Use the next trigonometric ratio to find the value of x:
\(sin\theta=\frac{opposite}{hypotenuse}\)For angle x:
\(\begin{gathered} sinx=\frac{9}{29} \\ \\ x=\sin^{-1}(\frac{9}{29}) \\ \\ x\approx18º \end{gathered}\)Then, the value of x is 18ºPls help I am stuck Tysm
The mistake that Katie made in the stem and leaf diagram, was that she D. Missed a length.
How did Katie miss a length ?Looking at the stem and leaf diagram, we see that there are 14 leaves. This means that there are 14 lengths of caterpillars. However, there are 15 lengths shown on the table.
This means that there is a length missing that Katie failed to account for. Upon close inspection of the stem and leaf plot, we find that the missing length is a second value of 70 because there are two lengths that are 70 but this is shown only once on the stem and leaf plot.
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HELP ME PLEASE I NEED TO PASS
We know this because the property √ (a * b) = √a * √b allows us to simplify expressions under radicals by factoring out perfect squares or perfect cubes. In this case, we were able to factor out a perfect cube of 1 and simplify the expression to 3 * √11.
What is cube?In geometry, a cube is a three-dimensional solid object with six square faces, where each face meets the others at a right angle. It has 12 edges and 8 vertices. The cube is a regular polyhedron, meaning all of its faces are congruent (equal in size and shape) and its angles are all equal.
A cube can be thought of as a special case of a rectangular parallelepiped, where all sides are equal in length. The volume of a cube is found by taking the cube of the length of one of its sides, and its surface area is found by taking the product of the length of one of its sides by 6. Cubes are used in many applications, such as in building blocks for children, dice, and in architecture.
by the question.
To find an equivalent form of 3√11, we can use the property of radicals that states:
√ (a * b) = √a * √b
We can use this property to simplify the expression under the radical until we can factor out a perfect cube.
3√11 can be written as 3√ (1 * 11)
Using the above property, we can simplify as follows:
3√ (1 * 11) = 3√1 * √11 = 3 * √11
Therefore, an equivalent form of 3√11 is 3 * √11.
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If 3x-18=186 what is the value of x
Answer:
x = 68
Step-by-step explanation:
\(3x-18=186\\\\3x=186+18\\\\3x=204\\\\x= \frac{204}{3}\\\\x=68\)
(b) A shopkeeper gave a bill to a customer. The bill was in two digits but was mistakenly interchanged thereby undercharging the customer by $45.00. If the sum of the digits is 9, find the actual value of the bill.
The actual value of the bill can either be $90 or $81 or $18 or $54 or $27 or $72 or $36 or $63 bill.
A digit is a part of a set that, when taken as a whole, makes up a numeration system. A digit is a number in that particular circumstance. The members of the set 0 through 9 make up the digits of the decimal (base-10) Arabic numbering system.
The bill of the customer was mistakenly interchanged by $45.
The sum of the two digits of the bill is 9.
Now,
9 = 9 + 0 or,
9 = 8 + 1 or,
9 = 1 + 8 or,
9 = 5 + 4 or,
9 = 2 + 7 or,
9 = 7 + 2 or,
9 = 3 + 6 or,
9 = 6 + 3
Therefore, $45 bill can be mistakenly interchanged by $90 or $81 or $18 or $54 or $27 or $72 or $36 or $63 bills.
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6.1 Define the term inflation.
Answer:
the action of inflating something or the condition of being inflated.
"the inflation of a balloon"
ASTRONOMY
(in some theories of cosmology) a very brief exponential expansion of the universe postulated to have interrupted the standard linear expansion shortly after the Big Bang.
2.
ECONOMICS
a general increase in prices and fall in the purchasing value of money.
"policies aimed at controlling inflation"
Find the value of x, rounded to the nearest tenth?
Answer:
Step-by-step explanation:
we can use the trigonometric function in a right triangle
cos x = adjacent side to the angle /hypothenuse
cos 36°= x/10 ; multiply both sides by 10
10 * cos 36° = x ; make sure your calculator mode is in degrees
8.1 = x
URGENT. Neil donated 30 notebooks to a local school and Ronald donated 20 notebooks. Of the donated notebooks, 16 of Neil's notebooks were wide-ruled and 12 of Ronald's notebooks were wide-ruled.
Charmaine will randomly choose a notebook from a box containing either Neil's or Ronald's donated notebooks. If she wants to pick a wide-ruled notebook, which box should she choose from?
A.
Neil's box
B.
There is not enough information to determine whose box Charmaine should choose.
C.
Ronald's box
D.
Charmaine is equally likely to choose a wide-ruled notebook from Ronald's box or Neil's box.
Answer:
RONALDS BOX
Step-by-step explanation:
PLATO
Ronald's box, and the correct option is C.
---------------------------
This question is solved using probability concepts.
A probability is the number of desired outcomes divided by the number of total outcomes.Charmaine should choose the box with a higher probability of choosing a wide-ruled notebook.---------------------------
Neil:
16 out of 30 wide-ruled, so, the probability of choosing a wide-ruled notebook is:
\(p_N = \frac{16}{30} = 0.5333\)
---------------------------
Ronald:
12 out of 20 wide-ruled, so, the probability of choosing a wide-ruled notebook is:
\(p_R = \frac{12}{20} = 0.6\)
---------------------------
Decision:
Due to the higher probability of choosing a wide-ruled notebook, 0.6 > 0.5333, she should choose from Ronald's box, and the correct option is C.
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For which of the following displays of data is it not possible to find the mean histogram frequency, table, stem, and leaf plot doc plot
The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.
Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.
A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.
A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.
A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.
A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.
In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.
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How many years.? A tree is 4 1/2 feet tall it is expected to grow 1 3/4 how many years will it take for it to grow 40 feet.?
Answer:
about 22.85 years but if we round that its approximentaly 23 years in total
Step-by-step explanation:
0w0
Answer:
23
Step-by-step explanation:
The domain of a function h(x) is x < 5, and the range is y< 4. What are the
domain and range of its inverse function, h-¹ (x)?
A. Domain: x ≥ 4
Range: y≥ 5
B. Domain: x≥ 5
Range: y ≥ 4
OC. Domain: x < 5
Range: y < 4
OD. Domain: x < 4
Range: y < 5
The domain of a function h(x) is x < 5, and the range is y< 4. The domain and range of its inverse function, h-¹ (x) will be domain is x < 5 and range: y < 4.
Define domain and range.The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values. In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x). Simply put, x=g(y) will calculate the function's range after we identify g's domain (y).
Given,
The domain of a function h(x) is x < 5, and the range is y< 4.
The domain and range of its inverse function, h-¹ (x)
The domain and range switch places when the function is inverted.
This indicates that x < 4 and y < 5 are the domain and range of its inverse function, h-1(x).
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what are the features of the function g if g(x)= f(x+4) +8
The domain, range, x-intercept, or y-intercept of g(x) = f(x + 4) + 8. The features of g depend on the corresponding features of f.
Given the function g(x) = f(x + 4) + 8, let's examine its features:
Domain:
The domain of the function g will be the same as the domain of the function f, which depends on the restrictions or constraints of f. However, it is important to note that shifting the input by 4 units (x + 4) does not inherently change the domain unless there are specific restrictions imposed by f.
Range:
Similar to the domain, the range of the function g will depend on the range of the function f.
x-intercept:
The x-intercept of a function is the point where the graph intersects the x-axis, meaning the y-coordinate is zero (y = 0). To find the x-intercept of g(x), we set g(x) = 0 and solve for x.
0 = f(x + 4) + 8
By subtracting 8 from both sides:
-8 = f(x + 4)
Since the exact value of x that makes f(x + 4) equal to -8. The x-intercept will depend on the behavior of f.
y-intercept:
The y-intercept of a function is the point where the graph intersects the y-axis, meaning the x-coordinate is zero (x = 0). To find the y-intercept of g(x), we substitute x = 0 into the function:
g(0) = f(0 + 4) + 8
g(0) = f(4) + 8
Again, the specific value of f(4) will depend on the behavior of the function f.
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At the same time, Min's little
brother throws a baseball from a
height of 4 feet with an initial
vertical velocity of 20 feet per
second. What polynomial models
the height of this ball, in feet?
–162 +
t +
DONE
High school guestion
Answer: 20t +4
Step-by-step explanation:
Aleks topic please help
Answer:
Item price now= 3.95
Step-by-step explanation:
To find out the price now, we will subtract 79 (original price) by 95% of 75. That will equal the discounted price. Finding the percentage of anything, we can use the formula, Total amount•percentage/100. The total amount is 79, and the percentage is 95. 79•95=7505, 7505/100=75.05. Now, 95% of 79 is 75.05, 79-75.05=3.95. $3.95 is the price now of the item. Though, I am unsure what a ALEKS calculator is. Have a nuce time, and joyful day
Please A milligram is a small unit of measure for mass in the metric system. There are 1,000 milligrams in 1 gram. btw
Which amount is greater than 12 grams?
1,200 milligrams
1,300 milligrams
12,000 milligrams
13,000 milligrams
Answer:n the metric system, "milli" means 1/1,000 and "kilo" means 1,000. This means that a milligram is 1/1,000 of a gram, and a kilogram is 1,000 grams. So a kilogram is much heavier than a milligram; in fact, a kilogra
Step-by-step explanation:
What is a fraction? What does it represent? Give an example.
First to answer with a question that makes sense gets brainiest.
Answer:
Its how you represent a number. Less than a whole number.
Step-by-step explanation:
Answer:
.......................
Step-by-step explanation:
1 In alene triangle ABC shown in the diagram below. mZC = 90° Do B
Ok, in our scalene triangle,
Find the equation that represents the proportional relationship in this graph, for y in terms of x.
Answer:
y = 0.4 x
Step-by-step explanation:
4 to the power of3 -(2+2to the power of 3) x 5
Answer:
14
Step-by-step explanation:
Given the following equation;
4³ - (2 + 2³) * 5
4*4*4 - (2 + 2*2*2) * 5
64 - (2 + 8) * 5
64 - (10) * 5
64 - 50 = 14
Note: the rule of BODMAS was applied.
HELP ITS DUE TMR PLEASE
Answer:
im pretty sure the answer is (-5,-7)?
in the figure, rs and tu intersect at point W. If m
In the given image you can notice that angles ∠TWS and ∠RWU are congruent (because they are consecuence of the intersection of two lines in one point). It means that the measure of both angles are equal.
If m∠TWS = 108° and m∠RWU = 6x, you have:
m∠TWS = m∠RWU
108 = 6x divide by 6 both sides
108/6 = x
x = 18
Hence, the value of x is x = 18
please help asap no trolls will give brainliest!!!
Step-by-step explanation:
The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
So the smallest angle is <P.
Hope it may help :)
In Isaiah’s class, 18/24 of the students like swimming better than they like running. What is 18/24 in simplest form?
Answer:
3/4
Step-by-step explanation:
Last month the amount on Jaden's bank account statement went from $200 to $150.
What was the percent change?
Answer:
That is a 25% change.
Step-by-step explanation:
Suppose one person used 2 parts blue paint to 3 parts yellow paint. Another person used 4 parts blue paint to 6 parts yellow paint. Do the ratios of blue paint to yellow paint form a proportional relationship? Explain!
Answer:
Yes, ratios of blue paint to yellow paint form a proportional relationship
Step-by-step explanation:
In case of the first person:
Number of blue parts = 2
Number of yellow parts \(=3\)
In case of another person:
Number of blue parts \(=4\)
Number of yellow parts \(=6\)
Ratio of blue parts \(=2:4=1:2\)
Ratio of yellow parts \(=3:6=1:2\)
As ration of blue parts is equal to the ratio of yellow parts, ratios of blue paint to yellow paint form a proportional relationship
David and Ken took part in a cycling race. Both of them did not change their speed throughout the race. David completed the race in 5 hours while Ken took 7 hours. Ken's average speed was 9.8 km/h less than David's average speed.
A) What was David average speed
B)What was the distance of the cycling race?
Let's assume David's average speed is S km/h.
A) To find David's average speed, we can use the formula: Speed = Distance / Time.
David completed the race in 5 hours, so his speed is S km/h. Therefore, we have:
S = Distance / 5
B) Ken's average speed is 9.8 km/h less than David's average speed, which means Ken's average speed is (S - 9.8) km/h.
Ken took 7 hours to complete the race, so we have:
S - 9.8 = Distance / 7
Now, we can solve the system of equations to find the values of S and Distance.
From equation (1): S = Distance / 5
Substitute this into equation (2):
Distance / 5 - 9.8 = Distance / 7
Multiply both sides of the equation by 35 to eliminate the denominators:
7 * Distance - 35 * 9.8 = 5 * Distance
7 * Distance - 343 = 5 * Distance
Subtract 5 * Distance from both sides:
2 * Distance - 343 = 0
Add 343 to both sides:
2 * Distance = 343
Divide both sides by 2:
Distance = 343 / 2 = 171.5 km
Therefore, the distance of the cycling race is 171.5 kilometers.
To find David's average speed, substitute the distance into equation (1):
S = Distance / 5 = 171.5 / 5 = 34.3 km/h
So, David's average speed was 34.3 km/h.\(\)
Answer:
A) 34.3 km/h
B) 171.5 km
Step-by-step explanation:
Since Ken's average speed is said to be 9.8km/h less than David's average speed, and we know that Ken's average speed is dependent on him traveling for 7 hours, then we have our equation to get the distance of the cycling race:
\(\text{Ken's Avg. Speed}=\text{David's Avg. Speed}\,-\,9.8\\\\\frac{\text{Distance}}{7}=\frac{\text{Distance}}{5}-9.8\\\\\frac{5(\text{Distance})}{7}=\text{Distance}-49\\\\5(\text{Distance})=7(\text{Distance})-343\\\\-2(\text{Distance})=-343\\\\\text{Distance}=171.5\text{ km}\)
This distance for the cycling race can now be used to determine David's average speed:
\(\text{David's Avg. Speed}=\frac{\text{Distance}}{5}=\frac{171.5}{5}=34.3\text{ km/h}\)
Therefore, David's average speed was 34.3 km/h and the distance of the cycling race was 171.5 km.
Using only addition and multiplication, combine the single -digit numbers 1,2,3,4,5,6,7,8,9. So they total 100. the number must stay in the same order (Parentheses are not needed)
It is not possible to find a combination using addition and multiplication of the given single-digit numbers that totals exactly 100 while keeping the same order.
To combine the single-digit numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 using only addition and multiplication so that they total 100 while keeping the same order, we can form the following expression:
1 + 2 + 3 + 4 + 5 + 6 + 78 + 9
In this expression, we group the numbers 7 and 8 together to form 78. Then, we add all the other numbers from 1 to 6 and the number 9. Adding them up, we get:
1 + 2 + 3 + 4 + 5 + 6 + 78 + 9 = 108
Unfortunately, the sum obtained from this expression is 108, not 100 as required.
It is not possible to obtain a sum of exactly 100 by combining the single-digit numbers 1 to 9 in the given order using only addition and multiplication. This is because the largest single-digit number, 9, is relatively small compared to the desired total of 100.
Adding all the single-digit numbers in order without any multiplication would result in a sum of 45, which is significantly lower than 100. Multiplication can only further decrease the sum, making it even more difficult to reach 100.
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How to solve adjacent angles?
Answer:
D
Step-by-step explanation:
1 + 4x and 57° are corresponding angles and are congruent , so
1 + 4x = 57 ( subtract 1 from both sides )
4x = 56 ( divide both sides by 4 )
x = 14
Here is a simple math question
Answer: range: 49-22=27
median: 40+41=81 81/2=40.5
mean: add up all the numbers=485 485/12=40.4
mode: 39, 40 and 46
Answer:
simple 49-22=27
mode 39, 40 and 46
Step-by-step explanation:
Hi I need help finding the degree measure of Radian on a triangle with hypotenuse =7 and opposite =3
Answer:
24.6 degrees.
Step-by-step explanation:
To find the degree measure of the radians in a right triangle with hypotenuse = 7 and opposite = 3, we need to use trigonometric ratios. Since the opposite and hypotenuse are given, we can use the sine ratio.
sin(θ) = opposite/hypotenuse
sin(θ) = 3/7
Now we need to find the angle measure θ. We need to use the inverse sine or arcsine function to do this.
θ = sin^-1(3/7)
θ ≈ 0.429 radians
To find the degree measure, we must convert radians to degrees by multiplying by 180/π.
θ ≈ 0.429 x 180/π
θ ≈ 24.6 degrees
Therefore, the degree measure of the radians in the given triangle is approximately 24.6 degrees.
HELP ASAP PLS! The ratio of bows to headbands of Monique’s hair accessories is 8:4. Select all true statements.
A. For every 8 hair accessories, 4 are bows.
B. For every 8 bows, there are 4 headbands.
C. For every 8 headbands, there are 4 bows.
D. For every 8 hair accessories, 4 are headbands.
E. For every 12 hair accessories, 4 are headbands.