In the figure, we can see that:
Then, the value we want, x, is the radius of a circle, and at the same time, the hypotenuse of a right triangle with legs 4.9 and 4 (half of the segment of length 8)
Then, by the pythagorean theorem:
\(\begin{gathered} x^2=4^2+4.9^2 \\ x=\sqrt{16+24.01}=\sqrt{40.01}=6.3253 \end{gathered}\)To the nearest tenth, x = 6.33
help with this problem, I don't get it, I will give brainliest
The equation cos (π/6 + β) is solved to get
√3 / 2How to solve for the cosineFrom the question it was given that sine β = -0.8
solving for β
sine β = -0.8
β = arc sine ( -0.8 )
β = -0.9273
β ≈ -π/3
substituting the value into cos (π/6 + β)
cos (π/6 + β)
cos (π/6 - π/3)
cos (π/6 - π/3)
= √3 / 2
Learn more about trigonometry at:
https://brainly.com/question/13729598
#SPJ1
Opinions about a current event issue are recorded through responses given on a website. Opinions gathered in this fashion are an example of a ______________.
A. random sample
B. stratified random sample
C. self-selecting sample
D. systematic sample
Answer:
this is one of systematic sample and correct option is d
Find the smallest positive integer k such that, for every positive integer n, 6n+k is relatively prime to each of 6n+3, 6n+2, and 6n+1.
Answer:
Use Mathpapa to find your answer.
Step-by-step explanation:
It's a good, and powerful program.
In a certain city it was recorded that 15 1/5 inches of rain fell over a 24 hour period how much rain fell per hour on average
2. Patricia, Luca and Dauda shared an amount of money such that, Patricia had twice as much
as Dauda and Luca had GH¢600.00 more than Dauda. If Patricia had GH¢2,000.00, what
was the average share, to the nearest GH¢?
Answer:
GH¢1533
Step-by-step explanation:
Let d represent the amount of Dauda's share in GH¢. Then the problem statement tells us ...
Patricia's share is 2d = 2000
Luca's share is d+600
From Patricia's share, we know Dauda's share is ...
d = 2000/2 = 1000
and Luca's share is ...
1000 +600 = 1600
__
The average share is the sum of these, divided by three:
(2000 +1000 +1600)/3 = 4600/3 = 1533.33
To the nearest GH¢, the average share is GH¢1533.
If you invested $250 at 16% interest, how much would you have after 18 years?
Answer:
4,000
Step-by-step explanation:
A forest covers 69,000 acres. A survey finds that 0.6% of the forest is old-growth trees. How many acres of old-growth trees are there?
Answer:
414 acres.
Step-by-step explanation:
To answer this question we have to multiply the percent by the total acres.
Remember that when multiplying percents we have to move the decimal 2 places to the left.
So, the equation looks like this:
\(69,000 * .006 = 414\)
Therefore, there are 414 acres that are old-growth trees.
We can check our answer by dividing 414 by 69,000.
414/69000 = .006
.006 * 100 = .6
I hope this helps!!
- Kay :)
There are 17 rows of seats in a cinema. There are 22 seats in each row. A film was shown in the cinema on friday night. Each ticket for the film cost £7.50
The sale of tickets for that night made £2587.50
How many tickets were not sold
Answer:
29
Step-by-step explanation:
345 tickets = 345 x 7.50 = £2587.5 this means 345 - 374 = 29
how to get 374:
17 x 22 = 374
29 tickets were not sold.
Given that,
There are 17 rows of seats in a cinema.
There are 22 seats in each row.
Each ticket for the film cost £7.50
The sale of tickets for that night made £2587.50
How many tickets were not sold?
According to the question,
There are 17 rows of seats in a cinema.
There are 22 seats in each row.
Each ticket for the film cost £7.50
The sale of tickets for that night made £2587.50
Then,
Total number of seats is,
= 17 x 22 = 374
Number of tickets sold = £2587.50 / £7.50 = 345
Therefore,
45 people filled 345 seats
Unoccupied seats = 374 - 345 = 29
Therefore, 29 tickets were not sold.
For more details refer to the link.
https://brainly.com/question/8477216
help me please i would appreciate it so so much
Answer:
w = 120
x = 60
y = 120
z = 60
Step-by-step explanation:
w = 120 (vertically opposite angles)
sum of co interior angles is 180
⇒ w + x = 180 and x + y = 180
w + x = 180
⇒ 120 + x = 180
⇒ x = 180 - 120
⇒ x = 60
x + y = 180
⇒ 60 + y = 180
⇒ y = 180 - 60
⇒ y = 120
z = x (corresponding angles)
z = 60
what is $5 ratio $1.00
Answer:
5 ratio 1.00 equals 5ratio1
Answer:
Step-by-step explanation:
1 : 2 => 1 + 2 = 3 Convert the ratio into fractions. Each ratio term becomes a numerator in a fraction. 1 : 2 => 1/3, 2/3 Therefore, in the part-to-part ratio 1 : 2, 1 is 1/3 of the whole and 2 is 2/3 of the whole. Related Calculators
Using Cramer’s Rule, what is the value of x in the solution to the system of linear equations below?
2/5X + 1/4Y = 9/20
2/3X + 5/12 = 3/4
A)X = 0
B)X = 1
C)There are no solutions to the system.
D)There are infinite solutions to the system.
Using Cramer’s Rule, the value of x is 0
How to determine the value of x?We have:
2/5X + 1/4Y = 9/20
2/3X + 5/12 = 3/4
Represent as a matrix
\(\left[\begin{array}{cc}2/5&1/4\\2/3&5/12\end{array}\right] \left[\begin{array}{c}9/20&3/4\end{array}\right]\)
Start by calculating the determinant of the matrix
A = 2/4 * 5/12 - 2/3 * 1/4
Evaluate the product
A = 5/24 - 1/6
Evaluate the difference
A = (5 - 4)/24
|A| = 1/24
Next, replace the last column with the first
\(\left[\begin{array}{cc}9/20&1/4\\3/4&5/12\end{array}\right]\)
Calculate the determinant
|x| = 9/20 * 5/12 - 1/4 * 3/4
Evaluate the product
|x| = 3/16 - 3/16
Evaluate the difference
|x| = 0
The value of x is then calculated as:
x = |x|/|A|
So, we have:
x = 0/(1/24)
Evaluate
x = 0
Hence, the value of x is 0
Read more about Cramer's rule at:
https://brainly.com/question/11198799
#SPJ1
0 and no solutions are both wrong, but dont know the acrual answer lol
According to the Centers for Disease control and prevention, 20.8 of high school students currently use electronic cigarettes. A high school counselor is concerned that the use of e-cigs at her school is higher.
(a) Determine the null and alternative hypotheses.
(b) If the sample data indicate that the null hypothesis should not be rejected, state the conclusion of the school counselor.
(c) Suppose, in fact, that the proportion of students at the counselor's high school who use electronic cigarettes is 0.034. Was a Type I or Type II error committed?
Answer:
H0 : p = 0.028
H1: p > 0.028
We conclude that there is not enough evidence to support the school counselor's claim they the use of electronic cigarettes in high school is higher Than 2.8%
Type 11 error
Step-by-step explanation:
H0 : p = 0.028
H1: p > 0.028
If null should not be rejected then;
We conclude that there is not enough evidence to support the school counselor's claim they the use of electronic cigarettes in high school is higher Than 2.8%
3.)
If the actual proportion is 0.034, which means 3.4%, this means it is actually higher. For failing to reject a false Null, then a type 11 error has been committed
help me solve 3x-8=-7x+6 ?
Identify the quadratic function(s). (Select all that apply.) 8 - 5x = 4(3x - 1) (4a + 2)(2a - 1) + 1 = 0 2y + 2(3y - 5) = 0 2b(b - 7) + b = 0
Answer: A quadratic function is a polynomial function of form f(x) = ax^2 + bx + c where a,b, and c are constants, and a is not equal to zero.
The given functions are:
8 - 5x = 4(3x - 1)
(4a + 2)(2a - 1) + 1 = 0
2y + 2(3y - 5) = 0
2b(b - 7) + b = 0
The quadratic function(s) among them are:
2. (4a + 2)(2a - 1) + 1 = 0
2b(b - 7) + b = 0
The first one 8 - 5x = 4(3x - 1) is linear and not a quadratic function, and the third one 2y + 2(3y - 5) = 0 is also linear, not a quadratic function.
Note that to identify a quadratic function, we can look for the pattern of x^2 or y^2 in the equation.
Also, we could expand the second degree polynomials in the form (ax^2+bx+c) and check if there are x^2 or y^2 term on both sides of the equation.
Step-by-step explanation:
Help asap 6th grade math
Answer:
I believe the answer is D.
\(\huge\boxed{Answer\hookleftarrow}\)
D
\(\huge\boxed{Explanation\hookleftarrow}\)
Mark as Brainliest
Which table shows values for the equation y=3x+2
?
Answer:
Answer is option D
Step-by-step explanation:
Hope this helps:)
Each of the following describes a variable expression.
1. The area of a rectangle that is (x + 2) units long and 4 units wide.
4(x + 2)
2. The perimeter of a rectangle that is (x + 3) units long and (x + 1) units wide.
2(x + 3) + 2(x + 1)
3.
The volume of a rectangular prism that is 2 units long, 1 unit wide, and (2x + 4) units high.
2(1)(2x + 4)
which two are equivalent
Both equations are equal since they both reduce to 4x + 8 as the surface area of a rectangle with dimensions of (x + 2) units and (4 units).
what is expressions ?An expression in mathematics is made up of various elements, including numbers, variables, and mathematical operations like addition, subtraction, multiplication, division, exponents, and roots. Expressions can represent a single number or a group of numbers, and they can be simple or sophisticated. For instance, the phrase 3x + 2 denotes a linear equation with the variable x. The expression (x + 3)(x - 4) denotes the sum of two binomials.
given
First and third expressions are interchangeable.
the surface area of a rectangle with dimensions of (x + 2) units and (4 units).
Area is equal to length times breadth.
Area = 4x + 8x + (x + 2) x 4a rectangular prism with dimensions of 2 units long, 1 units broad, and (2x + 4) units high has a volume of 4 units.
Volume is calculated using the formula LWH.
Volume equals 2 x 1 x ((2x + 4))
Volume equals 2(2x + 4)
Volume = 4 times Plus 8
Both equations are equal since they both reduce to 4x + 8 as the surface area of a rectangle with dimensions of (x + 2) units and (4 units).
To know more about expressions visit :-
brainly.com/question/14083225
#SPJ1
As group size increases, which of the following typically occurs?
a. Complexity increases
b. Factions develop
c. The number of nonparticipating members increases
As group size increases, the complexity of the group increases (option A).
What is group size?
Even within the same species, group size can vary greatly, so we frequently need statistical tests to evaluate these measurements between two or more samples as well as statistical measures to quantify group size. Since group sizes typically follow an aggregated (right-skewed) distribution, where most groups are small, few are large, and a very small number are very large, group size measures are infamously challenging to handle statistically.
As group size increases, the complexity of managing and coordinating the group also increases.
The larger the group, the more difficult it is to communicate effectively, to make decisions, and to ensure that everyone is working towards a common goal.
This is why larger organizations often have more complex hierarchies and more formalized communication and decision-making processes.
Therefore, the correct option is A.
To learn more about group size from the given link
https://brainly.com/question/29580215
#SPJ1
Sm answer this asap 100 points.
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
An estimated 3,042 people in attendance would prefer relish on a hot dog.
Given that;
For a recent football game of 8,450 in attendance,
And, 150 people were asked for they prefer on a hot dog.
Now, For number of people in attendance would prefer relish on a hot dog, we can use the proportion of people in the sample who preferred relish:
By proportion we get;
x = (54/150) x 8450
x = 54 * 56 1/3
x = 3042
Therefore, An estimated 3,042 people in attendance would prefer relish on a hot dog.
Learn more about the proportion visit:
https://brainly.com/question/1496357
#SPJ1
what is the value of Z in this figure Enter your answer in the box
Using the a pair of adjacent angles, we will see that:
Z° = 137°
What is the value of z on the diagram?When we have an intersection between two lines, we know that any pair of adjacent angles (they share a side) are congruent angles, thus, their measures add up to 180°.
Then here we can write a linear equation for z.
z + 43 = 180
Solving that for z, we will get:
z = 180 - 43
z = 137
That is the measure of the angle.
Learn more about congruent angles by reading:
https://brainly.com/question/14791175
#SPJ1
A fighter jet F and a helicopter H leave the airport A at the same time. The jet flies 25 km on a bearing of 040° and the helicopter flies 30 km on a bearing of 320°. How far apart are the aircraft? (Use a scale of 1 cm to represent 5 km.)
Answer:
FH = 35.64
Step-by-step explanation:
(∠A = 360 so the other angle is 40)
By law of cosines,
FH² = AH² + FA² - 2(AH)(FA) * cos(A)
= 30² + 25² - 2(30)(25) * cos(80)
= 900 + 625 - 1500 * 0.17
= 1525 - 255
FH² = 1270
FH = √1270
FH = 35.64
Write this number in standard form 3 thousands, 16 tens,7 ones
1 1/2 x 4 1/4 = ?
PLZ ANSWER QUICKLY
Need answer to this urgently
Answer:
x=3
Step-by-step explanation:
25+134+4x+9+180
4x+168+180
4x+12
x=3
Answer correctly and I will mark you brainless ❤️
0.32 divided by 0.536
Answer:
0.59701492537
Step-by-step explanation:
All numbers that have 5 as a factor also have 2 as a factor.
O A. True
OB. False
The statement that all numbers that have 5 as a factor also have 2 as a factor is false, as numbers ending in 5 have five as a factor but are odd numbers, meaning that they do not have two is a factor.
What are the factors of a number?The factors of a number are the numbers by which the number is divisible.
Hence the numbers that have 2 and 5 as factors as the multiples, given as follows:
Multiples of 2: {0, 2, 4, ..., } -> all even numbers.Multiples of 5: {0, 5, 10, ...} -> all numbers finishing in 0 or 5.Numbers that finish in 5 are odd, meaning that they do not have 2 is a factor, hence the statement is false.
More can be learned about the factors of a number at https://brainly.com/question/219464
#SPJ1
Directions: Determine the number of all the complex roots in the following equations. For these sets, you can
assume that double root will count as two roots, and so on.
1. x⁵ + 1 = 0
2. x4 - 2x3 + x2 - 4x + 1 = 0
3. x³ (1 + x - x³) = 0
4. -5x³ + 6x = 100x⁵ - 2
Part B
Directions: Solve the following equations using the quadratic formula.
5. x² + 4x + 6 = 0
6. x² - 4x + 13 = 0
7. x² + 49 = 0
8. x² - 6x + 4 = 0
9. x2 + 2 = 0
10. x² + 8 = 0
11. x² + 16 = 0
12. x² + 2x + 3 = 0
13. x2 + 5x + 8 = 0
14. x² - 3x + 4 =0
15. 2x² - 3x = -3
The complex roots of the equations are:
The equation x⁵ + 1 = 0 has five complex roots.The equation x⁴ - 2x³ + x² - 4x + 1 = 0 has four complex roots.The equation x³ (1 + x - x³) = 0 has three complex roots.The equation -5x³ + 6x = 100x⁵ - 2 has five complex roots.How to solve quadratic equations?Part B: Solving equations using the quadratic formula:
5. x² + 4x + 6 = 0
Using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a)
Substituting the values: x = (-4 ± √(4² - 4(1)(6))) / (2(1))
Simplifying: x = (-4 ± √(-8)) / 2
Since the discriminant is negative, there are no real solutions. The equation has two complex roots.
6. x² - 4x + 13 = 0
Using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a)
Substituting the values: x = (4 ± √((-4)² - 4(1)(13))) / (2(1))
Simplifying: x = (4 ± √(-36)) / 2
Since the discriminant is negative, there are no real solutions. The equation has two complex roots.
7. x² + 49 = 0
Using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a)
Substituting the values: x = (0 ± √(0² - 4(1)(49))) / (2(1))
Simplifying: x = ±√(-196) / 2
Since the discriminant is negative, there are no real solutions. The equation has two complex roots.
8. x² - 6x + 4 = 0
Using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a)
Substituting the values: x = (6 ± √((-6)² - 4(1)(4))) / (2(1))
Simplifying: x = (6 ± √(20)) / 2
Simplifying further: x = 3 ± √5
The equation has two real solutions.
9. x² + 2 = 0
Using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a)
Substituting the values: x = (0 ± √(0² - 4(1)(2))) / (2(1))
Simplifying: x = ±√(-8) / 2
Since the discriminant is negative, there are no real solutions. The equation has two complex roots.
10. x² + 8 = 0
Using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a)
Substituting the values: x = (0 ± √(0² - 4(1)(8))) / (2(1))
Simplifying: x = ±√(-32) / 2
Since the discriminant is negative, there are no real solutions. The equation has two complex roots.
11. x² + 16 = 0
Using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a)
Substituting the values: x = (0 ± √(0² - 4(1)(16))) / (2(1))
Simplifying: x = ±√(-64) / 2
Since the discriminant is negative, there are no real solutions. The equation has two complex roots.
12. x² + 2x + 3 = 0
Using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a)
Substituting the values: x = (-2 ± √(2² - 4(1)(3))) / (2(1))
Simplifying: x = (-2 ± √(-8)) / 2
Since the discriminant is negative, there are no real solutions. The equation has two complex roots.
13. x² + 5x + 8 = 0
Using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a)
Substituting the values: x = (-5 ± √(5² - 4(1)(8))) / (2(1))
Simplifying: x = (-5 ± √(25 - 32)) / 2
Since the discriminant is negative, there are no real solutions. The equation has two complex roots.
14. x² - 3x + 4 = 0
Using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a)
Substituting the values: x = (3 ± √((-3)² - 4(1)(4))) / (2(1))
Simplifying: x = (3 ± √(9 - 16)) / 2
Since the discriminant is negative, there are no real solutions. The equation has two complex roots.
15. 2x² - 3x = -3
To solve this equation, first rearrange it to the form ax² + bx + c = 0:
2x² - 3x + 3 = 0
Using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a)
Substituting the values: x = (3 ± √((-3)² - 4(2)(3))) / (2(2))
Simplifying: x = (3 ± √(9 - 24)) / 4
Since the discriminant is negative, there are no real solutions. The equation has two complex roots.
Find out more on complex roots here: https://brainly.com/question/29654300
#SPJ1
What is 2+3+5+10x64+7+57
Answer:
714
Step-by-step explanation:
To solve this you have to use the BODMAS theory.
That means,
B ⇒ Brackets
O ⇒ Of
D ⇒ Divide
M ⇒ Multiplication
A ⇒ Addition
S ⇒ Subtraction
You have to solve the sum according to the above.
2 + 3 + 5 + 10 x 64 + 7 + 57
2 + 3 + 5 + 640 + 7 + 57
5 + 645 + 64
650 + 64
714
Let me know if you have any other questions. :-)
pls answer this question assap
Answer:
Step-by-step explanation:
\(\frac{9-3y}{1-9y} = \frac{8}{5}\)
do cross multiplication
\(5(9 - 3y) = 8(1 - 9y)\\45 - 15y = 8 - 72y\\45 - 8 = -72y + 15y\\37 = -57y\\\frac{37}{-57} = y\)
Answer:
\(y = - \frac{37}{57} \)Step-by-step explanation:
\( \frac{9 - 3y}{1 - 9y} = \frac{8}{5} \)\( \frac{3(3y - y)}{1 - 9y} = \frac{8}{5} \)\(3(3−y) \times 5=(1−9y) \times 8\)
\(45−15y=(1−9y) \times 8\)
\(45−15y=8−72y\)
\(45+57y=8\)
\(57y=8−45\)
\(57y=−37\)
\(y = - \frac{37}{57} \)Hope it is helpful....