tips for saving money. Write 1-2 paragraphs that describe the following: 1. state the two money saving tips 2. tell why these tips work
The first tip is to travel by public transport instead of using your own vehicle. The second tip would be to stop smoking and drinking it is a total waste of money and health.
What is saving?Saving is the method of saving your money for the future. We can not predict the future if anything bad happens and we need a large amount of money these savings will help us.
The first tip is to travel by public transport instead of using your own vehicle. The second tip would be to stop smoking and drinking it is a total waste of money and health.
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A polynomial can have a variable under a square root.
True
False
Answer:
it's could be False i'm not sure
63 ones 21 hundreths 4 thousands in decimal
The decimal representation of the given sequence is 4,063.21.
The given sequence can be interpreted as follows: "63 ones, 21 hundredths, 4 thousand." To convert this sequence into decimal form, we need to understand the place value of each digit.
Starting from the left, we have "63 ones." This means we have 63 units, which can be represented as 63.
Next, we have "21 hundredths." Since there are two digits after the decimal point, the number becomes 0.21.
Finally, we have "4 thousand." Considering the place value, 4 thousand would be written as 4,000.
Putting it all together, we have 63 + 0.21 + 4,000, which equals 4,063.21. Therefore, the decimal representation of the given sequence is 4,063.21.
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7 1/8 + 7 1/13= Give my answer as a mixed number
Answer:
[see below]
Step-by-step explanation:
\(7(1/8)+7(1/13)\\\\\text{Add Whole Numbers: }\\\\7 + 7 = 14\\\\\text {Add fractions: }\\\\ (1/8)+(1/13)\\\\LCM (8, 13): 104\\\\(13/104)+(8/104)\\\\(21/104)\\\\\\\text{Combine: }\\\\14 + (21/104)\\\\\boxed{14\frac{21}{104}}\)
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
\(\boxed {14\frac{35}{104}}\)
Step 1 : Solving the fraction parts.
\(\frac{71}{8} + \frac{71}{13} = ?\)
Find the LCD of 71/8 and 71/13 and rewrite to solve with the equivalent fractions.
LCD = 104
\(\frac{923}{104} + \frac{568}{104} = \frac{1491}{104}\)
Simplifying the fraction part, 1491/104,
\(\frac{1491}{104} = 14\frac{35}{104}\)
____________________
Solution by Formulas
____________________
Using the given fractions
\(\frac{71}{8} + \frac{71}{13}\)
Applying the fractions formula for addition,
\(= \frac{(71 . 13) + ( 71 . 8 ) }{8 . 13}\)
\(= \frac{923 . 568}{104}\)
\(= \frac{1491}{104}\)
Simplifying 1491/104, the answer is:
\(\boxed {14\frac{35}{104}}\)
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
2 Blood sugar levels are normally distributed with a mean of 100 milligrams per deciliter and a standard deviation of 10 milligrams per deciliter. Sam's blood sugar is 85 milligrams per deciliter. What is his Z-score? * (2 Points) O 1.5 0 -1.5 O 15 010
drag tiles to the boxes to form correct pairs. match the cube roots and square roots with their values.
A 48-ounce bottle of soda costs $1.79. What is the unit price?
a. $.04
b. $.06
c. $.40
d. $.53
Answer:
a. $.04
Step-by-step explanation:
$1.79/48 = 0.037 = 0.04
please help me asap
Answer:
5: 44 6: 1.762 x 10^3
Step-by-step explanation:
5:
64 / (4x4) x (3x3) + (2x2x2)
64 / 16 x 9 + 8
4 x 9 + 8
36 + 8
44