A triangle is a three-sided two-dimensional shape that can be classified based on side lengths and angle measurements. There are various types of triangles, including equilateral, isosceles, scalene, acute, right, obtuse, equiangular, and right-angled isosceles triangles.
Explanation:A triangle is a three-sided two-dimensional shape. It is a polygon, which is a closed figure with straight sides. Triangles can be classified based on their side lengths, such as equilateral (all sides are equal), isosceles (two sides are equal), and scalene (no sides are equal). They can also be classified based on their angle measurements, such as acute (all angles are less than 90 degrees), right (one angle is 90 degrees), and obtuse (one angle is greater than 90 degrees). Additionally, there are special types of triangles like equiangular triangles (all angles are equal) and right-angled isosceles triangles (one angle is 90 degrees and two sides are equal).
What is the value of x? Help!!
Answer:
x= 120
Step-by-step explanation:
Since this is an equilateral triangle all of its angles inside of it equal to 60 degrees. Therefore 180 - 60 = 120.
The value of a computer is $1200. It loses 20% of its value every year. Write a function the represents the value y (in dollars) of the computer after t years. The find the value of the computer after 5 years.
y = 1200(.80)^t Plug in 5 for t (time).
y = 1200(.80)^5
.80^5= 0.33
0.33 x 1200 = 395
Therefore, the value of the computer after 5 years has deteriorated to $396.
The function represents the value of the computer will be y = $1200 × (0.80)ˣ. Then the value of the computer after 5 years will be $393.22.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
y = a (1 - r)ˣ
The value of a computer is $1200. It loses 20% of its value every year. Then the equation is given as,
y = $1200 × (1 - 0.20)ˣ
y = $1200 × (0.80)ˣ
Where 'x' is the number of years and 'y' is the amount. Then the value of the computer after 5 years will be given as,
y = $1200 × (0.80)⁵
y = $1200 × 0.32768
y = $393.22
The function represents the value of the computer will be y = $1200 × (0.80)ˣ. Then the value of the computer after 5 years will be $393.22.
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which is greater, 1 3/4 or 1?
Answer:
1 3/4
Step-by-step explanation:
1 3/4 is 3/4 more than one.
Answer:
1 3/4
Step-by-step explanation:
When you add fractions to whole numbers, it is bigger than the whole number. For example 1 + 3/4 = 1 3/4, so this is bigger than one.
hope this helps :)
Given:
- KLMN is a trapezoid
- KL = MN
- LN = √(89)
- LH: altitude
- LM = 3
- KN = 13
Find: m∠LKN
See attached image.
Answer:
45 degrees
Step-by-step explanation:
If KL = MN, and LM =3 and KN = 13, then HN = 13 - (13-3)/2 = 8
LN = sqrt(HN^2 + LH^2) -->
LN = sqrt89 sqrt(8^2 + LH^2) -->
89 = 64 + LH ^2 -->
25 = LH^2 -->
LH = 5
Because HN = 8, HK = 13 - 8 = 5
That makes both legs equal, which makes m∠LKN = 45 degrees
The angle m∠LKN is equal to 45 degrees.
To understand more, check below explanation.
Trapezoid :It is given that,
KL = MN, LM =3 , KN = 13 and LN [tex]=\sqrt{89}[/tex]
So that, HN = 13 - (13-3)/2 = 13 - 5 = 8
[tex]LN = \sqrt{(HN)^{2}+(LH)^{2} }\\\\\sqrt{89} = \sqrt{(8)^{2}+(LH)^{2} }\\\\89=64+(LH)^{2} \\\\LH=\sqrt{25}=5[/tex]
Since, HN = 8. So that, HK = 13 - 8 = 5
In a triangle, if two sides are equal. Then, opposite angle of both sides are also equal.
In triangle LKH, LH = HK = 5 and [tex]\angle H=90[/tex]
So that, m∠LKN = 90/2 = 45 degree.
Hence, the angle m∠LKN is equal to 45 degrees.
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A box falls off a warehouse shelf from a height of 16 feet. The function h=−16x2+16 gives the height h (in feet) of the box after x seconds. When does it hit the floor?
The box hits the floor after 1 second.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
The function h = -16x²+ 16 gives the height h (in feet) of the box after x seconds. To find when the box hits the floor, we need to find the value of x when h = 0 (since the height of the box will be zero when it hits the floor).
So we can set the function equal to zero and solve for x:
-16x² + 16 = 0
Dividing both sides by -16, we get:
x² - 1 = 0
Factoring the left side, we get:
(x - 1)(x + 1) = 0
So the solutions are x = 1 and x = -1. However, we are only interested in the positive value of x since time cannot be negative.
Therefore, the box hits the floor after 1 second.
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Final answer:
The function h=[tex]-16x^2+16[/tex] represents the height of a falling box. To find when it hits the floor, substitute h=0 into the function and solve for x.
The box hits the floor after 1 second.
Explanation:
The box falls from a height of 16 feet, and the function h=[tex]-16x^2+16[/tex]represents the height of the box after x seconds.
Substitute h=0 into the function to find when the box hits the floor:
0 =[tex]-16x^2 + 16[/tex]
Solve for x to find the time it hits the floor.
[tex]x^{2} =\frac{16}{16}[/tex]
[tex]x=1[/tex]
The box hits the floor after 1 second.
What is the area of 30 cm 30 cm 26 cm of a triangle
Answer:
13√731 cm²
Step-by-step explanation:
Heron
A = √p(p-a)(p-b)(p-c)
p = (a+b+c)/2 = (30+30+26)/2 = 86/2 = 43
A = √43*(43-30)(43-30)(43-26)
= √43*13*13*17
= 13√43*17
= 13√731 cm²
Phytaghora
h = √30² - 13²
= √900 - 169
= √731
A = h × b/2
= √731 × 26/2
= 13√731 cm²
im basically begging for help rn!!
Step-by-step explanation:
[tex]a_n = \frac{2n}{n + 6} \\ \\ a_1 = \frac{2 \times 1}{1 + 6} = \frac{2}{7} \\ \\ a_2 = \frac{2 \times 2}{2 + 6} = \frac{4}{8} = \frac{1}{2} \\ \\ a_3 = \frac{2 \times 3}{3 + 6} = \frac{6}{9} = \frac{2}{3} \\ \\ a_4 = \frac{2 \times 4}{4 + 6} = \frac{8}{10} = \frac{4}{5} \\ [/tex]
Draw a Tree Diagram to determine the number of outcomes for a lunch plate given that you have the choice of one item from each group.
Sandwich -- chicken salad, turkey, or grilled cheese
Side -- chips, french fries, or fruit cup
Drink -- soda or water
A) 8
B) 9
C) 12
D) 18
Answer:
A
Step-by-step explanation:
Answer:
D) 18
Step-by-step explanation:
On a winter day the low temperature in Anchorage, Alaska was -21 degrees Celsius and the low temperature in Minneapolis, Minnesota was -14 degrees Celsius. Jada said: “I know that 14 is less than 21, so -14 is also less than -21. This means that it was colder in Minneapolis than in Anchorage.” Do you agree? Explain your reasoning.
Jada's reasoning about the temperatures is incorrect because in negative numbers, the lower the value, the colder the temperature. Hence, Anchorage at -21°C was colder than Minneapolis at -14°C.
Explanation:Jada's statement that "-14 is also less than -21" is incorrect when referring to temperatures in degrees Celsius. In fact, when we work with negative numbers, especially temperatures, the higher the negative number, the warmer the temperature. That is, -14°C is warmer than -21°C. Therefore, it was actually colder in Anchorage, Alaska at -21°C compared to Minneapolis, Minnesota at -14°C. To understand this better, we can look at a thermometer or a number line where numbers to the right are higher (warmer) than those to the left.
Select two ratios that are equivalent to 2:92:92, colon, 9. Choose 2 answers: Choose 2 answers: (Choice A) A 9:29:29, colon, 2 (Choice B) B 18:8118:8118, colon, 81 (Choice C) C 12:5412:5412, colon, 54 (Choice D) D 18:418:418, colon, 4 (Choice E) E 20:4520:45
Answer:
The only options equivalent to 2:9 are B and C.
Step-by-step explanation:
A ratio is a comparison between two or more numbers.
When two ratios are equivalent, they describe the same relationship between numbers.
An equivalent ratio is to a number is usually the same ratio in which the numerator and denominator (first and second number) have been multiplied by a common multiple.
To find if two ratios are equivalent, we have to put them in their simplest forms and compare.
The ratio we are comparing other ratios with is 2:9
So, we will put all other ratios in their simplest form and see if it gives us 2:9
A. 9:2 - This is already in its simplest form and it is not equal to 2:9.
B. 18:81 - To put this in simplest form, we divide both numbers by 9:
18:81 = 2:9
Hence, this is an equivalent ratio to 2:9.
C. 12:54 - To put this in simplest form, we divide both numbers by 6:
12:54 = 2:9
Hence, this is an equivalent ratio to 2:9.
D. 18:4 - To put this in simplest form, we divide both numbers by 2:
18:4 = 9:2
This is not the same as 2:9.
E. 20:45 - To put this in simplest form, we divide both numbers by 5:
20:45 = 4:9
This is not the same as 2:9.
The only options equivalent to 2:9 are B and C.
Answer:
The answer is way to easy for me: B and C
Find the surface of the square pyramid shown below
Answer:
40
Step-by-step explanation:
The area of the base is 4 * 4 (because it's a square) = 16
The area of one side is 4 * 3 * 1/2 = 6, but there are 4 sides, so the combined area of the sides is 6 * 4 = 24
16 + 24 = 40
Answer:
40
Step-by-step explanation:
Find the area of one of the triangle faces time that by 4(there is four triangle faces) and then add that by the area of the square face(16). 4*4=16
Area of triangle face: 6*4=24(triangle faces)+16(Square face)=40
Becca wants to edge her hexagonal garden with bricks. All sides are equal. The brickcosts $2 per foot. How much will it cost to buy tne edging she needs
Answer: $12a
Step-by-step explanation:
Cost of brick = $2 per foot
Cost of edging needed=?
Shape of garden = hexagonal= 6 sides and all sides are equal
The perimeter of a regular hexagon = 6×a
Where a = length of one of the sides , since the sides are equal.
Cost of edging = perimeter size (in feet) * cost per foot
Cost of edging = 6a * $2
Therefore, cost of edging = $12a
Where a = length of it's side in feet.
Answer: $144
Step-by-step explanation:
There are 12 feet on the hexagon so 12x2 is $24. there are also 6 sides on the hexagon so 6x24 is 144. (this is from a math textbook.)
The perimeter of the original rectangle on the left is 30 meters. The perimeter of the reduced rectangle on the right is 24
meters.
What is x, the width of the original rectangle on the left? Round to the nearest hundredth if necessary.
5 meters
8 meters
10 meters
12 meters
Answer: The answer is 5 meters
Step-by-step explanation: Plss trust me i actualy thought about it.. XD
Indicate whether the following statement is true or false: An exponential growth function
eventually exceeds a quadratic function with a positive leading coefficient. (1 point)
True
False
Answer:
The given statement is true.
In general, the growth rate of exponential functions is far greater than the quadratic function. This can be illustrated through an example.
Consider an exponential function and a quadratic function .
Note that the leading coefficient of the quadratic function is far greater than the base of the exponential function but still the exponential function will exceeds the quadratic function after x = 15.664 as shown in the graph below.
Therefore, we can conclude that the given statement is correct.
Amy has $26 to spend on school supplies. After buying a notebook for $3.50 and 8 pens of equal cost, she had $16.18 left. Write an equation representing the money Amy spent.
Answer:
26-3.50-8x=16.18
Step-by-step explanation:
To create an equation representing what she spent, we need to start with the money she had and end with the money she has left.
We know that she originally had $26, but when she was done shopping, she had $16.18. To get from $26 to $16.18, you have to subtract the cost. That gives you 26 - [ cost ] = 16.18
We know that she spent $3.50 on a notebook and 8 pens of an unknown cost. The unknown cost can be represented by x. To find the total cost, you must add the costs of what she bought together. That gives you 3.50 - 8x.
Plug the expression of the cost into the equation, and boom it's done.
26 - 3.50 - 8x = 16.18
To find the equation representing the money Amy spent on school supplies, we can use the given information and set up an equation. By solving the equation, we can find the cost of one pen and calculate the total amount of money Amy spent.
Explanation:To represent the money Amy spent, we need to find the cost of 8 pens. Let the cost of one pen be x. The notebook cost $3.50, so the total money spent on the notebook and pens can be represented as:
$3.50 + 8x
According to the problem, Amy had $16.18 left after buying the notebook and pens. So we can set up the equation:
$26 - ($3.50 + 8x) = $16.18
Simplifying the equation, we have:
$26 - $3.50 - 8x = $16.18
$22.50 - 8x = $16.18
Subtracting $22.50 from both sides, we obtain:
-8x = -$6.32
Multiplying both sides by -1, we get:
8x = $6.32
Dividing by 8 on both sides, we have:
x = $0.79
Therefore, the cost of one pen is $0.79.
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Sheri and Tim are both selling raffle tickets at a volleyball tournament.
The table below shows the total number of raffle tickets Sheri sold at different times of the day.
Tim uses the equation below to show the number of tickets, t, he has sold after h hours.
t = 14h
Which of the following best describes the relationship of these two rates?
A. The rate that Tim sells raffle tickets is half the rate that Sheri sells raffle tickets.
B. The rate that Tim sells raffle tickets is double the rate that Sheri sells raffle tickets.
C. The rate that Sheri sells raffle tickets is 7 times the rate that Tim sells raffle tickets.
D. The rate that Sheri sells raffle tickets is the same as the rate that Tim sells raffle tickets.
Answer:
B is the correct answer
Step-by-step explanation:
Let’s write the equation for Tim according to the question, that is t = 14h
Now for sheri, looking at the table, we can see that in two hours, he sells 14 tickets . This means that he sells at an average rate of 7 tickets per hour
Modeling his selling rate, with t being the number of tickets and h being the number of hours, we have;
t = 7h
Tim’s rate is t/h = 14
While sheri’s rate is t/h = 7
We can see that Tim’s rate is double Sheri’s rate
The rate of a linear function is simply the slope of the function.
The true statement is (b) the rate that Tim sells raffle tickets is double the rate that Sheri sells raffle tickets.
Tim's equation is given as:
[tex]t = 14h[/tex]
A proportional linear equation is represented as:
[tex]t = mh[/tex]
Where m represents the slope/rate.
This means that:
[tex]m = 14[/tex] --- Tim's rate
The slope of Sheri's table is calculated using:
[tex]m = \frac{y_2-y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{28 -14}{12 -10}[/tex]
[tex]m = \frac{14}{2}[/tex]
[tex]m = 7[/tex] ---- Sheri's rate
By comparison:
[tex]14 = 7 \times 2[/tex]
This means that: Tim's rate doubles Sheri's rate.
Hence, the true statement is (b)
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The box plots show the weights, in pounds, of the dogs in two different animal shelters. Weights of Dogs in Shelter A 2 box plots. The number line goes from 6 to 30. For the weights of dogs in shelter A, the whiskers range from 8 to 30, and the box ranges from 17 to 28. A line divides the box at 21. For shelter B, the whiskers range from 10 to 28, and the box ranges from 16 to 20. A line divides the box at 18. Weights of Dogs in Shelter B Which is true of the data in the box plots? Select three choices. The median weight for shelter A is greater than that for shelter B. The median weight for shelter B is greater than that for shelter A. The data for shelter A are a symmetric data set. The data for shelter B are a symmetric data set. The interquartile range of shelter A is greater than the interquartile range of shelter B.
Answer:
A: The median weight for shelter A is greater than that for shelter B.
D: The data for shelter B are a symmetric data set.
E: The interquartile range of shelter A is greater than the interquartile range of shelter B.
Step-by-step explanation:
edg2020
From the box plots, we can conclude three things: (1) the median weight for Shelter A is greater than that for Shelter B, (2) neither Shelter A's nor Shelter B's data is symmetric, and (3) Shelter A has a greater interquartile range than Shelter B.
Explanation:The box plots given provide valuable information about the weights of the dogs in two shelters. The line dividing the box represents the median weight of the dogs. For Shelter A, the median weight is 21 and for Shelter B, the median weight is 18. Therefore, the statement that the median weight for Shelter A is greater than that for Shelter B is correct.
Next, it's crucial to understand the concept of symmetry in the data set. If a data set is symmetric, the whiskers (that represent the variation or spread of the data) of the box plots would be roughly of equal lengths, indicating uniform spread around the median. Given the information, neither Shelter A nor Shelter B display symmetric whisker lengths, so the data for neither shelter A nor B is a symmetric data set.
Finally, the Interquartile Range (IQR) represents the range within which the central half of the weights lies — it is the difference between the third quartile (the right end of the box) and the first quartile (the left end of the box). For Shelter A, the IQR is 28 - 17 = 11, and for Shelter B, the IQR is 20 - 16 = 4. Therefore, the interquartile range of shelter A is indeed greater than the interquartile range of shelter B.
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Tonya has 39 packages. Each package weighs 58 pounds. Choose the best estimate of the total weight of the packages
The best estimate for the total weight of the packages is 2262 pounds.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Given that,
Total number of packages that Tony has = 39 packages
Weight of each package = 58 pounds
In order to find the weight of total packages we have to add the weight of each packages.
We have to add the weight of a package 39 times since the number of packages is 39.
That is, we can multiply 39 with 58.
Total weight = 39 × 58 pounds
= 2262 pounds
Hence the total weight of the packages is 2262 pounds.
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Final answer:
To find the total weight of Tonya's packages, multiply the number of packages by the weight of each package, which results in an estimated total weight of 2,262 pounds.
Explanation:
Tonya has 39 packages, each weighing 58 pounds. To find the total weight, we multiply the number of packages by the weight of each package:
39 packages * 58 pounds = 2,262 pounds
The best estimate of the total weight of the packages is 2,262 pounds.
The height requirement for the Star Speed roller coaster is 54 inches. Even after growing 3 inches since last summer, Dakota is too short to ride. Let x represent how tall Dakota was last summer. X+3<54: Solve the inequality. Then, complete the sentence to describe the solution.Dakota was less than ____ inches tall last summer.
Answer: Dakota was less than 51 inches last summer.
Step-by-step explanation: First of all let us represent Dakota's height last summer by letter x.
The height requirement for the roller coaster is given as 54 inches. This means Dakota must be 54 inches or higher in order to be allowed on the ride. However, Dakota is too short to ride. This can be represented mathematically as x < 54.
If However, last summer Dakota grew 3 inches taller, then we can also represent this mathematically as x + 3 < 54.
To solve for this;
x + 3 < 54
Subtract 3 from both sides of the inequality
x < 51. (That is x is less than 51)
Since Dakota's height has been represented by x, we can now interpret this inequality as;
Dakota was less than 51 inches tall last summer.
Which value of x would make LK Il OM?
Ox=2
Ox=24
O x=48
O x=8
The required value of x would be 8 to make LK Il OM for the shown triangle.
What is the angle bisector theorem?The angle bisector theorem is a geometric theorem that relates the lengths of the sides of a triangle to the lengths of the segments that bisect the opposite angles.
The line segment splits one side of a triangle into segments of length NO and NM, then the other two sides of the triangle are split into segments of length NK/KM and NL/LO respectively.
So, NK/KM = NL/LO
(x+2)/(x-3) = x/(x-4)
x² - 2x - 8 = x²- 3x
3x - 2x = 8
x = 8
Thus, the required value of x would be 8.
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The missing figure has been attached below as:
I don’t know this one
Answer:
3077.2
Step-by-step explanation:
A circle's mass is found by
Pie times R^2
7^2 is 49, times 3.14 is 153.86
then you Multiply 153.86 by 20 which gives you 3077.2
5/7x =55 what is x ??
Suppose the skater loses the function of one of their body systems. Can the skater continue to skate with a body system that is not functioning properly
Answer:
No, the skater cannot
Step-by-step explanation:
Base on the scenario been described in the question, we can see that the skater loses what part of his body which he use for the sporting activities of skating, unfortunately he loses it, so he cannot be able to continue skating. Because his body system will not function properly
North Carolina has 12 less electoral votes than Florida. Write & solve a subtraction equation to find the number of electoral votes for Florida. North corolina 15
Answer: There are 27 votes for Florida.
Step-by-step explanation:
Hi, to answer this question we have to write an equation:
The number of votes of North Carolina (15) must be equal to the number of votes of Florida (x) minus 12.
Mathematically speaking:
15 = x -12
Solving for x:
15+12 = x
27 = x
There are 27 votes for Florida.
Feel free to ask for more if needed or if you did not understand something.
A bag of marble comes with three blue A bag of marble comes with three blue marbles, two red marbles, and five yellow marbles what is the ratio of red to yellow
Edwin Chargaff determined that the amount of adenine (A) is equal to the amount of thymine (T ) in a DNA sample. He also determined that the amount of cytosine (C) is equal to the amount of guanine (G). Thus, A always pairs with T and and C always pairs with G in the complementary DNA strand. Knowing this information, what would be the complementary strand of DNA for ATCGGC?
Answer:
This should be a biology question. But the answer is: Complemetary strand will be TAGCCG
Step-by-step explanation:
what would be the complementary strand of DNA for ATCGGC?
A always pairs with T and and C always pairs with G in the complementary DNA strand.
DNA sequence is ATCGGC
Complemetary strand will be TAGCCG
If you help me get this right i will give you brainly, and 5 stars! tysm
Answer:
1.a
2.b
Step-by-step explanation:
The first column is the domain, while the second column is the range. Therefore, 1 is a, and 2 is b. Hope this helps!
How to find the surface area of the regular pyramid .Write your answer as a decimal. The problem is 9 cm, 7 cm. But the area of the base is 84.3 cm2. Give me the rest of answer.
To calculate the surface area of a regular pyramid, add the area of the base to the combined area of the triangular faces. The base area is known, but without the base perimeter or side lengths, the total surface area cannot be determined.
Explanation:To find the surface area of a regular pyramid, we need to first know the surface area of the base, which is given as 84.3 cm². Then, we must calculate the surface area of the triangular faces. The student has provided the slant height (9 cm) and the base of the pyramid, but the length of the base side is not clear from the question. Typically, the formula for the surface area (SA) of a regular pyramid is SA = base area + 1/2 × perimeter of base × slant height. Since the area of the base is known, we only need the perimeter of the base to continue. If that perimeter or the number of sides and the length of each side were provided, we could use it to find the area of each triangle using the formula for the area of a triangle, which is 1/2 × base × height, and then multiply it by the number of triangles (sides) the pyramid has to get the total area of the triangular faces. This sum, along with the base area, would give us the total surface area of the pyramid. Without the individual side lengths or the perimeter, an exact surface area cannot be calculated.
Help me answer this question
Answer:
see below
Step-by-step explanation:
A parallelogram has ...
opposite sides parallelopposite sides congruentopposite angles congruentadjacent angles supplementary__
If the opposite angles are supplementary (add up to 180°), then they must both be 90°, and the parallelogram is a rectangle.
It is NOT always true that opposite angles add up to 180°.
Don, Eric, and Finn line up in random order for the cafeteria line. What is
the probability that they line up from front to back in alphabetical order?*
A- 15.2%
B- 16.6%
C-18.2%
D-21.8%
Answer:
The correct answer is A
Step-by-step explanation:
This results in a 16.6% probability. The correct option is (b).
Explanation:There are 3 individuals (Don, Eric, and Finn) and so 3! (3 factorial) ways to arrange them, which is 3*2*1=6 ways.
The desirable permutation, which is they stand in alphabetical order, is just one way. So, the probability is Number of Favorable Outcomes / Total Number of Outcomes = 1/6.
Thus the correct answer is (1/6) * 100% to convert to a percentage which is approximately 16.6%.
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