Answer:
Step-by-step explanation:
I'm going to guess that the equation is really
y = -3x +3 not y = -34 + 3
we don't really need the point information to solve this, we know that a perpendicular line has an inverse slope with a sign change
so we know the slope of the perpendicular line is
\(\frac{1}{3}\)
Insert 2 rational numbers between -1/3 and -1/2
Answer:
-11/24 and -4/9
Step-by-step explanation:
A rational number is a fraction in the form a/b where both a and b are integers and b is not equal to zero.
Given the numbers -1/3 and -1/2, to place two numbers between them, we have to first find the width between the two numbers.
Width = -1/3 - (-1/2) = -1/3 + 1/2 = 1/2 - 1/3 = 1/6
Since two numbers are to be placed between -1/3 and -1/2, we have to divide the width into 3 which results to 1/6 ÷ 3 = 1/18
The first number placed is -1/3 - 1/18 = -11/24
The second number is -11/24 - 1/18 = -4/9
Geometry question: For this assignment you will need a camera, a protractor, a printer, a straightedge, and a compass. Follow the instructions in the rubric below and upload your image and document.
1a. Find examples of 3 different triangles in art or architecture classified by angle measures: One acute triangle, one right triangle, and one obtuse triangle. Take a clear picture of each one or find them online. Print the images large enough so that you will be able to measure and label the angles on your print outs.
1b. Using your protractor, measure the angles and label them on your printouts. Use your angle measurements to mathematically verify the Triangle Sum Theorem. Show all work and explain how this verifies the triangle sum theorem.
1c. Using your protractor, measure the angles and use your angle measurements to mathematically verify the Exterior Angle Theorem. Show all work and explain how this verifies the exterior angle theorem.
2a. Construct a pair of congruent triangles using a straightedge and compass. You may want to review how to construct congruent segments and congruent angles. Proper markings that reflect the use of a compass must be shown.
2b. Prove each of the pairs of triangles are congruent by first choosing a shortcut and labeling only the measurements you need to use those shortcuts.
3a. Using a straightedge and compass, draw an angle and construct an angle bisector. Make sure all construction marks are shown.
1a) One example of an acute triangle in art or architecture could be the triangular roof of a traditional Chinese pagoda. The triangular sails of a sailboat or the triangular shape of a musical instrument like a guitar or violin may also feature acute triangles.
A common example of a right triangle in architecture is the corner of a rectangular building or the shape of a doorframe. In art, right triangles can be found in geometric abstract art or in the perspective lines used to create depth in a painting or drawing.
For an example of an obtuse triangle in art or architecture, one could look at the shape of the great pyramids in Egypt. The triangular shape of the roof of an A-frame house or the shape of a triangle formed by intersecting curved arches in a cathedral could also be examples of obtuse triangles.
1b) i can't print it for you so just print what i said in 1a and find the angles using a protracter. if you dont know how to do that here is how:
1. Place the protractor at the vertex (corner) of the angle where the two lines meet.
2. Line up one of the sides of the angle with the baseline (zero line) of the protractor.
3. Read the degree value where the other side of the angle crosses the number scale on the protractor.
4. If the angle is acute (less than 90 degrees) or obtuse (more than 90 degrees), use the smaller angle formed by the two sides of the angle to measure.
1c) i can't find the angles for you but here is how to verify using exterior angle theorm: To use the exterior angle theorem to verify angle measurements, you need to first identify the exterior angle of the triangle in question. Then, you need to find the measures of the two opposite interior angles. Lastly, you add those interior angle measures together to see if they are equal to the measure of the exterior angle. If they are equal, then the measurement is verified. If not, then there may be an error in the measurements or the theorem may not apply to the particular situation. It's important to note that the exterior angle theorem applies only to triangles and not other polygons.
2a)here is how to: To construct a pair of congruent triangles using straightedge and compass , you need to follow the process of constructing congruent segments and congruent angles . To begin, draw a line segment and label it as the base of your triangle. Then, using the compass, draw arcs of the same radius from both endpoints of the base. These arcs will intersect at two points. From each point of intersection, draw a line segment to the opposite endpoint of the base. These two line segments will form the sides of your triangle. Repeat this process, but this time draw the base at a different angle to create a second congruent triangle.
2b: here is how to prove + example:
To prove that a pair of triangles are congruent, you need to show that they have the same size and shape. This can be done using several shortcuts in geometry, depending on the given information. Here is an example of how to use the SSS (side-side-side) congruence shortcut to prove that two triangles are congruent:
Given: Triangle ABC and triangle DEF, where AB = DE, BC = EF, and AC = DF.
To prove: Triangle ABC is congruent to triangle DEF.
Shortcuts: SSS congruence.
Proof:
Since AB = DE and BC = EF, we know that segment AC corresponds to segment DF, as they are the remaining sides of each triangle.
Therefore, triangle ABC and triangle DEF share three corresponding sides, namely AB, BC, and AC.
According to the SSS shortcut, if two triangles have three corresponding sides that are congruent, then the triangles are congruent.
Hence, triangle ABC is congruent to triangle DEF.
3a) here is how to: To construct an angle bisector using a straightedge and compass , first draw the angle using the straightedge. Then place the compass on the vertex of the angle and draw an arc that intersects both rays of the angle. Without changing the radius of the compass, put it on each of the points where the arc intersects the angle, and draw two more arcs. These two arcs should intersect at a single point on the bisector of the angle, and this is the point where the bisector should be drawn using the straightedge. Make sure to show all construction marks, including the original angle, the arc from the vertex, the two additional arcs, and the final bisector line.
hope this helps :)
A clay pot has a mass of 54 grams and a density of 2 grams per cubic centimeter. What is its
volume?
To answer this question, we need to first understand the concepts of Volume and Density. Volume is a pretty easy concept to grasp - it is the overall space of a three-dimensional object. Density is essentially a rate, mass per unit of volume.
For example, let's say we have an object that has a volume of 50 \(m^{3}\) (cubic meters). If this object has a density of 10 \(\frac{g}{m^3}\) (grams per cubic meter), that essentially means that the object weighs 10 grams for every cubic meter of space it occupies. Because the object occupies 50 cubic meters of space, we know that the total weight will ultimately be 500 grams, as 50 times 10 is 500.
Okay, so we have an example. What can we do with it? Let's try to make an equation out of this example we have. We can see that the total weight of the object is found by multiplying density and volume. Let's write that in an equation:
m = d * V
in which:
m - mass
d - density
V - volume
This equation makes total sense, too! Density is essentially \(\frac{mass}{volume}\), and by multiplying it by volume it cancels out the volume, leaving behind only the final mass!
You may be thinking ,"well, this equation solves for mass, not volume. We're trying to solve for volume, aren't we?" You're right! Let's isolate V in order to create our final equation:
m = d * V
Divide both sides by d:
\(\frac{m}{d}\) = \(\frac{d*V}{d}\)
\(\frac{m}{d}\) = V
V = \(\frac{m}{d}\)
Awesome! We have our equation! Let's get the numbers we were given from the equation and plug them in:
V = \(\frac{m}{d}\)
V = \(\frac{54}{2}\)
V = 27 \(cm^{3}\)
And that's our answer! If you need any further explanation, just let me know!
- breezyツ
Breast-feeding mothers secrete calcium into their milk. Some of the calcium may come from their bones, so mothers may lose bone mineral. Researchers measured the percent change in mineral content of the spines of 47 mothers during three months of breast-feeding.6Here are the data:
Blend Images/Superstock
(a)
The researchers are willing to consider these 47 women as an SRS from the population of all nursing mothers. Suppose that the percent change in this population has standard deviation ? = 2.5%. Make a stemplot of the data to verify that the data follow a Normal distribution quite closely. (Don
To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.
To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.
STEMPLOT OF THE DATAHowever, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.
Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.
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the hexagonal prism below has a height of 4 units and a volume of 98 units^3 . find the area of one of its bases.
The area of one of the bases of the hexagonal prism is approximately 7.39 units^2.
To solve this problem, we can use the formula for the volume of a hexagonal prism:
V = (3√3/2) * a^2 * h
where V is the volume, a is the length of one side of the hexagonal base, and h is the height of the prism.
We are given that the height of the prism is 4 units and the volume is 98 units^3. Plugging these values into the formula, we can solve for the length of one side of the base:
98 = (3√3/2) * a^2 * 4
a^2 = 98 / (12√3)
a ≈ 2.95
Now that we know the length of one side of the base, we can find the area of the hexagon by using the formula:
A = (3√3/2) * a^2
where A is the area of one of the bases. Plugging in the value we found for a, we get:
A = (3√3/2) * (2.95)^2
A ≈ 7.39
Therefore, the area of one of the bases of the hexagonal prism is approximately 7.39 units^2.
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Selection all equations that are true given the diagram below.
Answer:
Opition A I just did it
Step-by-step explanation:
I LIKE YA CUT G
1. What is the slope of the line y = 5x +4?
=
Answer:
5 is the slope
Step-by-step explanation:
Because the equation is y=mx+b
m=slope and b=y intercept
Answer:
The slope of the line y = 5x + 4 is 5.
Step-by-step explanation:
In the equation y = mx + b,
m represents the slope
b represents the y-intercept.
In the equation y = 5x + 4, 5 takes place of m. Since this is the case, m = 5, or 5 is the slope.
Multiply.
(−7.3)(−0.08)
Enter your answer in the box.
Answer:
0.584
Step-by-step explanation:
HELP
Graph the system of equations.
f(x)=x^2+x−2
g(x)=−x+1
Which statements are true about the solutions to the system of equations?
Select each correct answer.
A. An ordered pair that is a solution to the system of equations lies in Quadrant II.
B. An ordered pair that is a solution to the system of equations lies in Quadrant III.
C. The x-coordinate of a solution to the system of equations is −3.
D. The x-coordinate of a solution to the system of equation is 2.
E. The y-coordinate of a solution to the system of equations is 4.
F. An ordered pair that is a solution to the system of equations lies on the x-axis.
Answer:
An ordered pair that is the solution to the system of equations lies on the y-axis.
The y-coordinate of a solution to the system of equations is 4.
EXPLANATION
The given system has equations:
We equate both equations to get:
This implies that,
When x=0, y=-(0)+4=4
When x=-3, y=-(-3)+4=7
The solutions are: (0,4) and (-3,7)
Still stuck? Get 1-on-1 help from an expert tutor now.
Step-by-step explanation:
x + y = 0
now you your ordered pairs to graph the lines on the coordinate plane. First graph x + y = 0.
Shade 15/25 of a square
Answer:
15/25 can be simplified to 3/5.
find the z-score of lena's flight experience relative to the flight experiences of all the members of the pilots association. round your answer to two decimal places.
The z-score of Lena's flight experience, relative to the pilots association, rounded to two decimal places, is to be determined.
The z-score of Lena's flight experience can be calculated by comparing her flight experience relative to the flight experiences of all the members of the pilots association.
To compute the z-score, we need two pieces of information: Lena's flight experience and the mean and standard deviation of flight experiences within the pilots association.
Let's assume Lena's flight experience is denoted by X and the mean flight experience of the pilots association is denoted by μ (mu), with a standard deviation of σ (sigma).
The z-score formula is given by:
z = (X - μ) / σ
By substituting the appropriate values into the formula, we can calculate Lena's z-score.
Once we have the z-score, we can interpret it as the number of standard deviations Lena's flight experience is from the mean flight experience of the pilots association. A positive z-score indicates that Lena's flight experience is above the mean, while a negative z-score indicates it is below the mean.
To round our answer to two decimal places, we will truncate the z-score calculation after the second decimal point.
Please provide the values of Lena's flight experience, the mean flight experience of the pilots association, and the standard deviation so that I can calculate the z-score for you.
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stuck on this question, was due yesterday!!!!
Answer:
c
all the other numbers are too high
PLEASE HELP ASAP!!!. :)
Answer:
it is the 3rd one on the page
Which of the following statements are true?(Choose all correct answers)Methods cannot be written with parameters.Parameter values can never be used within the method code block.Methods can be written with any number of parameters.Methods can never be written with more than four parameters.Parameter values can be used within the method code block
The true statement is, Parameter values can be used within the method code block. (option e).
In computer programming, methods are used to group a set of instructions together that can be executed repeatedly. Parameters are used to pass values to a method so that the method can perform specific actions based on the values passed. Let's discuss the given statements one by one to determine which ones are true.
Parameter values can be used within the method code block.
This statement is true. Parameter values can be used within the method code block to perform specific actions. The parameter values can be manipulated or combined with other values to produce the desired result.
In summary, methods can be written with any number of parameters, and parameter values can be used within the method code block to perform specific actions. The number of parameters needed will depend on the specific task the method is designed to perform.
Hence the option (e) is correct.
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HELP PLEASE PLEASE ILL GIVE BRAINLY
Answer:
the first one 24r+200=500
Factor X^2 + 14x + 49 =
Answer:
Step-by-step explanation:
X^2 + 7x + 7x + 49 = x*(x+7) + 7*(x+7) = (x+7)(x+7) = (x+7)^2
Answer:
The simplest form should be (x + 7)^2 (squared)
Step-by-step explanation:
This is a Perfect Square Trinomial. If the A and C values are both perfect squares then you can take the square root of them and that would become the factored version. Hope this helps! Please mark Brainliest! :)
if x is a positive integer, r is the remainder when x is divided by 4, and r is the remainder when x is divided by 9, what is the greatest possible value of r2 r ?
As per the remainder that the greatest possible value of 17
The term remainder in math defined as if a number is not completely divisible by another number then we are left with a value once the division is done
Here we have if x is a positive integer, then r is the remainder when x is divided by 4 and r is the remainder when x is divided by 9.
As we all know that the remainder is always smaller than the divisor.
Here we have also know that it will be 0 if the dividend is evenly divisible or a positive integer less than the divisor.
So, when we divided by 4 then the largest remainder will be 3 and then here we have to divided by 9, then the largest remainder will be written as
=> r² + R = 32 + 8
=> 9 + 8 = 17
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“The sum of three and a number, divided by three, is five”
I need help again due tomorrow
Answer: The number is 12
Step-by-step explanation:
Let x= the number that is unknown
The sum of three and a "number"= 3+"x"
Divided by three, means that x+3 is divided by 3
Is five, means that (x+3)/3=5
Algebra:
\(\frac{x+3}{3}=5\)
Multiply by 3 to arrive at x+3=15
Subtract both sides by 3, then x=12
Solve the system... I will mark you brainliest!!!!!!
Answer:
(2,4),(−1,1)
Step-by-step explanation:
a triangle has side length of 10 inches, 24 inches, and 26 inches. Is the triangle a right triangle?
In 5 hr, Kerrie can travel 12 mi upriver and come back. The rate of the current is 4 mph. Find the rate of her boat in still water.
To find the rate of Kerrie's boat in still water, we need to consider the time taken to travel upriver and back, as well as the impact of the current on her speed. Let's denote the boat's rate in still water as "b" mph.
When Kerrie goes upriver, the current works against her, so her effective speed is (b - 4) mph. When she comes back downriver, the current helps her, so her effective speed is (b + 4) mph. Since the total time for both trips is 5 hours, we can set up the following equation: Time upriver + Time downriver = Total time
(distance / rate) upriver + (distance / rate) downriver = 5 hours
(12 / (b - 4)) + (12 / (b + 4)) = 5.
Now, solve for b: 12(b + 4) + 12(b - 4) = 5(b² - 16)
12b + 48 + 12b - 48 = 5b² - 80
24b = 5b² - 80.
To solve the quadratic equation, set it to zero: 5b² - 24b - 80 = 0, Now, you can either factor or use the quadratic formula to find the values of b. Factoring: (5b + 16)(b - 5) = 0, So, b = -16/5 or b = 5. Since the rate cannot be negative, the rate of the boat in still water is 5 mph.
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What is the answer to t-27=4r
It is impossible to get an answer to this! For two different variables, you need at least two different equations before you can work something out! :)
3) If y varies directly as x, and x = 4 when y=1/10, write the the direct
variation equation in the form of y = kx. A.2D*
Answer:
I think it is y= 3x
Step-by-step explanation:
if the dot product of two nonzero vectors is zero, the vectors must be perpendicular to each other.
The dot product of two vectors is a scalar quantity that measures the extent to which the two vectors are aligned with each other. If the dot product of two nonzero vectors is zero, this indicates that the vectors are perpendicular or orthogonal to each other.
To see why this is true, consider two nonzero vectors u and v in \(R^n.\)The dot product of u and v is defined as:
u.v = |u||v|cos(theta)
where |u| and |v| are the magnitudes of u and v, respectively, and theta is the angle between u and v.
If u.v = 0, then we have:
|u||v|cos(theta) = 0
Since u and v are nonzero vectors, this means that either |u| or |v| or cos(theta) must be zero. However, the magnitude of a vector is always nonnegative, so we can rule out the possibility that |u| or |v| is zero. Therefore, we must have cos(theta) = 0, which means that the angle between u and v is 90 degrees, or pi/2 radians. In other words, u and v are perpendicular or orthogonal to each other.
This result can be visualized geometrically in two dimensions and in three dimensions. In two dimensions, two vectors are perpendicular if and only if they form a right angle. In three dimensions, two vectors are perpendicular if and only if they are orthogonal to each other, which means that they form a 90-degree angle at their intersection. In summary, if the dot product of two nonzero vectors is zero, this indicates that the vectors are perpendicular or orthogonal to each other. This result is a fundamental property of vector algebra and has important applications in physics, engineering, and other fields.
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Find the components of the vertical force Bold Upper FFequals=left angle 0 comma negative 10 right angle0,−10 in the directions parallel to and normal to the plane that makes an angle of theta equals tangent Superscript negative 1 Baseline (StartFraction StartRoot 3 EndRoot Over 3 EndFraction )θ=tan−1 3 3 with the positive x-axis. Show that the total force is the sum of the two component forces. What is the component of the force parallel to the plane? left angle nothing comma nothing right angle , What is the component of the force perpendicular to the plane? left angle nothing comma nothing right angle , Find the sum of these two forces. left angle nothing comma nothing right angle
Solution :
Let \($v_0$\) be the unit vector in the direction parallel to the plane and let \($F_1$\) be the component of F in the direction of \(v_0\) and \(F_2\) be the component normal to \(v_0\).
Since, \(|v_0| = 1,\)
\($(v_0)_x=\cos 60^\circ= \frac{1}{2}$\)
\($(v_0)_y=\sin 60^\circ= \frac{\sqrt 3}{2}$\)
Therefore, \(v_0 = \left<\frac{1}{2},\frac{\sqrt 3}{2}\right>\)
From figure,
\(|F_1|= |F| \cos 30^\circ = 10 \times \frac{\sqrt 3}{2} = 5 \sqrt3\)
We know that the direction of \(F_1\) is opposite of the direction of \(v_0\), so we have
\($F_1 = -5\sqrt3 v_0$\)
\($=-5\sqrt3 \left<\frac{1}{2},\frac{\sqrt3}{2} \right>$\)
\($= \left<-\frac{5 \sqrt3}{2},-\frac{15}{2} \right>$\)
The unit vector in the direction normal to the plane, \(v_1\) has components :
\($(v_1)_x= \cos 30^\circ = \frac{\sqrt3}{2}$\)
\($(v_1)_y= -\sin 30^\circ =- \frac{1}{2}$\)
Therefore, \($v_1=\left< \frac{\sqrt3}{2}, -\frac{1}{2} \right>$\)
From figure,
\(|F_2 | = |F| \sin 30^\circ = 10 \times \frac{1}{2} = 5\)
∴ \(F_2 = 5v_1 = 5 \left< \frac{\sqrt3}{2}, - \frac{1}{2} \right>\)
\($=\left<\frac{5 \sqrt3}{2},-\frac{5}{2} \right>$\)
Therefore,
\($F_1+F_2 = \left< -\frac{5\sqrt3}{2}, -\frac{15}{2} \right> + \left< \frac{5 \sqrt3}{2}, -\frac{5}{2} \right>$\)
\($=<0,- 10> = F$\)
Today, barry wants to write at least 50 pages of his research paper. barry wrote 18 pages this morning. barry averages about 8 pages per hour while writing. which inequality can be used to determine the fewest number of additional hours he will have to write in order to reach his goal?
Therefore , the solution to the given equation problem can be represented as 18+8h>50.
Which equation is this?Equations are mathematical formulations of the form A=B that are employed in the computation of values or the discovery of solutions. In equations, variables are frequently used (unknowns). The equation x + 4 = 14 serves as an illustration, where x is a variable. Finding the value of x that makes the equivalent (=) sign true is the goal. In this instance, x = 10 is the solution.
Here,
Given : to write at least 50 pages
18 all ready written
Thus,
at least
written pages>50
18 all ready written
8 times number of hours
written pages=18+8h
Thus,
18+8h>50
Therefore , the solution to the given equation problem can be represented as 18+8h>50.
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. During a sale, the price of a computer is reduced by $118 from the original price $590. By what percentage is the price of the computer reduced by? a 25% b. 69% C. 20% d. 75%
Answer:
C. 20%
Step-by-step explanation:
∠VTW≅∠UTW and ∠U≅∠V. Complete the proof that
VW
≅
UW
.
T
U
V
W
Answer: did you make that up ??
Step-by-step explanation:
Answer:
A. Alternate interior
B. Transitive property
C. Converse alternate interior angles theorem.
-75x/4>14/2 I don't get this can someone help me with this?
Is this the equation ur supposed to solve because the question was a little bit messy
\( \frac{ - 75x}{4} > \frac{14}{2} \)
Answer