Answer:
[tex]\frac{72}{96} =\frac{36}{48}=\frac{18}{24} =\frac{9}{12} =\frac{3}{4}[/tex]
Step-by-step explanation:
All are correct, but only the first is unmodified, and probably the one you want to use.
72 is out of the number, so it is on top.
The number is out of 96, so it is on the bottom.
Round your answer to the nearest whole. use Pie as 3.14
Find the volume of a cylinder with a radius of 3 cm and a height of 11 cm.
Write an algebraic expression that represents A less than 27.
Answer:
A=26
Step-by-step explanation:
well, A is less than 27 so A could be 26?
Write an equation for the line that has a slope of 1/2 and passes through the point (-2,5)
Answer:
y=0.5x+6
Step-by-step explanation:
6 is the y-intercept because you go up 1 over 2.
Answer: The equation of line is [tex]2y - x - 12 = 0[/tex]
Step-by-step explanation:
The formula for finding the equation of a line when slope and a point is gives is :
[tex]y-y_{1}=m(x-x_{1})[/tex]
[tex]x_{1}=-2[/tex]
[tex]y_{1}=5[/tex]
[tex]m = 1/2[/tex]
substituting into the formula , we have :
[tex]y - 5 = 1/2 ( x-(-2) )[/tex]
multiply through by 2 , we have
[tex]2(y-5) = 1(x+2)[/tex]
[tex]2y - 10 = x + 2[/tex]
[tex]2y - x - 10 - 2 = 0[/tex]
[tex]2y - x - 12 = 0[/tex]
Therefore : the equation of line is [tex]2y - x - 12 = 0[/tex]
What is the measure of angle c In degrees?
Answer:
64⁰
Step-by-step explanation:
By angle sum property :
A + B + C = 180⁰
C = 180 - 73 - 43
C = 180 - 116
C = 64⁰
Prove that cos²(A-B)-sin²(A+B)=cos2Acos2B
Answer:
see below
Step-by-step explanation:
Prove : cos²(A-B)-sin²(A+B)=cos2Acos2B
LHS,
cos²(A-B) - sin²(A+B) (expand using double angle identities)
= [tex]\frac{1 + cos [2(A-B)]}{2} - \frac{1 - cos [2(A+B)]}{2}[/tex]
= [tex]\frac{1}{2} + \frac{1}{2} cos[2(A-B)] - \frac{1}{2} + \frac{1}{2} cos[2(A+B)][/tex]
= [tex]\frac{1}{2} cos[2(A-B)] + \frac{1}{2} cos[2(A+B)][/tex]
= [tex]\frac{1}{2} cos(2A-2B) + \frac{1}{2} cos(2A+2B)[/tex] (expand using sum/difference identities)
= [tex]\frac{1}{2} (cos2Acos2B + sin2Asin2B ) + \frac{1}{2} (cos2Acos2B - sin2Asin2B )[/tex]
= [tex]\frac{1}{2} cos2Acos2B + \frac{1}{2}sin2Asin2B + \frac{1}{2} cos2Acos2B - \frac{1}{2}sin2Asin2B[/tex]
= [tex]\frac{1}{2} cos2Acos2B + \frac{1}{2} cos2Acos2B[/tex]
= [tex]cos2Acos2B[/tex] (= RHS , Proven)
Valeria opened her first bank account at Wells Fargo. she has 80 but she plans to withdraw $5 a week
what is the x?
Equation?
y?
Slope(m)?
Answer:
x/5=80
Step-by-step explanation:
x=how many months it takes to get all the money out hope it is right or you can google it if not
Solve this equation.
3.5(2.25 + x) = 14
Answer:
1.75
Step-by-step explanation:
Use the distributive property first.
(3.5 x 2.25) (3.5 x X) = 14
7.875 + 3.5x = 14 Now subtract 7.875 from both sides
3.5x = 6.125 Now divide 3.5 by both sides
x = 1.75
The equation 3.5(2.25 + x) = 14 is solved by first distributing 3.5 through the parentheses, then isolating x on one side, yielding a result of x = 1.75.
Explanation:In this mathematical equation, the first step is to distribute 3.5 to (2.25 + x). The result is 7.875 + 3.5x = 14. We then subtract 7.875 from both sides to isolate the term with x which gives 3.5x = 6.125. Finally, to solve for x, we divide both sides by 3.5. This gives us x = 1.75.
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(02.04 LC)
What is the equation of a line that contains the points (5,0) and (5,-2)?
x = 5
Ox=0
Oy=0
Oy=5
Answer:
oy=5
Step-by-step explanation:
t golf DJ o frick vet gn hf hi
Explore the properties of inscribed angles
by following these steps.
1. Move point C and observe how the
angle measures change.
When AC changes,
m ZABC and m ZADC____
and are _____
to each other.
Answer:they change and are always equal to each other
part 2. they do not change
part 3. 1/2
i just did it on edge 2020
When AC changes, angles ABC and ADC are also changes and are equal to each other.
Inscribed angle :An inscribed angle is an angle whose vertex is on a circle and whose sides contain chords of a circle.
This is different than the central angle, whose vertex is at the center of a circle.
From given figure, It is observed When AC changes, angles ABC and ADC are also change but equal to each other.
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Daniel can eat 15 bowls of Cinnamon Toast Crunch in 60 minutes what is the speed of his cereal eating?
Answer:
0.25 (1/4) bowls a minute.
Step-by-step explanation:
If you divide 15 by 60, you get 0.25 (1/4) and then you just add your labels which is bowls a minute.
Which equation represents the line
3x - 2y = -8 in slope-intercept
form?
Answer:
The slope -intercept form of the equation is;
y = [tex]\frac{3}{2}[/tex] x + 4
Step-by-step explanation:
The slope-intercept form of an equation is;
y = mx + c
where m is the slope and c represent the intercept
To represent the equation given; 3x - 2y = -8 in its slope intercept form, we will follow the steps below:
3x - 2y = -8
subtract 3x from both-side of the equation
3x - 3x -2y = -3x - 8
-2y = -3x -8
Divide throught the equation by -2
-2y/-2 =-3x/-2 -8/-2
y = [tex]\frac{3}{2}[/tex] x + 4
The slope -intercept form of the equation is;
y = [tex]\frac{3}{2}[/tex] x + 4
There are 3 less than twice as many cats than dogs in the local animal shelter. If there are 210 cats and
dogs combined, how many dogs are in the animal shelter?
There are 71 dogs in the local animal shelter.
To determine the number of dogs and cats in the shelter, let's denote the number of dogs by D and the number of cats by C. According to the problem statement, there are twice as many cats as dogs, minus three. Mathematically, this is represented as C = 2D - 3. We also know that the combined total of cats and dogs is 210, which can be expressed as C + D = 210. To find the number of dogs, we can solve these two equations simultaneously.
From the first equation, we solve for C in terms of D: C = 2D - 3.
Substitute C into the second equation: (2D - 3) + D = 210.
Combine like terms: 3D - 3 = 210.
Add 3 to both sides of the equation: 3D = 213.
Divide both sides by 3 to solve for D: D = 71.
Therefore, there are 71 dogs in the local animal shelter.
Quadrilateral PQRSis graphed in the coordinate plane.
To the nearest tenth, what is the perimeter of quadrilateral PQRS?
Answer:
33.6
Step-by-step explanation:
As we can see in the graph, the points:
P is located at (-2, 8)Q is located at ( 6, 8) R( is located at (6, 2) S is located at (-5, 0)To find a distance between two points or the length of the segment, we use the following formula:
[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
Because the two points P and Q are located at the same libe y = 8
=> the lenght of PQ = [tex]\sqrt{(6- (-2))^{2} } = \sqrt{8^{2} } = 8\\[/tex]
Because the two points R and Q are located at the same libe x = 6
=> the length of RQ = [tex]\sqrt{(8-2)^{2} } = \sqrt{6^{2} } = 6\\[/tex]
The lenght of RS is: [tex]\sqrt{(-5-6)^2+(0-2)^2} = \sqrt{-11^{2} +(-2)^{2} }[/tex] = [tex]\sqrt{125} = 11.1[/tex]
The lenght of SP is: [tex]\sqrt{(-5-(-2))^2+(0-8)^2} = \sqrt{-3^{2} +(-8)^{2} } = \sqrt{73}[/tex] = 8.5
=> the perimeter of quadrilateral PQRS = PQ+RQ+RS+SP
= 8+6+11.1+8.5
= 33.6
Answer:33.7
Step-by-step explanation:
8+8.5+6+11.2=33.7
What is the length of AB?
А. 8
В. 2
С. 6
D. 4
Answer:
C
Step-by-step explanation:
63° =63°
CB = AB
3x = 4x - 2
Answer:
Answer C is correct
=6
Step-by-step explanation:
[tex]3x = 4x - 2 \\ 2 = 4x - 3x \\ 2 = x \\ \\ ab \: \: \: length = 3x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \times 2 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6[/tex]
Plz help me out ASAP
Answer:
68
Step-by-step explanation:
cos22=sinx
sin^-1(cos22)=x
x= 68
Find one value of x that is a solution to the equation (x^2+3)^2=4x^2+12
Answer:
[tex] {( {x}^{2} + 3) }^{2} = {4x}^{2} + 12[/tex]
[tex] \bf \purple{ {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} } [/tex]
[tex] {( {x}^{2}) }^{2} + 2({x)}^{2} (3) + {(3)}^{2} = {4x}^{2} + 12[/tex]
[tex] {x}^{4} + {6x}^{2} + 9 = {4x}^{2} + 12[/tex]
[tex] {x}^{4} = {4x}^{2} - {6x}^{2} + 12 - 9 [/tex]
[tex] {x}^{4} = { - 2x}^{2} + 3[/tex]
[tex]( {x}^{2} \times {x}^{2}) = { - 2x}^{2} + 3[/tex]
[tex]2 \times {x}^{2} = { - 2x}^{2} + 3[/tex]
[tex] = \frac{ { - 2x}^{2} + 3 }{ {2x}^{2} } [/tex]
[tex] = 3[/tex]
HELPPP PLEASE❗️❗️❗️❗️
Answer:
33
Step-by-step explanation:
You find the measure of B, which is 180 - (93 + 58) = 29 degrees
You use the law of sines which is 16/sin(29) = (BC)/sin(93)
You multiply both sides by sin(93) and get:
sin(93)*16/sin(29) = BC
You plug this into a calculator and get:
32.9574164555, which is approx. 33
Question 1
Create a circle with center A and a radius of your choice. Create a point B on the circle, and find the coordinates of B. Draw the radius AB. What is
the slope-intercept form (y = mx + b) of the equation of AB? Show your work.
Answer: I couldn't find the answer but I did find the formula? Sorry if this doesn't help much :(
Update:
Center at (-3,0)
Radius = 1
Step-by-step explanation:
(x-x1)^2 + (y-y1)^2 = r^2
(x-x2)^2 + (y-y2)^2 = r^2
Answer:
If point A = (4,4) and B = (8,7)
The slope of M would be 3/4.
Step-by-step explanation:
m = y^2 - y^1/x^2 - x^1 = 7 - 4/ 8 - 4 = 3/4. m = 3/4.
y = mx + b
y = 3/4 x + b
4 = (3/4)(4) + b
b = 4 - 3 = 1
The equation of line AB is y = 3/4 x + 1.
I hope this helps and that it is easy to understand and read! :)
Which expressions are equivalent to 4(9b+6)?
Answer:
4(9b+6) is equivalent to 4 x (9 x b + 6)
A cylinder with height 10 inches and radius 4 inches is filled with water. The water is poured into a bowl
(hemisphere) with radius 5 inches. Sketch a cylinder and a hemisphere with dimensions labeled. If all the water
will fit, tell how much empty space remains in the bowl. If all the water will not fit, tell how much water is left in
the cylinder. (leave your answer in terms of pi)
Answer:
Volume of water left in the cylinder=[tex]76\frac{2}{3}\pi \:in^3[/tex]
Step-by-step explanation:
Height of the Cylinder=10 inches
Radius of the cylinder=4 Inches
Volume of the Cylinder
[tex]=\pi r^2h\\=4^2*10\pi\\=160\pi\:in^3[/tex]
Radius of the Hemisphere=5 Inches
[tex]\text{Volume of a Hemisphere}=\frac{2}{3}\pi r^3\\ =\frac{2}{3}\pi *5^3\\=\frac{250\pi}{3} in^3[/tex]
Since the Volume of the cylinder is greater than the Volume of the bowl, all the water will not fit.
[tex]\text{Therefore: volume of water left} =160\pi-\frac{250\pi}{3}\\=76\frac{2}{3}\pi \:in^3[/tex]
Sally paid the following bills rent $450.00 cell phone $37.50 and cable $69.99 how much money did she pay ?
Answer:
557.49
Step-by-step explanation:
Add the three bills together
450.00
37.50
69.99
--------------
557.49
What is 6h-15 when h = 3
Answer:
H=3
Step-by-step explanation:
1. 6(3)-15
2.18-15
3. 3
4. Brainliest please
Angle 1 is 100 degrees. What is the measure of angle 3?
Answer:
Angle 3 is also 100
Step-by-step explanation:
They are vertical angles and vertical angles are always congruent.
The angle 3 is in the given figure is ∠3 = 100°.
What are parallel lines?
The parallel lines are a group of straight lines that never intersect with one another. The distance between two parallel is always the same.
The measure of angle 1 is given as ∠1 = 100°.
When two lines intersect each other, the pair of vertically opposite angles are equal.
Since, angle 1 and angle 3 are vertically opposite, they are equal.
Thus, ∠3 = 100°.
Hence, the measure of angle 3 is 100°.
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Antoine is designing a new, cylindrical drinking glass. If the glass has a diameter of 8 centimeters and a height of 12.8, what is it’s volume? Round to the nearest tenth
Answer:
643.4
Step-by-step explanation:
Answer:
The answer is: 643.4
Step-by-step explanation:
What is the area of the triangle? 11 14 4
Answer:
616
Step-by-step explanation:
A cash register contains $10 bills and $100 bills with a total value of $2010. If there are 30 bills total, then how many of each does the register contain? $10 bills
Answer:
there will be 19 $100 bills
and 11 $10 bills
Step-by-step explanation:
[tex]100*19=1900\\10*11=110\\1900+110=2010[/tex]
Answer:
11
Step-by-step explanation:
Let x be how many $10 bills there are.
Let y be how many $100 bills there are
x + y = 30
x = 30 - y
10x + 100y = 2010
10(30 - y) + 100y = 2010
300 - 10y + 100y = 2010
-10y + 100y = 2010 - 300
90y = 1710
y = 1710 / 90
y = 19
x = 30 - 19
x = 11
Combine like terms to create an eq
3.26d + 9.75d - 2.65
Answer:
13.01d-2.65
Step-by-step explanation:
Since there r numbers with the variable d, combine them.
luna had $50 when she got to the carnival. After riding 12 rides she had $26 left. What was the price of each ride? Which equation can be used to represent this situation?
26 - 12p = 50
50 + 12p = 26
12p - 50 =26
50 - 12p = 26
What is the slope of the line that passes through the points (–9, 2) and (0, 4)?
Answer:
2/9
Step-by-step explanation:
Slope = y2- y1/x2 - x1
Given
x1 = -9
y1 = 2
x2 = 0
y2 = 4
Therefore
Slope = 4 - 2 /0 -(-9)
= 4 - 2/0 + 9
= 2/9
Answer:
2/9 is correct, or just .22
Step-by-step explanation:
Use the formula [tex]\frac{x^2 - x^1}{y^2 - y^1} = \frac{rise}{run} = \frac{-9 - 0}{2 -4}[/tex]
However, the variables, are not squared, that is meant to be subscript :D
Ethan will subtract a 3-digit number
from 920. He says the difference could be a 1-digit
number, a 2-digit number, or a 3-digit numbens
Write three subtraction equations that show each
difference. Be sure you start with 920 and subtract a
3-digit number each time
Subtracting smaller 3-digit numbers from 920 results in 3-digit answers, subtracting larger 3-digit numbers gives 2-digit answers, and subtracting even larger 3-digit numbers results in 1-digit answers. Examples include: 920 - 120 = 800, 920 - 825 = 95, and 920 - 915 = 5.
Explanation:This question involves simple subtraction operations. Here are three subtraction equations that meet the conditions:
For a 3-digit result: 920 - 120 = 800. Here, subtracting a 3-digit number (120) from our original number (920) results in a 3-digit number (800). For a 2-digit result: 920 - 825 = 95. In this case, subtracting a bigger 3-digit number (825) leaves us with a 2-digit number (95). For a 1-digit result: 920 - 915 = 5. Subtraction of an even larger 3-digit number (915) results in a 1-digit number (5).
As we increase the 3-digit number that we subtract from 920, the result decreases in the number of digits,
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To subtract 3 digit numbers from 920 and end up with a 1-digit, 2-digit or 3-digit number, the following equations are provided: 920 - 911 = 9, 920 - 815 = 105 and 920 - 100 = 820.
Explanation:To find three subtraction equations that show the difference when subtracting a 3-digit number from 920, we need to consider all possible scenarios for the difference.
The smallest possible difference would be a 1-digit number.
To get a 1-digit number, 2-digit number, or a 3-digit number as the result while subtracting a 3-digit number from 920, here are three equations:
• The smallest possible difference would be a 1-digit number. 920 - 911 = 9
• The next possible difference would be a 2-digit number. 920 - 815 = 105
• The largest possible difference would be a 3-digit number. 920 - 100 = 820
In each equation, we started with 920 and subtracted a 3-digit number. Given that the numbers we subtract are less than 920, it becomes possible to get a 1-digit, 2-digit, or 3-digit result.
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