Using the law of cosines, a=2.2
Use your answer above to find m<B, to the nearest degree. m<B=__
Answers
Explanation:
1) Law of cosines:
In a triangle with sides a, b, c whose opposite angles are, respectively, A, B and C, the law of cosines states:
b² = a² + c² - 2 (a)(c) cos (B)
2) In the triangle of the figure you have
b = 4.0
B = ?
a = 2.2
c = 3.7
⇒ (4.0)² = (2.2)² + (3.7)² - 2 (2.2) (3.7) cos(B)
⇒ 16 = 4.84 + 13.69 - 16.28cos(B)
⇒ 16.28 cos(B) = 4.84 + 13.69 - 16 = 2.53
⇒ cos(B) = 2.53 / 16.28
⇒ X = arccos(2.53 / 16.28 ) = 81.06° ≈ 81°
Answer:
81
Step-by-step explanation:
Related Questions
mean median mode range on 83 75 74 40 85 64 23 68
Answers
In the given set, the mean is 64, the median is 66, there is no mode, and the range is 62.
To find the mean, median, mode, and range of the given set of numbers: 83, 75, 74, 40, 85, 64, 23, 68.
1. Mean:
[tex]\[ \text{Mean} = \frac{\text{Sum of all numbers}}{\text{Total number of numbers}} \][/tex]
[tex]\[ \text{Mean} = \frac{83 + 75 + 74 + 40 + 85 + 64 + 23 + 68}{8} \][/tex]
[tex]\[ \text{Mean} = \frac{512}{8} \][/tex]
[tex]\[ \text{Mean} = 64 \][/tex]
2. Median:
The median is the middle number when the numbers are arranged in ascending order.
Arranging the numbers in ascending order: 23, 40, 64, 68, 74, 75, 83, 85
Since there are 8 numbers, the median is the average of the two middle numbers:
[tex]\[ \text{Median} = \frac{64 + 68}{2} \][/tex]
[tex]\[ \text{Median} = 66 \][/tex]
3. Mode:
The mode is the number that appears most frequently.
In this set, there is no number that appears more than once.
So, there is no mode.
4. Range:
The range is the difference between the largest and smallest numbers.
[tex]\[ \text{Range} = \text{Largest number} - \text{Smallest number} \][/tex]
[tex]\[ \text{Range} = 85 - 23 \][/tex]
[tex]\[ \text{Range} = 62 \][/tex]
So, for the given set of numbers, the mean is 64, the median is 66, there is no mode, and the range is 62.
Write each of the following expressions without using absolute value. |z−7|−|z−9|, if z<7
Answers
[tex]\left\{ \begin{array}{rcl}-2&\mbox{for}&z < 7\\2(z-8)&\mbox{for}&7\le z\le9\\2&\mbox{for}&9 < z\end{array}\right\,[/tex]
the quotient of a number and 9 is equal to the same number decreased by 40. what is the number
Answers
x= the unknown number
The equation is x divided by 9 equals x minus 40.
x/9= x - 40
multiply both sides by 9
(9)(x/9)= (9)(x - 40)
x= 9x - 360
subtract 9x from both sides
-8x= -360
divide both sides by -8
x= 45
ANSWER: The number is 45.
Hops this helps! :)
which of the following is equal to the rational expression when x does not equal to 5 or -1
(x-7)(x+1)/(x+1)(x-5)
a- x+1/x-5
b-x-7/x+1
c- x+1/x-7
d- x-7/x-5
Answers
The expression that is equal to the rational expression when x does not equal to 5 or -1 is; (x - 7)/(x -5)
How to simplify Algebraic Expressions?
We want to simplify the algebraic expression;
(x - 7)(x + 1)/(x + 1)(x - 5)
Now, looking at the given expression, we see that (x + 1 ) is common to both numerator and denominator and as such they will cancel out to leave us with;
(x - 7)/(x -5)
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find the center and radius of the circle (x+8)^2+(y-2)^2=25
Answers
The center is at the point (h,k) and the radius is r
In the equation (x+8)^2+(y-2)^2=25,
Center = (-8, 2)
Radius = 5
Hope this helps. :)
Select whether the number is rational, irrational, or imaginary. 1/4
Answers
The correct answer should be rational.
Hope this helps!
The value of number 1 / 4 is a Rational number.
What is Rational number?A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.
We have to given that;
The number is,
⇒ 1 / 4
Now, Number 1 / 4 is of the form p / q (fraction form).
Hence, We can say that;
The value of number 1 / 4 is a Rational number.
Thus, It is a Rational number.
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what number is the opposite of 890
Answers
The opposite of 890 is -890, which means -890 added to 890 equals zero.
The opposite of a number is defined as a number that, when added to the original number, results in zero. To find the opposite of a number, you simply change its sign. If the number is positive, the opposite is negative, and if the number is negative, the opposite is positive. Therefore, the opposite of 890 is -890.
It costs $0.05 to send a text message and $0.10 to send a picture on your cell phone. You spend $4 and send five more text messages than pictures. How many text messages, x, and pictures, y, did you send?
Answers
x: text messages
Y: pictures
We write the system of equations:
0.05x + 0.10y = 4
x = y + 5
Solving the system we have:
x = 30
y = 25
Answer:
you send:
30 text messages
25 pictures
This is a problem of system of linear equations. We form two equations from the conditions given in the problem, and solve the system of equations to find the number of text messages and pictures sent.
Explanation:This is a problem of system of linear equations. Here are two conditions mentioned: The total cost and difference of number of text messages and pictures.
Let's denote the number of text messages as x and pictures as y as per your question.
From the cost, we have the equation: $0.05x + $0.10y = $4.
From the difference of the number of sent messages and pictures, we have: x = y + 5.
Now we can substitute x from the second equation into the first one, get the value for y, and calculate the value for x after. Here you have step-by-step solution for your problem.
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Find the length of CE
Answers
CE=CD+DE
in the right triangle EDF
cos 38°=EF/DE-----> DE=EF/cos 38°-----> DE=17/cos 38°----> DE=21.57 units
∠FDE=90-38----> 52°
∠BDC=∠FDE------> vertical angles
so
∠BDC=52°
in the right triangle BDC
cos 52°=BD/CD-------> CD=BD/cos 52°----> CD=10/cos 52°---> CD=16.24
CE=CD+DE----> CE=16.24+21.57----> CE=37.81 units
the answer is
the length of CE is 37.81 units
describe how a company that produce earphones can design a survey
Answers
1. Where do you usually use earphones? (Please select all that apply)
library
home
transportation
kitchen
driving/riding
Other
2. What are the purposes you use earphones? (Please select all that apply) learn language
listen to music
watch video
privacy concerns(show ‘don’t bother me’)
for beauty
Other
3. What kind of earphones you like the most?
circumaural
supra-aural
earbuds
in-ear
4. What are the reasons make you like the earphone you chose in question 3? (Please select all that apply)
appearance
comfortability
function(plays music well)
brand
price
portability
Other
5. Have you ever felt vulnerable or unsafe while wearing headphones and listening to music because you are not as aware of your surroundings?
yes
no
Q # 1 solve the problem
Answers
x = the number of adult tickets
y = the number of children's tickets
We write the inequality:
8x + 6y <= 172
The solution is the set of points that belong to the region shaded in the graph.
Answer:
8x + 6y <= 172
see attached image.
Explanation:
I am goind to teach you how to get that solution.
1) Restricctions: both x and y cannot be negative, i.e. x ≥ 0 and y ≥ 0
⇒ the solution is on the first quadrant.
2) Using the prices of the tickets, $ 8 for adults, and $ 6 for children, the linear equation for the costs is: cost = 8x + 6y.
3) Since the radio station is willing to spend a maximum of $ 172 you have the final restriction:
⇒ 8x + 6y ≤ 172.
4) Then the solutions that meet the three restrictions (x ≥0, y ≥ 0, and 8x + 6y ≤ 172) is found graphically by drawing the line 8 x + 6y = 172
5) To draw the line 8x + 6y = 172, use the axis intercepts:
x = 0 ⇒ y = 172/6 = 86/3 ⇒ point (0, 86/3)
y = 0 ⇒ x = 172/8 = 86/4 ⇒ point (86/4, 0)
6) Once you have the line you shade the region that is between the line and the two axis. That region contain of the possible solutions.
hey can you please help me posted picture of question
Answers
Discriminant = b² - 4ac
b = coefficient of x term = -9
a = coefficient of squared term = 4
c = constant term = 9
So, Discriminant = 81 - 4(4)(9) = -63
Since, the discriminant is negative, the equation will have complex zeros.This means its graph will not cross x-axis at any point.
So, the answer to this question is zero, option B
Q # 15 please solve
Answers
The slope of a parallel line is always 0, and the equation of the horizontal line can be expressed as:
y = c
where c is the x-intercept.
So 2nd option is the correct answer
HELP
Given right triangle ABC.
In the given right triangle, find the length of the hypotenuse, AB, if BC = 6 and AC = 5.
A.5
B.√36
C.√61
D.√11
Answers
A²+B²=C²
6²+5²=C²
36+25=C²
61=C²
√61=C
So the answer is C.
Answer:
Correct answer is option C (√61)
Step-by-step explanation:
in this question we have given a right triangle in which
∠C=[tex]90^{0}[/tex]
BC = 6 and AC = 5
we have to find the length of the hypotenuse, AB=?
To find the the hypotenuse we will apply Pythagoras theorem (According to Pythagoras theorem, "in a right angle triangle, square of hypotenuse is equal to the sum of square of other two sides")
In ΔABC by Pythagoras theorem
[tex]AB^{2}=AC^{2}+BC^{2}[/tex]...................(1)
put values of BC and AC in equation 1
[tex]AB^{2}=5^{2}+6^{2}[/tex]
[tex]AB^{2}=25+36[/tex]
[tex]AB^{2}=61[/tex]
AB=√61
if a horse weighs 500kg and a spider 1g how many spiders weigh the same as one horse??
Answers
First you have to put the horses weight into grams
There are 1000 kilograms in a gram
Multiply the horse weight by 1000 to get its weight in grams
500 * 1000 = 500000g
Divide the weight of the horse by the weight of the spider
500000 / 1 = 500000
The answer is 500,000 spiders
Hope this helps!
Nadine has 3 yard of ribbon to wrap birthday party favors if each favor use 1/5 yards of ribbon how many favors can nadine wrap
Answers
list all the possible whole number length and width of rectangles that darla can cut from the 400 square inch piece of paper
Answers
400 = 1 x 400
400 = 2 x 200
400 = 4 x 100
400 = 5 x 80
400 = 8 x 50
400 = 10 x 40
400 = 16 x 25
400 = 20 x 20
2(3y-1)3(y-4)=13 please show step by step
Answers
Which conversion requires multiplication? Use the metric table to help answer the question.
Answers
Ex: Kilometer to meter will be x1000
meter to centimenter is x100
BUT going up will be division
Meter to kilometer is /1000
Answer:
centimeters to kilometers
Step-by-step explanation:
A combination lock requires 4 selections of numbers, each from 1 to 20. • how many different combinations are there? • suppose that the lock is constructed in such a way that no number maybe used twice. how many different combinations are possible?
Answers
Answer: 116 280
kirsten has an area of 70 square feet for a flower garden she plants 5 varieties of flowers equally in her garden which ratio shows the square feet per flower type
Answers
The Ratio of the square feet to the per flower type is 14 : 1.
What is Ratio?A Ratio shows the relative size of two or more value.
According to the question,
Area of a flower garden = 70 square feet
Number of flower plants varieties = 5
Formula for Perimeter of square = 4a where 'a' is sides of a square
4(a) = 70
a=70/4
a=15
To find the Ratio of the square feet to the per flower type
70 : 5
14 : 1.
Hence, the Ratio of the square feet to the per flower type is 14:1
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A real estate broker sold your house for $189,000. The broker's commission was 4.5 percent of the selling price. How much would you get for the house after the commission is paid?
Answers
[tex]189000*[/tex]4.5%=[tex]189000* \frac{4.5}{100}=8505 [/tex]
Next we are going to subtract the broker's commission ($8505) from the selling price of your house:
[tex]189000-8505=180495[/tex]
We can conclude that you will get $180,495 from your house after the commission is paid.
the expression sinx + cotx cosx can be simplified to___. A. cotx B. cscx C. cosx sinx D. secx
Answers
Answer:
Solution-
∵ cotx = (cosx÷sinx)
∴ The given expression can be written as
sinx + cotx·cosx = sinx + ( cosx÷ sinx).cosx
⇒sinx +(cosx)²÷sinx = [ (sinx)² + (cosx)²] ÷ sinx
⇒ 1÷ sinx = cosecx = cscx
using the identity (sinx)²+(cosx)²=1
∴ option B is correct.
The students at Porterville Elementary sold raffle tickets, each for the same price, for a fundraiser. The equation below shows how much money was raised with the tickets sold. $1,760 = $20t. What is the unit rate in the equation above?
Answers
a _____ is a list of things where each thing appears only once and Order matters
Answers
Answer: Permutation
Permutation is a way, in which a set or number of things can be ordered or arranged. It is a listing where order matters and each thing in the list of things appears only once.
In Mathematics, permutation is the action of changing the arrangement of a set of items. .It is also called an "arrangement number" or "order
A Fermi estimate is an estimate of a very large number found by using geometry to estimate measurements of a real-world objects
True
or
False
Answers
False. A Fermi estimate doesn't rely on geometry. It's a method for approximating large numbers using basic assumptions and math.
False. A Fermi estimate is not reliant on geometry to estimate measurements of real-world objects.
Instead, it's a method for making quick, rough approximations of quantities or numbers, especially when precise data is unavailable or impractical to obtain. Named after physicist Enrico Fermi, this approach involves breaking down complex problems into simpler components, making reasonable assumptions, and using basic mathematics to arrive at an estimate.
While geometry might be employed in some cases, Fermi estimates primarily focus on leveraging broad understanding and educated guesses to reach ballpark figures rather than precise calculations based on specific measurements.
hey can you please help me posted picture of question
Answers
The cubic parent function is y = x³ , with no coefficients multiplied to x and with number added to or subtracted from x. Other cubic functions are a modified form of parent cubic function.
So, the answer is y = x³
Hey can you please help me posted picture of question
Answers
C. G(x)=x-6
The explanation is shown below:
You have that the patern function of the linear function is: F(x)=x. By definition, the patern function is the most basic function in the families of functions. If you have the linear function f(x)=x and you shifted it 6 units down, the function will be: f(x)=x-6, which inficates the it moves 6 units on the –y axis. Therefore, as you can see, the correct answer is the option mentioned above (The option C).
PLZ HELP NOOOOW!!
Sarah ran around a track 1 1/2 times. The track in 3/4 of a mile long.
How many miles did Sarah run?
Answers
To find the amount of miles Sarah ran, we need to multipy the length of the track by the times she run that distance.
[tex]1 \frac{1}{2} \times \frac{3}{4} = \frac{3}{2} \times \frac{3}{4} = \frac{9}{8} = 1 \frac{1}{8} [/tex]
Rembember: multiplying a fraction means you have to multiply the numerator by the numerator (of the other fraction) and the denominator by the denominator (of the other fraction)
The answer is 1 1/8 mile.
~ Hope this helps you!
Nina wants to put color tiles on a square three color tiles fit across the top of the square how many rows and Columns of the squares will Nina need how many color tiles will she use in all
Answers
Hope that helped