Answers
Answer:
1. B) Figure B.
2. C) Figure C.
3. D) Figure D.
4. C) Figure C.
Step-by-step explanation:
Given: Radius of Circle A= 4
Radius of Circle B= 5
Radius of circle C= 6
Radius of circle D= 7
Now, finding circumference and area of all the circle.
We know, circumference of circle= [tex]2\pi r[/tex]
Area of circle= [tex]\pi r^{2}[/tex]
Where, r= radius of circle and π = 3.14
First, solving for figure A
Circumference= [tex]2\times 3.14\times 4= 25.12\ cm[/tex]
Area= [tex]3.14\times 4^{2} = 50.24\ cm^{2}[/tex]
Solving for Figure B
Circumference= [tex]2\times 3.14\times 6= 31.4\ cm[/tex]
Area= [tex]3.14\times 5^{2} = 78.5\ cm^{2}[/tex]
Solving for Figure C
Circumference= [tex]2\times 3.14\times 6= 37.68\ cm[/tex]
Area= [tex]3.14\times 6^{2} = 113.04\ cm^{2}[/tex]
Solving for Figure D
Circumference= [tex]2\times 3.14\times 7= 43.96\ cm[/tex]
Area= [tex]3.14\times 7^{2} = 153.86\ cm^{2}[/tex]
∴ 1. Answer is Figure B.
2. Answer is figure C.
3. Answer is Figure D
4. Answer is Figure C.
Related Questions
Which is the simplified form of r Superscript negative 7 Baseline + s Superscript negative 12?
StartFraction 1 Over r Superscript 7 Baseline s Superscript 12 EndFraction
Negative r Superscript 7 Baseline minus s Superscript 12
StartFraction r Superscript 7 Over s Superscript 12 EndFraction
StartFraction 1 Over r Superscript 7 Baseline EndFraction + StartFraction 1 Over s Superscript 12 EndFraction
Mark
Answers
Answer:
[tex] \frac{1}{ {r}^{7} } + \frac{1}{ {s}^{12} } [/tex]
Step-by-step explanation:
We want to simplify:
[tex] {r}^{ - 7} + {s}^{ - 12} [/tex]
Let us rewrite as positive index to get:
[tex]{r}^{ - 7} + {s}^{ - 12} = \frac{1}{ {r}^{7} } + \frac{1}{ {s}^{12} } [/tex]
We now find LCM to get:
[tex]{r}^{ - 7} + {s}^{ - 12} = \frac{ {r}^{7} + {s}^{12} }{ {r}^{7} {s}^{12} } [/tex]
Therefore the simplified form of the given expresion is:
[tex] \frac{ {r}^{7} + {s}^{12} }{ {r}^{7} {s}^{12} } [/tex]
But from the provide option, they only want us to rewrite as positive index without simplifying further
What is -4 divided by 2/5
Answers
Step by step:
-4 / 2/5
-4/1 x 5/2
-20/2 simplifies to -10
Answer:
-10
Step-by-step explanation:
multiply by the reciprocal
-4÷5/2
reduce the numbers with greatest common factor 2
-2 x 5
multiply the numbers
-10
There will be 25 party guests. 8
pieces of pizza dough come in a
package. How many packages do
I need to buy?
Answers
Which line is the graph of y = -2x + 2?
line a
line b
line c
line d
Answers
Answer:
The Answer is Line B
Step-by-step explanation:
the points that make up the graph is ( 0,2) and (1,0)
Answer:
Line B
Step-by-step explanation:
can someone please help? if can include working out
Answers
Answer:
Step-by-step explanation:
a. 5 x (c) = -35
Divide each side by 5, which is equal to -6. Remember, two negatives make a positive and one negative and one positive makes a negative.
c. 16/(x) = -4
What times what is equal to a positive 16? To solve, multiply x on both sides of the equation to get 16 = -4x then divide -4 on both sides. You'll get the answer -4. 16/-4 = -4.
e. x/(-3)= -9
Like c, multiply both sides by the denominator, so -3. You'll get x by itself for an equation like x = -9 x -3. Then multiply, remember two negatives equal a positive, so x = 27. 27/-3 = -9.
g. -5000 x y = -10,000
Divide -5000 on both sides to get the equation y = -10,000/-5000. Then solve. y= 2. -5000 x 2 = -10,000.
i. 243/x = -81
Mutiply both sides of the equation by x, so x cancels out. You'll end up getting the equation 243= -81x. Then divide both sides of the equation by -81. Now that we have 1 positive and 1 negative we know our answer has to be negative. The equation should look like 243/-81 = x, which is equal to x=-3. Thus, the answer is 243/(-3)= -81.
k. -92 x y= 184
Divide both sides by -92 to get x by itself. Then you'll get the equation y= 184/-92. y= -2 so, -92 x -2 = 184.
I need help on this:(
Answers
Answer:
Not to sure if this is correct but I think it is 6: 1 : 18
pls msg me if you need explanation
The function f(x) = 2x + 210 represents the number of calories burned when exercising, where x is the number of hours
spent exercising.
The function g(x) = 2x + 125 represents the calorie deficit that occurs when following a particular diet, where x is the
number of hours spent exercising.
What is (f + g)(2)? Explain.
A. 214 burned just exercise 2 hours
B. 214 burned exercise and
diet 2 hours
C. 343 burned dieting 2 hours
D. 343 burned exercise and diet 2 hours.
Answers
The true statement about (f + g)(2) is (D). 343 burned exercise and diet 2 hours.
The functions are given as:
f(x) = 2x+ 210
g(x) =2x + 125
Start by calculating (f + g)(x) using:
(f + g)(x) = f(x) + g(x)
So, we have:
[tex](f + g)(x) = 2x + 210 + 2x + 125[/tex]
This gives
[tex](f + g)(x) = 4x + 335[/tex]
When x = 2, we have:
[tex](f + g)(x) = 4*2 + 335[/tex]
[tex](f + g)(x) = 343[/tex]
This means that 343 calories were burned by exercising and dieting for 2 hours
Read more about composite functions at:
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Does 5 go into 100 equally
Answers
Omar made $299 for 13 hours of work.
At the same rate, how many hours would he have to work to make $253?
Answers
Answer:
The answer is (11 hours)
Step-by-step explanation:
I first divided 299 by 13 hours to find the rate.
I got the dividend of 23.
All you do now is add $23 per hour.
Once you add 11 hours of this rate. You'll get the sum of $253.
Solving for the amount of hours by cross multiplication
money/hours=money/hours
$299/13hours=$253/x hours
[tex]\frac{299}{13} =\frac{253}{x} \\\\23=\frac{253}{x} \\\\23x=253\\\\x=253/23\\\\x=11[/tex]
Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! I also hope you had a great Superbowl Weekend! :-)
- Cutiepatutie ☺❀❤
Tobias is making scones. The recipe calls for 2/3 cup of flour to make 6 scones. What is the unit rate for cups of flour per scone? For scones per cup of flour? Use pencil and paper. Show or describe at least two ways to find the unit rate for scones per cup of flour.
Answers
Answer:
A. 1/9 cup of flour per scone.
B. 9 scones per cup of flour.
Step-by-step explanation:
We're given that Tobias uses 2/3 cup of flour makes 6 scones.
A. The unit rate of cup of flour per scone will be the cup of flour used to make a particular number of scones divided by that number of scones. Mathematically,
U. R. = (cup of flour)/(number of scones)
U. R. = (2/3)/6= 2/(3 *6)
U. R. = 2/18 = 1/9 or 0.11 scones per cup of flour.
B. (i) Method 1
Following the same method we used in (A) above, we need to divide the number of scones by the cup of flour used to make said number of scones. Mathematically,
U. R. = (number of scones)/(cup of flour)
U. R. = 6/(2/3) = (6 * 3)/2
U. R. = (6 * 3)/2 = 18/2
U. R. = 9 scones per cup of flour.
(ii) Method 2
Let the number of scones that can be made with 1 cup of flour(Unit rate for number of scones per cup of flour) be x. Then:
2/3 cup of flour = 6 scones
1 cup of flour = x scones
By cross multiplying and solving:
x = (6 * 1) / (2/3)
x = (6 * 3) / 2
x = 18/2 = 9 scones per cup of flour.
The point P has coordinates (-4,1). In which quadrant does point P lie?
Answers
Answer: quadrant 2
Step-by-step explanation:
u first go to the left side because your x axis is a negative than u go up one positive and u are on quadrant 2
markdown $20 by [tex][/tex]7%
Answers
The final discounted price is $18.6
Step-by-step explanation:
In this problem we have to decrease the value of $20 by 7%.
First of all, we have to calculate the 7% of $20. We can do it as follows:
[tex]d=\frac{7}{100}\cdot 20 = 1.4[/tex]
This means that the 7% of $20 is 1.4$.
Now we want to decrease the original value by 7%, so we calculate the difference:
[tex]f=20 - d = 20-1.4=18.6[/tex]
So, the final discounted price is $18.6
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n(17+x)=34x-r solve for x
Answers
Answer:
[tex]x=\frac{-17n-r}{(n-34)}[/tex]
Step-by-step explanation:
Given:
[tex]n(17+x)=34x-r[/tex]
Taking the terms of x to one side.
[tex]17n+nx=34x-r\\[/tex]
[tex]nx-34x=-17n-r\\\\x(n-34)=-17n-r\\\\x=\frac{-17n-r}{(n-34)}[/tex]
The value of x is:
[tex]x=\frac{-17n-r}{(n-34)}[/tex]
Find the area of the hexagon.
A) 36 in2
B) 52 in2
C) 78 in2
D) 144 in2
Answers
Answer: C) 78 in2
Step-by-step explanation:
The polygon is divided into two trapezoids with equal measurements.
Area of a trapezoid:
1
2
(b1 + b2)h
Since the area of the hexagon equals the area of two trapezoids with equal measurements, do not multiply by 1/2.
(b1 + b2)h
(10 + 16)3
26(3)
78 in2
Answer:
Answer: C) 78 in2
Step-by-step explanation:
Solve the equation. Write solutions using integers or simplified fractions. 5−(y−3)=14−4(y+2)
Answers
of course the answer is Y=. - 2/3
Answer:
-2/3
Step-by-step explanation:
5 − (y−3)=14− 4 (y+2)
Expand
5 - y + 3 = 14 - 4y - 8
Collect like terms
-y + 4y = 14 - 8 - 5 -3
(-1 + 4)y = - 2
3y = -2
Divide both sides by 3
3y/3 = -2/3
y = -2/3
I hope this was helpful, Please mark as brainliest
On a coordinate plane, is translated 3 units up and 3 units to the right to create Line p is drawn through P and and Line q is drawn through Q and Which statement about Lines p and q is true?
Lines p and q are parallel.
Lines p and q are perpendicular.
Lines p and q have the same x-intercept.
Lines p and q have the same y-intercept.
Answers
Answer:
Lines p and q are parallel
Step-by-step explanation:
1) Completing the question:
On a coordinate plane, is translated 3 units up and 3 units to the right to create ′′. Line p is drawn through and ’, and Line is drawn through and ’. Which statement about Lines and is true?
2)
If PQ (x, y) according to that rule then P'Q' (x+3, y+3). So let's plot to answer the question. Setting numbers for,x and y.
3) As you can see below, since we add 3 units to the right and 3 units up then no x-coordinate must be the same, no y-coordinate must remain the same. In addition, p and q won't have the same intercept, neither x nor y.
what is y+7= -1/2 (x-6)
Answers
Answer:
Step-by-step explanation:
y + 7 = -1/2(x - 6)
y + 7 = -0.5x +3
y = -0.5x - 4
Answer:
y=-1/2x-4
Step-by-step explanation:
first distribute the -1/2 into both terms in the parentheses. next solve for y by subtracting 7 from both sides. combine like terms
Find the value of the expression 21 - 2a if a = 3
Answers
Answer:
15
Step-by-step explanation:
Substitute in the values
2 X 3 = 6
21 - 6 =15
To find the value of 21 - 2a when a = 3, substitute 3 for a and simplify to get 21 - 6, which equals 15.
Explanation:The student has asked to find the value of the expression 21 - 2a given that a = 3. To solve for the expression, substitute the value of a into the expression:
21 - 2(3) = 21 - 6 = 15.
Therefore, the value of the expression when a is 3 is 15.
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is 0.02 greater that 1/50
Answers
Answer:
No and yes.
Step-by-step explanation:
Turn both to percentages. Move the decimal point over two spots to the right, making 2%. Multiply the fraction by 2 to get 2/100. PerCENT. A dollar is 100 cents. The fraction as a percentage is 2%. They are equal.
Yes, 0.02 is greater than [tex]\( \frac{1}{50} \)[/tex].
Explanation:
0.02 can be represented as [tex]\( \frac{2}{100} \)[/tex], which simplifies to [tex]\( \frac{1}{50} \)[/tex].
Since [tex]\( \frac{2}{100} \)[/tex] is greater than [tex]\( \frac{1}{50} \)[/tex], it follows that 0.02 is greater than [tex]\( \frac{1}{50} \)[/tex].
Step-by-step explanation:
1. Convert 0.02 to a fraction: [tex]\( 0.02 = \frac{2}{100} \)[/tex].
2. Compare [tex]\( \frac{2}{100} \)[/tex] with [tex]\( \frac{1}{50} \)[/tex].
3. Simplify [tex]\( \frac{2}{100} \) to \( \frac{1}{50} \)[/tex].
4. Since [tex]\( \frac{1}{50} \)[/tex] is smaller than [tex]\( \frac{1}{50} \)[/tex], we conclude that 0.02 is greater than [tex]\( \frac{1}{50} \)[/tex].
I’m so confused geometry
Answers
x=50 and y=10
because of vertical angles: 3y=x-20
and we also have 3y+5x-100=180 , if we simplify we get 3y=280-5x
we can combine the two equations and get x-20=280-5x and when we solve we get x=50 degrees
then we can plug that into the first equation and get 3y=30, and y=10 degrees
Answer:
x = 50°
y = 10°
Step-by-step explanation:
The vertical angles theorem states that angles across from each other must be equal.
This means that:
3y = x - 20° or x = 3y + 20°
5x - 100° = y + 140°
Start with the second equation
5x - 100° = y + 140°
Add 100° to both sides of the equation
5x = y + 240°
Now, substitute the value of x found at the beginning into this equation
5(3y + 20°) = y + 240°
Multiply
15y + 100° = y + 240°
Subtract 100° from both sides of the equation
15y = y + 140°
Subtract y from both sides of the equation
14y = 140°
y = 10°
x = 3y + 20 = 3(10) + 20 = 30 + 20 = 50°
Hope this helps :)
Erica ate 5/8 of a sandwich. Sven ate 2/5 of a sandwich. Micah ate 3/4 of a sandwich. Gabe ate 6/12 of a sandwich. Who ate the most of his sandwich?
Answers
The answer is that Micah ate more of a sandwich because he is 1/4 from eating the whole thing.
Answer:
Micah ate the most of their sandwich.
Step-by-step explanation:
If you convert all of the fractions into a percentage,
Erica ate 62.5% of a sandwich
Sven ate 40% of a sandwich
Micah ate 75% of a sandwich
Gabe ate 50% of a sandwich
Micah ate the most of their sandwich.
For the function f(x) = 3(x - 1)2 + 2, identify the vertex, domain, and range. (2 points)
1) The vertex is (1, 2), the domain is all real numbers, and the range is y > 2.
2) The vertex is (1, 2), the domain is all real numbers, and the range is y s 2.
O3) The vertex is (-1, 2), the domain is all real numbers, and the range is y 2 2.
4) The vertex is (-1, 2), the domain is all real numbers, and the range is y s 2.
Answers
Answer:
2) The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2.
Step-by-step explanation:
Look at the photo below for the graph.
:)
How do you solve 12x -2/3 = 83 1/3
Answers
Answer:
4
Step-by-step explanation:
<=> 12x = 83 1/3 + 2/3
<=> 12x = 84
<=> x = 84/12
<=> x = 4
I'm solving for x, but I'm not confident with my work. I feel like x should be smaller than the other side (121) but I got a result much larger than it. Can someone help?
Answers
You have the ratios set up but you need to cross multiply everything:
(5x + 10) x 11 = 121 x 10
55x + 110 = 1210
Subtract 110 from both sides:
55x = 1100
Divide both sides by 55:
X = 1100 / 55
X = 20
Find the amount of air it would take to fill a basketball if the diameter of the ball is 12 inches
Answers
In order to find the amount of air to fill a basketball with a diameter of 12 inches, convert the diameter to a radius and then to metric units. Then, use the formula for the volume of a sphere (4/3 * π * r³) to calculate the volume.
Explanation:This is a problem relating to the volume of a sphere, based in Physics. Given the diameter of the ball (12 inches), we first convert this measure to the radius, which would be half of the diameter (6 inches). This can also be converted to the metric system for ease of calculation, where 1 inch equals roughly 2.54 cm, leading to 6 inches as approximately 15.24 cm.
To find the air required to fill up the ball, we apply the formula for the volume of a sphere (4/3)πr³. Plugging in the value of the radius we get, V = (4/3) * π * (15.24 cm)³. Solving this will get us the volume of air required to fill up the basketball.
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chevy have some yarn that he wants to use to make hats and scarves. each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn. chevy wants to make a total of 15 items. let h be the number of hats chevy makes and s be number of scarves he makes.
Answers
Answer:
[tex]The\ following\ system\ of\ equations\ gives\ number\ of\ hats\ and\ scarves\\\\h+s=15\\\\0.2h+0.1s=k\\\\Where\ k\ is\ total\ yarn\ in\ kg.\\\\If\ k=2\ kg\\\\h=5\ hats,\ s=10\ scarves[/tex]
Step-by-step explanation:
[tex]Number\ of\ hats=h\\\\Number\ of\ scarves=s[/tex]
Total Number of items:
[tex]Total\ items=15\\\\Total\ number\ of\ items=Number\ of\ hats+Number\ of\ scarves\\\\Total\ Number\ of\ items=h+s\\\\h+s=15.......................................eq(1)[/tex]
Total yarn used:
[tex]Yarn\ used\ in\ 1\ hat=0.2\ kg\\\\Yarn\ used\ in 1\ scarf=0.1\ kg\\\\Yarn\ used\ in\ hats=Yarn\ used\ in\ 1\ hat\times Number\ of\ hats\\\\Yarn\ used\ in\ hats=0.2\times h=0.2h\\\\Yarn\ used\ in\ scarves=Yarn\ used\ in\ 1\ scarf\times Number\ of\ scarves\\\\Yarn\ used\ in\ hats=0.1\times s=0.1s\\\\Total\ yarn\ used=0.2h+0.1s\\\\If\ total\ yarn=k\ kg\\\\Solution\ of\ following\ system\ of\ equations\ gives\ number\ of\ hats\ and\ scarves\\\\h+s=15\\\\0.2h+0.1s=k[/tex]
[tex]if\ k=2\\\\h+s=15...............eq(2)\\\\0.2h+0.1s=2.......eq(3)\\\\eq(2)-0.2\times eq(3)\\\\0.1s=1\\\\s=10\\\\From\ eq(2)\\\\h=15-s\\\\h=5\ hats[/tex]
The table shows the yearly earnings, in thousands of dollars, over a 10-year period for college graduates. Which statement is true about the distributions representing the yearly earnings?
a) The mean earnings of the self-employed are higher than the mean earnings of the wage earners.
b) The distribution of earnings for wage earners is more symmetric than the distribution of earnings for the self-employed.
c) The IQRs of the distributions are equal.
d) The standard deviations of the distributions are equal.
nvm its b :)
Answers
Answer:
Its B i just got it right
Step-by-step explanation:
The distribution of earnings for wage earners is more symmetric than the distribution of earnings for the self-employed.
What is IQR?IQR stands for Interquartile Range, which is a measure of variability or spread in a set of data. It is calculated by finding the difference between the first quartile (Q1) and the third quartile (Q3) of a data set.
Without the table, it is difficult to provide a definitive answer. However, based on the information given, we can make some general observations:
a) It is possible that the mean earnings of the self-employed are higher than the mean earnings of the wage earners, but this cannot be determined from the information given.
b) It is also impossible to determine which distribution is more symmetric without further information.
c) The statement about the IQRs is also impossible to verify without more information.
d) It is unlikely that the standard deviations of the distributions are equal, as the earnings of self-employed individuals are typically more variable than those of wage earners. However, this also cannot be determined without more information.
Thus, the correct statement can be The distribution of earnings for wage earners is more symmetric than the distribution of earnings for the self-employed.
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Use the figure. Identify a segment that intersects Ef.
Answers
Answer:
[tex]\overline{FG}[/tex]
Step-by-step explanation:
When two line segments intersects, then they have a common point.
From the diagram FG intersects EF
Also HG intersects EF
From the given options, the correct answer is [tex]\overline{FG}[/tex]
Therefore the first choice is correct
36 divided by 6a I’m confused plz help
Answers
Answer: 6
Step-by-step explanation:
Please help. There is a file included.
Answers
Answer:
0
Step-by-step explanation:
8 + - 4 - 4
(goes in the 2nd box)
0
(goes in the last empty box)