The area of the shaded region is 125 square units.
To find the area of the shaded region, we first need to calculate the side length of the square ABCD. Since the area of the square is 625, we can find its side length by taking the square root of the area: √625 = 25 units.
Next, we know that CEFD is a rhombus, and its area is 500. Since the area of a rhombus is given by the formula: Area = (diagonal1 * diagonal2) / 2, we can find one of the diagonals of the rhombus. Let's assume diagonal 1 is 25 units.
Now, the other diagonal can be found by dividing the area by diagonal 1 and multiplying by 2: Diagonal 2 = (2 * Area) / diagonal 1 = (2 * 500) / 25 = 40 units.
Now that we have both diagonals of the rhombus, we can find the area of the shaded region, which is the area of the square minus the area of the rhombus.
Area of the shaded region = Area of square ABCD - Area of rhombus CEFD
Area of the shaded region = 625 - 500 = 125 square units.
So, the area of the shaded region is 125 square units.
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if abcd is a square with area 625, and cefd is a rhombus with area 500, then the area of the shaded region is. Write the answer in units. No figures needed.
What does 25 DIVIDE by 3 equal?
Step-by-step explanation:
25/3 = 8.33
hope it's helpful
J is the midpoint of HK, H has coordinates (3,−2), and J has coordinates (5,5). Find the coordinates of K.
The coordinates of K are
Step-by-step explanation:
H (3,-2 )..........J (5,5)...........K (x, y)
5=(3+x)/2
10=3+x
x=7
5=(-2+y )/2
10=-2+y
y=12
coordinates of k (7,12)
Formula: M = (x1+x2/2)=x,(y1+y2/2)=y
Find the x-coordinate.
(x1+5/2) = 3
x1 + 5 = 3
x1 = -2
Find the y-coordinate.
(y1+5/2) = -2
y1 + 5 = -4
y1 = -9
Therefore, the endpoint is (-2, -9)
Best of Luck!
yesterday, charlie went on a bike ride. his average speed was miles per hour. today, he went on another ride, this time averaging miles per hour. in the two days, he biked for a combined total time of hours. let be the number of hours he biked yesterday. write an expression for the combined total number of miles he biked in the two days.
The combined total number of miles Charlie biked in the two days can be expressed as the product of the average speeds for each day multiplied by the corresponding time durations.
Let's denote the number of hours Charlie biked yesterday as "x". According to the given information, his average speed on that day was "y" miles per hour. Therefore, Charlie traveled a distance of "xy" miles during yesterday's ride.
On the second day, Charlie biked for a total of (24 - x) hours, as the combined duration of the two days is given as 24 hours. His average speed on the second day was "z" miles per hour, resulting in a distance of (24 - x)z miles traveled.
To find the combined total number of miles Charlie biked in the two days, we need to sum up the distances traveled on each day. Therefore, the expression for the combined total number of miles is xy + (24 - x)z.
In summary, the expression for the combined total number of miles Charlie biked in the two days is xy + (24 - x)z, where "x" represents the number of hours he biked yesterday, "y" represents his average speed on that day, and "z" represents his average speed on the second day.
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please help me with this
Answer:
answer is 23&11
Step-by-step explanation:
no explanation
The table shows the average daily high temperature in a city each week for eight weeks after the first day of spring. Which of the following is an appropriate line of fit for the data? Look at the picture below; it does not need an explanation.
Answer:
Best line of fit: y = 1.7x + 54
Answer:
the best fit line is y=1.7x+54
Solve the system of equations.
y = 4x+1
y=x²+2x-2
Answer:
(-1, -3) or (3, 13)
Step-by-step explanation:
Since both equations equal “y”, we can set them equal to each other
4x + 1 = x^2 + 2x - 2
0 = x^2 - 2x - 3
0 = (x + 1)(x - 3)
x = -1 or 3
Now, to find “y”, plug in both values of “x” into any one of the given equations:
y = 4(-1) + 1 = -4 + 1 = -3
y = 4(3) + 1 = 12 + 1 = 13
Thus the answers are x=-1 and y=-3, or x=3 and y=13
Which of the following are mathematical sentences? Check all that apply.
O A. 9
O B. 4+3 = 7
OC. 7
OD. 2 <3
O E. 5-d=9
a
OF. 5-V
70
SUBMIT
Answer:
B D E F
Step-by-step explanation:
a mathematical sentence makes a statement about TWO expressions. it can also use symbols or words like equals, greater than, or less than.
Eric's mother drives to work in 20 minutes when driving at her usual speed. When traffic is bad,she drives 10 miles per hour slower, and the trip takes 10 minutes longer. What is Eric's mother's usual speed
Answer:
Pretty Sure it’s 20mph
Step-by-step explanation:
X/20=x-10/30
30x=20x-200
30x=20x-200
-20x
10x=-200
Divied by ten on both sides.
x=-20
20mph
Simplify, dont have to show work
3c-10c
Im not 100% sure what youre asking but if the value for C isnt given then it would be -7c because 3-10 is -7
(if theres a value for C can you let me know I can solve the actual thing it it would help more just lmk :)
Answer:
-7c
Step-by-step explanation:
your welcomeeeeeeeeee
hello! please help me solve this asap!
Answer:
3
Step-by-step explanation:
y-3 = 3x+12
y = 3x +15
so slope = 3 ( number next to the x)
Given the functions f(x) = x3 x2 – 2x 3 and g(x) = log(x) 2, what type of functions are f(x) and g(x)? justify your answer. what key feature(s) do f(x) and g(x) have in common? (consider domain, range, x-intercepts, and y-intercepts.)
The functions f(x) and g(x) are different functions
The function f(x) is a cubic function, while the function g(x) is a logarithmic function.
The common feature in both functions is their range
According to the statement
we have given that the some functions and we have to justify these functions.
The functions are given as:
f(x) = x³ + x² - 2x + 3 and g(x) = log(x) + 2
This means that the function f(x) is a cubic function, while the function g(x) is a logarithmic function.
The common key features of the functions
To do this, we plot the graphs of both functions
From the attached graph, we have the following features:
Function f(x)
Domain: -∞ < x < ∞
Range: -∞ < y < ∞
y - intercept = 3
x - intercepts = -2.37
Function g(x)
Domain: x > 0
Range: -∞ < y < ∞
y - intercept = None
x - intercepts = 0.01
By comparing the key features above, we can conclude that the common features in both functions is their range.
The functions f(x) and g(x) are different functions
The function f(x) is a cubic function, while the function g(x) is a logarithmic function.
The common feature in both functions is their range
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There were some people on the boat. 26 people got off the boat at the first harbor. 22 people got on the boat. Now there are 74 people on the boat.
How many people were on the boat to begin with?
Answer:
122
Step-by-step explanation:
Add all the people when they got off and left
26+74+22=122
Use the original price and the markup to find the retail price.
Original price: $70; Markup: 20%
The retail price is
Answer:
$84
Step-by-step explanation:
\(70(1.20)=84\)
if x=3√8, find the value of 1/x
plz its urgent
Answer:
\(\frac{1}{x} =\frac{1}{3\sqrt{8} } =\frac{1(\sqrt{8})}{3\sqrt{8}(\sqrt{8})} =\frac{\sqrt{8}}{3*8} =\frac{\sqrt{8}}{24} =\frac{\sqrt{(2)(2)(2)}}{24}=\frac{2\sqrt{2} }{2(12)} =\frac{\sqrt{2} }{12}\)
Complete the missing parts of the paragraph proof.
The parts in the proof is completed as follows
Slope of line DE = (c - c) / (a + b - b) = 0 / a = 0
Slope of line BC = (0 - 0) / (2a - 0) = 0 / 2a = 0
Therefore because slope of line DE = slope of line BC, DE || BC
What are parallel lines in math?The term parallel lines refers to lines in a plane that never cross each other, even when we stretch them.
The parallel lines are never in contact, hence their distance is always the same.
The slope of parallel lines are always equal.
In the proof the slope of the line DE and line BC is calculated as the values of zero was gotten
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Which of these numbers is not larger than -2 on a number-line?
(a) 0
(b) -1
(c) 5
(d) -3
Answer:
D is correct.
0 is greater than -2.
-1 is greater than -2.
5 is greater than -2.
-3 is smaller than -2.
Hope this helps!
Suppose that V and W are vector spaces, and let Hom(V, W) be the set of all linear transformations from V to W. Define addition and scalar multiplication on Hom(V, W) so that it is a vector space.
The definitions of addition and scalar multiplication on Hom(V, W) satisfy the vector space axioms, making Hom(V, W) a vector space.
To make Hom(V, W) a vector space, we need to define addition and scalar multiplication operations that satisfy the axioms of a vector space. Let's define these operations:
1. Addition:
Given two linear transformations T1, T2 ∈ Hom(V, W), we define their sum (T1 + T2) as a new linear transformation in Hom(V, W) such that for any vector v ∈ V,
(T1 + T2)(v) = T1(v) + T2(v).
2. Scalar Multiplication:
For a scalar c ∈ ℝ (real numbers) and a linear transformation T ∈ Hom(V, W), we define the scalar multiplication (cT) as a new linear transformation in Hom(V, W) such that for any vector v ∈ V,
(cT)(v) = c(T(v)).
These definitions of addition and scalar multiplication on Hom(V, W) satisfy the vector space axioms, making Hom(V, W) a vector space.
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hich statement regarding the diagram is true?
m∠WXY = m∠YXZ
m∠WXY < m∠YZX
m∠WXY + m∠YXZ = 180°
m∠WXY + m∠XYZ = 180°
Answer:
m∠WXY + m∠YXZ = 180
Step-by-step explanation:
Please can you tell me how much each balance show
Complete the following statement. Write your answer as a decimal or whole number.
__% of $10 = $1
Answer:
10% of $10=$1
Step-by-step explanation
1/10=10% hence 10% of $10 is %1
To select 10 students our of the class of 40 students, 40 names are placed in a hat and 10 names are drawn out of the hat. What type of sample is this? A. Stratified Random Sample B. Multistage Sample C. Simple Random Sample D. Cluster Sample E. Systematic Random Sample
Simple Random sampling as each student is getting equal opportunity to get selected.
Describe random sampling.
A selection of participants from a community are chosen at random by the investigator using simple random sampling, a sort of sampling techniques. Every individual in the population has the same chance of being chosen. Then, information is gathered from as much of this randomly selected subgroup as possible.
Which four forms of random sampling are there?
Simple random sampling, systematic sampling, stratified sampling, and cluster sampling are the four main random (probability) sampling techniques.
What benefit may simple random sampling provide?
The benefits of a simple random sample include its simplicity and accuracy of depiction. Simple random sampling is the easiest way to select a study sample from a bigger population.
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the 3px, 3py, and 3pz orbitals look the same, but they point in different directions. T/F?
True. The 3px, 3py, and 3pz orbitals are similar in shape but differ in their orientation or direction.
The p orbitals are one type of orbital that corresponds to the angular momentum number l = 1. These p orbitals are designated as 3px, 3py, and 3pz to indicate their orientations along the x, y, and z axes, respectively.
The p orbitals have a shape with a node at the nucleus. They consist of two lobes of electron density, one on either side of the nucleus, separated by a region of zero electron density. The lobes are oriented along the designated axes. The 3px orbital points along the x-axis, the 3py orbital points along the y-axis, and the 3pz orbital points along the z-axis. Although they have different orientations, their shapes and sizes are the same.
So, while the 3px, 3py, and 3pz orbitals differ in their orientation in space, they share the same overall shape and size.
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Aline has a stope of 3 and passes through the point (0,6). What is its equation in
sloge-intercept form?
write your answer using integers, proper fractions, and improper fractions in simplest form
Suomi
Answer:
Step-by-step explanation:
Answer:
y=3x+6
Step-by-step explanation:
The lowest temperature on a winter morning was –8$F. Later that same day the temperature reached a high of 24$F. By how many degrees Fahrenheit did the temperature increase?
Answer:
32 Fahrenheit
Step-by-step explanation:
Since it is -8, subtract -8.
Now, you have 0 Fahrenheit.
Then, you add 24, since the high was -24 Fahrenheit.
The total number you added and subtracted is 32 Fahrenheit.
Hope this helps!
Write in scientific notation:
0,007 832
Answer:
The scientific notation for this will be
\(7.832 \times {10}^{ - 3} \)
As there are three zero in expression
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEfind the average of the first 4 prime numbers greater than 10
Answer:
The average is mean
Mean is the sum of all the numbers divided by the total so the first prime numbers which are grater than 10 are 11, 13, 17, 19.
So we will add these
11+13+17+19=60
60/4= 15
SO 15 is the answer
Thank you for your help please help thanks
Answer: 147m²
Step-by-step explanation:
if pound of cheese costs $3.43, what is the cost per pound?
PLS HELP
Answer:
can you rephrase it? how many pounds are there?
Step-by-step explanation:
If 60% of the students in your class like Burger King, how many students are in your class if 15 students like Burger King?
Answer:
It is 9 students.
Step-by-step explanation:
You times 15 students and 60% and you get 9 students.
find output for the givin input
For f(x)=-5x+1, find (3).
Output for the givin input for function f(x)=-5x+1, f (3) is -14.
What is function ?
A function is a type of rule that produces one output for a single input. Source of the image: Alex Federspiel. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.
The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.
f(x)=-5x+1
Then, f(3)=-5*3+1
f(3)= -15+1
f(3)=-14
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