Please help asap! 44 pts (:
Given the lengths of two sides of a triangle, find the range for the length of the third side (between what two numbers should the length of the third side be). Write the inequalities for each case. 11.5 and 23.6
Final answer:
To determine the range for the length of the third side of a triangle with side lengths 11.5 and 23.6, we apply the triangle inequality theorem which tells us that the third side must be greater than 12.1 and less than 35.1.
Explanation:
To find the range for the length of the third side of a triangle when given the lengths of two sides, one must use the triangle inequality theorem. This theorem states that the length of any side of a triangle is less than the sum of the lengths of the other two sides but greater than the absolute difference between these lengths. Given the side lengths of 11.5 and 23.6, the inequalities would be:
The length of the third side must be greater than the absolute difference between 23.6 and 11.5, which is 12.1. Therefore, the third side > 12.1.The length of the third side must also be less than the sum of 23.6 and 11.5, which is 35.1. Therefore, third side < 35.1.Combining these inequalities gives us the range: 12.1 < third side < 35.1.
Use a graphing calculator to solve the equation in the interval from 0 to 2π Round your answers to the nearest hundredth. 1.21, 2.26, 3.31, 4.35, 5.40 3.64 1.21, 4.35 0.404, 1,452.5, 3.55, 4.59, 5.64
The solution to the equation at the given interval is x = 3.64
Using a graphing calculator to solve the equation
From the question, we have the following parameters that can be used in our computation:
[tex]3\tan(\dfrac 13\theta) = 8[/tex]
This can be expressed as
[tex]y = 3\tan(\dfrac 13\theta)[/tex]
y = 8
Next, we plot the graph of the system of the equations
See attachment for the graph
From the graph, we have solution to the system to be the point of intersection of the lines
This point is located at x = 3.64
Hence, the solution to the equation at the inverval is x = 3.64
Question
Use a graphing calculator to solve the equation
[tex]3\tan(\dfrac 13\theta) = 8[/tex]
in the interval from 0 to 2π Round your answers to the nearest hundredth.
For this question, any non-integer answers should be entered as decimals, rounded to the hundredths place. Consider this data set. 25.5 26 18.2 15.3 28.5 27 20.7 20.2 26.1 18.2 21.4 17.9 24.3 22.6 19.6 The mean of the data set is , and the sample proportion of numbers less than the mean is .
Answer:
Step-by-step explanation:
this is it
x - 2y = 3 5x + 3y = 2 The lines whose equations are shown intersect at which point? (1, -1) (-1, 1) (0, 3/2)
Answer: The correct answer is (1,-1).
Explanation:
The given equations are,
[tex]x-2y=3[/tex] ..... (1)
[tex]5x+3y=2[/tex] ..... (2)
Use elimination method to solve the equations.
Multiply equation (1) by 5.
[tex]5(x-2y)=5(3)[/tex]
[tex]5x-10y=15[/tex] ..... (3)
Subtract equation (3) from equation (2).
[tex]5x+3y-(5x-10y)=2-15[/tex]
[tex]5x+3y-5x+10y=-13[/tex]
[tex]13y=-13[/tex]
[tex]y=-1[/tex]
The y-coordinate is -1.
Put y=-1 in equation (1).
[tex]x-2(-1)=3[/tex]
[tex]x+2=3[/tex]
[tex]x=3-2[/tex]
[tex]x=1[/tex]
The x-coordinate is 1.
Therefore the intersection point is (1,-1).
Help why did I get this wrong? Corrections!!! Janie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?
Tim’s bank requires its customers to have a 4-digit personal identification number (PIN) to access their accounts. If each digit can be a value from 0 to 9, and a 4-digit number is randomly generated, what is the probability that the number 1234 will be Tim’s PIN? A. 1 6,561 B. 1 5,040 C. 10,000 D.1 10,000
Answer:
1/10000
Step-by-step explanation:
There are 10 choices for each of the 4 digits. This means the total number of choices for the PIN are
10(10)(10)(10) = 10000
The number 1234 will only appear 1 time in this list; this makes the probability it is Tim's PIN 1/10000.
Hence, the probability that the number [tex]1234[/tex] will be Tim’s PIN is
What are digits?
A numerical digit is a single symbol used alone or in combinations, to represent numbers in a positional numeral system.
The name "digit" comes from the fact that the ten digits of the hands correspond to the ten symbols of the common base [tex]10[/tex] numeral system, i.e. the decimal digits.
From the given information,
We have [tex]10[/tex] choices for each of the four digits.
This means that the total number of choices for the PIN is:-
[tex]10(10)(10)(10) = 10000[/tex]
The number [tex]1234[/tex] will only appear one time in this list which makes the probability of the form Tim's PIN [tex]\frac{1}{10000}[/tex].
Hence, the probability that the number [tex]1234[/tex] will be Tim’s PIN is [tex]\frac{1}{10000}[/tex].
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Mark has a bag containing a mixture of 30 green and white marbles. Without looking, he guesses that half of the marbles in the bag are green. He randomly selected 1 marble from the bag, recorded the color, and returned the marble to the bag. After 15 trials, Mark has drawn 10 green marbles and 5 white marbles. Which of the conclusions below is BEST supported by his data?
The bag contains more white than green marbles.
The bag contains 10 green marbles and 20 white marbles.
The bag contains an equal amount of each color.
The bag contains more green than white marbles.
what is (-5.62x - 0.8) + (1.12+ 1.4x)
In need of some help please.
The pentagons JKLMN and PQRST are similar find the length x of TP
Answer:
the answer is 2.8 assuming you had the same messurments and questions as me
Step-by-step explanation:
You are a lab technician and it takes you 1 hour 30 minutes to complete a lab test. At this rate, how many hours would it take you to complete 5 of the lab tests?
A video game system that normally sells for $249 is on sale for 15% off
The sum of three consecutive odd integers is 153. what is the value of the largest of the integers?
The value of the largest of the integers will be 53.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The sum of three consecutive odd integers is 153.
Let x be the odd number. Then the other two odd numbers will be x + 2 and x + 4. Then the equation will be
x + x + 2 + x + 4 = 153
3x + 6 = 153
3x = 147
x = 49
Then the other two odd numbers will be
x + 2 = 49 + 2 = 51
x + 4 = 49 + 4 = 53
The value of the largest of the integers will be 53.
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PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER
A triangle has an area of 1102 m², and two of the sides of the triangle have lengths 60 m and 56 m. find the angle included by these two sides.
in 56 years, kevin will be 9 times as old as he is right now. how old is he right now?
Please SOMEONE help me on this asap!!!
BRAinliEST AVAILABLE TO CORRECT ANSWER
Options from the 1st blank:
Less than, greater than, or the same as
Options for 2nd blank:
Greater than, the same as, less than
Cory has a square piece of wood that is 4.5 feet by 4.5 feet. He wants to make a circular tabletop out of it. What is the area of the largest circle that he can cut out of the wood? Round to the nearest tenth.
The area of the largest circle is 15.9 feet^2
what is area ?
The area is the amount of space within the perimeter of a 2 D shape. It is measured in square units, such as cm², m², etc.
formula used to find the area is :
A = π r^2
Given : diameter = 4.5 feet
r = d/2
⇒ 4.5 / 2
⇒ 2.25
r = 2.25
A = π × (2.25)^2
A = 3.14 × 5.0625
A = 15.89625 feet^2
round to nearest tenth is :
A = 15.9 feet ^2
Hence , the area of the largest circle is 15.9 feet ^2
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What is the angle of 135 degrees equal to in radian measure? Show all work.
Me. Adams divides 223 markers equally among the 26 students in his class. He puts the extra markers in a box. What is the least number of markers he puts in the box?
How to solve 6+5c=-29
The value of equation 6+5c=-29 is c= -7.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Equation: 6+5c=-29
Solving the equation for c
6+5c=-29
Subtract 6 from both side
6 + 5c - 6 = -29 - 6
5c = -35
Divide both side by (5) we get
5c / 5 = -35 /5
c= -7
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Which expression is a factor of 4ab + 4a − 3b − 3?
b − 1
4a − 3
3b + 1
4a + 3b
(4a − 3) is a factor of 4ab + 4a − 3b − 3. Option B is correct. It is obtained by solving the given expression and taking the common terms.
What is the factored form of an expression?When an expression is written as the result of multiplication of some terms, then that multiplication form is called the factored form of that expression.
From the given expression;
[tex]= \rm 4ab + 4a - 3b - 3\\\\ =4a(b + 1) - 3(b+1) \\\\ = (b+1)(4a - 3)[/tex]
From the expression, (b+1) and (4a—3) are factors.
Hence, option B is correct.
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The gas tank I’ll be riding mower holds 5 L of gas how many 5 L gas tanks can you feel from a 20 L gas tank
y = 2x2 - 3x - 20?
A) x = -5 and 2
B) x = 5 and -2
C) x = -2.5 and 4
D) x = 2.5 and -4
25 points need help ASAP!!!
PLEASE HELP!
You work for a landscaper that has a customer needing to seed an area of land 80 feet by 40 feet in size. The garden center has 5-pound bags of grass seed. Each bag of seed can cover 25 square yards of land.
You calculate that the area you need to seed is 3200 square feet. You divide by 25 to find that you need 128 bags to seed the area. Is this correct?
A) Yes.
B) No, you need to convert the 3200 square feet to yards by dividing by 3. Then calculate the number of bags.
C) No, you need to convert the 3200 square feet to yards by dividing by 9. Then calculate the number of bags.
D) No, you need to convert the 3200 square feet to yards by multiplying by 9. Then calculate the number of bags.
Answer:
Since the mulch is measured in yards you need to either convert the area to be seeded to yards or the bag to feet. No, you need to convert the 3200 square feet to yards by dividing by 9. Then calculate the number of bags.
A rectangle with a width of (5x+2) feet and a length of (2x-1) feet has an area of 100 square feet. What is the rectangle’s width and length?
Final answer:
To find the width and length of the rectangle, set the equation (5x + 2)(2x - 1) = 100, simplify to 10x² - x - 102 = 0, factor to find x = 6, then substitute back to find the dimensions: 32 feet by 11 feet.
Explanation:
A rectangle with a width of (5x+2) feet and a length of (2x-1) feet has an area of 100 square feet. To find the rectangle’s width and length, we need to solve for x using the area of a rectangle, which is the product of its length and width. The equation is:
(5x + 2)(2x - 1) = 100
First, expand the left side of the equation:
10x²- 5x + 4x - 2 = 100
Combine like terms:
10x² - x - 2 = 100
Subtract 100 from both sides to set the equation to zero:
10x² - x - 102 = 0
Now, we can use the quadratic formula, factorization, or a graphing utility to find the values of x that satisfy the equation. For simplicity, we are looking for integer solutions because the setup of the problem suggests that such solutions are likely.
Factoring the quadratic equation, we get:
(10x + 17)(x - 6) = 0
Setting each factor to zero gives us two potential solutions for x:
10x + 17 = 0 or x - 6 = 0
Solving these, we find:
x = -17/10 or x = 6
Since a negative width does not make practical sense for a rectangle, we discard the negative solution and keep x = 6.
Inserting x = 6 into the original expressions for width and length, we find:
Width = 5(6) + 2 = 32 feet
Length = 2(6) - 1 = 11 feet
Therefore, the rectangle's dimensions are 32 feet by 11 feet.
George Orwell based his novel, 1984, on the idea of
capitalism
totalitarianism
fascism
constitutional monarchy
Tabitha defines a sphere as the set of all points equidistant from a single point. Is Tabitha's definition valid?
Answer: Yes, Talid's definition is valid.
Step-by-step explanation:
Definition of sphere:- In geometry , a sphere is a perfectly round three-dimensional shape . It is defined as the set of points that are all at the same distance which is known as radius from a given point in a 3-dimensional space. Talid's definition:- A sphere as the set of all points equidistant from a single point.
Hence, Talid's definition is valid.