Answers
I believe the answers are, -1.25, and 1.25. (or the lines between 1 and 1.5, same with the negative side) Because the absolute value of -1.25 is 1.25. The absolute value of 1.25, is 1.25.
Hope this helped! ☺♥
Related Questions
A surveyor took the following measurements from two irregularly shaped pieces of land. Some of the lengths and angle measures are missing. Find all missing lengths and angle measures. Round lengths to the nearest tenth and angle measures to the nearest minute
Answers
To find angle D, we make use of the rule of Sines because we know the measure of the side opposite angle D and we also know the meansure another angle of the triangle with the measure of the side opposite the angle.
Thus, we find angle D as follows:
[tex] \frac{62}{\sin{D}} = \frac{51}{\sin{53^o}} \\ \\ \Rightarrow \sin{D}= \frac{62\sin{53^o}}{51}} \\ \\ = \frac{49.5154}{51} =0.9709 \\ \\ \Rightarrow D=\sin^{-1}{0.9709} \\ \\ =76.14^o=76^o8'[/tex]
Therefore, angle D is 76°8'
Part B:
To find angle E, recall that the sum of the angles in a triangle is 180°.
Thus, 53° + 76°8' + E = 180°
E = 180° - 53° - 76°8' = 50°52'
Therefore, angle E is 50°52'
Part C:
To find the measure of side e, we apply the cosine rule as follows:
[tex]e^2=51^2+62^2-2(51)(62)\cos{50^o52'} \\ \\ =2,601+3,844-2,098.85=3,991.25 \\ \\ \Rightarrow e=\sqrt{3,991.25}=63.18[/tex]
Therefore, the measure of side e is 63.2
Part D
To find angle G, we make use of the rule of Sines because we know the measure of the side opposite angle G and we also know the measure another angle of the triangle with the measure of the side opposite the angle.
Thus, we find angle G as follows:
[tex]\frac{80}{\sin{G}} = \frac{62}{\sin{49^o}} \\ \\ \Rightarrow \sin{G}= \frac{80\sin{49^o}}{62} \\ \\ = \frac{60.3768}{62} =0.9738 \\ \\ \Rightarrow G =\sin^{-1}{0.9738}=76.86^o=76^o52'[/tex]
Therefore, angle G is 76°52'
Part E:
To find angle H, recall that the sum of the angles in a triangle is 180°.
Thus, 49° + 76°52' + H = 180°
H = 180° - 49° - 76°52' = 54°14'
Therefore, angle H is 54°14'
Part F:
To find the measure of side a, we apply the cosine rule as follows:
[tex]a^2=80^2+62^2-2(80)(62)\cos{54^o14'} \\ \\ =6,400+3,844-5,798.10=4,445.90 \\ \\ \Rightarrow a=\sqrt{4,445.90}=66.68[/tex]
Therefore, the measure of side a is 66.7
Part G:
To find angle A, we make use of the rule of Sines because we know the measure of the side opposite angle A and we also know the measure another angle of the triangle with the measure of the side opposite the angle.
Thus, we find angle A as follows:
[tex]\frac{66.7}{\sin{A}} = \frac{30}{\sin{25^o54'}} \\ \\ \Rightarrow \sin{A}= \frac{66.7\sin{25^o54'}}{30} \\ \\ = \frac{29.1347}{30} =0.9712 \\ \\ \Rightarrow A =\sin^{-1}{0.9712}=76.21^o=76^o12'[/tex]
Therefore, angle A is 76°12'
Part H:
To find angle B, recall that the sum of the angles in a triangle is 180°.
Thus, 25°54' + 76°12' + B = 180°
B = 180° - 25°54' - 76°12' = 77°53'
Therefore, angle B is 77°53'
Part I:
To find the measure of side b, we make use of the rule of sines
Thus, we find side b as follows:
[tex]\frac{b}{\sin{77^o53'}} = \frac{30}{\sin{25^o54'}} \\ \\ \Rightarrow b= \frac{30\sin{77^o53'}}{\sin{25^o54'}} \\ \\ = \frac{29.3317}{0.4368} =67.15[/tex]
Therefore, the measure of side b is 67.2
To find the width of the river, use trigonometry and the tangent function. The width of the river is approximately 67.1 meters.
Explanation:To find the width of the river, we can use trigonometry. The surveyor measured an angle of 35° from the baseline to the tree on the opposite bank. We know the distance along the river is 100 m. Let's denote the width of the river as 'x'.
We can use the tangent function to solve for 'x'. The tangent of the angle is equal to the opposite side divided by the adjacent side. In this case, the opposite side is 'x' (the width of the river) and the adjacent side is 100 m (the distance along the river).
So, the equation becomes:
tan(35°) = x/100
To find the value of 'x', we can multiply both sides by 100:
x = 100 * tan(35°)
Using a calculator, we can find that x is approximately 67.1 m. Therefore, the width of the river is approximately 67.1 meters.
What is 5.8×2.4?
Show your work
What grade if u like this you will get 24 points
.
.
Answers
1. put 5.8*2.4 into a standard algorithm. which will look like this.
5.8
x 2.4
---------
232
+1160
--------
13.92 hope that helped
Can someone help me if anyone know. Please, thanks
Answers
What is a transformation and 3 types of transformations.
Answers
There are four transformations
translation
rotation
reflection
dilation
translation, rotation and reflection do not change the shape or the size of the shape and are known as rigid motions
The four types:
Dilation: Change of size.
Rotation: A clockwise turn in each of the four quadrants in a graph.
Translation: Simply relocating the shape.
Reflection: Mirroring the shape across either the y or x axis.
Hope that helps!
Jackie deposited $315 into a bank account that earned 1.5% simple interest each year.
If no money was deposited into or withdrawn from the account, how much money was in the account after 3 years?
Round your answer to the nearest cent.
Enter your answer in the box.
Answers
Answer: Its 329.18 just took a test.
Cell phones can weigh as little as 2 ounces. How many pounds can the cell phone weigh?
Answers
2/16= .125
.125 pounds
A cell phone weighing 2 ounces translates to 0.125 pounds, since there are 16 ounces in one pound.
Explanation:Cell phones can weigh as little as 2 ounces. The first step in determining how much a cell phone can weigh in pounds is to know the conversion factor between ounces and pounds. Since there are 16 ounces in one pound, you can divide the weight of the cell phone in ounces by 16 to convert it to pounds. For a cell phone that weighs 2 ounces:
Divide the weight in ounces by 16 to convert to pounds: 2 ounces ÷ 16 = 0.125 pounds.Therefore, a cell phone that weighs 2 ounces is equivalent to 0.125 pounds.
The top of a 22-foot ladder rests against the top of an 18-foot wall. If the base of the ladder is on the same ground level as that of wall, what angle does the ladder form with the ground? Express your solution to the nearest degree.
Answers
sin A = 18/22
A = 54.9 degrees
55 to nearest degree
Answer:
Step-by-step explanation:
Given that The top of a 22-foot ladder rests against the top of an 18-foot wall.
The ladder, the wall and the floor together make a right angled triangle with hypotenuse as ladder.
Thus we have a right triangle with hypotenuse = 22 ft
and the side of the wall = 18
The required angle is the angle the ladder form with the ground.
Hence we have if x is the angle
[tex]sin x =\frac{Opposite}{Hypotenuse} =\frac{18}{22}[/tex]
From this we can find the angle X
X = sin inverse of 18/22
X=54.9
Round it off to X=55 degrees
Each morning librarians place 560 books on a book shelf in the school library. Each student that visits library that day takes exactly 3 books from this shelf. Let s be the number of students which visit library on a particular day. Let b be the number of books left on the shelf at the end of that day. a How does the number of books left on the shelf depend on number of students visiting library? Find formula for the function b(s).
Answers
How does the number of books left on the shelf depend on the number of students visiting the library ?
well..if each person takes out 3 books....lets say 10 people came into the library....that would mean (3 * 10) = 30 books would be checked out...but if only 5 people came, then (3 * 5) = 15 books would be checked out. I dont know how else to explain it. The more people that visit, the more books will be checked out.
The relationship between the books and the students is an illustration of a linear function
The formula for the function is: [tex]b(s) = 560 - 3s[/tex]
From the question, we have:
[tex]b = 560[/tex] --- number of books in the morning
[tex]r = 3[/tex] ---- the number of books per students
So, the number of books as a function of number of students is:
[tex]b(s) = b - r \times s[/tex]
Substitute known values
[tex]b(s) = 560 - 3 \times s[/tex]
[tex]b(s) = 560 - 3s[/tex]
Hence, the formula for the function is:
[tex]b(s) = 560 - 3s[/tex]
Read more about linear functions at:
https://brainly.com/question/20286983
Suppose θ is an angle in the fourth quadrant with cosθ=x/4. Find expressions for the other five trig functions in terms of x?
Answers
now, we know the angle is in the IV quadrant, that means, the cosine is positive and the sine is negative, or "x" is positive whilst "y" is negative.
[tex]\bf cos(\theta )=\cfrac{\stackrel{adjacent}{x}}{\stackrel{hypotenuse}{4}} \\\\\\ \textit{using the pythagorean theorem}\\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-a^2}=b\qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{4^2-x^2}=b\implies \stackrel{IV~quadrant}{-\sqrt{16-x^2}=b}\\\\ -------------------------------[/tex]
[tex]\bf sin(\theta)=\cfrac{-\sqrt{16-x^2}}{4} \qquad cos(\theta)=\cfrac{x}{4} \qquad % tangent tan(\theta)=\cfrac{-\sqrt{16-x^2}}{x} \\\\\\ % cotangent cot(\theta)=\cfrac{x}{-\sqrt{16-x^2}} \qquad % cosecant csc(\theta)=\cfrac{4}{-\sqrt{16-x^2}} \qquad % secant sec(\theta)=\cfrac{4}{x}[/tex]
now, for the cotangent and the cosecant, let's rationalize the denominator,
[tex]\bf cot(\theta)=\cfrac{x}{-\sqrt{16-x^2}}\cdot \cfrac{\sqrt{16-x^2}}{\sqrt{16-x^2}}\implies cot(\theta)=-\cfrac{x\sqrt{16-x^2}}{16-x^2} \\\\\\ csc(\theta)=\cfrac{4}{-\sqrt{16-x^2}}\cdot \cfrac{\sqrt{16-x^2}}{\sqrt{16-x^2}}\implies csc(\theta)=-\cfrac{4\sqrt{16-x^2}}{16-x^2}[/tex]
write in logarithmic form
6^2=36
Answers
The 6 is gonna be on the bottom of the g.
The conversion of the expression 6^2=36 into logarithmic form results in log6(36) = 2. This method involves identifying the base (6), the exponent (2), and the result (36) in the original exponential equation.
Explanation:In mathematics, you can interchange between an exponential form and a logarithmic form. Your given expression is 6^2=36, which is in exponential form.
To change this into logarithmic form, identify the base (which is 6 in this case), the exponent (which is 2), and the result (which is 36). The logarithmic form of the equation would then be 'log base 6 of 36 is 2'.
So, written in the usual mathematical notation, your answer would be log6(36) = 2. Here, 'log' stands for logarithm; the number following 'log' (6 in this case) is the base, the term within parentheses (36 in this case) is the number we're taking log of, and '2' is the value of the logarithm.
Learn more about Conversion from Exponential to Logarithmic form here:https://brainly.com/question/23575831
#SPJ3
Which is the better estimate of the weight of a football helmet
Answers
Probably 3 - 5 pounds.
Hope this helps :))
~Top
The depths of water, at the edge of a pier, at different times of day, are represented by the table below. Which of the following functions best models the depths of the water?
Answers
Unfortunately, the two only ways to solve this problem are to either graph all the options or plug in time values for x and see which agrees the most with the tide chart. Both are time-consuming, but I chose to graph each one with a graphing application.
Plugging in a few values for x confirms that C is the best function.
12pm (x=0)
y = 4.75 * cos(0 - 2.08) + 7.65
y = 5.334
2pm (x=2)
y= 6.5
4pm (x=4)
y=12.4
It is not a perfect representation, but the shape of the graph and closeness to the points given is the best of the four options provided.
The Fenton College Cougars made 40 field goals in a recent basketball game some 2 pointers and the rest 3 pointers. Altogether the 40 baskets counted for 89 points. how many of each type of field goal was made?
Answers
x + y = 40.....x = 40 - y
2x + 3y = 89
2(40 - y) + 3y = 89
80 - 2y + 3y = 89
-2y + 3y = 89 - 80
y = 9 <=== there were 9 three-point shots
x = 40 - y
x = 40 - 9
x = 31 <=== there were 31 two-point shots
Find three points that solve the equation , -5x-3y=-7
Answers
[tex]- \frac{7+5x}{-3} =y[/tex]
To make this really simple, we can make 7+5x equal to factors of -3. For example, -3*2=-6. If we have 7+5x=-6, we can subtract 7 to both sides to get -13=5x. Next, we can divide both sides by 5 to get x=-13/5. Since 7+5x=-6, we can plug that into
[tex]- \frac{7+5x}{-3} =y[/tex]
to get (-6)/(-3)=2=y. I challenge you to find the other two points on your own - good luck!
Which of these is equivalent to 3-23-2?
Answers
Answer:
-22
Step-by-step explanation:
This is a case of directed numbers. The numbers 23 and 2 carry negative signs like this:
- 23
- 2
Therefore, adding these negative numbers gives -23 - 2 = -25
Adding the sum to 3 gives: 3 - 25 = -22
What is the value of the 4 in 24,659
Answers
Place values are according to the digits...
So...
20000+4000+600+50+9=24,659
The value of 4 in the given number is 4000.
The given number is 24,659.
What is the place value?Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.
In the given number 24,659, 4 is in thousands place.
So, the value of 4 is 4000
Therefore, the value of 4 in the given number is 4000.
To learn more about the place value visit:
https://brainly.com/question/21467438.
#SPJ2
Each package of dried fruit contains 3/16 of a pound Mr. Lopez has 4 pounds of dried fruit How many packages can he fill
Answers
Final answer:
Mr. Lopez can fill 21 full packages of dried fruit, each containing 3/16 of a pound, with his 4 pounds of dried fruit.
Explanation:
The question asks how many packages of dried fruit Mr. Lopez can fill if each package contains 3/16 of a pound and he has 4 pounds of dried fruit. To answer this, we need to perform a division to find out how many 3/16 are in 4 pounds.
To solve this, we divide 4 pounds by 3/16 pounds per package:
4 ÷ (3/16) = (4/1) ÷ (3/16) = (4 × 16) / 3 = 64/3 = 21 with remainder 1.
Therefore, Mr. Lopez can fill 21 full packages of dried fruit and will have a little left over which is not enough to fill an additional full package.
which types of angels are not congruent?
Answers
Choose the best answer. Which of the following is not a type of savings account? A.passbook account
B.statement account
C.club account
D.automatic account
Answers
I believe the best answer to this question would be D. Club account, because there was something called "Christmas club account" during the Great Depression. Now, it's a savings program, so you could save that it's technically not a savings account.
I really hope this helped you! :)
Answer with explanation:
Saving Account →A savings account is a type of bank account in which you can keep extra money possessed by you in an institution, which is most safest place,The money you get as an interest is proportional to amount of money deposited in that institution.
A. Passbook Account : A Passbook Savings account is also a saving account,in which you get interest for your deposit and also get a passbook for easy record keeping.
B.Statement account : It is also a saving account,in which you get statement for your credit and debit in your account.
C. Club Account: In this type of Saving account, you deposit money for your future investment or for any future purpose by a group.You have to deposit and withdraw money within a certain time frame.
D. Automatic account: In this type of account , money is transferred to it's customers automatically in their accounts by a certain process. It is not a saving Account.
Option 4→: Automatic Account : is the type of account which is not a saving Account.
What is the differentiation of f(x) =2x^4/5?
Answers
notice, the 2/5 is just a "scalar" value, so you can just get the derivative of the variable part and slap the scalar as its factor.
A hair salon charges fixed rate of $25.00 for a haircut and then an additional $15.00 for any other services. Write a function to model cost of services there and then determine how many services you had if you were charged for $115.00
Answers
Answer:
f(x) = 15x + 25; f(6) = 115
Step-by-step explanation:
the flat rate of $25 will be the y-intercept and the slope will be $15. since u are charged $115, plug that in for f(x) and solve for x. so the right answer is
f(x) = 15x + 25; f(6) = 115
Name the triangle with the following characteristics. Sides: 5 cm, 5 cm, 7 cm.
A. scalene triangle B. acute triangle C. isosceles triangle D. right triangle
HELP ASAP
Answers
Texaschic101
Help please
Answers
Obviously the mean and median aren't shown.
So in this case it would be the first one, since the second bar isn't including 9, so it wouldn't include 9, so we wouldn't know how many of 10-14 are 9s, so we don't know that.
So it would have to be the first one.
What's the Estimate of 615-342
Answers
Final answer:
To estimate the difference between 615 and 342, round each number to the nearest ten or hundred and subtract. Rounding to the nearest hundred gives an estimate of 300, while rounding to the nearest ten gives an estimate of 280.
Explanation:
To estimate the difference between 615 and 342, you can round each number to the nearest ten or hundred and then subtract the rounded numbers. Here's the step-by-step process:
Round 615 to the nearest hundred, which gives you 600.Round 342 to the nearest hundred, which gives you 300.Subtract the rounded numbers: 600 - 300 = 300.This gives an estimate of the difference between 615 and 342 as 300.
If you prefer to round to the nearest ten instead, you'd get:
Round 615 to the nearest ten, which gives you 620.Round 342 to the nearest ten, which gives you 340.Subtract the rounded numbers: 620 - 340 = 280.In this case, the estimate would be 280. You can choose the level of precision you want in your estimate based on how you round the numbers.
An audio cable is 15.7dm long. How long is the cable in meters?
Answers
For each lettered part, a through c, examine the two given sets of numbers. without doing any calculations, decide which set has the larger standard deviation and explain why. then check by finding the standard deviations by hand. set 1 set 2
a.4, 7, 7, 7, 10 4, 6, 7, 8, 10
b.100, 140, 150, 160, 200 10, 50, 60, 70, 110
c.10, 16, 18, 20, 22, 28 48, 56, 58, 60, 62, 70
Answers
a. Set 2 has larger standard deviation.
b. Set 1 and set 2 have same standard deviation.
c. Set 2 has larger standard deviation.
a. Set 1: 4, 7, 7, 7, 10
Set 2: 4, 6, 7, 8, 10
It seems like Set 2 might have a larger standard deviation because the numbers are more spread out from the mean (which appears to be around 7).
The set 3 has larger standard deviation.
For Set 1:
Mean = (4 + 7 + 7 + 7 + 10) / 5
= 7
Standard Deviation = ([tex]\sqrt{\frac{(4-7)^2 + (7-7)^2 + (7-7)^2 + (7-7)^2 + (10-7)^2)}{5}[/tex]]
= 1.89
For Set 2:
Mean = (4 + 6 + 7 + 8 + 10) / 5
=7
Standard Deviation = ([tex]\sqrt{\frac{(4-7)^2 + (6-7)^2 + (7-7)^2 + (8-7)^2 + (10-7)^2)}{5}[/tex]]
= 2
Hence, set 2 has larger standard deviation.
b. Set 1: 100, 140, 150, 160, 200
Set 2: 10, 50, 60, 70, 110
Here, Set 1 seems to have same standard deviation as set 2.
For set 1:
Mean = (100 + 140 + 150 + 160 + 200) / 5 = 150
Standard Deviation =[tex]\sqrt{\frac{(100-150)^2 + (140-150)^2 + (150-150)^2 + (160-150)^2 + (200-150)^2)}{5}}[/tex]
= 32.24
For set 2:
Mean = (10 + 50 + 60 + 70 + 110) / 5
= 60
Standard Deviation = [tex]\sqrt{\frac{(10-60)^2 + (50-60)^2 + (60-60)^2 + (70-60)^2 + (110-60)^2)}{5}}[/tex]
=32.24
Hence, set 1 and set 2 have same standard deviation.
c. Set 1: 10, 16, 18, 20, 22, 28
Set 2: 48, 56, 58, 60, 62, 70
Set 2 generally has larger values, suggesting that it could have a larger standard deviation because the mean is larger for set 2.
For Set 1:
Mean = (10 + 16 + 18 + 20 + 22 + 28) / 6
= 19
Standard Deviation = [tex]\sqrt{\frac{(10-19)^2 + (16-19)^2 + (18-19)^2 + (20-19)^2 + (22-19)^2 + (28-19)^2)}{6}}[/tex]
= 5.50
For Set 2:
Mean = (48 + 56 + 58 + 60 + 62 + 70) / 6
= 58.33
Standard Deviation = [tex]\sqrt{\frac{(48-58.33)^2 + (56-58.33)^2 + (58-58.33)^2 + (60-58.33)^2 + (62-58.33)^2 + (70-58.33)^2)}{6}}[/tex]
=6.641
Hence, the second set have the larger standard deviation.
To learn more on Statistics click:
https://brainly.com/question/30218856
#SPJ12
what is the exact of the expressions square root of 180 - square root of 125 + square root of 5
Answers
The exact value of the expression √180 - √125 + √5 simplifies to 2√5, by combining like terms after simplifying each square root separately.
The exact value of the expression [tex]\sqrt{180}[/tex] - [tex]\sqrt{125}[/tex] + [tex]\sqrt{5}[/tex] can be calculated by simplifying each square root separately. Firstly, the [tex]\sqrt{180}[/tex] can be simplified to 6√5, because 180 = 36 × 5, and 36 is a perfect square whose square root is 6. Similarly, the [tex]\sqrt{125}[/tex] simplifies to 5√5, since 125 = 25 × 5 and the [tex]\sqrt{25}[/tex] is 5. The [tex]\sqrt{5}[/tex] remains as it is because it cannot be simplified further.
The expression then becomes 6√5 - 5√5 + √5. Now, we combine like terms. Since all terms involve the [tex]\sqrt{5}[/tex], we can combine them as follows: (6 - 5 + 1)√5, which simplifies to 2√5. Therefore, the exact value of the expression is 2√5.
Area of 100 3/4 feet x 75 1/2 feet?
Answers
25 x 3 x 75 1/2. (Divided by 4 to 100 and 4 to get 25)
25 x 3 x 75 1/2 ( multiple everything on top)
5625/2 ( then divided normally)
2812.5 or 2812 1/2
There are 117 staff members in your school. 1/3 of them are going away for the Thanksgiving holiday. How many staff members are not traveling?
This was the main question but i didnt get how to solve it.. (wasnt sure if subtraction was thr right way)
Answers
117 - 39 = 78
78 staff members are not leaving for Thanksgiving.
Take apart an addend to solve 35+27
Answers
35 + 27
= 32 + 3 + 27
= 32 + 30
= 62