From the statement given, we can say that Danielle is correct. The description of an acute isosceles triangle given by Sasha is not right.
What is an isosceles triangle?An isosceles triangle is a triangle in which two sides out of the three sides are equal. In the dimensions given by Sasha, three angles are given which are all not equal.
This makes the triangle a scalene triangle and not an acute isosceles triangle as described by her. So, Danielle is right for saying that Sasha is not correct.
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Complete Question:
Sasha says that she drew an acute isosceles triangle with side lengths of 6 cm, 9 cm, and 12 cm and angles of 30°, 50°, and 100°. Danielle says that is not possible. Explain, using sides and angles, who is correct.
(-11, 12),(-4,-9) slope
Answer:
slope = -3
Step-by-step explanation:
Hope this helps! Have a great day!
What is the area of the shaded part ? Take(π=22/7)
Answer:
Given:
radius of bigger half circle[R]=(7+7+14)/2=14cm
radius of smaller half circle [r]=14/2=7cm
Area of shaded region =1/2[πR² -πr²]
=1/2×22/7×[14²-7²]=231cm²
Area of shaded region=231cm²
A rectangle has an area of 72 square units. The width of the rectangle is 9 units. The length of the rectangle is 2x + 4.
What is the rectangle's length?
A. 6
B. 7
C. 8
D. 9
Answer:
8
Step-by-step explanation:
If you plug in the answers it will give you 9x6= 54 which is wrong and 9x7=63 and 9x9=81 but 9x8=72.
Answer:
C length = 8
Step-by-step explanation:
Area of Rectangle = lw
A = lw Substitute l = (2x + 4) ; w = 9
72 = (2x + 4)9
72 = 18x + 36
36 = -36
36 = 18x
36/18 = x
2 = x
Substitute into l = 2x + 4 ; l = 2(2) + 4; l = 4 + 4 ; l = 8
What is the answer and how did you get it
Answer:
1400 is the perimeter
Step-by-step explanation:
238x2=476
435x2=870
27x2=54
476+870+54=1400
Please help
TEACHING TEXTBOOKS GEOMETRY
Answer:
x=125 y=130
Step-by-step explanation:
I believe if you add 50+75 you get x
50+75=125
And if you subtract 180 from 50 you get y
180-50= 130
The reason being is because the two numbers inside the triangle add up to the number outside of the triangle "x". Then you would subtract 180 from 50 because that is a supplementary angle meaning it adds up to 180 to get the number on the outside of the triangle "y".
Hope this helped!
A department store buys 300 shirts at a cost of $1,800 and sells them for $9 each. What is the percent markup? A department store buys 300 shirts at a cost of $1,800 and sells them for $9 each. What is the percent markup?
The percent markup of a department, if they sell 300 shirts at a cost of $9 each is 50%
According to the question, we learn that a department store buys 300 shirts at a cost of $1,800 and sells them for $9 each. This means :
The selling price of 300 shirts = 300 × $9
The selling price of 300 shirts = $2700
Selling price > cost price i.e., 2700 > 1800
when selling price is greater than cost price it means department store made a profit.
Profit = selling price - cost price
Profit = 2700 - 1800 = $900
Profit percentage = profit/ cost price × 100
Profit % =\(\frac{900}{1800} \times 100\)
Profit % = 50%
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tell me the answer on this question pleaseWhat is the range of the data below?
A box-and-whisker plot. The number line goes from 50 to 100. The whiskers range from 52 to 93, and the box ranges from 60 to 89. A line divides the box at 82.
22
28
42
Answer:
41
Step-by-step explanation:
93-52=41
Find an equation for the line perpendicular to the tangent to the curve y=x3−4x+1 at the point (2,1).
The equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.
To find the equation of the line perpendicular to the tangent to the curve at (2,1), we need to first find the slope of the tangent line at that point.
The derivative of y=x^3-4x+1 is y'=3x^2-4, so the slope of the tangent line at (2,1) is y'(2) = 3(2)^2-4 = 8.
Since we want the line perpendicular to the tangent, we know that its slope will be the negative reciprocal of the tangent's slope. Therefore, the slope of the line we're looking for is -1/8.
Next, we use the point-slope form of the equation of a line to write the equation of the line with the slope we found and passing through the point (2,1):
y - 1 = (-1/8)(x - 2)
Simplifying and putting the equation in slope-intercept form:
y = (-1/8)x + 9/8
Therefore, the equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.
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We get statistics of 2017-2018 Average Starting Teacher Salaries by State measured by NEA. Given that the salary of Colorado is 33483, the sample size is 4,900 and the standard deviation is 602.694. a. What is the margin of error for a 95% confidence interval in Colorado
Help ASAP get 10 points
Which equation represents a line which is parallel to the line y=-3/4 x -2
Answer: Any equation that is of the form y = -3/4x + b, where b is a real number, will be parallel to y = -3/4x - 2.
Step-by-step explanation:
A parallel line has the same slope as the original line. Therefore, if the equation of the original line is y = mx+b, m (the slope) will remain the same, while b can change.
The equation y = -3/4x - 2 has the same slope -3/4, represents a line which is parallel to the line y=-3/4 x -2
What is a linear function?A function that can be represented in the form of y =mx +c, is called a Linear Function. where m is the slope and c is the y-intercept.
The slope of the given line can be found as;
A parallel line has the same slope as the original line. Thus, if the equation of the original line is y = mx+b, m (the slope) will remain the same, while b can change.
Any equation that is of the form y = -3/4x + b,
where b is a real number, will be parallel to the equation.
y = -3/4x - 2.
m = -3/4
The equation y = -3/4x - 2 has the same slope -3/4, represents a line which is parallel to the line y=-3/4 x -2
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A line is given by the equation y=52. What is the equation of the perpendicular line that passes through the point (-29,44)? The equation of the line is given by x=
Answer:
x= -29
Step-by-step explanation:
You have the point (-29, 44). The x coordinate is -29, which means your equation is x=-29. You can check your answer by graphing x= -29, y=52, and (-29, 44) on desmos.
A heard of elk increased from 75 in 1998 to 310 in 2005. Find the annual percent of increase for this heard.
Answer:
\(313.3333\%\)
Step-by-step explanation:
Based on given conditions, formulate:
\( \frac{310 - 75}{75} \)
Calculate the sum:
\( \frac{253}{75} \)
Simplify it:
\( \frac{47}{15} \)
Convert that to a decimal:
\(3.133333\)
Multiply that:
\(3.133333 \times \frac{100}{100} \)
Calculate that:
\( \frac{3.133333 \times 100}{100} \)
Convert that:
\(313.3333\%\)
May someone please help me out with this math problem?
Answer:
23.6°
Step-by-step explanation:
We solve using the Trigonometric function of Sine
sin θ = Opposite/Hypotenuse
Opposite = 2
Hypotenuse = 5
m ∠W = θ
Hence:
sin θ = 2/5
sin θ = 0.4
θ = arc sin (0.4)
= 23.578178478°
Approximately = 23.6°
Identify the equation that represents a proportional relationship.
a) y= -3x + 2
b) y = 2x + 4
c) y = kx
d) y = k + 7
How to find inflection points from second derivative.
To find inflection points from the second derivative, follow these steps Calculate the second derivative of the function. Set the second derivative equal to zero and solve for the critical points.Determine the sign changes of the second derivative around each critical point. Identify the intervals where the sign changes occur.
Analyze the behavior of the function within each interval to determine the presence of inflection points. To understand the process more thoroughly, start by calculating the second derivative of the function. This can be done by differentiating the function twice with respect to the independent variable. Next, find the critical points by setting the second derivative equal to zero and solving the resulting equation. Once you have the critical points, examine the sign changes of the second derivative around each point.
A change from positive to negative or vice versa indicates a potential inflection point. Finally, analyze the behavior of the function within each interval to confirm the presence of inflection points. Keep in mind that not all critical points will correspond to inflection points, so it is essential to consider the behavior of the function in each interval.
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Please help! It’s due tomorrow it also says to show my work
Given:
The inequality is
\(x+19\leq 23\)
To find:
The value of x and then graph on the number line.
Solution:
We have,
\(x+19\leq 23\)
Subtracting 19 from both sides, we get
\(x+19-19\leq 23-19\)
\(x\leq 4\)
It means all the real values of x which are less than or equal to 4 are in the solution set. So, an arrow approaches towards left from x=4 as shown in the below figure.
How do I graph this linear function
x < -1
This is how the linear function looks.
The quotient of six and one
A quotient of a number and 6
Explanation: Quotient means that you divide something by another. Let's let n be the "number". Therefore, "a quotient of a number and 6" refers to n6 or n÷6 .
At what point does the line given by the following equation cross the y-axis?
y = -2x + 3
The given line y = -2x + 3 will cross the y-axis at (0, 3).
Coordinate plane:A coordinate plane is a two-dimensional plane that consists x-axis and a y-axis. These are perpendicular to each other and will be intersected at the point called the origin.
The coordinates of the point that lies on the y-axis are (0, y), Similarly, the coordinates of the point that lies on the x-axis are (0, x).
Here we have
The equation of the line is y = -2x + 3
To find the required point take x = 0
=> y = -2(0) + 3
=> y = 0 + 3
=> y = 3
Therefore,
The given line y = -2x + 3 will cross the y-axis at (0, 3).
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write the equation of the line that is perpendicular to x+y=-5 and passes through the point (7,3)
Answer:
x - y = 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x + y = - 5 ( subtract x from both sides )
y = - x - 5 ← in slope- intercept form
with slope m = - 1
Given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-1}\) = 1 , thus
y = x + c ← is the partial equation
To find c substitute (7, 3) into the partial equation
3 = 7 + c ⇒ c = 3 - 7 = - 4
y = x - 4 ← equation in slope- intercept form
subtract y from both sides
0 = x - y - 4 ( add 4 to both sides )
4 = x - y , that is
x - y = 4 ← equation in standard form
Notice that two children are 26.25 inches tall. One has a head circumference of 17.2 inches; the other has a head circumference of 17.4 inches. How can this be?
Two children are both 26.25 inches tall, but one has a head circumference of 17.2 inches and the other has a head circumference of 17.4 inches. The circumference is the distance around the edge of a circular object. It is the measurement of the perimeter of a circle.
The formula for calculating the circumference of a circle is:
C = 2πr
where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle (the distance from the center of the circle to any point on the edge).
This can be because every individual, including children, have unique body proportions. Factors such as genetics, nutrition, and health can influence the differences in head circumferences, even if the children have the same height. So, it is quite normal for two children with the same height to have different head circumferences.
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Help me!
In the figure angles of ∠ABC and ∠PQR are equal.
a) Would their sides also be equal?
b) Why?
l want correct answers!
Answer:
Yes
Step-by-step explanation:
The reason can simply because they are similar shapes (triangle) which reports same sides same angle
An algorithm is a calculation that determines how long it will take to solve a problem. True or False?
The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.
An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.
Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.
Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.
In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.
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find the sum and express it in it's lowest terms 3/11 + 2/3=
Answer:
\(\frac{31}{33}\)
Step-by-step explanation:
You need a common denominator to add. The smallest number that is divisible by both 11 and 3 is 33. Rewrite both fractions with a denominator of 33
\(\frac{3}{11}\) x \(\frac{3}{3}\) \(\frac{3}{3}\) is just another name for 1. We are making an equivalent fraction. Multiple 3 x3 for the top and 11 x 3 for the bottom to get:
\(\frac{9}{33}\)
Do the same for \(\frac{2}{3}\)
\(\frac{2}{3}\) x \(\frac{11}{11}\) \(\frac{11}{11}\) is just another name for 1. We are making an equivalent fraction. Multiple 2 x 11 for the top and 3 x 11 for the bottom to get:
\(\frac{22}{33}\)
Now add these two fractions together:
\(\frac{9}{33}\) + \(\frac{22}{33}\) = \(\frac{31}{33}\)
Can someone help on this please? Thank youu;)
The equation of the line is written in the different forms
slope-intercept form: y = (-3/4)x + 6point slope form: y - 6 = (-3/4)xstandard form: 3x + 4y = 24How to write the equation of the lineCalculate the slope (m) using the formula:
m = (0 - 6) / (8 - 0)
m = -6 / 8
m = -3/4
Plug in the slope (m) and one of the given points (x1, y1) into the slope-intercept form to find the y-intercept (b):
y = mx + b
6 = (-3/4)(0) + b
6 = b
Substitute the y-intercept (b) into the equation:
y = (-3/4)x + 6
In point-slope form:
y - y1 = m(x - x1)
Using the point (0, 6):
y - 6 = (-3/4)(x - 0)
y - 6 = (-3/4)x
In standard form:
To convert the equation to standard form, we can manipulate the equation to have the form Ax + By = C, where A, B, and C are constants.
y - 6 = (-3/4)x
Multiply both sides by 4 to eliminate the fraction:
4(y - 6) = -3x
4y - 24 = -3x
Rearrange the equation to have x and y on the same side and a constant on the other side:
3x + 4y = 24
This is the equation in standard form.
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-5√243-3√27
√500+√20+11√5
2√45+2√90+3√45
3√54+3√3-2√384
3√7+2√32-4√175
√20+2√80+√72-√5
-3√28+8√3-√3007√112
4√24-2√80+11√6-3√216
Answer: -8969.31346074
Explanation: its the answer because thats what i got when i did the math
A function is given by a formula. Determine whether it is one-to-one. f(x) = x² – 3x By definition a one-to-one function never takes on the same value twice. In other words, f(x1) + f(22) whenever 21 + x2. The graph of the function f(x) = x2 – 3x is a parabola. The function has two roots; the smaller is z = and the larger is x = Since we have two roots, there are two different values of x for which f(x) = 0. From this we can conclude whether f(x) is one-to-one.
The function f(x) = x² - 3x is not one-to-one.
Does the function f(x) = x² - 3x satisfy the condition of being one-to-one?To determine whether the function f(x) = x² - 3x is one-to-one, we need to examine whether it takes on the same value twice.
The function f(x) = x² - 3x is a quadratic function represented by a parabola. To find the roots of the function, we set f(x) equal to zero:
x² - 3x = 0
Factoring out x:
x(x - 3) = 0
From this, we find that the function has two roots: x = 0 and x = 3. These are the values of x for which f(x) equals zero.
Since the function has two distinct values of x that yield the same output of zero, we can conclude that it is not one-to-one.
A one-to-one function should never take on the same value twice, but in this case, we have multiple x values (0 and 3) that result in the same output (zero).
Therefore, the function f(x) = x² - 3x is not one-to-one.
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Using the analytical method, what is the resultant when the following three vectors are added together: V
1
=30kN<240
∘
,V
2
=15kN<130
∘
, and V
3
=20kN<0
∘
?
15kN<252
∘
16kN<193
∘
39kN<295
∘
38kN<97
∘
Question 10 (1.5 points) Submit a photograph of your calculations to support your answer in the previous question. Take a photo and upload it using the "Add File" button below. Alternatively, you may type out your calculations in the text box below.
The resultant of the given three vectors is 39kN<295∘. The calculation is shown in the image below.
Using the analytical method, the resultant when the following three vectors are added together:
V1 = 30kN<240∘,
V2 = 15kN<130∘, and
V3 = 20kN<0∘ is 39kN<295∘.
Analytical method involves the method of adding vectors algebraically by converting the vector to the horizontal and vertical components.
In the question given, Vector
V1 = 30kN<240∘ is given to us.
Hence, it is necessary to find out the horizontal and vertical components as shown below,
V1 = 30(cos 240k + sin 240j) kN = -15k -25.98j kN.
Hence, the resultant of the three vectors can be computed by adding the three vectors' horizontal and vertical components using the following formula.
Rx = Σ FxRy
= Σ FyR
= sqrt(Rx^2 + Ry^2)θ
= tan^-1(Ry/Rx)
Applying this formula, the resultant of the three vectors is R = 39 kN and the angle made by the resultant with the x-axis is 295°.
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100 POINTS!!!!!!!!!!! ( I NEED FAST ANSWERS ) The table below shows Karen's distance during the
marathon. Between which hours does Karen run the fastest?
Answer:
Between 6 and 9 hours.
Reason: the slope increases during 6-9 hour period.