tan x degrees = 5 x to the nearest tenth
Answers
By applying the concept of direct and inverse trigonometric functions, the value of x associated with the trigonometric function tan x = 5 is approximately 78.7°.
The complete question is given below:-
Tan x degrees = 5. find the value of x to the nearest tenth
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
tan x = 5
x = atan 5
x ≈ 78.7°
By applying the concept of direct and inverse trigonometric functions, the value of x associated with the trigonometric function tan x = 5 is approximately 78.7°.
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Related Questions
PLS HELPPP ive been stuck on this for so long
Answers
Answer:
1. 15.17ft 2. 18.57ft 3. 22.41%
Step-by-step explanation:
1. What was the length of one side of the garage originally?
Area of a square = s × s which is also equal to s²
s means one side of the square, as it is a square, all sides are equal.
so
230 = s²
s = √230 = 15.17
2. What is the length of one side of the garage now?
The original area of the garage was 230ft²
But now, the area has increased by 50%
Increased Area = 230 × 50% = 115ft²
Total Area = 230 + 115 = 345ft²
In the question, they are saying that after the area is increased, the garage is still a square which means that the side lengths have equal values.
Area = s²
345 = s²
s = √345 = 18.57
3. What was the percentage increase of the length of one side?
Length : Percentage
15.17 : 100
18.57 : x
When the length of one side was 15.17, the percentage was 100% as that is what the original length was, we can use ratio and proportion to find what the percentage will be when the length is 18.57.
Now cross multiply
18.57 × 100 = 15.17x
1857 = 15.17x
1857/15.17 = x
x = 122. 41
The new percentage is 122.41%
The difference between both percentages is:
122.41 - 100 = 22.41
And 22.41 is the percentage increase.
Peter wants to buy a coat that costs $87 at full price.The coat is now on sale for 40% off
Part A: Explain how Peter can use the fact that 10% of $87 is $8.70 to find the amount he will save on the coat
Part B: Use the same method to find the amount Peter would save on a $64 coat that is on sale for 40% off
Answers
Step-by-step explanation:
Hello!
Part A
Peter can use the fact that 10% of 87 is 8.70 to find the amount he would save because 40% is just 4 times bigger than 10% so he can take 8.70 from to total of the coat 4 times to find out how much it cost.
Part B
Using the same method we know that 10% of 64 is 6.40 so we subtract that from the price of the coat 4 times to find out how much it cost
64 - 6.40 = 57.6
57.6 - 6.40 = 51.2
51.2 - 6.40 = 44.8
44.8 - 6.40 - 38.4
The price of the coat is $38.4
Hope this helps!
4-True or False
T(x, y, z)=(1, x, z) is not a linear transformation
Answers
The statement is false. T(x, y, z) = (1, x, z) is a linear transformation.
To determine if T(x, y, z) = (1, x, z) is a linear transformation, we need to check two conditions: additivity and scalar multiplication.
Additivity:
For any two vectors u = (x1, y1, z1) and v = (x2, y2, z2), we need to check if T(u + v) = T(u) + T(v).
Let's compute T(u + v):
T(u + v) = T(x1 + x2, y1 + y2, z1 + z2)
= (1, x1 + x2, z1 + z2)
Now, let's compute T(u) + T(v):
T(u) + T(v) = (1, x1, z1) + (1, x2, z2)
= (1 + 1, x1 + x2, z1 + z2)
= (2, x1 + x2, z1 + z2)
Comparing T(u + v) and T(u) + T(v), we can see that they are equal. Therefore, the additivity condition holds.
Scalar Multiplication:
For any scalar c and vector u = (x, y, z), we need to check if T(cu) = cT(u).
Let's compute T(cu):
T(cu) = T(cx, cy, cz)
= (1, cx, cz)
Now, let's compute cT(u):
cT(u) = c(1, x, z)
= (c, cx, cz)
Comparing T(cu) and cT(u), we can see that they are equal. Therefore, the scalar multiplication condition holds.
Since T(x, y, z) = (1, x, z) satisfies both additivity and scalar multiplication, it is indeed a linear transformation.
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given triangle abc, how many possible triangles can be formed for the following conditions: ab = 37cm, ac = 26cm, angle b = 32.5°
Answers
Given the lengths of the two sides and the angle between them, only one triangle can be created under the given circumstances.
1. Given that angle B is 32.5°, side AB is 37 cm, side AC is 26 cm, etc.
2. Calculate side BC using the Law of Cosines:
BC = (2(AB)(AC)cosB) + (AB)(AC)2
3. Input the values that are known: BC = (37 2 + 26 2 - 2(37)(26)cos32.5°)
4. Condense: BC = (1369 plus 676 minus 1848 cos 32.5 °)
5. Determine BC =. (2095 - 1539.07)
6. Condense: BC = 556.93
7. Determine BC as 23.701 cm.
8. Since the lengths of the two sides and the angle between them are specified, only one triangle can be formed under the current circumstances.
By applying the Law of Cosines, we can determine the length of the third side, BC, given that side AB is 37 cm, side AC is 26 cm, and angle B is 32.5°. In order to perform this, we must first determine the cosine of angle B, which comes out to be 32.5°. Then, we enter this value, together with the lengths of AB and AC, into the Law of Cosines equation to obtain BC.BC = (AB2 + AC2 - 2(AB)(AC)cosB) is the equation. BC is then calculated by plugging in the known variables to obtain (37 + 26 - 2(37)(26)cos32.5°). By condensing this formula, we arrive at BC = (1369 + 676 - 1848cos32.5°). Then, we calculate BC as BC = (2095 - 1539.07), and finally, we simplify to obtain BC = 556.93. Finally, we determine that BC is 23.701 cm. Given the lengths of the two sides and the angle between them.
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Sx - 2y = 3
-5x + 4y = 9
Solve the system of equations.
es -
A)
x = 6, y = 3
B)
* = 6, y = 13
x = 3, y = 6
D)
x = 1, y = 0
Answers
Answer:
Yes
Step-by-step explanation:
If x = 5,then x^2 = 25 whats the converse
Answers
Explanation:
For the conditional format of "If P, then Q", the converse would be of the form "If Q, then P". We swap the roles of P and Q.
The original conditional "if x = 5, then x^2 = 25" is true because 5^2 = 25.
However, the converse is partially true. The x^2 = 25 leads to x = 5 or x = -5. We could say x = plus/minus 5
it is not 82 accidentally clicked it
Answers
Hi!
Your answer is 52.
To start off, let's start with some facts that will help us solve this:
Supplementary angles are two angles whose angle measures add up to 180 degrees. You can know that they are supplementary because they can be connected by a straight line.
Triangles (all of them) have angles that add up to 180 degrees.
We can start by using supplementary angles to solve. See where the angle of 67 degrees is? The one to the right of it is supplementary to it since they are on a straight line. That means their sum adds up to 180 degrees:
\(67 +?=180\)
\(?=113\)
That angle is 113 degrees.
Now, we have 2 out of 3 angles in the triangle. Since we know that triangles' angles add up to 180 degrees, we can make an equation:
\(15+113+x=180\)
\(128+x=180\)
\(x=52\)
Therefore, x is equal to 52.
A miniature soccer field is 5 yards wide and 10 yards long. how long is the distance from one corner to the opposite corner.
Answers
Answer:
no clue
Step-by-step explanation:
Find the area of a triangle with base of 10 inches and altitude to the base of 16 inches. 135 in 2 160 in 2 80 in 2
Answers
For a triangle with base of 10 inches and altitude of 16 inches, its area will be 80 in² (third option).
Calculation For the Area of the Triangle:
It is given that,
The base of the triangle, B = 10 inches
The altitude from the base of the triangle or height, H = 16 inches
Now, the formula used for finding the area of a triangle is given as follows,
Area, A = (1/2) × B × H
Substituting the given values of B and H in the above formula for area, we get,
A = (1/2) × (10 inches) × (16 inches)
A = 5 × 16 inches²
A = 80 inches²
Thus, the area of the triangle have base 10 inches and altitude 16 inches is 80 square inches.
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Simplify: 7.2(2.8r – 4.5s) + 9.34r – 1.25s
Answers
Answer:
29.5r - 33.65s
Step-by-step explanation:
.
During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by the equation s = 10│x - 4│+ 50 where s represents the sound level in decibels and x represents the number of measures of music played. Explain in words each step to find the following question:
At what number(s) measures played would the sound level be at 80 decibels?
Answers
Answer:qsq
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer to this is 1 or 7:
To find the range for the number of measures played to satisfy our solution, we must solve for x using s = 80.
Next, we subtract 50 from both sides of the equation.
Next, we divide both sides of the equation by 10
Next, to eliminate the absolute value bars, we will add a ± sign in front of our s value, 3.
Finally, we add 4 to both sides of our equation giving us 4 ± 3 = x
Separating this into two equations, we get 4 - 3 = x and 4 + 3 = x
Therefore, x, the number of measures of music played, must be either 1 or 7.
write this equation in factored form\(f(x)=2x^2-5x-3\)
Answers
Answer:
(x - 3) ( 2x+1)
Step-by-step explanation:
(x - 3) ( 2x+1)
2x^2 + x - 6x -3
2x^2 - 5x -3
So, my answer is right!
A bakery offers a sale price of 2.55 for 4 muffins.what is the price per dozen?
I hope someone answers fast
And explain what you did
Answers
Answer: $7.65 for a dozen/12
Step-by-step explanation: 2.55 x 3
Suppose P(A)= 0.20 and P(B/A) = 0.50. What is the joint probability of A and B?
*
a) 0.50
b) 0.70
c) 0.1
d) 0.30
Answers
The joint probability of A and B is (c) 0.1.
To find the joint probability of events A and B, we can use the formula:
P(A and B) = P(A) * P(B/A)
Given:
P(A) = 0.20
P(B/A) = 0.50
Using the formula, we can calculate:
P(A and B) = 0.20 * 0.50 = 0.10
Therefore, the joint probability of A and B is 0.10, which corresponds to option c) 0.10.
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71, X
The symbol U represents the union of two sets. What do you think the
notation represents?
Answers
The front wheel of a bicycle has a radius of 20 in, and the back wheel has a radius of 15 in. How many revolutions does the small wheel make for every 30 revolutions of the big wheel
Answers
The number of revolutions the small wheel make for every 30 revolutions of the big wheel is 40.
What is equality of dimensional analysis?The fundamental idea behind dimension is that only quantities that have the same dimensions can be added or subtracted.
Similarly, only if two physical quantities have the same dimensions can they be equal.
Let r be the radius of the small wheel = 15 in.
Let R be the radius of large wheel = 20 in.
Let n be the number of revolution made by small wheel.
Let N be the number of revolutions made by large wheel = 30.
According to the equality of dimension,
rn = RN
15×n = 20 × 30
n = 40
Therefore, the total number of revolution made by small wheel for every 30 revolutions of large wheel is 40.
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\(\sqrt{18}+\sqrt{50}\)
Answers
\(3\sqrt{2} +5\sqrt2}\\=8\sqrt{2}\)
Answer:
8√2
Step-by-step explanation:
Both 18 and 50 are easily factorable, the first as 2*9 and the second as 2*25. Taking the square root of 18 results in 3√2 and that of 50 in 5√2/
Thus, the original problem √18 + √50 simplifies to (3 + 5)√2, or 8√2
6. A lighting fixture manufacturer has daily production costs of c=0.25n²-10n+800, where C is the total
daily cost in dollars and n is the number of light fixtures produced.
a) Is the manufacturer's cost increasing or decreasing when they produce between 10 and 15 light fixtures?
Prove your claim with math. (2 pts)
b) Is the manufacturer's cost increasing or decreasing when they produce between 20 and 25 light fixtures?
Prove your claim with math. (2 pts)
Answers
By finding the average rate of change, we can see that:
a) The cost decreases.
b) The cost increases.
How to know when the cost is increasing or decreasing?
To check that, we need to find the average rate of change on the interval.
Remember that for function f(x) on an interval (a, b), the average rate of change is:
R = (f(b) - f(a))/(b - a)
Here the cost function is:
c(n) = 0.25*n² - 10n + 800
a) In the interval [10, 15] the average rate of change is given by:
R = (c(15) - c(10)/(15 - 10)
Where:
c(15) = 0.25*15^2 - 10*15 + 800 = 706.25
c(10) = 0.25*10^2 - 10*10 + 800 = 725
Then the average rate of change is:
R = (706.25 - 725)/(15 - 10) = -3.75
This means that between 10 and 15 light fixtures, the cost is decreasing.
b) Now we have the interval [20, 25], so let's do the same ting:
c(20) = 0.25*20^2 - 10*20 + 800 = 700
c(25) = 0.25*25^2 - 10*25 + 800 = 706.25
Here the average rate of change is:
R = (706.25 - 700)/(25 - 20) = 1.25
It is positive, which means that the cost is increasing.
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Ms. Applegate rented a car for a vacation. She had to pay $15 to rent the car. Then, she paid $10 per
day while she used the car. If the final bill was $45, how many days did Ms. Applegate rent the car
for?
Answers
Answer:
she used the car for 3 days
Step-by-step explanation:
1. = 10$
2. =10$
3. =10$
the rent was 15$ so 30 + 15 =45$
Answer:
yay i got the spam answerer reported
Step-by-step explanation:
$15,000 at 15% compounded annually for 5 years
A. $28,500.00
0
B. $30,170.36
C. $17.250.00
ОО
D. $26,250.45
Answers
Answer:
p=$15000
R=15%
t=5years
compound amount CI=?
Step-by-step explanation:
we have
CI=p(1+R/100)^t=$15000(1+15/100)^5=$15000×1/15^5=$30170.35The total amount of $15,000 at 15% compounded annually for 5 years will be $30,170.36 so option (B) is correct.
What is compound interest?Compound interest is applicable when there will be a change in principle amount after the given time period.
The rate at which compound interest accrues depends on the frequency of compounding.
For instance, if you offer someone $500 at a rate of 10% annually, $500 will be considered your principal sum. After a year, the interest will be $50, making the principle amount $550. Moving forward, the interest will be $550 rather than $500.
Given
Principle amount = $15000
Rate of interest = 15%
The time period T = 5 years.
Compound interest formula
A = P \([ 1 + R/100 ]^{T}\)
A = 15000 \([ 1 + 15/100 ]^{5}\)
A = $30,170.36 hence, the total amount after 5 year will be $30,170.36.
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b) The area of 4-walls and ceiling of a room is 118 m². If the room is 6 m long and 4 m high, find the breadth of the room.
Answers
Step-by-step explanation:
you can check the answer by putting 5 on the place of B... you will get the lateral surface area
118 m²...
hope it helps
Which sentence best describes an incentive for saving for education with a 529 plan?
A.
The income generated by a 529 plan is tax exempt.
B.
Colleges offer a reduced price for tuition paid for with funds from a 529 plan.
C.
There is no penalty if withdrawals are made for non-education-related expenses.
D.
The income generated by a 529 plan is tax deferred.
Answers
Answer:
A. The income generated by a 529 plan is tax exempt
Answer:
A The income generated by a 529 plan is tax exempt.
Step-by-step explanation:
I just took the master quiz 5/5
What is the product of 5/12 and 1/3
Answers
Answer:
5/6
Step-by-step explanation:
2×2+5×a3×3-7×2+5×-y
Answers
Answer:
15a^3 -5y -10
Step-by-step explanation:
Use PEMDAS to simplify and combine like terms
help pls I will give brainliest!
Answers
Answer:
We are missing 210
Step-by-step explanation:
3*4 = 12
3*70 =210
3*300=900
We are missing 210
Answer:
3 × 4 = 12
3 × 70 = 210
3 × 300 = 900
So, we are missing 210.
help plsssssssssssssssssssssss again
Answers
Answer:
35 degrees
Step-by-step explanation:
The lower quartile is the most left point of the box but not all the way to the whiskers
Toby and Ollie share some money in the ratio 5:2
a) What fraction of the money does Ollie get?
Ellis and Harri share some sweets.
Harri gets 1/5 of the sweets.
b) Write the ratio of the number of sweets Ellis gets
to the number of sweets Harri gets.
Answers
The total number of parts is 5+2 = 7.
Ollie's share is 2 out of 7 parts of the money.
Therefore, Ollie gets 2/7 of the money.
b) If Harri gets 1/5 of the sweets, this means that for every 1 part Harri gets, Ellis gets 4 parts, since:
1 + 4 = 5
The total number of parts is 5.
Therefore, the ratio of the number of sweets Ellis gets to the number of sweets Harri gets is:
4:1 or 4/1
five cars have a race. the honda beat the dodge but couldn't overtake the smart car. the mini failed to overtake the audi but beat the smart car. which car came first?
Answers
The average Honda beat the Dodge but couldn't pass the Smart Car, and the Mini couldn't pass the Audi, so the Audi won the race.
The Honda was able to defeat the Dodge but was unable to pass the Smart Car, so it was the Audi that arrived first in the race.
The Mini was then forced to settle for defeating the Smart Car after failing to pass the Audi. The Audi was the only vehicle that was able to stave off the competition and maintain its lead all the way to the finish line, making it the eventual race winner. Following the Audi in that order, the Honda, Dodge, Smart Car, and Mini were all overrun by the vehicle in front of them before the Mini was able to surpass the Smart Car and finish in fourth place.
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The data below shows the number of raisins in each of 14 boxes (1/2 oz.) of threedifferent brands of raisins: (8 points)Sun Tyrant: 25, 28, 25, 28, 29, 24, 28, 24, 24, 28, 30, 24, 22, 27Sun Acrid: 29, 31, 29, 26, 28, 22, 25, 29, 29, 27, 28, 23, 26, 29Laminatekist: 25, 26, 26, 26, 26, 28, 27, 26, 25, 28, 24, 28, 27, 25A. Compute the median, lower and upper quartiles, and interquartile range for each data set. NOTE: We are using the following definitions in this Assignment and course: when there's an odd number of observations in a group, the median is the middle number. When there's an even number of observations in a group, the median is (n+1)/2. The Interquartile Range, IQR, is Q3 - Q1, where Q3 is the median number of the top 50% and Q1 is the median of the bottom 50% of scores. (We are not using fences.) B. Construct three different modified box-and-whisker plots and place them on the same horizontal axis, labeling the axes, and labeling Q1, Q3, the median and the mean on the boxes. C. What conclusions can you make about the shape of the distributions by looking at the three box plots? Are the distributions symmetric or skewed in one direction? Justify your answer. D. For which brand are you more likely to end up with a box with a fewer raisins? Justify your answer.
Answers
For Sun Tyrant: Median: 27, Q1: 24, Q3: 28, IQR: 4
For Sun Acrid: Median: 28, Q1: 26, Q3: 29, IQR: 3
For Laminatekist: Median: 26.5, Q1: 25.5, Q3: 27.5, IQR: 2
A. To compute the median, lower and upper quartiles, and interquartile range for each data set, we first need to sort the data sets in increasing order.
Sun Tyrant: 22, 24, 24, 24, 25, 25, 27, 28, 28, 28, 28, 29, 30
Median: 27, Q1: 24, Q3: 28, IQR: 28 - 24 = 4
Sun Acrid: 22, 23, 25, 26, 26, 27, 28, 29, 29, 29, 29, 31
Median: 28, Q1: 26, Q3: 29, IQR: 29 - 26 = 3
Laminatekist: 24, 25, 25, 26, 26, 26, 26, 27, 27, 28, 28, 28, 28
Median: 26.5, Q1: 25.5, Q3: 27.5, IQR: 27.5 - 25.5 = 2
B. To construct three different modified box-and-whisker plots, we need to plot the median and the lower and upper quartiles on the same horizontal axis and draw the "whiskers" to represent the rest of the data. We can also add the mean if desired.
C. By looking at the three box plots, we can see that the shape of the distributions is not symmetric but rather skewed in one direction. This is indicated by the median, which is not in the center of the box, and the lower whisker being longer or shorter than the upper whisker.
D. Based on the box plots, it appears that Sun Tyrant has a smaller IQR, meaning the raisins in its boxes are more consistent. This also means that it is more likely to end up with a box with fewer raisins compared to the other two brands.
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Find the slope of given equation
Answers
Answer:
i am not sure i think its either c or b
Step-by-step explanation: