Answers
Answer:
option D is true.
Step-by-step explanation:
The right-angled triangle is shown.
From the right-angled triangle,
The angle Ф = 60°
We know that the trigonometric ratio
tan Ф = opposite / adjacent
opposite = 4adjacent = nThus,
tan 60 = 4 / n
√3 = 4/n
n = 4/√3
Thus,
n = 4/√3
= (4 × √3) / (√3 × √3)
= 4√3 / 3
Thus,
n = 4√3 / 3
Using Pythagorean theorem
m = √n²+4²
[tex]m=\sqrt{\left(4\cdot \frac{\sqrt{3}}{3}\right)^2+4^2}[/tex]
[tex]m=\sqrt{\frac{4^2}{3}+4^2}[/tex]
[tex]m=\sqrt{\frac{64}{3}}[/tex]
[tex]m=\frac{8}{\sqrt{3}}[/tex]
[tex]m=\frac{8\sqrt{3}}{3}[/tex]
Thus,
[tex]m=\frac{8\sqrt{3}}{3}[/tex]n = 4√3 / 3Therefore, option D is true.
Related Questions
3x2 + 18x + 27
How many solutions does the quadratic equation have?
Answers
Answer:
Has only 1 solution
Step-by-step explanation:
A circle representing a pool is graft with a center at the origin grant enters the pool at point A and swims over to a friend who is located at point B
which equation represents grants path
Y=2-4x
Y=4-x/2
Y=6-x/4
Y=8-2x
Answers
Which equation is NOT an example of a linear function? A) y = 9 - 2x 6 B) y X C) y= + 9 2 D) y у; X-8 6
Answers
Answer:
c
Step-by-step explanation:
im sorry if it's not correct
A cereal manufacture has a machine that files the boxes. Boxes are labeled as 16 ounces, which is the target fill (x). The lawyers want to fill the boxes more to avoid lawsuits regarding under filling and the company president vetoes that plan, saying the company should be giving away less free cereal, not more. Her goal is to set the machine no higher than 16.2 ounces and have only 4% underweight boxes. The only way to accomplish this is to reduce the standard deviation. What standard deviation must the company achieve
Answers
Answer:
σ = 0,11
Step-by-step explanation:
We assume the boxes filling process follows a Normal Distribution, then
z(score) = ( X - μ ) /σ or z(score) = ( μ - X ) /σ
depending of the tail of the curve ( as we are evaluating boxes below mean we need to use the second equation )
where μ and σ are the mean and the standard deviation of the population
As the goal is to have boxes with no higher than 16,2 ou and only 4% of underweight boxes
4% is 0,04 that should be the area under the bell shape curve then from z table we find z(s)
z(s) = - 1,75
z(s) = ( μ - X )/σ
- 1,75 = ( 16,2 - 16 ) / σ
σ = 0,2 / 1,75
σ = 0,11
Let u = (1,5), v = (-3, 3), and w = (2,3). What is the direction angle of 4w - (2u + v)?
Answers
Answer: d=353.7°
Step-by-step explanation: edge 2020
A varsity boy's basketball team has a ratio of seniors to juniors that is 7:4. The varsity girl's basketball team has a ratio of seniors to juniors that is 3 to 2. If each team has 12 juniors, which team has more seniors?
Answers
Answer:
The varsity boys team
Step-by-step explanation:
-3x - 8 = 10
Usatestprep
Answers
Answer:
X = -6
Step-by-step explanation:
Add 8 to both sides
- 3x = 18
divide by -3
x = -6
Coach DeLeon purchases spirt equipment. Basketballs cost $20 each and soccerballs $18 each, he had a budget of $150
Answers
Answer:
basketballs
Step-by-step explanation:
a inequality is less then or greatee then the basketballs are more
A $129 Coach wallet has a 10% tax applied to it. What is the final cost of the wallet?
Help Me Pls!
Answers
Answer:
141.9
Step-by-step explanation:
129*10%
Move the decimal over 2 places
129×.10
12.9
129+12.9
141.9
Answer:
0.1x129=12.9 129+12.9=141.9
A store is having a sale in which the cost of any item is 35% off.
Can the expression be used to find the cost, x, of an item?
Select Yes or No. Please look at your picture.
Answers
Answer:
1. no
2. yes
3. no
4. yes
Step-by-step explanation:
only the second and last expression works. If x is the final cost, and it is 35% off, then you are subtracting 0.35xor keeping 0.65x
please give thanks by clicking heart button! :)
please help meeee
I need helpppp
Answers
Answer:
the slope is 5 i do y feel like doing the work buuut ik im right mark me as brainlyest if im right
An artist has completed 1/4 of paintings in 2 weeks. At what rate is she working?
Answers
Answer: the rate is (1/8) paintings per week
Step-by-step explanation:
We usually define the rate as the amount of work done in some unit of time.
In this case, we know that the artist does 1/4 of a painting in 2 weeks, then the rate can be written as:
(1/4)/2 paintings/week = (1/8) paintings/week.
This means that the rate is (1/8) paintings per week, this is the weekly rate at which she works.
solve each inequality below using the Addition principle. Draw a graph of each solution set.
X-7 greater than O
Answers
Answer:
x > 7
Step-by-step explanation:
Given
x - 7 greater than 0
Required
Solve as inequality and represent as a graph
greater than is represented with >
So, the equation is:
x - 7 > 0
Add 7 to both sides
x - 7 + 7 > 0 + 7
x > 0 + 7
x > 7
Next, the inequality is represented on a graph.
See attachment for graph
The shaded part of the graph represents the solution to the graph.
Trevor drove 202 miles in 4 hours and Maggie drove 330 miks in 6 hours. Which friend drove faster
Answers
Answer:
well trevor drove in a less time but maggie went faster so if you want who was the fastest it was trevor but and you want who went the farthest it was maggie
Step-by-step explanation:
hope this helps
Answer:
Trevor drove faster.
Explanation:
Since Maggie's miles did not double the amount with the addition of 2 more hours, I would assume her speed was slower.
Find the value of 24/25 divided by 4/5. Show your reasoning
Answers
Answer: 6/5
Step-by-step explanation:
24/25 divided by 4/5 equals 1.2 as a decimal and 6/5 as a fraction.
The simplified form of the expression is 30
Given the expression 24/25 divided by 4/5, this can also be written as:
x = 24/25 ÷ 4/5Replace the division sign with multiplication sign to have:
x = 24/25 × 5/4
x = 6 × 5
x = 30
Hence the simplified form of the expression is 30
Learn more on division here: https://brainly.com/question/25289437
what is 0.001332 in scientific notation i need help
Answers
Explanation:
Suppose you run a bookstore, and have ratings (1 to 5 stars) of books. Your collaborative filtering algorithm has learned a parameter vector for user j, and a feature vector for each book. You would like to compute the "training error", meaning the average squared error of your system’s predictions on all the ratings that you have gotten from your users. Which of these are correct ways of doing so (check all that apply)For this problem, let m be the total number of ratings you
have gotten from your users. (Another way of saying this is
that m=∑nmi=1∑nuj=1r(i,j)). [Hint: Two of the four options below are correct.]
a) 1m∑(i,j):r(i,j)=1((θ(j))Tx(i)−r(i,j))2
b) 1m∑nmi=1∑j:r(i,j)=1(∑nk=1(θ(j))kx(i)k−y(i,j))2
c) 1m∑(i,j):r(i,j)=1((θ(j))Tx(i)−y(i,j))2
d) 1m∑nuj=1∑i:r(i,j)=1(∑nk=1(θ(k))jx(k)i−y(i,j))2
Answers
plzz anwser ill give brainlest simplify 16- 8/15
Answers
Answer:
232/15 [as an improper fraction] or 15 7/15 [as a mixed fraction]
Explanation:
16 - 8 / 15 =
(16) - (8 / 15) =
((16 × 15) / 15) - ((8) / 15) =
((240) / 15) - ((8) / 15) =
(240 - 8) / 15 =
232 / 15 =
15 7/15
Help pleassss..................
Answers
Answer:
x=4
Step-by-step explanation:
First subtract by doing 64 minus 36. You are left with 28, divide by 7 and your answer is 4.
Answer: X = 4
Step-by-step explanation:
7x+36=64
7x+36−36=64−36
7x=28
Divide both sides by 7.
7x
7 =
28
7
x=4
HOPE THIS HELPS!!!!!! : )
The container that holds the water for the football team is 16 full. After pouring in 11 gallons of water, it is 23 full. How many gallons can the container hold?
Answers
Answer:
100
Step-by-step explanation:
5. Viruses spread at an exponential rate. Write a model for a virus that starts with 1 person and increases by 400% every week. Write an exponential model in the form y=ab^x to represent this situation.
Answers
Answer:
y = 4^xStep-by-step explanation:
Initial number is 1 so a = 1
Weekly growth rate is 400% which is 4 times increase, therefore b = 4
So the function becomes:
y = 4^xAssume that when adults with smartphones are randomly​ selected, 63​% use them in meetings or classes. If adult smartphone users are randomly​ selected, find the probability that exactly of them use their smartphones in meetings or classes.
Answers
Answer:
Solved using binomial, probability = 5.7%
Step-by-step explanation:
Number of people (N) = 7
Probability of success (using phone) = 63% = 0.63
So, probability of failure (not using phone) = 1 - 0.63 = 37
Number of success (r) = 2
N c r . P^r . Q^n-r
7 c 2 (0.63)^2 (0.37)^5
= 21 (0.3969) (0.0069)
= 0.057
I really need the answer ASAP
Answers
A=x+3
B=x+(1+2)
IDK- PLS HELP ME plss
Answers
Answer:
C and D
Step-by-step explanation:
all you do is multiply :)
What is the value of 3/7 ÷ 5/21 ?
Answers
Answer:
9/5 brainliest please
Step-by-step explanation:
Answer:
[tex] \frac{9}{5} \: or \: 1\frac{4}{5}[/tex]
Step-by-step explanation:
[tex] \frac{3}{7} \div \frac{5}{21} \\ \\ = \frac{3}{ \cancel7} \times \frac{ \cancel{21} \: \: \: \red{ \bold{3}}}{5} \\ \\ = 3 \times \frac{3}{5} \\ \\ = \frac{3 \times 3}{5} \\ \\ = \frac{9}{5} \\ \\ = 1 \frac{4}{5} \\ [/tex]
Find the value of x
Will give brainliest
Answers
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A motorcycle zoomed along the freeway, traveling 10 meters in
1/3 of a second. How fast was it going?
Answers
Answer:
30 meters per second I think
What is the slope of the line represented by the values in the table ?
Answers
Answer:
2
Step-by-step explanation:
14-(-2)/10-2
14+2/10-2
16/8
2
The right rectangular prism below has a square base?Select yes or no.
Answers
Answer:
no
Step-by-step explanation:
if it's a prism then it wont have a square bottom
Easy Unit Rate. Help quick!
Answers
Answer:
vuguvcfhhhhhhhhcgyy