Answers
The missing side is 29, because in a triangle, the sum of the angles is 180°.
What is the triangle?A triangle is a three-sided polygon, a two-dimensional shape with three straight sides and three angles. It is one of the most basic shapes in geometry, and can be used to construct more complex shapes and figures such as rectangles and circles. Triangles come in many different varieties, including equilateral, isosceles, and scalene. The angles in a triangle add up to 180°, and the sides of a triangle are always connected.
In this case, 39° + X° = 180°, and X° = 180° - 39° = 141°. Since the angle is given in degrees, the side length can be found using the law of cosines, which states c^2 = a^2 + b^2 - 2ab cos C. In this case, c = 29, a = b = 11, and C = 141°. Plugging this into the equation, we get 29^2 = 11^2 + 11^2 - 2(11)(11)cos(141°). Simplifying and solving for c, we get c = 29. Therefore, the missing side is 29.
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Related Questions
the table and the graph represent two drones' distances from the ground. y, as a function of time, x. what is the rate of change Drone A
Answers
The rate of change is -2.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
From the table,
(0, 42), (1, 40) and (2, 38)
Rate of change of drone A.
= (40 - 42) / (1 - 0)
= -2/1
= -2
Thus,
-2 is the rate of change.
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20 picture cards are to be divided in some ratio between Gini and Kimi. Which of these could be the ratio?
Answers
Answer:
Step-by-step explanation:
10
20 divide by 2=10
a heavy rope, 30 ft long, weighs 0.8 lb/ft and hangs over the edge of a building 100 ft high. how much work w is done in pulling the rope to the top of the building? (a) how much work w is done in pulling the rope to the top of the building? show how to approximate the required work by a riemann sum, then express the work as an integral and evaluate it. (b) a heavy rope, 30 ft long, weighs 0.8 lb/ft and hangs over the edge of a building 100 ft high. how much work w is done in pulling half the rope to the top of the building?
Answers
(a) The work done in pulling the rope to the top of the building is approximately 4800 ft-lb.
(b) The work done in pulling half the rope to the top of the building is approximately 2400 ft-lb.
The work done in pulling the rope to the top of the building can be calculated using a Riemann sum:
W = Σ (0.8 lb/ft) x (g) x (Δx)Where Δx is a small change in the length of the rope, g is the acceleration due to gravity (32 [tex]ft/s^2[/tex]), and the sum is taken over the entire length of the rope (from 0 to 100 ft).
Expressing the work as an integral, we have:
W=∫ [tex]0^{100} (0.8 lb/ft) x (g) x (x) dx[/tex]
Evaluating this integral gives us the work done in pulling the rope to the top of the building:
[tex]W = (0.8 lb/ft) x (g) x (x^2/2)[/tex] evaluated from x=0 to x=100
W = 4800 ft-lb
(b)To find the work done in pulling half the rope to the top of the building, we simply evaluate the integral from x=0 to x=50 (the length of half the rope).
W = [tex](0.8 lb/ft) x (g) x (x^2/2)[/tex] evaluated from x=0 to x=50
W = 2400 ft-lb.
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At the baseball game, nachos are $6.00 and hotdogs are $3.00. A group of 8 friends orders one item each and pays a total of $36.00.
Write an equation for the total amount of money spent. Let nachos be denoted by x and hotdogs by y.
Write an equation for the total number of items purchased. Let nachos be denoted by x and hotdogs by y.
Rewrite the equation for the total amount of money spent in slope-intercept form.
Rewrite the equation for the total number of items purchased in slope-intercept form.
Find the total of hotdogs and nachos sold
Answers
1. The equation for the total amount of money spent is: 6x + 3y = 36.
2. The equation for the total number of items purchased is: x + y = 8.
3. The slope-intercept equation is: y = -2x + 12
4. The equation is y = -x + 8
5. Total number is 8.
How to Write an Equation?The slope-intercept equation is expressed as y = mx + b.
1. The total amount of money spent can be represented by the equation: 6x + 3y = 36, where x represents the number of nachos and y represents the number of hotdogs.
2. The total number of items purchased can be represented by the equation: x + y = 8, where x represents the number of nachos and y represents the number of hotdogs.
3. To write the equation for the total amount of money spent in slope-intercept form, we need to solve for y:
6x + 3y = 36
3y = -6x + 36
y = -2x + 12
4. To write the equation for the total number of items purchased in slope-intercept form, we need to solve for y:
x + y = 8
y = -x + 8
5. The total number of hotdogs and nachos sold is 8, which is the sum of x and y.
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The science club designs a series of posters that all have the same
four sections. Each poster measures 18 in. wide and 24 in. tall.
Look at the Description and Small Diagram sections. Label the
diagram to show the combined width of these two sections.
Answers
When the length of 2 section combined is 18 in
width is 12 in
When the length of 2 section combined is 24 in
width is 9 in
What is Rectangle ?A quadrilateral with four right angles is a rectangle. It may alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.
Rectangles have the following basic characteristics:
They are quadrilaterals.The opposing sides are level and parallel to one another.90 degrees is the angle of each interior.360 degrees is the total of all interior angles.The diagonals cut each other in half.The length of both diagonals is the same.The length of the poster is 24 in
The width of the poster is 18 in
The area of the poster = 24*18 = 432 in²
The area of each section of the poster is 432/4 = 108 in².
Length of each section is 24/2 = 12 in
Width of each section is 18/2 = 9 in
The total length when 2 sections are combined is 9 + 9 = 18 in
or, 12 + 12 = 24 in
When the length of 2 section combined is 18 in
width is (108*2)/18 = 12 in
When the length of 2 section combined is 24 in
width is (108*2)/24 = 9 in
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a cylindrical drinking glass has a diameter of 2.5 in. and is 5.5 in. tall. what is the volume of the drinking glass in cubic centimeters?
Answers
The volume of the drinking glass in cubic centimeters is 442.4189 cm^3 .
The cylinder is a three-dimensional shape having a circular base.
A cylinder can be seen as a set of circular disks that are stacked on one another.
The volume of a three-dimensional shape is equal to the amount of space occupied by that shape.
Now, think of a scenario where we need to calculate the amount of sugar that can be accommodated in a cylindrical box.
For any cylinder with base radius ‘r’, and height ‘h’, the volume will be base times the height.
Therefore, the cylinder’s volume of base radius ‘r’, and height ‘h’ = (area of base) × height of the cylinder
Since the base is the circle, it can be written as
Volume = πr^2 × h
Therefore, the volume of a cylinder = πr^2h cubic units.
diameter of 2.5 in
r = 2.5/2 in.
r = 1.25 in
r = 3.175 cm
cylindrical drinking glass 5.5 in. tall
h = 5.5 in.
h = 13.97cm
volume of the drinking glass
Volume = πr^2 × h
= π ( 3.175)^2 × 13.97 cm^3
= 442.4189 cm^3
The volume of the drinking glass in cubic centimeters is 442.4189 cm^3 .
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8x - 2y = 16
- 4x + y = 8
Answers
Answer: i think its B the slope is 8 and the y-intercept is -3/2 the candle starts at a height of 3/2 of an inch and decreases 8 inches every hour
i said i think so srry if you get it wrong :)
Step-by-step explanation:
The probability a certain spinner will land on 1 is 15%, 2 - 20%, 3 - 30%, 4 - 35%/ What is the expected value (mean) the spinner will land on?
A. 2.15
B. 2,5
C. 2,75
D. 2.85
Answers
The expected value is calculated by multiplying each possible outcome with its probability and then summing the values. The possible outcomes are 1 (15%), 2 (20%), 3 (30%), and 4 (35%). Thus, the expected value is 0.15*1 + 0.2*2 + 0.3*3 + 0.35*4 = 2.75.
Anita purchaed a new building for her buine. Being in the prime location, he decided to
make ome more money by putting up an advertiement ign for a rental ad income on the roof
of the buildin
Answers
Anita has acquired a new building, which is located in a prime location. She aims to generate additional income by putting up an advertisement sign for rental purposes on the roof of the building.
By placing an advertisement sign on the roof, Anita is making use of the building's prime location and visibility to attract potential tenants. The sign is a cost-effective way of advertising her building and helps to reach a large audience, who may be interested in renting a space in the building.
Additionally, the rental income generated from the advertisement sign will help to offset the costs of owning the building, making it a profitable investment for Anita in the long run. By utilizing all the resources at her disposal, she is making smart business decisions that will help her achieve her financial goals.
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The complete question is-
What is the plan of Anita for the new building that she purchased for her business?
HELP pls show work also WILL MARK BRAINLIEST IF CORRECT
Answers
Answer:
Below
Step-by-step explanation:
Company 1 charges 9.25 for 2.5 pounds and 14.50 for 6 pounds
so (6-2.5) pounds costs (14.50 - 9.25)
3.5 pounds cost an increase of 5.25
5.25 dollars / 3.5 pounds = 1.50 per pound
Company 2 's rate is the slope of the line = (7.25-6.50)/ 1 = .75 dollar per pound ( found by looking at the cost of 1 pound and the cost of 2 pounds)
Fixed cost for company 2 is the value where x = 0......the y-axis intercept = $ 5.75
Answer:
Step-by-step explanation:
Company 1: find constant rate = Δy/Δx, from any two (x,y) pairs on the data table
Constant rate = (14.50 - 9.25) / (9.25 - 2.5) = 1.5
Company 2 constant rate = $1.50/lb
Find the fixed fee for Company 1 by finding the y-intercept.
y - y1 = m(x - x1) Choose any (x,y) from the data table
y - 9.25 = 1.50(x - 2.5) Now put the equation in slope-intercept form.
y = 1.50x - 3.75 + 9.25
y = 1.50x + 5.50
Company 1 fixed fee = $5.50
Company 2: find the slope of the line to get the constant rate, pick any 2 points on the line.
m = Δy/Δx = (7.25 - 5.75) /(2 - 0) = 0.75
Company 2 constant rate = $0.75/lb
Find the fixed fee by finding the y-intercept on the graph (where the line intersects the y axis at x = 0)
Company 2 fixed fee = $5.75
if a is any rectangular matrix prove that a*a and aa* are both hermitian
Answers
A matrix A is said to be hermitian if it satisfies the property A = A*
A* Means the conjugate transpose of A
Here
Given that A is a rectangular matrix.
we can prove that AA and AA are both hermitian by showing that AA = (AA)* and AA* = (AA*)*
we will prove that A*A is hermitian:
(AA) = (A*)A = A*A
AA = (AA)
so we can see that it is "AA" indeed hermitian,
Now we will prove that AA* is hermitian
(AA*)* = A*(A*)* = A*A
AA* = (AA*)
AA is indeed hermitian.
given any rectangular matrix A, we have shown that AA and AA are both hermitian, as they both satisfy the property of A = A*.
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A matrix A is said to be hermitian if it satisfies the property A = A*
A* Means the conjugate transpose of A
Given that A is a rectangular matrix.
we can prove that AA and AA are both hermitian by showing that AA = (AA)* and AA* = (AA*)*
we will prove that A*A is hermitian:
(AA) = (A*)A = A*A
AA = (AA)
so we can see that it is "AA" indeed hermitian,
Now we will prove that AA* is hermitian
(AA*)* = A*(A*)* = A*A
AA* = (AA*)
AA is indeed hermitian.
given any rectangular matrix A, we have shown that AA and AA are both hermitian, as they both satisfy the property of A = A*.
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Amir buys a car for £11985 which depreciates in value at a rate of 4.25% per year.
Work out how much Amir's car will be worth in 5 years.
Answers
The amount that Amir's car will be worth in 5 years is £9, 645. 09
How to determine the valueFrom the information given, we have that;
£11985 is the initial amount4.25% is the rate of depreciationFor the first year, we have;
= £11985 × 4.25/100
= £509. 36
For the second year
= £ 11475 × 0. 0425
= £487. 71
For the third year
= £10, 987. 28 × 0. 0425
= £466. 96
For the fourth year
= £10, 520.32 × 0. 0425
= £447. 1136
For the fifth year
= £ 10. 073. 20 × 0. 0425
= £428. 111
Hence, the value is £9, 645. 09
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what are the next three terms of the arithmetic sequence the first term is 3 common difference is 11
Answers
Answer:
second term=14
third=25
fourth=36
Step-by-step explanation:
n= the first term in the sequence+(n-1) times the common difference between terms
here n=3, because you asking for third term, so is 25
second term=14
third=25
fourth=36
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thank
You are given the equation 13 = 2x + 5 with no solution set.
Part A: Determine two values that make the equation false. (2 points)
Part B: Explain why your integer solutions are false. Show all work. (2 points)
Answers
Answer:Determine two values that make the equation false. (2 points)
Step-by-step explanation:
Answer: You are only giving 4 point!
Step-by-step explanation:
. the second hand on a clock is 5 inches long. how far (to the nearest tenth of an inch) does the tip move in 10 seconds?
Answers
The tip of the second hand of the clock moves a distance as far as 5.2 inches in 10 seconds.
The distance traveled by the tip of the second hand on a clock can be calculated by using the formula for circumference of a circle, which is:
C = 2πr
where C is the circumference, π is approximately equal to 3.14159, and r is the radius.
If the length of the second hand is 5 inches, then the radius of the circle is 5 inches.
Therefore, the circumference of the circle traced by the tip of the second hand is C = 2πr = 2π(5 inches) = 10π = 31.4159
If we assume that the second hand moves at a constant speed, then the distance traveled by the tip in 10 seconds is equal to the circumference of the circle multiplied by the fraction of the circumference covered in 10 seconds.
Since the second hand completes one full revolution in 60 seconds, then in 10 seconds it covers 1/6 of the circumference. Therefore, the distance traveled by the tip in 10 seconds is:
1/6 C = 1/6(31.4159 inches) = 5.23598 inches
Round off to the nearest tenth of an inch.
5.23598 inches = 5.2 inches
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given the matrix a=⎡⎣⎢aa39−6−259a⎤⎦⎥, find all values of a that make |a|=0. give your answer as a comma-separated list.
Answers
The values of a that make |a| = 0 are the roots of the cubic polynomial equation -6a^3 + 27a^2 + 81 = 0.
What is polynomial ?
A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.
To find the values of a that make the determinant of the matrix |a| equal to 0, we need to evaluate the determinant of the matrix:
|a| = a * (-6a + 9) - (3a^2 - 9) * 9
= -6a^3 + 27a^2 + 9a * 9 = 0
We can then solve for a using polynomial roots:
-6a^3 + 27a^2 + 81 = 0
The values of a that make |a| = 0 are the roots of the cubic polynomial equation -6a^3 + 27a^2 + 81 = 0.
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2. The Math Club is selling t-shirts as a fund-raiser. The function rule C = 9n +45 represents
their cost, with Crepresenting the total cost of the order, and n representing the
number of shirts. What could the numbers in the function represent? Select all that
apply.
Answers
C= the total cost
9= the cost of each shirt
45= could be some other variable (donation, how much they have so far, etc.)
What’s the answer!!!!
Answers
Answer:
Without rounding $24.58 alternately $24.95 would be a comparable price as well and would also fit the parameters.
Step-by-step explanation:
50 ÷ 6 = 8.33
$ 2.95 × 8.33 = $24.58
gavin and philip have a combined age of 31. gavin is 4 years older than twice philips age. how old are gavin and philip?
Answers
in a poker game with a standard 52 card deck, what is the probability of drawing a five-card hand without any queens?
Answers
Out of 52 cards, there is only one Queen of Hearts. Hence, then, the probability = 47/52
5 cards can be chosen from a deck of 52 cards in ⁵²C₅
In order to avoid choosing a queen of hearts, we must choose 5 cards. There is only one queen of hearts in a deck of 52 cards. There are still 51 cards left, and 5 of them can be chosen in ⁵²C₅.
Therefore, the likelihood that a five-card poker hand does not include the queen of hearts is equal to ⁵¹C₅/⁵²C₅
47/52
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The full question
What is the probability that a five-card poker hand does not contain the queen of hearts?
Linear Equation
X
Linear Inequality
What's the same with the two functions?
What's different with the two functions?
Q
S
Submitt
Answers
Answer:
Step-by-step explanation:
the this it the r po ggr
<
Find the surface area of the cube shown below.
units2
NIT
Answers
Check the picture below.
so we really have 6 faces, each one with an area of 2½ x 2½
[tex]\stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the 6 faces }}{6\left( \cfrac{5}{2}\cdot \cfrac{5}{2} \right)}\implies 6\cdot \cfrac{25}{4}\implies \cfrac{75}{2}\implies 37\frac{1}{2}[/tex]
Consider the given circles.
Order the sectors from least to greatest according to their areas, in square units?
Answers
Note that according to the areas of the circles in square units, the circles ordered from the least to the greatest is:
Area of a circle with a Diameter of 19Area of a circle with Circumference 87.92 unitsa circle with an area of 1,040.09 square units.a circle with a radius of 27 units.What is the Justification for the above arrangement?To determine the correct order, we need to solve for the areas of all the circles given the various factors provided.
A) a circle with an area of 1,040.09 square units. (Area given)
B) a circle with a radius of 27 units
Area where radius is given is computed using:
A = πr²
A = π * 27²
A [tex]\approx[/tex] 2290.22
C) a circle with a circumference of 87.92 units
Since Circumference is given:
A = C²/4π
Where C = Circumference
Thus A = 87.92²/*4*π)
A [tex]\approx[/tex] 615.13
D) a circle with a diameter of 19 units.
Area, where the diameter is given, is:
A = 1/4 πd²
A = 1/4 * π * 19²
A [tex]\approx[/tex] 283.53
Thus, it is correct to state that the order of the Areas of the Circles given from least to greatest is:
Area of a circle with a Diameter of 19
a circle with a radius of 27 units.
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Full Question:
Place the circles in order from the circle with the smallest area to the circle with the largest area
* a circle with a area of 1,040.09 square units.
* a circle with a radius of 27 units
*a circle with a circumference of 87.92 units
*a circle with a diameter of 19 units.
Pls hepl mathnation chech your understanding 7.3.7pls
Answers
The required area model is shown in the figure, as per the given expression.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Area model of the expression x² + x - 56 is formed as,
factorize the given expression
x² + x -56= (x + 8)(x - 7)
Thus, the required area model is shown in the figure, as per the given expression.
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What mistake did Dennis make?
Answers
The mistake which Dennis made include the following: B. he didn't exclude x = 3, which makes the denominator in the original expression equal to zero.
What is a rational expression?In Mathematics, a rational expression simply refers to a type of expression which is expressed as a fraction. This ultimately implies that, a rational expression is composed of two (2) main parts and these include the following:
NumeratorDenominatorGenerally speaking, the excluded values of any rational expression simply refers to the values for which the expression is undefined, which is typically obtained when the denominator is equal to zero (0).
Rational expression = (x² - 6x + 0)/(x² + x - 12)
When x = 3, we have the following expression:
Rational expression = (x² - 6x + 0)/(3² + 3 - 12)
Rational expression = (x² - 6x + 0)/(9 + 3 - 12)
Rational expression = (x² - 6x + 0)/0
Rational expression = undefined.
Therefore, excluded values are x ≠ 3 and 4.
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There are 5 questions on a math exam. Each question is worth twice as much as the question before it. The fifth question is worth 16 points. How much is the first question worth?
Answers
Answer:
1 point
Step-by-step explanation:
if each question is worth twice as much as the question before it , then the question before each question is half the value, then
5th question = 16
4th question = 16 ÷ 2 = 8
3rd question = 8 ÷ 2 = 4
2nd question = 4 ÷ 2 = 2
1st question = 2 ÷ 2 = 1
the first question is worth 1 point
14. Find the missing side. Round to the nearest tenth. *
Answers
The missing side, which is 8.2 (rounded to the closest tenth), is indicated by the provided statement.
Give a mathematical definition of side?The leading edge that connects two vertices of a form or two-dimensional object is referred to as a side in geometry. To put it another way, in mathematics, a side is the vector that joins two points on a form. Here, the term "shape" refers to a two-dimensional (flat) form, such as a triangle, rectangle, or square.
Your hypotenuse is present. You require the inverse.
Sin = x/Hypotenuse
Sin27° = x/18
x = Sin27° * 18
x = 0.45 * 18
x = 8.17
x ≈ 8.2
As a result, side 8.2 is missing.
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a triangle with integer sides has perimeter $12$. how many such non-congruent triangles are there? (a 3-4-5 triangle is considered congruent to a 3-5-4 triangle because we can reflect and rotate the triangles until they match up.)
Answers
In total, there are 5 non-congruent triangles with integer sides that have a perimeter of 12.
The number of such non-congruent triangles can be found by considering all possible combinations of sides that add up to 12.
We can start by finding all possible combinations of two sides, and then adding the third side to make the perimeter equal to 12.
For example, for the two sides with lengths 1 and 11, the third side must be equal to 0, which is not allowed in a triangle.
The combinations of two sides are:
(1, 11), (2, 10), (3, 9), (4, 8), (5, 7), (6, 6).
For the combination (1, 11), the third side cannot be greater than 10, so it is not a valid triangle.
For the combination (2, 10), the third side can have lengths 0, 1, or 2, but none of these values result in a valid triangle.
For the combination (3, 9), the third side can have length 0, 1, 2, or 3. The only value that results in a valid triangle is 3, so there is 1 such triangle.
For the combination (4, 8), the third side can have length 0, 1, 2, or 4. The only value that results in a valid triangle is 4, so there is 1 such triangle.
For the combination (5, 7), the third side can have length 0, 1, 2, 3, or 5. The only value that results in a valid triangle is 5, so there is 1 such triangle.
For the combination (6, 6), the third side can have length 0 or 6. The only value that results in a valid triangle is 6, so there is 1 such triangle.
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3.3. about how long after shaking begins during the tangshan earthquake does it take the last building collapses? question 3 options: a. 1 minute b. 2 minutes c. 4 minutes d. 8 minutes
Answers
About two minutes long after shaking begins during the tangshan earthquake does it take the last building collapses.
At 3:42 am, an earthquake of magnitude 7.8 to 8.2 struck Tangshan, a Chinese industrial city of about one million people. The quake was particularly costly in terms of human life because most people slept in beds rather than outside the relatively safe streets. occurred along an unknown fault in the Cangdong fault system near the confluence of the The Tangshan fault is a north-northeast-trending strike-slip fault. An estimated 242,000 people died in Tangshan and surrounding areas, making the earthquake one of the deadliest in recorded history, with 300,000 killed in the Calcutta earthquake of 1737, believed dead in 1556. Shaanxi Province, where 830,000 people died of Chinese nationality. It lasted 23 seconds and destroyed 90% of Tangshan's buildings. At least 250,000 killed and 160,000 injured
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Four spheres of radius 6 cm just fit inside a cylinder.
Calculate the volume inside the cylinder that is empty.
Leave your answer in terms of .
0000²
12 cm
Spheres
Vol = ²³
Answers
Answer:
576π cm³
Step-by-step explanation:
Find volume of 1 sphere:
V = 4/3πr³ = 4/3π(6)³ = 288π
Volume occupied by 4 spheres = 4(288π) = 1152π
Find volume of cylinder:
V = πr²h
h = 4(12) = 48 (4 spheres stacked inside the cylinder)
V = π(6)²(48) = 1728π
Empty space = (Volume-cylinder) - (Volume-4 spheres) = 1728π - 1152π = 576π
