Answers
Answer:
x = 18.4
y = 35º
Step-by-step explanation:
cos∅ = adj/hyp
cos49 = x/28
28cos49 = x
x = 18.4
tany = opp/adj
tany = 19/27
y = arctan19/27
y = 35º
Related Questions
Which of the following elements represents part of the whole? a. percentage b. base c. rate d. both a and b
Answers
Answer:
Percentage
Step-by-step explanation:
A population of crawfish in a section of the Louisiana bayou increased from 900,000 to 1.2 million between 2010 and 2011. If the population increases by the same percentage between 2011 and 2012, what will the population be in 2012
Answers
Answer: 1,599,960
Step-by-step explanation:
Since the population of crawfish in a section of the Louisiana bayou increased from 900,000 to 1.2 million between 2010 and 2011. The percentage increase in population will be:
= (1.2 million - 900000) / 900000 × 100
= 300000/900000 × 100
= 33.33%
Since the population increases by the same percentage between 2011 and 2012, then the population in 2012 will be:
= (100% + 33.33%) × 1.2 million
= 133.33% × 1.2 million
= 1.3333 × 1.2 million
= 1,599,960
The population in 2012 is 1,599,960
the question below in the file, which shows the number in order from greatest to least?
Answers
Answer:
c
Step-by-step explanation:
a and b start with negative numbers meaning it couldnt be the greatest, then d shoes a negative number second so that cant be it
What side has the same length as BC?
Answers
Answer:
DE
Step-by-step explanation:
You can tell by the markings. Since there are two vertical markings it concludes that those sides are the same length.
What is the common ratio of the geometric sequence 4, 16, 64, 256? * please help
Answers
Answer:
4
Step-by-step explanation: 16/4=4
Find the first term and the common ratio of the following geometric
sequence: 8, 16, 32, ...
a = 8, r = 2
a = 8, r = 8
a = 8, r = 4
a = 32, r= 1
Answers
Step-by-step explanation:
hope it helps you see the attachment for further information
How to put -2(-6x+3y-1) in distributive property
Answers
Answer:
12x - 6y + 2
Step-by-step explanation:
Mai is playing a game of chance in which she rolls a number cube with sides numbered from 1 to 6. The number cube is fair, so a side is rolled at random. This game is this: Mai rolls the number cube once. She wins $1 if a 1 is rolled, $2 if a 2 is rolled, $3 if a 3 is rolled, and $4 if a 4 is rolled. She loses $0.50 if a 4, 5, or 6 is rolled.
a) Find the expected value of playing the game.
b) What can Elsa expect in the long run, after playing the game many times?
1) Elsa can expect to gain money. She can expect to win___dollars per roll.
2) Elsa can expect to lose money She can expect to lose___dollars per roll.
3) Elsa can expect to break even (neither gain nor lose money).
Answers
Answer:
A. 0.75
B. Elsa can expect to gain 0.75 dollars
Step-by-step explanation:
We have six outcomes
Using the table in the attachment, the expected value was calculated.
Expected value = 0.166667+0.3333+0.5-0.083333-0.083333-0.083333
= 0.75
B. From the answer in part A , we can conclude that Elsa can expect to gain money. She can expect to win 0.75 dollars per roll.
How do the absolute values of - 12.5 and 11.5 compare? Choose a symbol to make the statement true.
Answers
Answer:
Step-by-step explanation:
11.5 is greater than -12.5
Answer: -12.5 is greater
-
Step-by-step explanation:
68 - 4 × (6 - 4)4
pls help the answer questions are
16 80 4 or -2
Answers
Help!!!!!!!!!!!!!!!!!
Answers
Answer:
the answer is one hundred and eight 108
Step-by-step explanation:
108 bro trust me
A cable 27 feet long runs from the top of a utility pole to a point on the ground 16 feet from the base of the pole. How tall is the utility pole?
Answers
Answer:
15^2+x^2=22^2
225+x^2=484
x^2=259
x=16.09 feet
Step-by-step explanation: 15^2+x^2=22^2
225+x^2=484
x^2=259
x=16.09 feet
marks)
9 (b). The first two terms of an arithmetic progression are shown.
р
5p
The sum of the first three terms is 90
Work out the value of p.
Answers
9514 1404 393
Answer:
p = 6
Step-by-step explanation:
The difference between the first two terms is ...
5p -p = 4p
Since this is an arithmetic sequence, the next term will be 4p more than the last term:
5p +4p = 9p
Then the sum of the first three terms is ...
p + 5p + 9p = 90
15p = 90 . . . . . . . . . . collect terms
p = 6 . . . . . . . . . . . . divide by 15
_____
The first three terms are 6, 30, 54.
Solve 7/w+4 =5/w+4-6/w
Answers
Answer:
w=-1+[tex]\sqrt{2}[/tex], w=-1-[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Please help finals killing me
Answers
Answer:
Solution given:
1.
L.h.s.
cscx+cotx
[tex] \frac{1}{cosx}+\frac{cosx}{sinx}[/tex]
[tex]\frac{1+cosx}{sinx}[/tex]
multiplying and dividing by (1-cosx)
[tex]\frac{(1+cosx)(1-cosx)}{sinx(1-cosx)}[/tex]
[tex]\frac{1-cos²x}{sinx(1-cosx)}[/tex]
we have
1-cos²x=sin²x
[tex]\frac{sin²x}{sinx(1-cosx)}[/tex]
[tex]\frac{sinx}{1-cosx}[/tex]
=R.h.s.
proved.
2.
l.h.s
[tex]\frac{tan y}{1-cot y}+\frac{cot y}{1-tany}[/tex]
[tex]\frac{\frac{sin y}{cos y}}{1-\frac{cos x}{siny}}+\frac{\frac{cos y}{sin y}}{1-\frac{siny}{cos y}}[/tex]
[tex]\frac{\frac{sin y}{cos y}}{\frac{siny -cos y}{siny}}+\frac{\frac{cos y}{sin y}}{\frac{cos y-siny}{cos y}}[/tex]
[tex]\frac{sin²y}{cos y(siny-cosy)}+\frac{cos ² y}{sin y(cos y-siny)}[/tex]
[tex]\frac{sin²y}{cos y(siny-cosy)}- \frac{cos ² y}{sin y(-cos y+siny)}[/tex]
[tex] \frac{sin³y -cos³y}{sinycosy(siny -cosy)}[/tex]
[tex] \frac{(sin y- cos y)(sin²y+sinycosy+cos²y)}{sinycosy(siny -cosy)}[/tex]
[tex] \frac{sin²y+cos²y +siny cosy}{sinxcosy}[/tex]
[tex] \frac{1+sinxcosy}{sinycosy}[/tex]
[tex]\frac{1}{sinycosy}+1[/tex]
1+cscysecy
R.h.s.
proved.
a. Find the slope of the line going through the points (-7, 7) and (3.-5).
Answers
Answer:
-1.2
Step-by-step explanation:
2.75 Cards are dealt, one at a time, from a standard 52-card deck. a If the first 2 cards are both spades, what is the probability that the next 3 cards are also spades
Answers
Answer:
The answer is "0.00842".
Step-by-step explanation:
Due to these cards, a conventional 52-card set is dealt one at a time.
While the first two cards are spades, then it would be expected that we could find the next three cards tents, too.
Let A draw 2 spade cards out of 52 cards. Let B become the occasion to draw 3 spade cards the remaining 50 end cards [tex](A \cap B)[/tex] was its case where a 52 card spade is chosen [tex](2+3)=5[/tex].
The number of plots drawn first from 13 regular 52-cerd decks equals number of,[tex]n(A)=\binom{13}{2}[/tex] probability of event [tex]A, PA =\frac{\binom{13}{2}}{\binom{52}{2}}[/tex]
Furthermore, the multitude of possibilities we can pull from of the remaining 11 spades of the previous 3 cards is 50-card decks standard, [tex]n (B) = \binom{11}{3}[/tex] then, the probability of event, [tex]B, P(B)=\frac{\binom{11}{3}}{\binom{50}{3}}[/tex]
The chances of five cards being drawn (three spades and two spades),
[tex]P(B \cap A)=\frac{\binom{13}{5}}{\binom{52}{5}}[/tex]
Then there is the chance that the next three cards will be picked if the first two are both pads, [tex]P(\frac{B}{A})[/tex]
[tex]\to P(\frac{B}{A}) \\\\ =\frac{P(B\cap A )}{P(A)}\\\\=\frac{\frac{\frac{13}{5}}{\frac{52}{2}}}{\frac{\frac{13}{2}}{\frac{52}{2}}}\\\\= 0.00842[/tex]
Evaluate this expression
4cd
if
C = -4 and d = 3
Answers
Answer:
-48
Step-by-step explanation:
4(-4)(3)
-16(3)
-48
Answer:
4(-4) (3)
Step-by-step explanation:
put that in your calccalculator:)
The square below has area 100. Find the area of the shaded region.
Answers
Answer:
21.46
Step-by-step explanation:
Start with the square
[tex]A = a^{2} \\100 = a^{2}\\10 = a[/tex]
Each side of the square is 10
This also means the diameter of the circle is 10, with a radius of 5
[tex]A = \pi r^{2} \\A = \pi 5^{2} \\A = 78.54[/tex]
Now substract the area of the circle from the square
x = 100 - 78.54
can you help me with this one
Answers
Answer:
q = 3m
Step-by-step explanation:
We know that segment HF is half of IJ, therefore we can say;
IJ / 2 = HF or q
6 / 2 = HF or q
3 = HF or q
Hope this helps!
In the figure, AB is divided into equal parts. The coordinates of point A are (2, 4), and the coordinates of point Bare (10,6). Match each pair
of coordinates to the corresponding point on AB
(4,4,5)
D
(4,4.75)
E
(9,5.75)
H
(8,5.75)
(8,5.5)
(5,4.75)
(7,5.25)
Answers
Answer: D = 4, 4.5
E = 5, 4.75
H = 8, 5.5
I = 9, 5.75
Step-by-step explanation:Gang
The coordinates of the corresponding points are given below.
C ⇒ (3, 4.25)
D ⇒ (4, 4.50)
E ⇒ (5, 4.75)
F ⇒ (6, 5)
G ⇒ (7, 5.25)
H ⇒ (8, 5.50)
I ⇒ (9, 5.75)
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is the m:n ratio, finding the mid-point of the line, etc.
AB is separated into equal sections in the picture. Point A's coordinates are (2, 4), and Point Bare's coordinates are (10,6).
There are eight sections of line AB. Then the rise in abscissa after each segment is calculated as,
⇒ (10 - 2) / 8
⇒ 8 / 8
⇒ 1
Then the rise in ordinate after each segment is calculated as,
⇒ (6 - 4) / 8
⇒ 2 / 8
⇒ 0.25
Then the coordinate of the points is written as,
C ⇒ (3, 4.25)
D ⇒ (4, 4.50)
E ⇒ (5, 4.75)
F ⇒ (6, 5)
G ⇒ (7, 5.25)
H ⇒ (8, 5.50)
I ⇒ (9, 5.75)
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
#SPJ7
25 POINTS NEED HELP QUICKLY:
Choose the system of inequalities that best matches the graph below.
A.
B.
C.
D.
Answers
Answer: D y>2x-1
y<1/3x+1
Step-by-step explanation: I took the test and got it right
The points (0, 0) and (6/5, 7/5) are solutions to the system of inequalities D y>2x-1 and y<1/3x+1 which is correct options (D).
What is inequality?Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Given the system of inequalities as
y>2x-1 and y<1/3x+1.
To determine the solutions, you first have to graph both of the lines in the problem.
y = 2x-1 and y = 1/3x+1. Then, to shift them to inequality, you have to shade the half-plane that they represent.
The solution is the space that they have in common. In this case, it will be on the right side of the graph.
The points (0, 0) and (6/5, 7/5) are included in the shaded region they have in common.
Hence, the points (0, 0) and (6/5, 7/5) are solutions to the system of inequalities y>2x-1 and y<1/3x+1.
Learn more about inequalities here:
brainly.com/question/20383699
#SPJ2
The Briarwood Middle School Chess club has 75 members. Of those members, 15 are 7th graders. What percent of the chess club members are not 7th graders?
(Proportional Reasoning)....
I would really appreciate, if you answered.
Answers
Answer:80
Step-by-step explanation: I am not 100% sure this is right but what i did was 75 - 15 =60, 60/75 in percentage is 80%
Corrie is 5 inches taller than Jason who is 4 ft. 9 in. Jennifer is
8 in shorter than Corrie. How tall are Corrie and Jennifer?
(Express answers in simplest terms.)
Corrie_______.
Jennifer_______.
Answers
Answer:
Corrie = 5 ft. 2 in.
Jennifer = 4 ft. 6 in.
Step-by-step explanation:
If you convert Jason's height to inches then it would be 57 in.
4 x 12 = 48 in. 48 + 9 = 57 in.
To find Corrie's height you just have to add 5 inches to Jason's height.
57 + 5 = 62 in.
And to find Jennifer's height you just subtract 8 inches from Corrie's height.
62 - 8 = 54 in.
Now all you need to do is convert Corrie and Jennifer's height into feet. You have to divide Corrie and Jennifer's height by 12 inches. And if there are leftover or remaining numbers once you divide, they are just inches that you add on after the feet.
Jennifer's height = 54 / 12 = 4 feet and 6 inches are left over.
Corrie's height = 62 / 12 = 5 feet and 2 inches are left over.
og ready.com/student/dashboard/home
A bicycle tire is 28 inches in diameter. Approximately how far does the bicycle mo
each time the wheel goes around? (Use as an approximation for 7.)
88 inches
64 inches
44 inches
56 inches
Answers
Answer:
88 in
Step-by-step explanation:
we have to find the circumference of the circle which is ;
C = pie d
= 22/7 x 28
= 88 in
Hi plz help, if you can ill mark you 5 starz! :)
Answers
Answer:
The answers are B, D, and E
Step-by-step explanation:
Answer:
I think B, D, E! Sorry if it's wrong!
Step-by-step explanation:
Only ones that fits the plot!
D
Find mZW.
X
WK (11x - 29)
Z
(6x + 5)
mZW
Answers
Answer:
m<W = 103°
Step-by-step explanation:
First, find the value of x
m<W + m<Y = 180° (opposite angles in a cyclic quadrilateral are supplementary)
11x - 29 + 6x + 5 = 180 (substitution)
Add like terms
17x - 24 = 180
Add 24 to both sides
17x = 180 + 24
17x = 204
Divide both sides by 17
17x/17 = 204/17
x = 12
Find m<W:
m<W = 11x - 29
Plug in the value of x
m<W = 11(12) - 29 = 132 - 29
m<W = 103°
What combination of translation is shown below?
Answers
reflection, then translation
The kinetics of some phase transformations obey the Avrami relationship. Using the fraction transformed-time data given below, determine the total time required for the transformation to go to 92% completion. Fraction transformed Time (s) 0.2 12.6 0.7 25.7 Enter your answer in accordance to the question statement s
Answers
Solution :
Avrami relationship
[tex]$1-y=exp(-kt^n)$[/tex]
[tex]$\ln(1-y)=-kt^n$[/tex]
[tex]$-\ln(1-y)=kt^n$[/tex]
[tex]$\ln\left[\ln\left(\frac{1}{1-y}\right)\right]=\ln k + n \ln t$[/tex]
The fraction transformed is 0.2 at 12.6 s,
[tex]$\ln\left[\ln\left(\frac{1}{1-0.2}\right)\right]=\ln k + n \ln (12.6)$[/tex]
[tex]$-1.5 = \ln k + 2.533 n$[/tex] .........(i)
The fraction transformed is 0.7 at 25.7 s,
[tex]$\ln\left[\ln\left(\frac{1}{1-0.7}\right)\right]=\ln k + n \ln (25.7)$[/tex]
[tex]$0.5 = \ln k + 3.24 n$[/tex] ..............(ii)
Subtract (ii) from (i),
-2 = -0.71 n
n = 2.81
Therefore, from (i),
[tex]$-1.5 = \ln k + 2.533 (2.81)$[/tex]
k = 0.000181
Now if the fraction transformed is 0.92, then
[tex]$kt^n=-\ln (1-y)$[/tex]
[tex]$t=\left[\frac{-\ln (1-y)}{k}\right]^{\frac{1}{n}}$[/tex]
[tex]$t=\left[\frac{-\ln (1-0.92)}{0.000181}\right]^{\frac{1}{2.81}}$[/tex]
t = 29.8528 s
Use the square root property to solve for x in the following equation (x-3)^2-10=15
Answers
(x – 3)² – 10 = 15
↓
[tex] {x}^{2} - 6x + 9 - 10 = 15[/tex]
[tex] {x}^{2} - 6x - 1 = 15[/tex]
[tex] {x}^{2} - 6x - 15 = 0[/tex]
[tex] {x}^{2} + 2x - 8x - 1 - 15 = 0[/tex]
[tex] {x}^{2} + 2x - 8x - 16 = 0[/tex]
[tex]x \times (x + 2) - 8x - 16 = 0[/tex]
[tex]x \times (x + 2) - 8(x + 2) = 0[/tex]
[tex](x + 2) \times (x - 8) = 0[/tex]
[tex]x + 2 = 0[/tex]
[tex]x - 8 = 0[/tex]
so,
[tex]x1 = - 2[/tex]
[tex]x2 = 8[/tex]