The value of the variable x is 10
How to determine the valueFollowing the triangle theorem, we have that the sum of the angles in a triangle is equivalent to 180 degrees.
From the information given, we have the interior angles as;
4x, 9x and 5x
Now, equate the angles to the sum, we have;
4x + 9x + 5x = 180
add the like terms, we have;
18x = 180
Now, let's determine the value of x by dividing both sides by the coefficient of x, we get;
18x/18 = 180/18
divide the values
x = 10
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Determine if the 3 lengths make a triangle. If they do, classify as acute, right, or obtuse.
a. 5, 6, 7
b. 1.6, 1.8, 3.1
c. 7, 9, 15
d. 4, 5, 10
e. 15, 20, 25
(45 points)
Answer: Your welcome!
Step-by-step explanation:
a. Yes, this makes a triangle. It is an acute triangle.
b. Yes, this makes a triangle. It is an acute triangle.
c. Yes, this makes a triangle. It is an obtuse triangle.
d. No, this does not make a triangle. The side lengths do not add up to more than the other two sides combined.
e. Yes, this makes a triangle. It is an obtuse triangle.
Answer: Its C
Step-by-step explanation:
Are rhombuses also rectangle?? Explain
Answer:
No, rhombuses are not necessarily rectangles. While both shapes are quadrilaterals with opposite sides parallel, there is an additional requirement for a rectangle that is not present in a rhombus. Specifically, a rectangle must have all interior angles measuring 90 degrees, while a rhombus can have any angle between 0 and 180 degrees.
On the other hand, all rectangles are parallelograms, while not all parallelograms are rectangles. Similarly, all squares are both rhombuses and rectangles, but not all rhombuses or rectangles are squares. In summary, a rhombus is a quadrilateral with four equal sides, while a rectangle is a quadrilateral with four right angles. While there is some overlap between the definitions, they are not equivalent.
Answer:
Rhombuses are not rectangles
Step-by-step explanation:
This is because rhombuses do not have 4 right angles.
A square would be a rectangle because its a quadrilateral with 4 right angles
while a rectangle wouldn't be a square because it doesn't have 4 equal sides
A rhombus is a quadrilateral that has 4 equal sides but doesn't have 4 right angles, making it not a rectangle
Please help me :( I would appreciate it.
use the Remainder Theorem and synthetic division please
Answer:
f (3) = 142
Step-by-step explanation:
#CarryOnLearning
If ƒ(x) = -x − 2, what is ƒ^¹ (x)?
Answer:
Step-by-step explanation:
XDXDXDXDXDXDXDXDXD get rick rolled
Find the value of x.
Given:-
[tex] \rm \: (3x+9)°[/tex][tex] \: [/tex]
[tex] \rm(4x +3) \degree[/tex][tex] \: [/tex]
Solution:-
[tex] \rm \: (3x+9)=(4x+3)[/tex][tex] \: [/tex]
[tex] \rm \: 3x + 9 = 4x + 3[/tex][tex] \: [/tex]
[tex] \rm \: 3x - 4x = 3 - 9[/tex][tex] \: [/tex]
[tex] \rm \: -1x = -6.[/tex][tex] \: [/tex]
[tex] \rm \: x = \cancel \frac{ - 6}{ - 1} [/tex][tex] \: [/tex]
[tex] \boxed{ \underline{\rm \purple{ \: \: x = 6 \: \: }}}[/tex][tex] \: [/tex]
Therefore , the value of x is 6 !
━━━━━━━━━━━━━━━━━━━━━━━
hope it helps! :)
in miami fl, a rental car company charges $0.45 per mile and a flat fee of $20.00 for renting the car
The equation that shows the total cost of renting the car from the company is y = 0.45x + 20
How to solve an equation?An equation is an expression containing numbers and variables linked together by mathematical operations such as addition, subtraction, division, multiplication and exponents.
Let y represent the total cost of renting a car from a company and travelling x miles.
The rental car company charges $0.45 per mile and a flat fee of $20.00 for renting the car, hence:
y = 0.45x + 20
The equation is y = 0.45x + 20
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It is reported on the local weather broadcast that the day's temperatures will stay between –4° and 4°. Which of these represents a series of temperatures that could occur during the day?
Answer:
Any series of temperatures between -4° and 4° could occur during the day, as long as they stay within that range. For example, the temperature could start at -3°, then rise to 1°, fall to -2°, and rise again to 3°, and so on. Another example could be the temperature staying constant at 0° throughout the day. Therefore, there are many possible series of temperatures that could occur during the day, as long as they stay within the given temperature range.
Malik plans to make changes to his yard. He wants to double the lengths of the sides
of the garden, using the right angle vertex as the center of dilation. His garden will
then be rotated 180° about the right angle vertex and moved 11 feet to the right and
13 feet up.
Answer:
48.2 degrees
Step-by-step explanation:
look at photo
Juliana expects to work overtime this week. She will work 40 hours at her regular pay rate. The she will work another 15 hours at
$5 per hour more than her regular pay rate.
a. Write a function for Juliana so she can calculate how much money she will make based on her regular pay rate.
b. Juliana will make
$735 this week (including her overtime pay). What is her regular pay rate?
The function to calculate her regular pay rate is y = 55x + 75.
Her regular pay rate is 12 dollars.
How to represent a function?Juliana expects to work overtime this week. She will work 40 hours at her regular pay rate.
She usually work 15 hours at 5 dollars per hour more than her regular rate.
Therefore, the function to calculate how much money she will make base on her regular pay rate is as follows:
let her regular pay rate = x
Therefore,
y = 40x + 15(x + 5)
y = 55x + 75
Let's find her regular pay rate when she earns 735 dollars(including the overtime)
Therefore,
735 = 40x + 15(x + 5)
735 = 40x + 15x + 75
735 - 75 = 55x
660 = 55x
x = 660 / 55
x = 12
Therefore, her regular pay rate is 12 dollars.
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Thomas loves tomatoes. He plans to fill the container shown below with soil to grow his own tomato plants. The dimensions of the container are shown in inches.
How much soil will the container hold?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
The required container can hold approximately 1570.8 cubic inches of soil.
Explain about Container.By enclosing units in containers—that is, by circling, boxing, or otherwise enclosing units—container numbers indicate magnitude. The worth of each container's contents is multiplied by the number system's fundamental unit. Typically, the basis is either 2 or 10 (the decimal system) (the binary system).
According to question:To find the volume of the container, we can use the formula for the volume of a cylinder:
[tex]$$ V = \pi r^2 h $$[/tex]
where r is the radius of the base (half the diameter) and $h$ is the height of the cylinder.
In this case, the diameter of the container is 10 inches, so the radius is half that, or 5 inches. The height is given as 20 inches. Substituting these values into the formula, we get:
[tex]$$ V = \pi (5\text{ in})^2 (20\text{ in}) = \pi (25\text{ in}^2)(20\text{ in}) \approx 1570.8 \text{ in}^3 $$[/tex]
Therefore, the container can hold approximately 1570.8 cubic inches of soil.
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Complete question:
Thomas loves tomatoes he plans to fill the container with soil to grow his own tomato plant the diameter of the container is 10 inch and height 20 inch how much soil will the container hold.
need help with problem 6 need test stastic and p value
In response to the query, we can state that The p-value, rounded to four probability decimal places, is 0.0056.
What is probability?Mathematicians use probability theory to determine the chance that an event will occur or a statement is true. A probability of about 0 reflects how probable an event appears to occur, whereas a risk is a value between 0 and 1, where 1 suggests certainty. Probability is a mathematical representation of the likelihood that a specific event will take place. Other ways to express probabilities are as integers between 0 and 1 or as percentages between 0% and 100%. the ratio of events among equally likely options that lead to a certain event to all other outcomes.
The sample proportions for the first and second populations are respectively p1 = 0.25 and p2 = 0.223. The samples had n1 = 587 and n2 = 251 respectively.
For this sample, the test statistic is provided by:
z is equal to (p1 - p2) / sqrt(p hat * (1 - p hat) * (1/n1 + 1/n2)).
where p hat is the pooled sample proportion and n1 + n2 is the sample size.
When we change the values, we obtain:
z = (0.25 - 0.223) / sqrt(0.236 * (1 - 0.236) * (1/587 + 1/251)) = 2.541
The test statistic, rounded to three decimal places, is 2.541.
, we hunt for the region in the standard normal distribution's right tail that corresponds to a z-score of 2.541. We calculate this area to be 0.0056 using a calculator or a table.
The p-value, rounded to four decimal places, is 0.0056.
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Brainlist for quickest answer
Which of the following describes an approach used to harness tidal energy?
I. Floating platform with turbines
II. Floating ship with turning pendulum
III. Having water spin turbines attached to fence
I only
II only
I and II
I, II, and III
Sure! Tidal energy is a type of renewable energy that is harnessed from the movement of ocean tides. There are different approaches to harnessing tidal energy, but the three options given in the question are:
I. Floating platform with turbines: This approach involves anchoring a floating platform in the tidal zone, where the rise and fall of the tides can be used to turn turbines and generate electricity. The turbines are connected to generators, which convert the mechanical energy of the turning turbines into electrical energy. This approach is commonly used in commercial tidal energy projects, such as the MeyGen tidal energy project in Scotland.
II. Floating ship with turning pendulum: This approach, also known as the "pendulor" or "pendulum" system, involves a floating ship or barge that is anchored in the tidal zone. The ship is designed to swing back and forth with the movement of the tides, and this movement is used to turn a pendulum, which in turn drives a generator. The idea behind this approach is that the ship's movement can be used to generate more energy than just the up-and-down motion of a floating platform with turbines. However, this approach is still in the experimental phase and has not yet been deployed on a commercial scale.
III. Having water spin turbines attached to fence: This approach involves installing turbines directly in the flow of tidal currents. The turbines are attached to a fence-like structure, which guides the flow of water and increases the speed of the current as it passes through the turbines. The spinning turbines generate electricity, which is then sent to a generator and converted into usable power. This approach is also known as "barrage" or "fence" technology, and it has been used in a few commercial tidal energy projects, such as the La Rance tidal power plant in France.
So, to answer the question, the correct answer is "I and III" since both involve using turbines to generate electricity from the movement of ocean tides.
Floating platform with turbines and Having water spin turbines attached to fence best describes an approach used to harness tidal energy.
What is Energy?Energy is the capacity to do work
The approach used to harness tidal energy is described by option I and III.
I. Floating platform with turbines - This involves placing turbines on floating platforms that are anchored to the seabed.
As the tide comes in and out, the water flows through the turbines, generating electricity.
III. Having water spin turbines attached to fence - This involves building a fence-like structure across a tidal inlet.
As the tide comes in and out, the water flows through the fence and spins turbines, generating electricity.
Option II, floating ship with turning pendulum, does not describe an approach used to harness tidal energy.
Therefore, floating platform with turbines and having water spin turbines attached to fence best describes an approach used to harness tidal energy.
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1. Is b greater than or less than 2? Explain how you know. 2. Write an equation that defines g. Show your reasoning. 3 f and g represent the number. In thousands. Of social media followers of two organizations as a function of years since 2010. What does the intersection of f and g mean in this context?
The variable b is greater than 2
The equation that defines g is g(x) = 3(4)^xThe intersecting of f and g is the year the they have equal followersHow to determine if b is greater or less than 2The graph (see attachment) represents the given parameter
The function g is given as
g(x) = a * b^x -- the red line
Using the points on the graph, we have
b = 12/3
b = 4
So, b is greater than 2
Equation that defines gIn (a), we have
g(x) = a * b^x -- the red line
Where
a = g(x) when x = 0
So, we have
a = 3
The function becomes
g(x) = 3(4)^x
The meaning of the intersecting of f and gBased on the function definitions, the intersecting of f and g represent the year when the organizations have the same number of followers
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A rectangular field is 100 meters wide and 150 meters long.
Give the length and width of another rectangular field that has the same perimeter but a smaller area.
Answer:
perimeter of first ️
2(100+150) = 500 m
Need help with math problem
The measure of angle WUX is 78⁰.
option D.
What is the measure of angle WUX?
The measure of angle WUX is calculated by applying the following triangle principles.
∠ VUX + ∠VXU = 90 ( complimentary angles )
7x + 11 + 11x + 7 = 90
18x + 18 = 90
18x = 72
x = 72/18
x = 4
The measure of angle VXU is calculated as;
∠VXU = 11x + 7
= 11 x 4 + 7
= 51⁰
The measure of angle UWV is calculated as;
∠ UWV = 6x + 27
= 6 x 4 + 27
= 51⁰
The measure of angle WUX is calculated as;
∠ WUX = 180 - ( 51 + 51 ) ( sum of angles in a triangle )
∠ WUX = 180 - 102
∠ WUX = 78⁰
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Brad is standing on a hill which places him at the same height as a nearby flagpole. The flagpole is 15 ft. high and Brad is 20 ft. horizontally from the top of the pole. Brad can see the bottom of the flag pole.
What is the length in feet of Brad's "line of sight" to the base of the flagpole?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
your ans please mark me brainiest
Please help! 14 points, one right answer.
Answer:
C. [tex]\frac{n+4}{2}[/tex]
Step-by-step explanation:
"the sum of a number (n) and 4" --> n + 4
"divided by 2" --> this means the whole expression will be divided by 2
Therefore, the final answer is the third option!
Hope this helps!! :)
Translation: 4 left and 2 down
Answer:
Step-by-step explanation:
I first move the dot left by 4 by counting them. Then move it down by 2.
Answer: So What you want to do is Move left 4 and down 2, then do it again
Step-by-step explanation:
the 2 expressions below are equivalent expressions. is isaac correct? explain your reasoning. - 2(3x - 5) and - 6x - 10
Answer: Isaac is unfortunately incorrect.
Step-by-step explanation: We want to determine if -2(3x-5)=-6x-10. We can apply the distributive property to the parentheses on the left side of the equation to see if this statement is true.
-2(3x-5)=-2*3x+-2*-5=-6x+10
The left side simplifies to -6x+10 which is not equivalent to -6x-10.
Hope this helps!
Solve : select all answer that apply
|x/5| = 1
x=3
x= -1
x=-6
x= 5
x=-5
The correct solution for the given absolute function |x/5| = 1 is: x = 5 and x = -5.
Explain about the absolute function?The variable inside this absolute value bars makes up an essential algebraic function known as the absolute value function.
This same absolute value function is likewise referred to as the modulus function, and its most popular representation is f(x) = |x|, wherein x is a real number. Such operations are frequently used to determine the separation between two points. Beyond a certain point, all of these functions change (becoming rising or decreasing).The given function is-
|x/5| = 1
Solving the bars will give:
x/5 = 1 and x/5 = -1
So,
x = 5 and x = -5 are the solution of the absolute function.
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5. My sisters were having a
lemonade stand. They
made 2 gallon of
lemonade. If they divided it
equally into 6 cups, how
much lemonade was in
each cup?
there are 3 cups of lemonade in each cup
0.0001 ÷ 28,0000 help
Answer:
3.5?
Step-by-step explanation:
sorry that's all i can do..
Answer: 3.5714286e^-10 or 0.00000000035714286 or 3.5714286 × 10^-10
Step-by-step explanation:
First, we divide 0.0001 by 28, which equals 3.5714286e-6.
And since we added 4 zeros to the equation, the negative (e) will be pushed by -4. So, it should look like this: 3.5714286e-10, and the equation is complete.
Point a,b, and c are collinest. Point b is between a and c. AC = -3 + 6x, AB = 3x - 3, and BC = 9. Find x.
Therefore , the solution of the given problem of equation comes out to be x has a value of 4.
Define equation.The equation y=mx+b is the basis of a linear regression model. B is the slope, and m is the y-intercept. The aforementioned sentence is repeatedly alluded to as a "math problem with two variables," despite the fact that y and y are distinct parts. In bivariate linear equations, there are only two variables. The application regions for linear equations have no definitive solutions.
Here,
We could use segment addition principle to write: since B is situated between A and C.
=> AB + BC = AC
Inputting the numbers provided yields:
=> -3 + 6x = 3x - 3 + 9
When we simplify the solution, we get:
=> 6x - 3x = 9 + 3
=> 3x = 12
=> x = 4
Consequently, x has a value of 4.
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A social worker at a large high school wants to estimate the number of days students are absent. He randomly
selects 45 students and records the number of days each one is absent. The social worker constructs a 95%
confidence interval for the true mean number of days students at this school are absent. Which of the following
would decrease the margin of error?
O using a sample of size 30
O using a sample of size 40
constructing a 90% confidence interval
O constructing a 99% confidence interval
Answer:
The answer is C.)
Step-by-step explanation:
If a ball is thrown upward at 128 feet per second from the top of a building that is 140 feet high, the height of the ball is given by
S = 140 + 128t − 16t2 feet
t=
According to given information the correct answer is [tex]$t =[/tex] [tex]\frac{5}{4}$[/tex] seconds.
What is Equations?An equation is a mathematical statement that asserts the equality of two expressions. It typically consists of two expressions separated by an equals sign (=), with the expression on the left side equal to the expression on the right side. The equals sign indicates that the two expressions have the same value for some or all values of the variables involved.
The equation that gives the height [tex]($S$)[/tex] of the ball at time [tex]($t$)[/tex] is:
[tex]$$S = 140 + 128t - 16t^2$$[/tex]
To find the time [tex]($t$)[/tex] when the ball is at a certain height, we can set the equation equal to that height and solve for [tex]t$.[/tex]
For example, if we want to find the time when the ball is at a height of 200 feet, we would set [tex]$S = 200$[/tex] and solve for [tex]t$:[/tex]
[tex]$$200 = 140 + 128t - 16t^2$$[/tex]
Rearranging and simplifying, we get:
[tex]$$16t^2 - 128t + 60 = 0$$[/tex]
Dividing both sides by 4, we get:
[tex]$$4t^2 - 32t + 15 = 0$$[/tex]
We can solve for [tex]$t$[/tex] using the quadratic formula:
[tex]$$t[/tex]= [tex]\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$[/tex]
where [tex]a = 4$, $b = -32$,[/tex] and [tex]c = 15$.[/tex]
Plugging in these values, we get:
[tex]$$t[/tex] = [tex]\frac{-( -32) \pm \sqrt{(-32)^2 - 4(4)(15)}}{2(4)}$$[/tex]
Simplifying, we get:
[tex]$$t =[/tex] [tex]\frac{32 \pm \sqrt{484}}{8}$$[/tex]
[tex]$$t =[/tex][tex]\frac{32 \pm 22}{8}$$[/tex]
Therefore, the possible values of [tex]$t$[/tex] are:
[tex]$$t =[/tex] [tex]\frac{7}{2} \quad \text{or} \quad t = \frac{5}{4}$$[/tex]
Since the ball is thrown upward, the time when the ball is at a height of 200 feet is the time it reaches the height of 200 feet on its way up, not on its way down.
Therefore, according to given information the correct answer is [tex]$t =[/tex] [tex]\frac{5}{4}$[/tex] seconds.
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Rotation: 180° about the origin
According to the above, the figure rotated 180° would remain as shown in the image in the fourth quadrant of the Cartesian plane (+ , -)
How to rotate the figure 180°?To rotate the figure 180 degrees we must take into account its initial position. Additionally, we must remember that each quadrant is equivalent to 90°, so we would have to rotate it two quadrants. In this case it is not important to know if it rotates counterclockwise or clockwise because we know it will be in quadrant #4.
In this case, we must be guided by the coordinates that the figure has to draw it again. From the above we can see that it has four coordinates at the top. In the case of the figure rotated in quadrant #4, these four coordinates would be at the bottom because the figure has been rotated 180°.
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Can someone help me with this question
Answer:
I think z>1.5 because it is not bold and underlined
What is the area of triangle ABC?
The area of the triangle ABC is (c) 36√3 square units
How to determine the area of triangle ABC?From the question, we have the following parameters that can be used in our computation:
Side length, l = 12 units
Triangle type = Equilateral triangle
The side lengths of an equilateral triangle are congruent, and the area of a triangle is equal to half of the product of the base and the height of the triangle.
Using the above as a guide, we have the following:
Area = 1/4√3 * l^2
Substitute the known values in the above equation, so, we have the following representation
Area = 1/4√3 * 12^2
Evaluate
Area = 36√3
Hence the area is 36√3
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WILL GIVE BRAINLIEST
(Theoretical Probability MC)
A set of 3 cards, spelling the word ADD, are placed face down on the table. Determine P(A, D) if two cards are randomly selected with replacement.
O
ها فيا
W|N
O
2/9
69
Answer:
Option 4 4/9
Step-by-step explanation:
Please help me anyone ?!!!
Answer:
18 dollars
Step-by-step explanation:
he is left with 8 dollars. He buys one granola bar (2), one smoothie (3), and one sandwich (5).
This means that he has spent 2 dollars, 3 dollars, and 5 dollars, which totals 10 dollars (2 + 3 + 5 = 10). He is left with 8 dollars, so we know that he originally had 18 dollars because 10 + 8 = 18.