Answers
Answer:
\( b = \sqrt{2} \)
Step-by-step explanation:
\( \cos \: 60 \degree = \frac{b}{2 \sqrt{2} } \\ \\ \frac{1}{2} = \frac{b}{2 \sqrt{2} } \\ \\b = \frac{2 \sqrt{2} }{2} \\ \\ b = \sqrt{2} \)
Answer:
sqrt(2)
Step-by-step explanation:
Related Questions
What is f ( x ) = 2x + 2
A .4
B . 2
C . -2
Pick only 1 answer !!! Thank you
Answers
Answer:
X = -1 (unsure as to how this is not an answer but I have checked my work)
Step-by-step explanation:
( f(x) = y )
1. y = 2x + 2
-2 -2
2. -2 = 2x
/2 /2
3. -1 = x
Evaluate the double integral ∬R(3x−y)dA, where R is the region in the first quadrant enclosed by the circle x2+y2=16 and the lines x=0 and y=x, by changing to polar coordinates.
Answers
Answer:
\(\displaystyle 64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\approx3.66\)
Step-by-step explanation:
\(\displaystyle \iint_R(3x-y)\,dA\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r\cos\theta-r\sin\theta)\,r\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r^2\cos\theta-r^2\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0r^2(3\cos\theta-\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\frac{64}{3}(3\cos\theta-\sin\theta)\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\biggr(64\cos\theta-\frac{64}{3}\sin\theta\biggr)\,d\theta\)
\(\displaystyle =\biggr(64\sin\theta+\frac{64}{3}\cos\theta\biggr)\biggr|^\frac{\pi}{2}_\frac{\pi}{4}\\\\=\biggr(64\sin\frac{\pi}{2}+\frac{64}{3}\cos\frac{\pi}{2}\biggr)-\biggr(64\sin\frac{\pi}{4}+\frac{64}{3}\cos\frac{\pi}{4}\biggr)\\\\=64-\biggr(64\cdot{\frac{\sqrt{2}}{2}}+\frac{64}{3}\cdot{\frac{\sqrt{2}}{2}}\biggr)\\\\=64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\biggr\\\\\approx3.66\)
A survey found that 27% of high school students and 94% of teachers and school employees drive to school. The ratio of students to employees is about 10 to 1. Roger states
Answers
The complete question statement is: A survey found that 27% of high school students and 94% of teachers and school employees drive to school. The ratio of students to employees is about 10 to 1. Roger states that the number of students who drive to school is greater than the number of teachers and employees who drive to school. Explain how Roger’s statement could be correct.
Answer and Explanation:
What is given;
Students 27%. (s)
Teachers and employees 94%. (t)
The ratio between these two variable is 10:1, this means that for every 10 students there's one employee only, that is, students are 10 times more than teacher and employees.
So, 27% of 10 students is 2.7 students, and 94% of 1 employee is 0.94 employees and teachers. So, if there are 2,000 students, there must be 200 teachers, and the number of students that have cars are 0.27(2000)=540, and the number of teacher and employees that have cars are 0.94(200)=188.
As you can observe, with this ratio and percentages, the number of students who drive to school is greater than the number of teachers and employees who drive to school. That's why Roger's statement is correct.
HELP PLEASE all I need is the answer of b and c. The whole of the table is correct
Answers
b. You have a table that says 1-6 x 1-6 multiply 6x6 to get 36, that is your total number of squares. This number will also be our denominator.
Now you need to count the number of 1s (just the blue ones). You have 10 number 1s. This will be our numerator.
Let’s combine our two numbers into a fraction. Our numerator of 10 and denominator of 36 = 10/36
We need to simplify this number since it is not in its smallest possible form. A number that will factor into both 10 and 36 is 2.
After dividing both the top and bottom by 2 we get a simplified fraction of 5/18. This is our answer.
Part C.
First thing to know is that we already have the denominator of these fractions, it’s 36 all of the fractions we find will use the denominator 36.
Let’s start with 2, we have 8/36 which simplifies to 2/9
Next, 3: we have 6/36 which simplifies to 1/6
Next 4: we have 4/36 which simplifies to 1/9
Next 5: we have 2/36 which simplifies to 1/18
So it looks like the number 5 is the one that will simplify to become our answer!
which function table shows points that produce a line wz nith zero slope ?
Answers
A line with zero slope is a line that have the same value of y, the response variable, for any value of x, the independent variable.
For example:
x | y
-----------
0 | 2
1 | 2
10 | 2
50 | 2
If we calculate the slope, we will have:
\(m=\frac{y_2-y_1}{x_2-x_1}\)As y2=y1 for any point, the slope is 0.
Camden has a loyalty card good for a 17% discount at his local hardware store. What number should he multiply the prices on the tags by to find the price he would have to pay, before tax, in one step?
Answers
Answer:
0.83Step-by-step explanation:
Let the price is x.
With 17% discount it becomes:
x - 17% of x =x - 0.17x = 0.83xThe number we need is 0.83
Solution,
Assume That The Price is x
When Will Put It in Equation,
\( \frak{ \bigstar}{ \rm{ {We \: Will \: Get,}}}\)
\({ \longmapsto{ \sf{x-17 \% \: of x =}}}\)\({ \longmapsto { \sf{x-0.17x}}}\)0.83Hence, Required Price is “0.83”
PLS HELP GIVING 50 POINTS
Answers
(2)/19
When we divide the fraction 2/19, the quotient is .105 . . . We will only include three digits past the decimal point since we must round to the nearest tenth. Because 0 is in the hundredths place, which is less than 4, we must remove all the digits after .1.
Therefore, your answer is: .1
what are the solutions of 4x ^ 2 - 8x + 5 equals 0
Answers
Answer: C
Step-by-step explanation:
Apply the quadratic formula \(\frac{-(-8) +/- \sqrt{-8^2-4(4)(5)} }{2(4)} = \frac{8 +/- \sqrt{-16} }{8} = ({1 + i})and(1-i)\)
Divide the two answers by 2, I forgot to put that and it wont let me edit. The answer is C, not B
Answer:
Step-by-step explanation:
Answer; x= 2+i/2 or x=2-i/2
The speed of light is 186,000 miles per second. About how many miles does light travel in an hour? 5.2 × 10^1 miles 3.1 × 10^3 miles 1.1 × 10^7 miles 6.7 × 10^8 miles
Answers
Hey there! I'm happy to help!
We see that light travels 186,000 miles per second. How many miles is this per minute. Well, there are 60 seconds a minute, so we multiply by 60!
186,000×60=11160000
And there are 60 minutes in an hour, so we multiply by sixty again!
11160000×60=669600000
Now, we need to write this in scientific notation. To do this, we move the decimal back enough places to have a one digit number, and we multiply that one digit number by 10 to the power of how many places you moved the decimal back.
In the number 669600000 we can move the decimal point back 8 times which gives us 6.696 (we don't need the zeroes after a decimal) multiplied by 10 to the 8th power because we moved the decimal back eight places.
This can be written as 6.696×10^8, which is closest to the answer option 6.7×10^8 miles.
Have a wonderful day! :D
Find two positive angles and two negative angles that are coterminal with the given angle and less than 1080 but greater than 720.
Answers
Answer:
The correct answer is 450°, 810°, -270° and -630°.
Step-by-step explanation:
According to the given scenario, the calculation of the two positive angles and two negative angles i.e. coterminal is as follows:
The coterminal angles are the angles in which the difference could be 360 degrees or the multiples of 360 degrees
For 90 degrees, the two positive angles are
a. 90° + 360°
= 450°
450° + 360°
= 810°
b. The two negative angles are
= 90° - 360°
= -270°
-270° - 360°
= -630°
HELP ME PLEASE !!!!!
Answers
Answer:
C (and D)
Step-by-step explanation:
The multiplication property of equality says the value of the variable is unchanged when both sides of the equation are multiplied by the same value.
In A, no property of equality is involved. The two equations are for different lines.
In B, the subtraction property of equality is used to subtract 9 from both sides of the equation.
In C, the multiplication property of equality is used to multiply both sides of the equation by 3.
In D, the division property of equality is used to divide both sides of the equation by 5. (This is equivalent to using the multiplication property to multiply both sides of the equation by 1/5.)
__
If you're allowed one choice, the best selection is C. If multiple choices are allowed, both C and D are correct answers.
Question 2: Which statements about functions g(xx² - 4x +3 and f(x) = x² - 4x are true? Select all
that apply.
Answers
The functions g(x) = x² - 4x + 3 and f(x) = x² - 4x are:
The functions have the same range.
The functions have the same domain.
The functions have the same x-intercepts.
Let's analyze the given functions g(x) = x² - 4x + 3 and f(x) = x² - 4x and determine which statements about them are true.
Here are the options:
The functions have the same graph.
The functions have the same range.
The functions have the same domain.
The functions have the same vertex.
The functions have the same y-intercept.
The functions have the same x-intercepts.
The functions have the same graph:
This statement is false. While both functions are quadratic functions, their additional terms make them different. g(x) has an additional constant term (+3) compared to f(x).
Their graphs will be different, with g(x) being shifted upward by 3 units compared to f(x).
The functions have the same range:
This statement is true.
Both functions are quadratic functions, and their range will be the same. The range of a quadratic function is either all real numbers (if the parabola opens upward) or the set of real numbers greater than or equal to (or less than or equal to) the vertex of the parabola.
The functions have the same domain:
This statement is true.
The domain of both functions, unless restricted by any other factors, is all real numbers.
Quadratic functions have a domain of (-∞, ∞).
The functions have the same vertex:
This statement is false.
The vertex of a quadratic function is determined by the values of "a," "b," and "c" in the general form of the quadratic function (ax^2 + bx + c).
Since g(x) has an additional constant term, its vertex will be different from the vertex of f(x).
The functions have the same y-intercept:
This statement is false.
The y-intercept of a function is the value of y when x = 0.
For f(x), when x = 0, we have f(0) = (0)² - 4(0) = 0.
For g(x), when x = 0, we have g(0) = (0)² - 4(0) + 3
= 3.
Their y-intercepts are different.
The functions have the same x-intercepts:
This statement is true.
To find the x-intercepts of both functions, we set y (or f(x) and g(x)) equal to zero and solve for x.
The quadratic equation x² - 4x + 3 = 0 can be factored as (x - 1)(x - 3) = 0, giving x = 1 and x = 3 as the x-intercepts.
Both functions have the same x-intercepts.
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question is pictured below, need to learn steps to solve this and I dont have my book with me
Answers
However, I can still give you some general steps to solve a math problem in 200 words.
Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.
Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.
Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.
Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.
Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.
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Noah has $200.00 He spends $ 120.00 on a new coat . What percent of his money does Noah spend on his new coat.
Answers
Answer:
Step-by-step explanation:
120/200=.6(100)
=60
Which choice has an estimated product of 24,000?
203 x 12
301 x 77
108 x 2
405 x 45
Answers
hope this helps and stay safe
Find the value of x, 6,4, 3x, 4x+1
Answers
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
6+|2x-11|=-37
Solve for x
Answers
Answer:
X=16 and X=21
Step-by-step explanation:
6 + 2x-11 = -37
-6 -6 2x-11 =-43
+11 +11 2x =32
x=16
6+ 2x- 11 = 37
2x-11=31
+11 +11 2x=42
x =21
haya tres enteros pares consecutivos tales que 6 veces el primer entero sean 10 más que la suma del segundo y el tercero
Answers
So the three integers are 4, 6, and 8 such that 6 times the first integer is 10 more than the sum of the second and the third integers.
What is integer?An integer is a whole number that does not have any fractional or decimal parts. Integers include positive numbers (1, 2, 3, etc.), negative numbers (-1, -2, -3, etc.), and zero (0).
Here,
Let's call the first even integer x. Since the three integers are consecutive even integers, the second and third integers are x + 2 and x + 4, respectively.
From the problem statement, we know that:
6x = (x + 2) + (x + 4) + 10
Simplifying the right side of the equation:
6x = 2x + 16
Subtracting 2x from both sides:
4x = 16
Dividing both sides by 4:
x = 4
Therefore, the three consecutive even integers are:
x = 4
x + 2 = 6
x + 4 = 8
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Complete question:
"There are three consecutive even integers such that 6 times the first integer is 10 more than the sum of the second and the third integers." find the integers.
A baseball weighs 25.75 ounces less than a bat. Write an equation the represents the relationship between the weight of a baseball and a bat in terms of the weight of the box,w.
Answers
Answer:
Step-by-step explanation:
So if a baseball weighs 25.75 ounces less than the bat and it says what is the relationship between the ball and the bat so if the baseball weighs less than the bat then that would be 25.75<B=W I believe
Put the following equation of a line into
slope-intercept form, simplifying all
fractions.
8y - 2x =-40?
Answers
-2x + 2x = 0
Our equation becomes:
8y = 2x - 40
Now, we divide all sides by 8 to find that:
y = 1/4x - 5
In simplified form, our expression is:
y = 1/4x - 5
These two lines are parallel. Write an equation for each.
УТ
y
5
4
3
N
1
2 3 4 5 6
7
8
9
10 11 x
1
1
N
-2
-3
4 (0.-3.2)
-5
Answers
Answer:
y = 0.8xy = 0.8x -3.2Step-by-step explanation:
Each line has a rise of 4 units for each run of 5 units to the right. That makes the slope be ...
m = rise/run = 4/5 = 0.8
The top line shows a simple proportional relationship, so its equation is ...
y = 0.8x . . . . . top line
The bottom line has the same slope and a y-intercept of -3.2. Its slope-intercept form equation is ...
y = mx +b . . . . . line with slope m and y-intercept b
y = 0.8x -3.2 . . . . bottom line
A baker sells 4 cookies for $3. The price for 10 cookies is $6. Is the relationship
between the cost and the number of cookies proportional? Explain.
Answers
Suppose sam deposited 1000$ every month in the beginning for his retirement fund for 20 years at 5% compounded monthly. What is value of N
Answers
To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.
To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.
Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.
The formula to calculate the future value of a series of monthly deposits is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value of the investment,
P is the monthly deposit amount,
r is the monthly interest rate, and
n is the number of deposits.
In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.
By rearranging the formula, we can solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Plugging in the values, we get:
n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)
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Find the surface area
Answers
Answer: 120 yds
Step-by-step explanation:
48+30+24+18+120 yds
Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answers
Answer:
Step-by-step explanation:
Note: If p(a) = 0 then (x - a) is a factor of p(x)
given that f(-1), f(-2) are zeros of f(x) find the missing values of these coefficients p, q
f(x) = x³ + px² - qx - 4
After finding the values of the coefficients factor and find the solutions of x1, x2 and x3.
Answers
Answer:
Since f(-1) = 0 and f(-2) = 0, we can set up two equations:
(-1)³ + p(-1)² - q(-1) - 4 = 0
(-2)³ + p(-2)² - q(-2) - 4 = 0
Simplifying each equation, we get:
-1 + p - q - 4 = 0
-8 + 4p - 2q - 4 = 0
Simplifying further, we get:
p - q = 5
2p - q = 6
Solving for p and q, we can add the two equations together to eliminate q:
p - q + 2p - q = 5 + 6
3p - 2q = 11
Then, we can substitute the value of q from the first equation into this equation to solve for p:
3p - 2(q + 5) = 11
3p - 2q - 10 = 11
3p - 2q = 21
3p - 2(5 + p) = 21
p - 10 = 7
p = 17
Substituting this value of p into either equation for q, we get:
q = p - 5 = 12
Therefore, the coefficients are p = 17 and q = 12. To factor the expression, we can use synthetic division or long division. Using synthetic division, we get:
-1 | 1 17 -12 -4
|__ -1 -16 28
1 1 12
This gives us the factorization:
f(x) = (x + 1)(x² + x + 12)
To find the solutions, we can use the quadratic formula on the quadratic factor:
x = (-1 ± sqrt(1 - 4(1)(12))) / 2(1)
x = (-1 ± sqrt(1 - 48)) / 2
x = (-1 ± sqrt(-47)) / 2
x1 = (-1 + i(sqrt(47))) / 2
x2 = (-1 - i(sqrt(47))) / 2
Therefore, the solutions are x1 = (-1 + i(sqrt(47))) / 2, x2 = (-1 - i(sqrt(47))) / 2, and x3 = -1.
Step-by-step explanation:
give me thanks for more! your welcome bud!
A complex shape combined frim a square and rectangle b=6, c=8, and d=12 what is the area of this complex figure?
Answers
The area of the complex figure is 132 square units
How to determine the area
From the information given, we have that the composite shape is a combination of a:
SquareRectangleThe formula for area of a square is given as:
Area = a ²
Where 'a' is the length of it side
Area = 6²
Area of square = 36 square units
The formula for area of a rectangle is given as:
Area = width × length
Area = 8 × 12
Area of rectangle = 96 square units
Area of the complex figure = Area of square + area of rectangle
= 36 + 96
= 132 square units
Thus, the area of the complex figure is 132 square units
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it took the Phillips family 6 hours
to drive to their vacation
destination. Due to traffic, it took
them 8 hours and 42 minutes to
drive home.
Percentage for Increase or Decrease!!
Answers
Answer:
Percentage increase.
Step-by-step explanation:
It took the Phillips family 6 hours to drive to their vacation destination. 2 hours and 42 minutes extra because of traffic.
8 hours 42 minutes
-
6 hours 0 minutes
=
2 hours and 42 minutes
Percentage increase.
JuSt TaKe It UnGraTefUl pEoPle <3
Answers
Answer:
hi hello ty so much
Step-by-step explanation:
make brainliest and ill paypal you $20
Answer:
i am very grateful for you, thank you :D
Step-by-step explanation:
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Factor the following: 18X - 6
6 (3x - 1)
18 (x - 1)
9 (2x - 4)
I need the answer NOW
Answers
Answer:
Answer is 6(3x-1)
Step-by-step explanation:
I hope it's helpful!