The missing sides of the triangle are
WX = 9.3WX = 15.7 How to find the length of the sidesThe length of the sides is solved using sine rule.
This represented by the formula
Sine A / a = Sine B / b = Sine C / c
Solving for angle x
= 180 - 130 - 27 sum of angels in a triangle
= 23
applying the formula for the problem
Sine X / WY = Sine Y / WX
Sine 23 / 8 = Sine 27 / WX
cross multiplying
WX = 8 * Sine 27 / Sine 23
WX = 9.295
WX = 9.3 to the nearest tenth
Sine W / XY = Sine Y / WX
Sine 130 / XY = Sine 27 / 9.3
cross multiplying
XY = 9.3 * Sine 130 / Sine 27
XY = 15.692
WX = 15.7 to the nearest tenth
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if I had 9 bucks to spend on the book fair, how much money would I have if I bought 2 posters, a comic, and an Invisible ink pen? Would I have enough?
__________________
l poster: $2 l
l Comic: $3 l
l Invisible ink pen: $3 l
l_________________l
A walking path across a park is represented by the equation y=-4x+10. A new path will be built perpendicular to this path. The paths will intersect at the point (4,-6). Identify the equation that represents the new path. A. y=4x-22 B. y=1/4x-7 C. y=-4x+10 D. y=-1/4x-5
Given:
The equation of a line is
\(y=-4x+10\)
A perpendicular line on the given line passes through the point (4,-6).
To find:
The equation of the perpendicular line.
Solution:
We have,
\(y=-4x+10\)
On comparing this equation with slope intercept form \(y=mx+b\), we get
\(m=-4\)
So, the slope of the given line is -4.
We know that the product of slopes of two perpendicular lines is always -1.
\(m\times m_1=-1\)
\((-4)\times m_1=-1\)
\(m_1=\dfrac{-1}{-4}\)
\(m_1=\dfrac{1}{4}\)
The slope of the required line is \(\dfrac{1}{4}\) and it passes through the point (4,-6). So, the equation of the line is
\(y-y_1=m_1(x-x_1)\)
\(y-(-6)=\dfrac{1}{4}(x-4)\)
\(y+6=\dfrac{1}{4}x-1\)
\(y=\dfrac{1}{4}x-1-6\)
\(y=\dfrac{1}{4}x-7\)
Therefore, the correct option is B.
Residents in a city are charged for water usage every three months. The water bill is computed from a common fee, along with the amount of water the customers use. The last water bills for 40 neighborhood residents are displayed in the histogram below.
A histogram titled Neighborhood Monthly water bill has monthly water bill (dollars) on the x-axis and frequency on the y-axis. 100 to 125, 1; 125 to 150, 2; 150 to 175, 5; 175 to 200, 10; 200 to 225, 13; 225 to 250, 8.
Which of these correctly describes the shape of the distribution of water bills?
uniform
skewed left
skewed right
roughly symmetric
The shape of the distribution of water bills can be described as skewed right.
Here's a step-by-step explanation:
1. Analyze the histogram: 100-125 (1), 125-150 (2), 150-175 (5), 175-200 (10), 200-225 (13), 225-250 (8).
2. Observe that the frequency increases as the monthly water bill increases, reaching a peak at the 200-225 range.
3. Notice that after the peak, the frequency decreases as the monthly water bill increases further (from 225-250).
4. Based on this pattern, we can conclude that the distribution is not uniform (equal frequency across all ranges) or roughly symmetric (equal frequency on both sides of a central point).
5. Since the frequency increases as we move to the right and then decreases, the shape of the distribution is skewed right.
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For your last event of the day, you are going to purchase tickets to watch Patrick perform. They are charging people by the minute. They charge $1 per minute to watch the show and in addition, there is also a processing fee that you must pay if $10. Why would the total cost be if you attended the concert for 20 minutes
Answer:
$30
Step-by-step explanation:
Given that they charge $1 per minute to watch the show and in addition, there is also a processing fee that you must pay if $10, to attend the show for 20 minutes, it means that the total fee to be paid will be the sum of the product of 20 and $1 and the processing fee of $10
= (20 * $1) + $10
= $20 + $10
= $30
2.1 Convert the following common fractions to decimal fraction. 2.1.2.
\( \frac{9}{25} \)
The decimal fraction that represents the given fraction is: 0.36.
How to convert to decimal fractionsTo convert the figure from the given form to the decimal fraction, you can choose to use the long division format or simply divide it with the common factors. Between, 9 and 25, there is no common factor, so the best method to use here will be long division. Thus, we can proceed as follows:
1. 25 divided by 9
This cannot go so, we put a zero and a decimal point as follows: 0.
Then we add 0 to 90
2. Now, 25 divided by 90 gives 3 remainders 15. We add 3 to the decimal: 0.3
3. 90 minus 75 is 15. we add a 0 to this and divide 150 by 25 to get 6. This is added to the decimal to give a final result of 0.36.
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Malcolm is a project manager at an American technology company. He is a traditionalist and manages a team that is predominantly made up of millenials. What aspects of a written report would Malcom most likely prioritize over some of his millennial reports:
The aspects of a written report would Malcom most likely prioritize over some of his millennial reports are specific work environment, industry, or personal inclinations.
Traditionalists generally appreciate reports that rely on factual information and data to support arguments and conclusions. Malcolm may prioritize reports that provide evidence-based analysis, statistical data, and logical reasoning. He might expect the inclusion of citations or references to reputable sources when presenting facts, figures, or external information. This focus on concrete evidence helps establish credibility and supports decision-making processes.
Given Malcolm's traditionalist tendencies, he might prioritize reports that demonstrate a keen eye for detail and accuracy. He may expect information to be well-researched, double-checked for accuracy, and presented in a meticulous manner. Spelling errors, typos, or incorrect information may be seen as indications of carelessness or lack of professionalism, which might impact his perception of the report's quality.
Furthermore, individuals' preferences may also be influenced by their specific work environment, industry, or personal inclinations. Effective communication and understanding between Malcolm and his millennial team members would involve considering their perspectives and finding a balance that satisfies everyone's needs and preferences while maintaining the standards required by the organization.
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Machlab Equipment is comparing three machines to determine which one to purchase. Each machine has a unique price, annual operating cost, and life span. Which one of the following computational methods should Machlab use as the basis for its decision? Multiple Choice Internal rate of return Net present value Equivalent annual cost Depreciation tax shield Bottom-up operating cash flow
Machlab Equipment should use the Net Present Value (NPV) as the computational method to make its decision.
The Net Present Value (NPV) is a widely used computational method for investment decisions. It takes into account the initial investment cost, annual operating costs, and expected cash flows over the life span of the machines. By discounting these cash flows to their present value, the NPV determines the profitability and economic viability of each machine.
To compare the three machines, Machlab Equipment can calculate the NPV for each interest by subtracting the initial investment cost from the present value of the expected cash inflows. The Equivalent Annual Cost (EAC) and Bottom-up Operating Cash Flow methods may provide useful information but may not capture the overall profitability and financial impact of the investment.
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I'll always give away 5 stars, thanks and Brainliest to the answer that's correct!
Naruto has a baseball card that is worth $45. The value of the card is increasing at the rate of 1.5% per year. How much will the card be worth in 15 years?
A: $366.17
B: $56.26
C: $89.21
D: $263.97
Answer:
a I believe sorry if I'm wrong
Answer:
I think its B: $56.26
write the sets of all possible factors and the sets of common factors of the pairs of numbers, then find their H.C.F. could you show step by step.
a. 8,12
b. 12,18
c. 16,24
d. 20,30
e. 24, 36
Answer:
a= 1,2,4 b= 1,2,3,6 c=1,2,4 d=1,2,5,10 e=1,2,3,4,6,12 H.C.F of all the pairs= 2
Step-by-step explanation:
Factors of:
a. 8=1,2,4,8
12=1,2,3,4,6,12.
common factor=1,2,4
b. 12=1,2,3,4,6,12
18=1,2,3,6,9,18
common factor=1,2,3,6
c. 16=1,2,4,16
24=1,2,3,4,6,8,12,24
common factor=1,2,4
d. 20=1,2,4,5,10,20
30=1,2,3,5,6,10,15,30
common factor=1,2,5,10
e. 24=1,2,3,4,6,8,12,24
36=1,2,3,4,6,9,12,18,36
common factor=1,2,3,4,6,12
HIGHEST COMMON FACTOR (H.C.F)=
The factor common to the whole pairs
which is 1 and 2
therefore 1 multiplied by 2 which is equal to 2
(and in Mathematics means multiplication)
Find the altitude of triangle whose vertex is a(1,-2) and the equation of the base is X+y=3.
Answer:
\(2\sqrt {2}\)
Step-by-step explanation:
Distance From a Point to a Line
Given a line with an equation :
ax + by + c = 0
And the point \((x_0,y_0)\)
The distance from the line to the point is given by
\(\displaystyle d=\frac {|ax_{0}+by_{0}+c|}{\sqrt {a^{2}+b^{2}}}\)
The triangle has a vertex at (1,-2) and the base lies on the equation
x + y = 3
Rearranging:
x + y - 3 = 0
The altitude of the triangle is the distance from the point to the line.
The values to use in the formula of the distance are: a=1, b=1, c=-3, xo=1, yo=-2:
\(\displaystyle d=\frac {|1*1+1*(-2)-3|}{\sqrt {1^{2}+1^{2}}}\)
\(\displaystyle d=\frac {|1-2-3|}{\sqrt {2}}\)
\(\displaystyle d=\frac {4}{\sqrt {2}}\)
Rationalizing:
\(\displaystyle d=\frac {4}{\sqrt {2}}\cdot\frac{\sqrt {2}}{\sqrt {2}}\)
\(\displaystyle d=2\sqrt {2}\)
The altitude of the triangle is \(\mathbf{4\sqrt {2}}\)
Michelle started doing a puzzle at 7:50 p.m. She finished the puzzle at 8:34 p.m. How long did Michelle work on the puzzle?
Answer:
44 minutes
Step-by-step explanation:
Given:
Michelle started doing a puzzle at 7:50 p.m. She finished the puzzle at 8:34 p.m.
To Find:
How long did Michelle work on the puzzle?
Solve:
Began Time ⇒ 7:50 p.m
End Time ⇒ 8: 34 p.m
Since they are both p.m we could just subtract 8:34 by 7:50.
But first we know that:
8: 34 the 34 can't be subtracted by 7:50 the 50.
Thus we know that:
1 Hour = 60 minutes
Hence,
changing 8:34 p.m from 1 hour to 60 minutes. Which given us 7:94.
Then,
7:94 - 7:50
= 44
Hence, Michelle work on the puzzle for 44 minutes.
Kavinsky
Based on the diagram , P, Q, R and S are four vertices of a regular polygon with centre O.
1)Given OP is perpendicular to OS,determine the number of sides of the regular polygon.
Answer:
Is it 12?Yes,I think it's 12.
determine whether the three points are the vertices of a right triangle (6,4),(12,6),(16,-6)
Answer:
Step-by-step explanation:
The given points (6,4), (12,6), and (16,-6) do not form the vertices of a right triangle.
To determine if the given points form a right triangle, we can calculate the distances between the points and check if the squares of the distances satisfy the Pythagorean theorem. Let's calculate the distances between the points:
Distance between (6,4) and (12,6):
d₁ = √((12-6)² + (6-4)²) = √(36 + 4) = √40 ≈ 6.32
Distance between (12,6) and (16,-6):
d₂ = √((16-12)² + (-6-6)²) = √(16 + 144) = √160 ≈ 12.65
Distance between (16,-6) and (6,4):
d₃ = √((6-16)² + (4-(-6))²) = √((-10)² + (4+6)²) = √(100 + 100) = √200 ≈ 14.14
According to the Pythagorean theorem, if the points form a right triangle, then one of the distances squared should be equal to the sum of the squares of the other two distances. However, in this case, d₁² + d₂² ≠ d₃², d₁² + d₃² ≠ d₂², and d₂² + d₃² ≠ d₁². Therefore, the given points (6,4), (12,6), and (16,-6) do not form the vertices of a right triangle.
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The city of London, England, has an
elevation of 11 meters.
Which of these describes the elevation
of London?
below sea level
at sea level
above sea level
Answer:
above sea level
Step-by-step explanation:
Question 2 You have to make a model of the Great Pyramid at Giza, painted to look as close to identical as possible. Which term best describes the part that you must cover?
Volume
Area
Surface Area
Lateral Area
The term that describes the part of the model of the Great Pyramid to be painted is called the: lateral area.
What is the Lateral Area of a Pyramid?The lateral area of any pyramid is the area covered by the slant lateral faces of the pyramid. This excludes the base area of the pyramid.
The best term that describes the part of the Great Pyramid to be covered is therefore known as: lateral area.
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yonni has a 5 gallon fish tank. he needs to change the water in the fish tank. how many cups of water will yonni need to replace all the water in the fish tank?
In linear equation, 80 cups of water will yonni need to replace all the water in the fish tank.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Now, as we know:
1 quart = 0.25 gallons
⇒ 4 pints = 1 gallons
⇒ 8 pints = 2 gallons
Also, 1 pint = 0.5 quart
⇒ 2 pints = 1 quarts
⇒ 8 pints = 4 quarts
⇒ 16 pints = 8 quarts
Again, 1 cup = 0.5 pint
⇒ 2 cup = 1 pint
⇒ 32 cup = 16 pints
so 16 * 5 = 80 cups
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Campbells wants to try and sell their soup in boxes rather than cans. The original cans have a height of 6 inches and a diameter of 4 inches. If the boxes can only be 2 inches deep, 4 inches wide and the keep the volume the same, what is the height of the new rectangular box
To find the height of the new rectangular box, we first need to determine the volume of the original can. The can has a height of 6 inches and a diameter of 4 inches, which means it has a radius of 2 inches. The volume of a cylinder (can) is calculated using the formula V = πr²h.
In this case, V = π(2²)(6) = 24π cubic inches.
Now, we need to find the height of the new rectangular box that has a width of 4 inches and a depth of 2 inches. To maintain the same volume, the formula for the volume of a rectangular prism (box) is V = lwh.
Since we know the volume (24π cubic inches), width (4 inches), and depth (2 inches), we can solve for the height (h):
24π = (4)(2)(h)
24π = 8h
Now, divide both sides by 8:
h = 3π inches
So, the height of the new rectangular box would be 3π inches to maintain the same volume as the original can.
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Which function is represented by the graph? f(x) = â’|x â’ 3| 4 f(x) = â’|x 3| 4 f(x) = â’|x â’ 4| 3 f(x) = â’|x 4| 3.
Functions are used to represent graphs, and vice versa.
The function represented by the graph is \(f(x) =- |x + 4| + 3\)
The graph (see attachment) is an absolute value graph.
An absolute value graph is represented as:
\(f(x) =a |x - h| + k\)
Where
\(Vertex = (h,k)\)
The vertex is the minimum or the maximum point on the graph.
So, we have:
\(Vertex = (-4,3)\)
The function becomes
\(f(x) =a |x + 4| + 3\)
The function also passes through the point (-1,0).
So, we have:
\(0 =a |-1 + 4| + 3\)
\(0 =a |3| + 3\)
Remove the absolute bracket
\(0 =3a + 3\)
Subtract 3 from both sides
\(3a =- 3\)
Divide both sides by 3
\(a =- 1\)
Substitute -1 for (a) in \(f(x) =a |x + 4| + 3\)
\(f(x) =- |x + 4| + 3\)
Hence, the function represented by the graph is \(f(x) =- |x + 4| + 3\)
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a buyer purchased 8 blue shirts and X red shirts. The ratio of blue shirts to red shirts purchased was 2:5. How many red shirts did the buyer purchase?
Answer:
20
Step-by-step explanation:
b:r
2:5
8:x 8/2=4
5*4=20
miguel saves the same amount of money into a bank account each week. the bank account started with some money in it. after 3 weeks, the bank account contained $250. after 10 weeks the bank account contained $600. write an equation that can be used to model the number of dollars, y, miguel saves in x weeks
Answer:
okokokokokokokokokokokokpok
For a party, Tyler gets four different kinds of soda. He buys a 6-pack of each
kind. At home, he divides the sodas evenly among three coolers. How many
sodas are in each cooler?
Answer:
8 sodas/cooler
Step-by-step explanation:
4 · 6 = 24
24/3 = 8
32 450 to nearest hundred
Answer:
32,500
Step-by-step explanation:
What is logbase 3√81
Answer:
log3(sqrt(81)) = 2
Step-by-step explanation:
Which statements about the surface area of a cone are true? Check all that apply.
✓ A cone is similar to a pyramid, but a cone has a circular base.
* The equation for the base area of a square pyramid is the same as that for the base area of a cone.
1
✓ The lateral area of the cone is Cl, where Crepresents the circumference of the base and I represents the slant
2
height
✓ The slant height is the distance from any point on the circular base to the vertex.
* The surface area of the cone is the product of the base area and the lateral area.
c.
The true statements are;
1. A cone is similar to a pyramid, but a cone has a circular base. This means that the base of a cone is a circle, while the base of a pyramid can be any polygon.
2. The lateral area of the cone is Cl, where C represents the circumference of the base and l represents the slant height. The lateral area of the cone is the curved surface area that wraps around the cone.
3. The slant height is the distance from any point on the circular base to the vertex. It can be measured along the curved surface of the cone.
How to determine the true statementsTo determine the true statements, we have;
The equation for the base area of a square pyramid is the same as that for the base area of a cone.
The formula for the base area of a cone is given by the formula ;
A= πr²
r is the radius of the circular base
The formula for the area of the base of a square pyramid is expressed as;
A = s²
where s is the length of one side of the square base.
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There are 372 players in a tennis tournament. In each round, half of the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of x rounds?
Answer:show ur homework page I have the same one I think
Step-by-step explanation:
3. a mother gave birth to twin boys, but they were born on different days. and no, the boys are not part of 2 sets. how can this be possible?
This is possible if the first twin was born just before midnight and the second twin was born just after midnight, on different calendar days.
For the most part, twins and multiples share the same birthday. However, depending on the time of day the babies are born and how long the timespan is between each baby's birth, twins can be born on different days.
Twins are defined as two offspring born together, but that doesn't necessarily mean they are born on the same date. Multiples are generally born only a few minutes apart. If delivered by cesarian section, the interval between births is usually only a minute, maybe two.
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Use the formula to find the volume of the figure. Show your work.
Hello !
Answer:
\(\boxed{\sf V{cone} \approx 2408.55 m^3}\)
Step-by-step explanation:
To find the volume of a cone with the radius of its base and its height, we will apply the following formula:
\( \sf V{cone} = \dfrac{\pi \times r^2 \times h}{3} \)
Where r is the radius of its base and h is its height.
Given:
r = 10 mh = 23 mLet's substitute our values into the formula:
\(\sf V{cone} = \dfrac{\pi (10)^2(23)}{3} = \dfrac{2300\pi}{3} \ \ \\\boxed{\sf V{cone} \approx 2408.55 m^3}\)
Have a nice day ;)
Can someone please help me ASAP?? It’s due tomorrow!! I will give brainliest If It’s correct.
Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:
A. Perpendicular to the base: Rectangle
B. Parallel to the base: Triangle with dimensions equal to the base
C. Diagonal from vertex to vertex: Triangle with unknown dimensions
Two students wishing to determine the height of the platform on which they are standing, decided to get a projectile launcher and shoot a projectile to the ground below. They fire a projectile with an initial speed of 10.1 m/s at an angle of 22.8 degrees above the horizontal axis, off the edge of the platform. The horizontal range of the projectile, as measured from the base of the platform to the point at which it strikes the ground level, is 37 m. Determine the height of the platform above the ground.
To determine the height of the platform above the ground, we can break down the projectile motion into horizontal and vertical components.
We can calculate the height of the platform (h) by subtracting the vertical displacement (Δy) from the initial height of the projectile:
h = Δy - Δy = ((2 * V₀y²) / g) - ((2 * V₀y²) / g)
First, let's analyze the horizontal motion of the projectile. The horizontal range (R) is given as 37 m. The horizontal component of the initial velocity (V₀x) can be found using:
V₀x = V₀ × cos(θ)
where V₀ is the initial speed (10.1 m/s) and θ is the launch angle (22.8 degrees).
V₀x = 10.1 m/s × cos(22.8°)
Next, let's consider the vertical motion of the projectile.
The vertical component of the initial velocity (V₀y) can be found using:
V₀y = V₀ × sin(θ)
V₀y = 10.1 m/s × sin(22.8°)
Since the projectile is launched from the edge of the platform, the initial vertical displacement (Δy) is equal to the height of the platform (h). We need to find h.
We can use the equation for vertical displacement to relate Δy, V₀y, and time (t):
Δy = V₀y × t + (1/2) × g × t²
where g is the acceleration due to gravity (approximately 9.8 m/s²).
The time of flight (t) can be found using the formula:
t = 2 × V₀y / g
Substituting the expression for t in terms of V₀y into the equation for vertical displacement, we have:
Δy = V₀y × (2 × V₀y / g) + (1/2) × g × (2 × V₀y / g)²
Simplifying the equation gives:
Δy = (V₀y² / g) + (2 × V₀y²) / (2 × g)
Δy = (V₀y² / g) + (V₀y² / g)
Δy = (2 × V₀y²) / g
Finally, substituting the expressions for V₀y and V₀x into the equation for the horizontal range, we can solve for h:
R = V₀x × t
37 m = V₀x × (2 × V₀y / g)
37 m = (10.1 m/s × cos(22.8°)) × (2 × (10.1 m/s × sin(22.8°)) / 9.8 m/s²)
Now we can calculate the height of the platform (h) by subtracting the vertical displacement (Δy) from the initial height of the projectile:
h = Δy - Δy = ((2 × V₀y²) / g) - ((2 × V₀y²) / g)
Simplifying the equation gives us the height of the platform.
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A group of 24 students have recess together. They are making teams to play a game. Each team has to have exactly 5 players, and no one can be on more than one team. How many teams can they make? (It is possible that not everyone can be on a team.
Answer:
With 24 players you can only make 4 teams with 5 players each. There will be 4 students left.
Step-by-step explanation:
Divide 24 by 5. Your answer will be 4 with a remainder of 4.