if m Mf = 42 degrees and many = 132 degrees find m< C
We shall use the relation:
\(\theta=\frac{\beta-\alpha}{2}\)Therefore, we have
\(\begin{gathered} m\angle C=\frac{NH-MF}{2} \\ \\ m\angle C=\frac{132-42}{2} \\ \\ m\angle C=\frac{90}{2} \\ \\ m\angle C=45\degree \end{gathered}\)Then the angle m∠C is 45 degrees
Caleb an investment banker sold his shares for $18,189.27 when there was a boom in the stock market. Calculate the amount he paid for the shares if his selling price was 130% of the amount he paid for the shares.
Therefore, Caleb paid approximately $14,067.90 for the shares.
Let's assume the amount Caleb paid for the shares is represented by the variable "x". According to the given information, his selling price was 130% of the amount he paid.
Selling price = 130% of the amount paid
$18,189.27 = 1.3 * x
To find the amount he paid for the shares, we can solve the equation for "x" by dividing both sides by 1.3:
x = $18,189.27 / 1.3
Calculating this, we find:
x ≈ $14,067.90
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-0.5-(-.8)+0.8+(-.5)
Answer:
your answer is -1
Step-by-step explanation:
What is 75% of 85$?
Pls help
Answer:63.75 :)
Step-by-step explanation:
Answer:
$63.75
Step-by-step explanation:
85 x 75/100
85/1 x 3/4
255/4 - > $63.75
- You should already know how to do this yourself as this is very easy and basic question.
Mrs. Webster wants to divide 6 pints into 1/3 pints servings. How many servings are possible
Answer:
18 servings
Step-by-step explanation:
6*3=18
Seven different names were put into a hat. A name chosen 100 times. And the name Michael is chosen 9 times. What is experimental probability of the name Michael being chosen? What is the theoretical probability of the name Michael being chosen? Use the pencil and paper. Explain how each probability would change if the number of names in the hat were different.
Answer:
Experimental probability = 9 / 100
Theoretical probability = 1/7
Step-by-step explanation:
The experimental probability of an event is written as :
P = number of times event occur / total number of trials
Experimental probability is based on the outcome of an experiment that has taken place.
Theoretical probability is based on expected outcome of an event.
P = number of expected or required outcomes / total possible outcomes
Experimental probability of choosing the name Michael is :
Number of times Michael is chosen / number of trials
Experimental probability = 9 / 100 = 0.09
Theoretical probability of choosing michael:
Number of names in hat = 7
Number of names called Michael in hat = required outcome = 1
P = 1 / 7
If the number of names in hat was different from 7, then the theoretical probability will change.
Also, if the number of times a name was chosen was different from 100, then number of trials will also change and hence, the experimental probability.
5/8 divide by 2 please need it
-2/3 + 4/5 + 5/8 Please help me :/
Answer:
91/120
Step-by-step explanation:
It might be convenient to use the form ...
(a/b) +(c/d) = (ad +bc)/(bd)
__
-2/3 +4/5 +5/8 = (-2/3 +4/5) +5/8
= (-10 +12)/15 +5/8
= 2/15 +5/8
= (16 +75)/120
= 91/120
Please help me! I'm asking for help I need all the help I can get.
Answer:
45
Step-by-step explanation:
Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = sin(xy), (8,0)
The maximum rate of change of the function f at (8,0) is 8 and the direction is ĵ.
What is function?
In mathematics, a function can be defined as a relation between a set of inputs having one output each. In simple manner, a function is a relationship between inputs where each input is related to exactly one output. In every function there has a domain and codomain or range.
Given function is f(x, y) = sin(xy)
The maximum rate of change f(x, y) occurs in the direction of gradient of the function f which can be estimated as follows:
∇f(x, y)=[ ∂/∂x f(x, y)î + ∂/∂y f(x, y)ĵ]
∇f(x, y)=[ ∂/∂x (sinxy)î + ∂/∂y (sinxy) ĵ] -------(1)
The partial derivative
∂/∂x (sinxy)= (cos xy) ∂/∂x(xy)
= y cos (xy)
and the partial derivative
∂/∂x (sinxy)= (cos xy) ∂/∂y(xy)
= x cos (xy)
putting these values in equation (1) we get,
∇f(x, y)=[ y cos(xy)î + x cos(xy) ĵ]
∇f(8, 0)=[ 0 + 8 ĵ] [ since cos 0= 1]
Now,
| ∇f(8, 0) | = | 0 + 8 ĵ |
= \(\sqrt{(0^{2} + 8^{2}) }\)
= 8
Hence, the maximum rate of change of the function f at (8,0) is 8 and the direction is ĵ.
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In solving the formula
A = (1/2)bh, in solving for h, you could first multiply both side by 1/2.
True or False
Answer:
False
Step-by-step explanation:
Given
A = \(\frac{1}{2}\) bh ( multiply both sides by 2 to clear the fraction )
2A = bh ( divide both sides by b )
\(\frac{2A}{b}\) = h
Simplify the expression. Write your answer as a power.
Answer:
2/3 to the power 8
Step-by-step explanation:
Power : 2 + 6 = 8
A ball shaped like a sphere has a radius of 4 3/8 inches. What is the best
estimate of the volume of the ball? Round to the nearest hundredth.
(Answer with number only, no units)
The best estimate of the volume of a ball shaped like a sphere with a radius of 4 3/8 inches is approximately 436.52 cubic inches.
To find the volume of a sphere, we use the formula V = (4/3)πr^3, where r is the radius of the sphere. Substituting the given radius of 4 3/8 inches (which can also be written as 35/8 inches) into this formula, we get V = (4/3)π(35/8)^3. Evaluating this expression, we get V ≈ 436.52 cubic inches, rounded to the nearest hundredth.
Therefore, the best estimate of the volume of the ball is 436.52 cubic inches.
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Write the English phrase as an algebraic expression. Then, simplify the expression. Let x represent the number,
The difference between the product of three and a number and two times the number.
What is the algebraic expression?
(Do not simplify.)
Answer:
3x - 2x
Step-by-step explanation:
The difference - the subtraction symbol
The product of three and a number - 3 multiplied by x (basically says what's the solution to three times x)
Two times the number - 2 times x
Determine the 14th term of the sequence -4, 8, -16, ...
Answer:
32
Step-by-step explanation:
\(r=-2,\:a_n=-4\left(-2\right)^{n-1}\)
one of the world tallest roller coaster is in Blackpool, England. The maximum drop Is 65m over a horizontal distance of 65m in two sections. The first section has a gradient of 3 and the second section has a gradient of 1/2. How high is the point A above the ground?
The point A is 227.5 meters above the ground.
To find the height of point A above the ground, we can calculate the vertical distance traveled in each section and then add them together.
In the first section, the gradient is given as 3, which means for every horizontal distance of 1, the coaster rises by 3 units vertically.
The horizontal distance in the first section is 65m, so the vertical distance traveled in the first section is \(3 \times 65m = 195m\).
In the second section, the gradient is given as \(\frac{1}{2}\), which means for every horizontal distance of 1, the coaster rises by \(\frac{1}{2}\) units vertically.
The horizontal distance in the second section is also 65m.
Therefore, the vertical distance traveled in the second section is
\((\frac{1}{2} )\times 65m = 32.5m\).
To find the total height of point A above the ground, we add the vertical distances from both sections:
Total height = Vertical distance in first section + Vertical distance in second section
Total height = \(195m + 32.5m\)
Total height = \(227.5m\)
Therefore, the point A is 227.5 meters above the ground.
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2/5 to the students in my class can speak Spanish and 1/5 can speak Korean how many of the 30 students can speak a second language
Answer:
18 students
Step-by-step explanation:
2/5+1/5= 3/5
1/5= 30/5
= 6
3/5= 6*3
= 18
PLEASE HELP W/ THIS QUESTION I ALLWAYS GET STUCK ON READING TIME!!!
what time does the clock show? Please tell me how to read time I will mark you the brainlyest.
Answer:
2:40
Step-by-step explanation:
Short hand (hours): a little past 2
Long hand (minutes): 40 -- 8*5=40
3.48 with 8 % tax would equal please help so confused how to do
f(x, m, s) = 1 √278² exp (-2/2 (x-m) ²) 28² Write a function in the form of gauss(x, m=0, s=1) for computing the Gaussian density. Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. Give the name of question5b (c) x-0, m-2, s-1. Give the name of question5e (d) x=0, m=2, s=2. Give the name of question5d (e) x=3, m-3, s-3.
Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.
To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.
First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:
Principal = $1,000
Rate of interest per period = 8% / 4 = 2% per quarter
Number of periods = 12 quarters
Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)
= $1,000 * (1 + 0.02)^12
≈ $1,166.41
Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):
Principal = $1,000
Rate of interest per period = 2% per quarter
Number of periods = 8 quarters
Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)
= $1,000 * (1 + 0.02)^8
≈ $1,165.16
Finally, we add the two values to find the total value of the account on January 1, 2021:
Total value = Value after three years + Value after two years
≈ $1,166.41 + $1,165.16
≈ $2,331.57
Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.
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I have 1 word problem and a math problem. (word prob)A light-year is the distance that light travels in a year and is equivalent to 9.461 * 10^12. Write this distance in standard form.
(math prob) Order the list of numbers from least to greatest.
8.5*10^12,3.6*10^8,5.85*10^-3, 2.5*10^-1,8.5*10^8. ( This ^ means there are square roots for the numbers).
My math class is real soon. Pls, answer them. Thanks!!
Answer:
1. 9461000000000
move the desimal in 9.461 12 places to the right to get:
9461000000000
2.
5.85 x 10^-3,
2.5 x 10^-1,
3.6 x 10^8,
8.5 x 10^8,
8.5 x 10^12
the smallest exponent is the smallest. Since 8.5 x 10^8 and 3.6 x 10^8 have the same exponent, go to the desimal
Please Help 100 POINTS!!!
Answer:
B
Step-by-step explanation:
Answer:
B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)
Step-by-step explanation:
Gina checked 20 markers. 7 of them were working. What percent of her markers were not working?
Answer:
65%
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
The percent of her markers that were not working is 65%
How to find how much percent 'a' is of 'b'?Suppose a number is 'a'
Suppose another number is 'b'
We want to know how much percent of 'b' is 'a'.
Then, it is calculated as:
\(\dfrac{a}{b} \times 100\) (in percentage)
The number of her markers not working = Total number of markers - number of markers working = 20 - 7 = 13
Thus, the percent of her total markers the markers not working is:
\(\dfrac{13}{20} \times 100 = 65\%\)
Second method:
Let us suppose that 'p' percent of her markers are not working, then, as 13 of her markers are not working, so they are equal, or:
\(\dfrac{20}{100} \times p = 13\\\\\dfrac{p}{5} = 13\\\\\text{Multiplying 5 on both the sides}\\p = 65 \text{\: \:(In percentage)}\)
Thus, the percent of her markers that were not working is 65%
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Zachary is making dumplings. If he uses cup of dough for each dumpling, how
much dough does Zachary need to make 11 dumplings?
Answer:
11 cups of dough
Step-by-step explanation:
1 cup x 11 dumplings = 11 cups of dough needed
Answer:
11 cups of dough
Step-by-step explanation:
very hard question >:(
find the missing side length labeled with a ? mark.
Answer: 10
Step-by-step explanation:
Since the lines are parallel, the triangles are congruent. This means their side lengths are an equal ratio!
6 + 6 : 20 = 6 : ?
12:20 = 6:?
12:20 = 6:10
Answer is 10
chapter 2 of volume ii ends with victor saying, "for the first time i felt what the duties of a creator towards his creature were" (85). what does this mean, and why does he say it?]\
In Chapter 2 of Volume II of Frankenstein, Victor Frankenstein concludes by stating, "for the first time I felt what the duties of a creator towards his creature were" (85). Victor's remark implies that he has finally realized that he has a responsibility towards the creature he has created, and that he must accept the consequences of his creation.
Victor recognizes that as the creator of the creature, he is morally obliged to ensure that the creature is well-treated and cared for. Victor expresses remorse for creating the monster and for failing to take responsibility for his actions as the creature's creator. He finally acknowledges his role in the creature's life and feels a sense of obligation to be there for him as his creator.
Victor understands the importance of having a sense of responsibility and accountability as a creator towards his creation. This demonstrates the theme of the novel, which is the dangers of playing God and the consequences that come with taking on a task that is beyond one's capabilities.
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4. You have 3 L of gas at a certain
temperature and pressure. What
would the volume of the gas be
if the temperature doubled and
the pressure stayed the same?
9514 1404 393
Answer:
6 L
Step-by-step explanation:
For an ideal gas, the volume is proportional to the absolute temperature, other things being equal. When the temperature doubles, the volume will double, from 3 liters to 6 liters.
Scale the numerator and the denominator down by a factor of 4 (divide) to write a fraction equivalent to 8/56. (i really need help with this)
8/56 = ??
Answer:
2/14
Step-by-step explanation:
when you scale the numerator and denominator down by 4, you just divide both of them by 4. So since 8 divided by 4 is 2 and 56 divided by 4 is 14, the answer is 2/14
Elizabeth records the number of points her favorite basketball team scores in each game. She predicts that the team will score about 120 points in its next game is Elizabeth's prediction reasonable?
pls help it due tomorrow
Answer:
Based on the data that Elizabeth has gathered about her favorite basketball team's previous game scores, it's difficult to say whether her prediction of 120 points in the next game is reasonable. However, if the team has been consistently scoring around that range in the past few games, then it's possible that Elizabeth's prediction could be accurate. However, it's always important to keep in mind that any prediction or estimate is subject to unexpected changes, so it's always best to take them with a grain of salt.Step-by-step explanation:
yeah
Solve 15w = -365, showing good algebra format in your work.
Hey there!
\(Answer:\boxed{\text{w}=\frac{-73}{3}}\)
\(Explanation:\)
\(15w=-365\)
15w/15 = -365/15 Divide both sides by 15
w = -73/3
Hope this helps!