Answer:
the approximate area of this circle is 200.96 inches long.
Step-by-step explanation:
To answer this problem we need to remember that the area of a circle is given by the formula:
Area = π[tex]r^2[/tex] where r is the radius.
and the perimeter is:
Perimeter = 2πr
Now, the problem tells us that the circle is enclosed by a piece of rope that's 50.24 inches long. So the perimeter of the circle is 50.24 inches.
Since we have the value of the perimeter and the value of pi, we are going to substitute these values in the perimeter formula to find r.
Perimeter = 2πr
50.24=2(3.14)r
50.24= 6.28r
50.24/6.28= r
8= r
Thus, the radius of the circle is 8 inches long.
Now, we can use this value to find the area of the circle:
Area = π[tex]r^2[/tex]
Area = π[tex]8^2[/tex]
Area = 3.14 (64)
Area = 200.96
Therefore, the approximate area of this circle is 200.96 inches long.
The approximate area of a circle enclosed by a piece of rope is 200.96 square inch.
The length of rope by which a circle is made, is known as circumference of circle.
Circumference of circle = [tex]2\pi r[/tex] , where r is radius of circle.
Since, length of rope is 50.24 inches.
[tex]2\pi r=50.24\\\\r=\frac{50.24}{2*3.14}=8 inch[/tex]
Area of circle = [tex]\pi r^{2}[/tex]
= [tex]3.14 *(8)^{2}=200.96[/tex] square inch
Thus, the approximate area of a circle enclosed by a piece of rope is 200.96 square inch.
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Tại sao số mắt xích không được là bội số của số răng đĩa xích
Answer:
Nên sử dụng số răng lẻ cho đĩa xích dẫn động kết hợp với số lượng mắt xích chẵn để mài mòn đồng đều trên răng và trục lăn. Trong trường hợp này, một răng cụ thể của bánh xích không tiếp xúc với một mắt xích cụ thể của xích trong mỗi lần quay.
Step-by-step explanation:
Translated
It is preferable to use an odd number of teeth for the driving sprocket in combination with an even number of chain links for uniform wear and tear on the teeth and rollers. In this case, a particular tooth of the sprocket wheel does not come in contact with a particular link of the chain for every rotation.
WILLL GIVE ALL MY POINT PLUS MARK BRAILIEST PLS HELP ASAP TY <3
Answer:
The unknown integer that solves the equation is 6.
Step-by-step explanation:
In order to find the missing number, we can set up an equation as if we are solving for x.
x + (-8) = -2
Add 8 on both sides of the equation.
x = 6
So, the unknown integer is 6.
Answer:
6
Step-by-step explanation:
6 plus -8 is -2
find the unknown angles .......... please answer number wise .................................... please help!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=
a.60
b.25
c.45
d.30
e.53
f.is a right angle so 90
g.15
h.is a right angle so 90.we have to divide it so it's 45.equal to both sides.
Step-by-step explanation:
by looking at the angles we know
first one is 180.so simply just subtract from the number given.like that we do..
as you can see H ,there the symbol means both sides are equal so the amount will be same.
The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is Fraction 2 over 5 unit and the width is Fraction 1 over 5 unit, what is the perimeter of the rectangle in units?
Fraction 3 over 5 unit
1 unit
1Fraction 1 over 5 units
2Fraction 3 over 5 units
Answer:
Step-by-step explanation:
L = ⅖ unit
W = ⅕ unit
L+W = ⅗ unit
Perimeter = 2×⅗ = 6/5 units = 1⅕ units
Answer:
L = ⅖ unit
W = ⅕ unit
L+W = ⅗ unit
Perimeter = 2×⅗ = 6/5 units = 1⅕ units
Step-by-step explanation:
An Image point after a 180° rotation Is Z(3, 7). What were the coordinates of the pre-Image point?
Z-3-7)
2173)
27-3)
21-7-3)
Answer:
Does the answer help you?
what number must be added to the sequence of 7,13 and 10 to get an average of 13
Answer:
22
Step-by-step explanation:
We can write an equation:
(7+13+10+x)/4=13
x represents the number that needs to be added to get an average of
(7+13+10+x)/4=13
(30+x)/4=13
30+x=52
x=22
The number is 22
Hope this helps! Have a wonderful day :)
What is the solution to this system of linear equations?
y-x = 6
y + x = -10
(-2,-8)
(-8.-2)
(6.-10)
(-10.6)
Answer:
The correct answer is A
Step-by-step explanation:
Answer:
(-8, -2)
Step-by-step explanation:
y-x = 6
y + x = -10
Add the two equations together to eliminate x
y-x = 6
y + x = -10
--------------------
2y = -4
Divide by 2
2y/2 = -4/2
y = -2
Now find x
y+x = -10
-2+x = -10
x = -8
(1-Cota)^2
+(tana-1)^2=4cosec2a(cosec2a-1)
Answer:
Step-by-step explanation:
(1-CotA)² + (tanA-1)² = 4csc2A(csc2A-1)
To prove this equation we will take the expression given in left hand side and will convert it into the expression given in right hand side of the equation.
L.H.S. = (1-CotA)² + (tanA-1)²
= 1 + Cot²A - 2CotA + 1 + tan²A - 2tanA
= cosec²A - 2CotA + Sec²A - 2tanA
[Since, (1 + Cot²A = cosec²A) and (1 + tan²A = Sec²A)]
= (cosec²A + Sec²A) - 2(CotA + tanA)
= [tex](\frac{1}{\text{SinA}})^{2}+(\frac{1}{CosA} )^{2}-2\text{(tanA}+\frac{1}{\text{tanA}})}[/tex]
= [tex]\frac{1}{(\text{SinA.CosA})^2}-2(\frac{tan^2A+1}{tanA} )[/tex]
= [tex]\frac{4}{\text{(Sin2A})^{2}}-4(\frac{1}{\text{Sin2A}} )[/tex]
[Since 2SinA.CosA = Sin2A and [tex]\frac{2(\text{tanA})}{1+\text{tan}^{2}A}=\text{Sin2A}[/tex]]
= 4Cosec²2A - 4Cosec2A
= 4Cosec2A(Cosec2A - 1)
= R.H.S. (Right hand side)
Hence the equation is proved.
Find the surface area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest radical form.
Answer:
The area of the pyramid is 360 unit²
Step-by-step explanation:
Given
Base Edge, a = 10
Height, h = 12
Required
Determine the surface area
The surface area of a regular pyramid is calculated as thus;
[tex]A = a^2 + 2a\sqrt{\frac{a^2}{4} + h^2}[/tex]
Substitute values for a and h
[tex]A = 10^2 + 2 * 10 * \sqrt{\frac{10^2}{4} + 12^2}[/tex]
Evaluate all squares
[tex]A = 100 + 2 * 10 * \sqrt{\frac{100}{4} + 144}[/tex]
[tex]A = 100 + 2 * 10 * \sqrt{25 + 144}[/tex]
[tex]A = 100 + 2 * 10 * \sqrt{169}[/tex]
Take positive square root of 169
[tex]A = 100 + 2 * 10 * 13[/tex]
[tex]A = 100 + 260[/tex]
[tex]A = 360[/tex]
Hence, the area of the pyramid is 360 unit²
Answer:
B.) 360 units2
Step-by-step explanation:
I got it correct on founders education
Solve for x. Question 12 options: A) 8 B) 5 C) 14 D) 10
Answer:
B) 5
Step-by-step explanation:
Proportions:
8 ⇒ 10
20 ⇒ 5x
5x = 20*10/8
5x = 25
x = 25/5
x = 5
How do u solve A/B + C/D = E
Consider the given statement: Not all rooms at the hotel have a bed.
For each statement below, decide whether it is a negation of the given statement.
A.) No room at the hotel has a bed YES/NO
B.) Some rooms at the hotel have a bed YES/NO
C.) Some rooms at the hotel do not have a bed YES/NO
D.) All rooms at the hotel have a bed YES/NO
Answer:
The negation is the OPPOSITE of whatever is said, so in this case, the opposite of "Not all rooms at the hotel have a bed." would be D "All rooms at the hotel have a bed" and A "No room at the hotel has a bed"
The correct answers are A and D
Let me know if this helps!
Answer:
a. no because it states that no rooms have a bed when it states not all rooms at the hotel have a bed
b. yes because while its true some rooms dont have a bed other rooms will
c. yes again some rooms do have a bed and some dont
d. no because we have already established that only some rooms have beds not all
hope this helps
Step-by-step explanation:
I need to find AB can someone please help me ASAP :(
Answer:
AB = 11
Step-by-step explanation:
Using the external secant property,
CB*CA = CD*CL (=CT^2 if T is tangent throught C)
substitute values,
7*(7+2x+3) = 9*(9+x+1)
Expand and simplify
70+14x = 90 + 9x
5x = 20
x = 4
=>
AB = 2x+3 = 2(4)+3 = 8+2 = 11
Find the greatest number of students to whom 45 soccer balls and 60 tennis balls can be equally divided.
Answer:
15 studentsStep-by-step explanation:
Find GCF of 45 and 60:
45 = 3*3*560 = 2*2*3*5GCF(45,60) = 3*5 = 15
Find Greatest common multiple or GCF
[tex]\\ \sf\longmapsto 45=3\times 3\times 5[/tex]
[tex]\\ \sf\longmapsto 60=2\times 2\times 3\times 5[/tex]
Now
[tex]\\ \sf\longmapsto GCF=3\times 5=15[/tex]
If 4 pounds of cherries cost $10, what is the unit price
Answer:
2.5$ per pound
Step-by-step explanation:
The cost of 4 pounds of cherries cost 10$
So to khow the price of 1 pound we must divide 10 by 4.
● 10/4 = 2.5
So 1 pound costs 2.5$
how many hours are there from 10:30 on Monday to 11:30 on Tuesday
Answer:
25 hours.
Step-by-step explanation:
We are to find the number of hours from:
Monday at 10:30
to
Tuesday at 11:30
Since the question does not state whether the times are in A.M / P.M ,
There are 24 hours upto 10:30 on Tuesday.
Adding 1 hour gives 11:30
So the answer = 24 + 1 = 25 hrs
Answer:
25 hours
Step-by-step explanation:
1 day=24 hours
11.30-10.30=1 hour
----------------------------
add the total 25 hours
Use the figure to name a plane containing point
L.
Give two Examples of workers targeted for by minimum waged
Answer:
Minimum wage refers the smallest wage an employee can make per hour for all hours he or she works on the job. ... For example, New York has a higher minimum wage than Maine, as the cost of living is higher in New York.
if my answer helps you than mark me as brainliest.
Write this ratio as a fraction in simplest form without any units.
7 gallons to 40 quarts
9514 1404 393
Answer:
7/10
Step-by-step explanation:
In order to make the units cancel, they must be the same. There are 4 quarts in 1 gallon, so 40 quarts = 10×4 quarts = 10×(1 gal) = 10 gal.
Then the ratio is ...
(7 gal)/(10 gal) = 7/10
A bag contains 6 red marbles, 3 blue marbles and 1 green marble. What is the probability that a randomly selected marble is not blue?
Answer:
3/10
Step-by-step explanation:
6+3+1=10
since there are 3 blue marbles, we put the 3 into the place of the numerator
and since there is 10 marbles in total it goes into the denominator
The probability that a randomly selected marble is not blue will be 0.70.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
A bag contains 6 red marbles, 3 blue marbles and 1 green marble.
The total number of the event will be
Total event = 6 + 3 + 1
Total event = 10
Then the probability that a randomly selected marble is not blue will be
Favorable event = 7 {red, green}
Then the probability will be
P = 7 / 10
P = 0.70
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A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked its taste.
Which of these is an example of descriptive statistics?
a.)
40% of the people in the city where the bakery is located like the taste of the cookie.
b.)
40% of the surveyed customers like the taste of the cookie.
c.)
40% of all the bakery's customers like the taste of the cookie.
d.)
40% of all people like the taste of the cookie.
Answer:[ 40% of the surveyed customers like the taste of the cookie is an example of descriptive statistics. ]
A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked its taste. [ 40% of the surveyed customers like the taste of the cookie is an example of descriptive statistics. ]
An example of the disruptive statistics is 40% of the surveyed customers like the taste of the cookie is an example of descriptive statistics.
We have given that,
A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked its taste.
We have to determine the
an example of descriptive statistics
What are the descriptive statistics?
Descriptive statistics is a set of brief descriptive coefficients that summarize a given data set representative of an entire or sample population.
A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked its taste. 40% of the surveyed customers like the taste of the cookie is an example of descriptive statistics.
An example of the disruptive statistics is that 40% of the surveyed customers like the taste of the cookie is an example of descriptive statistics.
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please help!! need answer will give brainliest
Answer:
k(3) is 7 and f(h(15)) is 43
Step-by-step explanation:
(a).
[tex]{ \sf{k(x) = h(x) + g(x)}} \\ { \sf{k(x) = (3 \sqrt{x + 1}) + ( - {x}^{2} + 3x + 1) }} \\ { \sf{k(x) = (3 \sqrt{3 + 1} ) + ( - {3}^{2} + 3(3) + 1) }} \\ { \sf{k(x) = 6 + 1}} \\ { \sf{k(x) = 7}}[/tex]
b).
[tex]{ \sf{f(h(x)) = 4(3 \sqrt{x + 1}) - 5 }} \\ { \sf{f(h(15)) = 4(3 \sqrt{15 + 1}) - 5 }} \\ { \sf{f(h(15)) = 4(3 \sqrt{16} ) - 5}} \\ { \sf{f(h(15)) = 48 - 5}} \\ { \sf{f(h(15)) = 43}}[/tex]
Which polynomial is prime? x2 + 9 x2 – 25 3x2 – 27 2x2 – 8
This is a sum of squares, which cannot be factored over the real numbers. You'll need to involve complex numbers to be able to factor, though its likely your teacher hasn't covered that topic yet (though I could be mistaken and your teacher has mentioned it).
Choice B can be factored through the difference of squares rule. Therefore, choice B is not prime.
Choice C and D can be factored by pulling out the GCF and then use the difference of squares rule afterward. So we can rule out C and D as well.
Answer:
A
Step-by-step explanation:
because it has a + sign
Multiply 750 x 38 step by step plzzz
Answer:
28500
Step-by-step explanation:
you simply set up a equation on paper then you solve it using the method where you put numbers under each other than multiply
Answer:
28500
Step-by-step explanation:
the number of times n a ball bounces
Choose the correct answer below.
O rational numbers
O integers
o irrational numbers
O natural numbers
The number of times n a ball bounces is a natural number
How to determine the category of the statement?The mathematical statement is given as:
The number of times n a ball bounces
A ball cannot bounce in decimal times or negative times
Also, it can not bounce in 0 times
This means that the number of bounce is a positive integer
A positive integer is also a natural number
Hence, the number of times n a ball bounces is a natural number
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Diana paints 150 fence posts and chuck paints 130 fence posts. Diana paints 10 more fence posts than chuck. How many fence posts does chuck paint per hour?
Complete Question
The complete question is shown on the first uploaded image
Answer:
Step-by-step explanation:
From the question we are told that
The relationship is [tex]\frac{150 }{d} = \frac{130}{c}[/tex]
The number of fence post painted by chuck is [tex]l = 130[/tex]
The number of fence post painted by Diana is [tex]k = 150[/tex]
can paint 10 fences more than chuck so let say the of fence painted in an hour by chuck is [tex]g[/tex]
Then the number of fence post painted by Diana in one hour is
[tex]f = g+ 10[/tex]
So
[tex]\frac{150 }{ g + 10 } = \frac{130}{g}[/tex]
[tex]130 g + 1300 = 150g[/tex]
[tex]g = 65 \ m[/tex]
A slot machine has 3 dials. Each dial has 30 positions, one of which is "Jackpot". To win the jackpot, all three dials must be in the "Jackpot" position. Assuming each play spins the dials and stops each independently and randomly, what are the odds of one play winning the jackpot?
since there are 3 slots and each slot has 30 positions:
dial 1 can have a max of 30 possible outcomes, and so can dial 2 and 3
hence all the dial have 30 possible outcomes
total combinations = total outcomes of slot 1 X total outcomes of slot 2 X total outcomes of slot 3/ 3!
total combinations = 30 * 30 * 30 / 3 X 2 X 1
total combinations = 9000/3 X 2
total combinations = 1500
hence, there is a total of 1500 different combinations of the 3 slots
the combination required is 1 from the 1500
hence the odds are 1/1500
Answer:
1/27000
Step-by-step explanation:
30*30*30 =27000
each dial has to be in correct position so 1/27000 is correct
For the given data value, find the standard score and the percentile. A data value 0.6 standard deviations above the mean.
Answer:
The standard score [tex]z = 0.6[/tex]
The the percentile [tex]P(z < 0.6 ) = 72.57\%[/tex]
Step-by-step explanation:
From the question we are told that
A data value is 0.6 standard deviations above the mean.
The above statement can be mathematically represented as
[tex]x = 0.6 \sigma + \mu[/tex]
Where [tex]\sigma[/tex] is the standard deviation and [tex]\mu[/tex] is the mean
Generally the standard score is mathematically represented as
[tex]z = \frac{x - \mu}{\sigma}[/tex]
=> [tex]z = \frac{(0.6 \sigma + \mu) - \mu}{\sigma}[/tex]
=> [tex]z = 0.6[/tex]
Now the percentile is obtained from the z-table , the value is
[tex]P(z < 0.6 ) = 0.7257[/tex]
=> [tex]P(z < 0.6 ) = 72.57\%[/tex]
Simplify the equation
(X 2/5) 10
Answer:
x^4
Step-by-step explanation:
x^(2/5) ^10
We know that a^b^c = a^(b*c)
x^(2/5*10)
x^4
Answer:
[tex]{x}^{4} [/tex]
Step-by-step explanation:
[tex] ({x}^{ \frac{2}{5} } ) ^{10} \\ {x}^{ \frac{2}{5} \times 10} \\ {x}^{ \frac{20}{5} } \\ {x}^{4} [/tex]
Mark has a collection of 80 coins. There are only nickels and dimes in the collection. The total value of the coins is $5.00. How many dimes does Mark have?
Answer:
number of nickel = 60
number of dimes = 20
Step-by-step explanation:
1 nickel = 5 cents
1 dimes = 10 cents
$1 = 100 cents
we will use these value to solve the questions
_______________________________
Total no of coins = 80
let the number of nickels be x
let the number of dimes be y
thus,
x+y = 80
y = 80-x equation 2
value of x nickels = 5x
value of y dimes = 10y
Total value of x nickels and y dimes = 5x+10y
The total value of the coins is $5.00
total value of the coins in cents = 5*100 = 500
thus
5x+10y = 500
using y = 80-x from equation 2
5x + 10(80 - x) = 500
5x + 800 - 10x = 500
-5x = 500 - 800 = -300
x = -300/-5 = 60
Thus,
number of nickel = 60
number of dimes = 80-60 = 20