Answers
Sin A = opp/hyp = 4/5
Cos A = adj/hyp = 3/5
Tan A = opp/adj = 4/3
Cos 27 = 0.8910065... --> 0.89
You can just plug that into your graphing calculator, just make sure the degree mode is on.
Related Questions
Rewrite 12%as a common fraction in a simple form
Answers
Answer:
3/25
Step-by-step explanation:
12% = [tex]\frac{12}{100}=\frac{4*3}{4*25}=\frac{3}{25}[/tex]
Convert percentage to fraction and then simplify
Answer:
3/25
Step-by-step explanation:
12% = 12/100 = 3/25 = 3/25
A cylinder has a height of 10 inches and a diameter of 1 1/2 inches. What is the volume of the cylinder
Answers
Answer:
7.85 in³
Step-by-step explanation:
π · r² · h
3.14 · 0.5² · 10
7.85 in³
How would you write the equation for it
Answers
Please can someone help me with this
Answers
Answer:
Step-by-step explanation:
solve the following proportion for X (PICURE) (GIVING BRAINLEST TO CORRECT/BEST ANSWER) round to the nearest tenth.
Answers
Answer:
I just answer this
x = 4,235294118
Step-by-step explanation:
factorize: 4x²-3y-6x+2xy
Answers
Answer:
The answer is (2x+y)(2x-3)
Step-by-step explanation:
I learned this on ixl, its kind of hard to explain.
Help! Possess I will give brainiest!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
Since both fractions have a different denominator, we need to look for a common denominator.
[tex]\frac{1}{3}=\frac{3}{9}[/tex] Multiply 3 in both numerator and denominator
[tex]\frac{5}{9} -\frac{3}{9} =\frac{2}{9}[/tex]
Hence, 2/9 is the answer
What is the length of s=8.57, n=300, confidence level=95%
Answers
Answer:
The length of the interval is of 1.8672.
Step-by-step explanation:
Length of a confidence interval:
Margin of error multiplied by 2.
Confidence interval:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
s=8.57, n=300
[tex]\sigma = 8.25, n = 300[/tex]
Margin of error:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.96\frac{8.25}{\sqrt{300}}[/tex]
[tex]M = 0.9336[/tex]
Length:
2*0.9336 = 1.8672
The length of the interval is of 1.8672.
A boat heading out to sea starts out at Point A, at a horizontal distance of 639 feet from a lighthouse/the shore. From that point, the boat's crew measures the angle of elevation to the lighthouse's beacon-light from that point to be 11 degrees . At some later time, the crew measures the angle of elevation from point B to be . Find the 3 degrees distance from point A to point B. Round your answer to the nearest foot if necessary .
Answers
9514 1404 393
Answer:
1731 ft
Step-by-step explanation:
The tangent relation is useful in this problem.
Tan = Opposite/Adjacent
The height of the light is found to be ...
tan(11°) = height/(639 ft)
height = (639 ft)·tan(11°) . . . . . solve for height
Then the distance from the light to point B is ...
tan(3°) = height/(B distance)
B distance = height/tan(3°) = (639 ft)·tan(11°)/tan(3°) ≈ 2370 ft
Then the distance from point A to point B is ...
2370 ft -639 ft = 1731 ft . . . AB distance
Tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance between points A and B is 1731 feet.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
As it is given that the distance between the lighthouse and point A is 639 feet, while the angle of elevation from that point is 11°. therefore, using the tan function, the height of the lighthouse,
[tex]\rm Tan(\theta) = \dfrac{Perpendicular}{Base}\\\\Tan(11^o) = \dfrac{CD}{CA}\\\\Tan(11^o) = \dfrac{CD}{639}\\\\Tan(11^o) \times 639 = CD\\\\[/tex]
As we know that CD is the height of the lighthouse, now
In Δ BCD
The tan function for the distance between the lighthouse and point B can be written as,
[tex]\rm Tan(\theta) = \dfrac{Perpendicular}{Base}\\\\Tan(3^o) = \dfrac{CD}{CA}\\\\Tan(3^o) = \dfrac{Tan(11^o) \times 639}{CA}\\\\CA = 2370\ ft.[/tex]
Hence, the distance between the lighthouse and Point B is 2370 ft.
Now, we know the distance between the lighthouse and Point A, and the distance between the lighthouse and Point B, therefore,
The Distance between Point A and B (AB) = CB - CA
= 2370 - 639
= 1731 ft.
Learn more about Tangent (Tanθ):
https://brainly.com/question/10623976
Testing mom answer key for Isee Middle level test 4 entering 7th - 8th grade. Find the answer key and send to me or put here! Pls help me! I will give brainliest! (Both math and reading)
Answers
Answer:
https://cdn.erblearn.org/pdf/www/WTE_Middle_September2018_FINAL.pdf
Step-by-step explanation:
This may be it! Sorry, I didn’t take the ISEE, I only took the SHSAT! I’ll keep looking for it!
Can anyone tell me the correct answer of this. I already have it but I wanna make sure. please
Answers
Answer:
x = 44.3°
Step-by-step explanation:
Redrawing the triangle,
To obtain x, we can apply the trigonometric relation :
Sin x = opposite / hypotenus
Opposite side = 6.5
Hypotenus = 9.3
Sin x = 6.5/9.3
x = sin^-1(6.5 / 9.3)
x = 44.34
x = 44.3°
write a function rule for the table.
A. f(x)=-2x
B. f(x)=x+2
C. f(x)=x-2
D. f(x)=2x
Answers
How to write a solution to the equation x^2=5 using exponents and radicals
Answers
Answer:
x = sqrroot(5)
Step-by-step explanation:
The radical form of x²=5 is x= ±√5.
What is Radical form?The √ symbol that is used to denote square root or nth roots.
An expression with a square root is referred to as a radical expression. Radicand: A value or phrase included within the radical symbol.
Radical notation is the usage of a root in an expression, such as the square or cube root.
For example, radical form is ∛3 = √27.
Given:
x²=5
Now, we have to write it in the radical form.
So, we can write
x= ±√5
Hence, the radical form of x²=5 is x= ±√5.
Learn more about radical form here:
https://brainly.com/question/27272065
#SPJ2
David's wife sends him to the store to buy pickles and ice cream. Ice cream cost 3 dollars per pound and pickles costs 4 dollars per pound. David has 60 dollars in his wallet. Let x be the number of pounds of ice cream and y be the number of pounds of pickles that David purchases. State the inequality that represents his budget, and graph the solution that represents the possible combinations of x and y . Express your answer with the standard form a x + b y on the left side. The budget inequality is __________________
Answers
Answer:
3x+4y=60
Step-by-step explanation:
3x+4y=60
A plane is flying at an altitude of 17,000 feet. The angle of depression from the plane to the airport is 21 degrees. What is the distance between the plane and the airport, to the nearest tenth of a foot?
I'll give brainiest to correct answer!
Answers
Answer:
tan 21 = 17 000 / d
d = 17000/ tan21 = 44286.5 ft
in a recent year 33% of the college students were enrolled part-time. if 7.9 million students were enrolled part-time that year what was the total number of the college students?
Answers
Answer:
23.9393939393 million
Step-by-step explanation:
I keep it as 7.9 instead of 7900000 to not deal with the zeros.
7.9x[tex]\frac{100}{33}[/tex]=23.9393939393
23.9393939393 answer in millions
Write 5.7 decimal as a mixed fraction
Answers
Answer: 5 7/10
Step-by-step explanation:
Answer:
5 7/10
Step-by-step explanation:
See the image below for steps:)
Jonathan heard a news report that eating a gluten-free diet makes a person more likely to have a positive outlook on life. This sounded appealing, but he felt he should investigate the claim before drastically changing his diet. Jonathan asked 128128128 people at his school whether they eat gluten-free and then determined whether they are positive or negative people. Jonathan found that there was no association between eating gluten-free and having a positive outlook. With this knowledge, fill in the missing joint frequencies below:
Gluten-free Non- Gluten-free Row Total
Positive ________ ______________ 64
Negative ________ ______________ 64
Column Total 12 116 128
Answers
Answer:
The answer is "6, 58, 6 and 58"
Step-by-step explanation:
Using formula:
[tex]Cell\ value = \frac{(row \ total) \times (column \ total)}{total}[/tex]
[tex]Gluten-free \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Not\ gluten \ free \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Row \ total[/tex]
[tex]Positive\ \ \ \ \ \ \ \ \ \ \ \frac{12\times 64}{128}=6 \ \ \ \ \ \ \ \ \ \ \ \ \frac{116\times 64}{128}=58 \ \ \ \ \ \ \ \ \ \ \ 64 \\\\Negative\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{12\times 64}{128}=6 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{116\times 64}{128}=58\ \ \ \ \ \ \ \ \ \ \ 64 \\\\Column\ Total \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 12\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 116\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 128[/tex]
What is the probability of flipping a coin 10 times and getting tails 6 times? Round your answer to the nearest tenth of a percent. O A. 20.5% B. 11.7% O C. 1.0% O D. 4.4% SUBMIT
Answers
Answer:
0.2051
Step-by-step explanation:
The probability of follppping a coin 10 tones and getting a tail 6 times can be solved in different ways :
One way is to use the binomial probability relation :
Where :
P(x = x) = nCx * p^x * q^(n-x)
Number of trials, n = 10
p = 1/2 (probability of obtaining a tail per flip)
q = 1- 1/2 = 1/2
x = 6
P(x = 6) = 10C6 * 0.5^6 * 0.5^4
P(x = 6) = 0.205078125
P(x = 6) = 0.2051
If the total area of a dartboard is 804 in2 and the area of the bull's-eye is 50in2, what is the probability that a dart that randomly hits the dartboard will hit the bull's-eye?
Answers
Answer:
6.2%, option A.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
The desired area to hit is of 50 in², while the total area is of 804 in². Thus, the probability of hitting the bull's-eye is:
[tex]p = \frac{50}{804} = 0.062[/tex]
0.062*100% = 6.2%.
6.2%, option A.
Of all the students in a particular class, 20% have blue eyes. We want to run a
simulation to predict how many blue eye students will be chosen if we
randomly select 10 students. First, we need to assign digits to students that
have blue eyes and students that do not have blue eyes. If we were to use
single digits to represent both, which of the following would be a correct
method of assigning these digits?
Answers
Answer:A
Step-by-step explanation:
Talisa plans a 30-foot deep pond. While digging, she hits rock 25 feet down. How can Talisa modify
the radius to maintain the original volume of the pond?
Answers
9514 1404 393
Answer:
multiply the radius by √1.2 ≈ 1.0954
Step-by-step explanation:
Let the original depth and radius be represented by 30 and r. Let the modified depth and radius be represented by 25 and r'. Assuming the pond is uniform depth, the formula for the volume of a cylinder applies. The volume of a cylinder is given by ...
V = πr²h
In this application, we want the original and modified volumes to be the same.
πr²(30) = π(r')²(25)
(r')² = r²(30/25) = r²(6/5)
r' = r√(6/5)
The radius can be multiplied by √1.2 to maintain the original volume of the pond.
HELP PLEASE: Which is the equation of the graphed line written in
standard form?
O y = x
O x - 2y = 0
O x - y = 0
O ya
Answers
Answer:
[tex]x - y = 0[/tex]
Step-by-step explanation:
Required
The graph equation
From the graph, we have:
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (1,1)[/tex]
The slope of the graph is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{1-0}{1-0}[/tex]
[tex]m = \frac{1}{1}[/tex]
[tex]m =1[/tex]
So, the graph equation is:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 1 * (x - 0) + 0[/tex]
[tex]y = 1 * x[/tex]
[tex]y = x[/tex]
In standard form, we have:
[tex]x - y = 0[/tex]
answer?? what’s is the value of a
Answers
Answer:
13
Step-by-step explanation:
since the inside of a triangle is equal to 180
180-42-73=65
65/5=13 so 13 should be the answer.
Sum of the interior angles of a triangle= 180°
Therefore, 42°+ 73°+5a= 180°
=> 115°+5a = 180°
=> 5a= 180- 115°
=> 5a = 65°
=> a = 65°/5
=> a= 13°
Use the svd() function in MATLAB to compute , the rank-1 approximation of . Clearly state what is, rounded to 4 decimal places. Also, compute the root mean square error (RMSE) between and .
Answers
Answer:
Here is the Matlab code.
Step-by-step explanation:
Matlab Code:
[tex]A = [1 2 2;3 4 5;6 7 8]\\[U,S,V] = svd(A)u1 = U(:,1)\\u2 = U(:,2)\\u3 = U(:,3)\\d1 = dot(u1,u2)\\c = cross(u1,u2)\\d2 = dot(c,u3)[/tex]
[tex]d1 =- 5.5511e-17\\c = -0.7172 0.6643 -0.2103\\d2 = 1[/tex]
Yes, since c = cross(u1,u2) is orthogonal to both u1 and u2. Hence is u3, thus the dot product with u3 is 1.
Which statement is true about angles 1 and 2?
Answers
Answer:
2ND one is correct because of the box between them
what is pakistan ..........!?
Answers
Answer:
Pakistan is a south asian country that borders India, Iran, Afghanistan, and China
That is another country, it's right next door to India, Iran, Afganistan, Tajikistan, and across the water from it, is Oman.
at davidson's bike rentals it cost $42 to rent a bike for 9 hours. how many hours of bike use does a customer get per dollar?
Answers
Answer:
3/14 of an hour
Step-by-step explanation:
9 hours/42 dollars
An experiment consists of three steps. There are four possible results on the first step, three possible results on the second step, and two possible results on the third step. The total number of experimental outcomes is
Answers
Answer:
24 steps
Step-by-step explanation:
Given
[tex]Step\ 1 = 4[/tex]
[tex]Step\ 2 = 3[/tex]
[tex]Step\ 3 = 2[/tex]
Required
The total number of experimental outcomes (n)
This calculated by multiplying the results in each step.
[tex]n = Step\ 1 * Step\ 2 * Step\ 3[/tex]
[tex]n = 4*3*2[/tex]
[tex]n = 24[/tex]
Anna is in a cave 42 feet below the cave entrance. She descends 12 feet. then ascends 18 feet. Find her new position relative to the cave entrance.
Answers
Answer:
-36 or 36 ft below the entrance
Step-by-step explanation:
Her starting point is negative since it is below the entrance
-42
Descends 12 feet so subtract 12
-42 -12 = -54
Ascends 18 ft so go up 18 which means add 18
-54 +18 =-36