Recall: SOHCAHTOA
Sin M = Opp/Hyp
Reference angle = M
Opp = 3√/21
Hyp = 15
Sin M = (3-√21)/15
Sin M = √21/5
Cos M = Adj/Hyp
Reference angle = M
Adj = 6
Hyp = 15
Cos M = 6/15
Cos M = 2/5
Tan M = Opp/Adj
Reference angle = M
Opp = 3√21
Adj = 6
Tan M = (3√21)/6
Tan M = √21/2
:Therefore: Sin M = √21/5
Cos M = 2/5
Tan M = √21/2
Answer:
\(\sf \sin M=\boxed{\dfrac{\sqrt{21}}{5}}\)
Step-by-step explanation:
Trigonometric ratios
\(\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}\)
where:
\(\theta\) is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuseGiven:
\(\theta\) = MO = 3√21A = 6H = 15\(\sf \sin M=\dfrac{3\sqrt{21}}{15}\quad\cos M=\dfrac{6}{15}\quad\tan M=\dfrac{3\sqrt{21}}{6}\)
\(\implies \sf \sin M=\dfrac{3\sqrt{21}}{15}=\dfrac{\sqrt{21}}{5}\)
what is x+19=21 jsjwidhsnwnd
Answer:
x=2
Step-by-step explanation:
x+19=21
subtract 19 so x can be by itself, move it to the 21 side
and subtract21-19=2
Answer:
You solve. for X. The photo is the work and answer
If I get paid $28,333 a month and I spend 30% of my $28,333 how much money would I have left?
Answer:
the answer is 19,833.1
1. Identify the correct inverse trigonometric function
to use to solve for the given angle.
48
?
34
12 in.
4 in.
what is the perimeter?
Answer:
perimeter of rectangle is 2(L+B)
so
2( 12+4 )
2(16)
32 units
Given Length : 12in.
Given Breadth: 4in.
perimeter : 2( length + Breadth)
ㅤㅤㅤㅤㅤ: 2(12 + 4)
ㅤㅤㅤㅤㅤ: 2× 16
ㅤㅤㅤㅤㅤ: 32 in
What is the answer?????
Answer:
0.25
Step-by-step explanation:
A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. The 95% confidence interval for p is 0.59 ± 0.07. Interpret this interval.
Select one:
a. 95% of the students receive between 52% and 66% of their tuition in financial aid.
b. We are 95% confident that 59% of the students are on some sort of financial aid.
c. We are 95% confident that between 52% and 66% of the sampled students receive some sort of financial aid.
d. We are 95% confident that the true proportion of all students receiving financial aid is between .52 and .66.
Confidence interval for 'p' 0.59 ± 0.07 interprets the we are 95% confident that the true proportion of all students receiving financial aid is between .52 and .66.
A confidence interval is a type of interval calculation, obtained from observed data, that contains the true value of an unknown parameter.
It is associated with a confidence level that quantifies the confidence level at which the interval estimates the deterministic parameter.Also it is a term that defines a range of values with the probability to contain a population value that has an actual degree of confidence.This is represented in a situation where population means falls in between upper and lower intervals.Hence, in this case, the correct interpretation is option D: We are 95% confident that the true proportion of all students receiving financial aid is between .52 and .66
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One year ago, you allocated the funds in your portfolio among four securities in the proportions
listed below. The rate of return on each security for the year is given in the third column of the table.
Security
Canadian
Equity
Provincial
Bonds
Asian Equity
Ethical Funds
Proportion Rate of return for the
invested (%)
year (%)
25
10
35
30
12
7
22
-12
Calculate the rate of return for the entire portfolio.
The rate of return for the entire portfolio, given the amount allocated to each of the four securities is
How to find the rate of return ?The rate of return would be the expected return of the proportion of the amounts invested into the various investment vehicles and their rates of return.
The rate of return for the portfolio is therefore :
= ∑ ( proportion invested x rate of return )
= ( 25 % x 12 % ) + ( 10 % x 7 % ) + ( 35 % x 22 % ) + ( 30 % x - 12 % )
= 7. 8 %
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In how many different ways can the letters of the word BOOKKEEPER be arranged?
Answer:
3628800
Step-by-step explanation:
There are 10 letters, so the answer is 10!
10*9*8*7*6*5*4*3*2*1= 3628800
Answer:
151,200 ways
151,200 waysThe letters of the word BOOKKEEPER can be arranged in 151,200 ways. The group can be arranged in 8640 ways with all students of the same major together. There are 10 letters in the word bookkeeper. There is 1 B; 2 O's; 2 K's; 3 E's; 1 P; and 1 R.
S-348
a-1.7 t
Area
Perimeter
Type
s = 3.3 yds
a = 1 65 yds
Area
Perimeter:
Type:
7)
s=5.4 mm
a = 2.57 mm
Area:
Perimeter:
Type:
Identify and Calculate the Area and Perimeter for ea
2)
a-8.2 yds
c-94 yds
Area
Perimeter.
Type:
5)
a
b
Ares
8)
a 66 cm
Triangle
h
Perimeter
Type.
Area
b-4.6 yds
a
h- 5.98 cm
Trapezoi
a=2.5 cm
a-1.25 cm
Perimeter
Type
Can someone solve help solve these???
How much would you have to deposit today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would
earn?
Round to 2 decimal places and do not include the $
symbol.
Answer:
To calculate how much you would have to deposit today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn, we can use the formula for the present value of an annuity due:
PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)
where:
- PV is the present value of the annuity due (the amount you would have to deposit today)
- PMT is the monthly payment ($75)
- r is the annual interest rate (3.5%)
- n is the number of times interest is compounded per year (12 for monthly compounding)
- t is the number of years (10)
PV = 75 × ((1 - (1 + 0.035/12)^(-12×10)) / (0.035/12)) × (1 + 0.035/12) = **$7,360.47**
Therefore, you would have to deposit **$7,360.47** today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn.
A bag contains 8 red marbles, 3 blue marbles, and 1 green marble. Find P(not blue).
A. 9
B. 4/3
C. 1/4
D. 3/4
Please select the best answer from the choices provided.
IT WUU Tate for school on a
Given that 35.5% of them were men, 40% of them were women and the rest were
OXFORD
particular day, find the number of students who were punctual for school.
1800 people attended the National Day dinner in a certain constituency.
children, find the number of children who attended the dinner.
Answer:
Number of students = 441 Students
Step-by-step explanation:
Given:
Percent of women = 40%
Percent of women = 35.5%
Total number of people = 1,800
Find:
Number of students
Computation:
Percent of student = 100% - 35.5% - 40%
Percent of student = 24.5%
Number of students = 1,800 x Percent of student
Number of students = 1,800 x 24.5%
Number of students = 441 Students
Are (2, 5) and (5, 2) the same location? Why or why not?
Answer:
They are not in the same location
Step-by-step explanation:
Well because we have x axis and y axis, x always has to go first. In (2, 5) 2 is first and has to start from the x axis and 5 is the y axis. And the (5,2) is the opposite and the places would be in totally different places on the coordinate plane.
Answer: No
Step-by-step explanation: The order of coordinates for a given point is very important. For example, (2, 5) and (5, 2) represent two very different points on a coordinate system, as shown in the picture below.
A given point, such as (2, 5), is often reffered to as
an ordered pair because the order of coordinates is very important.
y= 3x^2 + 18x + 32 Identify the vertex, the axis of symmetry, and the maximum or minimum value
Answer:
Vertex: (-3,5)
Axis of symmetry: x=-3
Minimum Value: y=5
cooper's jump rope is for 4 2/5. luke's jump rope is 4 3/4 ft long. whose jump rope is longer? how much longer? show your work
Answer:
Juke's jump; by 0.35 feet
Step-by-step explanation:
Given that,
Cooper's jump rope is for \(4\dfrac{2}{5}\) feet.
Juke's jump rope is \(4\dfrac{3}{4}\) feet.
Cooper's jump is :
\(4\dfrac{2}{5}=\dfrac{22}{5}\ \text{feet}\\\\=4.4\ \text{feet}\)
Juke's jump is
\(4\dfrac{3}{4}=\dfrac{19}{4}\\\\=4.75\ \text{feet}\)
So, it is clear that Juke's jump is longer than Cooper's jump.
Juke's jump - Cooper's jump = 4.75 - 4.4
= 0.35 feet
or
So, Juke's jump is 375 feet longer.
The probability that a high school senior wins a prestigious scholarship is 0.13. The probability that a high school senior plays a varsity sport is 0.22 . If the probability that someone plays a varsity sport given that they won the scholarship is 0.55 , then what's the probability that someone wins the scholarship given that they play a varsity sport?
Answer:
0.325
Step-by-step explanation:
Let A represent the event: winning a prestigious scholarship
Let B represent the event: plays a varsity sport
Given
P(A) = 0.13P(B) = 0.22P(plays a varsity sport given that they won the scholarship)Therefore the probability that someone wins the scholarship given that they play a varsity sport is 0.325
Please find the surface area of the cone (image attached) and reduce answer to nearest tenth, if necessary.
Answer:
\( S.A = 135.6 yd^2 \) (
Step-by-step explanation:
Surface area of cone is given as:
Surface Area (S.A) = πr(r + l)
Where,
\( r = radius = 3 yd \)
\( l = slant height = 11.4 yd \)
Take π as 3.14
Plug the given values into the formula to find the surface area.
\( S.A = 3.14*3(3 + 11.4) \)
\( S.A = 9.42(14.4) \)
\( S.A = 135.6 yd^2 \) (rounded to the nearest tenth)
Jana wrote the ordered pairs (2, 2), (4, 3), and (10, 6). These ordered pairs satisfy a linear
function.
Which ordered pair satisfies the same linear function?
A (12, 8)
B(14, 7)
C (20, 11)
D(24, 16)
If Jana wrote the ordered pairs (2, 2), (4, 3), and (10, 6). The ordered pair satisfies the same linear function is :C (20, 11).
Which ordered pair satisfies the same linear function?To determine which ordered pair satisfies the same linear function as the given three ordered pairs, we can use the slope-intercept form of the equation for a linear function, which is y = mx + b, where m is the slope and b is the y-intercept.
First, we can find the slope of the linear function using two of the given ordered pairs. Let's use (2, 2) and (4, 3):
slope = (change in y) / (change in x)
slope = (3 - 2) / (4 - 2)
slope = 1/2
Now that we know the slope of the linear function is 1/2, we can use the point-slope form of the equation for a linear function to find the y-intercept:
y - y1 = m(x - x1), where (x1, y1) is one of the given ordered pairs and m is the slope we just calculated.
Let's use the ordered pair (4, 3) as (x1, y1):
y - 3 = (1/2)(x - 4)
y - 3 = (1/2)x - 2
y = (1/2)x + 1
Now we can substitute the x-coordinate of each of the answer choices into this equation to see which one gives us the corresponding y-coordinate:
For A (12, 8):
y = (1/2)x + 1
y = (1/2)(12) + 1
y = 7
So (12, 8) does not satisfy the same linear function.
For B (14, 7):
y = (1/2)x + 1
y = (1/2)(14) + 1
y = 8
So (14, 7) does not satisfy the same linear function.
For C (20, 11):
y = (1/2)x + 1
y = (1/2)(20) + 1
y = 11
So (20, 11) satisfies the same linear function.
For D (24, 16):
y = (1/2)x + 1
y = (1/2)(24) + 1
y = 13
So (24, 16) does not satisfy the same linear function.
Therefore, the answer is C (20, 11).
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PLZ AWNSER I HAVE 10 MIN TIMER PLZ HELP ME
PLWASE HELP WILL MARK BRAINLIST
Answer:
16 in
Step-by-step explanation:
Because you multiply 4in by 3in and you get 12 in. and you subtract 3in by 1in to get the height for the smaller box and you get 2in so multiply 2in by 2in to get 4in and add your products to 12in and 4 in to get 16 in!
Hope this helps!
I need help please.
Answer:
A because there isnt a mode, hope this helps\
An engineer multiplied 230.6 m times 3.0 m to obtain an area of 691.8 m². Using significant digits, how should he report
this area?
A. 700 m²
C. 692 m²
B. 690 m²
D. 691.8 m²
I need help. This is due in the next hour. (ಥ﹏ಥ)
Answer: 420 dollars
Step-by-step explanation: the expression would be 495-75=m where m=420
Please answer the screenshot.
Answer:
Brooke and Tony
Step-by-step explanation:
multiply by 4 Brooke got 64 Tony got 68.
. Solve the following
1. Jane had 4 apples
. She divided them so that she had just enough
fourths of an apple for each friend and herself. How many of them
were there?
20
2. Four-eighths of the class built a diorama while
of them built a
wishing well. Which activity had more members?
15
3. Renee Ann has a rope
that is
6/4 meters long. Baby has one that is 15/10 meters long. Who has a long rope?
Answer:
Step-by-step explanation:
1. If there are 4 apples, each apple has 4 fourths x 4 apples =16 fourths
2. Something is missing???
3. 6/4 x 5/5=30/20, 15/10 x 2/2=30/20 so both are same length
Which of the following is the solution to the
inequality below?
-4x-7<5
A. x>-1
B. x < -¹/
C. x>-3
D. x<-3
Answer:
the answer to this problem Is C. x>-3
Help againnnnnnnnnnnnnnnnnnnnnnnnn
Answer:
10 inchesStep-by-step explanation:
Hypotenuse = h
h^2 = 8^2 + 6^2
h^2 = 64 + 36
h^2 = 100
h = √100
h = 10
Hope that helps! :)
-Aphrodite
Which graph represents the function f (x) = 3 x minus 2 Over x minus 2?
Answer:
C
Step-by-step explanation:
One baseball team played 40 games throughout their entire season. If this baseball team won 14 of those games, then what percentage of their games did they win?
Answer:
They won 35% of their games.
Step-by-step explanation:
I just searched it up and got this. Hope it helps.
The price per gallon of gasoline rose from $2.43 to $3.24 in one year. What is the ratio of the increase in price to the original price?
The ratio of the increase in price to the original price is 1:3
What are equivalent ratios?
The ratios that are same when compared are called equivalent ratios. The equivalentity of two or more ratios can be determined by comparing them to one another. For instance, 1:2 and 2:4 have the same ratio.
Increase in price = $3.24 - $2.43 = $0.81
ratio of increase of price to original price is
$0.81 : $2.43
= 0.81/2.43
= 1/3
= 1:3
The ratio of the increase in price to the original price is 1:3
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