Answers
Answer:
1. 180 degrees
2. 4
3. 8π
4. 8:1
5. 12.5 feet
6. 3 revolutions
7. π/2
8. 64π
Step-by-step explanation:
1. For the first question, we are given that there are 120 degrees in 1/3 of a circle. This makes sense because a complete circle makes up 360 degrees (3*(1/3)). Two figure out how many more degrees there are in 5/6 circle, we first need to figure out how many degrees are in 1/6 of a circle and then 5/6 of a circle. If there are 120 degrees in 1/3 of a circle, there are 120/2 or 60 degrees in 1/6 of a circle (1/6 is half of 1/3). If we multiply this by 5 (because 1/5 * 5 = 5/6), we get that 5/6 of a circle is 60*5 or 300 degrees. That being said, the question is asking us how many more degrees there are in 5/6 circle than 1/3. We know that there are 120 degrees in 1/3 of a circle, so we can do 300 - 120 to figure out the answer, which comes out to be 180 degrees.
2. For the second question, we are given that the area of the circle is 4π. We know that the formula for the area of a circle is [tex]\pi r^{2}[/tex], which means the radius squared of the circle given is 4 (divide by π). If we take the square root of 4, we get the radius of our circle to be 2. Now, all we have to do is figure out the diameter. The radius is the distance between a point on the circle and the center. The diameter is just double this distance because it is the distance between one point on a circle and another point on the exact opposite side (the diameter line segment goes through the center). Since the radius is 2, the diameter has to be 4.
3. For the third question, we are given that the radius of a circle is 4 and we need to figure out the circumference (q). We know that the formula for the circumference of a circle is πd, or 2πr (r is the radius). We can plug the known radius into the equation and solve for the circumference. If we plug in r = 4, we get that the circumference (q) is 2(4)(π), or 8π.
4. For the fourth question, we are given that the radius of circle Q is 4 times the size of the diameter of circle R. We know that the diameter of any circle is just double the size of the radius. This means that, if the radius of circle Q is four times the diameter of circle R, the diameter of circle Q is 4(2) or 8 times the size of the diameter of circle R. This can be represented in ratio form as 8:1 (as in, if the diameter of circle R was 1, the diameter of circle Q would be 8, which is 8 times the size).
5. For the fifth question, the distance traveled in one revolution of a circle is the same as the circumference of the circle. You can imagine a circle and a point on it that is touching the ground. The circumference of this circle (the length of the circle) is the same as the distance traveled between the time the point touches the ground to the time it touches the ground again. Please feel free to let me know if this doesn't make sense. I will try to draw it out. Anyway, we are given the diameter of this wheel (4 feet), and we know that the circumference of a circle is π*d, so the circumference, in this case, would be 4π, which is approximately 12.5 feet.
6. For the sixth question, we just need to figure out the circumferences of the two wheels and compare them. If we go back to the fifth question, we know that the distance traveled by a wheel in one rotation is the same as its circumference. Let's say that the radius of the rear wheel is x. This means that the radius of the front wheel is 3x. The circumference of a circle is 2πr, which means the circumference of the front wheel is 6πx and the circumference of the rear wheel is 2πx. The circumference of the front wheel is 3 times the size of the rear wheel's circumference, which means that it will take 3 revolutions of the rear wheel to complete 1 revolution of the front wheel
7. For the seventh question, if AD is a half circle, that means the side of the square that connects A and D is the diameter of the circle. We know that this diameter is 2 because the length of each side of the square is 2. If the diameter is 2, that means the radius of the half-circle is half of that, or 1. The area of a circle is πr^2, so this circle has a radius of π (r^2 is 1). A half-circle has half of the area of a full circle, so the area of this half-circle would be π/2.
8. For question 8, we know that the circumference of circle A is 8π, and the circumference of any circle is 2πr. This means the radius of circle A is half of 8, or 4. We are given that the radius of circle B is twice the radius of circle A, which means the radius of circle B is 8. The area of a circle is πr^2, and r^2 for circle B is 8^2 or 64. Therefore, the area of circle B is 64π.
2. 4
3. 8pi
4. 8:1
5. 12.5 feet
6. 3 revolutions
7. Pi/2
8.64Pi
The guy above explained it pretty well
Related Questions
ANSWER FAST AND PLS EXPLAINN
(05.04 MC)
An image of a rectangular pyramid is shown below:
A right rectangular pyramid is shown.
Part A: A cross section of the rectangular pyramid is cut with a plane parallel to the base. What is the name of the shape created by the cross section? Explain your answer. (5 points)
Part B: If a cross section of the rectangular pyramid is cut perpendicular to the base, passing through the top vertex, what would be the shape of the resulting cross section? Explain your answer. (5 points)
Answers
Answer: A: SquareB: Triangle
Step-by-step explanation:
2 ACTIVITY: Estimating a Percents
Work with a partner. Use a model to estimate the answer to each question. b. 5 is what percent of 20?
Answers
Answer: 25%
Step-by-step explanation:
We know that 20 divided by 5 is 4, so 5 is one-fourth of 20 or 25%.
What is the Cost Price?
Cost price: $60 and Loss: 12 1/2%
Answers
Answer, 60 and Loss =12½. The selling price or the S.P. is Rs. 45.:
Step-by-step explanation:
20. Sofia paid $11.80 for a pen, a marker, and a binder. The marker cost $0.80 more than the pen. The binder cost 4 times as much as the marker. What was the cost of the pen?
Answers
Answer:
$1.30
Step-by-step explanation:
Let x = the cost of the pencil
Let x + .80 = the cost of the pen
Let 4(x + .80) = the cost of the binder
x + x + .80 + 4(x + .80) = 11.80
2x + .80 + 4x + 3.20 = 11.80
6x + 4.00 = 11.80
6x = 7.80
x = $1.30
x + .80 = $2.10
4(x + .80) = $8.40
Just did the problem and got it correct!
PLEASE HELP URGENT 10 POINTS
Answers
Explanation:since in none of the answers share the same the same X value and since the graph passes the vertical line test it is a function
8.25 The glass gauge on a cylindrical coffee maker shows there are 45 cups left when the coffee maker is 36% full. How many cups of coffee does it hold when it is full?
Answers
Answer:
125 cups
Step-by-step explanation:
36/100*x = 45
18/50*x = 45
18x = 2250
x = 125
Answer:
The amount of coffee the maker will hold when full be 125 cups.
Step-by-step explanation:
Given:
The glass gauge on a cylindrical coffee maker shows there are 45 cups left when the coffee maker is 36% full.To find:
Number of cups of coffee does it hold when it is full.The formula used to calculate percentage is: (value/total value)×100%.
Step 1 of 1
Let the amount of coffee the maker will hold when full be x.
Then given the glass gauge on a cylindrical coffee maker shows there are 45 cups left when the coffee maker is 36% full.
Which implies:
[tex]$$\begin{gathered}\frac{36}{100} \times x=45 \\0.36 x=45 \\x=\frac{45}{0.36} \\x=125\end{gathered}$$[/tex]
how many two-digit positive numbers are divisible by 3 or 5?
Answers
First you find the LCM which in this case happens to be 15 or 3*5. Then multiply 15 to the maximum number you can staying under a hundred. 15*6 = 90. The number fifteen was multiplied by is your answer
Answer:
it is one ez l ez ez ez ez bozo
18. The mass of a box with 20 similar bottles of cooking oil is 18.6 kg. The mass of the empty box is 1.4 kg. What is the mass of each bottle of oil in kilograms?
Answers
Step-by-step explanation:
Total mass = 18.6kgMass of empty box = 1.4kgno. of bottles = 20subtract the mass of the empty box from the total mass to get the mass of only the bottles: 18.6 - 1.4 = 17.2kgMass of the 20 bottles = 17.2kg To get the mass of each bottle, we divide the mass of the bottles by the number of bottles.therefore: 17.2 ÷ 20 = 0.86 kgTherefore the mass of each bottle = 0.86kg.Hope this helps.
Good luck ✅.
17.2/20 bottles=0.86 kg per bottle of oil
IM CONFUSED: A used car dealer has the following information for 2 months of sales:
Month 1: 239 cars sold
Month 2: 324 cars sold
Do we have an increase or a decrease in sales and what percentage?
Answers
Answer:
Rounds to about 135% increase.
Step-by-step explanation:
Increase/original number x 100
324 / 239 × 100. This rounds to about a 135% increase.
I'm not sure about the answer, just saying. So you might want to double-check the formula for percent change. Thank You.
To determine if there's an increase or a decrease in sales and the percentage change, we need to compare the number of cars sold in Month 2 with the number sold in Month 1.
Calculate the difference in sales:
Difference = Month 2 sales - Month 1 sales
Difference = 324 cars - 239 cars
Difference = 85 cars
To find the percentage change, use the following formula:
Percentage Change = (Difference / Initial Value) * 100
In this case, the initial value is the number of cars sold in Month 1 (239 cars).
Percentage Change = (85 cars / 239 cars) * 100
Percentage Change ≈ 35.56%
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what is the volume of a cone with a height of 10.5 inches and a radius of 8 inches
Answers
Answer: 703.72 inches^3
Step-by-step explanation:
Volume = pi * r^2 * h/3
= pi * 8^2 * 10.5/3
= 64 pi * 3.5
= 224 pi
= 703.72 inches^3
2. WHAT IF? A random sample of 8 speeding tickets issued in State C has a median of $120. Can you conclude that a speeding ticket in State C costs more than in States A and B? Explain.
Answers
no you cannot conclude that state c costs more than a and b because you do not know the value of state a and b
Answer:
no
Step-by-step explanation:
Can someone help me these 2 questions? PLS and ty!
I’ll give Brainliest if you explain how you solved this
25 points?
Answers
Answer:
y=60° b=60°
Step-by-step explanation:
the sum of all degrees of interior triangle is 180
in the first one, 30° and 90° have been given.(that small square represent 90°)
so 180°-90°-30°=60°
in the second one, the 120° is on the other side of a line, a line has a degree of 180, therefore the interior angle is 60°, the same rule 180°-2*60°=60°
Let's take this problem step-by-step:
Both problems involve triangles:
⇒ let's find out the sum of the interior angle w/ formula 180(n-2)
Total Interior Angle Sum of Triangle = 180(3-2) = 180
Let's solve the first problem (A)
⇒ we know the total interior angle sum is 180 degrees
⇒ we know that two of the angles are 30 degrees and 90 degrees
* any angle with a square on them is 90 degrees
⇒ therefore:
30 + 90 + y = 180
120 + y= 180
y = 60
Let's solve the second problem:
⇒ the angle opposite the exterior angle, 120 degrees, is on a flat line
with it
⇒ therefore it is 60 degrees
⇒ two angles on a flat line equal 180 degrees
⇒ two angles are therefore 60 degrees
⇒ therefore:
60 + 60 + y = 180
120 + y = 180
y = 60
Answer:
(A) y= 60(B) y =60Type the correct answer in each box.
Jenny’s mother is 5 years older than twice Jenny's age. The sum of their ages is 62 years. This is represented by the equation x + 2x + 5 = 62, where x is Jenny’s age.
Plug in the values from the set {12, 15, 18, 19} to find the value of x. The value that holds true for the equation is _____ . So, Jenny is _____ years old and her mother is ____ years old.
Answers
Hello !
12 :[tex]12 + 2 \times 12 + 5 = 41 \ne62[/tex]
15 :[tex]15 + 2 \times 15 + 5 = 50 \ne62[/tex]
18 :[tex]18 + 2 \times 18 \ + 5 = 59 \ne62[/tex]
19 :[tex]19 + 2 \times19 + 5 = 62[/tex]
The value that holds true for the equation is 19. So, Jenny is 19 years old and her mother is 43 years old.
Have a nice day ;)
A person uses about 315 calories to jog 3 miles. How many calories will be used in a 10 mile jog?
Answers
Step-by-step explanation:
315 calories for 3 miles.
315/3 = 105 calories for 1 mile
105×10 = 1050 calories for 10 miles
Answer:
Hello! The answer is 1050 calories.
Step-by-step explanation:
To calculate this, you have to find how many calories are used PER mile. To do this, you have to divide the total calories by the mileage:
315 ÷ 3 = 105
Now that you have the calories used per mile, you can find how many calories are used in a 10 mile jog:
105 × 10 = 1050 calories
Which of the following expressions are equivalent to 1/-7 x -6/5?
Choose ALL the answers that apply.
A. - 1/7 x 6/5
B. -6 x - 7/5
C. None of the above.
Answers
Answer:
C.
Step-by-step explanation:
1/-7 × -6/5 = 6/35
A. -1/7 × 6/5 = -6/35
B. -6 × -7/5 = 42/5
Answer: C.
C
None of the above
A person uses about 315 calories to jog 3 miles. How many calories will be used in a 10 mile jog?
Answers
Answer:
Step-by-step explanation:
315/3
3miles=315cal
1mile = 105cal
105*10=1050cal
315 divided by 3 = 105
105 x 10 = 1,050
There are 1 1/2 pounds of bricks in a bag. Each brick weighs 3/4 of a pound. How many bricks are in the bag?\\
Answers
Answer:
ok so each brick is 3/4 of a pound so we wont to know how many times 3/4 goes into 1 1/2
so lets just count up 3/4
3/4 =1
1 1/2=2
so 2 times
Hope This Helps!!!
Answer:
There are 2 bricks in the bag.
Step-by-step explanation:
Let n represent the number of bricks in the bag. Then:
(3/4 lb)n = 1 1/2 lb total; find n by dividing both sides by (3/4 lb)/brick:
1 1/2 lb
n = --------------------- = 2 bricks
3/4 lb/brick
There are 2 bricks in the bag.
2 ACTIVITY: Estimating a Percents
Work with a partner. Use a model to estimate the answer to each question. e. 75 is what percent of 50?
Answers
Answer:
75 is 150% of 50!
Which of the following expressions are equivalent to -1/2 x (4x5)
Choose all that apply.
A. -4 x (1/2 x 5)
B. 1/2 x (-4 x 5)
C. None of the above
please help!!!
Answers
Answer:
I might be wrong but I think the answer is that A and B are equivalent to -1/2 x (4x5)
Step-by-step explanation:
math
7.23. A freight train travels 1 mile in 1 minute 30 seconds. At this rate, how many miles will the train travel in 1 hour?
Answers
Answer:
40 miles in 60 minutes
Step-by-step explanation:
1 hour has 60 minutes, and since the freight train travels 1 mile in 1.5 minutes, it can be said that the train travels 2 miles in 3 minutes (assuming a constant rate). This becomes a problem of equal ratios:
[tex]\frac{2}{3}=\frac{x}{60}[/tex] , where the numerator refers to distance, and the denominator refers to the time
After cross multiplication, we find that 3x = 120, or x = 40.
Therefore, it takes 1 hour for the train to travel 40 miles
Answer:
The number of miles will the train travel in 1 hour is 40 miles.
Step-by-step explanation:
Given:
A freight train travels 1 mile in 1 minute 30 seconds.
Find:
The number of miles that the train will travel in 1 hour
Step 1 of 1
One minute 30 seconds is [tex]$\frac{3}{2}$[/tex] minutes, so the train's speed is
[tex]$$\begin{aligned}\text { spced } &=\frac{1 \text { miles }}{\frac{3}{2} \text { minutes }} \\&=\frac{2}{3} \frac{\text { miles }}{\text { minute }}\end{aligned}$$[/tex]
There are 60 minutes in an hour, so the distance traveled in 60 minutes is distance [tex]=(60$ minutes $) \cdot\left(\frac{2}{3} \frac{\text { miles }}{\text { minute }}\right)$[/tex]
=40 miles.
Simplify the expression. (Section 3.1) 48. 2y - 5(y - 3)
Answers
Answer:
-3y+15
Step-by-step explanation:
2y - 5(y - 3)
To simplify, the first step is to distribute the -5
2y - 5y +15
Combine like terms
-3y+15
Answer: 15-3y
Step-by-step explanation:
Using the distributive property, we have:
2y-5y+15
simplifying gets us:
15-3y.
HEEEEELLLLPPPP 3 PLEAASSEEE
Answers
Step-by-step explanation:
1. Vertical Line Test: By definition a function can only output 1 value for each unique input. So if I were to put a vertical line on a graph it should only intersect one point, if it intersects two, that would mean there is 2 outputs for 1 input, so it's not a function
2: Term
3: Sequence: I don't really know how to explain this besides it's literally the definition
4: Relation: This can also be a function, but it it doesn't pass the vertical line test, it's just a relation
5: Solution: A solution to an equation is just what value makes an equation true (both sides equal)
6: Variable: The value varies, it can be anything, depending on what the equation is, so for example y=mx+b, the value of y varies depending on the value of x (and also m and b obviously, but those are constants)
A developer has 3 plats of land. One was 39 acres, another was 37 acres, and another of 49 acres. How many 1/4 acre lots did he have? If each lot sold for $2000.00 how much did he sell all the lots for? (Giving out 20 points)
Answers
The number of 1/4 lots in 3 plots of land is 500 and the total amount obtained after selling the lots will be equal to $1,000,000.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
Total number of plats of land = 3
First plat = 39 acres.
The number of 1/4 acres in the first plat will be,
39 × 4 = 156
Second plat = 37 acres
The number of 1/4 lots in the second plat will be,
37 × 4 = 148
Third plat = 49 acres
The number of 1/4 lots in the third plat will be,
49 × 4 = 196
Then, the total number of 1/4 acres lots will be,
156 + 148 + 196
= 500 lots
Price of each lot = $2000
Then, the price of 500 lots will be,
$2000 × 500
= $1,000,000
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PLS ANSWER THIS QUESTION- this is 8th grade math
Answers
9. You want to compare the average amounts of time students in sixth, seventh, and eighth grade spend on homework each week.
b. Perform the experiment. Can you make a conclusion about which students spend the most time on homework? Explain your reasoning.
Answers
Answer:
if you compare the average of the 3 grades the one with the highest average would be the grade who spends the most time on homework.
Step-by-step explanation:
Josh is 72 inches tall. Ruben is 9/10 as tall as josh. John is 11/12 tall as ruben. a. what is rubens height in inches b. what fractional of of joshs height is johns?
Answers
Answer:
A. Ruben's height- 64.8 inches
B. John's height- 3/4 of Josh's height
Step-by-step explanation:
A. Since Ruben's height is 9/10ths of Josh's, and Josh's is 72 inches, we can find 90% of Josh's height which is 72, therefore giving us 64.8 inches.
B. Now take John's height of being 11/12th as being tall as Ruben, we can enter 11/12th of 64.8 which would give us about 54 inches. Finally, taking John's height of 54 inches, we would divide it with Josh's height of 72 inches. Hence, 54/72=3/4 as a fraction.
B. 33/40 is the fractional part of johns height to Josh’s
Can someone help me answer this?
50 points if answered
Will give Brainliest if you explain how you got the answer
Answers
Answer:
D. 1/3
Explanation:
[tex]\sf A : \dfrac{2}{9}[/tex]
[tex]\sf C : \dfrac{7}{18}[/tex]
Calculate distance between A and C
[tex]\Longrightarrow \sf \dfrac{7}{18} - \dfrac{2}{9} = \dfrac{1}{6}[/tex]
There are 6 intervals between A to C
[tex]\sf \Longrightarrow each \ interval : \dfrac{1}{6} \div 6 = \dfrac{1}{36}[/tex]
Point B mark from A, there are 4 intervals:
[tex]\sf \Longrightarrow \dfrac{2}{9} + 4 \times \dfrac{1}{36} = \dfrac{1}{3}[/tex]
Or, Point B mark from C, there are 2 intervals:
[tex]\sf \Longrightarrow \dfrac{7}{18} - 2 \times \dfrac{1}{36} =\dfrac{1}{3}[/tex]
7.33. Tom can paint Mr. Thatcher's fence in 6 hours, while Huck can paint Mr. Thatcher's fence in 5 hours. If they work together, then how long will it take them to paint the fence?
Answers
Answer:
It takes them 30/11 hours to paint them together.
Step-by-step explanation:
This is known as a work problem (rate * time = work). We are given the individual times for Tom and Huck (6 hours and 5 hours respectively). However, we are not given the rates at which they can paint the fence. Since we know that the total work that they both do individually is 1 (there is 1 job to do), we can calculate the rates at which Tom and Huck paint the fence on their own:
[tex]Tom: R_{T}*6=1\\Huck: R_{H}*5=1[/tex]
We can isolate R{t} and R{h} to find the rates at which Tom and Huck work:
[tex]Tom: R_{T}=\frac{1}{6}\\Huck: R_{H}=\frac{1}{5}[/tex]
Now, we can calculate the time it takes for Tom and Huck to work together using the same formula (the combined rate is just the sum of Tom and Huck's individual rates):
[tex](\frac{1}{6} +\frac{1}{5})*T=1\\\\T*(11/30)=1 , T = 30/11[/tex]
Therefore, the time it takes them to paint the fence together is 30/11 Hours
Answer:
The number of hours it will take them to paint the fence is 2.7 hours.
Step-by-step explanation:
Given:
Tom can paint Mr. Thatcher's fence in 6 hours, while Huck can paint Mr. Thatcher's fence in 5 hours.
Find:
the number of hours it will take them to paint the fence
Step 1 of 1
Determine their work rates, and then add them.
In particular, Tom can paint [tex]$\frac{1}{6}$[/tex] of a fence per hour, and Huck can paint [tex]$\frac{1}{5}$[/tex] of a fence per hour.
So, together they can paint [tex]$\frac{1}{6}+\frac{1}{5}=\frac{11}{30}$[/tex] of a fence per hour. Therefore, the time to paint the whole fence is [tex]$\frac{1 \text { fence }}{\frac{11}{30} \text { fences per hour }}=\frac{30}{11}$[/tex] hours
[tex]$=2 \frac{8}{11} \text { hours, }$$[/tex] or a little over 2.7 hours.
There are 3 times as many females as males on the maths course at university. What fraction of the course are male?
Give your answer in its simplest form.
Answers
Answer:
1/4
Step-by-step explanation:
3*1 "female" parts and 1 "male" part
3+1=4
Males : 1/4
Answer:
1/4
Step-by-step explanation:
(x + 3x = 4x)
x = male
3x = female
Therefore add both and get 4x.
So male is 1 out of 4 or 1/4
What is 280.0575 as a fraction
Answers
Answer...
[tex]280\frac{23}{400}[/tex]
Steps....
1) Rewrite the decimal number as a fraction with 1 in the denominator
2) Multiply to remove 4 decimal places. Here, you multiply top and bottom by [tex]10^{4}[/tex] = 10000
3) Find the Greatest Common Factor (GCF) of 2800575 and 10000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 25
4) Simplify the improper fraction!