(Kind of urgent!) Using the figure below, find the value of a. Enter your answer as a simplified radical or improper fraction (if necessary)
Answers
Answer:
15/4
Step-by-step explanation:
sin60 =z/15
z=15sin60 =(15√3)/2
cos30 =b/z
b = zcos30 = (15√3)/2 * √3/2 = 45/4
a = 15-b = 15-45/4 = 15/4
The value of a is 15/4
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
According to the given figure,
Here is a right triangle
Let, The hypotenuse = 15
perpendicular = z and base = 15 = a + b
⇒ sin60 = perpendicular/hypotenuse = z/15
⇒ z = 15sin60 = (15√3)/2
⇒ cos30 = base/hypotenuse = b/z
⇒ b = zcos30 = (15√3)/2 * √3/2 = 45/4
⇒ a + b = 15
Substitute the value of b in the above equation,
⇒ a = 15-b = 15-45/4 = 15/4
Hence, the value of a is 15/4.
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Related Questions
What is 3a to the power of 4 times a to the power of 2
Answers
Answer:ldk
Applying exponential property,
Comparing the base,
Step-by-step explanation:
A uniform 41.0 kg scaffold of length 6.6 m is supported by two light cables, as shown below. A 74.0 kg painter stands 1.0 m from the left end of the scaffold, and his painting equipment is 1.4 m from the right end. If the tension in the left cable is twice that in the right cable, find the tensions in the cables (in N) and the mass of the equipment (in kg). (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.)
Answers
Step-by-step explanation:
Let
[tex]m_p[/tex] = mass of the painter
[tex]m_s[/tex] = mass of the scaffold
[tex]m_e[/tex] = mass of the equipment
[tex]T[/tex] = tension in the cables
In order for this scaffold to remain in equilibrium, the net force and torque on it must be zero. The net force acting on the scaffold can be written as
[tex]3T = (m_p + m_s + m_e)g\:\:\:\:\:\:\:(1)[/tex]
Set this aside and let's look at the net torque on the scaffold. Assume the counterclockwise direction to be the positive direction for the rotation. The pivot point is chosen so that one of the unknown quantities is eliminated. Let's choose our pivot point to be the location of [tex]m_e[/tex]. The net torque on the scaffold is then
[tex]T(1.4\:\text{m}) + m_sg(1.9\:\text{m}) + m_pg(4.2\:\text{m}) - 2T(5.2\:\text{m}) = 0[/tex]
Solving for T,
[tex]9T = m_sg(1.9\:\text{m}) + m_pg(4.2\:\text{m})[/tex]
or
[tex]T = \frac{1}{9}[m_sg(1.9\:\text{m}) + m_pg(4.2\:\text{m})][/tex]
[tex]\:\:\:\:= 423.3\:\text{N}[/tex]
To solve for the the mass of the equipment [tex]m_e[/tex], use the value for T into Eqn(1):
[tex]m_e = \dfrac{3T - (m_p + m_s)g}{g} = 14.6\:\text{kg}[/tex]
A population of bacteria contains 80 bacteria in generation 1 and triples in
population every generation. This sequence represents the number of
bacteria for the first few generations:
80, 240, 720, ...
What is the explicit formula for the number of bacteria in generation n?
A. a(n) = 80 + (n - 1)3
B. a(n) = 3.801-1
C. a(n) = 3 + (n-1)80
D. a(n) = 80.30-1
Answers
Answer:
A
Step-by-step explanation:
Answer:a(n)=80•3n-1
Step-by-step explanation:
7. Ten samples of 15 parts each were taken from an ongoing process to establish a p-chart for control. a. Develop a p-Chart for 95 percent confidence (1.96 standard deviation). b. Based on the plotted data points, what comments can you make
Answers
Answer: Hello the table related to your question is attached below
answer:
a) attached below
b) The process is out of control because two ( 2 ) values from the defect rate table are out of the control limits at 95% as seen in the p-chart in question ( A )
Step-by-step explanation:
a) p-chart for 95% confidence
std = 1.96
Total defects = ∑ number of defective items in the sample = 10
number of samples = 10
sample size ( n ) = 15
The P value for the process is calculated as :
Total defects / ( number of sample * sample size )
= 10 / ( 15 * 10 ) = 10 / 150 = 0.067
standard deviation ( σ ) = [tex]\sqrt{\frac{p(1-p)}{n } } = \sqrt{\frac{0.067(1-0.067)}{15} }[/tex] = 0.065
next we determine the limits ( i.e. upper and lower )
UCL = p + zSp = 0.067 + 1.96(0.065 ) = 0.194
LCL = p - zSp = 0.067 - 1.96(0.065) = -0.060 ≈ 0 ( because LCL ≠ negative)
attached below is the required p-chart
b) The process is out of control because two ( 2 ) values from the defect rate table are out of the control limits at 95% as seen in the p-chart in question ( A )
Given that 3x-7y=-27 and 5x+9y=17. Find the values of x and y that satisfy both equations, using elimination method.
Answers
here's the answer to your question
solve for x
3x-7y=-27
5x+9y=17
multiply 9, 7
27x -63y =-243
35x +63y = 119
add and cancel y out
62x = -124
x = -2
plug in x
-6-7y=-27
-7y=-21
y = 3
answer:
y = 3
x = -2
commission received
Answers
Answer:
Commission Received refers to a percentage amount received by the company (or) an individual on the total sales incurred. It is an indirect income/revenue recorded on the credit side of profit and loss account.
Step-by-step explanation:
mark me brainliest if my answer is correct
Alice wants to estimate the percentage of people who plan
on voting yes for the upcoming school levy. She surveys
380 individuals and finds that 260 plan on voting yes.
Identify the values needed to calculate a confidence interval
at the 90% confidence level. Then find the confidence interval.
zo10 z0.05 zo.025 zo01 z0.005
1.282 1.645 1.960 2.326 2.576
Use the table of common z-scores above.
Answers
Answer:
"[tex]0.6450 < p < 0.723[/tex]" is the right solution.
Step-by-step explanation:
Given:
n = 380
x = 260
Point estimate,
[tex]\hat p = \frac{x}{n}[/tex]
[tex]=\frac{260}{380}[/tex]
[tex]=0.6842[/tex]
Critical value,
[tex]Zc = 1.645[/tex]
Standard error will be:
[tex]S.E = \sqrt{\frac{0.6842(1-0.6842)}{380} }[/tex]
[tex]=0.0238[/tex]
Margin of error will be:
[tex]E = Zc\times S.E[/tex]
[tex]=1.645\times 0.0238[/tex]
[tex]=0.0392[/tex]
hence,
Confidence level will be:
= [tex]\hat p \pm E[/tex]
= [tex]0.6842 \pm 0.0392[/tex]
= [tex]0.6450 < p < 0.723[/tex]
Determine whether the following individual events are independent or dependent. Then find the probability of the combined event.
Randomly drawing and immediately eating two red pieces of candy in a row from a bag that contains red pieces of candy out of pieces of candy total.
Answers
Answer:
Dependent event
[tex]P(Red = 2) = \frac{5}{588}[/tex]
Step-by-step explanation:
Given
[tex]Total = 49[/tex]
[tex]Red = 5[/tex]
Solving (a): Are the events dependent?
Yes, they are.
When the first red candy is selected and eaten, the total number of candies reduced to 48 and the number of red candies also reduced to 4.
So, the probability of selecting a 2nd candy is dependent on the first candy selected.
Solving (b): P(Red = 2)
This is calculated as:
[tex]P(Red = 2) = P(Red) * P(Red | Red)[/tex]
The first selection has the following probability:
[tex]P(Red) = \frac{Red}{Total}[/tex]
[tex]P(Red) = \frac{5}{49}[/tex]
The second selection has the following probability:
[tex]P(Red|Red) = \frac{Red - 1}{Total - 1}[/tex]
[tex]P(Red|Red) = \frac{5 - 1}{49 - 1}[/tex]
[tex]P(Red|Red) = \frac{4}{48}[/tex]
So, we have:
[tex]P(Red = 2) = P(Red) * P(Red | Red)[/tex]
[tex]P(Red = 2) = \frac{5}{49} * \frac{4}{48}[/tex]
Reduce fraction
[tex]P(Red = 2) = \frac{5}{49} * \frac{1}{12}[/tex]
Multiply
[tex]P(Red = 2) = \frac{5}{588}[/tex]
Một công ty sản xuất ván trượt có thể bán một cái ván trượt với giá $60.
Tổng chi phí cho sản xuất bao gồm chi phí cố định là $1200 và chi phí để sản xuất một cái ván trượt là $35.
Nếu công ty đó bán được 80 cái ván trượt thì công ty đó
Answers
graph a line with the slope of 1/4
Answers
Answer:
Used graphing calculator:
Slope .25
y-intercept: 0
x-intercept: 0
Step-by-step explanation:
Help anyone know this??
Answers
Answer:
plug n and r into the equation for the answers.
Step-by-step explanation:
An just finished taking statistics, and wants to do a survey on the average salary of Spring 2019 HCC graduates. She calculates that the standard error of the mean is $128.13 after she surveyed a group of students who reported an annual income of $43,650 and she knows the population standard deviation is $2,050, how many students were randomly sampled by An?
Answers
Answer:
The appropriate answer is "256".
Step-by-step explanation:
Given:
Standard error,
SE = 128.13
Standard deviation,
[tex]\sigma[/tex] = $2050
As we know,
⇒ [tex]SE = \frac{\sigma}{\sqrt{n} }[/tex]
or,
⇒ [tex]\sqrt{n}= \frac{\sigma}{SE}[/tex]
By substituting the values, we get
[tex]=\frac{2050}{128.13}[/tex]
[tex]=\frac{205000}{12813}[/tex]
[tex]n = (\frac{205000}{12813} )^2[/tex]
[tex]=255.98[/tex]
or,
[tex]=256[/tex]
What is the volume of the prism below?
19.80 cubic units
553.02 cubic units
84.17 cubic units
42.09 cubic units
Answers
The volume of prism is,
⇒ V = 42.09 cubic units
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Base = 5.12
height = 4.11
Lenght = 4
Now, We can formulate;
The value of volume of prism is,
⇒ V = 1/2 (b x h) l
⇒ V = 1/2 (5.12 x 4.11) 4
⇒ V = 42.09 cubic units
Thus, The volume of prism is,
⇒ V = 42.09 cubic units
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Find area and perimeter of shape but perimeter is not 96
Answers
Perimeter:
We have two straight, congruent sides from the square that are 24 cm, and two semi-circles (or one whole circle).
24 + 24 + 1/2(24pi) + 1/2(24pi)
48 + 12pi + 12pi
48 + 24pi cm
Area:
We have a semi-circle and a square that is missing a semi-circle. Let's find the area of the square minus the semi-circle, then add the additional semi-circle.
Square = 576
Missing semi-circle = 144pi / 2 = 72pi
Semi-circle = 144pi / 2 = 72pi
576 - 72pi + 72pi
576 cm^2
Hope this helps!
Determine whether the series is absolutely convergent, conditionally convergent, or divergent.
[infinity]Σ n =1 (-1)^n - 1/n√n
Answers
Answer: hello your question is poorly written attached below is the complete question
answer:
The series is absolutely convergent
Step-by-step explanation:
To determine whether the series is absolutely or conditionally convergent or divergent. apply the Root Test
The series is absolutely convergent
attached below is the solution
How to solve following question?
In an upcoming election, 15% of married voters will vote for Candidate A, while the rest will vote for Candidate B; 80% of unmarried voters will vote for Candidate A, while the rest will vote for Candidate B. Which of the following represents the lowest percentage from all voters combined (married and unmarried) that must be unmarried (not married) in order for Candidate A to win the election?
Answers
Answer:
The lowest percentage from all voters combined that must be unmarried in order for Candidate A to win the election is 53.85%.
Step-by-step explanation:
Proportion married:
x are married
1 - x are unmarried.
Will vote for candidate A:
15% of x
80% of 1 - x. So
[tex]0.15x + 0.8(1-x)[/tex]
Candidate A wins:
If his proportion is more than 50%, that is:
[tex]0.15x + 0.8(1-x) > 0.5[/tex]
[tex]0.15x+ 0.8 - 0.8x > 0.5[/tex]
[tex]-0.65x > -0.3[/tex]
[tex]0.65x < 0.3[/tex]
[tex]x < \frac{0.3}{0.65}[/tex]
[tex]x < 0.4615[/tex]
Highest percentage of married is 46.15%, so:
The lowest percentage of unmarried is:
100 - 46.15 = 53.85%.
The lowest percentage from all voters combined that must be unmarried in order for Candidate A to win the election is 53.85%.
help me out, so I can confirm my answers...:)
Answers
Answer:
Step-by-step explanation:
i) 18 - 2b = 5a
18 - 2b - 5a = 0
-2b -5a = -18
2b + 5a = 18
5a + 2b = 18
ii) 3a = 5b + 17
3a - 5b = 17
At this time x = 3, y = -5, c= 17
ax + by = c is equivelant to 3a -5b = 17
So another equation is:
3a - 5b = 17
Answer from Gauthmath
Step-by-step explanation:
18-2b=5a
we want to make 5a the subject so first we 5a to the left so our new equation is 5a+18-2b=0
then we move the 2b infront of the +18 so then our new equation is 5a+2b+18=0 then. we move the +18 to the other side to give 5a+2b=18
Use the graphing calculator to graph the function f(x) = Vx. Which table of values contains points that lie on the
graph of the function?
Answers
9514 1404 393
Answer:
see below
Step-by-step explanation:
Assuming your Vx means √x, the values in the f(x) column will be the square root of the values in the x column. That is the case for the first table shown (also attached).
The ratio of boys to girls in a high school is found to be three to five. If a class has 12boys, how many girls would you expect to be in the class?
Answers
Answer:
20 girls
Step-by-step explanation:
boys: girls
3 5
There are 12 boys
12/3 = 4
Multiply each side by 4
boys: girls
3*4 5*4
12 20
Answer:
20 girls
Step-by-step explanation:
Divide 12 by 3 : 12/3 = 4
Multiply 4 by 5 : 4*5 = 20
Question 6 a-c if plz show ALL STEPS like LITERALLY EVERYTHING
Answers
9514 1404 393
Answer:
a) quadrant III
b) 4π/3, -2π/3
c) (1/2, (√3)/2)
d) ((√3)/2, -1/2
Step-by-step explanation:
a) The attachment shows the point P and the numbering of the quadrants (in Roman numerals). Point P lies in quadrant III.
__
b) Measured counterclockwise, the angle to point P is 240° or 4π/3 radians. Measured clockwise, the angle is -120° or -2π/3 radians. In the diagram, these are shown in green and purple, respectively.
__
c) Adding π/2 to the angle 4π/3 or -2π/3 brings it to 11π/6, or -π/6. This point is marked as P' (blue) on the diagram. The coordinate transformation for π/2 radians CCW rotation is ...
(x, y) ⇒ (-y, x)
P(-1/2, -√3/2) ⇒ P'(√3/2, -1/2)
In terms of trig functions, the coordinates of the rotated point are ...
P'(cos(-π/6), sin(-π/6)) = P'(√3/2, -1/2)
__
d) Adding or subtracting π radians to/from the angle moves it directly opposite the origin. Both coordinates change sign. This point is P'' (red) on the diagram.
Which of the following behaviors would best describe someone who is listening and paying attention? a) Leaning toward the speaker O b) Interrupting the speaker to share their opinion c) Avoiding eye contact d) Asking questions to make sure they understand what's being said
Answers
Answer:
D
Step-by-step explanation:
If you ask questions while their speaking it shows that you are paying attention to them. Avoiding eye contact could mean your thinking about something else or you aren't interested. Interrupting them is just being disrespectful. Leaning towards them doesn't really do anything other than you moving.
An Internet company reported that its earnings will be less than the 24 cents per share that was predicted. Write an inequality showing the possible earnings per share.
Answers
Answer:
e < 24 is the inequality which shows the possible earnings per share.
Explanation:
x, will stand for the variable for earnings and less than, means it will not be higher nor the same as 24. Thus, being leaves us with one sign. The open part facing 24 means that 24 is the bigger number, therefore the smaller side represents that x has to be smaller than 24.
Answer: x<24
Step-by-step explanation:
x, will stand for the variable for earnings and less than means it will not be higher nor the same as 24. Thus being leaves us with one sign. The open part facing 24 means that 24 is the bigger number therefore the smaller side represents that x has to be smaller than 24.
Can I get help with this? Ez points
Answers
9514 1404 393
Answer:
(-1, -1), (-1, 5), (2, -1)
Step-by-step explanation:
All of the blanks are filled with -1. (see attached)
_____
The attachment also shows the solutions that maximize or minimize the value of z.
whats 5 + 5 i need help my iq is 1 i need help pls pls pls pls
Answers
Answer:
Here are some activities you can do to improve various areas of your intelligence, from reasoning and planning to problem-solving and more.
Memory activities. ...
Executive control activities. ...
Visuospatial reasoning activities. ...
Relational skills. ...
Musical instruments. ...
New languages. ...
Frequent reading. ...
Continued education.
how do you tell how many times greater is the 5 in 458,039 than the 5 in 271,145
Answers
Answer:
count the number of places it is. The 5 in 458,039 is in the 10,000 place and the 5 in 271,145 is in the ones place so the 5 in 458,039 is 10,000 times greater
the 5 in 45,039 has a value of 1,000 while the 5 in 271,145 has a value of 1 and 1,000/1=1,000
Find the absolute maximum and absolute minimum for f (x )equals x cubed minus 2 x squared minus 4 x plus 2 on the interval 0 less or equal than x less or equal than 3.
Answers
9514 1404 393
Answer:
maximum: 2minimum: -6Step-by-step explanation:
The extrema will be at the ends of the interval or at a critical point within the interval.
The derivative of the function is ...
f'(x) = 3x² -4x -4 = (x -2)(3x +2)
It is zero at x=-2/3 and at x=2. Only the latter critical point is in the interval. Since the leading coefficient of this cubic is positive, the right-most critical point is a local minimum. The coordinates of interest in this interval are ...
f(0) = 2
f(2) = ((2 -2)(2) -4)(2) +2 = -8 +2 = -6
f(3) = ((3 -2)(3) -4)(3) +2 = -3 +2 = -1
The absolute maximum on the interval is f(0) = 2.
The absolute minimum on the interval is f(2) = -6.
At the school carnival, Jade has a game booth with a spinner. The banner at her booth reads "80% chance of winning!" What is the chance that a player may not win?
20%
40%
50%
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
20%
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
The banner reads that there is an 80% chance of winning a prize.⸻⸻⸻⸻
[tex]100\% - 80\% = \boxed{20\%}[/tex]
⸻⸻⸻⸻
There is a 20% chance that the player would not win.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A park is 5 miles east of Roxana's home. A library is 4 miles north of the park. How far is Roxana's home from the library?
Answers
Answer: 9 miles I think but I dont know where her house is exactly.
Hi I need help this is a FOIL problem
Answers
Answer:
you should be able to find the mistake if you know FOIL well
Step-by-step explanation:
F: first digit in both binomials
O: outermost digits in both binomials
I: two most innermost digits
L: last two digits in both binomials
Will give brainliest answer
Answers
Answer:
14 hours
Step-by-step explanation:
Take any two consecutive high tides and to find their x coordinatey and sub them..
