Find the sine, cosine, and tangent of angle A. Give your answer as a fraction in simplest form
I need help
Answers
Answer:
3/5, 4/5, 3/4
Step-by-step explanation:
First BC is 12 because of the Pythagorean Theorem. I use sohcahtoa to remember. sine is the side opposite of the angle divided by the hypotenuse of the triangle so 12/20 which is 3/5. cosine is adjacent / hypotenuse so 16/20 which is 4/5, and lastly tangent is opposite / adjacent which is 12/16 which is 3/4
The sine, cosine and the tangent of angle should be [tex]3\div 5, 4\div 5, 3\div 4[/tex].
Calculation of the sine, cosine, and tangent:Here first we determine the BC by applying the Pythagorean Theorem.
[tex]= 20^2 - 16^2\\\\= 400 - 256\\\\= 144[/tex]
So the BC should be 12
hence, based on this, we can say that The sine, cosine and the tangent of angle should be [tex]3\div 5, 4\div 5, 3\div 4[/tex].
Learn more about an angle here: https://brainly.com/question/3401487
Related Questions
Graph the equation.
y =2x-2
Answers
Answer:
Okay so
y = mx + b
m is the slope
b is the y intercept
Step-by-step explanation:
Step-by-step explanation:
I hope this helps I used desmos
f(x)= −2x^2 + 8x − 10
{Find } f(-4)
Answers
Answer:
simply you have to substitute (-4) for all the (x) terms-2x²+8x -10-2(-4)²+8×(-4)-10-2(16) - 32 -10-32 -32 - 10-74
How far is `10\%` of a `2,000`-kilometer trip?
Answers
Whitney has 20 coins in her purse. Some are quarters and some are dimes. The total value of the coins is $3.35. How many quarters does Whitney have?
Answers
Answer:
I think it's 15 Quarters.
Step-by-step explanation:
The required number of dimes and quarter Whitney has is 11 and 9 respectively.
Given that,
Whitney has 20 coins in her purse. Some are quarters and some are dimes. The total value of the coins is $3.35. The number of quarters Whitney have is to be determined.
Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
Let the number of dimes be x and the number of quarters be y,
According to ot the question,
x + y = 20
x = 20 - y - - - - (1)
and
0.1x + 0.25y = 3.35
From equation 1
0.1[20 - y] + 0.25y = 3.35
y = 9
Now,
x = 20 - 9
x = 11
Thus, the required number of dimes and quarters Whitney has is 11 and 9 respectively.
Learn more about simultaneous equations here:
https://brainly.com/question/16763389
#SPJ2
Evaluate 3x-(5x-1)-3(2x-10)
Answers
Answer:
-8x + 31
Step-by-step explanation:
Hope it helps, have a great day
Please help
Part b is how much farther would she have to walk if she stopped at randis house before continuing on to the store
Answers
Answer:
10 units
Step-by-step explanation:
Distance from Sarah's house to Randi's house = 6 units.
Distance from Randi's house to store = 8 units.
By using Pythagoras theorem:
Distance from Sarah's house to store
[tex] = \sqrt{ {6}^{2} + {8}^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units[/tex]
HELP with this problem please
Answers
Answer: 2
Step-by-step explanation:that is the one that is used the most?
Carmen deposits $4000 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 3 years?
Answers
Answer:
$360
Step-by-step explanation:
I = Prt
I = 4000 * 3 * 3%
I = 12000 * 3% (Convert 9000 and 3% into fractions.)
I =12000/1 * 3/100 (100 and 12000 have a GCF of 100)
I = 120/1 * 3/1 (Disregard the over 1 portion.)
I = 120 * 3 (Multiply 120 by 3 to get 360.)
I = $360
the area of a rectangle is 49.7cm2, and the width the rectangle is 3.5 cm what is the length rectangle cenimeters
Answers
Answer:
Answer = 14. 2
Step-by-step explanation:
Area of rectangle = length x breath
So, area here is = 49.7 cm2
Breath = 3.5 cm
49.7 = length x 3.5
Length = 49.7 ÷ 3.5
Length = 14.2 cm
The chair of the operations management department at Quality University wants to construct a p-chart for determining whether the four faculty teaching the basic P/OM course are in control with regard to the number of students who fail the course. Accordingly, he sampled 100 final grades from last year for each instructor, with the following results Instructor Number of Failures Prof. A 13 Prof. B 0 Prof. C 11 Prof. D 16 What are the .95 (5 percent risk of Type I error) upper and lower control limits for the p-chart
Answers
Answer:
Prof B and Prof D
Step-by-step explanation:
Step-by-step explanation:
From the question we are told that
Sample size 100
Instructor Number of Failures
Prof. A 13
Prof. B 0
Prof. C 11
Prof. D 16
Confidence level= 0.95
From Z table
Z=1.96
Generally proportion for failure is mathematically given as
[tex]Proportion\ of\ Failure\ P=\frac{Number\ of\ Failure\ N}{Sample\ size\ S}[/tex]
[tex]P=\frac{N}{S}[/tex]
For Prof A
[tex]P_A=\frac{N_A}{S}[/tex]
[tex]P_A=\frac{13}{100}[/tex]
[tex]P_A=0.13[/tex]
For Prof B
[tex]P_B=\frac{N_B}{S}[/tex]
[tex]P_B=\frac{0}{100}[/tex]
[tex]P_B=0[/tex]
For Prof C
[tex]P_C=\frac{N_C}{S}[/tex]
[tex]P_C=\frac{11}{100}[/tex]
[tex]P_C=0.11[/tex]
For Prof D
[tex]P_D=\frac{N_D}{S}[/tex]
[tex]P_D=\frac{16}{100}[/tex]
[tex]P_D=0.16[/tex]
Generally the average proportional failure is mathematically given as
[tex]P_a_v_g=\frac{0.13+0+0.11+0.16}{4}[/tex]
[tex]P_a_v_g=0.10[/tex]
Therefore having this we calculate for the control limits
Generally the upper control limit UCl is mathematically given as
Upper control limits:
[tex]UCL =P_a_v_g +Z\sqrt{\frac{P_a_v_g(1-P_a_v_g) }{S} }[/tex]
[tex]UCL =0.1 +1.96\sqrt{\frac{0.1(1-0.1) }{100}}[/tex]
[tex]UCL =0.1 +1.96*0.03[/tex]
[tex]UCL =0.1 +0.0588[/tex]
[tex]UCL =0.1588[/tex]
Generally the upper control limit UCl is mathematically given as
Lower limit control limits:
[tex]UCL =P_a_v_g _Z\sqrt{\frac{P_a_v_g(1-P_a_v_g) }{S} }[/tex]
[tex]UCL =0.1 -1.96\sqrt{\frac{0.1(1-0.1) }{100}}[/tex]
[tex]UCL =0.1 -1.96*0.03[/tex]
[tex]UCL =0.1 -0.0588[/tex]
[tex]UCL =0.0412[/tex]
Therefore the Range is 0.0412 to 0.1588
Given the range 0.0412 to 0.1588 Prof B and Prof D are outside the Range making them the correct options
The number of pounds that can be safely loaded onto an elevator, X, can be represented by
the inequality x < 1,200. Which number line correctly represents this inequality?
Answers
Answer:
the third one
Step-by-step explanation:
The inequality says X is less than 1200, this means the arrow needs to be pointing to the left. Because X cannot equal 1200, the circle on 1200 should not be filled in. It is only filled in if it is included.
Answer:third one
Step-by-step explanation:
Does this graph show a function? Explain how you know.
Answers
Answer:
A
Step-by-step explanation:
It may look like it failed but it didn't. Nun of the points duplicate
simplify the expression t+2+6t
Answers
Answer:
2+7t
Step-by-step explanation:
combine like terms
t+2+6t
2+7t
There are 946 milliliters in a quart. There are 2 pints in a quart.
How many milliliters are in a pint?
Answers
Answer:
473
Step-by-step explanation:
I divided 946 and 2 and got 473. I'm not 100 percent this is correct but whatever
Giving brainliest. 7th grade math
Answers
In the diagram the radius of the outer circle is 2x cm and the radius of the inner circle is 6 cm. The area of the shaded region is 160
Answers
let's find the area of the outer circle and the inside circle
the inside's circle area
A= π x 6²=36π
the outer's
A' = π x 4x²= 4πx²
A'-A=4πx²- 36π=160πcm² equivalent to x²- 9=40, so x²=49 implies x =sqrt(49)=7, x=7.
It'll be a life saver if you guys can actually help me with this problem.. Please.
There are 500 cars in Frank's junkyard; 350 blue and 150 red. If Joe randomly selects 25 cars from his yard, what's the probability he'll get from 14 to 20 blue cars, inclusive? Could this be considered an almost binomial event?
A. P(x=14) + P(x=15) + P(x=16) + P(x=17) + P(x=18) + P(x=19) This is an almost binomial event.
B. binomcdf(25,.7,20) - binomcdf(25,.7,14) This is almost binomial event.
C. (25/14)(.7)^14(.3)^11 + (25/15)(.7)^15(.3)^10 + ... + (25/19) (.7)^19(.3)^6 + (25/20)(.7)^20(.3)^5 This is an almost binomial event
D. P(14 < x <20) Not an almost binomial event.
E. binompdf(25,.7,20) - binompdf(25,.7,14) Not an almost binomial event
Answers
Answer:
C. (25/14)(.7)^14(.3)^11 + (25/15)(.7)^15(.3)^10 + ... + (25/19) (.7)^19(.3)^6 + (25/20)(.7)^20(.3)^5 This is an almost binomial event
Step-by-step explanation:
I think
what is the degree of x^6+4x-3
Answers
Answer:
1.2599
Step-by-step explanation:
What is the probability of picking a yellow marble and a blue marble of the yellow marble is replaced ?
Answers
Answer:
50%
Step-by-step explanation:
What is the volume of Box 3?
Answers
Answer:A
Step-by-step explanation: U need to show us the box next time though.Luckly i had the same test.
Answer:
the answer is B had the same test
Step-by-step explanation:
(a) Write 1.04 x 10as an ordinary number.
(b) Write 0.06 in standard form.
4.62 x 10% tins of beans were sold last year.
These tins of beans cost a total of £300.3 million.
(c)Work out the average cost per tin of beans.
Answers
Answer: here are your answers, Add 3.45 X 1010 and 2.75 X 108. The first number is the same as 345 X 108. Note how as the decimal point moves, the exponent changes. Adding them, we get 347.75 X 108 or – less accurately – 3.48 X 1010.
Add 4.00 X 1012 and 7.55 X 1012. The answer is 11.55 X 1012 or 1.16 X 10 13.
Step-by-step explanation: here are your answers, Add 3.45 X 1010 and 2.75 X 108. The first number is the same as 345 X 108. Note how as the decimal point moves, the exponent changes. Adding them, we get 347.75 X 108 or – less accurately – 3.48 X 1010.
Add 4.00 X 1012 and 7.55 X 1012. The answer is 11.55 X 1012 or 1.16 X 10 13.
Describe the end behavior of a ninth-degree polynomial with a negative leading coefficient
Answers
Given:
The degree of polynomial = 9
Leading coefficient is negative.
To find:
The end behavior of the polynomial.
Solution:
Let the polynomial be P(x).
We have,
Degree of polynomial = 9, which is odd.
Leading coefficient is negative.
If the degree of a polynomial is odd and leading coefficient is negative, then
[tex]P(x)\to \infty\text{ as }x\to -\infty[/tex]
[tex]P(x)\to -\infty\text{ as }x\to \infty[/tex]
Therefore, the end behavior of the given polynomial is [tex]P(x)\to \infty\text{ as }x\to -\infty,P(x)\to -\infty\text{ as }x\to \infty[/tex].
1010 rubber stamps cost \$10.30$10.30dollar sign, 10, point, 30.
Which equation would help determine the cost of 222 rubber stamps?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\dfrac{2}{x} = \dfrac{\$10.30}{10}
x
2
=
10
$10.30
start fraction, 2, divided by, x, end fraction, equals, start fraction, dollar sign, 10, point, 30, divided by, 10, end fraction
(Choice B)
B
\dfrac{x}{2} = \dfrac{10}{\$10.30}
2
x
=
$10.30
10
start fraction, x, divided by, 2, end fraction, equals, start fraction, 10, divided by, dollar sign, 10, point, 30, end fraction
(Choice C)
C
\dfrac{2}{10} = \dfrac{\$10.30}{x}
10
2
=
x
$10.30
start fraction, 2, divided by, 10, end fraction, equals, start fraction, dollar sign, 10, point, 30, divided by, x, end fraction
(Choice D)
D
\dfrac{2}{\$10.30} = \dfrac{x}{10}
$10.30
2
=
10
x
start fraction, 2, divided by, dollar sign, 10, point, 30, end fraction, equals, start fraction, x, divided by, 10, end fraction
(Choice E, Checked)
E
None of the above
Answers
Answer:
none of the above
Step-by-step explanation:
picks your answer as the Brainliest
Answer: E. none of the above. The top answer is correct. I check on khan. :D
Mr. Hunterhad 25 students in his 4th period math class. The next day, he has
only 20 students. What is the percent decrease in the number of students in
Mr. Hunter's class?
Answers
Answer:20 percent
Step-by-step explanation:correct me if I’m wrong
Pls help easy points
Answers
Answer: The tax for one dollar is $.0825. The tax for the 12 dollar soap is $.99
Step-by-step explanation:
To figure this out you divide the tax by the price. (.66 divided by 8) This means its .0825 tax for every dollar.
In 1850, there were 564 textile mills in New England states with a total of 61,893 workers. The average wmployment per textile mill was ?
Answer Choices
109
110
108
111
Answers
Write an equation in slope-intercept form for the line.
slope: 0.8, y-intercept: 10
Group of answer choices
y = –0.8x + 10
y = 0.8x – 10
y = 0.8x + 10
y = 5/7x + 10
Answers
Answer:
y = 0.8x – 10
This is the correct answer.
Step-by-step explanation:
What is the slope for this??
Answers
Answer:
slope: [tex]\frac{13}{4}[/tex]
Step-by-step explanation:
:)
ben made 14 field goal he made about 74% how many did he try
Answers
74% of 14 is 10.36
Round it to a whole number
=10
Which of these expressions equal 15 when x=1/2 and y=3? Circle all that apply. Please help with this my teacher need me to work out xy+3 1/2+20x Btw guys 3 1/2 are mixed numbers if your wondering
Answers
Answer:
15
Step-by-step explanation:
First you would replace the x and y's with 1/2 and 3.
So it would look like: (1/2) (3) + 3 1/2 + 20 (1/2)
Next, you go by PEMDAS (parenthesis, exponents, multiplications, division, addition, subtraction)
So you would first multiply and the parenthesis that I added mean multiplication.
1.5 + 3.5 + 10
So then all that is left to do is add because I multiplied everything out.
So it is 5 + 10 which is 15