Can anyone explain how to do this? The answer isn't as important as the explanation. My teacher gave us a video w/o an example like this so I don't know what to do lol
Answers
Answer:
x = 182.53
Step-by-step explanation:
Use trigonometric ratios to find the whole side length (a) adjacent to 20° and the side length (b) adjacent to 57° respectively. Then find the difference. That would give you the value of x. That is: a - b = x
Let's solve.
✍️Finding the whole side length adjacent to 20°:
Opp = 87
Adjacent length = ? = a
[tex] \theta = 20 [/tex]
Thus,
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Plug in the values
[tex] tan(20) = \frac{87}{a} [/tex]
Multiply both sides by a
[tex] tan(20) \times a = \frac{87}{a} \times a [/tex]
[tex] tan(20) \times a = 87 [/tex]
Divide both sides by tan(20)
[tex] \frac{tan(20) \times a}{tan(20)} = \frac{87}{tan(20)} [/tex]
[tex] a = \frac{87}{tan(20)} [/tex]
[tex] a = 239.03 [/tex]
Finding the side length adjacent to 57°:
Opp = 87
Adjacent length = ? = b
[tex] \theta = 57 [/tex]
Thus,
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Plug in the values
[tex] tan(57) = \frac{87}{b} [/tex]
Multiply both sides by b
[tex] tan(57) \times b = \frac{87}{b} \times b [/tex]
[tex] tan(57) \times b = 87 [/tex]
Divide both sides by tan(57)
[tex] \frac{tan(57) \times b}{tan(57)} = \frac{87}{tan(57)} [/tex]
[tex] b = \frac{87}{tan(57)} [/tex]
[tex] b = 56.50 [/tex]
Therefore:
x = a - b
x = 239.03 - 56.50
x = 182.53
Related Questions
In Oscar's grade, 70 students are enrolled in health and 30 students are not. What
percentage of the students in the school are enrolled in health?
Write your answer using a percent sign (%).
Answers
Answer:
70%
Step-by-step explanation:
Step 1:
70 + 30 = 100 Add
Step 2:
Total of 100 Students
Step 3:
70/100 Divide
Answer:
70%
Hope This Helps :)
Answer:
70% of the students are enrolled in health class.
Step-by-step explanation:
We are given that there are 70 students enrolled in health and that 30 are not. Therefore, we need to determine the total number of students in Oscar's grade.
[tex]70 + 30 = 100[/tex]
Oscar has 100 students in his grade. If 70 of those students are enrolled in health, we can divide those students by the total number of students and convert our fraction to a decimal and then a percentage.
[tex]\displaystyle\frac{70}{100} = \frac{7}{10} = 0.7\\\\0.7 \times 100 = 70\%[/tex]
Therefore, 70% of the students are enrolled in health class.
Which cannot be the angle measurements of triangle ABC? OmZA = 55°, mZB = 65°, mZC = 60°
OmZA = 60°, mZB = 60°, mC = 60°
MZA= 57°, MZB = 58°, mZC = 65°
MZA = 61°, mZB = 57°, mZC = 61°
Answers
Answer:
Last option is the correct answer.
[tex] m\angle A = 61°, m\angle B = 57°, m\angle C = 61°[/tex]
Step-by-step explanation:
Since, 61° + 57° + 61° = 179° < 180°
Therefore,
[tex] m\angle A = 61°, m\angle B = 57°, m\angle C = 61°[/tex] cannot be the measurements of triangle ABC.
1.The annual salary of teachers in a certain state X has a mean of $54,000 and standard deviation of σ = $5,000. What is the probability that the mean annual salary of a random sample of 64 teachers from this state is less than $52,000?The mean of the sampling distribution of sample of means is $52,000 or $54,000 and the standard deviation is Select an answer $625 or $5000 . 2, The z-score for this problem is Select an answer .4 or -.4 or 3.2 or -3.2 . 3.What is the probability of that the mean annual salary of a random sample of 64 teachers from this state is less than $52,000?A) .0007B) .9993C) .3446D) .6554
Answers
Answer:
1
Step-by-step explanation:
The value of z-score will be –0.4. Then the correct option is B. The probability will be 0.34458. Then the correct option is C.
What is the z-score?The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x – μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
The annual salary of teachers in a certain state X has a mean of $54,000 and standard deviation of σ = $5,000.
The probability that the mean annual salary of a random sample of 64 teachers from this state is less than $52,000 will be
The mean of the sampling distribution of sample of means is $54,000 and the standard deviation is select an answer $5000.
Then the z-score will be
z = (52000 – 54000) / 5000
z = –2000 / 5000
z = –0.4
Then the correct option is B.
Then the probability will be
P(x < 52000) = P(z < 0.-4)
P(x < 52000) = 0.34458
Then the correct option is C.
More about the z-score link is given below.
https://brainly.com/question/15016913
#SPJ2
Solve each inequality
please help if you're good with algebra!!
Answers
Answer:
1. [tex]x>6[/tex]
2. [tex]b<-24[/tex]
3. [tex]w>7[/tex]
4. [tex]s\leq 7[/tex]
5. [tex]g\leq 20[/tex]
6. [tex]f<11[/tex]
7. [tex]m<-14[/tex]
8. [tex]p\leq 9[/tex]
Step-by-step explanation:
9. [tex]c>-4[/tex]
10. [tex]y\leq -9[/tex]
11. [tex]t\leq 10[/tex]
12. [tex]k\geq 18[/tex]
13. [tex]x<-4[/tex]
14. [tex]c<24[/tex]
15. [tex]m\geq -3[/tex]
16. [tex]n<21[/tex]
Donte simplified the expression below.What mistake did Donte make?
Answers
Amanda’s dog eats 12 1/3 pounds of dog food in 4 2/7 weeks. How much does her dog eat per day?
Answers
Answer:
the dog eats 2.8 pounds of dog food per day
Step-by-step explanation:
I would really appreciate it if someone could answer and explain this problem thanks :)
Answers
Answer:
it is A
Step-by-step explanation:
Vertical angles are angles that are opposite eachother
y-4=-x+7 in standard form.
Answers
Answer:
Step-by-step explanation:
x + y = 11
The weights of ice cream cartons are normally distributed with a mean weight of 13 ounces and a standard deviation of 0.5 ounce. (a) What is the probability that a randomly selected carton has a weight greater than 13.14 ounces? (b) A sample of 36 cartons is randomly selected. What is the probability that their mean weight is greater than 13.14 ounces?
Answers
Answer:
The weights of ice cream cartons produced by a manufacturer are normally distributed with a mean weight of 10 ounces and a standard deviation of 0.5 oun
2. Soive: (14x - 8) - 2(3x - 6)
a. 8x + 4
b. 20x + 4
19x + 14
d. 8x - 20
Answers
Answer:
A
Step-by-step explanation:
Distribute the -2 into (3x-6)
combine like terms!!
8x+4
Answer:
A.) 8x + 4
Step-by-step explanation:
Due to an important situation Krish is in need of Dh. 8000 . He has two ways to fulfil his need
Way 1:- withdraw money using his credit card . He has to pay Dh 4000 as interest after 5 years. Assume that he didn’t repaid the amount before 5 years.
Way 2:- Take a loan of Dh 8000 from bank for 3 years at 10% rate of interest . (Krish will not pay money before the 3 years.)
A) What do you suggest which one is the best option? Explain through calculation
B) How can you decrease the interest on a loan of Dh3000 financed for a period of 5
years?
SELECT ALL THAT APPLY
a. Add more to the principal
b. Take out a loan to the lower interest rate.
c. Decrease the number of years
d. Increase the number of years.
Answers
Please help I’ll number 12!
Answers
Answer: y = -3/4x - 0.75
Step-by-step explanation:
The slope needs to be negative so that it's perpendicular to
y = 3/4x - 1
The equation then looks like this
y = -3/4x
We can get an exact y intercept number by using the cordinates
Lets input cordinates (3,-3)
-3 = -3/4(3)
-3 = -2.25 - 75 ( I inferenced )
-3 = -3
now that we got the y intercept lets put it all together
y = -3/4x - 0.75
Is this a linear pair? Does it share a common side?
Answers
Answer:
Yes, Yes
Step-by-step explanation:
Write and equation in standard form of the line shown.
Answers
m=5
b=0
y=5x+0
trust me
What is standard form for this equation?
Answers
y−y1=m(x−x1)=
Slope intercept form: y=2/3x−16/3
-Your points are (2,-4) and your m is 2/3
2. Plug these into the formula
- y—4=2/3(x-2) (the formula says y-y1 put you still put your -4 that’s why it looks weird)
3. You follow the steps to solvin this formula and your answer should be 2x-3y=16
Assume that the wavelengths of photosynthetically active radiations (PAR) are uniformly distributed at integer nanometers in the red spectrum from 675 to 695 nm. What is the mean, ?, and variance, ?2, of the wavelength distribution for this radiation? Round your answers to one decimal place.
mean, ? =
variance, ?2 =
Answers
Answer:
Mean=685
Variance=36.7
Step-by-step explanation:
The mean of uniform discrete distribution can be expressed as the average of the boundaries
mean=( b+a)/2
The variance of uniform discrete distribution can be expressed as the difference of the boundaries decreased by 1 and squared, decreased by 1 and divided by 12.
σ²=[(b-a+1)^2 - 1]/12
We were given the wavelength from from 675 to 695 nm which means
a= 675, b= 695
We can now calculate the mean by using the expresion below
mean=( b+a)/2
Mean=( 675 + 695)/2
=685
The variance can be calculated by using the expression below
σ²=[(b-a+1)^2 - 1]/12
σ²=[(695-675+1)^2 -1]/12
σ²=440/12
σ²=36.7
Therefore, the the mean and variance, of the wavelength distribution for this radiation are 685 and 36.7 respectively
What vertical line (V) and horizontal line (H) intersect at point B?
Answers
Help me please please
Answers
One Moment Loading...
the product of 45/87 and --9/10 is
Answers
Answer:
0.4655172413793
Step-by-step explanation:
45/87 ×-9/10 i
405÷870
0.4655172413793
Mr Kumar bought a car for $5,000
During the first year, its value depreciated by 20%. What was the value of the car after one year?
A $1,000
B $4,000
C $4,500
D $6,000
Answers
Answer:
b
Step-by-step explanation:
20% of 5000 is 1000 so 5000-1000=4000
Answer:
the answer is A trust me its right
Is 5/20 a rational number
Answers
Answer:
yes because it is written as a fraction
Answer:
Yes it is.
Step-by-step explanation:
5/20 is the fraction we're starting off with. let's make it into a decimal. 20x5 is 100, and 5x5 is 25. So the fraction we have now is 25/100, which is similar to .25. .25 is a rational number since it represents the fraction, ratio 25/100. Both 25 and 100 are integers.
Not a question, but a suggestion.
If your currently under recome learning, USE MATHPAPA INEQUALITY CALCULATOR. I love using it, when having a hard time help a rek.
Hope this helps, have a good holiday!
Answers
Answer:
thank you! you too
Answer:
Nice thanks for the tip! (and the free points) Have a good holiday to urself too!
Step-by-step explanation:
HOW WILL YOU DEAL WITH YOUR NEGATIVE ATTITUDES? ???
Answers
Answer:
I usually try and practice changing my mindset. Just try to look at things from another perspective, and if you can't, try thinking the OPPOSITE of what you thought.
Think homework is hard? Say to yourself, "Homework is easy." and trudge on through. After some time, your mindset *will* improve, and your attitudes will change from negative to positive.
Also, try to go out more often. Doing exercise, socializing, all of which will produce serotonin and will improve your outlook on life and attitude.
Step-by-step explanation:
Thanks, and please give me Brainliest!
Find n and r 10 points
Answers
Answer:
i think i can see the picture
Step-by-step explanation:
Dorian posted two online videos on the same day. The total number of views for Video A after t days can be modeled by the equation v = 12t. The total number of views for Video B after t days is shown by the graph. Which statement is true?
Answers
Answer: C The rate of change for the function for video a is constant but the rate of change for video b is not constant
Step-by-step explanation:
12.) At a bowling alley, there is a $5.00 fee for renting shoes. It costs $1.25 for each game bowled. If you have $10 have many games can you bowl?
A.7 games
B.4 games
C.2 games
D.5 games
Answers
I need help on this please!!!
Answers
Answer:
Step-by-step explanation:
1. False D' is in quad 4
2. True it is reflected about the y axis. That puts it in 3. If it was rotated about the x axis, it would be in quad 1
3. As long as there is no point going through the origin, then the statement in 3 is true. You have to understand that in quad 4 all y values are minus.
4. False. If D was entirely contained in quad 2, then in quad 3 the x values will be minus. As a matter of fact, so will the y values.
Grandma makes chocolate chip cookies in batch of 100, and you choose one cookie at random. How many chips should she put in the dough so that the probability your cookie contains no chip is 0.02?
Answers
Answer:
391 chips
Step-by-step explanation:
This is a Poisson distribution problem with the formula;
P(X = k) = (e^(-λ) × λ^(k))/k!
Let n be the number of chips she puts in the dough.
Since she makes chocolate chip cookies in batch of 100, then the mean number of chips is n/100.
So, λ = n/100
Now, we want to find how many chips should she put in the dough so that the probability your cookie contains no chip is 0.02.
Thus;
P(X = 0) = (e^(-λ) × λ^(0))/0! = 0.02
This gives;
e^(-λ) = 0.02
Putting λ = n/100, we have;
e^(-n/100) = 0.02
-n/100 = In 0.02
-n/100 = -3.912
n = -100 × -3.912
n ≈ 391 chips
Each axis on a graph should be:
labeled
equal
numbered
vertical
Answers
Answer:
labeled is the answer your looking for
I WILL BRAINLEST THE FIRST CORRECT PERSON TO ANSWER THIS * view image*
Answers
Answer:
11 22 333 444 66% 88 have a blessed day and get 100% ok
Step-by-step explanation: