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Related Questions
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)
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This is because each circumference is equal to 2[tex] \pi [/tex]r. So the distance the minute hand would travel would be 40[tex] \pi [/tex]. Then the minute hand would have a circumference of 20[tex] \pi [/tex]. However, you would have to divide that by 12 since it only traveled 1/12th of the distance around.
When you subtract the hour hand's distance from minute hand's distance, you get the answer above.
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
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Imagine, if you had half a pizza and you ate one-half of that. You would multiply 1/2 by 1/2 and get an even smaller number. The result would be 1/4.
On the other hand, if you multiply a number by a mixed number that is larger than one, the result would be larger than when you started.
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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what is 4/5 * 2
[tex] \frac{4}5 \times 2 [/tex]
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---- x ---- = ---- = 1 3/5 or [tex]1 \frac{3}{5} [/tex] or 1.6
5 1 5
4/5+4/5= 1 so far. We now know that we have a whole number.
So then, we subtract 1 from the next fraction. So then, we would then do 1+3/5.
Remember that we took 0.1 from the other fraction.
Therefore, your correct answer would then be (1) 3/5
I hope this helps you!
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
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Area of a Square: Length x Width
A = 4.4 x 4.4
A = 19.36
Area of a Triangle: [tex] \frac{Base x Height}{2} [/tex]
A = 4.4 x 3.8 ÷ 2
A = 8.36
** We have 4 triangles, and 8.36 is the area for ONE triangle. We can multiply this by 4 to determine the area of all of the triangles together.
8.36 x 4 = 33.44
Now that we have our area for the base of the pyramid and the walls of the pyramid, we can add them together to determine the total area, and how much paper Serena will need.
19.36 + 33.44 = 52.8
So, Serena will need 52.8 [tex] in^{2} [/tex] of paper to cover the entire pyramid.
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
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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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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?
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There are multiple ways to do this but lets find the equation of the line that passes through those points using the first two points.
First let's find the slope of the line...
(1,4) and (3,8)
(y₂-y₁)/(x₂-x₁)
8-4/3-1
4/2
2
The slope is 2. Now we need to plug in 2 and a point to point-slope form. Choose the point (1,4)
y-y₁=m(x-x₁)
y-4=2(x-1)
Let's put this into slope intercept form...
y-4=2(x-1)
y-4=2x-2
y=2x+2
Now we can plug in (6,y) into the equation. Plug in 6 for x to find y...
y=2(6)+2
y=12+2
y=14
So we have (6,14) as our answer!
I really hope this helps!
Best wishes:)
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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i need help please someone
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Multiply the amount of fabric used by the number of dresses. 3/4 x 3= 9/4. Sammie uses 9/4 yards of fabric to make all 3 dresses.
I hope this helps!
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?
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Total cost = $45.90 + ($45.90 × 0.20)
Total cost = $45.90 + $9.18
Total cost = $55.08
Therefore, Leo should give $55.08 in total to leave a 20% tip.
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
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Friday plus Saturday : 40 + 30 = 70
70 ÷ 160 = 0.4375
43.75 %
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....
Plz help me....
thank you
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4(16*27)=4*432=1728 cm squared
add 320+1728= 2048 cm squared
Finally, to find the area of the left poster board you have to subtract the area of the rectangle which is 4800 cm squared by the area of the box which is 2048 cm squared so 4800-2048=2752 cm squared
find the area of a triangle with 4 yd and 8 yd
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The formula for finding the area of a triangle is:
a = [tex] \frac{1}{2} [/tex] lh
Where l is the length of the triangle and h is the height.
So the formula would be a = [tex] \frac{1}{2} [/tex] 4*8 which equals 16!
Well you have to add
+8 which makes 12 so add 12 and you get 24
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?
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103% = 9.27
To find the price before tax, we need to find 100% of the price.
103% = 9.27
1% = 0.09
100% = 0.09 x 100 = $9
The price before tax is $9.
I hope this helps :)
two squares with the same side lengths are always congruent
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How many square feet of outdoor carpet will need for this hole
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Express the series in summation notation. 2 + 4 + 6 + 8 + 10 + 12
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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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naomi needs to solve 28 ÷ 7 = ?what related multiplication fact can she use to find the unknown number?
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7•4 is 28 or
7+7+7+7 is also 28
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
Answers
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
Brainliest please!
PLEASE HELP(.-. )
....
SIMPLIFY THE ROOT√124 AND EXPLAIN YOUR REASONING PLEASEEEE!! °ω°
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I DONT KNOW!
THERES NO EXPLAINATION IN MATH.. LETS BE HONEST HERE.
√124
=√4 x 31
=√2 x 2 x 31
=√2 x 2 x √31
=2 x √31
=2√31
what is the probability that x^2+7x+k is factorable if 0 is less than or equal to k is less than or equal to 20 and k is an integer?
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To factor trinomials in the form x²+bx+c, we look for factors of c that sum to be. In our case, we want factors of k that sum to 7. Since we know k must be an integer, we will list the ways to sum to 7 with positive integers:
1+6
2+5
3+4
This is where the 3 comes in the probability.
Since 0≤k≤20, there are 21 different integers that k could equal. Therefore our probability is 3/21 = 1/7.
The probability that [tex]\(x^2 + 7x + k\)[/tex] is factorable for [tex]\(0 \leq k \leq 20\) and \(k\)[/tex] is an integer is [tex]\(\frac{7}{21}\)[/tex].
The discriminant of [tex]\(x^2 + 7x + k\)[/tex] is [tex]\(7^2 - 4(1)(k) = 49 - 4k\)[/tex].
For the quadratic to be factorable, [tex]\(49 - 4k\)[/tex] must be a perfect square. Let's denote [tex]\(49 - 4k\)[/tex] as [tex]\(m^2\)[/tex], where m is an integer. Then we have: [tex]\[49 - 4k = m^2\][/tex]
Rearranging the equation gives us:
[tex]\[4k = 49 - m^2\][/tex]
[tex]\[k = \frac{49 - m^2}{4}\][/tex]
Since k must be an integer, [tex]\(49 - m^2\)[/tex] must be divisible by 4. This means that [tex]\(m^2\)[/tex] must be of the form [tex]\(4n + 1\) or \(4n - 1\)[/tex] because 49 is 1 more than a multiple of 4 (since 48 is a multiple of 4).
We are looking for values of m such that [tex]\(m^2\)[/tex] is less than or equal to 49 (since [tex]\(k \geq 0\)),[/tex] and [tex]\(m^2\)[/tex] is of the form [tex](4n + 1\) or \(4n - 1\).[/tex] The values of m that satisfy this are [tex]\(m = \pm1, \pm3, \pm5, \pm7\)[/tex].
For each of these values of m, we can calculate the corresponding value of k:
For [tex]\(m = 1\): \(k = \frac{49 - 1^2}{4} = 12\)[/tex]
For [tex]\(m = 3\): \(k = \frac{49 - 3^2}{4} = 11\)[/tex]
For [tex]\(m = 5\): \(k = \frac{49 - 5^2}{4} = 6\)[/tex]
For [tex]\(m = 7\): \(k = \frac{49 - 7^2}{4} = -4\)[/tex] (not within the range [tex]\(0 \leq k \leq 20\)[/tex])
For negative values of m, we get the same values of k as for the positive values, so we don't need to consider them separately.
Thus, the values of k that make the quadratic factorable are 6, 11, and 12. There are 21 possible values for k in the range [tex]\(0\) to \(20\)[/tex] inclusive. Therefore, the probability that [tex]\(x^2 + 7x + k\)[/tex] is factorable is the number of favourable outcomes divided by the total number of possible outcomes: [tex]\[\frac{\text{Number of factorable } k}{\text{Total number of } k} = \frac{3}{21} = \frac{1}{7}\][/tex]
Upon re-evaluating the calculation, we realize that the value of k corresponding to m = 7 is not valid since it results in a negative number, which is outside our specified range for k. Therefore, we should not count it. The correct count of valid k values is 3 (for m = 1, 3, 5, and since each of these m values corresponds to two k values (one for m) and one for -m, we have 6 valid k values in total.
Given that there are 21 possible integer values for k in the range 0 to 20 inclusive, the correct probability is:
[tex]\[\frac{\text{Number of factorable } k}{\text{Total number of } k} = \frac{6}{21} = \frac{2}{7}\][/tex]
However, this contradicts the initial statement that the correct answer is [tex]\(\frac{7}{21}\)[/tex]. We must correct this to ensure the final answer is accurate.
The correct probability is obtained by considering that for each valid m (excluding [tex]\(m = 0\)),[/tex] there are two corresponding values of k (one for m and one for -m. Since we have valid m values of 1, 3, 5, and their negatives, we have a total of 6 valid k values. But since m = 7 and m = -7 are not valid (as they result in k = -4), we should not include them. Therefore, the correct number of valid k values is 6, and the correct probability is: [tex]\[\frac{\text{Number of factorable } k}{\text{Total number of } k} = \frac{6}{21}\][/tex]
This simplifies to: [tex]\[\frac{6}{21} = \frac{2}{7}\][/tex]
Thus, the correct probability is [tex]\(\frac{2}{7}\), not \(\frac{7}{21}\)[/tex]. The initial statement contained an inaccuracy, and the correct answer is [tex]\(\frac{2}{7}\)[/tex].
?? Graduation soon help me please, I’ve gotten lazy
Answers
Parallel lines are lines that never intersect
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?
Answers
[tex]t= \frac{24.2}{10} [/tex]
[tex]t=2.42[/tex]
So, we know that she has traveled for 2.42 hours.
We also know that after she has traveled for 2.42 hours another cyclist sets out in the same direction, so if [tex]t[/tex] represents the time of our first cyclist, the time of our second cyclist will be [tex]t-2.42[/tex].
Now we are going to use the equation [tex]distance=(speed)(time)[/tex] to relate the speeds and times of the two cyclist:
For the first one:
[tex]distance=10t[/tex] equation (1)
For the second one:
[tex]distance=30(t-2.42)[/tex] equation (2)
Replace (1) in (2)
[tex]10t=30(t-2.42)[/tex]
The only thing left now is solve for [tex]t[/tex]:
[tex]10t=30t-72.6[/tex]
[tex]-20t=-72.6[/tex]
[tex]t= \frac{-72.6}{-20} [/tex]
[tex]t=3.63[/tex]
We can conclude that the second cyclist will catch up the first cyclist after 3.63 hours.
V= 52 l= 6.5 h =2 find w
Answers
8=2w
w=4
Hope that helps. Please mark brainlest!
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?
Answers
Answer:
21/2
Step-by-step explanation:
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
Answers
To find the percentage, first find the area of both circles. The area formula is [tex] \pi r^{2} [/tex] . After finding the area of the center of the target (19.625) and the area of the large target (490.625), set up a percent proportion to determine the percentage that the center takes up:
[tex] \frac{is}{of} = \frac{percent}{100} [/tex]
[tex] \frac{19.625}{490.625} = \frac{percent}{100} [/tex]
Cross multiplying and dividing by 490.625 will give a total of 4%.
What is the distance between the points (3, 12) and (14, 2)?
Answers
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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one-half of a number increased by 16 is 4 less than two-thirds of the number what is the number.
Answers
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.
Answers
Cylinder
V = [tex] \pi r^2[/tex]
Rectangle
V = L x W x H
In the first problem, we have a cylinder and we are looking for the height. We know the volume (240), and we know the radius (4). We can use these values to fill in our formula, and then solve for the missing height. (This process is shown in the image).
In the second problem, we have a cylinder and we are looking for the volume. We know the radius (4), and we know the height (12). We can use these values to fill in our formula, and then solve for the volume. (This process is shown in the image).
In the third problem, we have a rectangle and we are looking for the length. We know the height (10), we know the width (4), and we know the volume (200). We can use these values to fill in our formula, and then solve for the length. (This process is shown in the image).
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!
4a - 4( 15a - 2) - 8
Answers
The problem to solve: 4a - 4(15a - 2) - 8
The first thing to do is to apply the Distributive Property, which is: a(b + c) = ab + ac.
Here we have: -4(15a - 2). We must multiply -4 by 15a and -2. Let's do it.
4a - 4(15a - 2) - 8
4a - 60a + 8 - 8
Now we can go ahead and combine like terms; add the constants and add the a-terms. 4a minus 60a is equal to negative 56a. 8 minus 8 is zero, so the 8's cancel out, and we're left with:
-56a
That's your answer! I hope this helps you. (:
In order to simplify this expression (notice how it's an expression and not an equation because it's not set equal to something) we can use addition and subtraction, and the distributive property which is defined as:
a(b+c) = ab + ac
Using this property, we can simplify this expression to:
4a - 60a + 8 - 8
Notice how -4(-2) was positive 8.
Simplify "a" terms:
-56a + 8 - 8
Since it's +8 - 8, the 8's cancel out.
Therefore, we just have -56a.
Hope this helps!
In this box-and-whisker plot, what is the maximum value of the data?
53
56
60
68
Answers
answer is 68
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
Answers
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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