Answer:
44cm
Step-by-step explanation:
Since, diameter d=14cm
C=πd= 22/7 ×14= 44cm
A rectangle has a perimeter of 48 inches. If twice the length decreased by three is equal to three times the width, the find the length and the width
Answer:
Length= 15, width= 9Step-by-step explanation:
perimeter of a rectangle P= 2(L+W)
L= length
W= width
48=2(L+W)---------------(1)
twice the length= 2×L= 3L
decreased by three= 2L-3
three times the width= 3×W= 3W
twice the length decreased by three is equal to three times the width
2L-3= 3W-------------------(2)
solving equation one and two simultaneously
from equation (2)
3W= 2L-3
W=2L/3-3/3
W= 2L/3 - 1----------(3)
substitute equation (3) into equation (1)
48=2(L+2L/3-1)
48=2L+4L/3-2
48×3=6L+4L-6
144=10L-6
10L=144+6
10L=150
dividing bothsides by 10
L= 15
substitute L= 15 into equation (2)
2L-3=3W
2(15)-3=3W
30-3 = 3W
27= 3W
3W= 27
dividing bothsides sides 3
3W=27/3
W=9
therefore, Length= 15, width= 9If h = 3.5u, what is the value of h when u = 17?
Give any decimal answers to 1 d.p.
Put u=17
h=3.5(17)h=51+8.5h=59.5Answer:
59.5.
Step-by-step explanation:
h = 3.5u
When u = 17,
h = 3.5*17
= 59.5
Consider the cone with slant height of 13 m and perpendicular height of 12 m: a) Find the length of the radius, r. b) Find the length of the diameter of the cone's base.
Answer:
Step-by-step explanation:
Cube: Find the surface area of a cube with side 5 inches.
Answer:
We are given the dimension of the side being 5 inches and it states that we need to determine the surface area. The first step that we must do is find the area of one side and then we multiply it by 6 because we have 6 same sides.
[tex]A = s^2[/tex]
[tex]A = (5\ in)^2[/tex]
[tex]A = 25\ in^2[/tex]
Now that we have the area of one side we can multiply it by 6 to get the total surface area.
[tex]A = 25\ in^2 * 6[/tex]
[tex]A = 150\ in^2[/tex]
Therefore, our final answer is that the surface area is 150 inches squared
Hope this helps!
Answer:
150 square inches
Step-by-step explanation:
find the area of 1 square face
5*5=25
multiply by 6 faces
25*6=150
Instructions
For this activity, you will need two different coins. First, you will determine the theoretical probability of events. Then, you will flip the coins 100 times and determine the experimental probability of the events.
Flip two different coins 100 times, and record the results of each coin toss in a table like the one below:
Result
Frequency
Two heads 30
Two tails 40
One head, one tail 70
Answer the following questions based on the data you gathered. You must show your work to receive credit.
What is the theoretical probability that a coin toss results in two heads showing?
What is the experimental probability that a coin toss results in two heads showing?
What is the theoretical probability that a coin toss results in two tails showing?
What is the experimental probability that a coin toss results in two tails showing?
What is the theoretical probability that a coin toss results in one head and one tail showing?
What is the experimental probability that a coin toss results in one head and one tail showing?
Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?
The experimental probability that a coin toss results in two heads showing is 3/14
The theoretical probability of two headsThe sample space of two coins is:
S = {HH, HT, TH, TT}
In the above sample space, we have:
n(HH) = 1 i.e. number of two headsTotal = 4 i.e. the sample sizeThe theoretical probability of two heads is calculated as:
P = n(HH)/Total
This gives
P = 1/4
Hence, the theoretical probability of two heads is 1/4
The experimental probability of two heads?To do this, we make use of the table in the question
The table is given as:
Result Frequency
Two heads (HH) 30
Two tails (TT) 40
One head, one tail (HT) 70
Total 140
The experimental probability of two heads is calculated as:
P = n(HH)/Total
This gives
P = 30/140
Simplify
P = 3/14
Hence, the experimental probability of two heads is 3/14
The theoretical probability of two tailsUsing the sample space in (a), we have:
n(TT) = 1 i.e. number of two tailsTotal = 4 i.e. the sample sizeThe theoretical probability of two tails is calculated as:
P = n(TT)/Total
This gives
P = 1/4
Hence, the theoretical probability of two tails is 1/4
The experimental probability of two tailsFrom the table in the question, we have:
Two tails (TT) =40
Total = 140
The experimental probability of two tails is calculated as:
P = n(TT)/Total
This gives
P = 40/140
Simplify
P = 2/7
Hence, the experimental probability of two tails is 2/7
The theoretical probability of one head and one tailUsing the sample space in (a), we have:
n(HT) = 2 i.e. number of one head and one tailTotal = 4 i.e. the sample sizeThe theoretical probability of one head and one tail is calculated as:
P = n(HT)/Total
This gives
P = 2/4
Simplify
P = 1/2
Hence, the theoretical probability of one head and one tail is 1/2
The experimental probability of one head and one tailFrom the table in the question, we have:
One head one tail (HT) = 70
Total = 140
The experimental probability of one head one tail is calculated as:
P = n(HT)/Total
This gives
P = 70/140
Simplify
P = 1/2
Hence, the experimental probability of one head one tail is 1/2
Why are there difference between the theoretical probabilities and the experimental probabilities?The reason for the difference between the probability types is because one is as a result of an actual experiment, while the other is an estimate of the experiment.
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2 of 8
=
Given that y = 10 cm and 0 = 19°, work out x rounded to 1 DP.
у
х
oo
Answer:
x = 3.255 cm
Step-by-step explanation:
Given:
⇒ y = 10cm
⇒ θ = 19
To find:
⇒ Value of "n"
Solution
⇒ By Pythagoras theorem
⇒ Δ Sin θ = n/y
⇒ sin 19° = n/10
⇒ 0.3255 = n/10
⇒ n = 0.3255 × 10
⇒ n = 3.255 cm
Hence, the answer is = n = 3.255 cm.
#94 will give brainliest to best answer!
Answer:
5/8
Step-by-step explanation:
There are 8 sections, and 4 sections that are 1, and 1 pink section. So adding these up, we get 5/8.
Hope this helped! :)
Which of the following is a true statement?
6/16 > 7/24
3/5 <5/16
6/16 > 4/10
4/8 < 5/16
The fractional expression 18/48 is greater than 14/48 or 6/16 is greater than 7/24. Then the correct option is A.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The expressions are 6/16 and 7/24.
Then the LCM of the 16 and 24 will be 48.
Then the expressions will be 18/48 and 14/48.
The fractional expression 18/48 is greater than 14/48 or 6/16 is greater than 7/24.
Thus, the correct option is A.
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Explain how the arc BX, central angle BCX, and inscribed BNX are connected. You can compare two or three at a time. B АХ C Z
Answer:
arc BX = central angle BCX
inscribed BNX = 1/2 of central angle BCX
inscribed BNX = 1/2 of arc BX
Step-by-step explanation:
arc BX = central angle BCX
inscribed BNX = 1/2 of central angle BCX
inscribed BNX = 1/2 of arc BX
Ruth ann wants to research two different careers, medical doctor and astronaut. what is a good first step ruth ann could take? if she went to a bookstore to research her careers, which section would she search?
Ruth can visit US Bureau of Labor Statistics website so that she could know more about those careers.
What is a career?career can be regarded as a profession that individuals choose to follow in his lifetime and this his occupation.
Therefore, in choosing a career , one needs to equip himself with information about it, he can visit Bureau of Labor Statistics.
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Answer:
visit the US. Bureau of Labor Statistics website to find information on both careers and the career section
Step-by-step explanation: well i know it right because i just answered it correct
Find the lcd of the given rational equation
The LCD of the rational equation [tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{x^2 -3x + 2}[/tex] is (x + 2) (x -1)(x - 2)
How to determine the LCD?The rational equation is given as:
[tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{x^2 -3x + 2}[/tex]
Factorize the quadratic denominator
[tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{(x -1)(x - 2)}[/tex]
Write out the denominators
(x + 2), (x - 1) and (x -1)(x - 2)
Remove the repetition
(x + 2) (x -1)(x - 2)
Hence, the LCD of the rational equation is (x + 2) (x -1)(x - 2)
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PLEASE HELP!!!!!!!!!!!!!!!!
Using a calculator, it is found that the correlation coefficient for this data is given by:
B. -0.901.
What is a correlation coefficient?It is an index that measures correlation between two variables, assuming values between -1 and 1.If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.To find the coefficient, which has symbol r², we input in a calculator the values of x and the values of y, hence:
r² = -0.901.
Which means that option B is correct.
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Given the system below:
f(x) = 2x
g(x) = 2x
Which value(s) of x make f(x) = g(x) a true statement? If necessary, you may choose more than one
answer.
1
4
3
2
9
0
All real numbers
1. f(x) = 2x
2. g(x) = 2x
Substitute g(x) to the 2x in the first statement.
You'll get: f(x) = g(x)
Therefore, x ∈ all real numbers (any value of x would make it a true statement)
Question 12 of 14
The perimeter of a rectangle is 32 inches. The length is 1 foot. What is the width of the rectangle in inches?
A.
4 inches
B.
10 inches
C.
15 inches
D.
20 inches
Which is the equation of a trend line that passes through the points (7, 450) and (14, 401)? y = negative 7 x 499 y = negative startfraction 1 over 7 endfraction x 451 y = startfraction 1 over 7 endfraction x 449 y = 7 x 401
The equation of the line that passes through the points (7, 450) and (14, 401) is y + 7x = 499
How to find equation of a line?The equation of a line can be represented as follows:
y - y₁ = m(x - x₁)
where
m = slopeTherefore, (7, 450)(14, 401)
m = 401 - 450 / 14 - 7 = -49 / 7 = -7
Therefore, using (7, 450)
y - 450 = -7(x - 7)
y - 450 = -7x + 49
y + 7x = 49 + 450
y + 7x = 499
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A bag of colored paper clips contains 3 red clips
and 6 green clips. What's the probability of
pulling out a red clip and then a green clip?
(Assume that you don't put the first red paper
clip back in the bag.) Write your answer as a
fraction.
Answer:
1/5
Step-by-step explanation:
solution [ calculation of probability ]
P= (3/3+6) × (6/3+6-1)
=3/9×6/10
=1/5
christian is trown into a swimming pool his mass is 62,000g and his volume is 68,000cm3 what would his density be? (Show solution)
Answer:
0.91 g/cm³
Step-by-step explanation:
Density Formula
Density = Mass/VolumeSolving
Density = 62,000 g / 68,000 cm³Density = 31/34 g/cm³Density = 0.91 g/cm³please answer question below asap!!
Answer:
175000
Step-by-step explanation:
If the 1 is centimeters, then you would take 7 centimeters and multiply it by 25000 to get 175000.
what is the volume of an equilateral triangular pyramid with base side length of 9 cm, base
height of 7.8 cm, and height of 5 cm? round your answer to the nearest tenth.
Identify the growth factor for the following exponential function: y= 2.3(1.32)*
A. 2.3
B. 1.32
C. X
D 32%
5
——
——
i need help!!
————-
math geniuses pls help me!
Answer:
C
Step-by-step explanation:
x = 7 cos (2pi/3) y = 7 sin (2pi/3)
x = -7/2 y = 7 sqrt(3) /2
A person can read 24 pages of a book in 1/3 of an hour. What is this person's reading rate in pages per hour?
72
48
12
8
You roll a number cube twenty times and it lands on a 3 five times. What is the
experimental probability that it ends on a 3 the next time you roll?
Answer:
Hence, a fair dice has a probability of 16 to land on any predetermined number 1 through 6. Therefore, to land on 3 the probability is 16
Step-by-step explanation:
Solve for x and find the length of GH (show work)
Answer:
A. How are GH and GI related?
They are tangents.B. Write an equation to solve for x.
GH = GIC. Let's solve the equation...
GH : 2x
GI : x + 12
2x = x + 122x - x = 12x = 12D. Now, that we solve for x, let's find the length of GH....
GH = 2x where, x = 12
2(12)24Therefore, the length of GH is 24.
Evaluate the integral, please help!!!
[tex]\int_{0}^{\pi}(1+cosx) dx[/tex]
Answer:
pi
Step-by-step explanation:
First solve the integral
[tex]\int\ {(1+ cos x} )\, dx[/tex]
[tex]\int\ {1} \, dx +\int\ {cos x} \, dx[/tex]
[tex]\int\ {1} \, dx = x[/tex] and [tex]\int\ {cos x} \, dx = sin x[/tex]
x + sin x
Now consider the limit from 0 to π
[tex]\lim_{0 \to \\pi } (x+sin x)[/tex]
(π +sin π) -(0 +sin 0)
sin π = 0 and sin 0 = 0
π-0
π
Answer:
[tex]\displaystyle \int\limits^\pi_0 {(1+\cos x)} \, dx=\pi[/tex]
Step-by-step explanation:
[tex]\displaystyle \int\limits^\pi_0 {(1+\cos x)} \, dx\\\\=x+\sin x\biggr|^{\pi}_0\\\\=[\pi+\sin\pi]-[0+\sin0]\\\\=\pi[/tex]
Remember your antiderivatives!
Help pls
Two digits of the 6-digit number X = 345 * 8* are missing. Fill in the missing digits
so that the number obtained is the smallest possible number that is divisible by 45.
Find X.
The smallest possible number that is divisible by 45 when the blanked place of the number is filled is 345285.
What is the divisible rule of 9 and 5?The divisible rule of 9 and 5 are:
Divisible rule of 9- When the addition of all number is divisible by 9, then that number also divisible by 9.Divisible rule of 5- When a number has a digit 0 or 5 in the last of it, then that number also divisible by 5.Two digits of the 6-digit number are missing.
[tex]X = 345 * 8*[/tex]
The smallest possible number from this is divisible by 45. The factors of 45 are 9 and 5.
[tex]45=9\times5[/tex]
Thus, the 6-digit number which is divisible by 45, must be divisible by 9 and 5.
To be divisible with 5, the number has 0 or 5 in last. So the numbers can be,
[tex]X = 345 * 85\\X=345 * 80[/tex]
For first number, when the blank is filled with number 2 to make sum 9 and for second the blank number should be 7. Thus, the numbers,
[tex]X = 345 285\\X=3457 80[/tex]
Thus, the smallest possible number that is divisible by 45 when the blanked place of the number is filled is 345285.
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The annual fundraising goal of a college is $100,000. so far $58,743 has been raised. how much more money is needed to reach the goal?
Answer:
41,257
Step-by-step explanation:
100,000
-
58,743
-------------
41,257
The amount that is needed to reach the goal is $41257 if the annual fundraising goal of a college is $100,000. so far $58,743 has been raised.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The annual fundraising goal of a college is $100,000.
Let x be the amount that is needed to reach the goal.
The linear equation in one variable can be framed as follows:
x + 58,743 = 100,000
x = 100,000 - 58,743
x = $41257
Thus, the amount that is needed to reach the goal is $41257 if the annual fundraising goal of a college is $100,000. so far $58,743 has been raised.
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what is 16/18 and 4/18 in its simplest form ?
Answer:
in fractions
16/18 = 8/9
4/18 = 2/9
Answer:
8/9 and 2/9
Step-by-step explanation:
for 16/18
divide the numerator and denominator by 2 to option it's simplest form
16/18÷2/2 = 8/9
for 4/18
also divide the numerator and denominator by 2 to get the simplest form.
4/18 ÷2/2= 2/9
4. In a women's professional tennis tournament, the money a player wins depends on her finishing place in the
standings The first-place finisher wins half of $1.500.000 in total prize money. The second-place finisher wins half of
what is left then the third-place finisher wins half of that, and so on.
al Write a rulle to calculate the actual prize money in dollars won by the player finishing in nth place, for any positive
b) What type of relationship exists between the two variables?
Using geometric sequence concepts, it is found that:
a) The rule is: [tex]P_n = 750000(0.5)^{n-1}[/tex].
b) An exponential relationship exists between the two variables.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
A geometric sequence represents an exponential relationship between the variables.
In this problem, considering that the first-place finisher wins half of $1.500.000 in total prize money, and each finisher earns half of the one who finished above, the first term and the common ratio are given by:
[tex]a_1 = 750000, q = 0.5[/tex].
Hence the nth term of the sequence is given by:
[tex]P_n = 750000(0.5)^{n-1}[/tex]
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(A-5)² + (B- 3)² = 18 B=A-2 A = ?, B = ?
Answer:
A = 8 and B = 6
Step-by-step explanation:
Since (B = A - 2), we can substitute (A - 2) in for the "B" variable in the first equation to isolate "A".
(A - 5)² + (B - 3)² = 18 -----> Original equation
(A - 5)² + ((A - 2) - 3)² = 18 -----> Plug in B = A - 2
(A - 5)² + (A - 5)² = 18 -----> Subtract
(A² - 10A + 25) + (A² - 10A + 25) = 18 -----> Expand parentheses
2A² - 20A + 50 = 18 ------> Add like terms
2A² - 20A + 32 = 0 -----> Subtract 18 from both sides
2(A² - 10A + 16) = 0 -----> Remove common factor
2(A - 2)(A - 8) = 0 -----> Factor within parentheses
A = 2 -----> Find A - 2 = 0
A = 8 -----> Find A - 8 = 0
Since "A" gave two possible values, we need to plug them into both equations to see which value gives reasonable "B" values.
When A = 2:
B = A - 2 -----> Original equation
B = 2 - 2 -----> Plug in A = 2
B = 0 -----> Subtract
(A - 5)² + (B - 3)² = 18 -----> Original equation
(2 - 5)² + (B - 3)² = 18 ------> Plug in A = 2
(-3)² + (B - 3)² = 18 -----> Subtract within first parentheses
9 + (B - 3)² = 18 -----> Square value within first parentheses
(B - 3)² = 9 -----> Subtract 9 from both sides
B - 3 = 3 -----> Take square root of both sides
B = 6 -----> Add 3 to both sides
When A = 8:
B = A - 2 -----> Original equation
B = 8 - 2 -----> Plug in A = 8
B = 6 -----> Subtract
(A - 5)² + (B - 3)² = 18 -----> Original equation
(8 - 5)² + (B - 3)² = 18 ------> Plug in A = 8
(3)² + (B - 3)² = 18 -----> Subtract within first parentheses
9 + (B - 3)² = 18 -----> Square value within first parentheses
(B - 3)² = 9 -----> Subtract 9 from both sides
B - 3 = 3 -----> Take square root of both sides
B = 6 -----> Add 3 to both sides
As you can see, when A = 2, there are two possible values of "B" depending on the equation. However, when A = 8, both equations give a "B" value of B = 6. Therefore, A = 8 and B = 6 are the answers.
