Answer:
282.6m
Step-by-step explanation:
Circumference=2πr
r = d/2
r = 90/2
r = 45m
C = 2*3.14*45
C = 282.6
Hii Student! Let me help you out.
\(\leadsto\parallel\odot\boldsymbol{Answer.}\odot\parallel\leadsto\)
_________________________________________________________
Circle's Circumference ===> 282.6 m
_________________________________________________________
\(\leadsto\parallel\odot\boldsymbol{Explanation.}\odot\parallel\gets\)
This is the required formula for circumference. \(\ddots\)\(\dots\)\(\vdots\)\(\hdots\)\(\vdots\)
\(\sf C=\pi d}\). In which: \(\pi\)=pi, 3.14, and d=diameter, 90.
Stick in the known values.
\(\sf C=3.14\cdot90}\)
Simplify!
\(\sf C=282.6\:m}\)
Hope that this helped! Best Wishes.
\(\textsl{Reach far. Aim high. Dream big.}\)
\(\boldsymbol{-Greetings!-}\)
__________
‼️PLEASE ANSWER NO LINK‼️
One US dollar equals
0.84 euros. Margo is
traveling and wants to
exchange $400 for
euros. How many
euros will she receive
in exchange?
Answer:
336
Step-by-step explanation:
0.84=$1
multiply by 400 to find answer
0.84(400)=$400
336=$400
Answer:
336 euros
Step-by-step explanation:
If
1$=0.84
400=x (cross multiply)
X=400x0.84
X=336
A girl has 98 beads, and all but 14 were lost. how many beads did she loose?
Answer:
84 beads
Step-by-step explanation:
She had 98 beads and lost all but fourteen. So it would be 98 - 14 which would get you 84 beads that the girl has lost
Select all ratios that are equivalent to 1/24/82/635/6050/10020/409/18
The ratios that are equivalent to 1/2 are the ones which have the same decimal value when the fraction is solved:
\(\frac{1}{2}=0.5\)We can also see them as having a numerator that is half the denominator.
This is the case for 4/8, 50/100, 20/40 and 9/18.
All these ratios have a value of 0.5, so they are equivalent to 1/2.
Answer: 4/8, 50/100, 20/40 and 9/18.
Planes T and X are parallel. Plane T contains line a. Plane X contains line b.
Planes T and X are parallel. Plane T contains line a and plane X contains line b.
Which best explains the relationship between lines a and b?
ANSWER TODAY PLEASE!!
A restaurant bought 26 pounds of fish for $405.34. What was the price per pound of the fish? Show your work.
Answer:
$15.59
Step-by-step explanation:
$405.34/26 = $15.59
Select the correct answer. The product of two numbers is 21. If the first number is -3, which equation represents this situation and what is the second number? A. The equation that represents this situation is x − 3 = 21. The second number is 24. B. The equation that represents this situation is 3x = 21. The second number is 7. C. The equation that represents this situation is -3x = 21. The second number is -7. D. The equation that represents this situation is -3 + x = 21. The second number is 18.
Answer:
The product of two numbers is 21.
Step-by-step explanation:
If the first number is -3, which equation represents this situation and what is the second number? A. The equation that represents this situation is x − 3 = 21.
Complete the chart. fraction decimals and percents. 40%=what in fraction form?
the difference between 4/9 of a number and 7 is 5
first what quantities do we need to talk about?
the problem speaks of “a number”, let’s call that number x.
now write the equation that relates x to the other numbers we know.
the first clue is the word “difference”.
this means “subtraction”, but we need to subtract something from something else.
what are the two somethings? ”a number times 7” and “4”.
so, since we have a name for “a number”, let’s translate this as x*7 - 4 what else do we know?
it says the difference is 9. So complete the equation x*7 - 4 = 9 if we rewrite this cosmetically, 7x - 4 = 9
i assume that you know how to solve this for x.
so then wehn solving 7x - 4 =9 we take -4 change it to +4 so then +9 we go and get 13
7x = 13
7/7 = 13/7
x= 13/7
Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 5.9-in and a standard deviation of 1.1-in.In what range would you expect to find the middle 98% of most head breadths?
Answer:
You should expect to find the middle 98% of most head breadths between 3.34 in and 8.46 in.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
\(\mu = 5.9, \sigma = 1.1\)
In what range would you expect to find the middle 98% of most head breadths?
From the: 50 - (98/2) = 1st percentile.
To the: 50 + (98/2) = 99th percentile.
1st percentile:
X when Z has a pvalue of 0.01. So X when Z = -2.327.
\(Z = \frac{X - \mu}{\sigma}\)
\(-2.327 = \frac{X - 5.9}{1.1}\)
\(X - 5.9 = -2.327*1.1\)
\(X = 3.34\)
99th percentile:
X when Z has a pvalue of 0.99. So X when Z = 2.327.
\(Z = \frac{X - \mu}{\sigma}\)
\(2.327 = \frac{X - 5.9}{1.1}\)
\(X - 5.9 = 2.327*1.1\)
\(X = 8.46\)
You should expect to find the middle 98% of most head breadths between 3.34 in and 8.46 in.
What is the slope of a line that passes through the points open parentheses 5 comma 3 close parentheses and open parentheses 7 comma short dash 4 close parentheses?
Answer:
\(slope \: = - \frac{ 7}{2} \)
Step-by-step explanation:
To find the slope of the line that passes through the points
\( \: {x}^{1} \: \: {y}^{1} \: \: \: \: \: \: \: \: \: \: \: \: \: \: {x}^{2} \: \: \: \: {y}^{2} \\ (5, \: \: 3) \: \: \: and \: \: (7, \: - 4)\)
We have to follow the formula:
\( \frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } \\ \\ \frac{ - 4 - 3}{7 - 5} \\ \\ slope = - \frac{ 7}{2} \)
Mrs. Smith's class is working on a variety of science experiments. Each
student must complete one experiment with each of the other students in
the class. There are 12 students in the class. How many different groups
will be made by the end of the experiments ? Each pair of students can
only be together once.
Answer:
66
Step-by-step explanation:
If there are n students, then the number of pairs is \(\frac{n(n-1)}{2}\).
With 12 students, \(\frac{12(12-1)}{2} = \frac{132}{2}=66\) pairs can be formed.
The reason the formula works is this: Each of the 12 students can be paired with 11 other students (no student is paired with him/her self). But counting 12 x 11 = 132 counts each pair twice. Example: student A can be paired with student B,..., student B can be paired with student A. The pair was counted two times.
See the attached image that shows pairings of 5 students. There are
5(5 - 1)/2 = 5(4)/2 = 10 pairs.
Which expression is equal to the polynomial below 2x^4+5x^3-8x-20
The expression that is equal to the given Polynomial expression is (x^3-4)(2x+5).
The polynomial expression given is 2x^4+5x^3-8x-20. We have to identify the expression that is equal to this given polynomial expression.
We will factor the given polynomial expression to determine the equivalent expression. We can use factorization by grouping to factor the expression completely and determine the equivalent expression .
Factorization by grouping:
We can group the first two terms 2x^4 and 5x^3 together and factor out x^3 from them. We can also group the last two terms -8x and -20 together and factor out -4 from them.
This gives us;2x^4+5x^3-8x-20= x^3(2x+5)-4(2x+5) =(x^3-4)(2x+5)
Therefore, the expression that is equal to the given polynomial expression is (x^3-4)(2x+5).
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HELP AS SOON AS POSSIBLE
The coordinates of polygon A'B'C'D' after the rotation of 180º are given as follows:
A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).
What are the rotation rules?The five more known rotation rules are given as follows:
90° clockwise rotation: (x,y) -> (y,-x).90° counterclockwise rotation: (x,y) -> (-y,x).180° clockwise and counterclockwise rotation: (x, y) -> (-x,-y).270° clockwise rotation: (x,y) -> (-y,x).270° counterclockwise rotation: (x,y) -> (y,-x).The original coordinates for this problem are given as follows:
A(0,0), B(5,2), C(5,-5), D(0,-3).
Exchanging the sign of each of the coordinates, the coordinates after the rotation are given as follows:
A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).
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Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help
The surface area of a cone with radius r units and slant height s units is shown below:
Surface area = 3.14(rs + r2)
Part A: If r = 2 units and s = 3 units, write an expression that can be used to calculate the surface area of the cone. (4 points)
Answer:
Expression for surface area is 3.14(6 * 4 + 6^2) = 3.14(24 + 36)
surface area is 3.14(60) = 188.4 square units.
Step-by-step explanation:
hope this works
Can credit a customers account up to 20% of full amount due. Customers bill is 333.00, I could offer a credit of?
I could offer a credit of $66.6.
What is percentage?A percentage is a number or ratio expressed as a fractin of 100. It is often denoted using a percent "%" sign.
The given bill of customer = $333.0.
Credit can be given to customer = 20%
Now,I can credit a customers account up to 20% of full amount due
For credit off to be offer,we need to find 20% of $333
⇒ 20% of $333 = 20/100*333
⇒ 20% of $333 = $66.6
Hence, I could offer a credit of $66.6
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Please solve and show your equation below, happy teachings!
The expected value for the given data set is 1.4.
What is expected value?
The value that will most likely be obtained from the following iteration of a statistical experiment is known as the expected value. In order to calculate the expected value for a random trial of an experiment, the probability of each possible result is taken into account.
From the given table we have to find the expected value.
Since,
Expected value = E(X) = μ = ∑ x*P(x)
E(X) = (0*0.4) + (1*0.05) + (2*0.3) + (3*0.25)
E(X) = 0 + 0.05 + 0.6 + 0.75
E(X) = 1.4
Hence, the expected value for the given data set is 1.4.
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12j=21 so what number is j
Answer: 1.75
Step-by-step explanation:
Divide 21 by 12 to get your answer, which is 1.75 :)
Answer:
j = 7/4
Step-by-step explanation:
There is no explanation.
find the internal representation of 531, if the computer uses a 32 bit memory location to store each number
The internal representation of 531 using a 32 bit memory location to store each number is; 00000000000000000000001100100001
Representation of numbers in the computerWhen representing numbers, they are divided by 2 as follows;
531/2 = 265 remainder 1265/2 = 132 remainder 1132/2 = 66 remaining 066/2 = 33 remainder 033/2 = 16 remainder 116/2 = 8 remainder 08/2 = 4 remainder 04/2 = 2 remainder 02/2 = 1 remainder 01/2 = 0 remainder 1Hence, the representation of 531 in a computer using a 32 bit memory is;
00000000000000000000001100100001.Read more on number representation in a computer;
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Write a fraction the equivalent of 3/10 that has a denominator of 100
I need help!!!!!!!!!
Answer:
its b4 + 7b3 + 4b2 + b5 + 7b4+ 4b3= b5+8b4+11b3+4b2
Answer:
When multiplying, add the exponents, (example) remember if there is "7b" the exponent is one.
Multiply b^2 * b^3 = b^5 (add the exponent 2 + 3 = 5)
Multiply 7b * b^3 = 7b^4 (the exponent of 7b is one, add 1 + 3 for the exponent to become 4)
Multiply 4 * b^3 = 4b^3 (4 doesn't have a variable, the exponent will be 3)
b^2 * b*2 = b^4 (add exponents)
7b * b^2 = 7b^3 (add the exponents 1 + 2)
4 * b^2 = 4b^2
b^2 + 7b + 4
b^3 b^5 + 7b^4 + 4b^3
+
b^2 b^4 + 7b^3 + 4b^2
b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2
\(b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2\)
b^5 + 8b^4 + 11b^3 + 4b^2help me please I need helped Answering this questions
Answer: 129 m^2
Step-by-step explanation
Answer: 129 m^2
Step-by-step explanation:
it is urgent.so anyone solve this
Answer:
Step-by-step explanation:
Answer:
1i.) x = 18
1ii.) x = 40
2.) x = 155
3i.) ABD = 115° (actually this is wrong, idk how to calculate this ;-;
3ii.) BEF = 135°
Step-by-step explanation:
*All triangles add up to 180° in total of all angles added together*
i.) Find x
4x + 3x + 3x = 180°
10x = 180°
10x/10 = 180/10
x = 18
----------------------------------------
ii.) Find x
180 - 115 = 65
65° + 75° + x° = 180°
140° + x° = 180°
x° = 180° - 140°
x = 40°
----------------------------------------
2.) Find x
180 - 145 = 35
45° + 35° + n° = 180°
80° + n° = 180°
n° = 180° - 80°
n° = 100°
*Vertical Angles of n and m (variables I randomly made so I can solve this), so they are both the same*
100 + 55 + m = 180
155 + m = 180
m = 180 - 155
m = 25
25 + x = 180
x = 180 - 25
x = 155
----------------------------------------
3.) Find Angles
i.) ABD
180° - 65° = 115°
Angle ABD = 115°
ii.) BEF
180° - 110° = 70°
70° + 65° + x° = 180
135° + x° = 180°
x° = 180° - 135°
x = 45°
180° - 45° = 135°
Angle BEF = 135°
A bank charges 12% simple interest p.a on cash loans to its clients. Titos has asked for a R10 000 loan amount and has promised to repay the loan over 4 years.. 1.4.Calculate the interest which Titos should pay for the loan? 1.1.5. Calculate the total amount tito must pay back after 4 years. 1.1.6. Give one reason why people loan money from banks?
Answer:
1.4. The interest Tito should pay would be R10000 * 12% = R1200 for his first year.
1.1.5. The total amount Tito must pay back after 4 years would be R10000 * (1 + 12%)^4 = R10000 * 1.57351936 = R15735.2 (cor. to 1 d. p.).
1.1.6. People loan money from banks due to financial troubles or to attain startup resources for a company or business venture.
Step-by-step explanation:
Hope this helped!
Answer:
4800
Explanation:
interest=principle × rate × time/100
interest=10000 ×12 × 4/100
interest= 480000/100
interest=4800
amount=interest+principle
amount=4800+10000
amount=14800
people loan money from banks because they need money at a particular point in time where they do not have it
thirty is equal to twice a number decreased by four
Answer:
4-(2n)= 30
Step-by-step explanation:
N is 17
Paxton invests $4850 at 7.6%/a simple interest. If she wants the money to increase to $8000, how long will she need to invest her money?
Therefore, Paxton will need to invest her money for approximately 21.62 years to increase her investment from $4850 to $8000 at a simple interest rate of 7.6% per year.
To determine how long Paxton needs to invest her money in order for it to increase to $8000, we can use the formula for simple interest:
I = P * r * t
Where:
I = Interest earned
P = Principal (initial investment)
r = Interest rate per year (expressed as a decimal)
t = Time (in years)
Given that Paxton invests $4850 at an interest rate of 7.6% per year, we have:
4850 * 0.076 * t = 8000
Simplifying the equation:
369.8t = 8000
To find t, we divide both sides of the equation by 369.8:
t ≈ 8000 / 369.8 ≈ 21.62 years
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You roll two fair dice, a green one and a red one. (a) What is the probability of getting a sum of 6? (Enter your answer as a fraction.) (b) What is the probability of getting a sum of 10? (Enter your answer as a fraction.) (c) What is the probability of getting a sum of 6 or 10? (Enter your answer as a fraction.) Are these outcomes mutually exclusive? Yes No
Answer:
5/36 ; 1/12 ; 2/9 ; yes
Step-by-step explanation:
Given the following :
Roll of two fair dice : green and red
Probability = (number of required outcomes / number of total possible outcomes)
(a) What is the probability of getting a sum of 6?
Number of required outcomes = 5
P(sum of 6) = 5/36
b.) What is the probability of getting a sum of 10?
Number of required outcomes = 3
P(sum of 10) = 3 / 36 = 1/12
c.) What is the probability of getting a sum of 6 or 10?
P(getting a sum of 6) + P(getting a sum of 10)
(5/36) + (1/12) = (5 + 3) / 36
= 8/36 = 2/9
The events are mutually exclusive because each event cannot occur at the same time.
why is the sky blue? why is the water blue?
The sky appears blue because of Rayleigh scattering while water appears blue due to selective absorption and scattering of light.
Why does the sky appear blue and the water blue?The blue color of the sky is a result of Rayleigh scattering which occurs when the Earth's atmosphere scatters shorter wavelengths of light (blue and violet) more efficiently than longer wavelengths (red and orange).
When sunlight enters the atmosphere, the blue light is scattered in all directions by the molecules and tiny particles present in the air creating the blue appearance of the sky.
Similarly, water appear blue due to selective absorption and scattering of light. Water molecules selectively absorb colors from the visible light spectrum and absorb longer wavelengths (such as red) more effectively than shorter wavelengths (such as blue).
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A sign says that the price marked on all music equipment is 30% off the original price. You buy an electric guitar for
the sale price of $315 how much money did you save off the original price of the guitar
Answer:
You saved $135 off of the original price of the guitar
Step-by-step explanation:
The original price of the guitar is $450. If we subtract 30% of the original price, we will essentially be solving 450 - 135 which gives us $315. Since we know that 30% was the amount taken off, 30% of the original price is how much you saved. So, you saved $135 off of the original price of the guitar.
(sorry if this is confusing, I'm not very good with words)
Which of the following algebraic steps will solve the equation 3x/4=7/3 what is the solution
9x=28. x=28÷9
PLEASE HELP FAST !!!!!!!!
Identify the equation that represents a quadratic relationship
Answer:
Step-by-step explanation:
Quadratic means squared equation so
the first one is your answer.
y= 4x²