Answers
Answer:
(c) -0.9682
Step-by-step explanation:
In quadrant II, the cosine is negative. Solving the given equation for the cosine gives ...
sin²(A) +cos²(A) = 1
cos²(A) = 1 -sin²(A)
cos(A) = -√(1 -sin²(A)) = -√(1 -(1/4)²) = -√(15/16) ≈ -0.9682
_____
The coordinates of a point on the unit circle are (cos(α), sin(α)). The attachment shows the point on the unit circle where sin(A)=1/4 in quadrant II. The x-coordinate is the cosine of the angle, about -0.97.
Related Questions
The following two-way table shows the data for the students of two different grades in a school:
Member of Public Library Not Member of Public Library Total
25
3
28
Grade 6
Grade 7
Total
23
7
30
48
10
58
Based on the relative row frequency, the students of which grade are more likely to be members of the public library?
The students of both grades are equally likely to be members of the public library
No conclusion can be drawn about the chances of a student being a member of the public library
Answers
What is the area of a circle with a diameter of 12 inches?
Answers
Step-by-step explanation:
[tex]radius = \frac{12}{2} \\ = 6 \\ area \: of \: circle =\pi \: {r }^{2} \\ = \pi \times {6}^{2} \\ \pi \times 36 \\ = 113.14[/tex]
anss....wer....
Answer:
can be solved in two ways here you go
one is by either by finding r and using the formula
Area = πr²
Or by directly using the formula
Area = 1/4 πd²
Two spheres have a scale factor of 3:8. The smaller sphere has a volume of 54pi cubic meters. Find the volume of the larger sphere. Write your answer in terms of pi.
Answers
Answer:
i dont know i tried really hard im not really good at math to be honest once again sorry
Step-by-step explanation:
marked price an article is 20% above its cost price. it is sold for rs 1100 at 10% profit find its marked price
Answers
Hey there!
Marked price (MP) = 1100 + Cost price (CP) ----(1)
If the watch was sold at discount of 20%, profit = Rs. 400
⇒ Selling price = MP - 20% of MP = 0.8MP
Also, Selling price = CP + 400
⇒ CP + 400 = 0.8MP
Substituting from (1),
⇒ CP + 400 = 0.8(1100 + CP)
⇒ CP + 400 = 880 + 0.8CP
⇒ 0.2CP = 480
⇒ CP = Rs. 2400
∴ To earn a profit of 30%, Selling price = 2400 + 30% of 2400 = 2400 + 720 = Rs. 3120
The perimeter of a rectangular field is 322 m.
If the width of the field is 67 m, what is its length?
Answers
Answer:
75
Step-by-step explanation:
322 = 2(86) + 2w
322 = 172 + 2w
322-172 = 172 +2w -172
150 = 2w
150/2 = 2w/2
w=75
Use substitution to find the value of y. x =3 x+y=7 step 1 : rewrite the equation step 2 :add or subtract to solve for y
Answers
Answer:
[tex]\huge\boxed{\sf y = 4 }[/tex]
Step-by-step explanation:
Given Equations:
x = 3 --------------------(1)
x + y = 7 ---------------(2)
Step 1: Substitute Eq. (1) in (2)
3 + y = 7
Step 2: Subtract 3 to both sides
y = 7 - 3
y = 4
[tex]\rule[225]{225}{2}[/tex]
The total area of a picture frame, including
the glass and 1.5-inch wide wooden frame, is
238 square inches. If the frame is 17 inches
tall, what are the dimensions of the maximum
picture size that will fit in the frame?
Answers
The dimensions of the picture size to fit in the frame are 14 inches by 11 inches.
How tall can the picture be?It is known the frame is 17 inches tall but this includes 1.5 inches of the wooden frame. This means that 3 inches of the frame (1.5 inches x 2) do not count for the size of the picture.
17 inches - 3 inches = 14 inches tall.How long can the picture be?We already know the picture can be 14 inches tall and the total area is 238 square inches including the 1.5 wooden frame.
Area = s x sS = Area / sS = 238 / 17 (height including frame)S= 14 inches (length including frame)14 inches - 3 inches = 11 inches.Learn more about inches in: https://brainly.com/question/17533009
Chrissy has some ribbon in her craft room. She has 3/8 yards of purple ribbon and 1 yard of green ribbon.
Chrissy has a total of 3 yards of ribbon.
How many yards of Chrissy's ribbon are neither purple nor green?
Answers
The number of Chrissy's ribbon which are neither purple nor green is 1 5/8 yards
How to calculate Chrissy's ribbon which are neither purple nor green?Purple ribbon = 3/8 yardsGreen ribbon = 1 yardTotal yards of ribbon = 3 yardsRibbon which is neither purple nor green = Total - (purple + green)
= 3 - (3/8 + 1)
= 3 - (1 3/8)
= 3 - 11/8
= (24-11) / 8
= 13/8
= 1 5/8 yards.
Learn more about fraction:
https://brainly.com/question/2929160
Each pair of shapes below are similar. Solve for each variable. Show all work necessary to justify your answer. 26 11 6 18 X = 21 a = 13 b 11 22
Answers
Answer:
x = 21
a= 22
b = 13
Step-by-step explanation:
18 / 6 = 3
3 * 7 =21
20 / 10 = 2
2 * 11 = 22
10 / 20 = 0.5
26 * 0.5 = 13
what should be subtracted from 8p + 5p to get 6a - 5b ?
Answers
Answer:
8p+5p
=13p
=6a-5b procesa
Skye plans to attend a 4-year public university. She will receive $4,300 in scholarships and grants each year, and she will earn $2,100 each year through a work study program.
Including her financial aid, what is Skye’s estimated cost per year? $
Skye’s family will contribute $7,000 each year. How much will Skye need to contribute? $
If Skye currently has $0 in savings, she will need to save $
each month.
If Skye currently has $1,000 in savings, she will need to save $
each month.
If Skye currently has $2,500 in savings, she will need to save $
each month
Answers
Answer:
1.95
Step-by-step explanation:
Determine the scale factor
LMNO Became HIJK
Answers
Answer:
2
Step-by-step explanation:
The scake factor is 2
Answer is 2
What is the mean of the numbers 2,6,7,2,2,9
Answers
Answer:
4.67
Step-by-step explanation:
You can get this by adding the numbers together and dividing them the numbers of numbers in data set, or like this
2+6+7+2+2+9=28 Then count how many numbers you added.
2.Divide 28 by how many numbers you counted.
#5
What is the value of x ? Round to one decimal place if
necessary. If your answer is correct you will see ar
image appear on your screen.
F
Submit
40°
50°
T
✓
D
X
E
Answers
Answer:
6
Step-by-step explanation:
because 5 is greater than 4
a 5 year lease for a office space states that the annual rent is 62,000 for the first year and will increase by 7% each additional year of the lease. what will the total rent expense (nearest cent) be for the entire 5 year lease?
PLSSS HELPPPPPP
Answers
Second year- 7% increased in rent= 66,340
Third year- 7% increased in rent (66,340)= 70,984
Fourth year- 7% increased in rent (70,984)= 75,953
Fifth year- 7% increased in rent (75,953)= 81,270.
Total 5 years lease- 356,547.
Find the perimeter.
Write your answer as a fraction or as a whole or mixed number.
3 am
1
18
N
zam
No
m
N
3
3
18
m
meters
Answers
Answer:
Hope this helps you
Step-by-step explanation:
Thank
A group of 7 friends each received 5/6 of a pound of candy. How much candy did they receive total?
Answers
Answer:
A group of seven friends each received one-half of a pound ofcandy. How much candy did they receive total?✓
0.5 pounds x 7= 3.5 poundsStep-by-step explanation:
Can anyone solve this correctly?
Answers
Answer:
432
Step-by-step explanation:
Length times width times height
Jack rides in a motorboat against a river current for 36 km. Then he returns to his starting point by floating down river on a raft. Tommy travels 9 hours less on the motorboat than on the raft. Find the speed of the river current if the speed of the motorboat in still water is 15 km/h.
Answers
Answer:
3 km/h
Step-by-step explanation:
You want to know the speed of the river current if floating 36 km downstream takes 9 h longer than the trip upstream in a boat with a speed relative to the current of 15 km/h.
TimeThe relation between time, speed, and distance is ...
time = distance / speed
If c represents the speed of the current, then 15-c is the speed upstream. The relation between the travel times is ...
36/(15 -c) = 36/c -9
SolutionMultiplying by c(15-c), we have ...
36c = 36(15 -c) -9(c)(15-c) . . . . . . . multiply by c(15-c)
36c = 540 -36c -135c +9c² . . . . . eliminate parentheses
9c² -207c +540 = 0 . . . . . . . collect terms
c² -23c +60 = 0 . . . . . . . . divide by 9
(c -20)(c -3) = 0 . . . . values that make the factors zero are c=20, c=3
The speed of the current is 3 km/h.
__
Additional comment
The speed of the current cannot be greater than 15 km/h, or the boat could not go upstream. The speed of the current cannot be greater than 4 km/h, or the trip downstream would take less than 9 hours.
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What value of x makes a true equivalent fraction statement. 3/x = 27/54
Answers
3/x=27/54
or,x×27=3×54
or,27x=162
or,x=162/27
or,x=6
Hope you will give me brainliest
What is the measure of each angle of a regular 19-gon? If necessary, round to the
nearest tenth.
Answers
[tex]\begin{array}{llll} \textit{sum of all interior}\\ \textit{angles in a regular polygon} \end{array}\\\\ n\theta = 180(n-2)~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=19 \end{cases}\implies 19\theta =180(19-2) \\\\\\ 19\theta =180(17)\implies 19\theta =3060\implies \theta =\cfrac{3060}{19}\implies \theta \approx 161.1^o[/tex]
The value of each angle for the given regular polygon is 161.05°.
What is a regular polygon?A regular polygon can be defined as a polygon having all of its sides and angles equal to one another. The expression for each angle of a regular polygon is 180(n - 2)/n.
Suppose each angle of the regular polygon be x.
Since the sum of all the interior angles of a regular polygon with n sides is given as 180(n - 2).
As per the given problem the number of sides n = 19.
Then, the following equation can be written as follows,
19x = 180(19 - 2)
=> 19x = 180 × 17
=> x = (180 × 17)/19
= 161.05
Hence, each angle of the given regular polygon with 19 sides is 161.05°.
To know more about regular polygon click on,
https://brainly.com/question/10885363
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Write an expression for the cost per person if five friends share the cost of a dinner equally.
Answers
Answer:
Let c=cost of dinner, 5=the # of people, and P=the cost of person
P=C/5
b. P = (1000)/5
P = 200
Step-by-step explanation:
Solve using a proportion.
Blake earns $60 a week mowing lawns. He
saves 30% of what he makes per week and
spends the rest on food. How much does
Blake spend each week on food?
word
Answers
well, we know that he makes $60 weekly, that'd be the 100%, we also know that he saves 30% of that and the rest, well, 100% - 30% = 70%, so 70% he spends it on food.
if we take 60 to be the 100%, what is 70% of it?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 60 & 100\\ x& 70 \end{array} \implies \cfrac{60}{x}=\cfrac{100}{70}\implies \cfrac{60}{x}=\cfrac{10}{7} \\\\\\ 420=10x\implies \cfrac{420}{10}=x\implies 42=x[/tex]
How do I right 62% as a decimal
Answers
Answer:
0.62
Step-by-step explanation:
=> 62% = 62/100
=> 62/100 = 0.62
35.99 divided by 15.6
Answers
Answer:
around 2.31
Step-by-step explanation:
because you will get 2.307 if you put it in a calculator then you can round it to 2.31
Which is true [x]>=x or [x]<=x ?
Answers
Answer:
[x] ≥ x
Step-by-step explanation:
The absolute value of a number is greater than or equal to itselfTherefore, the correct answer is :⇒ [x] ≥ xHi Mehta06 heres my question that i told you
Answers
Answer:
1. WEA and and TSE
2.WES
3.50
Step-by-step explanation:
the inscribed angles are AWE, AWS, EST
As W is the center, ES is the Diameter
arc AE = 180-AWS
= 180-100
=80 degrees
MARK ME AS BRAINLIST=
O FRACTIONS
Fraction multiplication
Multiply. Write your answer as a fraction in simplest form.
3 6
Х
4 5
OL
Х
?
Answers
Answer:
Perhaps 2/5, if I understand your question.
Step-by-step explanation:
i don't understand the format of your question:
"3 6
Х
4 5
OL
Х
?"
Is this meant to be (3/6)*(4/5) ??
If so:
(3/6)*(4/5) = (12/30)
(12/30) = 6/15
6/1`5 = 2/5
(PLS Need Help ASAP) Don't answer if you don't know pls.
Answers
Answer:
y = - x + - 2
Step-by-step explanation:
Using the equation y = mx + b, find the m (slope) from the graph and the b (y-intercept from the graph). The slope, m, is the rise over the run from point A to point B. The rise is -5 and the run is 5. [tex]\frac{-5}{5}[/tex] = -1. The y-intercept, b, is the point the graph passes through the y-axis. The b is -2 so y = -x+-2.
y=-x+-2
Step-by-step explanation:
Slope Intercept Form= Y=mX+b
with b as the slope and b as the y-intercept
also the graph has a negative slope
the slope is -x
the y-intercept is -2
An equation is shown.
3m • 3 = 3-2
What are the possible values for m and n?
Answers
Answer:
n=3m+5
n−2m=3
\hboxsubstitute3m+5forninthesecondequation:
3m+5−2m=3
m+5=3
m=3−5
m=−2
n=3m+5
n=3×(−2)+5
n=−6+5
n=−1
(m,n)=(−2,−1)
The answer is C.