Answer:
11 > n > 4
Step-by-step explanation:
Given any two sides of a triangle, we now that the sum of such sides MUST be greater than the measure of the remaining side. This is, given the three sides a, b and c, it must be that:
a + b > c
a + c > b
b + c > a
For our case:
7 + 4 > n (1) ---> 11>n
7 + n > 4 (2)
4 + n > 7 (3)
The 1 inequality says that the n side MUST be less than 11.
Now, pick the (3) inequality and subtract 4 in both sides:
4 + n -4 > 7 - 4
n > 3
So, the n side must be grater than 3.
Thus, the solution is:
11 > n > 3
As we are working with integers we now that the grater integer larger than 3 is 4, and the greater integer less than 11 is 10. So, the side must be equal or greater to 4 and equal or less than 10:
10 >= n >= 4
How can I find the Slope intercept
A can of juice has a diameter of 6.6 centimeters and a height of 12.1 centimeters. What is the total volume of a six pack of juice cans
To find the total volume of a six-pack of juice cans, calculate the volume of one can using the cylinder volume formula, [tex]V = \pi r^2h[/tex], and multiply by six. One can's volume, with a diameter of 6.6 cm and a height of 12.1 cm, is approximately 414.18 [tex]cm^3[/tex]. Multiplying by six gives a total volume of approximately 2485.08 [tex]cm^3[/tex] for the six-pack.
To calculate the total volume of a six-pack of juice cans, we first need to find the volume of a single can and then multiply that by six, since a six-pack contains six identical cans.
First, let's find the volume of one can using the formula for the volume of a cylinder [tex]V = \pi r^2h[/tex], where r is the radius and h is the height.
Given the diameter of a juice can is 6.6 centimeters, the radius r is half of that, which is 3.3 centimeters. The height h is 12.1 centimeters. Therefore, the volume of one can is:
[tex]V = \pi (3.3 cm)^2(12.1 cm) = \pi (10.89 cm^2)(12.1 cm) = \pi (131.769 cm^3) = 414.18 cm^3[/tex]
Now, to find the total volume for a six-pack, we multiply the volume of one can by six:
Total volume = 6 × 414.18 [tex]cm^3[/tex] ≈ 2485.08 [tex]cm^3[/tex]
Thus, the total volume of a six-pack of juice cans is approximately 2485.08 cubic centimeters.
Khafre was a son of Khufu. He also had a pyramid built, but it was not as big as his father’s. The volume of the Pyramid of Khafre is about 2,115,072 cubic meters, and its height is about 136 meters. Approximate the length of each side of the base.
Could you work it out also!
Can someone help me and also try to explain how they got their answer
Which is C= 100w/l solved for w?
A.)W=100CL
B.)W= LC/100
C.)W= 100C/L
D.)W= 100/LC
Final answer:
To solve for 'w' in the equation C = 100w/l, multiply both sides by 'l' and then divide by 100, resulting in 'w = Cl/100', which is option B.
Explanation:
To solve the equation C = 100w/l for w, we need to isolate w on one side of the equation:
Multiply both sides by l to get Cl = 100w.
Divide both sides by 100 to isolate w, which gives us w = Cl/100.
Therefore, the equation solved for w is w = Cl/100, which corresponds to option B.) W = LC/100.
PLEASE HELP!
Drag and drop an answer into each box to correctly complete the statement
Answer:
A reflection is a transformation that maps point P in a figure, over a line AB, such that for point C at the intersection of AB and PP', PC = PC' and m∠ACP = 90°
Step-by-step explanation:
After the reflection of P across the line AB, P' is created, where PP' and AB are perpendicular. Given that point C is at the intersection of the lines, then m∠ACP = 90° and PC = PC'.
An online store randomly samples three groups of 100 customers on which delivery method they use. The data shows the results of the three samples.
Overnight 2-Day Standard Total
Group 1 27 20 53 100
Group 2 32 17 51 100
Group 3 34 19 47 100
The online store has 2755 customers one day.
Based on the samples, what is a reasonable estimate of the number of people who will use overnight delivery?
Enter your answer rounded to the nearest whole number in the box.
The answer is 854 for sure. I did the test and got it all right.
Answer:
854 customers.
Step-by-step explanation:
An online store randomly samples three groups of 100 customers on which delivery method they use. The data shows the results of the three samples.
Overnight 2-day Standard Total
Group (1) 27 20 53 100
Group (2) 32 17 51 100
Group (3) 34 19 47 100
Total customers 93 56 151 300
We have to calculate the number of people who will use overnight delivery.
Out of 300 customer there are 93 people who would use overnight delivery, so the percentage = [tex]\frac{93}{300}[/tex] × 100 = 31%
The online store has 2755 customers one day.
Therefore, 31% of the 2755 customers = [tex]\frac{31}{2755}[/tex] × 100 = 854.05 ≈ 854 customers.
854 customers would use overnight delivery.
You have 4/6 cup of cornmeal in your cupboard. A recipe for 2/5 muffins calls for cup of cornmeal. How much cornmeal would you have left if you made the muffins?
If five people share three cartons of Chow mein, what is each person sharing
Find the value of x in the solution to the system of equations shown.
A. x = 2.33
B. x = 3
C. x = 4.2
D. x = 5.4
The value of x in the solution to the system of equations will be 3. Then the correct option is B.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The system of linear equations is given below.
y = 14x - 6 ...1
y = -4x + 48 ...2
From equations 1 and 2, then the value of the variable 'x' will be given as,
14x - 6 = -4x + 48
14x + 4x = 48 + 6
18x = 54
x = 3
The value of x in the solution to the system of equations will be 3. Then the correct option is B.
More about the solution of the equation link is given below.
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Express 23,495 in scientific notation.
A passenger train and a freight train leave San Jose at 3 p.m., traveling in the same direction. The passenger train is going three times as fast as the freight train. At 6 p.m. they are 240 miles apart. How fast is each travelling?
PLEASE HELP!!!
Answer:
passenger was 120 and freight was 40
Step-by-step explanation:
on the left bottom, im not sure what to do there
John has 8/9 of a gallon of apple cider vinegar. If it takes 1/7 of a gallon of vinegar to make a batch of collard greens, how many batches can john make?
John can make 6 whole batches of collard greens with 8/9 of a gallon of apple cider vinegar, accounting for each batch requiring 1/7 of a gallon of vinegar.
The question asks how many batches of collard greens John can make with 8/9 of a gallon of apple cider vinegar, considering that each batch takes 1/7 of a gallon.
To find the answer, divide the total amount of vinegar John has by the amount of vinegar required for one batch:
Total amount of vinegar John has: 8/9 gallon
Amount of vinegar required for one batch: 1/7 gallon
Now, we use division to find out how many batches can be made:
(8/9), (1/7)
Multiply the first fraction by the reciprocal of the second fraction: (8/9) * (7/1)
Simplify the multiplication: (8 * 7) / (9 * 1)
Calculate the result: 56/9
Finally, we determine how many whole batches John can make, since partial batches are generally not considered. As 56/9 is equal to 6 with a remainder, John can make 6 whole batches of collard greens.
nadiyah found the circumference of a circle with a diameter of 4.9 in to be 20in. is her answer reasonable? explain
The circumference of circle is given by :
[tex] C =2\pi r [/tex]
where r is radius of circle and pi =3.14
Radius = half of diameter
Radius = (1/2) *4.9 = 2.45 in.
Now let us plug the value of radius in the formula for circumference.
[tex] C =2(3.14)(2.45) [/tex]
C = 15.386 inches
But circumference found by Nadiyah is 20 inches.
So the circumference found by Nadiyah is incorrect as correct one is 15.386 inches.
Katie Fulton, a food supplements Representative, had sales of 5859 with allowances of $422. If her commission rate is 5%, find her gross earnings.
Katie Fulton's gross earnings would be $271.85 as calculated deducting allowances from total sales and then applying the 5% commission rate.
Explanation:In this problem, Katie Fulton, the food supplements Representative, had total sales of 5859 dollars and the allowance has to be deducted from the total sales making the correct value for calculation 5437 dollars ($5859 - $422 = $5437).
Given that she earns a commission of 5%, we can calculate her gross earnings by multiplying her sales after allowance with this commission rate:
Gross Earnings = Commission rate * Sales after allowance = 0.05 * 5437 = $271.85.
So, Katie Fulton's gross earnings would be $271.85.
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In a square of a side length s, what is the length of a diagonal?
Final answer:
The length of the diagonal in a square with side length s is s√2, calculated by using the Pythagorean theorem which relates the side lengths of a right triangle.
Explanation:
To find the length of a diagonal in a square with side length s, we can use the Pythagorean theorem. In a square, the diagonal splits the square into two right triangles. Therefore, the length of the diagonal can be seen as the hypotenuse of a right triangle where the other two sides are both of length s. The Pythagorean theorem tells us that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
Here is the step-by-step solution using the Pythagorean theorem:
Let the side length of the square be s.
Since the sides of the square are equal, the lengths of the two sides of the right triangle (formed by the diagonal) are also s.
According to the Pythagorean theorem, the square of the diagonal length d is d² = s² + s².
This simplifies to d² = 2s².
Take the square root of both sides to find the length of the diagonal d = √(2s²).
Therefore, the length of the diagonal is d = s√2.
Arlene Frank is saving money for her college
Help ASAP
Nina is participating in a swim-a-thon to raise money for a charity. For every lap that Nina swims, her grandmother has promised to donate $2.50. If Nina swims 18 laps, how much will her grandmother donate?
A.$45.00
B.$20.50
C.$18.00
D.$7.20
How do you find the area of a rectangular prism?
A rectangle of length 10 units and width 5 units is shown. Inside this rectangle is another rectangle of length 9 units and width 3 units placed symmetrically inside the larger rectangle. The smaller rectangle is shaded gray. If you choose a point inside the large rectangle, what is the probability that it is not inside the shaded rectangle?
24%
27%
46%
54%
Answer
46% is the answer. :)
Use equal intervals to make a frequency table for the average number of movies per person. You do not need to show tally marks.
Country Average Number of Movies
Turkey 0.5
Japan 1.2
UK 1.3
Finland 1.3
Austria 1.5
Germany 1.8
Spain 2.2
Sweden 2.2
Denmark 2.2
Switzerland 2.5
France 2.5
Norway 3.0
Canada 3.0
US 4.5
0-0.7 | 1
0.8-1.5 | 4
1.6-2.3 | 4
2.4-3.1 | 4
3.2-3.9 | 0
4-4.7 | 1
Please help ‼️ I’m doing functions
55% decrease followed by a 25% increase
Triangle ABC, with coordinates A(2, 3), B(3, 5), C(7, 4), is dilated by a scale factor of 2. What are the coordinates of the dilated figure, triangle A′B′C′? A′(4, 6), B′(6, 10), C′(7, 4) A′(2, 3), B′(3, 5), C′(7, 4) A′(4, 6), B′(6, 10), C′(14, 8) A′(4, 6), B′(3, 5), C′(14, 8)
The Answer is C for plato
Where does A and B go HURRY ASAP
Which of the following is true about the age of rock layers and the age of the Earth? A. All rock layers are older than the Earth. B. The Earth is older than any rock layer. C. The bottom layer in a sequence of rock layers is older than the Earth. D. The top layer in a sequence of rock layers is older than the Earth.
The Earth is older than any rock layer. This fact is determined through the use of principles like the law of superposition and radioactive dating methods, such as uranium-lead dating. The oldest rocks on Earth have been dated to be almost 4.4 billion years old, whereas the Earth itself is estimated to be around 4.5 billion years.
Explanation:This is based on geological principles and radioactive dating methodologies. One of the foundational principles in geology is the law of superposition, which states that in an undisturbed sequence of rock layers, each layer is younger than the one below it.
The age of Earth is estimated to be around 4.5 billion years. We can deduce this from radioactive dating methods, such as uranium-lead dating. In this method, the oldest rocks on Earth, known as the Jack Hills zircons from Australia, have been dated at almost 4.4 billion years old.
Given these findings, it is understood that no existing rock layer can be older than the Earth itself.
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B. The Earth is older than any rock layer.
The Law of Superposition states that in an undeformed sequence of sedimentary rocks, the bottom layer is the oldest and the top layer is the youngest. Applying this principle to the Earth's rock layers, we can conclude that the Earth is older than any rock layer as the layers closer to the surface are younger compared to those at the bottom.
Draw 6 circle make 3 groups shade 1 group
Use the distributive property to simplify the expression (12 + 10x) 1/2
Answer:
2(5x + 6)
Step-by-step explanation:
i think you need to rearrange 12 + 10x which that is also 2(5x + 6) ?
sorry if i didn't explain well
Answer:
i Don’t understand
Step-by-step explanation:
pls give me brainliest for the love of god
What is the median of the data set represented by the dot plot?
Enter the answer in the box.
Answer:
The median is 14.
Step-by-step explanation:
You count 4 dots on both side and in the middle is 14 so 14 is the median.
Answer: 14
Step-by-step explanation: count 4 dots on both side and in the middle is 14