A right triangle is removed from a rectangle to create the shaded region shown below find the area of the shaded region be sure to include the correct unit and your answer 3 ft 3 ft 8ft 10ft
Answers
The area of shaded region is 45 square units.
How to determine the area of shaded region?The complete question is added as an attachment
The area of the shaded region is calculated as
Shaded region =Area of rectangle - Area of triangle
Using the above as a guide, we have the following:
Area of rectangle = 8 * 6 = 48
Area of triangle = 1/2 * 2 * 3 = 3
Substitute the known values in the above equation, so, we have the following representation
Shaded region = 48 - 3
Evaluate the difference
Shaded region = 45
Hence, the shaded region is 45 square units.
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Related Questions
on a scale drawing, 1/4 in =2 foot. what are the dimensions on the scale for a room that is 27 ft by 20 ft
Answers
i cant fully answer it but i know the steps,
(the link is how you would set it up)
you can replace x with 20 or 27, i would start 20
The cooler at a picnic contained 4 apple juice boxes, 8 orange juice boxes, and 6 fruit punch juice boxes. a juice box is selected at random. what is the probability of the complement of choosing an orange juice box?
a. startfraction 1 over 18 endfraction
b. startfraction 4 over 9 endfraction
c. startfraction 5 over 9 endfraction
d. startfraction 17 over 18 endfraction
Answers
The probability of the complement of choosing an orange juice box is 17/18. (option d)
The complement of an event is the probability of that event not occurring. In this case, the event is choosing an orange juice box, so the complement is choosing any other juice box (i.e., an apple juice box or a fruit punch juice box).
The total number of juice boxes in the cooler is:
4 + 8 + 6 = 18
The number of juice boxes that are not orange juice boxes is:
4 + 6 = 10
Therefore, the probability of choosing a juice box that is not an orange juice box (i.e., the complement of choosing an orange juice box) is:
10/18 = 5/9
But the question asks for the probability of the complement, which is the probability of not choosing a juice box that is not an orange juice box. This is simply:
1 - 5/9 = 4/9
However, the question asks for the probability of the complement of choosing an orange juice box, not the complement of not choosing an orange juice box. These two probabilities are equal, since the event and its complement always add up to 1. Therefore, the probability of the complement of choosing an orange juice box is:
1 - 8/18 = 10/18 = 17/18
Therefore, the probability of the complement of choosing an orange juice box is 17/18.
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A dot plot titled Mister Hart'students going from 0 to 8. 0 has 1 dot, 1 has 0 dots, 2 has 2 dots, 3 has 2 dots, 4 has 1 dot, 5 has 4 dots, 6 has 2 dots, 7 has 1 dot, 8 has 2 dots. A dot plot titled Misses Perry's Students going from 0 to 8. 0 has 2 dots, 1 has 4 dots, 2 has 1 dot, 3 has 3 dots, 4 has 2 dots, 5 has 1 dot, 6 has 1 dot, 7 has 0 dots, 8 has 1 dot. The data plots represent the hours students study each week in two different classrooms. The mean number of hours a student in Mr. Hart’s class studies is hours. The mean number of hours a student in Ms. Perry’s class studies is hours. A typical student in Mr. Hart’s class studies a typical student in Ms. Perry’s class
Answers
A typical student in Mr. Hart’s class studies 1.56 hours per week and a typical student in Ms. Perry’s class studies 1.67 hours per week.
The mean is the average of a set of data, calculated by adding all the values in the set and dividing the sum by the number of values. The formula for calculating the mean is:
Mean = (Sum of all values) / (Number of values)
To calculate the mean of Mr. Hart’s class, we will first add up all the values from 0 to 8 in the dot plot:
0 + 0 + 2 + 2 + 1 + 4 + 2 + 1 + 2 = 14
We then divide this sum by the total number of values, which is 9:
Mean = 14 / 9 = 1.56
The mean of Mr. Hart’s class is 1.56 hours of studying per week.
Similarly, to calculate the mean of Ms. Perry’s class, we will add up all the values from 0 to 8 in the dot plot:
2 + 4 + 1 + 3 + 2 + 1 + 1 + 0 + 1 = 15
We then divide this sum by the total number of values, which is 9:
Mean = 15 / 9 = 1.67
The mean of Ms. Perry’s class is 1.67 hours of studying per week.
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According to cavalieri's principle, which pair of shapes would have equal volumes?
Answers
Two shapes would have equal volumes if the areas of their corresponding cross-sections are equal at every height.
According to Cavalieri's principle, two shapes have equal volumes if for every pair of parallel cross-sections taken at the same height, the areas of the cross-sections are equal.
1. Two cylinders with the same height and different radii.
As long as the cross-sectional areas of the cylinders at each height are the same, the volumes will be equal. The radii of the cylinders can vary.
2. Two cones with the same height and different base radii.
Similar to cylinders, as long as the cross-sectional areas of the cones at each height are the same, the volumes will be equal.
3. Two prisms with the same height and different base shapes.
If two prisms have the same height and the cross-sectional areas at each height are equal, then the volumes will be equal.
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A
B
Which of the following graphs will
display the narrowest parabola?
y = -2x²+x+3
f(x) = -4x² - 30x
Answers
A graph that would display the narrowest parabola is f(x) = -4x² - 30x.
How to determine the equation of a parabola?In Mathematics, the standard equation of the directrix lines for any parabola can be modeled or represented by the following mathematical expression:
y = a(x - h)² + k.
Where:
h and k are the vertex.a represents the leading coefficient.Generally speaking, the larger the absolute value of the leading coefficient of a quadratic function, the narrower would be graph of its parabola.
In this context, we have the following:
y = -2x²+x+3; a = -2
f(x) = -4x² - 30x; a = -4
|a| = |-2| = 2
|a| = |-4| = 4
Therefore, |-2| is less than |-4|.
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Answer it and show steps please
Answers
Step-by-step explanation:
See image:
Convert 2.5 gmm² to kgm²
Answers
Answer:2.5e-9
Step-by-step explanation:
Ballet is one of the most widely performed types of concert dance. Each year, thousands of people flood t
Choreographers plan each movement and step the dancers make. Countless hours of preparation go into pra
Classical ballet is a very difficult dance style to master. It strictly follows traditional ballet technique. Dancer
and artistically express routines. Good technique requires that dancers have proper alignment. Dancers' head
perfectly. Ballet places a lot of emphasis on the lines of the body. "Good lines" are a combination of the body a
from training.
The proper positioning of the feet is especially important to ballet dancing. Turnout is the basis for all ballet
outward from the hips down, and the knee and foot are turned away from the center of the body. A perfect turnc
feet when the dancer is in first position with his or her heels touching. The knees are also supposed to touch, a
One of the most recognizable classical ballet techniques is en pointe dancing. This skill requires that dancer
the tips of their toes for extended periods of time. It takes a lot of training and strength to dance en pointe. The e
abdominal muscles-is used for this technique. Dancers can injure themselves or permanently damage their fee
What does the word lines most likely mean as it is used in this passage?
A. use of abdominal muscles
OB. ability to follow routines
OC.
arrangement of the body
avoiding injury to the body
D.
Answers
The correct option for this question is C. arrangement of the body.
Why it is?
Based on the given passage, the word "lines" most likely refers to the arrangement of the body in ballet dancing. The passage states that "Ballet places a lot of emphasis on the lines of the body" and that "Good lines" in ballet are a combination of the body alignment and artistic expression.
It also mentions that proper positioning of the feet is important for achieving good lines and that turnout, which is the outward rotation of the hips and knees, is the basis for all ballet movements.
Therefore, "lines" in this context is referring to the visual lines created by the dancer's body and limbs in ballet dance, which are essential to proper technique and artistic expression.
Therefore, the correct answer is C. arrangement of the body.
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Triangle EFG is translated 3 units up and 5 units left. What are the
coordinates of E′?
Answers
Answer:
If E(x,y), then E’(x-5,y+3)
Step-by-step explanation:
Depending on E, E’ changes. The new coordinates for E’, however, is (x-5, y+3), if (x,y) is E, since you move left (-) 5 and up (+) 3.
6=5/3y
pls help me get this answer nowwww uwuwu
Answers
Answer:
exact form: [tex]\frac{18}{5}[/tex]
decimal form: 3.6
mixed number form: [tex]3\frac{3}{5}[/tex]
Answer:
y=18/5
Step-by-step explanation:
6=5y/3
multiply both sides:
6*3=5y
simplify 6*3 to 18:
18=5y
divide both sides by 5:
18/5=y
answer: y=18/5
J(7,2)k(-4,9),l(-3,-1)
Classify triangle
Answers
The triangle fοrmed by J(7,2), K(-4,9), and L(-3,-1) is a scalene οbtuse triangle.
What is scalene οbtuse triangle?A triangle is said tο be οbtuse scalene in geοmetry if οne οf its angles is larger than 90 degrees but less than 180 degrees, while the οther twο angles are bοth less than 90 degrees. Measurements fοr the three sides and angles vary.
Tο classify the triangle fοrmed by the pοints J(7,2), K(-4,9), and L(-3,-1), we need tο find the lengths οf its sides and apply the triangle classificatiοn criteria.
Using the distance fοrmula, we can find the lengths οf the sides:
[tex]JK = \sqrt{[(7 - (-4))^2 + (2 - 9)^2]} \\JK =\sqrt{ (11^2 + (-7)^2)} \\ JK =\sqrt{170} \\KL = \sqrt{[(-4 - (-3))^2 + (9 - (-1))^2]} \\KL =\sqrt{ (1^2 + 10^2) } \\KL = \sqrt{101} \\LJ = \sqrt{[(-3 - 7))^2 + ((-1) - 2)^2]} \\LJ=\sqrt{ (10^2 + (-3)^2)} \\LJ = \sqrt{109}[/tex]
Since all three sides have different lengths, the triangle is scalene.
Therefοre, the triangle fοrmed by J(7,2), K(-4,9), and L(-3,-1) is a scalene οbtuse triangle.
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A bicycle shop equips 60% of their bikes with a water bottle holder. 55% of the bikes they sell have a kickstand attached to the bike. 34% of the bikes sold have both
features. What is the probability that a randomly selected bicycle will have a kickstand or a water bottle holder?
Hurry
Answers
The probability that a randomly selected bicycle from a bicycle shop will have either a water bottle holder or a kickstand is 95%, calculated by adding the probabilities of each component being present and subtracting the probability of both being present.
The probability that a randomly selected bicycle from a bicycle shop will have either a water bottle holder or a kickstand is 95%. To calculate this, we first need to consider the probability that a bicycle has a water bottle holder, which is 60%. The probability that the bicycle has a kickstand is 55%. Then, the probability of a bicycle having both a kickstand and a water bottle holder together is the product of the individual probabilities, which is 34%. Thus, the probability that a randomly selected bicycle will have either a water bottle holder or a kickstand is 60% + 55% - 34% = 95%.
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a person is selected at random during the republican national convention. suppose the probability that the person selected is a woman is 38%, the probability that the person selected is tall is 54%, and the probability that the person selected is left-handed is 11%. assume that being female, tall, and left-handed are independent of each other. what is the probability that the person selected is a tall, left-handed woman?
Answers
The probability that the person selected is a tall, left-handed woman is 0.02.
Given that, The probability that the person selected is a woman is P(W) = 38% = 0.38
The probability that the person selected is tall is P(T) = 54% = 0.54
The probability that the person selected is left-handed is P(L) = 11% = 0.11
It is given that the events W, T, and L are independent of each other. Therefore, their joint probability is given by:
P(W ∩ T ∩ L) = P(W) × P(T) × P(L) = 0.38 × 0.54 × 0.11 = 0.02292
Now, the probability that the person selected is a tall, left-handed woman is given by:
P(T ∩ L ∩ W) = P(W ∩ T ∩ L) = 0.02292 = 0.02
Therefore, the probability that the person selected is a tall, left-handed woman is 0.02.
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Noah wants to share a certain amount of money with 10 people. However,at the last minute,he is thinking about decreasing the amount by 20 so he can keep 20 for himself and share the money with only 5 people. How much money is Noah trying to share if each person still gets the same
amount
Answers
The money is Noah wants to share with people if each person still gets the same amount is 4.
Explain about the substitution method?The algebraic approach to solving simultaneous linear equations is known as substitution method.
The value of one variable through one equation is substituted in the second equation in this procedure, as the name implies.It is only useful if the change of variable explains the situation and, ideally, makes it possible to solve the problem once it has been simplified. First, considering a situation in which variables exist, a substitution is simply a change of variable.Let the total amount Noah have be'y'.
The initial amount shared by Noah among 10 people be 'x'.
Then,
y = 10x
But,
Amount shared is decreased by 20, ans sharing with 5 people.
Then,
y - 20 = 5x
Put value of y.
10x = 5x + 20
On solving;
x = 20/5
x = 4
Thus, money is Noah wants to share with people if each person still gets the same amount is 4.
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0.0005 × 0.007
————————-
0.01
Answers
Answer:
0.00035
Step-by-step explanation:
0.0005×0.007 ×100
—————-------
1
0.0000035 ×100
0.00035
Simplifying positive expressions in multiplication.
Simplify.
(-2b^4a)^5
Write your answer without parentheses.
Answers
Answer:
_2⁵b⁴*⁵a⁵
Answer=_32b²⁰a⁵
PLEASE HELP NEED DETAILED WORD ANSWER I CAN USE
WILL MARK BRAINLIEST
please dont use for points or I will report
sorry!
Answers
Given the following question:
We have 60 balloons in total
4/12 of the balloons are black
3/12 of the balloons are white
We are trying to find the amount of red balloons Carter has:
Let...
B = black
W = white
R = red
[tex]B=(\dfrac{4}{12}) \times60=20[/tex]
[tex]B=20[/tex]
[tex]W=(\dfrac{3}{12}) \times60=15[/tex]
[tex]20+15=35[/tex]
[tex]60-35=25[/tex]
[tex]R=25[/tex]
Carter has 25 red balloons
Last question...this is geometry. 15 points to whoever gets it right and can explain
Answers
Answer: x=10
Step-by-step explanation:
sum of all the angles inside triangle is equal to 180degrees.
First angle: 9x-16
Second angle: 7x-5
Third angle: 3x+11
let's sum this angles:
9x-16+7x-5+3x+11=19x-10=180
19x=180+10=190
x=190/19=10
SOMEBODY PLEASE SEE THIS AND HELP ME IN STUCK
Answers
Answer:
population: 2,900,904.279
Step-by-step explanation:
You need to calculate the total area first. The figure is made from 2 smaller figures.
Area for the top figure = 159 x (345 - 276) = 159 x 69 = 10971
Area for the bottom figure = 265 x 276 = 73140
Total are = 10971 + 73140 = 84111 mi^2
so you have 34.489 people/mi^2 =>
34.489 x 84111 = 2,900,904.279 people
form A line has a slope of -4 and a y-intercept of 2. Write its equation in slope-intercept form Write your answer using integers, proper fractions, and improper fractions in simplest
Answers
Answer: Y= -4x + 2
Step-by-step explanation:
The slope intercept equation is y = mx + b
The slope or m in this situation is -4
The y- intercept or b is 2
When you substitute then slope and y-intercept into the equation you get
Y = -4x + 2
Liz spent her summer break working at Wild Lakes waterpark. At the end of the summer, she put $570 of her earnings into a savings account that earns 1% interest each year.
Answers
The total simple interest earned by Liz at the end of 5 years is found as: $28.5
Explain about the simple interest?A straightforward but effective idea. Very simply: interest is the benefit for saving - and the penalty of borrowing.
When you deposit funds into a savings account, you are paid interest, or additional money on top. The reason for this is that the bank gives you interest for letting them use your money.When someone owes money, they are assessed this fee. It indicates the time worth of money and is charged in relation to the principal sum. It is the prize for holding out and refusing to accept an early reward.Principal P = $570
Interest r = 1%
Time t = 5 years.
SI = P*R*t / 100
SI = 570*1*5 / 100
SI = 28.5
Thus, the total simple interest earned by Liz at the end of 5 years is found as: $28.5.
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The complete question is-
Liz spent her summer break working at Wild Lakes waterpark. At the end of the summer, she put $570 of her earnings into a savings account that earns 1% interest each year. Find her simple interest after 5 years.
I have 1,792 Pokémon cards, I also have 7 friends. I want to split the cards between me and the 7 of them. How many cards should each person get? Does the answer of this question has a remainder? Solve and Explain how you got your answer
Answers
We can confirm that each person should receive exactly 224 Pokémon cards, and there won't be any cards left over.
To split the 1,792 Pokémon cards equally between 8 people, including yourself and your 7 friends, you need to divide the total number of cards by the number of people:
1,792 cards ÷ 8 people = 224 cards per person.
So each person should get 224 Pokémon cards.
However, we should also check if there is a remainder after the division. To do that, we can multiply the number of cards each person is getting by the number of people and subtract it from the total number of cards:
224 cards/person x 8 people = 1,792 cards
1,792 cards - 1,792 cards = 0 remainder
Since there is no remainder, we can confirm that each person should receive exactly 224 Pokémon cards, and there won't be any cards left over.
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here are six numbers
-7 -5 -3 3 1 -1
arrange the cards into three pairs with the same total
Answers
Answer:
-7 and 3
-5 and 1
-3 and -1
Step-by-step explanation:
-7 + 3 = -4
-5 + 1 = -4
-3 + -1 = -4
-7+3=-4
-5+1=-4
-3-1=-4
Please ASAP Help
Will mark brainlest due at 12:00
Answers
The coordinates of the midpoint of the given segment is; (-15, 4)
How to find the midpoint of the coordinates?For any specific line segment, it is well known that the midpoint is defined as the halfway between its two endpoints. The expression that is used to find the x-coordinate of that midpoint is expressed as: [(x)1 + (x)2]/2, which denotes the average of the x-coordinates. Similarly, the expression that is used to find the y-coordinate of that midpoint is expressed as: [(y)1 + (y)2]/2, which is the average of the y-coordinates.
We are given the coordinates of the endpoints of the line as;
K(-11, 2) and L(-19, 6)
Thus;
Midpoint Coordinate = (-11 - 19)/2, (2 + 6)/2
= (-15, 4)
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PLS HELP ME QUICK!!!
Answers
Relation 2 and 3 are actual functions with proper domain, co domain, range.
Describe Function?A function can be represented in several ways, including using algebraic expressions, tables, graphs, or even words. For example, the function f(x) = 2x + 1 defines a relationship between the input x and the output 2x + 1. If we input x = 3 into this function, the output would be f(3) = 2(3) + 1 = 7.
Functions can have different properties, such as being continuous or discontinuous, being differentiable or nondifferentiable, or having maximum or minimum values. Functions can also be classified according to their types, such as linear, quadratic, exponential, logarithmic, trigonometric, or piecewise-defined functions.
Functions are used extensively in mathematics, science, engineering, economics, and many other fields to describe real-world phenomena and to solve practical problems. They are also studied in their own right, as objects of mathematical interest and beauty, with deep connections to many other areas of mathematics, such as calculus, analysis, and algebra
Relation 2 and 3 are actual functions with proper domain, co domain, range.
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Coins are placed into a treasure chest, and each coin has a radius of 1.4 inches and a height of 0.0625 inches. If there are 230 coins inside the treasure chest, how many cubic inches of the treasure chest is taken up by the coins? Round to the nearest hundredth and approximate using π = 3.14.
Answers
Answer: 32.2 cubic inches
Step-by-step explanation:
The volume of one coin can be calculated using the formula for the volume of a cylinder: V = πr^2h, where r is the radius and h is the height.
Substituting the given values, we get:
V = π(1.4)^2(0.0625)
V ≈ 0.14 cubic inches (rounded to the nearest hundredth)
To find the total volume of all the coins, we can multiply the volume of one coin by the number of coins:
Total volume = 230 × 0.14
Total volume ≈ 32.2 cubic inches (rounded to the nearest hundredth)
Therefore, the coins take up approximately 32.2 cubic inches of the treasure chest.
Find the smallest value of n such that Sn lies within the distance 70 x 10^-6 of the true sum
Answers
Answer:
0.00007
Step-by-step explanation:
Olivia and Kalina are running a lemonade stand for one weekend. They sell lemonade for $0. 75
per cup. On Saturday, they sell 37 cups. For the weekend, they want to make at least $45. 00 in
sales on lemonade. Let c be the number of cups they sell Sunday,
If they sell 12 cups on Sunday will they reach their goal? Show this work on your paper and use it
to help you answer the next question. *
Answers
Yes, they will reach their goal of $45.00 by selling 12 cups of lemonade on Sunday.
Yes, they will reach their goal. To calculate this we can use the following formula:
Total Sales = (Number of cups sold on Saturday × Price per cup) + (Number of cups sold on Sunday × Price per cup)
Total Sales = (37 × 0.75) + (12 × 0.75)
Total Sales = 27.75 + 9
Total Sales = 36.75
Since 36.75 is greater than the goal of 45.00, they will reach their goal. This can be further verified by looking at the total cost of the cups they sold. 37 cups sold on Saturday at $0.75 each will cost $27.75. Adding the 12 cups sold on Sunday at $0.75 each will cost $9, bringing the total cost of the cups sold to $36.75. This is the same amount that was calculated using the formula above. Therefore, they will reach their goal by selling 12 cups of lemonade on Sunday.
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Martha likes to knit hats and mittens for friends and family. Last fall, she knitted 3 hats and 3
pairs of mittens, which took a total of 51 hours. This fall, she knitted 3 hats and 5 pairs of
mittens, which took a total of 77 hours. If each hat takes the same amount of time and each
pair of mittens takes the same time, how long does it take Martha to knit each item?
hours to knit a pair of mittens.
It takes Martha
hours to knit a hat and
Answers
It takes Martha `4` hours to knit each hat and `13` hours to knit each pair of mittens.
What is meant by hours?
Hours are a unit of time used to measure the duration of an event or activity. An hour is equal to 60 minutes or 3,600 seconds. It is often used to indicate the time of day or to schedule appointments or events.
What is a pair?
A pair is a set of two things that go together or belong together, like a pair of shoes, socks, or gloves. It can also refer to a pair, a duo, or a twosome.
According to the given question
Let's assume that each hat takes `h` hours to knit and each pair of mittens takes `m` hours to knit.
From the given information, we know that:
- 3 hats and 3 pairs of mittens took a total of 51 hours. This means that 3h + 3m = 51.
- 3 hats and 5 pairs of mittens took a total of 77 hours. This means that 3h + 5m = 77.
We can use these two equations to solve for `h` and `m`.
First, let's solve for `h` by multiplying the first equation by 5 and the second equation by 3, and then subtracting the second equation from the first:
15h + 15m = 255
9h + 15m = 231
-----------------
6h = 24
h = 4
So each hat takes Martha `4` hours to knit.
Now we can use either of the original equations to solve for `m`. Let's use the first one:
3h + 3m = 51
3(4) + 3m = 51
12 + 3m = 51
3m = 39
m = 13
So each pair of mittens takes Martha `13` hours to knit.
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X-intercept:
y-intercept:
y
1
9
8
7
6
5
NO 10
4
3
2-
1
x
-9-8-7 -6 -5 -4 -3 -2
1
2 3 4 5 6 7 8 9
CON
-2
-3
-4
-5
-6
-7
-8
-9
Answers
Answer: diffrent form so i can help you better
Step-by-step explanation: