A piece of land is in the shape of a sector. Its area is 900 sq ft, while its arc length is 30 ft. What is the measure of the angle between the two radii of the sector?
Answers
Answer:
C= 2 radians.
Step-by-step explanation
Length of arc = r C where r = the radius and C is the angle in radians.
Area of the sector = 1/2 r^2 C
So we have:
30 = rC and
900 = 1/2 r^2 C
From the first equation we have r = 30/C so substituting for r:
900 = 1/2 (30/C)^2 * C
900 = 0.50 (900/C^2) * C
900 = 450/C
C= 2 radians.
Related Questions
please help me standard form!!!!!! im helping my sis shes in 5th grade
Answers
Answer:
6.007
Step-by-step explanation:
Answer
There is two answers lol
700.0001
600.0001
What is the distance between3,3 and 6,3
Answers
Answer:
They are three units apart.
Step-by-step explanation:
6-3=3
Answer:3
Maxwell invested a total of $100,000. He invested his money in three different accounts. He invested $35,000 at 10% annual interest rate, $42,000 at 8% annual rate, and the remainder at 14% interest rate. How much interest did Maxwell receive in one year?
Answers
Step-by-step explanation:
Sure! Here's the step-by-step calculation:
1. Calculate the interest earned on the first investment:
$35,000 * 10% = $3,500
2. Calculate the interest earned on the second investment:
$42,000 * 8% = $3,360
3. Calculate the amount invested in the third account:
Total investment - (First investment + Second investment)
$100,000 - ($35,000 + $42,000) = $23,000
4. Calculate the interest earned on the third investment:
$23,000 * 14% = $3,220
5. Add up the interest earned from all three investments:
$3,500 + $3,360 + $3,220 = $10,080
Therefore, Maxwell received $10,080 in interest in one year.
Based on the figure below, what is the value of x? (5 points)
A right angle is shown divided in two parts. The measure of the angle of one part is 50 degrees and the measure of the other part is 5x plus 15 degrees.
a 5
b 7
c 11
d 15
Answers
Answer: a. 5
Since the angle is right, we know it is equal to 90 degrees.
Using the information provided, we can set up an equation.
50 + 5x + 15 = 90
Simplifying the equation, we get:
5x + 65 = 90
Subtracting 65 from both sides, we get:
5x = 25
Dividing both sides by 5, we get:
x = 5
PLEASE HELP!! THANK YOUUA
Answers
Answer:
13/8 in
Step-by-step explanation:
1) Since you know that there are 2 sticks with a length of 1/8 in, 3 sticks with a length of 2/8 in, and 1 stick with the length of 5/8 in, we need to add them together.
2) They have the same denominator, so we can add the fractions together easily. 1/8+1/8+2/8+2/8+2/8+5/8=13/8
Select True or False for the equations.
Equation True False
−102=10−2=5
True – − 10 2 = 10 −2 =5
False – − 10 2 = 10 −2 =5
102=−10−2=5
True – 10 2 = −10 −2 =5
False – 10 2 = −10 −2 =5
Answers
Answer:
10-2=8
Step-by-step explanation:
Answer:
False 10-2=5
Step-by-step explanation:
Please help me with this question also
Answers
Answer:
84 and £621.6
Step-by-step explanation:
What is the Constant of Proportionality (k)?
Remember.... k = y/x
Write an equation to show the proportional relationship between x and y.
Group of answer choices
y = 2x
y = 7x
y = 1/2x
y = 1/7x
Answers
pls hlp!!
read the bottom and answer
Answers
m=52h
52 is the miles/hour, and you’re going for 4 hours, which is 208 miles.
Answer:
52
Step-by-step explanation:
M=52
brain liest for who ever does all :// im annoyed at the pathetic kids who keep wasting my points so i will give brain liest for who ever does only alll :DD
Answers
Answer:
1. false
2.the reason it is False is because Jamiere ploted the numbers wrong.
3.(what are the drop-down choices?) answer: -4
4.-5 -2 +3= -4
Sorry if some are wrong hope you ace it! (:
Tommy can exchange 8 euros for 11 dollars.At this rate, how many dollars can Tommy get with 12 euros?
Answers
Answer:
16.50 dollars
Step-by-step explanation:
We can use proportion
8 euros --- 11 dollars
12 euros --- x dollars
x = 12 * 11/8 = 16.5= 16.50 dollars
Answer:
16.5 dollars
Step-by-step explanation:
Let's make a proportion using the following setup.
dollars/euros=dollars/euros
Tommy can get 11 dollars for 8 euros. We don't know how many dollars he can get with 12 euros. Therefore, we can say that he can get x dollars with 12 euros.
11 dollars/8 euros=x dollars/12 euros
11/8=x/12
We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
x is being divided by 12. The opposite of division is multiplication. Multiply both sides by 12.
12*(11/8)=(x/12)*12
12*11/8=x
12*1.375=x
16.5=x
Tommy can get $16.50 with 12 euros.
Find 8% of 75. Show your work or explain how you arrived at your answer.
Please make the explanation simple
Answers
Answer:
6
Step-by-step explanation:
Let's make 8% into a fraction:
\(\frac{8}{100}\)
Since, finding a fraction of a number is also the same as multiplying the fraction with the number, we have this equation:
\(\frac{8}{100}\) of 75 =
\(\frac{8}{100}\) x 75.
Equaling to the answer:
6
I tried to keep it as simple as possible.
Formula:
8÷100×75 which will give you 6 as the answer.
Please help due today!!
Answers
Please help me!!!
At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius per hour.
Write an inequality that represents t, the number of hours past midnight, when the temperature was colder than -4 degrees Celsius. Explain or show your reasoning.
2.
Tyler is simplifying the expression 6−2x+5+4x.
Here is his work:
6−2x+5+4x
(6−2)x+(5+4)x
4x+9x
13x
His work is incorrect. Explain the error he made.
3.
Simplify the expression 6−2x+5+4x. Hint: Your final expression shoul donly have two terms.
4.
Factor to write an equivalent expression:
36a−16
5.
Expand to write an equivalent expression:
−14(−8x+12y)
6.Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less.
Starting from a full tank, can Diego's family drive the car for 14 days without the warning light come on?
Please help me thank you
Answers
Answer:
I dont really know the answer
Step-by-step explanation:
I dont know
did you figure it out?
Here is the question
Answers
how much is 11 cents + 6 dimes+ 3 quaters + two 5 cents equals?
*I'm tying to make a dollar
Answers
one dollar and 56 cents
A map of a park has no scale. The distance between the campground and the entrance station on the map is 2 inches. The actual distance between them is 8 miles. On the map, the distance between the campground and the lake is 1/2 inch.
What is the actual distance in miles between the campground and the lake?
Answers
2 in= 8 mi this means 1 in= 4mi
1/2•4= 2 miles
Answer:
2 miles
Step-by-step explanation:
I'm sorry I'm bad at math!! Ahhhhh! Help!
Solve for a.
5a−12=−2
Answers
Answer:
a=2
Step-by-step explanation:
5a-12=-2
1. add -12 to both sides, which makes 5a=10
2. divide 5 from both sides making it a=2
Hope it helps
Answer:
a = 2
Step-by-step explanation:
5a − 12 = −2
5a = 10
a = 2
Best of Luck!
Use the Means-Extremes Property to solve for x. 57 =9x x =
Answers
Answer:
x = 12.6
Step-by-step explanation:
When you have one fraction equated to another one, the means-extremes property allows you to cross multiply, as follows:
\(\frac{a}{b} = \frac{c}{d} \)
can be rewritten as:
a*d = c*b
For this case:
\(\frac{5}{7} = \frac{9}{x} \)
5*x = 7*9
x = 63/5
x = 12.6
PLEASE HELP ASAPP!!! WILL MARK BRAINLIEST
Use the graph to answer the question.
Answers
Answer:
The answer is 1/2
Step-by-step explanation:
Quadrilateral A'B'C'D' is half is large as quadrilateral ABCD, so the scale factor is 1/2.
Answer: 1/2
Step-by-step explanation: figure ABCD has a length of 4 and width of 8, figure A’B’C’D’ has a length of 2 and width of 4, showing 1/2 of the original dimensions
[-85) x (-29) + 85
distributive property
someone please
solve it
Answers
\((-85) \times (-29) + 85 \\ \\ 2465 + 85 \\ \\ 2550.\)
Answer:
(-85) x (-29) + 85
-85 x -29 = 2465
2465 + 85 = 2550
answer 2550
Step-by-step explanation:
Justus owes $500 to his uncle for money he borrowed to go on vacation, $1,500 on his car, and $674 on his credit card. How much are his total liabilities?
(This is for my College Career Readiness class so im not sure which subject it falls under)
Answers
Answer:
$2,674
Step-by-step explanation:
That is how much money he owes if that's what you're looking for.
Hope this helps!
answerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Answers
Answer:
90 percentage
Step-by-step explanation:
90,
there are 90 tiles in box a
Answer:
in box a 35% of tiles are black or 7 tiles
The values in the table describe a data set.
Minimum 20
Mean 30
Mean Absolute Deviation 3.5
Median 35
Interquartile Range 10
Maximum 55
Which value can be used to describe how the values in the data set vary with a single number?
A. median
B. maximum
C. interquartile range
D. mean
Answers
The IQR is 10, indicating the middle 50% of the data values lie within the range of 28 to 43 (35 +/- 10 is 28-43).
The other choices are:
Mean (30) - Describes the central tendency but not variability.
Median (35) - Also describes central tendency but IQR gives a better sense of spread.
Maximum (55) - Only describes the upper limit, not variability.
So the interquartile range (IQR) of 10 is the best choice to capture how spread out or varied the values in the data set are.
The answer is C. interquartile range
Answer:
D. Mean Absolute Deviation
Part A Can you map shape I onto shape II by a sequence of transformations? If so, give a sequence of transformations that maps shape I onto shape II.
Part B
Complete the sequence of transformations you found in part A, but in a different order. Does this also map shape I onto shape II? What does this mean?
Question 2 Part A
If you reflect any shape across the x-axis and then rotate it 90° clockwise about the origin, do you get the same result as if you reflect it across the y-axis and then rotate it 90° counterclockwise about the origin? What does this mean?
Part B
If you reflect any shape across the x-axis and then rotate it 180° about the origin, do you get the same result that you would if you reflect it across the y-axis and then rotate it 180° about the origin? What does that mean?
Part C
If you reflect any shape across the x-axis and then across the y-axis, do you get the same result that you would if you rotated it 180° about the origin? What does that mean?
Answers
Part C is the answer
mark me brainliest pls
The heights, in feet, of the trees for sale at two nurseries are shown below.
Yard Works: 7, 9, 7, 12, 5
The Grow Station: 9, 11, 6, 12, 7
Which statements are true regarding the measures of center and variability of these data sets? Select three choices.
A. The mean of the tree heights at Yard Works is less than the mean of the tree heights at The Grow Station.
B. The median of the tree heights at Yard Works is greater than the median of the tree heights at The Grow Station.
C. The range of the tree heights at Yard Works is greater than the range of the tree heights at The Grow Station.
D. The mean absolute deviation of the tree heights at Yard Works is greater than the mean absolute deviation of the tree heights at The Grow Station.
E. The mean absolute deviation of the tree heights at Yard Works is equal to the mean absolute deviation of the tree heights at The Grow Station.
Answers
The statements that are true regarding the measures of center and variability of these data sets include:
A. The mean of the tree heights at Yard Works is less than the mean of the tree heights at The Grow Station.
C. The range of the tree heights at Yard Works is greater than the range of the tree heights at The Grow Station.
E. The mean absolute deviation of the tree heights at Yard Works is equal to the mean absolute deviation of the tree heights at The Grow Station.
How to calculate the mean of any data set?In Mathematics and Statistics, the mean for any set of data can be calculated by using the following formula:
Mean, \bar{x} = ∑x/n
Where:
∑x represents the sum of all data values.n represents the total number of data items.Based on the information provided, we have:
Mean of Yard Works = (7+9+7+12+5)/5
Mean of Yard Works = 8.
Mean of Grow Station = (9+11+6+12+7)/5
Mean of Grow Station = 9.
Range is the difference between the maximum and minimum numbers;
Range of Yard Works = 12 - 5
Range of Yard Works = 7.
Range of Grow Station = 12 - 6
Range of Grow Station = 6.
Mean absolute deviation is given by;
MAD = 1/n ∑|x - μ|
Where:
n represents the number of data (observed values)μ represents the mean of the data set.x represents the individual data (values)Mean absolute deviation of Yard Works = 2
Mean absolute deviation of Grow Station = 2.
Read more on mean absolute deviation here: https://brainly.com/question/16850458
#SPJ1
y = x + 0
y = -3 + 0
Graphed on a graph please!
Answers
Answer:
Check Pic. Use geogebra or desmos online graphing. I personally like desmom better and it is what I used for this question.
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the measure of ∠y ?
Hint:∠z is a straight angle
Answers
Answer:
154
Step-by-step explanation:
bc z is striaght line = 180
so 180 -26 = 154
remember
y + 26 = z
Answer:
∠y = 154°
Step-by-step explanation:
- angle ∠z is a straight angle meaning it equals 180 180°
this is also known as...
supplementary angles (when two angles whose sum is 180°)
- one of the two angles are given:
angle 1: 26°
angle 2: ∠y °
26 + ∠y = 180 °
subtract 26 from both sides to get y alone
26 -26 + ∠y = 180 ° - 26
∠y = 154°
∠y is an obtuse which is confirmed by 154°
PLEASE HURRY ILL MARK BRAINEST
Answers
it’s asking for the square root, meaning what number can multiply by itself to equal 49.
for this I would just start guessing and then you’ll eventually get it.
a guess could be 6*6, which is 36
meaning that it is higher, so let’s check 7.
7*7 equals 49
so, the answer is 7
I know another person already answered but I hope this explanation helps :)
Help me thanks
Xxxxxxxxx
Answers
Answer:
The answer is C.
Step-by-step explanation: