Answer:
8 m.
Step-by-step explanation:
Use the Pythagoras theorem
17^2 = 15^2 + AC^2
AC^2 = (17-15)(17+15) = 2 * 32
AC^2 = 64
AC = 8 m.
2) You go out to breakfast and order a meal that costs $7.24
and a coffee that costs $2.65. You want to leave a 15% tip.
How much will you leave for a tip?
Amount is paid for a tip = $1.48 that is 15% of the total cost.
What is tip?
Amount of money paid by the customer himself to express the gratitude.
towards the hospitality made by the certain service sector.
How much you leave for tip?cost of meal = $7.24
cost of coffee = $2.65
total cost including meal and coffee = $(7.24+2.65) = $9.89
tip is given by customer 15 % of total cost
the amount of tip paid = 15/100×9.89 =$1.48
The customer paid $1.48 along with total cost $9.89.
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Solutions
2
1) f(x) = x, and the transformed version of the function, g(x)
=
f(2(x + 1)) - 10
Answer:
Step-by-step explanation:
its 6
Can a triangle be constructed with sides 5 cm 6 cm and 11cm?
It is not possible to construct a triangle whose sides are 5 cm 6 cm and 11cm because the sum of two sides(5cm and 6cm) are equal to three sides(11 cm). The equal sides cannot form a triangle.
In the given question, we have to check that it is possible to construct a triangle whose sides are 5 cm 6 cm and 11cm.
The sum of the two sides must always be greater than the third side in order to determine whether or not the given sides may form a triangle.
To check this we firstly add the 5 and 6
5 + 6 = 11
11 = 11
Now we add 6 and 11
6 + 11 > 5
17 > 5
Now we add 5 and 11
5 + 11 > 6
16 > 6
It is not possible to construct a triangle whose sides are 5 cm 6 cm and 11cm because the sum of two sides(5cm and 6cm) are equal to three sides(11 cm). The equal sides cannot form a triangle.
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How do you know if a set of ordered pairs is a function?
The set of ordered pair (x,y) is a function If each value of x has exactly only one corresponding value of y .
What are Function ?
The Function is defined as a relation that associates each element 'a' from a non empty set A to at least a single element 'b' from another non-empty set B.
For Example : Consider the ordered pairs , F = [tex][(0,4) , (2,3)][/tex] ;
the element 0 has the image as 4 , and the element 2 has the image as 3 .
So , we can see that , the each value of x has exactly only one corresponding value of y .
Therefore , the given ordered pair can be considered as a function .
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Solve for x:
1. 3 (x-12) =15
2. -5 (-2×+10) =10
3. 8(6-4x) = 12
4. 3 (2+6X) = 18
Step-by-step explanation: hi I also need help with this when the answer is posted pls let me know
Answer:
1. 17
2. 6
3. (9/8)
4. (2/3)
Step-by-step explanation:
1. 3(x-12) =15
3x-36=15
3x = 51
x = 17
2. -5(-2×+10) =10
10x - 50 = 10
10x = 60
x = 6
3. 8(6-4x) = 12
48 -32x = 12
-32x = -36
x = (-36/-32)
x = (9/8)
4. 3(2+6X) = 18
6 + 18x = 18
18x = 12
x=(12/18)
x = (2/3)
Which of these numbers lies between 8885 and 9885?
a}8875
b}8895
c} 9895
d}9975
Answer:
b
Step-by-step explanation:
john is making a poster for safety awareness week. His poster has 2 sides of equal length. Which math words and numbers are important in this problem
Answer:
2 sides of equal length meaning the poster is a rectangle
"Complete the table of values and answer these questions. Which function has the greater rate of change between 0 and 1? Which function has the greater rate of change between 1 and 2? Which function has the greater rate of change between 0 and 2?"
1. The complete table is:
x | f(x) | g(x)
0 1 0
1 3 3
2 9 6
2. g(x) has the greater rate of change between 0 and 1 is: g(x).
3. f(x) has the greater rate of change between 1 and 2 is: f(x).
4. f(x) is greater.
How to Find the Rate of Change between an Interval?The rate of change = f(b) - f(a) / b - a.
Given the following functions as:
f(x) = 3^x
g(x) = 3x
1. Complete the table by plugging in each of the values of x:
x | f(x) | g(x)
0 f(0) = 3^0 = 1 g(0) = 3(0) = 0
1 f(1) = 3^1 = 3 g(1) = 3(1) = 3
2 f(2) = 3^2 = 9 g(2) = 3(2) = 6
2. Rate of change between 0 and 1:
a = 0
b = 1
For function f(x) = f(b) - f(a) / b - a = 3 - 1 / 1 - 0 = 2
For function g(x) = g(b) - g(a) / b - a = 3 - 0 / 1 - 0 = 3
The function with the greater rate of change between 0 and 1 is: g(x).
3. Rate of change between 1 and 2:
a = 1
b = 2
For function f(x) = f(b) - f(a) / b - a = 9 - 3 / 2 - 1 = 6
For function g(x) = g(b) - g(a) / b - a = 6 - 3 / 2 - 1 = 3
The function with the greater rate of change between 1 and 2 is: f(x).
4. Rate of change between 0 and 2:
a = 0
b = 2
For function f(x) = f(b) - f(a) / b - a = 9 - 1 / 2 - 0 = 4
For function g(x) = g(b) - g(a) / b - a = 6 - 0 / 2 - 0 = 3
The function with the greater rate of change between 0 and 2 is: f(x).
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Point A has coordinates A(2,1). What is the image after a dilation centered at the origin with a scale factor of 2?
The image of Point A, after a dilation which is centered at the origin with a scale factor of 2 is ( 4, 2 )
How to find the dilated coordinates ?When a dilation is centered at the origin with a scale factor of 2, the coordinates of a point are multiplied by 2.
Given a point A(2,1) , the image of point A after a dilation centered at the origin with a scale factor of 2 is:
Point X :
= 2 x 2
= 4
Point Y:
= 1 x 2
= 2
So the image of point A after the dilation is the point A' with coordinates ( 4, 2 )
It's important to note that dilation either expands or contracts the figure and the center of dilation is the fixed point around which the expansion or contraction occurs.
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How do I convert 2D to 3D in Autocad 2022?
To convert 2D to 3D in AutoCAD 2022, install Microsoft 3D Builder.
Transform your 2D ideas and designs into 3D models with Autodesk® software. Autodesk software not only enables you to digitally design, visualize and simulate your most complex ideas, but it also eases the transition from 2D to 3D design and engineering processes.
Steps are:
1. Install Microsoft 3D Builder.
2. Uploading an image and converting it to 3D.
3. Which conversion method to choose.
4. Level selection and smoothing.
5. Scale your image to the size you want.
6. Save the image.
7. Export the 3D model for 3D printing or other 3D applications.
8. Rendering the 3D model.
9. Share the 3D model with others.
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Find the measure of angles T and V.
Answer:
m<T = 36*
m<V = 54*
Step-by-step explanation:
2x + 90 + 3x = 180
5x + 90 = 180
5x = 90
x = 18
<T = 2x = 18 * 2 = 36
<V = 3x = 18 * 3 = 54
Hope this helps!
the comparison of two quantities with different units is called a
The comparison of two quantities with different units is called a ratio and proportion. A ratio that specifically compares two quantities measured in different units.
Comparing amounts is done using a ratio. A ratio demonstrates how many times one amount fits inside another or how much larger one amount is than another.
If I need to mix some cement, I would add two parts cement to four parts sand. The two numbers are both portions of the entire. Hence, the 2:4 ratio (6 parts in total). The written version is crucial; 4:2 would produce a different blend.
Ratios are expressed in their most basic form. There are five green and fifteen red dots in the figure on the right. The ratio is 15:5, but like with fractions, this can be boiled down to its most basic form.
If you look at the relationship between the numbers 15:5 as is 3:1, you can see that 3 is multiplied by 5 to obtain 15 and that 1 is multiplied by 1 to get 5. The ratio, as we can see in the image, is also 3:1.
Therefore,
The comparison of two quantities with different units is called a ratio and proportion. A ratio that specifically compares two quantities measured in different units.
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which statement best describes the liquid state of matter
a) it has define shape but indefinite volume
b) it has define shape and definite volume
c) it has indefinite shape and indefinite volume
d) it has indefinite shape but define volume
D) it has indefinite shape but define volume
Liquids take shape of whatever container you put them in but flow freely if un-restrained, it has a volume because it doesn't grow or disappear unless acted upon
HELP ASAP PLEASE k12
When graphing the dots the first number is x and the second is y. when you graph the dots it should line up and look like a straight line, it doesnt matter if its diagonal as long as its straight. thats one of the reasons on why its proportional. graph the third box. (-2,-4) (-1,-2) (1,2) (2,4). thats the only box with a proportional relationship because when checking if its proportional you put the y over x to make it a fraction. for example, 2/1 which simplified is just 2. then you do that again with the rest of the table. using the third table it would be -4/-2 which simplified is 4/2 2/1 also known as 2. -2/-1 2/1 2. 2/1 2. 4/2 2/1 2. all of those simplified is 2 meaning its proportional. hope this helps!
Nathan bought a wallet for 5% off its full price. What was the full price of the wallet if nathan paid $17. 67 before sales tax?.
The full price of the wallet that Nathan bought before the discount is $18.60
In this case, we are given that:
The total price after the discount = $17.67
Let’s assume that the full price of the wallet is X
The discount = 5% off = 0.05 X
We can find the full price by using this following formula:
Full price – discount price = total price after discount
X – 0.05X = 17.67
0.95X = 17.67
X = 17.67 : 0.95
X = 18.6
Therefore, the full price of the wallet before the discount is $18.6
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Monsieur le Gacy supports Paris St Germain Football Club. He went to twenty games last season.
They either played their matches at home or away.
• 60% of the games he attended were at home,
●
. The team won 2/3 of the home games,
They won 50% of all games Monsieur le Gacy attended.
●
How many games of the twenty did they win away from home?
The number of games that the team won away from home is given as follows:
2 games.
How to obtain the number of wins away from home?The number of games that the Paris Saint Germain team won away from home is obtained applying the proportions given in the context of this problem.
60% of the 20 games he attended were at home, hence 40% of the games were away games, hence the number of away games attended by Monsieur is given as follows:
0.4 x 20 = 8 games.
The team also won 2/3 of the home games, hence the number of wins at home is given as follows:
2/3 x 12 = 8 games.
They won 50% of all games Monsieur le Gacy attended, hence the number of wins is given as follows:
0.5 x 20 = 10 wins.
The wins are then divided as follows:
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Find the volume of a pyramid with a square base, where the perimeter of the base is 12. 8\text{ m}12. 8 m and the height of the pyramid is 12. 5\text{ m}12. 5 m. Round your answer to the nearest tenth of a cubic meter.
A pyramid with a square base has a volume of 42.67 cubic meters.
What is perimeter?A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter. The perimeter of a shape is the distance around its edge. A shape's perimeter is always computed by summing the lengths of each of its sides. The perimeter of a thing is the distance surrounding it. Your house, for example, has a fenced-in yard. The perimeter of the barrier is its length.
Here,
perimeter=12.8 m
side=12.8/4
=3.2 m
volume=1/3*3.2²*12.5
=1/3*128
=42.67 m³
The volume of a pyramid with a square base is 42.67 m³.
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The interactions of snakes and mice make up which ecological unit?
A. species
B. community
C. biome
D. population
Answer:
The interactions of snakes and mice make up which ecological unit?
A. species
B. community
C. biome
D. population
Step-by-step explanation:
The best answer here is community. Please see the explanation below.
Ecological UnitsA species is frequently defined in biology as the biggest group of creatures in which any two individuals of the appropriate sexes or mating types may create viable offspring, usually by sexual reproduction. Ex: "A rattlesnake and a cobra are two different species of a snake." OR "The male and female cows we found are the same species."A community, also known as a biological community, is a group or association of populations of two or more distinct species that occupy the same geographical region at the same time. Ex: "There are snakes, mice, and trees in the forest community."A biome is a community of plants and animals that live naturally in a certain region and have common traits. Ex: "The continent of Africa has rich biological diversity because it contains nine biomes."A population is the whole number of inhabitants occupying an area of the same species. Ex: "Ecologists are studying the decline of the red panda population in relation to ecotourism and zoos."Please let me know if this helped!!!
A bushel of apples weighs about 42
pounds.
There are 4 pecks in a bushel. It takes
2 pounds of apples to make one pie. How
many pies can you
make with one peck of
apples?
Answer:5
Step-by-step explanation: 42 divided by 4 = 10.5
10.5 divided by 2 = 5.25
round it and you get 5 pies per peck of apples
Taub is a high school basketball player. In a particular game, she made some three point shots and some two point shots. Taub made a total of 11 shots altogether and scored a total of 30 points. Graphically solve a system of equations in order to determine the number of three point shots made, x, and the number of two point shots made, y.
Is it possible to construct a triangle whose sides are 4.8 cm 6.2 cm and 12 cm if not why?
It is not possible to construct a triangle whose sides are 4.8 cm 6.2 cm and 12 cm because the sum of two sides (4.8 and 6.2) are smaller than third sides(12).
In the given question, we have to check that it is possible to construct a triangle whose sides are 4.8 cm 6.2 cm and 12 cm.
The sum of the two sides must always be greater than the third side in order to determine whether or not the given sides may form a triangle.
To check this we firstly add the 4.8 and 6.2
4.8 + 6.2 < 12
11 < 12
Now we add 6.2 and 12
6.2 + 12 > 4.8
18.2 > 4.8
Now we add 4.8 and 12
12 + 4.8 > 6.2
16.8 > 6.2
It is not possible to construct a triangle whose sides are 4.8 cm 6.2 cm and 12 cm because the sum of two sides (4.8 and 6.2) are smaller than third sides(12).
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help please ineed this
Answer:
(3,1)
Step-by-step explanation:
What is the table of 9 to 20?
Any number will do as a starting point. Then, multiply that figure by 9. If the outcome is a multiple-digit number .
what is sequence ?In mathematics, a sequence is a list of things that are in a particular order (or events). It has members, much like a set (also called elements, or terms). The number of ordered items determines the sequence's length (potentially infinite). Arithmetic sequences, geometric sequences, quadratic sequences, and special sequences are the four primary types of sequences that you should be aware with. A number sequence is a group of numbers connected by a rule. If you understand the rule, you can figure out the subsequent numbers in the series. Each number in this case differs from the others by 6. Because of this, the rule for this sequence is to add 6 each time.
given
Any number will do as a starting point.
Then, multiply that figure by 9. If the outcome is a multiple-digit number, add the digits to create a new number.
Add the digits of that new number together to create a new one if it is still a multi-digit number.
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Can someone help me I’m very confused?
3 of 10
What is the connection between goals and savings?
Goals can give you a reason to save.
You can save goals.
You can buy goals.
Goals are not connected to savings.
Next →
Answer: Goals can give you a reason to save.
Step-by-step explanation: Because You cant Save your goals, Buy your goals or Not connect to savings. I wish my answer was usefulThe table shows the length, in inches, of fish in a pond.
15 18 9 22
7 15 10 18
Determine if the data contains any outliers. If so, list the outliers.
There is an outlier at 22.
There is an outlier at 7.
There are outliers at 7 and 22.
There are no outliers.
In the table that shows the the length, in inches, of fish in a pond, there are no outlier. Last option
What is an outlier in mathematics?In mathematics, an outlier is a value that is significantly different from the other values in a dataset. Outliers can be caused by measurement error, data entry errors or by extreme values that are genuinely different from the bulk of the data. They can skew the overall picture of the data and can affect the results of statistical analyses.
Outliers can be identified in several ways, one way is to use a box-and-whisker plot, which shows the distribution of a dataset by displaying the minimum, first quartile, median, third quartile, and maximum values.
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Answer: D
Step-by-step explanation:
I got it right on the test
Write the equation of the line in standard form:
4y=2x+9
2x - 4y + 9 is the equation of the line in standard form.
What is standard form?Ax + By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x + 3y=5.
Finding both intercepts of an equation in this format is fairly simple (x and y). When resolving systems of two linear equations, this form is also really helpful.
Lets write the equation of the line in standard form:
4y=2x+9
We know that standard form = Ax + By=C
⇒ 4y = 2x + 9
⇒ 2x - 4y + 9
Here,
Ax = 2x
By = -4x
C = 9
Thus, 2x - 4y + 9 is the equation of the line in standard form.
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Juan bought 7.8 pounds of grapes for 2.85 per pound how much did Juan spend on grapes
Juan needs to spent 22.23 to buy 7.8 pounds of seedless red grapes.
What is a unitary method?A unitary method is a mathematical method for calculating the value of a single unit and then multiplying it by the number of given units.
Given that:
Juan purchased 7.8 pounds of seedless red grapes for $2.85 per pound.
The cost of the unit pound is already given here. To get the cost of 7.8 pounds, multiply the cost of the unit pound by the number of pounds, i.e.
= (7.8×2.85)
= 22.23.
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if triangle KLJ ~ to triangle VWU, find the value of x. (LK=25, KJ=4x-23, UV=2x+2, WV=20)
In the given diagram, using similar triangles theorem, the value of x is 17
Similar triangle: Calculating the sides of a triangleFrom the question, we are to determine value of x in the given diagram
From the similar triangles theorem, we can write that
JK/KL = UV/VW
From the given information,
JK = 4x - 23
KL = 25
UV = 2x + 2
VW = 20
Thus,
(4x - 23)/25 = (2x + 2)/20
20(4x - 23) = 25(2x + 2)
80x - 460 = 50x + 50
80x - 50x = 50 + 460
30x = 510
x = 510/30
x = 17
Hence, x is 17
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Find the value of x
The value of x is 70°
What is mean by polygon interior angle theorem? The Polygon Interior Angle Theorem states that the sum of all the interior angles of a polygon is equal to (n - 2)180 degrees, where n is the number of sides of the polygon. This theorem applies to all regular polygons, which are polygons with all sides of equal length. The theorem can be used to calculate the measure of an interior angle of a regular polygon by dividing the total sum of all the interior angles by the number of sides. For example, if a regular pentagon has five sides, the sum of the interior angles is 5(180) or 900 degrees. Therefore, the measure of each interior angle is 900/5 or 180 degrees. This theorem is also known as the Gauss-Bonnet theorem.
Solution:
Interior angle = (n-2) . 180°
(6 - 2) . 180°
Measure of Interior angle = 720°
x + 102 + 146 + 120 + 124 + 158 = 720°
x = 70°
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