The length of the missing side is equal to 18 inches.
How to calculate the perimeter of this triangle?In Mathematics and Geometry, the perimeter of a triangle can be calculated by using this mathematical equation:
P = a + b + c
Where:
P represents the perimeter of a triangle.a, b, and c represents the side lengths of a triangle.By substituting the given parameters or dimensions into the formula for the perimeter of a triangle, we have the following;
51 = 18 + 15 + x
51 = 33 + x
x = 51 - 33
x = 18 inches.
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Help please!!! 100 points
Answer:
I think the file of the picture is corrupted because it is not loading
Step-by-step explanation:
Answer: A
Step-by-step explanation:
P
E
M
A
S
Please answer with explanation and standard form
Answer:
2x - 7y = -34.
Step-by-step explanation:
As the line we want is perpendicular to y= -7/2 x + 9 it's slope will be
-1 /(-7/2) = 2/7.
Now we find the point of intersection ofn the 2 given lines:
x + y = 10
3x - 4y = -12
Multiply the first equation by -3:
-3x - 3y = -30
Now add this last equation to the second one:
-7y = -42
y = 6
Plug y = 6 into the first equation:
x + 6 = 10
x = 4.
So the point of intersection is (4, 6) and the equation we want passes through this, so using the point-slope form of straight line we have:
y - 6 = 2/7(x - 4)
7y - 42 = 2(x - 4)
7y - 42 = 2x - 8
2x - 7y = -42 + 8
2x - 7y = -34
Answer:
y=(2/7)x+(7/3)
Step-by-step explanation:
y=-7/2(x)+9
y=mx+c
Therefore, slope of line y is -7/2
Because line y perpendicular to the required line
Therefore, slope of the required line is 2/7
x+y=10 ........(1)
3x-4y = -12 ......(2)
(1) x 4:
4x+4y =40 ......(3)
(3) + (2)
4x+4y+3x-4y=28
x=4
by substituting x=4 into (1), we have
y=10-4=6
Therefore, the point that the line intersects is (4, 6)
let y=(2/7)x+c be the required equation
(4, 6):
6=(2/7)4+c
c=21/4
therefore, the required equation is y=(2/7)x+(7/3).
Intelligence Quotient (IQ) scores are often reported to be normally distributed with μ=100.0 and σ=15.0. A random sample of 61 people is taken.What is the probability that the mean IQ score of people in the sample is less than 98? Round your answer to 4 decimal places, if necessary.
To find the probability that the mean IQ score of people in the sample is less than 98, first we need to convert the value into z-score by using the formula:
\(z=\frac{x-\mu}{\sigma}\)Then, when x=98:
\(\begin{gathered} z=\frac{98-100.0}{15.0} \\ z=\frac{-2.0}{15.0} \\ z=-0.1333 \end{gathered}\)By checking in a standard normal table z=-0.1333 has a p-value=0.4471.
Then the probability is 0.4471 that also can be expressed as 44.71%
help with this question
Answer:
A
Step-by-step explanation:
x= -2
Calculate the resolving power of a 4x objective with a numerical aperture of 0.275
The resolving power of a 4x objective with a numerical aperture of 0.275 is approximately 0.57 micrometers.
The resolving power (RP) of an objective lens can be calculated using the formula: RP = λ / (2 * NA), where λ is the wavelength of light and NA is the numerical aperture.
Assuming a typical wavelength of visible light (λ) is 550 nanometers (0.55 micrometers), we substitute the values into the formula: RP = 0.55 / (2 * 0.275).
Performing the calculations, we find: RP ≈ 0.55 / 0.55 = 1.
Therefore, the resolving power of a 4x objective with a numerical aperture of 0.275 is approximately 0.57 micrometers.
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DETAILS PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
g(x) = e^8Xcosh(10x)
To find the critical numbers of the function provided , we need to determine the values of x at which the derivative of g(x) equals zero or does not exist.
First, let's find the derivative of g(x). Applying the product rule and chain rule, we have:
\(g'(x) = 8e^{(8x)cosh(10x) + e^(8x)(10sinh(10x))}\\ = e^{(8x)(8cosh(10x) + 10sinh(10x))\)
Now, to find the critical numbers, we set g'(x) equal to zero and solve for x:
\(e^{(8x)(8cosh(10x) + 10sinh(10x)) = 0\)
8cosh(10x) + 10sinh(10x) = 0
\(8((e^{(10x) + e^(-10x))/2) + 10((e^(10x) - e^(-10x))/2) = 0\)
on simplifying and combining like terms , will get:
\(9e^{(10x) }+ e^{(-10x) = 0\)
Dividing both sides by \(e^{(-10x)\), we obtain:
\(9e^{(20x)\) = -1
Taking the natural logarithm of both sides, we have:
ln(9) + 20x = ln(-1)
However, ln(-1) is undefined since the natural logarithm is only defined for positive values. Therefore, there are no critical numbers for the function g(x) = \(e^{8x)}cosh(10x).\)
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alison has five different hats, six different bracelets, and seven cats. she wants to take a selfie with a hat, a bracelet, and two cats. how many different selfies can she take?
Answer:
The answer is 60
Step-by-step explanation:
2x5x6
rearrange by the commutative property
(2x5)x6
Calculate
10x6
calculate the product or quotient to 60
hence the answer is 60
Hoped this helped:D
Alison has five different hats, six different bracelets, and seven cats. She wants to take a selfie with a hat, a bracelet, and two cats. So she can take 630 different selfies.
She wants to take selfies with what she has, and the question asks how many different selfies can she take.
Let's solve the question below:
The total number of selfies Alison can take is 5 × 6 × ( ₇C₂ )
As Alison wants to take a selfie with a hat, a bracelet, and two cats, there are 5 hats and 6 bracelets she can select from, and she needs to select 2 cats out of 7 available cats.
We can use the combination formula to calculate the total number of ways:
₇C₂ = \((7 * 6)/2\)
= 21
Hence, Alison can take \(5 * 6 * 21\) = 630 different selfies with a hat, a bracelet, and two cats.
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please answer no links pls
Answer:
i cant read it..
Step-by-step explanation:
If 9:3 is equal to 3:1 and then what is 12:4 equal to ?
Answer:
36:12 or 3:1
Step-by-step explanation:
12:4= 36: 12
or 12:4 simplify= 3:1
hope it helps
Jamir buys a Snickers bar that weighs 16.5 ounces. He takes 6 bites. How many ounces are in each bite?
Question Blank
Answer:
16.5/6 is 2.75 soooo 2.75 ounces every bite!
Step-by-step explanation:
Answer:
2.75 ounces
Step-by-step explanation:
divide 16.5 by 6
=2.75
PLEASE HELP
A science teacher has 4 bottles of vinegar. She uses 3/4 of a bottle for an experiment. Then she uses another 2 2/3 bottles for a second experiment. How many bottles of vinegar does the teacher have left after both experiments? Move numbers and symbols to the blanks to create an equation that shows the answer. If there is no whole number in the answer, put a () in the first box after the equals sign.
The bottles of vinegar the teacher have left after both experiments is 7/12
How many bottles of vinegar does the teacher have left after both experiments?From the question, we have the following parameters that can be used in our computation:
Experiment = 3/4
Second experiment = 2 2/3
Total = 4
Using the above as a guide, we have the following:
Remaining bottle = 4 - 3/4 - 2 2/3
Evaluate
Remaining bottle = 7/12
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please help meeeee and show your work :)
Answer:yes because the slopes od the lines are the same but the y intercepts are differen.
Step-by-step explanation:
when you connect (5,8) and (13,24) then (3,3) and (7,11) they insect what the the lines. so C yes because the slopes of the lines are the same but y intercepts are different
marcos is planning to travel from phoenix to flagstaff. let t represent the number of hours since marcos left phoenix and let d represent the number of miles marcos has traveled from phoenix.
In this scenario, Marcos is planning to travel from Phoenix to Flagstaff, and we are using variables to represent different aspects of his journey.
The variable t represents the number of hours since Marcos left Phoenix, which serves as a measure of time elapsed since the start of the journey. It allows us to track the progress of Marcos over time and analyze various time-related aspects such as the duration of the journey or the rate at which he is traveling. On the other hand, the variable d represents the number of miles Marcos has traveled from Phoenix. It serves as a measure of distance covered, indicating how far Marcos has progressed on his route. By monitoring the value of d, we can determine the distance remaining to reach Flagstaff or calculate other distance-related parameters such as average speed or total distance traveled.
By using these variables, we can establish a relationship between time and distance traveled by Marcos. This relationship can be represented by a function or equation that describes Marcos' progress over time, such as a velocity equation or a distance-time equation. These variables and their relationship allow us to analyze and make predictions about Marcos' journey. We can determine when he is expected to reach certain milestones, calculate his average speed or rate of travel, and estimate the time required to complete the journey. Additionally, these variables provide a framework for solving various problems or making decisions related to Marcos' travel, such as optimizing his route or estimating fuel consumption based on distance traveled.
In summary, by using the variables t and d to represent time and distance traveled, respectively, we can effectively describe and analyze Marcos' journey from Phoenix to Flagstaff, enabling us to make informed decisions and predictions about his travel experience.
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which of the following are congruent triangles reflection
what’s this need help
asap !
Given the set of transactions:
(a, b, c, d, e, f)
(a, b, c, d, e, f, g)
(a, b, c, e, h, i)
(a, b, e, h)
(b, c, d, e, f)
find association rules AR(3, 80%)
Given the set of transactions: (a, b, c, d, e, f), (a, b, c, d, e, f, g), (a, b, c, e, h, i), (a, b, e, h), (b, c, d, e, f), the association rules AR(3, 80%) cannot be determined as there are no frequent itemsets with a support of at least 80% and a length of 3.
1. Calculate frequent itemsets: To find association rules, we first need to identify the frequent itemsets from the given set of transactions. Frequent itemsets are sets of items that occur together frequently. In this case, we need to determine frequent itemsets with a minimum support threshold.
2. Determine itemsets of length 3: After obtaining the frequent itemsets, we filter them to find itemsets of length 3, as specified by AR(3).
3. Check support: Finally, we check the support of the itemsets of length 3. Support refers to the frequency of occurrence of an itemset in the transactions. To meet the specified requirement of 80%, we need to verify if any of the itemsets have a support of at least 80%.
In this case, without the specific support values for the itemsets, it is not possible to determine the association rules with a length of 3 and a support of 80%. It indicates that there are no frequent itemsets that meet the specified criteria in the given set of transactions.
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What relationship do the ratios of sin x° and cos yº share?
a. The ratios are both identical (12/13 and 12/13)
b. The ratios are opposites (-12/13 and 12/13)
c. The ratios are reciprocals. (12/13 and 13/12)
d. The ratios are both negative. (-12/13 and -13/12)
The relationship between the ratios of sin x° and cos yº is that they are reciprocals. The correct answer is option c. The ratios of sin x° and cos yº are reciprocals of each other.
In trigonometry, sin x° represents the ratio of the length of the side opposite the angle x° to the length of the hypotenuse in a right triangle. Similarly, cos yº represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.
Since the hypotenuse is the same in both cases, the ratios sin x° and cos yº are related as reciprocals. This means that if sin x° is equal to 12/13, then cos yº will be equal to 13/12. The reciprocals of the ratios have an inverse relationship, where the numerator of one ratio becomes the denominator of the other and vice versa.
It's important to note that the signs of the ratios can vary depending on the quadrant in which the angles x° and yº are located. However, the reciprocal relationship remains the same regardless of the signs.
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PLEASE HELP ANSWER
Tiana would like to buy cone-shaped hats for her birthday party. She wants hats with the largest volume, since they look bigger. Which of the following brands of hat should she buy?
Brand A:
height of cone = 15 in.
radius of cone base=6 in.
Brand B:
height of cone = 18 in.
radius of cone base=5 in.
A. Brand A
B. Brand B
C. Either - the hats have equal volumes
Brand A hat is more preferable with largest volume i.e. 565.2 cu. inches.
What is Cone?A cone is a distinctive three-dimensional geometric figure that has a flat surface and a curved surface, pointed towards the top.
Here, Given data are:
Height of cone for Brand A = 15 in.
Radius of cone of Brand A =6 in.
Volume of Cone of brand A = \(\frac{1}{3}\pi r^2h\)
V =\(\frac{1}{3}X 3.14X6^2X15\)
V = 565.2 cu. in.
Height of cone for Brand B = 18 in.
Radius of cone of Brand B =5 in.
Volume of Cone of brand A = \(\frac{1}{3}\pi r^2h\)
V =\(\frac{1}{3}X 3.14X5^2X18\)
V = 471 cu. in.
Volume of brand A > volume of brand B.
Thus, Brand A hat is more preferable with largest volume i.e. 565.2 cu. inches.
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Riley is starting her own laundry business. Riley thinks she will do a better job than her competitors, so she thinks she can charge $16.80 per hour. If she knows she will only be able to work 40 hours per week, how much money will she earn each week?
Answer:
dont copy thos links they are a Scamm
Helps me solve this problem please
Answer:
I Think D.
Step-by-step explanation:
Fifteen percent of a bag of chocolate candies have a red coating on them. How many red pieces are in a bag of 60 candies?
Answer:
9 red pieces
Step-by-step explanation:
1 bag =15% of chocolate candies with red coating
In a bag of 60 candies , red pieces = 15/100×60
=3×3( after division)
red pieces in a bag of 60 candies=9
-3 (-5.6) please help
Answer:
16.8
Step-by-step explanation:
Answer:
16.8
Step-by-step explanation:
-3 (-5.6)
= -3 × (-5.6)
= (-5.6) × (-3)
= 16.8
Which statement about geometric figures is true?
O A ray has exactly two endpoints.
O On a coordinate plane, parallel lines have the same slope.
O Two lines on a coordinate plane that do not intersect are perpendicular.
O An angle is formed by a set of points that are all equidistant from a common point.
Answer:
B
Step-by-step explanation:
On a coordinate plane, parallel lines have the same slope as geometric figures are true. Thus option B is correct.
What are geometric figures?Marks, splines, spheres, and curved are used to build enclosed geometric shapes. We can see these shapes all around us. Illustrations of geometric shapes include circles, rectangles, triangles, and others. Any configuration of points, columns, or angles is a geometry figure.
A point is the most fundamental algebraic concept because it has no boundaries. Simply put, a point upon that plane is a location. A dot is used to symbolize it. A plane can be identified by three non-straight-line points.
As two or much more vectors seldom cross each other and are located on the same dimension, these are said to be parallel. The slope of these lines is constant. Coplanar lines that seem to be parallel are the ones that don't cross. Therefore, option B is the correct option.
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What is the meaning of sampling probability?
The sampling probability refers to the property of an element of a given population in its given probability to become a part of a sample during the drawing of a single sample.
It is a defined and distinguished technique that is based on the principle of random selection to study a certain part of a concerning population. Furthermore, in this specific method, every member of the population has the possibility of having an equal chance of being chosen for the sample.
One backlash in the field of using sampling probability is it's very time-consuming and has a higher expenditure in comparison to other methods.
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Help this is binary operations btw
Answer:
69
Step-by-step explanation:
p ÷q = 3p^2 -29
5÷3=3 x 5^2 - 2x3 = 3 x 25 - 6 = 75 - 6 = 69
What is the diameter of the small volcano "Pico" at the \( 2000 \mathrm{~m} \) isoline? (meters) Remember \( 1 \mathrm{~km}=1000 \mathrm{~m} \)
The diameter of the small volcano 'Pico' would be = 8km
What is an isoline of a map?An isoline is defined as the line found on a map that has constant value of either distance, temperature or rainfall.
The isoline that is used in the given map above = 2000m.
The number of lines that surrounds the pico volcano = 4
Therefore the diameter of the volcano = 2000×4 = 8000m
But 1000m = 1km
8000m = 8km
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Ben is three times as old as Kate. Kate is 6 years older than Jill. Jill is J years old. What is the combined age of the three people?
Answer:
the combined age of the three people is
5 J + 24
Step-by-step explanation:
Jill (J)
Kate (J+6)
Ben 3(J+6)
J + (J+6) + 3(J+6)
J+J + 6 +3 J +18
5 J + 24
y + 2/5y whats is its equivalent expression
Answer:
(7 y)/5 I think...
Step-by-step explanation:
Which number should be added to
both sides of this quadratic equation
to complete the square?
(-3/2)² + 1 = x² − 3x + (-3/2)²
Answer:
9/4
Step-by-step explanation:
You want to know the value required to complete the square in the equation 1 = x² -3x.
PictureYour picture shows the required value: (-3/2)² = 9/4.
<95141404393>
Please help with this problem. It's very confusing.
Answer:
9x
Step-by-step explanation:
)