Answer:
x = 35.1 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos x = 27/33
Take the inverse cos of each side
cos ^-1 ( cos x) = cos ^-1(27/33)
x =35.09680123
To the nearest tenth
x = 35.1 degrees
Answer:
x=35.1
Step-by-step explanation:
cos(x)=\(\frac{27^{2}+33^{2}-360 }{2(27)(33)}\)
x=35.1(correct to the nearest tenth)
What is (-1) x (+8)
Answer:
-8 would be the answer
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
(-1)*8
-(1*8)
= -8
What is the correct simplification of
2(3x + 5)?
Answer: 6x+10
Step-by-step explanation:
honestly i looked it up hope it helps:)
Part A: Create a third-degree polynomial in standard form. How do you know it is in standard form? (20points)
Part B: Explain the closure property as it relates to addition of polynomials. Give an example.
A: An example of third-degree polynomial in standard form are 3x^3 - 2x + 5.
B: According to the closure property of addition of polynomials if two polynomials are added then the result is also a polynomial.
A: To create a third-degree polynomial in standard form, we need to have an expression of the form:
ax^3 + bx^2 + cx + d, where a, b, c, and d are constants.
The degree of the polynomial is the highest power of x in the expression, which in this case is 3. To ensure that the polynomial is in standard form, we need to arrange the terms in descending order of their degrees. So, the third-degree term comes first, followed by the second-degree term, then the first-degree term, and finally the constant term.
For example, the polynomial 3x^3 - 2x + 5 is in standard form because the terms are arranged in descending order of degree.
B: The closure property of addition of polynomials states that if we add two polynomials, the result is also a polynomial. In other words, the set of polynomials is closed under addition. This means that if we add any two polynomials, the sum will always be a polynomial.
For example, if we add the polynomials 2x^2 + 3x + 1 and x^3 - 2x^2 + 4, we get a new polynomial x^3 - x^2 + 3x + 5, which is also a polynomial. Therefore, the closure property ensures that the addition of polynomials is a valid operation.
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Kelly wants to fence in a rectangular space in her yard, 6 meters (length) by 10.5 meters (width). the salesperson at the supply store recommends that she put up posts every 1.5 meters. the posts cost $2.69 each. kelly will also need to buy wire mesh to string between the posts. the wire mesh is sold by the meter from large rolls and costs $5.96 a meter. a gate to fit in one of the spaces between the posts costs $25.39. seven staples are needed to attach the wire mesh to each post. staples come in boxes of 50, and each box costs $3.99. how much will the materials cost before sales tax?
The total materials cost before sales tax is $297.21.
How the total materials cost is determined:The total materials cost is the result of the addition of the total cost of posts, wire mesh, gate, and staples, as follows.
The length of the rectangular space = 6 meters
The width of the space = 10.5 meters'
The perimeter of the space = 33 meters [2(6 + 10.5)]
The space between posts = 1.5 meters
The number of posts = 22 (33 ÷ 1.5)
The cost per post = $2.69
a) The cost of the posts = $59.18 ($2.69 x 22)
The cost of wire mesh:
Cost per meter = $5.96
The number of meters of wire mesh = 33 meters
b) Total cost of the wire mesh = $196.68 ($5.96 x 33)
c) Cost of the gate = $25.39
Cost of Staples:
The number of staples per post = 7
The total number of staples required = 154 (22 x 7)
The number of boxes of staples = 4
The cost per box = $3.99
d) The total cost of staples = $15.96 (4 x $3.99)
The total cost of materials = $297.21 ($59.18 + $196.68 + $25.39 + $15.96)
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3. Evaluate the algebraic expression b2-ac + 3 if a = 4.b = 5, and c = -5. Be sure to show your work
Answer:
Hope you get ur answer ❤️☺️
Mark as brainlist please ❤️❤️☺️
What is the y-intercept of a line that has a slope of –3 and passes through point (0, –7)?
A. -7
B. –3
C. 0
D. 4
Answer:
A) - 7
slope -intercept form y = - 3x - 7
slope m =-3 and y - intercept c = -7
Step-by-step explanation:
Explanation:-
Given that slope 'm' = -3 and point (0,-7)
The equation of the straight line passing through the point and having slope 'm'
y - y₁ = m ( x- x₁)
The equation of the straight line passing through the point ( 0,-7) and slope m = -3
y - (-7) = -3 ( x -0)
y +7 = -3x
3x +y + 7=0
The equation of the line 3x +y + 7=0
Final answer:-
slope -intercept form y = - 3x - 7
slope m =-3 and y - intercept c = -7
Need help with this is geometry
The length of the radius AB is 6 units.
How to find the length of an arc?The angle ∠BAC is 90 degrees. The length of arc BC is 3π. The length of
radius AB can be found as follows:
Hence,
length of arc = ∅ / 360 × 2πr
where
r = radius∅ = central angleTherefore,
length of arc = 90 / 360 × 2πr
3π = 1 / 4 × 2πr
cross multiply
12π = 2πr
divide both sides by 2π
r = 6 units
Therefore,
radius AB = 6 units
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a 5-letter password is to be constructed from the following letters: {a, b, c, d, e}. the password must contain exactly 3 of the letters. (obviously at least one of them will need to be used more than once to create a 5-letter password.)
If A,B, and C are the letters selected and we use A twice, B twice, and C once. The number of ways different passwords exist in this scenario are 30.
What is a password?
A password, sometimes known as a passcode (in devices made by Apple, for instance), is a hidden piece of information that is typically a long string of characters and is used to verify a user's identity. Passwords were always thought to be memorized, but today's average person has access to a huge number of password-protected services, making it difficult to remember a different password for each one. The secret is kept by a party known as the claimant, and the person confirming the claimant's identity is known as the verifier, according to the nomenclature of the NIST Digital Identity Guidelines. The verifier can determine the identity of the claimant when the claimant successfully uses a recognized authentication technique to show the verifier that they know the password.
A, B and C are selected
A is used twice B is used twice and C is once
Total ways = 5!/2!.2! = 30
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In the equation above. K is a constant. If x=9, what value is k? A) 1 B) 7 C) 16 D) 79
Answer: 79
Step-by-step explanation:
\(\sqrt{k+2}-9=0\\\\\sqrt{k+2}=9\\\\k+2=81\\\\k=\boxed{79}\)
Answer:
D) k = 79
Step-by-step explanation:
Given equation: \(\sf\sqrt{k+2}-x=0\)
Steps:
1. Substitute 9 as the value of x in the equation:
\(\sf\sqrt{k+2}-9=0\)
2. Add 9 to both sides:
\(\sf\sqrt{k+2}-9+9=0+9\\\\\Rightarrow \sqrt{k+2}=9\)
3. Square both sides of the equation:
\(\sf\left(\sqrt{k+2}\right)^2=9^2\\\\\Rightarrow k+2=81\)
4. Subtract 2 from both sides:
\(\sf k+2-2=81-2\\\\\Rightarrow k = 79\)
5. Check your work:
\(\sf\sqrt{k+2}-x=0\ \textsf{[ substitute 79 for k, and 9 for x ]}\\\\\sqrt{79+2}-9=0\ \textsf{[ add ]}\\\\\sqrt{81}-9=0\ \textsf{[ take the square root ]}\\\\9-9=0\ \textsf{[ subtract ]}\\\\0=0\ \checkmark\)
For the most recent year, Camargo, Inc. , had sales of $534,000, cost of goods sold of $241,680, depreciation expense of $60,400, and additions to retained earnings of $72,800. The firm currently has 20,000 shares of common stock outstanding, and the previous year’s dividends per share were $1. 35. The tax rate was 22 percent. What was the times interest earned ratio? (Do not round intermediate calculations and round your answer to 2 decimal places, e. G. , 32. 16. )
The times interest earned ratio for Camargo, Inc. is 1.87. This means that the company's earnings before interest and taxes (EBIT) are 1.87 times greater than its interest expense.
How to calculate the valueEBIT = Sales - Cost of Goods Sold - Depreciation Expense = $534,000 - $241,680 - $60,400 = $231,920
Interest Expense = (EBIT - Additions to Retained Earnings) * (1 - Tax Rate) = ($231,920 - $72,800) * (1 - 0.22)
= $129,796.80
Times Interest Earned Ratio = EBIT / Interest Expense = $231,920 / $129,796.80 = 1.87
This indicates that the company has a good ability to cover its interest payments.
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Kim's softball team was playing in the championship game. When there were 444 innings left, the team was losing by a score of 171717 to 666 runs. In the last 444 innings, her team scored the same number of runs per inning, and the other team did not score any more runs. Kim's team won with the most runs.
Write an inequality to determine the number of runs per inning, ppp, Kim's team could have scored.
Find the minimum whole number of runs per inning Kim's team could have scored.
The inequality to determine the number of runs per inning, p Kim's team could have scored is; 4r + 6 > 17
How to write an Inequality?
Let r represent the number of runs per inning. Thus for 4 innings, we have 4r.
The team already has 6 runs. Now add the additional runs to this to get;
4r + 6
The team wants to score more than the other team, this means they need more than 17 and so the inequality required is;
4r + 6 > 17
Subtract 6 from each side to get;
4r + 6 - 6 > 17 - 6
4r > 11
Divide both sides by 4 to get:
r > 2.75
Approximating to a whole number gives;
r > 3
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Answer:
6+4p> 17
3
Step-by-step explanation:
simplify the folowing equations
(x2 + 2xy + y2)(x+1)
x3 + x2 +2x2y +xy2 + y2 + 2xy
(6x -8)(2x -3)
(-2x – 1) (9x +2)
(2x2 - 4xy + 2y2) (3x-4)
6x3 – 12x2y + 6xy2 – 8x2 + 16xy-8y2
must show steps
Use FOIL method...
1. (x^2 + 2xy + y^2)(x+1)
x^3 + 2x^2y + xy^2 + x^2 + 2xy + y^2
Add Like Terms
There are no like terms.
2. x^3 + x2 +2x2y +xy2 + y2 + 2xy
3. (6x -8)(2x -3)
4. (-2x – 1) (9x +2)
5. (2x^2 - 4xy + 2y^2) (3x-4)
6. 6x^3 – 12x^2y + 6xy^2 – 8x^2 + 16xy-8y^2
Can you help me please
Which statement describes the graph?
Answer:
b
Step-by-step explanation:
30-10x and 10(3-x) equivalent or not?
Answer:
no
Step-by-step explanation: You can use variables to find that out. PEMDAS works too (parenthesis, exponents, multiplication, division, addition, subtraction). Put a random number for x and then you can see that it is not equivalent. Example: 30 - 10x7 = 40 but 10 (30-70) = -400
whats the value of 4/5 x 3/4 in simplest form
The value of 4/5 x 3/4 in simplest form is 3/5. To find the value of 4/5 x 3/4, we need to multiply the numerators and denominators separately and simplify the resulting fraction to its simplest form. Multiplying the numerators 4 and 3 gives us 12, while multiplying the denominators 5 and 4 gives us 20. So, 4/5 x 3/4 can be written as 12/20.
To simplify 12/20 to its simplest form, we need to find the greatest common factor (GCF) of the numerator and denominator. In this case, both 12 and 20 are divisible by 4, so the GCF is 4. Dividing both the numerator and denominator by 4, we get 3/5. Therefore, the value of 4/5 x 3/4 in simplest form is 3/5.
In conclusion, the value of 4/5 x 3/4 in simplest form is 3/5, which can be obtained by multiplying the numerators and denominators separately and simplifying the resulting fraction by finding its greatest common factor.
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HELP WILL MARK AS BRAINLIEST!!! AS SOON AS POSSIBLE (I ONLY HAVE LIKE 10 MINITES LEFT)
Read the question carefully!
What are 3 culinary milestones in the 21rst century?
8765
Step-by-step explanation
its 9 i took a test and it was the answer
HELP IM BEING TIMEDDDDDDDDDDDDDDDDDDDDDDD THANK YOU
Answer:
A + B would be less than A - B
Step-by-step explanation:
Translating a sentence into a one-step equation
Translate this sentence into an equation.
Malik's score increased by 22 is 71.
Use the variable m to represent Malik's score.
Answer:
m+22=71
Step-by-step explanation:
The term 'increased by' means to add something. The term 'is' almost always means an equal sign.
if you are given a box with sides of 7 inches, 9 inches, and 13 inches, what would its volume be?
To calculate the volume of a rectangular box, you multiply the lengths of its sides.
In this case, the given box has sides measuring 7 inches, 9 inches, and 13 inches. Therefore, the volume can be calculated as:
Volume = Length × Width × Height
Volume = 7 inches × 9 inches × 13 inches
Volume = 819 cubic inches
So, the volume of the given box is 819 cubic inches. The formula for volume takes into account the three dimensions of the box (length, width, and height), and multiplying them together gives us the total amount of space contained within the box.
In this case, the box has a volume of 819 cubic inches, representing the amount of three-dimensional space it occupies.
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The solution of 2x2 + x = 3 is shown below.
2x2 + x - 3= 0
(2x + 3)(x - 1) = 0
x = -1.5 or x = 1
Based on this work, the solution of the system of
equations is
{(-1.5, -6.5), (1,7)
{(-1.5, 9.5), (1,7)}
{(-1.5, 9.5), (1, 9)}
The algebraic manipulation shown above can be used to solve any system of linear equations with two unknowns is {(-1.5, -6.5), (1,7).
What is equation?An equation is a mathematical statement that to express our request. Is consists of 2 expression separated by an equal sign or can be contain numbers, variables and operator. Equation get be used to solve problems make prediction in describe relationship between different quantities. Equation can be also used to prison physical laws and other phenomena.
When solving a system of equations with more than two unknowns, the process is more complicated. Instead of solving the equations directly, one must use a combination of methods such as substitution, elimination, and graphing to find the solutions. Additionally, the solutions can involve more than one variable, which may not be easily expressed in terms of a single equation. In all cases, the goal is to find a set of values that satisfy all of the equations simultaneously.
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Answer:
I GOT IT RIGHTTTTT
Step-by-step explanation:
b or (-1.5,9.5),(1,7)
Help please :)))))))))))))))))
Answer:
Using Sine Rule
w= 19.8
Which expression is equivalent to 25x â€" 45y?
A. 25(5x â€" 20y)
B. 5(5x - 9y)
C. 70(x â€" y)
D. 10(15x â€" 35y)
Answer:
D
Step-by-step explanation:
Somehting bknbye3uehnfhnjun Español uno, como sulfhídrica
If (6^2]^p = 6^10, what is the value of p?
A.) 2
B.) 3
C.) 4
D.) 5
students are conducting an experiment to determine if the amount of sunlight affects the size of clover leaves. they plant clover in two identical pots, placing one next to a window and one inside a cupboard. they water each pot daily with 10 ml of water. which is the independent variable?
In the experiment, the independent variable is the amount of sunlight received by the clover plants.
The amount of sunlight the clover plants receive throughout the experiment serves as the independent variable, as it is being manipulated by the experimenters to determine its effect on the size of the clover leaves.
The dependent variable is the size of the clover leaves, which is being measured as a result of the change in the independent variable (amount of sunlight). The water is a controlled variable, as it is kept constant across both conditions to eliminate its effect on the outcome.
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The number of students who play chess is 5 more than 2 times the number of students that play soccer. If 11 students play soccer, how many play chess?
WILL GIVE 100 POINTS TO WHO EVER ANSWERS CORRECTLY
Answer: 27 students
Step-by-step explanation:
Match each expression with its sum or difference
Answer:
1-4=-3
-1-4=-5
-1+4=3
1-|-4|=5
Answer:
\(1-4=-3\\-1-4=-5\\-1+4=3\\1-(-4)=5\)
Step-by-step explanation:
The hardest part about negative numbers in addition is remembering when to add, rather than subtract. In the last equation, we add the numbers together, because the negative sign cancels out with subtraction. All of the other equations we can follow exactly what it says to do, because there are no minus signs right next to each other.
a researcher wants to study budgeting behavior among college students but only surveys students at a wealthy private college where tuition alone is $65,000 per year. this is an example of a(n) research sample.
This is an example of a biased research sample. By only surveying students at a wealthy private college, the researcher may not accurately capture the budgeting behavior of college students as a whole.
The sample is limited and not representative of the entire population of college students. To ensure more accurate and unbiased results, the researcher should consider surveying a diverse range of college students from different socioeconomic backgrounds and institutions. In this scenario, a researcher wants to study budgeting behavior among college students but only surveys students at a wealthy private college with a tuition of $65,000 per year. This is an example of a biased research sample. The sample is not representative of the broader population of college students, as it only includes students from a specific socio-economic background attending a wealthy private college.
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(-2 -2) and y=8/3x-5 in slope intercept form
The equation of a line perpendicular to line y = 8/3x-5 in slope-intercept form that contains point (-2, -2) is y = -3x/8 - 11/4.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the points.In Mathematics, a condition that must be met for two lines to be perpendicular is given by:
m₁ × m₂ = -1
8/3 × m₂ = -1
m₂ = -3/8.
At data point (-2, -2), a linear equation of this line can be calculated in point-slope form as follows:
y - (-2) = -3/8(x - (-2))
y + 2 = -3/8(x + 2)
y = -3x/8 - 3/4 - 2
y = -3x/8 - 11/4
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15% din 2500 plss URGENT
Please help me on this!
Answer:
\(s=20\)
Step-by-step explanation:
By the Exterior Angle Theorem, we know that the exterior angle is equal to the sum of the two, opposite interior angles.
In other words:
\(4s=(3s-20)+(2s)\)
Solve for s. Combine like terms:
\(4s=5s-20\)
Subtract 5s from both sides:
\(-s=-20\)
And divide both sides by negative one. Therefore:
\(s=20\)