The area of a circle with a radius of 5 cm is 50.272 [tex]cm^2[/tex] bigger than a circle with a radius of 3 cm.
Given the following data:
Radius A = 5 cm.Radius B = 3 cm.How to calculate the area of a circle.Mathematically, the area of a circle is given by the formula:
[tex]Area = \pi r^2[/tex]
Where:
r is the radius of a circle.For circle A:
[tex]Area = 3.142 \times 5^2\\\\Area = 3.142 \times 25[/tex]
Area = 78.55 [tex]cm^2[/tex].
For circle A:
[tex]Area = 3.142 \times 3^2\\\\Area = 3.142 \times 9[/tex]
Area = 28.278 [tex]cm^2[/tex].
Now, we can calculate the difference:
Difference = [tex]78.55-28.278[/tex]
Difference = 50.272 [tex]cm^2[/tex].
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Find the 45th term of the below arithmetic sequence.
-9, -2, 5, 12, ...
Answer:
Check the attachment.
Hope it helps ⚜
Half of a rectangle has an area of 45 cm?
What is the area of a triangle that has the
same base and heights of this rectangle?
Answer:
45 sq cm
Step-by-step explanation:
A triangle has an area of half of a rectangle if it has the same base and height.
someone smart help please and get the answer right offering 100 points
[tex]\tt \dfrac{2.7}{2.5}=\dfrac{6.2}{AC}\\\\AC=5.740[/tex]
Roberto makes dumplings. today it takes him 54 minutes to make 18 dumplings. he plans to make dumplings for 66 minutes tomorrow and to work at the same rate. how many dumplings will Roberto make tomorrow
Answer:
22
Step-by-step explanation:
one dumpling in 3 minutes
Someone help me please
Step-by-step explanation:
the ratio of 1/18 simply means that 1 inch in the drawing represents 18 inches in reality.
so, the real flag is therefore
2×18 = 36 inches long and 1×18 = 18 inches wide (or high).
the area of the actual flag is therefore
36 × 18 = 648 in²
Are you clever enough to earn 100 points?
What would be the answer on the graph?
Answer:
(8, 9) and (12, 3)
Step-by-step explanation:
The ends of the line would be (8, 9) and (12, 3)
Because the scale factor is negative, the guide lines go through the centre of enlargement rather than from it.
Name the plane on here
Answer:
The answer is A.
80 points for this! please help
Answer:
it is 800.00
Step-by-step explanation:
i did this a while ago
6
—-
math
pls help geniuses!!
——
Answer:
- B
x = 9
y = 3
What is the value of 3x – 4y + z when x = 8, y = 2 and z = -6?
Answer:
[tex]3(8) - 4(2) + ( - 6) \\ \\ 24 - 8 - 6 \\ \\ 16 - 6 \\ \\ 10[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \sf \: 3x - 4y + z [/tex]
[tex] \: \: \: \: \sf \: 3( 8 ) - 4 ( 2 ) + ( -6 )[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \sf \: 24 - 8 - 6[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: 16 - 6[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: \: \: \: \: \: \: \: \: \underline{ 10}[/tex]
Hope It's Helps~The laptop screen turns off when the angle between the keyboard and the screen is less than 20°. How many more degrees can the laptop screen close before the screen turns off?
The laptop screen can close ?° more before the screen turns off
Answer:
40⁰
Step-by-step explanation:
z+40+z-20=180
2z+20=180
2z=160
z=80
z-20=80-20=60
the laptop screen of in 60-20=40⁰
The laptop screen turns off at 40°.
What is a linear pair?Two neighboring angles that add up to 180 degrees are referred to as a linear pair, as are two angles that, when added together, create a line or a straight angle.
Given, the angles (z + 40)° and (z - 20)°.
The angles (z + 40)° and (z - 20)° form a linear pair, and the sum of the linear pair is 180°, therefore,
(z + 40)° + (z - 20)° = 180°
2z + 20 = 180
2z = 160
z = 80
The value of (z- 20)° is:
(z- 20)°
= (80-20)°
= 60°
The laptop screen turns off at
60° - 20°
= 40 °
Hence, the laptop screen turns off at 40°.
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what is -3/4(2/3 in simplest form
Answer:
-1/2 or the decimal form -0.5
What are these in scientific notations?
Answer:
.071 times 101
Step-by-step explanation: The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.
Find two consecutive numbers whose sum is 201.
smaller number =
larger number =
Answer:
100 and 101
Step-by-step explanation:
Hi there!
Let x be equal to the smaller number.
Let x + 1 be equal to the larger number, which is consecutive to the smaller number.
We are given that the sum of the two numbers is 201:
[tex]x+(x+1)=201\\x+x+1=201\\2x+1=201\\2x=200\\x=100[/tex]
Therefore, the smaller number is 100. Because the larger number is x + 1, it is 101.
I hope this helps!
how do I solve this?
Value of [tex]x[/tex]is [tex] - 12[/tex].
Final Answer is [tex]480[/tex]
Step-by-step explanation:
Assume that:
First number = x
Second number = 20 - x
Putting the given conditions,
[tex]2x^{2} + 3(20 - x)^{2} [/tex]
Putting the formula (a-b)²=(a²+2ab+b²) in (20-x)²,
[tex]2 {x}^{2} + 3(20^{2} - 2 \times 20 \times x + {x}^{2})[/tex]
[tex] = > 2 {x}^{2} + 3(400 - 40x + x^{2})[/tex]
Opening the brackets,
[tex]2 {x}^{2} + 3 \times 400 - 3 \times 40x + 3 \times {x}^{2} [/tex]
[tex] = > 2 {x}^{2} - 1200 - 120x + 3{x}^{2}[/tex]
[tex] = > (2x^{2} + 3 {x}^{2}) - 120x + 1200[/tex]
[tex] = > 5 {x}^{2} - 120x + 1200[/tex]
[tex]As \: x= - \frac{b}{2a}[/tex]
[tex] = > - \frac{120}{2 \times 5}[/tex]
[tex] = > - \frac{120}{10} [/tex]
[tex] = > - 12[/tex]
Now substituting the value of x in 5x²-120x+1200,
[tex] = > (5 \times {12}^{2} )-(120 \times 12)+1200[/tex]
[tex] = > (5 \times 144)-(1440)+1200[/tex]
[tex] = > 720 - 1440 + 1200[/tex]
[tex] = > 720 - (1440 - 1200)[/tex]
[tex] = > 720 - 240[/tex]
[tex] = > 480[/tex]
Please help its easy just i'm dvmb, just need this for my homework real soon!.. DON'T MIND THOSE ANSWERS SELECTED!!!!
Number 1
_______________
DefinitionsVertical angles - either of two angles lying on opposite sides of two intersecting lines.Linear Pair - A linear pair is a pair of adjacent angles formed when two lines intersect.
_______________
Now we can solve Number 1, there is one pair of Vertical angles being ∠5 and ∠3
_______________
Number 2
Since we know the definition of a Linear Pair we can solve this problem also, the only Linear Pair that we can choose out the ones give to us is ∠4 and ∠3, because they are adjacent.
_______________
[tex]{\huge{\boxed{\mathfrak{Answer}}}[/tex]
∠5 and ∠32. ∠4 and ∠3
.the question is in the picture will mark brainiest
Answer:
See below
Step-by-step explanation:
5^3 * 5^6 = 5^(3+6) = 5^9 <-- Add exponents when multiplying
8^7 / 8^2 = 8^(7-2) = 8^5 <-- Subtract exponents when dividing
9^7 / 9^11 = 9^(7-11) = 9^(-4) <-- Subtract exponents when dividing
(4^5)^3 = 4^(5*3) = 4^15 <-- Multiply exponents when raising a base with an exponent to an exponent
A bag contains 7 green marbles, 2 white marbles, 5 orange marbles, 9 green marbles, and 7 red marbles. A marble will be drawn from the bag and replaced 180 times. What is a reasonable prediction for the number of times a white or red marble will be drawn?.
Prediction for some count is usually expressible as expectation of some random variable. The reasonable prediction for the number of times a white or red marble will be drawn is 54
What does the expectation of a random variable tells about?A random variable is usually taking some numerical information of each elementary event of the sample space . (map from sample space to real numbers). Its expected value is the best prediction value in most of the cases.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consists of n independent Bernoulli trials.
Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining binomial distribution with parameters n and p, then it is written as
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there'd be x successes is given by
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
For the given case, as the ball being drawn is being replaced too, so we can take all 180 experiments to be independent from each other.
If we call
Success = Event of drawing white or red marble
Failure = Event of drawing any other marble instead of white or red
Then, each marble drawing event is having two outcomes: success or failure. This makes each drawing a Bernoulli experiment.
Modelling this situation with binomial distribution would be good.
Let X = number of successes in those 180 experiments.
P(Success) = 9/30 = 0.3 = p(say) (total 9 marbles in favor, so 9 ways of drawing single marble, and total 30 marbles are there, and thus 30 ways of drawing single marble out of them)P(Failure) = P(Not success) = 1-p = 0.7 = q (say)Thus, we get
[tex]X \sim B(n = 180, p= 0.3)[/tex]
The expectation of random variable X is the best prediction of count of times we will get in those 180 trials.
The expectation of a random variable is: [tex]E(X) = np[/tex]
Thus, we get:
[tex]E(X) = 180 \times 0.3 = 54[/tex]
Thus, the reasonable prediction for the number of times a white or red marble will be drawn is 54
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A person bought some Australian dollar of NRs 1,50,000 according to the exchange rate. Australian dollar 1 = NRs 77.02. After five days, in compare to Australian dollar the Nepali currency is devaluated by 5%. What is the profit or loss of that person when he exchanged the dollors he had into Nepali rupees again in that day? Find it.
Answer:
5.26% profit (NRs 7,894.24)
Step-by-step explanation:
The exchange of 1,50,000 NRs to A$ will give ...
A$ 1/(NRs 77.02) = x /1,50,000
x = A$ 1,50,000/77.02 = A$ 1947.54 . . . . . (rounded down)
If the Nepali rupees are devalued by 5%, then what did buy A$ 1 will now buy only A$ 0.95. Then the exchange back to NRs will give ...
(NRs 77.02)/(A$ 0.95) = x/(A$ 1947.54)
x = NRs (1947.54)(77.02/0.95) = NRs 1,57,894.24
The effective profit is the difference from the amount initially exchanged, NRs 7,894.24, or ...
(1,57,984.24/1,50,000 -1) × 100% ≈ 5.26%
__
Additional comment
Except for the loss in the exchange due to rounding down, the profit would be 1/0.95 -1 = 5.2632%. Instead, it is 5.2628%. This is why investors move their money to investments that retain their value when the local currency is losing its value.
What is the measure of∠ABC?
Answer:
95
Step-by-step explanation:
the interior angles of a square add upto 360
and from the arrows we know that the parallel sides are equal
so there will be two angles which are 85
so:
360-85-85 = 190
190/2 = 95
Given the functions f(n) = 25 and g(n) = 3(n − 1), combine them to create an arithmetic sequence, an, and solve for the 12th term. An = 25 − 3(n − 1); a12 = −11 an = 25 − 3(n − 1); a12 = −8 an = 25 3(n − 1); a12 = 58 an = 25 3(n − 1); a12 = 61.
Arithmetic sequence is done by adding or subtracting the difference. The 12th term of the arithmetic sequence will be 58.
What is the arithmetic sequence?The arithmetic sequence is the series of numbers where every two consecutive terms have the same difference between them.
We know that the nth term of an arithmetic sequence is given as,
[tex]a_n = a_1 + (n-1)d[/tex]
Also, we are given two functions adding the two functions we get,
[tex]f(x) + g(x)\\\\ = 25 + 3(n-1)[/tex]
comparing the sum we get with the arithmetic sequence formula for nth term, we will understand that,
[tex]a_1 + d(n-1)\\25+3(n-1)[/tex]
therefore,
a₁ = 25
and d = 3
that means the first term of the sequence is 25 while the difference between the two terms is 3.
Now, substituting the values in the formula we will get that the 12th terms of the sequence can be written as,
[tex]a_n = a_1 + (n-1)d\\\\a_{12} = 25 + (12-1)3\\\\a_{12} = 25 + 33\\\\a_{12} = 58[/tex]
Hence, the 12th term of the arithmetic sequence will be 58.
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A square calendar has sides that are 9 inches long. What is the area?
Answer:
81 because area=lxh so 9x9 is 81
[tex]i \: hope \: it \: will \: hellp \: you \: [/tex]
A researcher has reported the standard deviation of a data set. What might be the reason they chose this measure of variability? a. When plotted, the data set had a normal distribution b. When plotted, the data set had one number that was more frequent than the others c. When plotted, the data set was skewed d. When plotted, the data had a large distribution
Standard deviations are used to measure the variability of the set
The reason they choose the standard deviation as the measure of variability is (a) when plotted, the data set had a normal distribution
How to determine the reason for the measure of variabilityWhen a data is distributed, the data can be measured using the median, the mean or the standard deviation.
If the data is a normal distribution, then the best measure of variability to use is the standard deviation
Hence, the true statement is (a) when plotted, the data set had a normal distribution
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What is the Lowest Common Multiple of 42 and 90
Answer:
630
Step-by-step explanation:
Answer:
630
Step-by-step explanation:
90/6=15
42/6=7
Those are the lowest you can go in those numbers and when you do 90*42
it is 3780. Divide that by 6 and it is 630.
Megan found a new knitting pattern she's been wanting to try. It makes a rainbow-striped 60-inch scarf. Last month, it took her 14 hours to knit her little sister a 30-inch scarf. If Megan plans to knit 1 hour every day, how many weeks will it take her to finish the rainbow-striped scarf?
Answer:
if it took her 14 hours to make a 30-inch scarf, we can assume it will take her to double that time to make a 60-inch scarf. 28 hours is double of 14, if she only knits one hour every day it will take her 4 weeks, 28 days is equal to exactly 4 weeks 28/7=4 weeks
Answer:
4 weeks
Step-by-step explanation:
14 hours for a 30-inch
multiply them both by 2
28 hours for 60-inch
28 divided by 7 = 4
Have a blessed and great day<3
8. Sergei is buying tomatoes and finds that two different kinds are weighed in grams and
ounces. Tomato A is 6 ounces and Tomato B is 173 grams. Which tomato weighs the
most? (1 oz =
28.3 g)
Answer:
tomato B weighs more than tomato A
Step-by-step explanation:
Tomato A: 6oz = 169.8g
Tomato B: 6.10oz = 173g
kings hotel had 160 rooms and 35% of the rooms did not have ocean view. Write an equation to find the total number of rooms that had an ocean view
Answer:
ok so we now now many do have 0.35 so now lets just find out how many do
1-0.35=0.65
65% do have a ocean room so lets just multiply
0.65*160=104
104 do have a ocean facing room
Hope This Helps!!!
iready about presents plz help 7 grade lvl
Answer:
Answer:
118
Step-by-step explanation:
150+16%=174
174 - 32% = 118.32
118.32=118(to nearest whole number)
Please answer this (who ever answers correctly gets brainlest)
Answer:
1. correct (conversion = x1000)
2. correct (conversion = [divided by] 1000)
3. wrong (conversion should be x100)
4. wrong (conversion should be x1000)
5. correct (conversion = x10)
Answer:
option 1, 2 and 5 are correct
Step-by-step explanation:
1 Km = 1000 m
1) 1.25 km = 1.25 * 1000 = 1250 m
2) 0.345 km = 0.345 *1000 = 345 m
5) 1.7m cm = 1.7 * 10 = 17 mm
I need help with math here is the pic of the ?
Answer:
40
Step-by-step explanation:
140/100 = 56/x
=> x = (100x56)/140 = 40
Answer:
40
Step-by-step explanation:
140% x __ = 56
140/100 x __ = 56
x = 56 x 140/100
x = 40