Answer:
B=34.2
C=105.8
c=12.0
Step-by-step explanation:
find B using the sine rule
(sin40÷8)=(sinB÷7)
rearrange
sin B= (sin40x7)÷8
sin B=0.562
make sure to use your calculator
then press shift sin to find B
B= 34.2°
to the nearest tenth means to 1 decimal place
sum of angles in a triangle is 180
so 180-(40+34.2)=105.8°=C
use sine rule again to find c
(sin105.8÷c)=(sin40÷8)
rearrange
c= (sin 105.8x8)÷sin40
c=12.0
Consider the following heights 1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85. Use R script to finish the following questions
(1) Assign all these heights as vector "height".
(2) Compute the mean and sd of "height".
(3) What is the length of "height"?
(4) How many heights are less than 1.65?
(5) Show if each height is larger than 1.60 and smaller than 1.75.
Answer:
1.718333
0.114957
12
1 3 5 7
Step-by-step explanation:
Given the following height values :
Height values : 1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85
1.) Assign all height values to a vector height :
R code:
height - - -> c(1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85)
2.) To compute the mean and standard deviation of "height"
R code for mean height:
mean(height)
R code for height standard deviation :
sd(height)
3.) The length of "height" ; This gives the number of data values in the vector variable "height"
R_code for length:
length(height)
4.) Number of heights less than 1.65
R_code :
which(height < 1.65)
Gives the index values where height values is less than 1.65
5.) Show if each height is larger than 1.6 and less Than 1.75
R_code :
1.6 < height < 1.75
what is 4 divided by 8464
Answer:
4 divided by 8464 equals 0.00047258979
8464 divided by 4 equals 2,226
Step-by-step explanation:
May I have brainiest I'm trying to level up!
</3 PureBeauty
(help me it is not much)
Which form of a linear equation should we use when given the y-intercept and the slope of
the line?
Point-Slope form
Slope-intercept form
Standard form?
Answer:
Slope Intercept Form
Step-by-step explanation:
its the basics
The graph of a proportional relationship contains the point (4, 20). What is the constant of proportionality?
Enter your answer in the box.
9514 1404 393
Answer:
5
Step-by-step explanation:
A proportional relationship has the equation ...
y = kx . . . . . . where k is the constant of proportionality
Solving this equation for k, we get ...
k = y/x
Filling in the given values (x, y) = (4, 20) gives ...
k = 20/4
k = 5
The constant of proportionality is 5.
Answer:
The answer is 1/5 = 0.2
Step-by-step explanation:
What is the value of a2 + 36 2c when a = 3, b = 8, and c = 2?
Answer: 21 +4c
Step-by-step explanation:
Answer:
what is in between 36 and 2c?
Determine the value of y.
Question 9 options:
A) 45°
B) 27°
C) 24°
D) 135°
Answer:135
Step-by-step explanation:all you have to do is to multiply 45 2 times and you will get the answer
Since y is 27, the value of angle 5y will be 135°.
What are supplementary angles?Supplementary angles are those angles that sum up to 180 degrees.
Given 5y and 45° angles are supplimentry angles
Two angles are called supplementary when their measures add up to 180 degrees.
Thus,
5y + 45 = 180
5y = 135
y = 27°
therefore, the value of angle 5y will be 135° since y is 27.
Learn more about Supplementary angles here:
https://brainly.com/question/13045673
#SPJ2
Dont really know this. Anyone wanna help.
Answer:
25 degrees
Step-by-step explanation:
angle CAD is a right angle, which is 90 degrees, and angle CAF is a straight line (180 degrees), which makes angle DAF a right angle. It is given that angle EAF is 65 degrees, therefore,
90 degrees - 65 degrees = 25 degrees
The elevation at ground level is 0 feet. An elevator starts 90 feet below ground level. After traveling for 15 seconds, the elevator is 20 feet below ground level. Which statement describes
the elevator's rate of change in elevation during this 15-second interval?
Answer:
elevator travel 4.5 feet per second
Answer: A
Step-by-step explanation:
the answer is A
A classroom contains 33 students. In the classroom, 6 students wear red shirts, 11 wear white shirts, 8 wear black shirts, and the remaining 8 students wear blue shirts. Mrs. Kulkarni randomly chooses a student to clean the whiteboard. Determine the probability that Mrs. Kulkarni selects a student wearing a red shirt. Enter your answer in the box.
Answer:
She picked white because the board is white
Answer:
24.24... percent chance
Step-by-step explanation:
Because 6/33 is 24 percent and 6 is the amount of red shirts
Over the holiday break, Ms. Horton baked a ham that was 19 1/4 pounds.
By the end of the night there was 6 7/10 pounds left. How much turkey was
eaten that night?
Answer:
12 11/20
Step-by-step explanation:
the answer to the question is 12 11/20
Tukey HSD Interpretation
Criterion: Interpret Tukey HSD results from SPSS output.
Data: Use your output from Problem Set 4.6.
Instructions: Identify where significant differences exist at the .05 level between the stress levels.
Answer:
The solution can be defined as follows:
Step-by-step explanation:
They also have a significant outcome in our instance. Its value of F is 1.773, with such a p-value of 0.212 achieved meaning (which is greater than the .05 alpha level). It means that the press with different levels of stress of the stress variable may not differentiate objectively.
Even so, we still do not know which one of the multiple mechanisms is significant. They realize the diff. To do just that, the results of the Tukey HSD test should be regarded.
HSD Tukey
Looking at the Multiple Correlations table below, you will see that mean values were created for the standard deviation among pairs of various stress varying concentrations (High - Low; High - Medium )
This can be seen on one-way ANOVA(1.773, p=.212), there's no statistically significant difference between the groups. A Tukey post hoc study has observed that the increase among medium and high stress is statistically significant, as well as the difference among low, medium, and high stress is important.
The following statement is a good definition of...
Answer:
It is not converse since converse is if q, then p in a conditional statement. So I will say that is a truth table
Please help asap
The sales tax rate is 10%. If Carla buys a handbag priced at $90, how much tax will she
pay?
Answer: $9
Step-by-step explanation:
10 percent of 9 or 90 broken into 10 parts is 9 also 90 divided by 10 is 9
What is 2/3-5/9 in 5th grade math
Answer:
0.111111
Step-by-step explanation:
Answer:
Step-by-step explanation:
Solution
=2×3/3×3-5×1/9×1
=6/9-5/9
=6-5/9
=1/9
Please mark me brainliest.Ok
Write as a product - 12a+12
DONT ANSWER QUESTION IF U DONT KNOW
Answer:
24a no>?
Step-by-step explanation:
- 5x2 + 2x + 9= 0
factorize
Answer:
Please check the explanation.
Step-by-step explanation:
Given the quadratic equation
5x²−2x−9 = 0
To factor the quadratic function 5x²−2x−9, we should solve the corresponding quadratic equation 5x²−2x−9 = 0.
Indeed, if x₁ and x₂ are the roots of the quadratic equation ax²+bx+c=0, then
ax²+bx+c = a(x-x₁)(x-x₂)
Now,
solving the quadratic function 5x²−2x−9 = 0
[tex]-5x^2+2x+9=0[/tex]
subtract 9 from both sides
[tex]-5x^2+2x+9-9=0-9[/tex]
Simplify
[tex]-5x^2+2x=-9[/tex]
Divide both sides by -5
[tex]\frac{-5x^2+2x}{-5}=\frac{-9}{-5}[/tex]
[tex]x^2-\frac{2x}{5}=\frac{9}{5}[/tex]
Add (-1/5)² to both sides
[tex]x^2-\frac{2x}{5}+\left(-\frac{1}{5}\right)^2=\frac{9}{5}+\left(-\frac{1}{5}\right)^2[/tex]
[tex]x^2-\frac{2x}{5}+\left(-\frac{1}{5}\right)^2=\frac{46}{25}[/tex]
[tex]\left(x-\frac{1}{5}\right)^2=\frac{46}{25} \\[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
so solving
[tex]x-\frac{1}{5}=\sqrt{\frac{46}{25}}[/tex]
[tex]x-\frac{1}{5}=\frac{\sqrt{46}}{\sqrt{25}}[/tex]
Add 1/5 to both sides
[tex]x-\frac{1}{5}+\frac{1}{5}=\frac{\sqrt{46}}{5}+\frac{1}{5}[/tex]
[tex]x=\frac{\sqrt{46}+1}{5}[/tex]
similarly solving
[tex]x-\frac{1}{5}=-\sqrt{\frac{46}{25}}[/tex]
[tex]x-\frac{1}{5}=-\frac{\sqrt{46}}{5}[/tex]
Add 1/5 to both sides
[tex]x-\frac{1}{5}+\frac{1}{5}=-\frac{\sqrt{46}}{5}+\frac{1}{5}[/tex]
[tex]x=\frac{-\sqrt{46}+1}{5}[/tex]
Thus, the roots are:
[tex]x_{1} =\frac{\sqrt{46}+1}{5},\:x_{2}=\frac{-\sqrt{46}+1}{5}[/tex]
Conclusion:
Since the roots are irrational, we do not factor further.
Therefore, we leave 5x²−2x−9 as it is.
The writers for a TV show have determined that they need to add a new character. One demographic wants the new character to be a man, or someone who can do martial arts. Another demographic wants the new character to be a woman, or someone who is a medical doctor. The writers want to please both demographics. Therefore, the new character will be someone who can do martial arts or is a medical doctor.
Which rule of inference was used here?
A. Conjunction
B. Resolution
C. Modus Ponens
D. Disjunctive Syllogism
E. Hypothetical Syllogism
F. Addition
G. Modus Tollens
H. Simplification
Answer: Resolution
Step-by-step explanation:
The rule of inference that was used here is Resolution. We should note that the resolution principle is used to know whether an argument is valid or not and hence make conclusion.
Resolution typically complements the sentences given such that the new clause has every information given and satisfies everyone.
We can see that from the question, one demographic wants the new character to be a man, or someone who can do martial arts while the other demographic wants a woman,or a medical doctor. Eventually, the writers want to please both demographics and said that the new character will be a martial artsmist or a medical doctor.
You are doing research on balance and fitness. To complete this research you will need a watch with a second hand. Identify a random sample of n = 12 men and n = 8 women. You must answer this question: How do you establish that this sample is truly random?
Answer:
Step-by-step explanation:
In order to establish that the sample is truly random you need to obtain two main factors. First, is making sure that the random sample of both groups chosen (men and women) are equal in proportion to the overall population. Meaning both groups must be the same percentage of the overall population of the same gender. The second factor that you need to make sure of is that all chosen individual's had the exact same probability of being chosen from the population and no external factor influenced the probability of them being chosen for the study.
List the angles from least to greatest! URGENT
(BETTER IMAGE)
Answer: Y<W<Z? Im not exactly sure but it looks right to me. Correct me if im wrong though.
Step-by-step explanation:
Answer:
W<Y<Z
Step-by-step explanation:
the side WZ is longer than side ZY, so the angle W is smaller.
My car gets 34 miles per gallon at 60 miles per hour. Is the number of miles I can drive at 60 miles per hour a linear function of the number of gallons of gas in the tank?
Answer: Yes,
Step-by-step explanation: If you have less than 60 miles in your gas tank it will not last 1 hour.
The quotient of dividing a number by 4 is 5. Find the number.
Answer: 20
Step-by-step explanation:
A quotient is th value that is gotten when two numbers are divided. Based on the information given in the question, let the number be represented by x.
Therefore, x/4 = 5
x = 4 × 5
x = 20
The number is 20
Please I really need help on this one
Answer:
2.5ft
Step-by-step explanation:
d=2r
r=1/2d
r=1/2*5ft=2.5 ft
It takes Ty 4 hours 30 minutes to read his favorite book, reading at a constant rate of 100 pages
every 50 minutes. How many pages are in Ty's favorite book?
Answer:
540 pages
Step-by-step explanation:
100 pages = 50 mins
??? pages = 270 mins (converted 4hrs 30 mins to minutes)
Now you could cross multiply to find what the number of pages are:
100 pages x 270 mins = 50 mins x ??? pages
27000 = 50 mins x ??? pages
27000/50 = ??? pages
540 = ??? pages
So there are 540 pages in his favourite book.
Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.
x+y = 6
x - y = 0
I’ve been stuck for almost a hour pls help . if not it’s cool
Can anyone please help me please
Answer:
this isnt spanish
Step-by-step explanation:
You would like to buy new carpet for a room. The room us rectangular. The dimensions are 12 1/3 feet by 10 3/4 feet. How many square feet of carpet do you need?
Which explains why the graph is not a function?
5
4
3-
2+
O It is not a function because the points are not
connected to each other.
O It is not a function because the points are not related
by a single equation
It is not a function because there are two different x-
values for a single y-value.
O It is not a function because there are two different y-
values for a single x-value.
1 +
-5 -4 -3 -2 -11
1
2 3 4 5
X
-2
+
.
-3
-4
-5
Answer:
We conclude that it is not a function because there are two different y-values for a single x-value.
Hence, option D is true.
Step-by-step explanation:
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
From the graph, we can determine the table such as:
x y
-2 -5
-1 3
1 -2
3 0
4 4
4 -2
It is clear that the values of x = 4, is repeated twice.
In other words, the input value x = 4 is duplicated.
We know that we can not have duplicated inputs as there should be only 1 output for each input.
Therefore, we conclude that it is not a function because there are two different y-values for a single x-value.
Hence, option D is true.
d=7/2cm. The radius is ____ cm.
Answer:
r = 7/4
Step-by-step explanation:
Radius is always 1/2 of the diameter.
What is 86 + (-32) ?
Answer:
54
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
Adding a negative number is the same thing as subtracting a positive number, so 86 + (-32) is the same thing as 86 - 32, which is 54.
Using a computer or calculator that provides proportions falling below a specified z-score, determine the approximate proportion for each of the following situations. In each case, assume the values are approximately bell-shaped. (Round your proportions to four decimal places.) A button hyperlink to the SALT program that reads: Use SALT. (a) The proportion of SAT scores falling below 420 for a group with a mean of 500 and a standard deviation of 100. -0.8 Correct: Your answer is correct. (z-score) (approximate proportion)
Answer: uhhhh what
Step-by-step explanation: