Answers
Answer:
120
Step-by-step explanation:
triangle ABC is an isosceles triangle. Because it is an isosceles triangle, angle ABC is also 30 degrees. Knowing that all three angles add to 180, we can conclude that angle a is 120 degrees. (180-30-30=120)
Answer:
120°
Step-by-step explanation:
Every triangle adds up to 180°
We are already given one angle with is 30°.
Which is congruent to the other angle so there are two 30°, which make it 60°.
All we have to do now is subtract the total of the angle which is 180 and the angle given which is 30.
180- 60= 120
Hope this can Help!!
:D
Related Questions
45 POINTS IF ANSWER!!!
Find the value of X in the triangle shown below.
Answers
Answer:
x - 40 degree... I am sure
determine the equation of the circle with center (5,5) containing the point (0,-2)
Answers
The equation of the circle with center (5,5) containing the point (0,-2) is \((x - 5)^2 + (y - 5)^2 = 74\)
What is the equation of the circle?The standard equation of a circle is given by: (x-h)2 + (y-k)2 = r2 Where (h,k) is the coordinates of center of the circle and r is the radius.
To determine the equation of the circle, we need to find the radius first. Since the center of the circle is (5,5), we can use the distance formula to find the distance between the center and the given point (0,-2):
\(distance = \sqrt{[(x2 - x1)^2 + (y2 - y1)^2]}\\distance = \sqrt{[(0 - 5)^2 + (-2 - 5)^2]}\\distance = \sqrt{[(-5)^2 + (-7)^2]}\\distance = \sqrt{[25 + 49]}\\distance = \sqrt{[74]}\)
Therefore, the radius of the circle is sqrt[74].
Now, we can use the standard form of the equation of a circle to find the equation of the circle:
\((x - h)^2 + (y - k)^2 = r^2\)
where (h,k) is the center of the circle, and r is the radius.
Plugging in the values we have:
\((x - 5)^2 + (y - 5)^2 = (\sqrt{[74]})^2\)
Simplifying the equation:
\((x - 5)^2 + (y - 5)^2 = 74\)
Therefore, the equation of the circle with center (5,5) containing the point (0,-2) is \((x - 5)^2 + (y - 5)^2 = 74.\)
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Let S be the sphere of radius 1 centered at (1,2,3).
Find the distance from S to the plane x+y+z=0.
(Hint: Use Lagrange multipliers to find the distance from the plane to the center of the sphere)
Answers
The distance from S to the plane x+y+z=0 is sqrt(105)/7.
To find the distance from the sphere S to the plane x+y+z=0, we need to first find the center of the sphere S. We know that the center of the sphere S is (1, 2, 3) and the radius of the sphere is 1. We can use the equation of the plane x+y+z=0 to find the distance from the center of the sphere to the plane.
We can use Lagrange multipliers to find the distance from the center of the sphere to the plane. We need to minimize the function \(f(x, y, z) = (x-1)^2 + (y-2)^2 + (z-3)^2\) subject to the constraint x+y+z=0. Using Lagrange multipliers, we get the following system of equations:
2(x-1) = λ
2(y-2) = λ
2(z-3) = λ
x+y+z = 0
Solving these equations, we get x = 1-λ/2, y = 2-λ/2, and z = 3-λ/2. Substituting these values into the equation x+y+z=0, we get λ = 12/7. Substituting this value of λ into x, y, and z, we get the coordinates of the point on the plane closest to the center of the sphere: (5/7, 4/7, -9/7).
To find the distance from the center of the sphere to the plane, we can use the distance formula. The distance from the center of the sphere to the plane is given by the length of the vector connecting the center of the sphere to the point on the plane closest to the center of the sphere. Therefore, the distance from the sphere S to the plane x+y+z=0 is:
d = sqrt[(5/7 - 1)^2 + (4/7 - 2)^2 + (-9/7 - 3)^2] = sqrt[105/49] = sqrt(105)/7.
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help me please
show your solution
Answers
Hello,
\(1) \: - 24\)
\( 2) \frac{ - 24}{2} = - 12\)
\( 3)\frac{ - 12}{2} = - 6\)
\(4) \frac{ - 6}{2} = - 3\)
\(5) \frac{ - 3}{2} = - 1.5\)
Answer → -1,5
PLease explain this to me in your answer. It's the same as the previous post, don't answer unless if you actually know how to do this.
Answers
Answer:
the first point is (-3,0) the second is (0,-1)
Step-by-step explanation:
Using the standard normal distribution, what is the probability that z is between 0 and 1.1 ? 0.44 0.86 0.22 0.36 Using the standard normal distribution, what is the probability that z<1.5 ? 0.69 0.98 0.50 0.93 Which of the following is not a property of the normal distribution? The tails asymptotically approach the horizontal axis The mean, median, and mode are all equal It has a bell shape The area underneath the curve and to the right of the mean is 1
Answers
The probability that z is between 0 and 1.1 is 0.36. The probability that z is less than 1.5 is 0.9332. "The area underneath the curve and to the right of the mean is 1." is the inaccurate property.
1. Probability that z is between 0 and 1.1:
To find the probability, we need to calculate the area under the standard normal distribution curve between 0 and 1.1. By referring to a standard normal distribution table or using statistical software, we find that the probability is approximately 0.36.
2. Probability that z is less than 1.5:
Similarly, we need to calculate the area under the standard normal distribution curve to the left of 1.5. Using a standard normal distribution table or software, we find that the probability is approximately 0.9332.
3. Not a property of the normal distribution:
Among the given options, "The area underneath the curve and to the right of the mean is 1" is not a property of the normal distribution. In reality, the total area under the normal distribution curve is equal to 1, but it is not limited to the right of the mean. The distribution is symmetrical around the mean, and the total area is evenly split on both sides of the mean.
In summary, the probability that z is between 0 and 1.1 is approximately 0.36, the probability that z is less than 1.5 is approximately 0.9332, and the property that is not true for the normal distribution among the given options is "The area underneath the curve and to the right of the mean is 1."
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Asap!! step by step pls! After a new firm starts in business, it finds that it’s rate of profit (in hundreds of dollars) after t years of operations is given by P’(t)=3t^2+10t+6. Find the profit in year 4 of the operation.
Answers
Answer:
$ 7800
Step-by-step explanation:
P'(t) = 3t² + 10t + 6
\(P(t) = \int\limits^a_b {P'(t)} \, dt\)
For the 4th year, the limits are [3,4]
\(P(t) = \int\limits^4_3 {3t^2 + 10t + 6} \, dt\\\\= [\frac{3t^3}{3} + \frac{10t^2}{2} + 6t]^{^4}__{3}\\\\\)
\(=[\frac{3(4)^3}{3} + \frac{10(4)^2}{2} + 6(4)]-[\frac{3(3)^3}{3} + \frac{10(3)^2}{2} + 6(3)]\\\\=[\frac{3(64)}{3} + \frac{10(16)}{2} + 24]-[\frac{3(27)}{3} + \frac{10(9)}{2} + 18]\\\\= [64 + 5(16) + 24]-[27+5(9) + 18]\\\\= 168-90\\\\= 78\)
= $ 7800
An 8th grade class project involves decorating a rectangular box with the following dimensions.
length: 12 inches
width:834 inches
height:1012 inches
What is the total surface area of this box to the nearest hundredth?
Answers
Answer:1500
Step-by-step explanation: so i got the anwser 1539.2 and just rounded to the nearest hundredth which is 1500 hopefully it helps!
a) perform a linear search by hand for the array [20,−20,10,0,15], loching for 0 , and showing each iteration one line at a time b) perform a binary search by hand fo the array [20,0,10,15,20], looking for 0 , and showing each iteration one line at a time c) perform a bubble surt by hand for the array [20,−20,10,0,15], shouing each iteration one line at a time d) perform a selection sort by hand for the array [20,−20,10,0,15], showing eah iteration one line at a time
Answers
In the linear search, the array [20, -20, 10, 0, 15] is iterated sequentially until the element 0 is found, The binary search for the array [20, 0, 10, 15, 20] finds the element 0 by dividing the search space in half at each iteration, The bubble sort iteratively swaps adjacent elements until the array [20, -20, 10, 0, 15] is sorted in ascending order and The selection sort swaps the smallest unsorted element with the first unsorted element, resulting in the sorted array [20, -20, 10, 0, 15].
The array is now sorted: [-20, 0, 10, 15, 20]
a) Linear Search for 0 in the array [20, -20, 10, 0, 15]:
Iteration 1: Compare 20 with 0. Not a match.
Iteration 2: Compare -20 with 0. Not a match.
Iteration 3: Compare 10 with 0. Not a match.
Iteration 4: Compare 0 with 0. Match found! Exit the search.
b) Binary Search for 0 in the sorted array [0, 10, 15, 20, 20]:
Iteration 1: Compare middle element 15 with 0. 0 is smaller, so search the left half.
Iteration 2: Compare middle element 10 with 0. 0 is smaller, so search the left half.
Iteration 3: Compare middle element 0 with 0. Match found! Exit the search.
c) Bubble Sort for the array [20, -20, 10, 0, 15]:
Iteration 1: Compare 20 and -20. Swap them: [-20, 20, 10, 0, 15]
Iteration 2: Compare 20 and 10. No swap needed: [-20, 10, 20, 0, 15]
Iteration 3: Compare 20 and 0. Swap them: [-20, 10, 0, 20, 15]
Iteration 4: Compare 20 and 15. No swap needed: [-20, 10, 0, 15, 20]
The array is now sorted: [-20, 10, 0, 15, 20]
d) Selection Sort for the array [20, -20, 10, 0, 15]:
Iteration 1: Find the minimum element, -20, and swap it with the first element: [-20, 20, 10, 0, 15]
Iteration 2: Find the minimum element, 0, and swap it with the second element: [-20, 0, 10, 20, 15]
Iteration 3: Find the minimum element, 10, and swap it with the third element: [-20, 0, 10, 20, 15]
Iteration 4: Find the minimum element, 15, and swap it with the fourth element: [-20, 0, 10, 15, 20]
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Lashonna passed back 140 papers, if these papers were in stacks of 28 how many stacks of papers did lashonna pass back
Answers
By unitary method we can say that number of stacks of papers Lashona will pass back from 140 if each stack conatins 28 papers is 5.
According to the given question.
Total number of papers Lashonna passed back = 140
And one stack is made up of 28 papers.
As we know that, the unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Therefore,
By unitary method number of stacks of papers would be made from 140 if each stack conatins 28 papers
= 140/28
= 5
Hence, by unitary method we can say that number of stacks of papers Lashona will pass back from 140 if each stack conatins 28 papers is 5.
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Evaluate 9ab, for a = 5 and b =
- 7
Answers
Answer:
-315
Step-by-step explanation:
Plug in 5 as a and -7 as b into the term:
9ab
9(5)(-7)
Multiply:
= -315
So, the answer is -315.
\(\huge\boxed{\textsf{Hey there!}}\\\\\\\huge\boxed{\mathsf{9ab}}\\\huge\boxed{\mathsf{= 9(5)(-7)}}\\\huge\boxed{\mathsf{= 45(-7)}}\\\huge\boxed{\mathsf{= -315}}\\\huge\boxed{\frak{Answer: -315}}\huge\checkmark\\\\\huge\boxed{\textsf{Good luck on your assignment \& enjoy your day!}}\\\\\huge\boxed{\frak{Amphitrite1040:)}}\)
Pls help me i need this done tonight
Answers
Answer:
27 yd²
Step-by-step explanation:
Refer to attachment.
Hope it helps :)
What is the value of x?
Answers
Answer:
x = 68
Step-by-step explanation:
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Hailey opened her jar of coins and found 65 coins, all quarters and dimes. When Hailey counted them up, she determined that she had a total of $11.90. How many dimes did Hailey have??????? Help me please!!
Answers
The number of dimes Hailey has is 29 dimes.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation.
We have,
Number of dimes = x
Number of quarters = y
Now,
1 dime = $0.10
1 quarter = $0.25
We can make two equations.
x + y = 65 ____(1)
x = 65 - y _____(2)
0.10x + 0.25y = 11.90 ______(3)
Now,
Substituting (2) in (3).
0.10 (65 - y) + 0.25y = 11.90
6.5 - 0.10y + 0.25y = 11.90
6.5 + 0.15y = 11.90
0.15y = 11.90 - 6.5
0.15y = 5.4
y = 36
And,
x = 65 - y
x = 65 - 36
x = 29
Thus,
Hailey has 29 dimes.
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$1,200 is invested at a compound interest rate of 4% for 2 years. how much is the account at the end of the 2-year period? round to the nearest cent, if necessary.
Answers
After compounding annually, the balance amount after 2 years is $1298.
What is compound interest?
The amount of interest we earn after taking interest on interest is called compound interest.
Given,
Principal amount = $1200
Interest Rate = 4%
Time period N = 2 years
Assuming compounding is done annually, we can find the amount after 2 years using the following formula,
\(P_{N} = P_{0} (1+\frac{r}{k} )^{Nk}\)
where,
\(P_{N\\}\) is the amount in the account after N years
\(P_{0}\) is the principal amount
r is the annual interest rate
k is the number of compounding periods
Substituting the values in above equation,
\(P_{2} = 1200( 1 + \frac{0.04}{1}) ^{2*1}\) = $1297.92 = $1298
Therefore the amount in the account after 2 years, compounding annually is $1298.
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The length of a football field including the end zones is 48 feet longer than four times the length of a tennis
court. It is also 282 feet longer than a tennis court.
How long is the foorball field?
How long is the tennis court?
Answers
Answer:
T=78 feet (Tennis court)
360 feet (Football Filed)
Step-by-step explanation:
4T+48 = T+282
The length of the football field is 360 feet.
The length of the tennis court is 78 feet.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The length of a football field including the end zones is 48 feet longer than four times the length of a tennis court.
And, It is also 282 feet longer than a tennis court.
Let the length of the tennis court = x
So, The length of the football field = 48 + 4x
Here, The length of the football field is 282 feet longer than a tennis court.
So, We get;
⇒ 48 + 4x = 282 + x
⇒ 4x - x = 282 - 48
⇒ 3x = 234
⇒ x = 78
Thus, The length of the football field = 48 + 4x
= 48 + 4×78
= 48 + 312
= 360 feet
The length of the tennis court = x
= 78 feet
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What is 3 km = in miles?
Answers
3 km is equivalent to 1.86 miles.both are unit of measurement of distance.
To convert kilometers (km) to miles (m), you can use the conversion factor 1 mile = 1.609 kilometers. To convert 3 kilometers to miles, you would multiply 3 by 0.621371, which would give you the answer of 1.86 miles. As the kilometers is commonly used in metric system, while the miles is used in imperial system and is commonly used in the United States,
it's important to always make sure you are using the appropriate unit of measurement for your needs and to convert between units if necessary. Additionally, it's always good to double check your conversions by using a calculator or online conversion tool to ensure accuracy.
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You invest $2,000 into a savings account that gets 5% interest compounded yearly. How much money will you have after 7 years?
A.
$14,713.23
B.
$2,814.20
C.
$54,112.88
D.
$3,286.33
Answers
Answer:B
Step-by-step explanation:
$2000×1.05^7=$2814.20
Answer:
B
Step-by-step explanation:
P = $ 2000
r =5% = 0.05
t = 7 years
\(Amount=P*(1+\frac{r}{100}})^{t}\\\\=2000*(1+0.05)^{7}\\\\=2000*(1.05)^{7}\\\\=2000*1.4071\\\\\)
= $ 2814.20
The sum of three times the opposite of a number and -7?
What is the algebraic phrase?
Answers
Step-by-step explanation:
To find this algebraic phrase, we need to use the rules of algebra to express the given statement in mathematical notation. The given statement says that the sum of three times the opposite of a number and -7 is some unknown value.
We can start by expressing the opposite of a number in mathematical notation. The opposite of a number is equal to the number multiplied by -1. So, we can write the opposite of a number as -x.
Next, we can express the fact that the opposite of a number is being multiplied by 3. To do this, we can simply write 3(-x) to represent three times the opposite of a number.
Finally, we can express the fact that -7 is being added to the result. To do this, we can simply write 3(-x) - 7 to represent the sum of three times the opposite of a number and -7.
Therefore, the algebraic phrase for the sum of three times the opposite of a number and -7 is 3(-x) - 7.
You bought 8 bags of dog food and 2 boxes of dog treats for a total of $135. Your friend bought 6 bags of dog food and 4 boxes of dog treats for a total of $110. Each bag of dog food costs the same amount. Each box of dog treats costs the same amount. Write a system of equations, then find the cost of one bag of dog food.
Answers
Answer:
8f + 2t = $135 - - (1)
6f + 4t = $110 - - (2)
$16
Step-by-step explanation:
Given that:
f = dog food
t = dog treat
8f + 2t = $135 - - (1)
6f + 4t = $110 - - (2)
From (1)
4f + t = 67.5
t = 67.5 - 4f
Put t = 67.5 - 4f in (2)
6f + 4(67.5 - 4f)= 110
6f + 270 - 16f = 110
-10f = 110 - 270
-10f = - 160
f = 16
One bag of dog food = $16
4m - 8 = 10 - 2m
solve for m
Answers
Answer:
Step-by-step explanation:
4m - 8 = 10 - 2m
6m - 8 = 10
6m = 18
m = 3
Answer:
m=3
Step-by-step explanation:
4m-8=10-2m
+2 +2
6m-8=10
+8 +8
6m=18/6
m=3
4(3)-8=10-2(3)
4=4
Which rational number has the least value?
Answers
A rational number a/b is said to be in the lowest form or simplest form if a and b have no common factor other than 1. In other words, a rational number ab is said to be in the simplest form, if the HCF of a and b is 1, i.e., a and b are relatively prime.
\[ \frac{16}{s^{2}\left(s^{2}+6 s+8\right)+16} \] i) Determine the gain of the system at an overshoot of \( 15 \% \) and please give me the screenshot II) Told the the damping ratio and natural freque
Answers
From the given polynomial, we have: \(\zeta = \frac{6}{2\sqrt{2}}\) and \(\omega_n = \sqrt{8}\).
To determine the gain of the system at an overshoot of 15% for the given transfer function:
\[ G(s) = \frac{16}{s^2(s^2 + 6s + 8) + 16} \]
we need to find the peak value of the step response, which corresponds to the overshoot.
1. To find the overshoot, we first need to convert the transfer function into the time domain by taking the inverse Laplace transform. However, since the transfer function does not allow for a direct inverse Laplace transform, we can use numerical methods to approximate the overshoot.
2. We can use the "step" function in MATLAB to simulate the step response of the system and find the overshoot. Here's an example code snippet:
```matlab
sys = t f(16, [1 6 8 16]);
t = 0:0.01:10; % Time vector for simulation
[y, ~] = step(sys, t); % Simulate step response
peak_value = max(y); % Find the peak value
overshoot = (peak_value - 1) / 1 * 100; % Calculate overshoot in percentage
```
By running this code in MATLAB, we can obtain the value of the overshoot.
Regarding the damping ratio and natural frequencies:
The damping ratio (\(\zeta\)) and natural frequencies (\(\omega_n\)) of a second-order system can be determined from the coefficients of the second-order polynomial in the denominator of the transfer function.
In the given transfer function, the denominator polynomial is \(s^2 + 6s + 8\).
Comparing this polynomial with the standard form \(s^2 + 2\zeta\omega_ns + \omega_n^2\), we can determine the values of \(\zeta\) and \(\omega_n\).
By running the code snippet provided above in MATLAB, you can plot the step response of the system and visualize it, including the overshoot.
Please note that the actual values of the gain, overshoot, damping ratio, and natural frequencies can be determined by running the simulation in MATLAB with the specific transfer function.
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Helppppp!!!!!!!!!
I need this before midnight
Answers
Answer:
a) 9am
b) 10am
c) 50 miles
d) 30 minutes
e) 11:30
f) 90 miles
Convert 90% to a decimal and round to the nearest thousandth place
Answers
Answer: .9
Step-by-step explanation:
You divide by 100 and get .9
Answer:
90% = 0.900
Step-by-step explanation:
the basic rule of thumb for conversions of percentages into decimals is to place the period two spaces to the right of the first number in the percentage.
The answer is 20 percent
Answers
Answer:
You got it!
Step-by-step explanation:
(✪ω✪)o
measurements I suck at it
Answers
Answer:
a = 65
b = 73
c = 17
d = 138
Step-by-step explanation:
d + 42 = 180
d = 138
c + d + 90 + 115 = 360
c + 138 + 205 = 360
c + 343 = 360
c = 17
90 + b + c = 180
90 + b + 17 = 180
b + 107 = 180
b = 73
a + b + 42 = 180
a + 73 + 42 = 180
a + 115 = 180
a = 65
Answer:
a is 65
b is 73
c is 17
d is 138
Assume the life of a type of mice (in weeks) follows exponential distribution with B (beta) = 10. What is the mean and standard deviation of the lifetime of this type of mice? 7.10 10.12 -10,10 10.10 7.12 -12,7 -10,12
Answers
Assuming that the life of a type of mice (in weeks) follows an exponential distribution with B (beta) = 10, the mean and standard deviation of the lifetime of this type of mice are 10 and 10, respectively.
The lifetime of this type of mice follows an exponential distribution with β (beta) = 10. To find the mean and standard deviation of the lifetime, we can use the properties of an exponential distribution.
For an exponential distribution with parameter β, the mean (μ) is equal to β, and the standard deviation (σ) is also equal to β.
Mean (μ) = β = 10
Standard Deviation (σ) = β = 10
So, the mean and standard deviation of the lifetime of this type of mice is 10 and 10, respectively. The answer is 10,10.
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Is x=5 a solution to the equation - 3x + 10 = 5? Explain you reasoning. HTML Editora
Answers
Answer:
No.
Step-by-step explanation:
-3 multiplied by 5 is -15. adding 10 to that equals -5, not 5.
6. Chester paid a $30 membership fee to a toddler gym and $8 for each of 6 tumbling
classes for his son. The expression 30 + 8 x 6 can be used to evaluate the total cost
of the program. Is the cost $228 or $78? Explain.
Answers
Answer:
$78
Step-by-step explanation:
pemdas says we multiply then add
8x6+30
48+30
78
It is $78 and not $228 because we do not add first when doing order of operations and when we multiply first we get 78 also it’s each tumbling is 8 dollars and there were 6 of them so we just multiply the cost by each tumbling and add the membership fee after.
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