Layla drew a quadrilateral with 4 right angles and 2 pairs of opposite sides sides that are parallel.What quadrilateral best describes her drawing?
Based on the given information, Layla's drawing is a special type of quadrilateral known as a rectangle.
What is the rectangular shape?Rectangles are quadrilaterals having four equal vertices and parallel sides that are equal to one another.
A rectangle is defined as a quadrilateral with four right angles and opposite sides that are parallel and congruent (i.e., they have the same length).
In Layla's drawing, she stated that there are two pairs of opposite sides that are parallel, which satisfies this definition.
Furthermore, the fact that all four angles are right angles also fits the definition of a rectangle.
It is important to note that not all quadrilaterals with two pairs of parallel sides and four right angles are rectangles.
For example, a parallelogram with four right angles is a special type of rectangle known as a square, which has all sides congruent.
Therefore, based on the given information, Layla's drawing best describes a rectangle.
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How many 8 ounce bags of trail mix can be filled from a 10 pound bag of trail mix
Organizers of an outdoor concert will use 320 feet of fencing to fence off a rectangular VIP section. What is the maximum area that they can fence off? A) 3,200 square feet B) 6,400 square feet C) 12,800 square feet D) 24,000 square feet
Answer:
B
Step-by-step explanation:
For several months, a restaurant manager collected data on the number of people at a table (p) and the total bill, in dollars (d). She found that there is a positive linear association between p and d that is best modeled by the equation
d = 15.7p + 2.0.
What statement is true?
The model predicts that the average total bill for a table is $15.70.
The model predicts that for each additional 2 people at a table, the total bill increases by $15.70.
The model predicts that the average bill for any table with 2 people is $15.70.
The model predicts that for each additional person at a table, the total bill increases by $15.70.
A rectangle has a perimeter of 34 cm in an area of 52 cm squared it's length is 5 more than twice its width write and solve the system of equations to find the dimensions of the rectangle
Let [tex] l [/tex] be the length and [tex] w [/tex] be the width of the rectangle.
Given perimeter of the rectangle
[tex] 2(l+w)=34 \; l+w=17[/tex]
Area of the rectangle is
[tex] lw=52 [/tex]
Also length is 5 more than twice its width,
[tex] l=2w+5 [/tex]
From the above equations
[tex] (l-w)^2=(l+w)^2-4lw=17^2-4*52=81\\
l-w=9,\; since \; l>w [/tex]
Now [tex] 2l=9+17=26\;,l=13,w=4 [/tex]
The dimensions of the rectangle are length [tex] l=13 [/tex], and width [tex] w=4 [/tex].
select all expressions less than 5-square root of 135
a.pie/square root of 2
b.5/square root of 3
c.3+2 times square root of 2
d.4+8 time square root of 50
explain and show work
A truck is transporting 6 cars to a dealership. Each car weighs 1 ton 1,400 pounds. What is the total weight in pounds of the cars the truck is transporting?
The ___ is the collection of all possible individual outcomes for a chance process. The total probability of all the possible individual outcomes is ____.
Choices for first blank: probability model; relative frequency; sample space; probability
Choices for second blank: 0.5; 0; 1; 100
Answer:
1. sample space
2. 1
Step-by-step explanation:
10 < –2b or 2b + 3 > 11
Jackson goes to the gym 0, 2, or 3 days per week, depending on work demands. The expected value of the number of days per week that Jackson goes to the gym is 2.05. The probability that he goes 0 days is 0.1, the probability that he goes 2 days is , and the probability that he goes 3 days is .
For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.
For the given case we have following values and their probabilities:
0 : 0.1
2 : x
3 : y
So the expected value will be = 0(0.1) + 2(x) + 3(y)
Expected value is given to be 2.05. So we can write the equation as:
2x + 3y = 2.05 (Equation 1)
Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:
0.1 + x + y = 1
x + y = 0.9 (Equation 2)
From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:
2(0.9 - y) + 3y = 2.05
1.8 - 2y + 3y = 2.05
1.8 + y = 2.05
y = 0.25
Using the value of y in equation 2 we get value of x to be 0.65
Therefore we can conclude that:
The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25
He goes to the gym 0, 2, or 3 days per week.
Let's assume P(0 days)=p, P(2 days)=q, and P(3 days) = r.
So, p+q+r = 1
E(X)= E(x=0)*P(0 days) + E(x=2)*P(2 days) + E(x=3)*P(3 days)
E(X) = 0*p + 2*q + 3*r = 2q + 3r
Given is the value of P(0 days) = p = 0.1
Given is the expected value of number of days is E(X) = 2.05
Therefore, we have 0.1 + q + r = 1 and 2q + 3r = 2.05
Or, q + r = 0.9 and 2q + 3r = 2.05
Solving the two equations :-
(2q+3r)-2*(q+r) = 2.05-2(0.9)
r = 0.25
q = 0.65
Therefore, P(2 days) = 0.65 and P(3 days) = 0.25
2. Basketball Players:
Find the Measures of Center and Variability for Basketball Players Heights.
Mean:
Mode:
Median:
Range:
3. a. How many of the 10 basketball players are shorter than the tallest field hockey player?
b. List the heights that overlap in the dot plot?
A ladder is leaning on a fence and it reaches up a wall 20 feet high. The fence is 10 feet from the wall and the base of the ladder is 12 feet from the fence. How tall is the fence, in feet?
Answer:
10.9 feetStep-by-step explanation:
The wall, fence and ladder form similar right triangles as pictured
Use the ratio of corresponding sides to solve for x, the fence height
x/12 = 20/(10+12)x/12=20/22x/12 = 10/11x = 12*10/11x = 10.9 feetThe fence is 10.9 feet tall
use the law of cosines to find the measure of BC?
The length of side CB is 33 unit using Law of Cosines.
Thus, option (D) is correct.
Given:
AB = 28 unit
<A = 81
AC = 17 unit
According to Law of Cosines
the lengths of the sides of a triangle to the cosine of one of its angles.
The Law of Cosines states:
[tex]c^2 = a^2 + b^2 - 2ab * cos(C)[/tex]
Where:
c = side opposite angle C
a and b = lengths of the other two sides
< C= opposite side c
Now, using Law of Cosines
CB² = AC² + AB² - 2 . AC. AB COS (91)
= (17)² + (28)² - 2 (17)(28) COS (91)
= 289 + 784 - 476 (-0.01745)
= 1,081.3062
So, CB = √ (1,081.3062)
CB = 32.883
CB = 33 unit.
Thus, the value of CB is 33 unit.
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9x squared= -18x+7
[tex]9x {}^{2} = - 18 + 7[/tex]
Explain how the segment addition postulate can be modeled using a real-world object.
if f(x)=3x^2+2x-1, what is f(0)
Sara hiked down a mountain for 4 hours. Each hour her elevation decreased by 8 meters. Compute her change in elevation to her starting point.
Sara's change in elevation is calculated by multiplying 4 hours by -8 meters/hour. This gives a total change in elevation of -32 meters, which shows that Sara descended 32 meters from her starting point.
Explanation:The subject of your question is math, specifically dealing with the concept of multiplication. To determine Sara's change in elevation, we have to know how much the elevation decreases each hour. It's important to note that the decrease in elevation is the same as saying Sara is descending, thus the change will be represented by a negative number.
In this case, for every hour Sara hiked, her elevation decreased by 8 meters. Therefore, the total change in elevation after 4 hours would be 4 hours multiplied by -8 meters/hour. The calculation for this is:
4 hours * -8 meters/hour = -32 meters
Therefore, Sara hiked down a total of 32 meters from her starting point on the mountain.
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whats the factor of 21n^2 -14
Answer:
7(3n^2-2)
Step-by-step explanation:
=21n^2-14
As the numbers 21 and 14 are multiples of 7, so 7 will be the common factor
=7(3n^2-2)
A number that is equal to 36 more than y
The number that is equal to 36 more than y is represented as x = y + 36, and is an algebraic expression that adds 36 to the variable y to define another variable x.
Explanation:The question "A number that is equal to 36 more than y" can be expressed in a mathematical form as x = y + 36. Here, we are defining a new variable x, which represents the number that is 36 more than another variable y. This type of problem is common in algebra, where one variable is defined in terms of another.
To understand this with an example, if y represented someone's final exam history grades and we wanted to find a number that is 36 points higher than their history grade, we would add 36 to their grade y to get x. So, if the history grade was 60, the number x would be 60 + 36, which equals 96.
This relationship between x and y could be part of a larger system of equations or could represent a formula used to transform one set of data to another set, such as adjusting scores or predicting outcomes based on previous data.
Evaluate 2^5/2^3
A 1
B 2^8
C 4
D 8
which is cheaper 6x8 tiles for 1.29 or 4x4 tiles for .99
After calculating the cost per square inch for both tiles, the 6x8 tile at $0.026875 per square inch is less expensive than the 4x4 tile at $0.061875 per square inch. Thus, the 6x8 tiles are cheaper.
Explanation:To determine which tile is cheaper, you need to calculate the cost per square inch for each tile, and then compare them. The 6x8 tile has an area of 48 square inches (6 inches x 8 inches), and it costs $1.29. To find the cost per square inch, divide $1.29 by 48 square inches.
Cost per square inch for 6x8 tile: $1.29 / 48 = $0.026875
The 4x4 tile has an area of 16 square inches (4 inches x 4 inches), and it costs $0.99. To find the cost per square inch, divide $0.99 by 16 square inches.
Cost per square inch for 4x4 tile: $0.99 / 16 = $0.061875
Comparing these two amounts, the 6x8 tile at $0.026875 per square inch is less expensive than the 4x4 tile at $0.061875 per square inch. Therefore, the 6x8 tiles are cheaper than the 4x4 tiles.
the radius of a golf ball is 2.1 centimeters find the volume of the golf ball to the nearest tenth
The volume of the golf ball, rounded to the nearest tenth, is approximately 13.8 cm^3.
Explanation:
The volume of a sphere can be calculated using the formula V = (4/3)πr^3, where V is the volume and r is the radius of the sphere.
In this case, the radius of the golf ball is given as 2.1 centimeters. So, substituting the value of the radius into the formula, we can find the volume.V = (4/3)π(2.1)^3 = 4.4π cm^3. To find the volume to the nearest tenth, we substitute π with its approximate value of 3.14 and calculate V = 4.4 * 3.14 = 13.816 cm^3.Rounded to the nearest tenth, the volume of the golf ball is approximately 13.8 cm^3.
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$7800 increased by 22.5%
Dadas las funciones f(x) = x + 3, g(x)= x(cuadrada)+ 5x + 6,r(x) = x+2, s(x) = x(cuadrada) - 3x - 10
Determina (g(x)) (s(x))
The cost of a taxi is $2.75 plus $0.40 per half mile.write an equation to find the cost of a taxi ride that is m miles long How much would it cost you to travel 45 miles m=#miles c=#cost
1.C stand for ____.
a.cost
b.circle
2.what is the equation?
a.c=-0.4m+2.75
b.c=0.4m+2.75
3.what is the solution?
a.$6.35
b.$6.25
Alan drew a polygon with four sides and four angles. All four sides are equal.None of the angles are right angles.What figure did Alan draw
PLEASE HELP ASAP!!!!!
maths question help plz
how do you solve for x and y
The Eiffel Tower is about 301 m tall Cooper is making a scale model of the using the scale 750 meters : 1 meter to the nearest 10th of a meter, what will be the height of the scale model