What is the distance between the points (3, 12) and (14, 2)?
Answer:
√221 or 14.866
Step-by-step explanation:
The distance formula is
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Using our coordinates, we have
[tex]d=\sqrt{(12-2)^2+(3-14)^2}\\\\=\sqrt{10^2+(-11)^2}\\\\=\sqrt{100+121}\\\\=\sqrt{221}\approx 14.866[/tex]
The distance between the points (3, 12) and (14, 2) is 14.86 units.
What is the distance between two points?The distance between two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For given example,
We need to find the distance between points (3, 12) and (14, 2)
Consider given points as,
[tex](x_1,y_1)=(3,12)\\\\(x_2,y_2)=(14,2)[/tex]
Using the distance formula, the distance between two points would be,
[tex]\Rightarrow d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\\Rightarrow d=\sqrt{(14-3)^2+(2-12)^2}\\\\\Rightarrow d=\sqrt{(11)^2+(-10)^2}\\\\\Rightarrow d=\sqrt{121+100}\\\\\Rightarrow d=\sqrt{221}\\\\\Rightarrow d=14.86~units[/tex]
Therefore, the distance between the points (3, 12) and (14, 2) is 14.86 units.
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Serena is making a model of one of the Egyptian pyramids. The square base has sides that are all 4.4 in. Each of the triangular faces has a base of 4.4 in and a height of 3.8 in. How much paper would it take to cover the entire pyramid?
A.
73.57 sq in
B.
82.78 sq in
C.
52.8 sq in
D.
12.6 sq in
?? Graduation soon help me please, I’ve gotten lazy
what is 4/5 * 2
[tex] \frac{4}5 \times 2 [/tex]
naomi needs to solve 28 ÷ 7 = ?what related multiplication fact can she use to find the unknown number?
How many square feet of outdoor carpet will need for this hole
The pyramid of Khufu, also known as the Great Pyramid of Giza, is one of the Seven Wonders of the World. Its volume is about 2,433,400 cubic meters, and its height is about 138 meters. Substitute these values into the equation S = √3v/h, and solve the equation
The solution of then given equation is 221.31 meters.
What is the Volume?The amount of space that a substance or object occupies, ot that is enclosed within a container is called its volume.
Now it is given that,
volume of pyramid, v = 2,433,400 cubic meters
height of pyramid, h = 138 meters
Given equation is,
S = √3 v/h,
To find the solution of the given equation,put the value of v and h in the equation. So,
S = √3 x 2,433,400/138 meters
Solving it we get,
S = 221.31 meters
Hence, the solution of then given equation is 221.31 meters.
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one hundred draws are made at random with replacement from the box 1, 2, 3, 4, 5, 6.
a) if the sum of the draws is 321, what is their average
b) if the average of the draws is 3.78, what is the sum?
c) estimate the chance that the average of the draws is between 3 and 4
The average is calculated by the sum divided by the count, so the average of 321 over 100 is 3.21. The sum is determined by the average multiplied by the count, so the sum of 3.78 times 100 is 378. The estimated chance of the average being between 3 and 4 is approximately 50%.
Explanation:a) The average of a set of numbers is calculated by summing those numbers and dividing by the count. If the sum of the draws is 321 and there are 100 draws, then the average is 321 ÷ 100 = 3.21.
b) If the average of the draws is 3.78 and there are 100 draws, then the sum of the draws is 3.78 * 100 = 378.
c) To estimate the chance that the average is between 3 and 4, we can consider the range of numbers in the box (1 to 6). Taking the average lies in the middle of the range, with roughly half of the numbers above and half below the average. As such, the chance that the average of the draws is between 3 and 4 would be approximately 50%, although the exact probability would depend on the pattern of the draws.
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When Mr. Krumm purchased a tie he paid $9.27, which included the 3% sales tax. How many dollars did the tie cost before the tax was included?
A storage room measures 48 inches by 60 inches.what is the total area in square feet of the closet?
The graph of a function is a line that passes through the points (1,4), (3,8), and (6,y). What is the value of y?
The value of y according to the given points is; y = 14
Slope of linear functions;From the first two coordinates; (1,4) and (3,8)
The slope of the line is;.
m = (8-4)/(3-1)m = 4/2m = 2
Therefore; similarly;
m = 2 = (y-8)/(6-3)2 = y-8/36 = y -8Therefore, y = 6+ 8 = 14.
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1. A soup company uses a cylindrical can for their soup with a radius of 4 cm.
If the volume of the can is 240π cm3, what is the height of the can?
Explain how you determined the answer.
2.Consider a cylinder with radius 4 cm and a height of 12 cm.
Describe how to calculate the volume of the given cylinder and what the volume means.
3.A cracker company wants to make a rectangular box to hold their crackers.
They want the height of the box to be 10 inches and the width to be 4 inches.
Explain how to calculate the length the box needs to be in order for the volume of the box to be 200 cubic inches.
Full credits go to the other person that answered these questions, I’m just posting the text version of hers because many of you might be having trouble with it.
So, here it is:
1. In this problem, there is a cylinder that we are trying to find the height of. We know the radius which is 4, and we know that the volume which is 240.
V = πr^2
Volume: πr^2h
240 = π4^2h
240/16 = 16π(h)/16
H = 15cm
2. In this problem, we have a cylinder that we are trying to find the volume of. We know the radius which is 4, and we know the height which is 12.
Volume = πr^2h
V = π4^2(12)
= 16 π(12)
V = 192 π^2
3. In this problem, we have a rectangle that we are looking for the length of. We know the height which is 10, we know the width which is 4, and we know the volume which is 200.
Volume = L*W*H
200 = L*4*10
200/40 = 40L/40
L = 5in
Hope I helped!
PLEASE HELP(.-. )
....
SIMPLIFY THE ROOT√124 AND EXPLAIN YOUR REASONING PLEASEEEE!! °ω°
√124
=√4 x 31
=√2 x 2 x 31
=√2 x 2 x √31
=2 x √31
=2√31
In this box-and-whisker plot, what is the maximum value of the data?
53
56
60
68
The length of the minute hand is 200% of the length of the hour hand.
In 1 hour, how much farther does the tip of the minute hand move than the tip of the hour hand? Round your answer to the nearest hundredth.
(The length of the hour hand is 20mm)
The bar graph shows the number of dinner reservations at a restaurant for one week. What percent of the reservations were for Friday or Saturday? Monday 15 Tuesday 5 Wednesday 10 Thursday 25 Friday 40 Saturday 30 Sunday 35
Write this number in standard form.
one and four tenths
leos total bill at the blue lobster ame to $45.90. He wanted to leave a 20% tip what would the total cost with the be?
4a - 4( 15a - 2) - 8
A bicyclist heads east at 10km/h. After she has traveled 24.2 kilometers, another cyclist sets out in the same direction going 30km/h. About how long will it take the second cyclist to catch up to the first cyclist?
Explain how you can compare the size of a product to the size of a factor when multiplying fractions without actually doing multiplication including model
The Comparison size of product and factors is shown below.
What are factors?A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.
For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly.
A fraction less than one will result in a smaller product than the initial fraction when multiplied by a number.
Imagine that you only ate half of the pizza you ordered.
You would get a smaller value if you multiplied 1/2 by 1/2. It would come out to 1/4.
On the other hand, the outcome would be more than the starting value if you multiplied a number by a mixed number that is greater than one.
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A recycling bin is in the shape of a right rectangular prism. The bin is 12 meters long, 512 meters wide, and 612 meters tall.
What is the volume of the recycling bin?
3534 m³
360 m³
429 m³
51834 m³
Right rectangular prism is nothing but cuboid.
If l is the length of a rectangular prism, w, its width and h, its height, then the volume of the rectangular prism is V = lwh.
It is given that the length of the recycling bin is 12 meters, its width is 512 meters and height is 612 meters.
Therefore, volume = lwh
= 12 × 512 × 612 cubic meters
= 3760128 cubic meters.
Hence, volume of the recycling bin is 3760128 [tex]m^{3}[/tex].
12 x 5 1/2 x 6 1/2 = 429 cm³
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what is 3yr 4mo-1yr 11mo
i need help please someone
The center on a target has a diameter of 5 inches. The whole target has a diameter of 25 inches. The center of the target takes up ____% of the whole target
find the area of a triangle with 4 yd and 8 yd
Express the series in summation notation. 2 + 4 + 6 + 8 + 10 + 12
The summation notation of the series 2 + 4 + 6 + 8 + 10 + 12 is [tex]\sum\limits^6_{n=1} {2n}[/tex]
How to rewrite the series using summation notation?The series is given as:
2 + 4 + 6 + 8 + 10 + 12
The above series is an arithmetic series with the following parameters:
First term, a = 2Common difference, d = 2Number of terms = 6So, the nth term of the series is:
Tn = a + (n - 1)d
This gives
Tn = 2 + (n - 1) * 2
Expand
Tn = 2n
The summation notation is then represented as:
[tex]\sum\limits^6_{n=1} {2n}[/tex]
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Melanie wants to put ribbon around the circumference of a circular section of the city park. Ribbon comes in rolls of 40 feet. The radius of the section of the park is 100 feet. How meany rolls of ribbon should Melanie buy?
Answer:
21/2
Step-by-step explanation:
one-half of a number increased by 16 is 4 less than two-thirds of the number what is the number.
A rectangular piece of poster board measurea 60 centimeters by 80 centimeters. Linn draws the net of a box on the poster board and cuts it out. If the box measures 10 centimeters by 16 centimeters by 27 centimeters, what is the area of the poster board left....
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thank you