Find the value of X. If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale. Please show steps.
Answers
Tan(α)=Opposite leg/Adjacent leg
The angle α is 60°, so the opposite leg is "x" and the adjacent leg is 5.
2. When you substitue these values, you have:
Tan(α)=Opposite leg/Adjacent leg
Tan(60°)=x/5
x=(5)(Tan(60°)
x=5√3
Then, the answer is: The value of "x" is 5√3
Related Questions
A piece of wood is 3/4 meter long is being cut into smaller pieces that are each 1/10 meter long. Which expression is one of the steps in determining how many pieces can be cut?
A. 3/4 • 1/10
B. 3/4 • 10/1
C. 10/1 • 4/3
D. 1/10 • 3/4
Answers
The expression that is one of the steps in determining how many pieces can be cut is B. 3/4 • 10/1
if f(x)= 2x^2+5sqrt(x-2), complete the following statement: The domain for f(x) is all real numbers _____ than or equal to 2. (fill in the blank)
Answers
Answer:
Greater.
Step-by-step explanation:
The in the function [tex]f(x)=2x^2+5\sqrt{x-2}[/tex], the square root term [tex]\sqrt{x-2}[/tex] has to give a real number if [tex]f(x)[/tex] is to be real. This can only happen if [tex]x\geq 2[/tex] because if [tex]x<2[/tex] then [tex]\sqrt{x-2}[/tex] will give a complex number and therefore [tex]f(x)[/tex] will not be real.
Thus, the domain for f(x) is all real numbers greater than or equal to 2.
The domain for f(x) is all real numbers greater than or equal to 2.
This is because the square root function is undefined when its argument is less than or equal to 0. So, the expression 5sqrt(x-2) is defined only when x-2 is greater than or equal to 0. This means that x must be greater than or equal to 2.
The domain of f(x) is all real numbers x such that x ≥ 2.
Here is a table that shows the values of f(x) for different values of x:
x | f(x)
2 | 20
3 | 29
4 | 42
5 | 57
6 | 74
As you can see, the values of f(x) are defined for all real numbers x such that x ≥ 2.
To learn more about domain here:
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I need help for 2, 4,7 and 9 !! SOLVE FOR X !!! Thank you
Answers
what is the length of line segment ab
Answers
Distance Formula:
√((x₂ - x₁)² + (y₂ - y₁))
√((5 - 0)² + (0 - 12)²) = 13
Answer:
The length of line segment is 13 units
Step-by-step explanation:
Given the line segment AB.
we have to find the length of line segment.
The coordinates of A and B are (0, 12) and (5, 0) respectively.
By distance formula,
[tex]\text{The distance between the points }A(x_1,y_1)\text{ and } B(x_2, y_2)[/tex]
[tex]AB=\sqrt{(x_2-x_1)^2+y_2-y_1)^2}[/tex]
[tex]AB=\sqrt{(5-0)^2+(0-12)^2}[/tex]
[tex]AB=\sqrt{25+144}=\sqrt{169}=13 units[/tex]
Hence, the length of line segment is 13 units.
Which of the sets of ordered data represents this box-and-whisker plot?
65, 65, 70, 75, 80, 80, 85, 90, 95, 100
65, 70, 75, 80, 80, 85, 90, 95, 100
65, 65, 72.5, 70, 75, 80, 80, 85, 90, 100
65, 70, 75, 80, 85, 90, 95, 100
Answers
the calculated five-number summaries with the given box-and-whisker plot, the set of ordered data that matches the plot is: 65, 65, 72.5, 70, 75, 80, 80, 85, 90, 100
To determine which set of ordered data represents a given box-and-whisker plot, we need to understand how a box-and-whisker plot is constructed.
A box-and-whisker plot shows the distribution of a dataset by displaying the five-number summary: minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum. Here's how these values are calculated:
1. Arrange the data in ascending order.
2. Find the median (Q2), which is the middle value of the dataset.
3. Find the first quartile (Q1), which is the median of the lower half of the dataset (excluding the median itself).
4. Find the third quartile (Q3), which is the median of the upper half of the dataset (excluding the median itself).
5. Determine the minimum and maximum values.
Let's calculate the five-number summary for each set of ordered data:
1. For the dataset: 65, 65, 70, 75, 80, 80, 85, 90, 95, 100
- Minimum: 65
- Q1: 70
- Median: 80
- Q3: 90
- Maximum: 100
2. For the dataset: 65, 70, 75, 80, 80, 85, 90, 95, 100
- Minimum: 65
- Q1: 75
- Median: 80
- Q3: 90
- Maximum: 100
3. For the dataset: 65, 65, 72.5, 70, 75, 80, 80, 85, 90, 100
- Minimum: 65
- Q1: 70
- Median: 77.5 (average of 75 and 80)
- Q3: 85
- Maximum: 100
4. For the dataset: 65, 70, 75, 80, 85, 90, 95, 100
- Minimum: 65
- Q1: 72.5 (average of 70 and 75)
- Median: 82.5 (average of 80 and 85)
- Q3: 92.5 (average of 90 and 95)
- Maximum: 100
Comparing the calculated five-number summaries with the given box-and-whisker plot, the set of ordered data that matches the plot is: 65, 65, 72.5, 70, 75, 80, 80, 85, 90, 100.
At the library you find nine books on a certain topic the librarian tells you that 55% of the books on this topic have been signed out how many books does the library have available on the topic
Answers
5 books remain.
Owen settled on a price of $7,870 for a new car. The dealer had to add 4.5% sales tax to this price, but allowed a $1,200 trade-in for Owen's old car. Although not a universal practice, please add the sales tax to the price of the new car first and then deduct the trade- in value. If the dealer required a 15% down payment, calculate the amount of the purchase price that Owen financed.
Answers
To find the amount that Owen financed, we first calculate the sales tax, add it to the initial price, deduct the trade-in value, and then calculate the percent of the final price that Owen needs to finance.
Explanation:To solve the problem, we first need to calculate the total cost of the car by adding the sales tax to the original price. Sales tax is calculated as follows: $7,870 * 4.5/100 = $354.15. So, the total cost before the trade-in is $7,870 + $354.15 = $8,224.15.
Next, we deduct the trade-in value of the old car, which is $1,200. The price after trade-in is, therefore, $8,224.15 - $1,200 = $7,024.15.
Finally, the dealer requires a 15% down payment. The amount Owen needs to finance is therefore 85% of the final price (100% - 15% = 85%). The financed amount is: $7,024.15 * 85/100 = $5,970.53.
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11 + 5 + 22 × 12 − 10
Answers
22 x 12 = 264
11 + 5 = 16
264 + 16 = 280
280 - 10 = 270
270 is your answer
hope this helps
Which trinomials are perfect square trinomials? Select each correct answer.
A) m^2+10m+100
B) m^2+10m+25
C) m^2+24m+144
D) m^2+36m+60
Answers
[tex](a+b)^2[/tex]
the expansion is
[tex]a^2+2ab+b^2[/tex]
so if we say that a=m then
[tex](m+b)^2=m^2+2mb+b^2[/tex]
basically, if you take the coefient (number part) of the 2mb term and divide it by 2 and square it, you should get the last term
(coefient is the number part, like in 4m, 4 is the coefient)
A.
[tex]m^2+10m+100[/tex]
10m is the 2mb term
10 is the coefient, 10/2=5, 5^2=25, 25≠100, so not a perfect square trinomial
B.
[tex]m^2+10m+25[/tex]
as from before, 10 is coefient, 10/2=5, 5^2=25, 25=25, yep, this is perfect square trinomial
C.
[tex]m^2+24m+144[/tex]
24m is the 2mb term, 24 is coefient, 24/2=12, 12^2=144, 144=144, yep this is a perfect square trinomail
D.
[tex]m^2+36m+60[/tex]
36m is the 2mb term, 36 is the coefient, 36/2=18, 18^2=324, 324≠60, so not a perfect square trinomial
answers are B and C
A student attempted to generate an equivalent expression using the distributive property, as shown below:
4(x + 2) = x + 8
What was the mistake made?
4 was not multiplied by x
4 was not multiplied by 2
Incorrect sign was used for the first term
Incorrect sign was used for the second term
Answers
Answer:
4 was not Multiplied By X
Step-by-step explanation:
Bill is shopping for folder, notebook, and pencils for the first day of school. a notebook costs 4 times as much as a folder. a notebook costs 2 times as much as a set of pencils. each folder costs $ 2 . determine the costs for 1 folder, 1 notebook, and 1 set of pencils.
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Find the missing value to the nearest hundredth of a degree. Help!!
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cos(alfa)=0.2546
arc cos (0.2546)=75.2501---------- > 75.25°
the answer is 75.25°
Answer:
The answer above for question 7 is also correct its B. 30 degrees. Because that anser is hard to find on here.
Step-by-step explanation:
What is the area of this circle
Answers
[tex]\pi \times {r}^{2} [/tex]
We can follow this formula to find the area of a circle.
Area of the circle:
153.94
(Approximate)
7in*7in=49square in
than multiply by pi
hope this helps
Kim and her two brothers each use 1 1/2 cups of milk for breakfast how many fluid ounces of milk do they use in 4 days?
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The cost of 3 pounds of grapes is $6.57 what is the constant of proportionality that relates that cost in dollars,y,to the number of pounds of grapes,x?
Answers
for one pound of grapes it would cost $2.19,
for two pounds of grapes it would be $4.38,
and for three pounds of grapes would be $6.57.
4 points: A,B,C and D are marked in order on a line such that AB:AC = 3:7 and BD:CD= 9:2. If CD is 100cm long, find the length of AB.
Answers
The line is in order of A-B-C-D
Both ratios share BC so we can use that to transfer from one ratio to the next.
AB =3x AC=7x
subtract them to find the measurement of BC
AC- AB = BC
7x-3x = 4x . BC = 4x
BD= 9y CD=2y
Subtract them to find the measurement of BC
BD - CD = BC
9y-2y =7y BC =7y
CD is 100cm so 2y= 100 or y=50
substitute y for bc
7(50)=350
substitute BC for terms of x
350 = 4x
divide both sides by 4
X= 87.5
Substitute for AB
AB = 3x
AB = 3(87.5) = 262.5cm
87.5% of what number is 49?
Answers
87.5%*y=49
.875y=49
____ ___
.875 .875
divide both sides by .875
y=56
ax+z=aw-y solve for a
Answers
If a piece of cardboard is 6 in long and I line up a hundred and ten of them what would be the length of my row and feet
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A family reunion of 27 decided to go to Six Flags Magic Mountain. Adult tickets cost $40 each and child tickets cost $30 each. The total cost of all tickets was $930. Use the SUBSTITUTION METHOD to determine how many adults and how many child tickets were purchased?
Answers
To solve the problem, set up a system of equations with 'a' representing the number of adult tickets and 'c' representing the number of child tickets. Use the substitution method to solve for the variables. The solution is 12 adult tickets and 15 child tickets.
Explanation:To solve this problem using the substitution method, we need to set up a system of equations. Let's use the variables 'a' to represent the number of adult tickets and 'c' to represent the number of child tickets.
The cost equation can be expressed as: 40a + 30c = 930. This equation represents the total cost of all the tickets.
The quantity equation can be expressed as: a + c = 27. This equation represents the total number of people attending the reunion.
We can solve this system of equations using the substitution method. Multiply the second equation by 30 to get 30a + 30c = 810. Now subtract this equation from the first equation: 40a + 30c - (30a + 30c) = 930 - 810. Simplifying, we get: 10a = 120. Divide both sides by 10 to get a = 12.
Now that we know the number of adult tickets, we can substitute this value back into one of the original equations to solve for the number of child tickets. Using the second equation, we have: 12 + c = 27. Subtracting 12 from both sides, we get c = 15.
Therefore, 12 adult tickets and 15 child tickets were purchased.
how to find the height of a cylinder knowing the volume
Answers
The formula for volume of a cylinder is:
V = pi × r^2 × h
You'll do the opposite to find the height:
H = V ÷ pi × r^2
As you can see, you need the volume and the radius to find the height.
A right circular cylinder has a height of 19 3/4 ft and a diameter 1 2/5 times its height.
What is the volume of the cylinder?
Enter your answer in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.
Answers
Height of cylinder = [tex] 19\frac{3}{4} =19.75 [/tex]ft
Diameter of cylinder = [tex] 1\frac{2}{5} [/tex]times its height = [tex] 1.4 * 19.75=27.65 [/tex]ft
Now Radius = half of diameter = [tex] \frac{27.65}{2} =13.825 [/tex]ft
Now we have to find the Volume of cylinder
formula for Volume of cylinder is
Volume of cylinder = [tex] \pi r^2 h [/tex]
let's plug the values
Volume of cylinder = [tex] (3.14)*(13.825)^2 *(19.75) [/tex]
Plug the values in calculator
= 11852.9657 cubic feet
Round off the answer to two decimal places(i.e. hundredth)
= 11852.97 cubic feet
Please solve this problem (surface area). With work bc my teacher said I need to show work with my answer
Answers
The triangular faces are congruent, so they have the same area. We calculate one and we'll know both.
The three rectangles are different.
Triangular face (each)
Although you can hardly see in the colored figure, there is a small symbol on the right side showing that the 4 km side and the 3 km side of the triangles are perpendicular. That means those sides are the base and the height.
A = (1/2)bh = (1/2)(3 km)(4 km) = 6 km^2
Rectangular faces:
A = LW = 7 km * 3 km = 21 km^2
A = LW = 7 km * 5 km = 35 km^2
A = LW = 7 km * 4 km = 28 km^2
total surface area = 2 * 6 km^2 + 21 km^2 + 35 km^2 + 28 km^2
total surface area = 96 km^2
Using the given points, determine the slope. (5,-6)and(2,15)
Answers
Subtract the x-coordinates in the same order. This is the run.
Slope = rise/run.
Subtract the y-coordinates: -6 - 15 = -21. rise = -21
Subtract the x-coordinates in the same order:5 - 2 = 3. run = 3
slope = rise/run = -21/3 = -7
When you take the square root of a positive integer, how many possible answers are there? When you take the cube root of a positive or negative integer, how many possible answers are there?
Answers
For example sqrt 64 = +8 and - 8
(8)*(8) = 64
(-8)(-8) = 64 Remember when 2 minus' are multiplied together, you get a plus.
Oddly, when you take the cube root of something, you get only 1 answer. When you take an advanced math course, you will find out that it is three. But until you know what a complex number is, the answer is 1.
What is the arm span of a 74 inch tall person
Answers
Final answer:
The arm span of a person is typically about equal to their height; therefore, a 74 inch tall person is likely to have an arm span of approximately 74 inches.
Explanation:
The arm span of a 74-inch tall person can be estimated based on certain proportions. In general, a person's arm span is approximately equal to their height. This means that a 74-inch tall person would have an arm span close to 74 inches.
The arm span of a person is generally very close to their total height. Based on anatomical studies and the concept that human body proportions tend to be relatively consistent regardless of overall size, a person who is 74 inches tall is likely to have an arm span that is also approximately 74 inches. However, it is important to note that while this is a common correlation, individual variations do exist and a precise measurement would require actual measurement rather than estimation.
Matthew walks 5/8 mile to the bus stop each morning. how far will you walk in 5 days
Answers
have a nice day!
Mr. Malloy wants to make sure Amo and Javier get the best possible grade after five tests and can either give a grade based on the median or the mean.
Test
Number
Amo’s Scores
Javier’s Scores
1
97
68
2
92
97
3
89
65
4
55
92
5
90
65
What measure of center should Mr. Malloy use for Amo and for Javier for the best possible grade?
The teacher should use the mean for both Amo and Javier.
The teacher should use the median for both Amo and Javier.
The teacher should use the median for Amo and the mean for Javier.
The teacher should use the mean for Amo and the median for Javier.
Answers
Answer:
C: The teacher should use the median for Amo and the mean for Javier 2022
Step-by-step explanation:
I took the test and please mark brainly
AND PLEASE SCROLL DOWN WHENEVER YOUR LOOKING FOR ANSWERS BECAUSE THERE'S A REASON IT SOMETIMES SAYS 2 ANSWERS and if you see this please copy and paste this because some people are to lazy to scroll down and do work
For Amo, the median (89) is higher than the mean (84.6), and for Javier, the mean (77.4) is higher than the median (68). Thus, Mr. Malloy should use the median for Amo and the mean for Javier for the best possible grades.
Explanation:To determine the best possible grade for both Amo and Javier, we first need to calculate their mean and median scores. The mean is calculated by adding all the test scores together and dividing by the number of tests. The median is the middle score when all scores are listed in ascending order. If there is an even number of scores, the median is the average of the two middle scores.
Amo's Scores: 97, 92, 89, 55, 90
Javier's Scores: 68, 97, 65, 92, 65
For Amo, we calculate the mean as follows:
(97 + 92 + 89 + 55 + 90) / 5 = 84.6
The median for Amo would be the third score since there are five tests, which is 89.
For Javier, we calculate the mean as follows:
(68 + 97 + 65 + 92 + 65) / 5 = 77.4
The median for Javier would also be the third score, which is 68.
Now, comparing Amo's mean and median, we see that the median (89) of Amo's test scores is higher than the mean (84.6). Therefore, for Amo, Mr. Malloy should use the median.
Looking at Javier's mean and median, we see that the mean (77.4) of Javier's test scores is higher than the median (68). So, for Javier, Mr. Malloy should use the mean.
The teacher should use the median for Amo and the mean for Javier for the best possible grade.
112=7x+7(-4x-17)
So i need help with this and a worksheet that relates to these types of problems i got a 10% on it please helpppp
Answers
multiply the 7 by everything in parentheses
112=7x+(7*-4x)+(7*-17)
Positive multiplied by a negative is negative
112=7x-28x-119
combine like terms
112= -21x-119
add 119 to both sides
231= -21x
divide both sides by -21
-11= x
Check:
Substitute answer in equation
112= 7x + 7(-4x-17)
112= 7(-11)+7[(-4)(-11)-17]
112= -77 + 7(44-17)
112= -77 + 7(27)
112= -77 + 189
112=112
Hope this helps! :) Good luck with math!!
HELP
How many pieces 3/7 of a foot each can I make out of 7/2 feet of rope?