Answer:
23 in
Step-by-step explanation:
We know the area of the circular disc is A = πr² where r = radius and π = 3.14.
So, r = √(A/π)
Now, if A = 1650 square inches,
r = √(A/π)
= √(1650 in²/π)
= √525.48 in²
= 22.92 in
≅ 22.9 in
Also, if A = 1700 square inches,
r = √(A/π)
= √(1700 in²/π)
= √541.40 in²
= 23.27 in
≅ 23.3 in
If the area is between 1650 in² and 1700 in², that is 1650 in² < A < 1700 in²
then, the radius is between 22.9 in < r < 23.3 in.
Since the left and right side of the inequality are approximately 23 in, the radius of the circular disc is 23 in.
The length of the radius of the circular disc is approximately is 23 in.
Hence, option A)23 in is the correct answer.
What is a circle?A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The area of a circle is expressed mathematically as;
A = πr²
Where r is radius and π is constant pi ( π = 3.14 )
Now, if the area of the circular disc is 1650in², the radius r will be;
A = πr²
1650in² = 3.14 × r²
r² = 1650in² / 3.14
r² = 525.4777in²
r = √( 525.4777in² )
r = 22.9in
Also, if the area of the circular disc is 1700in², the radius r will be;
A = πr²
1700in² = 3.14 × r²
r² = 1700in² / 3.14
r² = 541.40127in²
r = √( 541.40127in² )
r = 23.3in
Next we take the average of the two radii
Radius = ( 22.9in + 23.3in )/2 = 46.2/2 = 23.1 ≈ 23 in
The length of the radius of the circular disc is approximately is 23 in.
Hence, option A)23 in is the correct answer.
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For the following system of equations, the value of x is______
The system of equation is x + 3y = 6
6x - 6y = 4
PLEASE HELP!!
Answer: x = 2, y = 4/2
Step-by-step explanation:
Solve the System of Equations
x + 3y = 6 6x − 6y = 4
Subtract 3y from both sides of the equation.
x = 6 − 3y 6x − 6y = 4
Replace all occurrences of x with 6 − 3y in each e quation.
Replace all occurrences of x in 6x − 6y = 4 with 6 − 3y.
6 (6 − 3y) − 6y = 4
x = 6 − 3y
Simplify 6 (6 − 3y) − 6y.
36 − 24y = 4
x = 6 − 3y
Solve for y in the first equation.
Move all terms not containing y to the right side of the equation.
−24y = −32
x = 6 − 3y
Divide each term by −24 and simplify.
y = 4/3
x = 6 − 3y
Replace all occurrences of y with 4/3 in each equation.
Replace all occurrences of y in x = 6 − 3y with 4/3
x = 6 − 3 ( 3 )
y= 4/3
Simplify 6 − 3 ( 4 )
x = 2
y = 4/3
The solution to the system is the complete set of ordered pairs that are valid solutions.
(2, 4 /3 )
The result can be shown in multiple forms.
Point Form: 2, 4 /3
Equation Form: x = 2, y = 3
-10 = -0.2k
k = ?
solve for k
Answer:
-10 = -0.2k
we multiply both sides by 5
-50 = -k
k = 50
Step-by-step explanation:
A sphere has a Volume of 972 cubic feet. Find the radius of the sphere.
Answer:
6.15
Step-by-step explanation:
Please help!!!
composition of functions
g(x)=2x-5 h(x)=x^2-2
find g(h(-8))
Answer:
g(h(-8)) = 119
Step-by-step explanation:
Given
g(x)=2x-5h(x)=x²-2To determine
g(h(-8)) = ?In order to determine g(h(-8)), we need to determine h(-8) first
substituting x = -8 in h(x)=x²-2
h(-8) = (-8)² - 2
h(-8) = 64 - 2
h(-8) = 62
so
g(h(-8)) = g(62)
now substituting x = 62 in g(x)=2x-5
g(62)=2(62)-5
g(62) = 124 - 5
g(62) = 119
so
g(h(-8)) = g(62) = 119
Therefore,
g(h(-8)) = 1194. The length of a rectangle is one more than twice the width. The area is 105 in?.
Find the WIDTH of the rectangle. *
9514 1404 393
Answer:
7 in
Step-by-step explanation:
For width w in inches, the length is given as 2w+1. The area is the product of length and width, so we have ...
A = LW
105 = (2w +1)w
2w^2 +w -105 = 0
To factor this, we're looking for factors of -210 that have a difference of 1.
-210 = -1(210) = -2(105) = -3(70) = -5(42) = -6(35) = -7(30) = -10(21) = -14(15)
So, the factorization is ...
(2w +15)(w -7) = 0
Solutions are values of w that make the factors zero:
w = -15/2, +7 . . . . . negative dimensions are irrelevant
The width of the rectangle is 7 inches.
REALLY EASY MATHS QUESTION PLS HELP
(I think it easy lol)
Answer:
no.2 no.5
Step-by-step explanation:
i don't know how to explain
have a good rest of your day
Answer:
question (1) c^2=a^2+b^2
Step-by-step explanation:
pythagoras theorem
PLEASE HELP ME FAST!!! Monica's bicycle wheel has a radius of 16 inches. Kevin's tricycle wheel has a radius of 8 inches. How many times larger is the circumference of Monica's wheel that the circumference of Kevin's tricycle wheel? Show your work
Answer:
50.2 inches
Step-by-step explanation:
The wheel of a tricycle is circular in shape.
The circumference of a circle = 2πr
For Monice
Monica's bicycle wheel has a radius of 16 inches.
The circumference of her bicycle wheel = 2 × π × 16
= 100.53096491 inches
Approximately = 100.5 inches
For Kevin
Kevin's tricycle wheel has a radius of 8 inches.
The circumference of his wheel =
2 × π × 8
= 50.265482457 inches
Approximately = 50.3 inches
How many times larger is the circumference of Monica's wheel that the circumference of Kevin's tricycle wheel?
This is calculated as:
Circumference of Monica's wheel - Circumference of Kevin's wheel
= 100.5 inches - 50.3 inches
= 50.2 inches
Hence: Monica's wheel is 50.2 inches larger than Kevin's wheel
Answer: All I know is I got a 1/2 points on my open ended question. Monica’s bicycle wheel is 2 times larger than Kevin’s.
Step-by-step explanation: I think you add or multiply or divide. I gotta figure it out myself.
Jane works at The Bottling Company. She needs to put 8,500 bottles of water into cases. So far she has put 2,136 in cases. How many cases can Jane fill with the remaining bottles? How many bottles will be left?
Answer:
6364 cases
6364 bottles are left
Step-by-step explanation:
From the question, we are given the following
Total bottles of water = 8500bottles
Total cases filled = 2136cases
Required
Number of cases Jane can film with the remaining bottle.
Number of cases Jane can fill = 8500-2136
Number of cases Jane can fill with the remaining bottle= 6364 cases
Number of bottles left = number of cases Jane have left to fill.
Hence;
Number of bottles left = 6364 bottles
I need help asap pls
What is .09375 as a fraction
Answer:
.09375 as a fraction is [tex]\frac{3}{32}[/tex]
0.09375 as a fraction in its lowest form is 3/32.
To convert the decimal number 0.09375 into a fraction, we can express it as the numerator over the appropriate power of 10 in the denominator.
The decimal number 0.09375 can be written as 9375/100000.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD).
In this case, the GCD of 9375 and 100000 is 3125,
So, we can divide both numbers by 3125:
= 9375 ÷ 3125 / 100000 ÷ 3125
= 3/32
Therefore, 0.09375 as a fraction in its lowest form is 3/32.
Learn more about Fraction here:
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need help pls, i will give brainliest
Answer:
It is the y intercept
Step-by-step explanation:
help pleseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee i think i spelled that wrong
but stillplese help
6 identical toys weigh 1.8kg. a) convert 1.8kg to grams. b) what is the weight of one toy? Give your answer in grams. c) how much would 4 toys weigh? Give your answer in kilograms
Answer: a) 1800g b) 300g c) 1200g
Step-by-step explanation:
a) 1.8 x 1000 = 1800g
b) 1800g / 6 toys= 300g > the weight of one toy
c) 300g x 4 toys = 1200g / 1000 = 1.2 kg
Answer:
a. 1.8kg to grams
1000g =1kg
x =1.8kg
cross multiply
x = 1.8 x 1000
x= 1800g
b. weight of one toy
6 toys = 1800g
1 toy = 1800÷6
1 toy = 300g
c. 1kg = 300g
4toys = x
x = 4 x 300
x = 1200g
1200g to kilogram
1000g = 1kg
1200g = x
cross multiply
1000x = 1200
x = 1200÷1000
x = 1.2kg
(0,4) F (-40) (40) (0, -4) What is the length of FG ? 811 units O OD. units 3 units units 3 Ос. units 13
I NEED HELP PLS HURRY
Answer:
4th option
Step-by-step explanation:
3) This decimal is colored to show
1
I need help, I don't quite understand
Answer:
1
Step-by-step explanation:
so we have:
f+2>5 2 goes the other side, so
f>5-2
f>3
f+4<9 4 goes to the other side, so
f<9-4
f<5
we have two inequality
f>3
f<5
f belongs (3,5), we have only one value for this, it is 4
Please help me with this..
The weight, in pounds, of a newborn baby t months after birth can be modeled by the equation W=1.5t+10. What is the slope of the equation and what is its interpretation in the context of the problem?
Answer:
Step-by-step explanation:
W = 1.5t + 10
slope = 1.5
Every month, the baby gains 1.5 pounds.
The sum of the angle measures of any triangle is 180°. If one angle of a triangle measures 35º and another angle measures 72º, what is the measure of the third angle?
Answer:
73°
Step-by-step explanation:
Start with 35° + 72° = 107°
Then 180° - 107° = 73°
Answer:
[tex]we \: knw \: that \: total \: angle = 180 \\ 35 + 72 + x = 180 \\ 107 + x = 180 \\ x = 180 - 107 \\ x = 73 \\ thank \: you[/tex]
Which expression shows 10 less than a
number n?
A n + 10
B 10•n
C 10-n
Dn-10
Answer:
D
Step-by-step explanation:
I hope this helps you with your question :)
Answer:
d
Step-by-step explanation:
n - 10
Because you are trying to find 10 less than n, so you would want to subtract 10
Hope this Helps!!!
plz I need a help expand:(5x+4y)(5x-4y)
Answer:
25xwith an exponent of 2 minus 16y with an exponent of 2
HELP ASAP‼️‼️ The price for 4 pounds of ribs is $28
what is the unit rate?
Answer:
$7 per pound
Step-by-step explanation:
28/4
The set of ordered pairs below represents a function.
(5,8) , (-8,1) , (15,-4), (-1,16), (17,7)
Mariela claims that she can add any point to the set and it will still represent a function.
Which of the following points can be used to show that Mariela's claim is incorrect?
Select all that apply.
(1,1)
(-8,6)
(17,-3)
(-5,8)
(-1,-16)
(1,1)
(-1,-16)
(-5,8)
(-8,6)
(17,-3)
What is the acceleration of the bike from 0 seconds to 6 seconds?
Answer:
3mph
Step-by-step explanation:
write the equation of the graphed in NO SPACES ALL LOWERCASE
Help !!
Answer:
The equation of the graphed line is:
y = 2Step-by-step explanation:
From the graph, it is clear that the line is a horizontal line at y = 2.
We know that a horizontal line has a slope of 0 because the value of y does not change no matter what the value of x we put in.
In other words, the equation of the horizontal line would always get the form:
y = k
where k is the y-intercept of the line.
Determining the y-intercept of the line:
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept k = 2
Thus, if we substitute the y-intercept k = 2 in the equation y = k, we get the equation
y = 2
Therefore, the equation of the graphed line is:
y = 2An ounce of almonds costs $1.40. If Joey buys 2.4 ounces of almonds, how much will he have to pay?
Answer:
Joey will pay $3.36 for 2.4 ounces of almonds.
Step-by-step explanation:
Given that:
Cost of almonds = $1.40 per ounces
Number of ounces bought by Joey = 2.4 ounces
Cost of 2.4 ounces = Ounces of almond * Cost per ounce of almond
Cost of 2.4 ounces = 2.4 * 1.40
Cost of 2.4 ounces = $3.36
Hence,
Joey will pay $3.36 for 2.4 ounces of almonds.
Help me out please an thank you
What are the roots of the equation 5x^2=-17x-165x in simplest a+bi form?
josie and caitlin share sweets in the ratio 2:7 caitlin has 10 more sweets than josie how many sweets does caitlin have