Answer:
yes
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
12/3 is a proportion as it is an improper fraction, and those are normal.
A running circuit is in the shape of a triangle with lengths of 6km, 6.5km and 7km. What are the sizes of the angles (in minutes) between each of the sides?
A triangle is an example of a class of figures referred to as plane shapes. It has three straight sides and three internal angles which sum up to \(180^{o}\). The measures of the internal angles of the triangle given in the question are A = \(52.6^{o}\), B = \(59.4^{o}\), and C = \(68^{o}\).
A triangle is an example of a class of figures referred to as plane shapes. It has three straight sides and three internal angles which sum up to \(180^{o}\).
Considering the given question, let the sides of the triangle be: a = 6 km, b = 6.5 km, and c = 7 km.
Apply the Cosine rule to have:
\(c^{2}\) = \(a^{2}\) + \(b^{2}\) - 2ab Cos C
So that;
\(7^{2}\) = \(6^{2}\) + \((6.5)^{2}\) - 2(6 * 6.5) Cos C
49 = 36 + 42.25 - 78Cos C
78 Cos C = 78.25 - 49
= 29.25
Cos C = \(\frac{29.25}{78}\)
= 0.375
C = \(Cos^{-1}\) 0.375
= 67.9757
C = \(68^{o}\)
Apply the Sine rule to determine the value of B,
\(\frac{b}{Sin B}\) = \(\frac{c}{Sin C}\)
\(\frac{6.5}{Sin B}\) = \(\frac{7}{Sin 68}\)
SIn B = \(\frac{6.5 *Sin 68}{7}\)
= 0.861
B = \(Sin^{-1}\) 0.861
= 59.43
B = \(59.4^{o}\)
Thus to determine the value of A, we have;
A + B + C = \(180^{o}\)
A + \(59.4^{o}\) + \(68^{o}\) = \(180^{o}\)
A = \(180^{o}\) - 127.4
= 52.6
A = \(52.6^{o}\)
Therefore the sizes of the internal angles of the triangle are: A = \(52.6^{o}\), B = \(59.4^{o}\), and C = \(68^{o}\).
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A circle has a circumference of 6. It has an arc of length 1.
What is the central angle of the arc, in degrees?
The circumference formula for a circle is C=πd where C is the circumference, d is the diameter of the circle and π is a constant. If you plug in 6 for C and solve the equation for d like:
6= πd and then divide both sides of the equation by π you get that d = 1.90
To find the central angle of an arc you would use the equation S = rθ where S is the length of the arc, r is the radius of the circle, and θ is the measure of the angle which in this case is unknown. So with S = 1 and r = d/2 = 1.90/2 = 0.9549 you would have an equation that looks like this:
1 = 0.9549θ
Answer:
60
Step-by-step explanation:
1/6 x 360
Central angle is equal to measure of intercepted arc.
60 degrees
If sydney answer 15 questions in the first section correctly what is the minimum number of questions she must have answered correctly in the second section
Answer:
8 Is correct on EDGE 2020
Step-by-step explanation:
Just took the test and got it right
The question was incomplete. Below you will find the missing content.
The questions on the first section on a test value 3 points and the questions in the second section carries 5 points. if sydney answer 15 questions in the first section correctly what is the minimum number of questions she must have answered correctly in the second section.And the maximum points she scored is 80.
Answer:
Sydney must have answered at least 8 answers in the second section.
Concept
What is Inequality?
Inequality is a condition which compare algebraic expression using greater than(>), less than(<) symbols. It also shows values greater than equal to(≥), less than equal to(≤) and not equal to(≠) signs to solve the equation.
let x represent the number of correct questions in the first section, and let y represent the number of correct questions in the second question.Therefore the inequality representing her score is 3x + 5y > 80
Solution:
Following the inequality 3x+5y>80, 3x represents sydney's score in the first section which is equal to 3ₓ15 = 45
Now she needs to solve 8 questions in the second section to score
5 ₓ 8 = 40 for the inequality to be maintained.
i.e 3 ₓ 15 + 5 ₓ 8 > 80
45 + 40 > 80
85 > 80
If she solves 7 questions in the second section then the total score will be 45 + 45 ⊅ 80
Therefore sydney answers 8 questions correctly in the second section.
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pls help asap if you can!!
The ∆ABC is an isosceles triangle and have the base angles m∠A and m∠C equal to 51° and the angle m∠B is equal to 78°.
What is an Isosceles triangleAn isosceles triangle have the measure of its base angles to be equal, and the sum of the interior angles sum up to 180°.
Given that sides AB ≅ BC, then the triangle ∆ABC has two sides with similar length and base angles so;
angles m∠A and m∠C are the base angles are both equal to 51°
m∠B = 180° - (51 + 51)° {sum of interior angles of a triangle}
m∠B = 180° - 102°
m∠B = 78°
Therefore, the isosceles triangle ∆ABC have the base angles m∠A and m∠C equal to 51° and the angle m∠B is equal to 78°.
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one side of a regular hexagon is extended to create an exterior angle. what is the measure of such exterior angle?a. 45b. 50c. 60d. 65e. it cannot be determined based on the information provided.
Since one side of a regular hexagon is extended to create an exterior angle, the measure of such exterior angle is: C. 60.
How to determine the exterior angle?In Mathematics and Geometry, the sum of the interior angles of both a regular and irregular polygon is given by this formula:
Sum of interior angles = 180 × (n - 2)
Note: The given geometric figure (regular polygon) represents a hexagon and it has 6 sides.
Sum of interior angles = 180 × (6 - 2)
Sum of interior angles = 180 × 4
Sum of interior angles = 720°.
Each interior angle = 720/6 = 120°.
When the hexagon is extended create an exterior angle, its measure is given by;
x + 120 = 180°.
x = 180° - 120°
x = 60°.
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Parralel lines cut by a transversal coloring activity. Please give explanation. Will give brainiest.
Step-by-step explanation:
Parallel lines cut by a transversal coloring activity is an activity that helps students understand the pattern of angles when parallel lines are cut by a transversal. The activity involves coloring the angles formed by the parallel lines and the transversal in different colors. This helps students identify the different types of angles formed and their relationships with each other.
A sample of hamburger had a total mass of 200. g, of which 30.0 g was found to be fat. what is the percent of fat in this hamburger sample?
The percentage of fat in this hamburger sample is 15 %.
What is percentage ?Percentage is the value per hundredth.
According to the given question a sample of hamburger had a total mass of 200. g, of which 30.0 g was found to be fat.
To find what percentage of the hamburger contains fat we put amount of fat in the numerator and total amount on the denominator and multiply this fraction by 100 to obtain the result in terms of percentage.
∴ (30/200) × 100
= 3000/200
= 30/2
= 15 %.
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Solve for d. d-8/-2 =12
Answer:
-16
Step-by-step explanation:
d - 8 / -2 = 12
d - 8 = 12 * -2
d - 8 = -24
d = -24 + 8
d = -16
Which number line correctly shows 1.5 + 2.5?
A number line going from 0 to 6.5 in increments of 0.5. An arrow goes from 0 to 1.5 and from 1.5 to 4.
A number line going from 0 to 6.5 in increments of 0.5. An arrow goes from 0 to 1.5 and from 1.5 to 3.
A number line going from 0 to 6.5 in increments of 0.5. An arrow goes from 0 to 2.5 and from 2.5 to 5.
A number line going from 0 to 6.5 in increments of 0.5. An arrow goes from 1.5 to 3 and from 3 to 5.5.
Answer:
I would venture to say that puts the first option. I may be wrong but I'd doubt it.
Number line going from 0 to 6.5 in increments of 0.5. An arrow goes from 0 to 1.5 and from 1.5 to 4.
What is Number system?A number system is defined as a system of writing to express numbers.
A number line is a picture of a graduated straight line that serves as visual representation of the real numbers.
We need to find which number line represents 1.5 + 2.5
When we add 1.5 + 2.5
One point five plus two point five
4.
So number line going from 0 to 6.5 in increments of 0.5. An arrow goes from 0 to 1.5 and from 1.5 to 4.
Hence, number line going from 0 to 6.5 in increments of 0.5. An arrow goes from 0 to 1.5 and from 1.5 to 4.
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Which value is the geometric mean of 15 and 22
Answer:
18.165902124585
Step-by-step explanation:
10 The scatterplot shows the number of people in each of 8 different households and the average amount of money each household spent on groceries. Weekly Grocery Expenses y A v e r a g eA mountS p u n t o nG g r o c e r i e s( d o l l a r s )320 280 240 200 160 120 80 40 Number of People in Household x 0 2 4 6 8 Based on the scatterplot, what is the best prediction of the average amount of money spent on groceries for a household that has 7 people
The best prediction of the average amount of money spent on groceries for a household that has 7 people can be determined by examining the scatterplot and estimating the corresponding value on the y-axis.
Based on the scatterplot, the best prediction for the average amount of money spent on groceries for a household with 7 people would be around $160.
To arrive at this prediction, we observe the position on the x-axis where the number of people in the household is 7. Then, we look at the corresponding position on the y-axis to determine the average amount of money spent on groceries. In this case, the scatterplot suggests that households with 7 people tend to spend around $160 on groceries.
It's important to note that this prediction is based on the pattern observed in the given scatterplot, and there may be some variability or uncertainty in the actual amount spent on groceries for a specific household with 7 people.
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If a die is rolled twice, what is the probability the sum will be more than 7?
(written as fractions)
13/24
18/36
5/12
15/36
Answer:
15/36
Step-by-step explanation:
The distance between 5,3 and 1,3
Answer:
(4,0)
Step-by-step explanation:
(5,3) (1,3)
You need to subtract from the x axis on both coordinates and the y axis in both coordinates.
(5-1) (3-3)
(4,0)
I also checked on a graph as well, so it's correct.
Manco went scuba diving. As he dove deeper, the water pressure around him increased at a constant rate.
The table compares Manco's depth (in meters) and the water pressure around him (in atmospheres).
What is the rate of change of the water pressure?
Answer:
0.1 atmospheres per meter
Step-by-step explanation:
Depth (meters) = x
Pressure (atmospheres) = y
Using two pairs of values from the table, (13, 2.3) and (17, 2.7),
Rate of change of the water pressure = \( \frac{y_2 - y_1}{x_2 - x_1} = \frac{2.7 - 2.3}{17 - 13} = \frac{0.4}{4} = 0.1 \)
Rate of change of the water pressure = 0.1 atmospheres per meter
Answer:
0.1 atmospheres per meter
Step-by-step explanation:
khan hints
how to find cox and cgd
To find Cox and Cgd, various measurement techniques can be used, such as impedance measurements, small-signal AC analysis, and high-frequency models.
Cox and Cgd are parameters in bipolar junction transistor (BJT) modeling.
Cox is the output capacitance and Cgd is the drain-to-gate capacitance. These capacitances affect the high-frequency behavior of the transistor and play an important role in circuit design and analysis.
The exact method depends on the type of transistor, the operating conditions, and the level of accuracy desired. In general, specialized equipment and a good understanding of circuit analysis and BJT modeling are required to accurately determine Cox and Cgd.
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Given that △PQR is similar to △PTS, which statement MUST be true?
Since triangle PQR is similar to triangle PTS
1) Side PQ is similar to side PT
2) Side QR is similar to side TS
3) side PR is similar to side PS
The median number of magazine appearances made by 7 models is 5. The range of number of magazine appearances by those models is 5. Determine if the following statement is true, is false, or does not contain enough information. If the fewest magazine appearances is 3, then the greatest number of appearances is 9.
Answer:not enough information
Step-by-step explanation:
Using definition of range = greatest - lowest , we found that given statement is false.
What is range of a given data?Range of a data is the difference between the highest and lowest quantity in the given data.
For example : Given data is 2,5,9,5,1
Range of this data = Highest - Lowest = 9-1 =8
Given the data of the number of appearances made by 7models
Median = 5
Range = 5
If the fewest magazine appearances is 3
We know that Range = Greatest number of appearances - fewest appearances
⇒ 5 = Greatest number of appearances - 3
⇒ 5 +3 = Greatest number of appearances
∴Greatest number of appearances = 5+3 = 8
But given is that the Greatest number of appearances will be 9 in the given statement.
∴ The given statement is false.
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when writing a decimal number that is less than 1, you must apply the _________ zero rule, to clarify the decimal point is there.
When writing a decimal number that is less than 1, you must apply the leading zero rule to clarify the decimal point is there.
What is leading zero rule ?The leading zero rule states that when writing a decimal number that is less than 1, you should include a leading zero before the decimal point to indicate that the number is less than 1. For example, if you want to write the decimal number 0.75, you should write it as "0.75" with a leading zero, rather than just "75", to indicate that it is a decimal number and not a whole number.This is important because it helps to clearly indicate the place value of each digit in the number. Without the leading zero, it might be difficult to tell whether the number is a decimal or a whole number. The leading zero rule helps to avoid confusion and ensures that decimal numbers are written clearly and accurately.To learn more about decimal number refer :
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State the name of the property illustrated. (2+1) + (6 +5) = (V6 +5) +(2+1)
The property illustrated in (2 + 1) + (6 + 5) = (6 +5) +(2 + 1) is the commutative property of addition
How to determine the name of the propertyFrom the question, we have the following parameters that can be used in our computation:
(2 + 1) + (6 + 5) = (6 +5) +(2 + 1)
In the above expression, we can see that
The terms of the expression are swapped
This can be illustrated as
if a + b = b + a
The name of the property is the commutative property of addition
Hence, the name of the property illustrated in (2 + 1) + (6 + 5) = (6 +5) +(2 + 1) is the commutative property of addition
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Assume y=5x and dx/dt = 2 find dy/dt
Answer: 10
Step-by-step explanation: since dx/dt = 2, you have to create an equation. dx/dt = dy/dt * dx/dy is your equation. now we substitute. 2 = dy/dt *dx/dy. find the derivative of 5x in terms of y (dx/dy), which is 1/5. so now your equation is 2 = dy/dt * 1/5. solve for dy/dt and your answer is 10.
assume that t is a linear transformation. find the standard matrix of t. t: ℝ2→ℝ2 first reflects points through the line x2=−x1 and then reflects points through the origin.
the standard matrix of the linear transformation T: ℝ² → ℝ², which first reflects points through the line x₂ = -x₁ and then reflects points through the origin, is:
[ -1 0 ]
[ 0 1 ]
To find the standard matrix of the linear transformation T: ℝ² → ℝ², we can determine how the basis vectors of ℝ² transform under the given transformation.
The standard basis vectors of ℝ² are:
e₁ = (1, 0) (corresponding to the x-axis)
e₂ = (0, 1) (corresponding to the y-axis)
First, let's apply the reflection through the line x₂ = -x₁:
For e₁ = (1, 0), the reflection through the line x₂ = -x₁ maps it to (-1, 0).
For e₂ = (0, 1), the reflection through the line x₂ = -x₁ maps it to (0, 1).
Next, let's apply the reflection through the origin:
For (-1, 0), the reflection through the origin keeps it the same (-1, 0).
For (0, 1), the reflection through the origin keeps it the same (0, 1).
Now, we have the transformed basis vectors:
T(e₁) = (-1, 0)
T(e₂) = (0, 1)
The standard matrix of the linear transformation T is constructed by placing the transformed basis vectors as columns:
[ -1 0 ]
[ 0 1 ]
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What's the answer to x3 y3 z3 K?
The required result will be 3xyz.
In mathematics, entirely by coincidence, there exists a polynomial equation for which the answer, 42, had similarly eluded mathematicians for decades. The equation x3+y3+z3=k is known as the sum of cubes problem.
For decades, a math puzzle has stumped the smartest mathematicians in the world. x3+y3+z3=k, with k being all the numbers from one to 100, is a Diophantine equation that's sometimes known as "summing of three cubes."
3xyz
∴ The required result will be 3xyz.
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hi! can someone help!? asap!!
Matilda has 16 3/4 hours to finish three consulting projects.how much time may she spend on each project ,if she plans to spend the same amount of time on each?
Time taken by Matilda on each project is \(5\frac{7}{12}\) hours.
According to the question we have been given that,
Total time taken by Matilda to complete the consulting projects = \(16\frac{3}{4}\) hours
First we will convert it into simple fraction which is
\(16\frac{3}{4} = \frac{67}{4} \\\) hours
Number of consulting projects = 3
And Matilda spends same amount of time to each of the project.
To find the time she spend on each project is by using unitary method
that is, 3 projects = \(\frac{67}{4}\) hours
1 project = \(\frac{67}{4} / 3\)
= 67/12
= \(5\frac{7}{12}\) hours
Hence time taken by Matilda on each project is \(5\frac{7}{12}\) hours.
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Write (5²)³ in index form
answer and i will sure mark u as brainliest
Answer: 1.5625*10exponet4
jason sells red blue and green raffle tickets he starts with 120 of each colour
jason managed to sell red blue and green tickets in the ratio 3:2:1
168 of the tickets remained unsold
work out how many of each colour ticket were sold
A bricklayer is building a wall. Each layer of the wall has the same number of bricks. The points on the following coordinate plane show how many bricks he used to make 2, 3, and 4 layers of the wall.
Answer:
50
Step-by-step explanation:
Follow the graph and the bricks go up by 50 per 1 layer
For 1 layer 50 bricks, for 2 layers 100 bricks, for 3 layers 150 bricks, and for 4 layers he uses 200 bricks.
What is a linear graph?The graph for a straight line is called the linear graph in the linear graph the increment of the data for both the axes is constant so it gave a linear relationship.
As we can see in the graph there is a relationship between the number of bricks and the layers of the bricks.
Therefore, for 1 layer 50 bricks, for 2 layers 100 bricks, for 3 layers 150 bricks, and for 4 layers he uses 200 bricks.
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Help me with those two questions
Given:
A figure in which a transversal line intersect two parallel lines.
\(m\angle 2=4x+7, m\angle 7=5x-13, m\angle 5=68\) and \(m\angle 3=3y-2\).
To find:
The value of x and y.
Solution:
We know that, if a transversal line intersect two parallel lines, then
(1) Alternate exterior angles are equal.
(2) Same sided interior angles are supplementary. So their sum is 180 degrees.
In the given figure j and k are parallel lines and l is a transversal line.
From the given figure, it is clear that,
\(m\angle 2=m\angle 7\) (Alternate exterior angles are equal)
\(4x+7=5x-13\)
\(7+13=5x-4x\)
\(20=x\)
Therefore, the value of x is 20.
Now,
\(\angle 3+\angle 5=180\) (Same sided interior angles are supplementary)
\(3y-2+68=180\)
\(3y+66=180\)
\(3y=180-66\)
\(y=\dfrac{180-66}{3}\)
\(y=\dfrac{114}{3}\)
\(y=38\)
Therefore, the value of y is 38.
Mrs. Jacksy served snacks on a circular plate. How many lines of symmetry were on the plate? A. 0 B. 2 C. 4 D. Infinite number
Answer:
D. Infinite number
Step-by-step explanation:
A circular plate can be rotated by a part of a degree and it will look the same (as long as it does not have a design on it)
Assuming this plate does not have a design on it, we can rotate through infinite number of lines of symmetry
Answer:
D. infinite number
Step-by-step explanation:
Hope this helps ^_^
list and describe two specialized alternatives not often used as a continuity strategy. quizlet
1. P-adic Numbers:
P-adic numbers are a specialized alternative not commonly used as a continuity strategy in mathematics. They are an extension of the real numbers that provide a different way of measuring and analyzing numbers. P-adic numbers are based on a different concept of distance, known as the p-adic metric. This metric assigns a measure of closeness or distance between numbers based on their divisibility by a prime number, p. P-adic numbers have unique properties and can be useful in number theory, algebraic geometry, and other branches of mathematics. However, they are not typically employed as a continuity strategy in practical applications.
2. Nonstandard Analysis:
Nonstandard analysis is a mathematical framework that provides an alternative approach to calculus and analysis. It introduces new types of numbers called "infinitesimals" and "infinite numbers" that lie between the standard real numbers but are infinitely smaller or larger than any real number. Nonstandard analysis allows for more rigorous treatment of infinitesimal quantities and provides a different perspective on limits, continuity, and differentiation. While nonstandard analysis has theoretical implications and can provide valuable insights in mathematical research, it is not commonly used as a continuity strategy in practical applications where standard analysis and calculus are more prevalent.
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