Answers
a = 180 - 68
a = 112
b = 2(112) - 104
b = 224 - 104
b = 120
answer
C 120
Answer:
The correct option is C. 120°
Step-by-step explanation:
For better explanation of the answer see the attached figure :
Since, Angle formed at the center is equal to the angle measure of its opposite arc
⇒ ∠AOD = 104°
Also, The angle formed in the segment is half the angle formed at the center of the circle
⇒ ∠DOB = 2 × ∠BAD
⇒ ∠DOB = 2 × 68°
⇒ ∠DOB = 136°
Now, ∠AOB = 360 - ∠BOD + ∠AOD
⇒ ∠AOB = 360 - 136 - 104
⇒ ∠AOB = 120°
Now, Angle formed at the center is equal to the angle measure of its opposite arc
⇒ b = ∠AOB
⇒ b = 101°
Hence, the correct option is C. 120°
Related Questions
is this proportion true 12/15=47/50
16/36=12/27
15/20=24/26
or 4/16=2/14
Answers
For 16/36 and 12/27, we'll notice that 36 and 27 are both multiples of 9, so we need to get that as the denominator! Multiply 16/36 by (1/4)/(1/4) because 9 goes into 36 4 times and 12/27 by (1/3)/(1/3) due to that 27 goes into 9 3 times, we get 4/9=4/9 - these are equal!
I challenge you to get the rest of them on your own using my techniques!
Final answer:
To determine if a proportion is true, we must verify that the cross-products of the ratios are equal. Only two of the given proportions, 16/36 = 12/27 and 15/20 = 24/32, are true when applying this method.
Explanation:
To determine if a proportion is true, we check whether the cross-products are equal. In other words, for a proportion in the form a/b = c/d, if a * d equals b * c, the proportion is true.
Let's apply this to the provided proportions:
12/15 = 47/50 is not true because 12*50 does not equal 15*47.
16/36 = 12/27 is true because 16*27 equals 36*12.
15/20 = 24/32 is true because 15*32 equals 20*24.
4/16 = 2/14 is not true because 4*14 does not equal 16*2.
Proportions can be a useful tool in many areas of mathematics, such as solving for unknown variables and comparing relative frequencies. Remember, if you encounter large numbers or fractions, simplifying before checking the cross-product can often make the process easier.
When ordering a certain type of computer, there are 3 choices of hard drive, 4 choices for the amount of memory, 2 choices of video card, and 3 choices of monitor. in how many ways can a computer be ordered?
Answers
Answer:
72 possible combinations
Step-by-step explanation:
The features in a computer (C) are:
Hard drive (h): 3 choicesAmount of memory (a): 4 choicesVideo card (v): 2 choicesMonitor (m): 3 choicesAll the possible combinations can be found using the following expression.
C = h × a × v × m = 3 × 4 × 2 × 3 = 72
There are 72 possible combinations to set up a computer.
An athlete eats 0.35kg of protein per week while training. How much protein will she eat during 7 weeks of training?
Answers
The athlete will eat 2.45 kilograms of protein during 7 weeks of training.
To find out how much protein the athlete will eat during 7 weeks of training, we can simply multiply the amount of protein eaten per week by the number of weeks of training.
Given:
Protein eaten per week = 0.35 kg
Number of weeks of training = 7 weeks
Protein eaten during 7 weeks of training = 0.35 kg/week * 7 weeks
Now, calculate the result:
Protein eaten during 7 weeks of training = 2.45 kg
So, the athlete will eat 2.45 kilograms of protein during 7 weeks of training.
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An ice sculpture is melting from the heat. Assuming its height changes by negative 5 over 32 meters every hour, what will be the change in height after 4 hours?
Answers
To do this, you need to multiply [tex]- \frac{5}{32} [/tex] by 4.
[tex]- \frac{5}{32} * 4 = -\frac{5}{8} [/tex].
Answer: [tex] -\frac{5}{8} [/tex]
Answer:
[tex]\frac{-5}{8} [/tex]
Step-by-step explanation:
Given : Height of an ice sculpture changes by negative 5 over 32 meters every hour.
To Find: what will be the change in height after 4 hours?
Solution:
Height changes in 1 hour by [tex]\frac{-5}{32}[/tex]
So, the change in height after 4 hours = [tex]\frac{-5}{32} \times 4[/tex]
= [tex]\frac{-5}{8} [/tex]
Hence,the change in height after 4 hours will be [tex]\frac{-5}{8} [/tex]
Which angle pairs are supplementary? Check all that apply
Answers
4,5
3,6
these are all supplementary
Answer:
b) ∠4 and ∠3
c) ∠4 and ∠5
e) ∠3 and ∠6
Step-by-step explanation:
Supplementary angles: If the two angles are supplementary, then the angles add upto 180 degrees.
We need to find which pairs add upto 180 degrees.
From the given figure, ∠4 + ∠3 = 180°
ii) ∠5 + ∠6 = 180°
iii) ∠4 + ∠5 = 180°
iv) ∠3 + ∠6 = 180°
v) ∠7 + ∠8 = 180°
So, the following pairs are supplementary.
b) ∠4 and ∠3
c) ∠4 and ∠5
e) ∠3 and ∠6
15/16 is 1 sixteenth groups of what size?
Answers
15/ 16 = 1/16 x (X)
multiplying both sides with 16 we get, 15 = X
so 15 is the answer.
there is another way to find the answer if we divide 15 / 16 with 1/ 16, we get the answer which is 15 from this method also.
To determine the number which, when divided into 1/16 groups, gives 15/16, we should multiply 15/16 by 16. Therefore, 15/16 is 1 sixteenth of a group of 15.
Explanation:The question is essentially asking for a number which, when divided into 1/16 groups, would give 15/16.To find 1 sixteenth of a number, divide the number by 16. In this case, we want to find 1 sixteenth of what number is equal to 15/16. So, 15/16 is equal to 1/16 of what number. To find this number, we can simply invert the operation. Instead of dividing by 1/16, we should multiply 15/16 by 16. This gives us:
15/16 * 16 = 15.
Therefore, 15/16 is 1 sixteenth of 15.
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The Florida Everglades welcomes about 2x10 to the third power visitors per day. Based on this, about how many visitors come to the Everglades per week?
Answers
which has the greater capscity 7/8 of a cup. Or 2/8 of a gallon
Answers
now, a gallon has 128oz total, so 2/8 of a gallon will then be (2/8) * 128, or 32oz.
so, fairly sure you can tell who has greater capacity.
A pair of jeans is on sale for 25% off the original price. Which expression represents the sale price? If the original price is $40, evaluate the expression to find the sale price. A: s=p-0.25p;$30 B: s=p-25;$15 C: s=p-0.25p;$10 D: s=p-0.25;$39.75
Answers
can someone help me please
Answers
the answer is A
see attached picture:
I start with 9-2x widgets. Each day, I produce 2x+1 widgets, and destroy 3-x widgets. After three days, how many widgets am I left with, in terms of x?
Answers
Final answer:
After three days, starting with 9-2x widgets, producing 2x+1 widgets daily, and destroying 3-x widgets daily, the student is left with 3 + 7x widgets, in terms of x.
Explanation:
Let's find out how many widgets are left after three days, starting with 9-2x widgets, producing 2x+1 widgets daily, and destroying 3-x widgets daily.
To calculate the total number of widgets after one day, we add the produced widgets (2x+1) and subtract the destroyed widgets (3-x) from the initial amount (9-2x):
At end of day 1: (9-2x) + (2x+1) - (3-x) = 9 - 2x + 2x + 1 - 3 + x = 7 + x
Repeat this process for two more days:
At end of day 2: (7+x) + (2x+1) - (3-x) = 7 + x + 2x + 1 - 3 + x = 5 + 4x
At end of day 3: (5+4x) + (2x+1) - (3-x) = 5 + 4x + 2x + 1 - 3 + x = 3 + 7x
Therefore, after three days, you are left with 3 + 7x widgets, in terms of x.
The student initially has 9-2x widgets, and each day there's a net change of 3x-2 widgets. After three days, the student is left with 7x+3 widgets.
Explanation:The student starts with 9-2x widgets. Each day, they produce 2x+1 widgets and destroy 3-x widgets. To find out how many widgets the student is left with after three days, we need to account for the daily production and the daily destruction of widgets and sum them up over the three days.
Let's calculate the daily net change in widgets. The number of widgets produced each day is 2x+1, and the number destroyed is 3-x, so the net change in widgets each day is:
(2x+1) - (3-x) = 2x + 1 - 3 + x = 3x - 2
Now, let's multiply this daily net change by three days:
3 days × (3x - 2) = 9x - 6
Finally, let's add this to the initial number of widgets to find the total:
(9-2x) + (9x - 6) = 9 - 2x + 9x - 6 = 7x + 3
Therefore, after three days, the student is left with 7x + 3 widgets in terms of x.
Find the average rate of change of f on the interval [50, 70].
Answers
Final answer:
The average rate of change of a function on an interval is calculated by finding the difference in the function's values at the endpoints of the interval, and then dividing that difference by the length of the interval. In this case, the interval is [50, 70], so the average rate of change of the function is (f(70) - f(50)) / (70 - 50).
Explanation:
The average rate of change of a function on an interval is calculated by finding the difference in the function's values at the endpoints of the interval, and then dividing that difference by the length of the interval.
In this case, the interval is [50, 70], so the average rate of change of the function is (f(70) - f(50)) / (70 - 50).
For example, if the function is f(x) = 2x + 3, then the average rate of change on the interval [50, 70] would be (f(70) - f(50)) / (70 - 50) = (2(70) + 3) - (2(50) + 3) / 20 = (143 - 103) / 20 = 40 / 20 = 2.
A dolphin can swim at a speed of about 37 miles per hour. The fastest human swimmer can reach a speed of about 5.2 miles per hour. About how many times faster than humans are dolphins
Answers
Sorry if this doesn't help.
Name the rule and find the next two numbers in the pattern 10,70,490
Answers
Answer:
Next numbers: 3430, 24010
Step-by-step explanation:
AS you can see you just need to discover the pattern by dividing the subsequent numbers by the direct number before that:
490/70=7
70/10=7
So both numbers indicate the patter on multiply by 7.
So to calculate the next number we first have to multiply 490*7= 3430
Now we just have to multiply the 3430 by 7 and that would be 24010.
So the next numbers would be 3430 and 24010,
Find the center of the circle that can be circumscribed about EFG with E(2,2),F(2,-2), and G(6,-2)
Answers
[tex]\bf \textit{Centroid of a Triangle} \begin{array}{llll} \stackrel{E(2,2)~~F(2,-2)~~G(6,-2)}{\left(\cfrac{2+2+6}{3}\quad ,\cfrac{2-2-2}{3}\quad \right)} \end{array}[/tex]
A bank received an initial deposit of $15,000, kept a percentage of this money in reserve based on a reserve rate of 3%, and loaned out the rest. The amount it loaned out eventually was all deposited back into the bank. If this cycle continued indefinitely, how much money eventually resulted from the initial deposit?
A $50,000
B $45,000
C $500,000
D $19,500
Answers
Answer:
If this cycle continued indefinitely, how much money that eventually resulted from the initial deposit is
500,000 (C is the answer)
Armand ran the 100-yard dash in 17.18 seconds. Arturo's time has an 8 with a vaule 10 times the value of 8 in armand's time. What could be arturo's tome on the 100-yard dash?
Answers
Answer:
26.89 seconds
Step-by-step explanation:
Any number with an 8 in the tenths place will have an 8 with 10 times the value of the 8 in the hundredths place in Armand's time.
If someone helps me I will cash app you 1 dollar I need the steps not the answer how to solve it
Answers
1 7/9=1+7/9=(9+7)/9=16/9
Write all numerators above the common denominator
(5/8)+(16/9)+3
Write all numerators above the common denominator
(45+128+216)/72
Calculate the sum
389/72 = 5 29/72
So the answer is 5 29/72
Hope it helps!
The staff at Larry's Lawns spends their workday mowing lawns, raking, and bagging leaves. They work an average of twelve hours per day. The mowing and raking typically takes eight hours and an average of forty-eight bags of leaves are filled. Assuming the bags are filled at a constant rate, what is the average time it takes to fill one bag of leaves?
Answers
The average time it takes to fill one bag of leaves is 0.17 hours or 10 minutes.
Explanation:The average time it takes to fill one bag of leaves is 0.17 hours or 10 minutes.
To find the average time it takes to fill one bag of leaves, we need to divide the total time spent raking leaves by the number of bags filled. In this case, the total time spent raking leaves is 12 hours and the number of bags filled is 48.
Therefore, the average time it takes to fill one bag of leaves is:
Average time = Total time / Number of bags filled
Average time = 12 hours / 48 bags = 0.25 hours/bag = 15 minutes/bag.
John is ordering 50 t-shirts. 30% of the shirts need to be small, how many shirts need to be small
Answers
You can just multiply the two together, to get 15 shirts that need to be small.
Long way: 30% = 3/10
1/10 of 50 is 5
1/10 * 3 = 3/10
5 * 3 = 3/10
15 = 3/10
Susan has 4 gallons of juice. How many cups of juice does she have?
Answers
1 gallon is 16 cups
I need help deriving : (7x)/(3+x^2), I keep on deriving it wrong and I am not sure as to why
Answers
The derivative of [tex]\( f(x) = \frac{7x}{3 + x^2} \)[/tex] is [tex]\( f'(x) = \frac{-7x^2 + 21}{(3 + x^2)^2} \)[/tex].
To find the derivative of the function [tex]\( f(x) = \frac{7x}{3 + x^2} \)[/tex] , we can use the quotient rule. The quotient rule states that if you have a function [tex]\( g(x) = \frac{u(x)}{v(x)} \)[/tex] , then the derivative [tex]\( g'(x) \)[/tex] is given by:
[tex]\[ g'(x) = \frac{u'(x)v(x) - u(x)v'(x)}{[v(x)]^2} \][/tex]
In this case, let u(x) = 7x and v(x) = 3 +[tex]x^2[/tex] . Now, find the derivatives u'(x) and v'(x):
u'(x) = 7
v'(x) = 2x
Now, apply the quotient rule:
[tex]\[ f'(x) = \frac{(7)(3 + x^2) - (7x)(2x)}{(3 + x^2)^2} \][/tex]
Simplify the expression:
[tex]\[ f'(x) = \frac{21 + 7x^2 - 14x^2}{(3 + x^2)^2} \][/tex]
Combine like terms:
[tex]\[ f'(x) = \frac{-7x^2 + 21}{(3 + x^2)^2} \][/tex]
So, the derivative of [tex]\( f(x) = \frac{7x}{3 + x^2} \)[/tex] is [tex]\( f'(x) = \frac{-7x^2 + 21}{(3 + x^2)^2} \)[/tex].
Complete Question: What is the derivation of (7x)/(3+[tex]x^2[/tex]).
write 6/7 in an equivalent form with the denominator of 35
Answers
And 6 x 5 is 30
Suppose you have a distribution, x, with mean = 13 and standard deviation = 3. define a new random variable y = 4x - 5. find the mean and standard deviation of y.
Answers
The mean and the standard deviation of y are given as follows:
Mean: 47.Standard deviation: 12.How does the subtraction and the multiplication affect the standard deviation?For the multiplication, we have that both the mean and the standard deviation are multiplied by the constant.
For the subtraction, we have that the mean is subtracted by the constant, while the standard deviation remains constant, since all observations are subtracted by the constant, the differences squared between each observation and the mean remain constant.
The original mean and standard deviation are given as follows:
Mean: 13.Standard deviation: 3.After the multiplication, they are given as follows:
Mean: 52.Standard deviation: 12.After the subtraction, they are given as follows:
Mean: 47.Standard deviation: 12.More can be learned about mean and standard deviation at https://brainly.com/question/14447368
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Final answer:
The mean and standard deviation of the new random variable y, derived from a distribution x with a given mean and standard deviation, are calculated by applying transformations, resulting in a mean of 47 and a standard deviation of 12.
Explanation:
The question asks us to find the mean and standard deviation of a new random variable y = 4x - 5, given a distribution, x, with a mean of 13 and a standard deviation of 3. To calculate the mean of y, we use the transformation y = 4x - 5. The mean of y can be found by substituting the mean of x into this equation, giving us 4(13) - 5 = 52 - 5 = 47. To find the standard deviation of y, we multiply the standard deviation of x by the coefficient of x in the equation, resulting in 3 * 4 = 12. Therefore, the mean of y is 47, and the standard deviation is 12.
what is 12.1 rounded to the nearest whole number
Answers
Lamar rented a movie. He started the movie at
11:39 PM and it ended at
1:13 AM. How long was the movie?
Answers
is 600 1/10th of 500-
Answers
hope this helps
Answer:
No
Step-by-step explanation:
600 is greater than 500 it would be 1.2 greater
Hope this helps!!
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Aaron finished his math assignment in 3/8 hours. then he completed his chemistry assignment in 1/4 hours. How much more time did Dan spend on his math assignment?
Answers
so, then, let's find their difference, since 3/8 is greater, let's subtract 1/4 from it.
[tex]\bf \cfrac{3}{8}-\cfrac{1}{4}\impliedby \textit{we'll use an LCD of 8}\implies \cfrac{(1\cdot 3)~-~(2\cdot 1)}{8} \\\\\\ \cfrac{3-2}{8}\implies \cfrac{1}{8}[/tex]
slove for x=b - cb to get c by itsself
Answers
*HELP* I've been stuck for mins. The graph shows the number of birdhouses Penn and his father can build if they have enough time to build no more than 10 birdhouses. What is the domain of this graph?
Answers
The answer to the question would be, All whole numbers from 0 to 10
If the graph shows the number of birdhouses Penn and his father can build if they have enough time to build no more than 10 birdhouses, the domain of the graph is given as [0, 10).
From the graph given, we are to find the domain of the graph. From the graph, we can see that;
The number of birdhouses is along the horizontal x-axisThe amount of time worked is along the vertical y-axisWe are to find the domain of the given graph. The domain of the graph is the input values for which the graph exists.
The domain of the graph is the values along the x-axis of the graph. Hence the domain of the graph is given as [0, 10).
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