Answer:
○ [tex]\displaystyle 12,9[/tex]
Step-by-step explanation:
Use the Law of Sines to find the length of the second edge:
Solving for Angles
[tex]\displaystyle \frac{sin\angle{C}}{c} = \frac{sin\angle{B}}{b} = \frac{sin\angle{A}}{a}[/tex]
Use [tex]\displaystyle sin^{-1}[/tex]towards the end or you will throw your result off!
Solving for Edges
[tex]\displaystyle \frac{c}{sin\angle{C}} = \frac{b}{sin\angle{B}} = \frac{a}{sin\angle{A}}[/tex]
Let us get to wourk:
[tex]\displaystyle \frac{a}{sin\:40} = \frac{10}{sin\:30} \hookrightarrow \frac{10sin\:40}{sin\:30} = x; 12,855752194... \\ \\ \boxed{12,9 \approx x}[/tex]
I am joyous to assist you at any time.
Lucy wants to make a confidence interval to estimate the true mean wait time explain throughly why Lucy has or has not satisfied the normal condition for contstructing a confidence interval
The confidence interval would help Lucy determine the probability that a parameter will fall between two values around the mean.
How to determine the normal condition for the confidence interval?The question is incomplete, as the needed parameters to answer the question are missing.
So, I will list the normal conditions for constructing the confidence interval
The condition for constructing the confidence interval include:
The sample must be a random sampleThe variables must be independenceThe samples must be a large sample i.e. 30 or greaterThe sample size should be less than or equal to 10% of the population sizeRead more about confidence interval at:
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5/6-(2/3-4/9)= (5/6-2/3)-4 is this equal
This equation is False.
5/6-(2/3-4/9) = 11/18
(5/6-2/3)-4 = -23/6
Showing two different answers, so no they are not equal.
Is the length of the hypotenuse of a right triangle with legs that mea-
sure 5 cm and 6 cm a rational number or an irrational number? Justify
your answer. Answer in complete sentences and indude all relevant calculations
1) Which of the following has a probability of 0?
1. Rolling a 1 on a standard die
2.Flipping tails on a standard coin
3.Rolling a sum of 20 with two standard dice
4.Rolling a sum of 5 with two standard dice
Answer:
3. rolling a sum of 20 with two standard dice
Step-by-step explanation:
If something has a probability of 0 then there is no chance of it happening
A standard die goes up to 6. The max sum you can get by rolling two dice would be 12 as 6 + 6 = 12. So you have no chance of rolling a sum of 20 with two standard dice therefore the probability would be 0.
PLS HELP I'LL MARK BRAINLIEST
Answer:
Domain: (-∞, -5) ∪ (-1, ∞)
Step-by-step explanation:
Note:
For f(x) > 0: See the points of x for which the graph of f(x) lies above the x-axis.
For f(x) < 0: See the points of x for which the graph of f(x) lies below the x-axis.
We need to find the domain of f(x) for which f(x) < 0
From the graph, we can tell:
f(x) < 0 on (-∞, -5) ∪ (-1, ∞)
Therefore: The domain on which the given graph f(x) is negative, is (-∞, -5) ∪ (-1, ∞)
Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function C(m) = 0. 05m 20, where m is the number of minutes used. What are the domain and range of the function C(m)?.
The domain of the function C(m) = 0.05m + 20 is (0, ∞) and the range of the function C(m) = 0.05m + 20 is (20, ∞).
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function
[tex]\rm C(m) = 0.05\ m + 20[/tex]
The domain of the function is from zero to infinity because time can never be negative.
Then the range of the function will be
At m = 0, the value of C(m) will be
C(m) = 0.05(0) + 20
C(m) = 20
At m = ∞, the value of C(m) will be
C(m) = 0.05(∞) + 20
C(m) = ∞
Thus, the domain of the function is (0, ∞) and the range of the function is (20, ∞).
More about the linear system link is given below.
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Put the following items in order from most expensive to least expensive. Item Base Price Change Direction Blender $29. 73 9% Markdown Hat $14. 16 77% Markup Ink $20. 17 27% Markup Heater $28. 46 22% Markdown a. Blender, heater, ink, hat b. Blender, ink, hat, heater c. Ink, hat, blender, heater d. Ink, heater, blender, hat.
Putting the considered items in order from most expensive to least expensive item gives the order as shown by: Option b. Blender, ink, hat, heater
What is Markup and Markdown?Markup is the amount that will be increased in the original price of the considered thing.
Markdown is the amount that will be decreased from the original price of the considered thing.
Think of "up" and "down" as increasing and decreasing prices respectively.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For this case, the base prices and the chage in price is given as:
Item Base Price Change Direction
Blender $29.73 9% Markdown
Hat $14.16 77% Markup
Ink $20.17 27% Markup
Heater $28.46 22% Markdown
Calculating the resultant price:
Case 1: Blender:Resultant price = 29.73 - 9% of 29.73
[tex]P= 29.73 - \dfrac{29.73}{100}\times 9\\\\P = 27.0543 \: \: \text{dollars}[/tex]
Case 2: Hat:Resultant price = 14.16 + 77% of 14.16
[tex]P= 14.16+\dfrac{14.16}{100}\times 77\\\\P = 25.0632\: \: \text{dollars}[/tex]
Case 3: Ink:Resultant price = 20.17 + 27% of 20.17
[tex]P= 20.17+\dfrac{20.17}{100}\times 27\\\\P = 25.6159\: \: \text{dollars}[/tex]
Case 4: Heater:Resultant price = 28.46 - 22% of 28.46
[tex]P= 28.46- \dfrac{28.46}{100}\times 22\\\\P = 25.0448 \: \: \text{dollars}[/tex]
Thus, putting the considered items in order from most expensive to least expensive item gives the order as shown by: Option b. Blender, ink, hat, heater
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How long is 10% of a 24-hour day?
Answer:
2.4 hour is 10%
Step-by-step explanation:
Because 10% is equal to 0.1 24÷ 10% =2.4
Which of the following equations could be used to solve for the tenth term of the following sequence? 15,13,11,9,… A(10)=15+10(-2), A(10)=15+9(-2),A(10)=15+10(2),A(10)=15+9(2)
Answer:
the first one
Step-by-step explanation:
(b) A line has the equation y = 6x + 11
Does the point (-3,15) lie on the line? Explain you answer as fully as possible
Hi, to begin, the ordered pair value (-3, 15) has an x-value of -3. So, to see if it lies on the line of your equation y = 6x + 11, plug -3 in for x. This gives you y = 6(-3) + 11 = -7 So the ordered pair answer for this would be (-3, -7) and not (-3, 15). So the answer is no.
Hey there!
-----------------------_----------_---------Find the measure of
What is the following product?
30. 10
2.110
3.10
4./10
10/5
Step-by-step explanation:
300220302/5=0.42Hope it helps you
Calculate the angle of the incline from the diagram. Answers have been rounded to the nearest tenth of a degree.
A. 32.2°
B. 40.2°
C. 49.8°
D. 57.8°
Answer:
40.2
Step-by-step explanation:
Let's see
[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{11}{13}[/tex]
[tex]\\ \rm\rightarrowtail tan\theta=0.846[/tex]
[tex]\\ \rm\rightarrowtail \theta=tan^{-1}(0.846)[/tex]
[tex]\\ \rm\rightarrowtail \theta=40.2^{\circ}[/tex]
4x^2−24x
that is a 4x to the second power thanks you people are so helpful oh yeah factor it thats it
Answer:
See below.
Step-by-step explanation:
4x^2-24x
Find the GCF.
4 - 1, 2, 4
24 - 1, 2, 3, 4, 6, 8, 12, 24
The GCF of x^2 and x is x.
The complete GCF is 4x.
4x(x-6)
-hope it helps
Please help ASAP
I'll mark Brainliest
John bought a crate of floor tiles $100. the crate had 5 boxes of floor tiles. each box contained 40 floor tiles. what is the cost per box ?
Answer:
20
Step-by-step explanation:
100/5=20
Evaluate the following expression: (2,3)-3(1,1). Enter your answer as a vector
Answer:
Step-by-step explanation:
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the given expression(2,3) - 3(1,1) in vector form is (-1, 0).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
The given expression can be solved as shown below.
(2,3) - 3(1,1)
Multiply 3 in the second vector,
= (2,3) - (3,3)
Subtracting vectors
= (2-3, 3-3)
= (-1, 0)
Hence, the value of the given expression(2,3) - 3(1,1) in vector form is (-1, 0).
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What is the volume in cubic meters of the rectangular prism that is 4 meters tall, 212 meters wide, and 8 meters long?
Help
7. Add or subtract the following polynomials:
a. 5x2 + 3y3 - 4x2 =
b. y3 + 2y3 - 8 + 2 =
c. 9-3x - 4x + 2x - 12 =
d. -6t + 4+2 -16 + 7+ - 4+2 =
Answer:
a. [tex]x^{2} + 3y^{3}[/tex]
b. [tex]3y^{3} -6[/tex]
c. [tex]5x -3[/tex]
d. -6t - 5
Step-by-step explanation:
When a number has the same variable as another, you can add or subtract them
So for the first one, you can do
[tex]5x^{2} -4x^{2} = 1x^{2} = x^{2}[/tex]
(But don't forget the [tex]3y^{3}[/tex]!)
So it is:
[tex]x^{2} + 3y^{3}[/tex]
Continue this process for the rest of them
Devon’s favorite applesauce recipe calls for 2 teaspoons of cinnamon for every 3 apples. There is a proportional relationship between the number of apples
Answer:
3x=2y
Explanation:
There is a proportional relationship between the number of apples and teaspoons of cinnamon that is 3x = 2y.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Given that Devon’s favorite apple sauce recipe calls for 2 teaspoons of cinnamon for every 3 apples.
Now, let x be the number of apple and y be the teaspoons of cinnamon
the proportion are;
x/2 = y/3
Therefore, the proportional relationship between the number of apples and teaspoons of cinnamon is
3x=2y
More can be learned about proportions at;
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A carpenter is making a circular tabletop with a circumference of 4.5 yards.
What is the radius of the tabletop in to the nearest centimetre?
What is the value of c
Answer:
x = 49º
Step-by-step explanation:
This is right angle, and right angle's are always a 90º angle. 90º - 41º is 49.
So the basic answer is 49, but it's properly written as "49º".
Hope this helps!!
The value of x: 49 degrees
Note: All the angles in a triangle add up to 180 degrees
What we're given:
41 degrees, A right angle, and x.
A right angle is 90 degrees.
Equation:
41 + 90 + x = 180
131 + x = 180
x = 49 degrees
What is the total amount paid for a $60 meal with a 15% tip and 8% tax?
Answer:
I believe it would be 73.8 or if they are rounding up 74.
Step-by-step explanation:
15% of 60 is *9* and 8% of 60 is *4.8*
9+4.8=13.8
13.8+60=73.8.
An equation of a line through (1, 1) which is parallel to the line y = − 4 x 3 has slope:
Step-by-step explanation:
slope -4
equation of line = (y-y1)=m(x-x1)
eq. = (y-1)= -4(x-1)
y-1=-4x+4
4x+y=5slope of this line is -4x
MARK ME AS BRAINLIST3 is 9 greater than an unknown number
find unknown number
-6
Step-by-step explanation:
First we see 3 is greater than the subject so 3<x 3-9 = -6
Mr. endres wants to put fencing around his rectangular shaped backyard. the width of the backyard is 42 feet and the length is two times the width. how many feet of fencing does mr. endres need?
The the number of feet needed for the fence of the rectangular garden = its perimeter = 252 ft.
What is the Perimeter of a Rectangle?Perimeter = 2(length + width).
The number of feet needed for the fence around the rectangular garden = perimeter of teh rectangular garden.
Given the following:
Width = 42 ft.Length = 2(42) = 84 ft.Plug the values into Perimeter = 2(length + width):
Perimeter of the rectangular garden = 2(42 + 84)
Perimeter of the rectangular garden = 252 ft
Therefore, the the number of feet needed for the fence of the rectangular garden = its perimeter = 252 ft.
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x - 3y - 3 = 0
3x - 9y - 2 = 0
Answer: no solution
x - 3y = 3 --------> (1)
3x - 9y - 2 = 0
3x - 9y = 2 ---------> (2)
Solving (1) and (2)
x - 3y = 3
3x - 9y = 2
Multiply Eqn (1) by 3,
3x - 9y = 9 -------> (3)
3x - 9y = 2 ---------> (4)
Answer provided by Education Point
equation 1 : [tex]\sf x - 3y - 3 = 0[/tex]
equation 2 : [tex]\sf 3x - 9y - 2 = 0[/tex]
make x the subject in equation 1,
[tex]\sf x = 3+3y[/tex]
insert this in equation 2,
[tex]\rightarrow \sf 3(3+3y) - 9y - 2 = 0[/tex]
[tex]\rightarrow \sf 9+9y- 9y - 2 = 0[/tex]
[tex]\rightarrow \sf 7 = 0[/tex]
Thus no solution for x and y in this solution.
Brainliest available
Simplify
8x^5 y^8 z^9 ur welcome
Answer:
[tex]64x^6y^{12}z^{14}[/tex]
Step-by-step explanation:
[tex]\left(8x^3y^6z^7\right)^2[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n[/tex]
[tex]\left(8x^3y^6z^7\right)^2=8^2\left(x^3\right)^2\left(y^6\right)^2\left(z^7\right)^2[/tex]
[tex]=8^2\left(x^3\right)^2\left(y^6\right)^2\left(z^7\right)^2[/tex]
[tex]8^2=64[/tex]
[tex]=64\left(x^3\right)^2\left(y^6\right)^2\left(z^7\right)^2[/tex]
[tex]=64x^6\left(y^6\right)^2\left(z^7\right)^2[/tex]
[tex]=64x^6y^{12}\left(z^7\right)^2[/tex]
[tex]=64x^6y^{12}z^{14}[/tex]
~lenvy~
Write your answer as a fraction or as a whole
6
cm
4.
m
ол
52
cm
52 cm
62 cm
Answer:
Perimeter=25
Step-by-step explanation:
HOPE THIS HELPS YOU
5x+9y=−10
7x+10y=−1
help how do i solve this
Answer:
{x,y} = {7,-5}
Step-by-step explanation:
Solve equation [2] for the variable y
[2] 10y = -7x - 1
[2] y = -7x/10 - 1/10
Plug this in for variable y in equation [1]
[1] 5x + 9•(-7x/10-1/10) = -10
[1] -13x/10 = -91/10
[1] -13x = -91
Solve equation [1] for the variable x
[1] 13x = 91
[1] x = 7
By now we know this much :
x = 7
y = -7x/10-1/10
Use the x value to solve for y
y = -(7/10)(7)-1/10 = -5
Answer:
(x , y) = (7 , -5)
Step-by-step explanation:
{x, y} = {7, -5}
System of Linear Equations entered :
1. 5x + 9y = -10
2. 7x + 10y = -1
(Shown on graph below)
Solve equation 3 for the variable the y
10y = -7x - 1
y = -7x/10 - 1/10
Plug this in for variable y in equation 1
5x + 9•(-7x/10-1/10) = -10
-13x/10 = -91/10
-13x = -91
Solve equation 1 for the variable x
13x = 91
x = 7
By now we know this much :
x = 7
y = -7x/10-1/10
Use the x value to solve for y
y = -(7/10)(7)-1/10 = -5
Hence, (x , y) = (7 , -5)