Answers
Answer:
13.) tanC=40/30
14.) tanA=21/20
15.) tanC=12/35
16.) tanX=30/40
17.) sinZ=12/37
18.) sinZ=30/50
Final answer:
Trigonometry focuses on the ratios between sides and angles of right-angled triangles. Ratios are used to maintain relationships between quantities in scaled models or mathematical problems. Practicing these calculations aids in mental math and practical applications.
Explanation:
Practice Writing Trig Ratios
Trigonometry involves understanding the relationship between the angles and sides of right angled triangles. These trigonometric ratios, which include sine, cosine, and tangent, are essential in connecting angles to their respective side lengths. They are ratios and thus dimensionless, meaning they have no units. These calculations become easier with practice, allowing one to approximate and compute them mentally.
When dealing with practical problems, such as scaling distances for a model or building, it is common to write proportions to maintain the relationships between lengths and widths. For example, if you have a scale that says 1 inch on the model represents 10 feet in reality (inches/feet = 1/10), you would write a ratio that respects this scale. Similarly, if comparing areas, you would establish a ratio outlining how one area relates to the other based on their respective dimensions.
It is also valuable to familiarize oneself with the functions of a calculator by experimenting with various operations such as squaring, square roots, trigonometric functions, and logs. This helps in comprehending the interconnectedness of these mathematical concepts and their practical application.
Related Questions
Find the unit rate.
200 words in 4 min
A: 50 words per minute
B: 40 words per min
C: 30 words per min
Answers
Answer:
A 50 words per minute
Step-by-step explanation:
200 words/ 4 minutes= 50 words per minute
NEED HELP!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
The order would be: impossible, unlikely, neither unlikely nor likely, likely and lastly certain.
Step-by-step explanation:
Ps, the order goes from top left, bottom left, middle top, bottom right, top right. If you are confused I will explain with more details.
Answer:
The box on 0 means impossible
The second box means unlikely
The 3rd box means neither likely or unlikely
The 4th box means likely
And the last box means certain.
Step-by-step explanation:
I assumed the 0 meant impossible and went from there.
Which number is a common factor of 27 and 45?
A) 5
B) 9
C) 12
D) 15
Answers
Answer:
We found the factors and prime factorization of 27 and 45. The biggest common factor number is the GCF number. So the greatest common factor 27 and 45 is 9.
Step-by-step explanation:
9 is the common factor of both 27 and 45 cause 9 * 5 is 45 and 9*3 is 27
Which of the answer choices is a multiple of 4 select all that apply
12, 14, 16, 18, or 20
Answers
Answer:
12, 16, 20
Step-by-step explanation:
For this question the answer will be 12, 16 and 20.
4 times 3 is 12
4 times 4 is 16
4 times 5 is 20
A box of cereal is shaped like a rectanular prism. The box is 20 centimeters long, and 30 centimeters high. The volume is 3,600 cubic centimeters. Find the width of the box
Answers
Answer:
20 x 30 = 600
3,600/600=6
Check if it works
20 x 30 = 600
600 x 6 = 3,600
the missing width is 6
Step-by-step explanation:
if a box of 10 organic capri sun drinks costs $13.92, what is the unit rate? (who ever has right answer first gets brainlest!)
Answers
Answer: Unit rate for capri sun drinks is 1.39
Step-by-step explanation: The unit rate is the Constant of proportionality so you would have to find the cost of one product or the worth so I divided 13.92 by 10 to find the unit rate and estimated to the nearest hundredths because money does not go out to the hundredths.
Hope I helped out <3
-Carrie
Which numbers are solutions of the inequality? Choose all that apply.
Answers
Answer:
It's a d e gg g g g g g g g g g g g g
Hurry to help me!! Someone keeps deleting my questions for no reason and its not from a quiz!!
Answers
Answer: C and D
They are the closest to 0, so c=-1 and d=1.
plzzzzzzzzzzzz help quick
An advertising agency is hired by a local car dealership to determine the most popular SUV model among past customers of the dealership. The agency decides to use a systematic random sampling method.
Which of the following describes the method the agency can use?
Answers
Answer:B
by-step explanation:I did the quiz
I have 2 questions
A circle with a small hole in the middle. The large circle has a diameter of 22 millimeters. The small hole has a diameter of 5 millimeters.
The Japanese 5 yen coin has a hole in the middle. What are the possible ways to calculate the difference between the distances from the outer edges and the inner edges of the coin? Check all that apply.
Subtract the two diameters and multiply by pi
Add the two diameters and multiply by pi
Subtract the circumference of the hole from the circumference of the coin.
Calculate the radius of the hole.
and how do you mark brainliest i forgot and i feel stupid for asking
Answers
Answer:
A and D
Step-by-step explanation:
edge 2022
Tarzan is swimming east at 2.4 m/s across a river that is 1660 meters wide and
flows north at 5.2 m/s
What is tarzan’s final rate of swimming?
Answers
Tarzan’s final rate of swimming is 4.83 minutes.
What is velocity?Velocity is the directional speed of a object in motion as an indication of its rate of change in position as observed from a particular frame of reference.
Now it is given that,
Tarzan is swimming east at Velocity, Vt = 2.4 m/s
River's Velocity flowing north, Vr = 5.2 m/s
Width of river = 1660 meters
So, resultant speed of Tarzan, V = √(Vt² + Vr²)
⇒ V = √(2.4² + 5.2²)
⇒ V = √(5.76 + 27.04²)
⇒ V = √32.8 m/s
⇒ V = 5.73 m/s
Thus, rate of swimming = Width / V
⇒ rate of swimming = 1660 / 5.73 s
⇒ rate of swimming = 289.70 s
or, rate of swimming = 4.83 minutes
Thus, Tarzan’s final rate of swimming is 4.83 minutes.
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Solve for X, rounding to the nearest hundredth.
25x = 6
Answers
Answer: 0.24
Step-by-step explanation: You need to solve and get x by itself, so you would divide 25 on both sides of the equal sign. This would give you x=6/25 or 0.24
evaluate the expression for q=8
7q
Answers
Answer:
56
Step-by-step explanation:
7q
Let q = 8
7*8
56
please help me with this math problem:)
Answers
Answer:
a = 1.08 m
Step-by-step explanation:
Answer:
1.08
Step-by-step explanation:
add or subtract (m^2-m-4)+(m+5)
Answers
---------------------------------------------------------
(m^2-m-4)+(m+5)
Remove parentheses:
m^2-m-4 + m+5
Group like terms:
m^2-m+m-4+5
Add similar elements:
m^2-4+5
Add/subtract the numbers:
m^2+1
Your Answer Is m^2+1
plz mark me as brainliest if this helped :)
Please help! I will mark you as brainlinest!
Answers
Answer:
A is 29 miles and B is 18 miles
Step-by-step explanation:
Set up 2 equations involving A and B and solve simultaneously, that is
5A + 2B = 181 → (1)
2A + 3B = 112 → (2)
Multiply (1) by 3 and (2) by - 2 to eliminate B
15A + 6B = 543 → (3)
- 4A - 6B = - 224 → (4)
Add (3) and (4) term by term to eliminate B
(15A - 4A) + (6B - 6B) = 543 - 224, that is
11A = 319 ( divide both sides by 11 )
A = 29
Substitute A = 29 into either of the 2 equations and solve for B
Substituting into (1)
5(29) + 2B = 181
145 + 2B = 181 ( subtract 145 from both sides )
2B = 36 ( divide both sides by 2 )
B = 18
Thus
Route A is 29 miles long and Route B is 18 miles long.
Answer: for the answer above me give em the crown he deserves it
Step-by-step explanation:
HELPPPPPPPPPPPPMEEEEEEE
Answers
Answer:
I'm pretty sure it is 21
A line is drawn through (-7, 11) and (8, –9). The equation
y - 11 = - 4(x + 7) is written to represent the line. Which
equations also represent the line? Check all that apply.
3y = - 4x + 40
4x + y = 21
4x + 3y = 5
-4x + 3y = 17
Answers
The options A and C represent the same line as the given equation.
A: 3y = - 4x + 40
C: 4x + 3y = 5
To verify which equations represent the same line as the given equation y - 11 = -4 (x + 7), we can first convert the given equation into slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
Given equation:
y - 11 = -4 (x + 7)
Expanding and rearranging:
y - 11 = -4x - 28
y = -4x - 28 + 11
y = -4x - 17
Now, let's compare this equation with the options:
A. 3y = -4x + 40
To convert it to slope-intercept form:
y = [tex]-\frac{4}{3}x + \frac{40}{3}[/tex]
B. 4x + y = 21
To convert it to slope-intercept form:
y = -4x + 21
C. 4x + 3y = 5
To convert it to slope-intercept form:
3y = -4x + 5
y = [tex]-\frac{4}{3}x + \frac{5}{3}[/tex]
D. -4x + 3y = 17
To convert it to slope-intercept form:
3y = 4x + 17
y = [tex]\frac{4}{3}x + \frac{17}{3}[/tex]
Comparing all the equations with the original equation y = -4x - 17, we find that options A and C have the same slope-intercept form as the original equation.
The question is:
A line is drawn through (-7, 11) and (8, –9). The equation y - 11 = - 4(x + 7) is written to represent the line. Which equations also represent the line? Check all that apply.
A. 3y = - 4x + 40
B. 4x + y = 21
C. 4x + 3y = 5
D. -4x + 3y = 17
The only equation that represents the same line as the given equation y - 11 = - 4(x + 7) is -4x + 3y = 17, as it has the same slope and y-intercept when simplified.
To determine which equations also represent the line through the points (-7, 11) and (8, -9), we must ensure they have the same slope and y-intercept as the given line equation y - 11 = - 4(x + 7). First, we simplify the given equation to the slope-intercept form (y = mx + b):
y = -4x - 28 + 11
y = -4x - 17
The slope (m) is -4, and the y-intercept (b) is -17. Now, let's compare the other equations:
3y = - 4x + 40
y = - 4/3x + 40/3Slope: -4/3 (doesn't match)Y-intercept: 40/3 (doesn't match)4x + y = 21
y = -4x + 21Slope: -4 (matches)Y-intercept: 21 (doesn't match)4x + 3y = 5
3y = -4x + 5y = -4/3x + 5/3Slope: -4/3 (doesn't match)Y-intercept: 5/3 (doesn't match)-4x + 3y = 17
3y = 4x + 17y = 4/3x + 17/3Slope: 4/3 (matches)Y-intercept: 17/3 (matches after converting the fraction)The only equation that has both the slope and y-intercept identical to the given line's equation after simplification is -4x + 3y = 17.
Help me please!!!!
Fghxfhhffhcc
Answers
Answer:
x = ± 2
Step-by-step explanation:
To find the zeros set the polynomial equal to zero, that is
x² - 4 = 0 ( add 4 to both sides )
x² = 4 ( take the square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2
Thus x = - 2 or x = 2
There is a chick-fil-a exactly 7 miles due west of berkmar middle school. There is also a wal-Mart 5 miles due north of Berkmar middle school. How far is the chick fil a from the Walmart? Leave your answer in its simplest radical form.
Answers
Answer:
8.60
Step-by-step explanation:
7 squared+ 5 squared= C squared
49+25=C squared
74=C squared
You then just square 74 and get 8.60 when rounded
100% correct, teacher corrected my answer, I had the same question today
Answer:
8.6
Step-by-step explanation:
i answered this question on a test .
A circle with radius 9 has a sector with a central angle of 120°.
What is the area of the sector?
Answers
120º is 1/3 of a complete revolution of 360º. So the area of this sector should be 1/3 the area of the complete circle.
A circle with radius 9 has area 9^2 π = 81π.
So the sector has area 81π/3.
Put another way: The area A of a circular sector and its central angle θ (in degrees) occur in the same ratio as the area of the entire circle with radius r according to
A / θ º = (π r ^2) / 360º
==> A = π/360 θ r ^2
In this case, r = 9 and θ = 120º, so
A = π/360 * 120 * 81 = 81π/3
When Nick checked his work it did not match the standard form function. Analyze Nick’s work. What was his mistake?
In step 1, he did not put the function in standard form correctly.
In step 2, he should have also factored –7 from the constant term, 17.
In step 3, he did not subtract –7(9) to keep the function equivalent.
In step 4, he did not write the perfect square trinomial correctly as a binomial squared.
Answers
In step 3, he did not subtract –7(9) to keep the function equivalent. Therefore, the correct option is option C among all the given options.
What is mathematical function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a predictor variables (the dependent variable).
In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. German mathematician Paul Dirichlet initially offered the standard concept of function in 1837. When Nick checked his work it did not match the standard form function. In step 3, he did not subtract –7(9) to keep the function equivalent.
Therefore, the correct option is option C.
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Your question is incomplete but most probably your full question was,
Nick wrote the function p(x) = 17 + 42x – 7x2 in vertex form. His work is below.
p(x) = –7x2 + 42x + 17
p(x) = –7(x2 – 6x) + 17
= 9;
p(x) = –7(x2 – 6x + 9) + 17
p(x) = –7(x – 3)2 + 17
When Nick checked his work it did not match the standard form function. Analyze Nick’s work. What was his mistake?
In step 1, he did not put the function in standard form correctly.
In step 2, he should have also factored –7 from the constant term, 17.
In step 3, he did not subtract –7(9) to keep the function equivalent.
In step 4, he did not write the perfect square trinomial correctly as a binomial squared.
Nick made mistakes in converting to standard form, factoring constants correctly, maintaining equivalence, and writing perfect square trinomials. Correcting these steps will yield an accurate transformation of the equation.
Let's break down the steps Nick likely took and identify where he went wrong in putting the quadratic equation into its standard form.
Step 1: Initially converting the equation to standard form. For the equation x² + 4x + 21 = 0, the equation was already in standard form, so no changes were necessary here. It’s possible that Nick incorrectly adjusted coefficients, which led to errors.Step 2: Factoring out terms. If Nick had an equation like -7x² + 17 = 0, he should have factored out -7 from both the x² term and the constant term, resulting in -7(x² - 17/7) = 0. Missing this step would lead to misrepresentation of the equation.Step 3: Ensuring equivalence. Nick should have subtracted -7(9) correctly to maintain the function's equivalence throughout the transformation.Step 4: Writing the perfect square trinomial correctly. To complete the square, for example, (x + 2)² should be correctly represented as a binomial squared. Not doing so indicates an error in the transformation process.In summary, Nick’s mistakes include incorrect standard form conversion, improper factoring of constant terms, failing to maintain equivalence, and incorrect representation of perfect square trinomials.
What is w^2 in a verbal expression? Is it w to the power of 2?
Answers
Answer:
w to the power of two, or w squared
Step-by-step explanation:
Yes, one way you can express w^2 verbally, is by saying w to the power of two. However, you can also express this by saying w squared.
lucy is standing in a stadium and has the option of running up a staircase 0r down a staircase for exercise.The function f(x)=1/25...
Answers
Find the function by taking the integral of the derivative
Which steps are needed to solve this equation? . b + 6 = 21 Subtract 6 from both sides of the equation. The answer is b = 15. Check the solution by substituting 15 for b. Subtract 6 from the left side and add 6 to the right side of the equation. The answer is b = 27. Check the solution by substituting 27 for b. Add 6 to both sides of the equation. The answer is b = 27. Check the solution by substituting 27 for b. Add 6 to the left side and subtract 6 from the right side of the equation. The answer is b = 15. Check the solution by substituting 15 for b.
Answers
Answer:
Subtract 6 from both sides of the equation. The answer is b = 15. Check the solution by substituting 15 for b
Step-by-step explanation:
b+6 =21
Subtract 6 from both sides
b+6-6 = 21-6
b = 15
Check
15+6 = 21
21=21
Answer:
First one:
Subtract 6 from both sides of the equation. The answer is b = 15. Check the solution by substituting 15 for b.
Step-by-step explanation:
b + 6 = 21
b + 6 - 6 = 21 - 6
b = 15
simplify the expression. (6^2)^4
Answers
Answer:
(2^4•3^2)
Step-by-step explanation:
Step 1 :
1.1 6 = 2•3
(6)2 = (2•3)2 = 2^2 • 3^2
Step 2 :
2.1 2^2 multiplied by 2^2 = 2(2 + 2) = 2^4
Final result :
(2^4•3^2)
Answer:6^8
Step-by-step explanation:
HURRY PLEASE!!!!!!!!!!! A graph shows the horizontal axis numbered 1 to 5 and the vertical axis numbered 1 to 5. Points and a line show an upward trend. Which is most likely the correlation coefficient for the set of data shown? –0.65 –0.19 0.19 0.75
Answers
The correct answer is option B) –0.19.
What does a correlation coefficient mean?
A correlation coefficient is a statistical measure of the degree to which changes to the value of one variable predict changes to the value of another. In positively correlated variables, the value increases or decreases in tandem.
What is a perfect correlation?
A relationship between two variables, x, and y, in which the change in the value of one variable is exactly proportional to the change in the value of the other. That is, knowing the value of one variable exactly predicts the value of the other variable (i.e., rxy = 1.0).
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Answer:
c
Step-by-step explanation:
Subtract (7x – 3) – (5x-6).
O A. 2x+9
O B. 2x–9
O c. 2x-3
O D. 2x+3
Answers
O A. 2x+9
O B. 2x–9
O c. 2x-3
O D. 2x+3
Answer:
2x+3
Step-by-step explanation:
can someone help me to find the area?
Answers
Answer:
the answer is 23.14 if you use pi and is 23.13 if you use 3.14
Step-by-step explanation:
Answer:
23.14 squared meters or 13.5π squared meters
Step-by-step explanation:
Please Help!!! 25 points!!!!!
Answers
Answer:
32.97
Step-by-step explanation:
because u have to times 10.5 × 3.14