Answers
Answer:
104 degrees
Step-by-step explanation:
First let's start by finding Angle DGC. Since Angle FGD and DGC are a linear pair, Angle DGC = 180-90 = 90 degrees.
Next we need to find GDC
Angles in a triangle add up to 180 degrees therefore...
Angle GDC + DCG + DGC = 180
Plug in the values we found into the equation
Angle GDC + 37 + 90 = 180
Angle GDC + 127 = 180
Angle GDC = 53
Therefore Angle ADC = 53 + 51 = 104 degrees
Since ABCD is a parallelogram, then opposite angles are equal therefore...
Angle B = 104 degrees
Related Questions
4. What is/are the basis (bases) for directional hearing? a. Differences in the intensity of sound at the two ears b. Differences in the arrival time of sound at the two ears c. Differences in the timbre of the sound at the two ears d. Differences in the arrival time and the intensity of the sound at the two ears Sensory organs 5. What are the primary function(s) of the outer hair cells? a. Send information about sound to the brain b. Outer hair cells act as motors that increase the sensitivity of the ear c. Outer hair cells are sensitive to head movements d. The way the outer hair cells are innervated determine their function
Answers
4. The basis for directional hearing involves differences in the arrival time and the intensity of the sound at the two ears.
5. The primary function of the outer hair cells is to act as motors that increase the sensitivity of the ear.
4. The basis for directional hearing involves differences in the arrival time and the intensity of the sound at the two ears.
This means that the brain processes the information from both ears and determines the location of the sound based on these differences.
When sound reaches one ear before the other, it provides the brain with a cue for determining the direction of the sound.
Additionally, the brain can determine the direction of sound by comparing the intensity of sound at both ears.
5. The primary function of the outer hair cells is to act as motors that increase the sensitivity of the ear.
The primary function of the outer hair cells is to act as motors that increase the sensitivity of the ear. These cells can amplify the sound that enters the ear by changing their shape in response to sound waves.
This amplification helps to improve the overall sensitivity of the ear and allows for better detection of soft sounds.
Additionally, the outer hair cells are sensitive to head movements and can help to adjust the way that sound is processed in the ear.
The way that the outer hair cells are innervated can also determine their function and how they contribute to the overall function of the ear.
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Find the average rate of change
f(x)=x^2−6x+8 when x2=1 and x1=3
Answers
Answer:
Average rate of change for given function is: -2
Step-by-step explanation:
Given function is:
\(f(x)=x^2-6x+8\\x_12= 1\\x_1 = 3\)
In order to find the rate of change, we have to find the value of function on x1 and x2
So,
\(f(x_1) = (3)^2-6(3)+8 = 9-18+8 = -1\\f(x_2) = (1)^2-6(1)+8 = 1-6+8 = 3\)
The formula for finding the rate of change is:
\(Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}\)
Putting the values, we get
\(=\frac{3-(-1)}{1-3}\\=\frac{3+1}{-2}\\=\frac{4}{-2}\\= -2\)
Hence,
Average rate of change for given function is: -2
Answer:
Average rate of change for given function is: -2
Step-by-step explanation:
$2000 are invested in a bank account at an interest rate of 10 percent per year. Find the amount in the bank after 9 years if interest is compounded annually. Find the amount in the bank after 9 years if interest is compounded quaterly. Find the amount in the bank after 9 years if interest is compounded monthly. Finally, find the amount in the bank after 9 years if interest is compounded continuously. Question Help: Video Message instructor Calculator Submit Question
Answers
The amount in the bank after 9 years with an interest rate of 10 percent per year, compounded annually, is $3,128.08.
What is compound annually?
Compound annually, specifically, refers to the frequency at which interest is added to the principal. In this case, the interest is compounded once a year. At the end of each year, the interest earned is added to the principal, and subsequently, interest for the following year is calculated based on the new total. This compounding process continues annually for the specified duration.
Compound interest refers to the process of earning interest not only on the initial amount (principal) but also on the accumulated interest from previous periods. In other words, it involves reinvesting the interest earned, leading to exponential growth of the principal amount over time.
To find the amount in the bank after 9 years with annual compounding, we use the formula for compound interest:
\(A = P(1 + r/n)^(nt).\)
Given:
P = $2000,
r = 10% = 0.10,
n = 1 (compounded annually),
t = 9 years.
Plugging in these values into the formula, we get:
\(A = 2000(1 + 0.10/1)^(1*9)
= 2000(1.10)^9\)
= $3,128.08 (rounded to two decimal places).
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Gina ran two laps around the track in 99 seconds. How long did it take her to run each lap if she ran the first one 8.5 meters per second and the second lap at meters per second
Answers
HELP PLEASEEEE!!!!!!!
Answers
Answer:
The first one with the sequence 0.25,1,4,16
Answer:
the first one
Step-by-step explanation:
A weather balloon holds 2,600 cubic meters of helium. the density of helium is 0.1755 kilograms per cubic meter. how many kilograms of helium does the balloon contain? please round your answer to the nearest whole number. only enter a numerical value in the answer blank.
Answers
Answer:
456 kg
Step-by-step explanation:
Mass is the product of volume and density.
Mass of HeThe product of volume and density is ...
M = Vρ
M = (2600 m³)(0.1755 kg/m³) ≈ 456 kg
The balloon contains about 456 kg of He.
Give four numbers calculate the arithmetic mean
Answers
Answer:
if four number are added together their sum is divided by four
Step-by-step explanation:
PLEASE SHOW WORK!!
I WILL MARK YOU BRAINLIEST!! **ESPECIALLY IF YOU CAN EXPLAIN IT!
Answers
Step-by-step explanation:
x^2=9/49
√x^2=√9/49
x=+or-3/7
you go to the pet store and see 9 cats and 12 dogs.if this ratio stays the same and there are 108 cats in the store,how many dogs would be in the store?
Answers
Answer:
144
Step-by-step explanation:
Because if you multiply 9*12=108 and 12*12=144
If the function g(x)=ab^x represents exponential growth
Answers
If the function g(x) = abˣ represents exponential growth, then b must be greater than 1.
The value of a represents the initial value, and b represents the growth factor. When x increases, the value of the function increases at an increasingly rapid rate.
The formula for exponential growth is g(x) = abˣ, where a is the initial value, b is the growth factor, and x is the number of periods.
The initial value is the value of the function when x equals zero. The growth factor is the number that the function is multiplied by for each period of growth.
It is important to note that the growth factor must be greater than 1 for the function to represent exponential growth. Exponential growth is commonly used in finance, biology, and other fields where there is growth over time. For example, compound interest is an example of exponential growth. In biology, populations can grow exponentially under certain conditions.
The growth rate of the function g(x) = abˣ, is proportional to the value of the function itself. As the value of the function increases, the growth rate also increases, resulting in exponential growth.
The rate of growth is determined by the value of b, which represents the growth factor. If b is greater than 1, then the function represents exponential growth.
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Probability and Statistics - Colored Points Six points are drawn from uniform distribution U10,1]. The first three points are marked green and the next three are marked red on the real line. What is the probability that all adjacent points differ in color? Pick one of the choices 1/20 1/10 1/6 1/5 Clear selection Probability and Statistics - Dice Consider an unbiased six-faced dice with integers 1 through 6 marked on the faces. Assume the dice is thrown repeatedly, until the sum of the numbers cast till that point is a multiple of 6. What is the expected number of throws? Pick one of the choices 03 4.5 Clear selection
Answers
The probability that all adjacent points differ in colour is \(\frac{1}{5}\).
What is probability ?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
Have given ,
We have first three colour Green that is g1 , g2 and g3
And We have next three colour red that is r1 , r2 and r3
The probability that all adjacent points differ in colour = 3! * \(^{4}C_{3}\) 3! / 6!
=> \(\frac{ 3! * 4! *3!}{6!}\)
=> \(\frac{1}{5}\)
The probability that all adjacent points differ in colour is \(\frac{1}{5}\).
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ill give top if u answer correct
Which other expression has the same value as (-14)-(-8)
Answer choices:
(-14)+8
14-(-8)
14+(-8)
(-14)+(-8)
Answers
Answer:
the last one (-14)+(-8)
Step-by-step explanation:
-14 - -8 any time you have minus a negative it's a + sign
so
-14+8 therefore it's the first one.
5/6-2/9 help i got to turn it in
Answers
Answer:
180
that is the answer I got I hope it helps
Answer:
= 11/18
Step-by-step explanation:
5/6 = 15/18
2/9 = 4/18
Then:
5/6 - 2/9 = 10/18 - 4/18 = (15-4)/18
= 11/18
4/10
Jacob leaves his summer cottage and drives home. After
driving for 5 hours, he is 112 km from home, and after 7 hours,
he is 15 km from home. Assume that the distance from home
and the number of hours driving form a linear relationship.
What is the slope and what does it represent?
Answers
Answer:
The slope is -48.5, and this shows that every hour he drives 48.5 km closer to his home.
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
1. Which of the following lines is parallel to the line y = -3/2x +1 and contains the point (4,2)?
Answers
Answer:
The answer should be y = -\(\frac{3}{2}\)\(x\) + 8, but its not one of the answers, so check the question again.
Step-by-step explanation:
If the second line is parallel, then the gradient will be the same:
y = -\(\frac{3}{2}\)\(x\) + c
Find what c is (y-intercept) by inputting the given point into the equation (4,2):
2 = (-\(\frac{3}{2}\) x 4) + c
2 = -6 + c
c = 8
Find the missing number so that the equation has no solutions. -4(-X + 8) = -3(2x + 7) + __x + 9
Answers
In order to have an equation with no solution, the variable x should not appear in the equation and the final sentence must be false.
So, using the variable 'y' to represent the missing number and simplifying the equation, we have:
\(\begin{gathered} -4(-x+8)=-3(2x+7)+yx+9 \\ 4x-32=-6x-21+9+yx \\ 4x+6x-yx=32-21+9 \\ 10x-yx=20 \\ (10-y)x=20 \end{gathered}\)Since we want the variable x to disappear (this way we will have 0 = 20, which is false), we need the coefficient (10 - y) to be zero:
\(\begin{gathered} 10-y=0 \\ y=10 \end{gathered}\)So the missing number is 10.
help? please help me?
Answers
Answer:
D/ 14.00
Step-by-step explanation:
Since the first hour pays $14 that shows the hourly wage. Also the difference between the other hours is 14. Example 3rd hour 42 2nd hour 28. 42-28= 14.
.2. Determine whether the feasible set for each of the following systems of constraints is convex, and if not, indicate points x^1 and x² that violate definition. a) (x1)² + (x2)² > 9
x1 + x2 ,10
x1, x2 > 0
Answers
The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.
a) (x1)² + (x2)² > 9
This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.
b) x1 + x2 ≤ 10
This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.
c) x1, x2 > 0
This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.
Now, let's analyze the intersection of these constraints:
Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).
To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.
If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).
Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
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Rewrite The following linear equations in slope intercept form y+2=4(x-3)
Answers
Answer:
the answer is y=4x-14
Step-by-step explanation:
I know that writing slope intercept form is extremely easy as you follow the y=mx+b formula. All that was really required was to simplify the equation and isolate the X and Y on separate sides of the equal. I hope this helps
x = ?
Do the side lengths for a pythagorean triangle?
Answers
Answer:
x = 34
Step-by-step explanation:
Using Pythagorean Theorem ,
\( {x}^{2} = {16}^{2} + {30}^{2} \)
\( = > {x}^{2} = 256 + 900 = 1156\)
\(x = \sqrt{1156} = 34\)
Yes. All the side lengths of the triangle form a Pythagorean Triplet.
Answer:
X=34
Step-by-step explanation:
x^2=30^2+16^2
x^2=900+256
x^2=1156
take the square root of both sides
X=√1156
X=34
What is a transversal in math?
Answers
Answer:
In geometry, a transversal is a line that intersects two or more other (often parallel ) lines.
Step-by-step explanation:
4. Simplify
(x^-5x+1)-(-2x+3x-7)
Answers
Answer:
Ur answer should be 2.
PLEASE HELP
Given: an
Find term number 41 in the arithmetic sequence
an = 9n - 6
Answers
Hello!
We are going to find the 41st term in the arithmetic sequence given to us.
From the equation, we were given:
an = 9n - 6
Note: the variable n represents the term number in our sequenceThe equation above would be our arithmetic sequence equation.
We need to find out what the 41st term is, in which we will plug in 41 to n in our equation above and solve.
Solve:
an = 9n - 6
Plug in 41 to n.
a(41) = 9(41) - 6
Solve.
9(41) - 6
369 - 6
363.
Therefore, the 41st term in the sequence is 363.
Answer:
363
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\(\bf \sqrt{49}\times \sqrt{49}\)
Answers
\( = 49\)
Step-by-step explanation:
\( \sqrt{49} \times \sqrt{49} \)
When a square root of an expression is multiplied by itself, the result is that expression\( = 49\)
hope it helps
Answer:
\(\sf\longmapsto \: 49\)
Step-by-step explanation:
\(\sf\longmapsto \sqrt{49} \times \sqrt{49} \)
\(\sf\longmapsto \: {49} \)
Similar:
Similarity Statement:
Scale Factor:
Please help, NO LINKS
Answers
Answer:
No similarity and no scale factor (I could be wrong)
Step-by-step explanation:
Don't worry, no links :)
You would see if they are similar if they have similar sides. so if there is an equal ratio, to both, they are similar. Sometimes they may not look similar until you rotate them. So for the following, you can see that if E were on the bottom, it would look like the triangle with N and M on the bottom you can ensure this to look at the ratios of each side. To find the scale factor, it depends on which way you are going. are you going from GEF to MNL or MNL to GEF? To me, it doesn't look like there is a scale factor, but I could be wrong.
A multiplication expression with a product of 108,064 is shown below. What is the missing digit? four thousand nine hundred twelve times blank two 2 3 4 5. the answer is 108,064
Answers
Answer:
???????????
Step-by-step explanation:
sorry cant help
what is (−2.1)⋅(−1.4)
Answers
So (-2.1)*(-1.4) = 2.94
PLEASE HELP!!!! I BEG YOU!!!
What is the solution to the system of equations graphed below? Give the answer as a coordinate point (x, y)
Answers
Answer:
(1,3)
Step-by-step explanation:
The solution to a system of equations graph is the point of intersection of the two lines.
In this case the point where both lines meet is at x = 1 and y = 3
hence the answer being (1,3)
The area of this rectangle is given by the quadratic function
A = 50W - W2
.
What is the reasonable domain for this function?
Answers
The reasonable domain for this function is 0 < x < 50
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
Given;
A = 50W - W2
The area of a rectangle cannot be negative;
The practical domain of A is determined when;
50W-W^2>0
Taking common factor W
W(50-W)>0
Since W must be positive W>0
50-W>0
Or equivalently
50>w
W<50
The total interval is
0<W<50
Therefore, the domain of the function will be 0 < x < 50
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what two numbers add to -11 but multiply to -180
Answers
First let's start with the equation:
x + y = -11
xy = -180
We can substitute -11 in for x + y to get:
xy = -180
x(-11) = -180
Now let's divide both sides by -11
x = 180/11
x ≈ 16.36
We can now use the equation x + y = -11 to solve for y
y = -11 - 16.36
y ≈ -27.36
The two numbers that add to -11 but multiply to -180 are 16.36 and -27.36.