Answer:
[tex]\fbox{\begin{minipage}{5em}13. 0.830\\14. 0.800\\15. 0.391\\16. 0.750\end{minipage}}[/tex]
Step-by-step explanation:
A right triangle with 3 sides: adjacent side, opposite side and hypotenuse (as shown in attached picture)
According to the trigonometric properties:
[tex]sin(theta) = \frac{opposite}{hypotenuse}[/tex]
[tex]cos(theta) = \frac{adjacent}{hypotenuse}[/tex]
[tex]tan(theta) = \frac{opposite}{adjacent}[/tex]
[tex](adjacent)^{2} + (opposite)^{2} = (hypotenuse)^{2}[/tex]
[tex](adjacent)^{2} = (hypotenuse)^{2} - (opposite)^{2}[/tex]
[tex](opposite)^{2} = (hypotenuse)^{2} - (adjacent)^{2}[/tex]
Use the above formulas with corresponding sides:
[tex]13) cos(theta) = \frac{9}{3\sqrt{13} } = 0.83[/tex]
[tex]14) sin(theta) = \frac{\sqrt{5^{2}-3^{2} } }{5} = \frac{4}{5} = 0.8[/tex]
[tex]15) sin(theta) = \frac{9}{\sqrt{(8\sqrt{7}) ^{2} + 9^{2} } } = 0.391[/tex]
[tex]16) tan(theta) = \frac{3}{4} = 0.75[/tex]
Hope this helps!
:)
RuRodolfo has 15 toys in the toy box and he had to new toys everyone based on this information which representation that shows the relationship between the number of toys
QUESTION; Rudolfo has 15 toys in his toy box, and he adds 2 new toys every month. Based on this information, which representation best shows this relationship between the number of toys Rodolfo has in his toy box, y, and the number of months that have passes, x?
Answer:
Hello dear, your question is not complete (because you did not input the representations) but not to worry the representation can be found in the attached picture.
Thus , option C(third representation) is the correct answer.
Step-by-step explanation:
NB: kindly check attached file/picture for the pictures showing the representation in the question above.
From the question above we are given the following parameters or information or data;
=> RuRodolfo has 15 toys in the toy box and he had two new toys every month.
=> "The representation that best shows te relationship between the number of toys Rodolfo has in his toy box, y, and the number of months that have passes, x" will be option C because;
2 × 15 = 30. Therefore, RuRodolfo has 30 toys are the end of the month.
Answer:
B
Step-by-step explanation:
(6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)=
Answer:
Step-by-step explanation:
6m^5-2m^3-m^3-4m+4m+3-6
7m^5-3m^3-3
Answer:
[tex]7m^5-3m^3-3[/tex]
Step-by-step explanation:
[tex](6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)= \\\\(6m^5+m^5)+(-m^3-2m^3)+(-4m+4m)+3-6= \\\\7m^5-3m^3-3[/tex]
Hope this helps!
Find the y-intercept of the following equation. Simplify your answer.
y = –3x − 1
y-intercept =
Answer:
[tex]y = - 1[/tex]
Step-by-step explanation:
on the y- intercept the value of x is zero
IT'S URGENT, Help Me ASAP! PLEASEEEE
1) Write two linear inequalities
2) Draw and shade the graph
3) List two possible combinations of halls that can be rented for the workshops.
Answer:
1)
40x + 70y ≤ 280 (red on the graph)
100x + 120y ≤ 1200 (blue on the graph)
2) see attachment
3) x=5, y=1
40*5 + 70*1 ≤ 280. 270 ≤280
x=3, y=2
40*3 + 70*2≤280, 260 ≤ 280
What is the circumference and area of a circle in which the diameter of the circle is 16 feet
Answer:
The circumference is 50.27 and the area is 201.06 I rounded up to the nearest hundredths. And I used actually pi not just 3.14, here it is in the terms of using 3.14 circumference is 50.24 no rounding and area is 200.96 and no rounding, I hope this helps
Step-by-step explanation:
What is the area, in yards, of
a box thats 38 feet wide by
15 feet
long?
Answer:
570
step-by-step explanation:
assuming you're talking about a 2-dimensional rectangle,
Area = base x height
base = 38
width = 15
Area = 38 * 15
Area = 570 ft
570ft * (1 yard/3ft) = 190 yards
Answer:
190 yards
Step-by-step explanation:
area= length*width
area= 15*38
area= 570 feet
feet/3= yards
570/3= 190 yards
hope this helps!
Convert the angle radians to degrees
Answer:
160 degrees
Step-by-step explanation:
To change from radians to degrees, multiply by 180 / pi
8 pi/9 * 180/pi
160 degrees
27 131 Marks
Altogether, I have 10 bags of sweets.
The mean number of sweets in the bags is 42.
The table shows how many sweets there are in 9 of the bags.
Number of sweets
in a bag
Frequency
39 1
40 2
41 5
42 0
43 1
How many sweets are in the 10th bag?
Answer:
The number of sweets in the 10th bag is 53
Step-by-step explanation:
Given
Let the Number of sweets in a bag be represented by x and frequency be represented by f
The table is as follows
x F
39 1
40 2
41 5
42 0
43 1
Mean = 42
Required
How many sweets are in the 10th bag?
Represent the number of sweets in the 10th bag by y;
The table becomes
x F
39 1
40 2
41 5
42 0
43 1
y 1
The mean of observation is calculated using the following formula;
Mean = ∑fx/∑f
Where ∑ means summation
fx means f * x; i.e. product of frequency and number of sweets
f represents frequency;
Calculating ∑fx
∑fx = 39 * 1 + 40 * 2 + 41 * 5 + 42 * 0 + 43 * 1 + y * 1
∑fx = 39 + 80+ 205 + 0 + 43 + y
∑fx = 367 + y
Calcuating ∑f
∑f = 1 + 2 + 5 + 0 + 1 + 1
∑f = 10
Recall that
Mean = ∑fx/∑f and Mean = 42;
So, Mean = ∑fx/∑f becomes
[tex]42 = \frac{367 + y}{10}[/tex]
Multiply both sides by 10
[tex]42 * 10 = \frac{367 + y}{10} * 10[/tex]
[tex]420 = 367 + y[/tex]
Subtract 367 from both sides
[tex]420 - 367= 367 -367 + y[/tex]
[tex]53 = y[/tex]
[tex]y = 53[/tex]
Hence, the number of sweets in the 10th bag is 53
The total number of sweets in the 10th bag is 53 and this can be determined by using the formula of the mean.
Given :
The total number of bags is 10.The mean number of sweets in the bags is 42.The table shows how many sweets there are in 9 of the bags.The following steps can be used in order to determine the total number of sweets in the 10th bag:
Step 1 - The formula of the mean can be used in order to determine the total number of sweets in the 10th bag.
Step 2 - The formula of mean is given below:
[tex]{\rm Mean}= \dfrac{\sum f \times x}{\sum f}[/tex]
Step 3 - Now, substitute the values of the known terms from the given table in the above expression.
[tex]{\rm Mean}= \dfrac{39 \times 1+40 \times 2+41 \times 5+42 \times 0+43 \times 1+y \times 1}{1+2+5+0+1+1}[/tex]
Step 4 - Simplify the above expression.
[tex]\begin{aligned}\\42&= \dfrac{367+y }{10}\\y &=53 \\\end{aligned}[/tex]
So, the total number of sweets in the 10th bag is 53.
For more information, refer to the link given below:
https://brainly.com/question/521501
Investigate the relationship between the T-total and the T-number.
Answer:
feed me brainly points
Step-by-step explanation:
brainliest?
Cookies are rejected if they weigh more than 44 g or less than 36 g. How many cookies would you expect to be rejected in a sample of 10,000 cookies?
Answer:
its 456
Step-by-step explanation:
Solve the two-step equation. 3 4 (x) − 1.72 = −6.82 1. The first step is to on both sides. 2. The second step is to on both sides. The solution is x = .
Answer:
1. The first step is to add 1.72 on both sides.
2. The second step is to multiply by 4/3 on both sides.
3. The solution is x = -6.8
Step-by-step explanation:
EDGE 2020
The value of x in the the two-step equation is -6.80.
What is the value of x in the equation?In order to determine the value of x, take the following steps:
The first step is to combine similar terms together:
3/4x = -6.821 + 1.72
Add similar terms
3/4x = -5.101
Divide both sides of the equation by 4/3
x = -6.80
To learn more about division, please check: https://brainly.com/question/13281206
According to survey records, 75.4% of women aged 20-24 have never been married. In a random sample of 25 young women aged 20-24, find the mean, variance and standard deviation for the number who are or who have been married.
Answer:
mean = 6.15
variance = 4.637
standard deviation = 2.15
Step-by-step explanation:
It is given that 75.4% of women aged 20-24 have never been married.
We are interested in finding the mean, variance and standard deviation for the number who are or who have been married.
So the percentile of women who have been married is given by
[tex]p = 1 - 0.754 \\\\ p = 0.246 \\\\q = 1 - p \\\\q = 1 - 0.246 \\\\q = 0.754[/tex]
The mean is given by
[tex]mean = n\times p[/tex]
Where n is the sample size
[tex]mean = 25\times 0.246 \\\\mean = 6.15[/tex]
Therefore, the mean is 6.15
The variance is given by
[tex]variance = n \times p \times q \\\\variance = 25 \times 0.246 \times 0.754 \\\\variance = 4.637[/tex]
Therefore, the variance is 4.637
The standard deviation is given by
[tex]standard \: deviation = \sqrt{variance} \\\\standard \: deviation = \sqrt{4.637} \\\\standard \: deviation = 2.15[/tex]
Therefore, the standard deviation is 2.15
There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%,
92%, 76%, 72%, 92%, 74%, 80%, and 78%. What was the median math score of the sophomores?
79%
82%
87%
92%
Answer:
79%
Step-by-step explanation:
median is the middle no.
arrange the scores in descending order
72,74,76,(78,80),82,92,92
78+80, divide 2= 79%
The Retained earnings account has a credit balance of $54,000 before closing entries are made. Total revenues for the period are $72,200, total expenses are $48,300, and dividends are $15,800. What is the correct closing entry for the revenue accounts?
Answer: $62100
Step-by-step explanation:
The following can be deduced from the information given in the question:
Credit balance = $54000
Total revenues = $72,200
Total expenses = $48,300
Dividends = $15,800
Closing entry= Credit balance + Total revenues - (Total expenses + Dividends)
= $54000 + $72,200 - ($48300 + $15800)
= $126200 - $64100
= $62100
Please help! Correct answer only please! I need to finish this assignment by today.
One morning, boats from all along the Atlantic coast docked at a busy marina.
What is the experimental probability that the next boat to dock will be from Rhode Island?
Simplify your answer and write it as a fraction or whole number.
P(Rhode Island) =
Answer:
1/4
Step-by-step explanation:
there are 24 boats in total. out of those 24 boats, six are from rhode island. so 6/24 boats are from rhode island. simplified it will be 1/4 :)
What is $ 1.20 x 5 =? My brain is not working! LOL!
Answer:
6.25
Step-by-step explanation:
=1.20*5
=6.25
Answer:
6
Step-by-step explanation:
1.20 x 5 = 6
6/5 = 1.20
Please help me with my question!!
Answer:
14 ornaments.
Step-by-step explanation:
To find the amount of ornaments students can make from 3 1/2 pieces of Bristol board, you will need to divide fractions. Therefore:
Begin by converting '3 1/2' to an improper fraction.
3 1/2 = [tex]\frac{7}{2}[/tex]
Divide '1/4' from the total amount by multiplying by the reciprocal.
[tex]\frac{7}{2} * \frac{4}{1} = \frac{7* 4}{2 *1} = \frac{28}{2} = 14[/tex]
Therefore, the students can make 14 ornaments.
I need help please :((
Answer:
Function, passes the vertical line test
Step-by-step explanation:
The graph is a function. The points have a one to one correspondences as demonstrated by the vertical line test. Since only one point on the graph is touching a vertical line at a time, it will pass the vertical line test
Does the graph change between point A and point B
What whole number does: 20/5represent?
Answer:
4
Step-by-step explanation:
20/5 = 4
Answer:
4
Step-by-step explanation:
cause 20/5 is 4 meaning it represents 4
Please help! Correct answer only!
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.
If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?
Write your answer as a decimal rounded to four decimal places.
Answer:
The probability that exactly 11 of the chosen clay objects are vases
P(X = 11 ) = 0.16472
Step-by-step explanation:
Step(i):-
Given students created 19 clay objects, 12 of which were vases
probability of successes
[tex]p = \frac{x}{n} = \frac{12}{19} = 0.6315[/tex]
q = 1 - p = 1 - 0.6315 = 0.3685
Step(ii):-
Given n = 16
Let 'X' be the random variable in binomial distribution
[tex]P(X = r) = n _{C_{r} } p^{r} q^{n-r}[/tex]
The probability that exactly 11 of the chosen clay objects are vases
[tex]P(X = 11) = 16 _{C_{11} } (0.6315)^{11} (0.3585)^{16-11}[/tex]
we will use formula
[tex]n_{C_{r} } = \frac{n!}{(n-r)!r!}[/tex]
[tex]n_{C_{r} } =n_{C_{n-r} }[/tex]
[tex]16_{C_{11} } =16_{C_{16-11} }= 16_{C_{5} } = \frac{16 X 15 X 14 X 13 X 12}{5 X 4 X 3 X 2 X 1} = 4368[/tex]
[tex]P(X = 11) = 4368 (0.006369)(0.005921)[/tex]
P(X = 11 ) = 0.16472
Conclusion:-
The probability that exactly 11 of the chosen clay objects are vases
P(X = 11 ) = 0.16472
i need help plzzzzzzzzzzzz
Answer:
Fraction : [tex]\frac{3}{10}[/tex]
Decimal = 0.3
Percent = 30%
Answer:
Fraction: 3/10
Decimal: 0.3
Percent: 30%
Step-by-step explanation:
3/10 are shaded blue
0.3 is shaded blue
30% is shaded blue
Which factors affect the strength of electric force between two charged objects?
Answer:
The first factor is the amount of charge on each object. The greater the charge is then the greater the electric force. The second factor is the distance between the charges. The closer together the charges are, the greater the electric force is.
Step-by-step explanation:
What is the solution to the linear system y=-5x-21 and y=7x+15
Answer:
(-3,-6)
Step-by-step explanation:
Compair, then solve for x=-3
then solve you should get y=-6
Answer:
(-3, -6).
Step-by-step explanation:
Since both expressions in x are equal to y:
-5x - 21 = 7x + 15
-12x = 36
x = -3.
Plug x = -3 into the first equation:
y = -5*-3 -21
= 15 - 21
y = -6.
y =
One question in a survey about what kind of cars people prefer to drive is: “Would you prefer a ‘soccer Mom’ minivan or a ‘cool Mom’ convertible?” This question contains: A.bias B.errors C.statistics D.data PLEASE HELPPPPPP
Answer:
Bias.
Step-by-step explanation:
It contains bias because its forcing people to pick the "cool" mom car in stead of the "soccer mom" car.
Answer:
I hope this helps.
Step-by-step explanation:
Find the missing side. Leave your answer in simplest radical form.
Answer:
[tex] \sqrt{19} \: units[/tex]
Step-by-step explanation:
Given is a right angled triangle in which x represents the hypotenuse.
Therefore, by Pythagoras theorem:
[tex]x = \sqrt{( { \sqrt{10} })^{2} + {3}^{2} } \\ \\ = \sqrt{10 + 9} \\ \\ = \sqrt{19} \: units \\ [/tex]
what is the greatest common factor of 8x*3-6x*2y*2+4x*2y and 2x*2
Answer:
Step-by-step explanation:
Firstly, I believe that the equation should be represented as [tex]8x^{3} -6x^{2} y^{2} +4x^{2}y[/tex] and [tex]2x^{2} .[/tex] Please correct me if I am wrong and I will fix the equation accordingly.
To find the greatest common factor of this equation, we firstly need to factor the polynomial [tex]8x^{3} -6x^{2} yx^{2} +4x^{2} y[/tex]. To do this:
1. Find a GCF for all of the coefficients of the equation. To do this, you can make factor trees, or you can simply just use the prime factorization method.
The prime factorization method is simply a technique used to list the prime numbers used to find the total value. For example, what two prime numbers do you multiply to get four? 2 and 2. 2 is a prime number.
The prime factorization for each of the coefficients is as follows.
8: 2³
6: 2 · 3
4: 2²
We have 2s as values in every prime factorization, but we only one of each. We must take the greatest common value, and 2 is this value. So, our GCF coefficient is 2.
Now, we look at our x variables and y variables.
For x, we have x³ and x². So, our GCF is x².
Our GCF is now 2x². Now, let's look at our y-variables.
We don't have y variables for our entire polynomial, so it can't be a common factor. Therefore, our GCF is 2x².
PLLLSSSSSS HURRRYYYY To convert Celsius temperatures to Fahrenheit, you can use the expression 9/5 (C + 32). Tom says that another way to write this expression is 9/5 C + 32. What error did Tom make?
A. Tom did not make an error.
B. Tom should have simplified the fraction .
C. Tom did not distribute to both terms in parentheses.
D. Tom should have added inside the parentheses before multiplying.
Answer:
C.
Step-by-step explanation:
If you are distributing, you must distribute the outside to both terms in the inside.
Here is a list of numbers 17 21 14 17 12 15 16 A) work out the range of the numbers B) work out the mean of the numbers in the list
Answer:
Given below
Range: 9
Mean: 16
Hope it helps:)
Step-by-step explanation:
The data is given in the question
Range-
All we need to do is find the difference between the largest data value in our set and the smallest data value. Stated succinctly we have the following formula:
Range = Maximum Value–Minimum Value
= 21- 12
= 9
Mean-
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. The formula is:
Sum of term/ number of terms = mean
= 17+21+14+17+12+15+16/7
= 112/7
= 16
The range and the mean of the given data are 9 and 16 respectively.
What is range?The range is the difference between the smallest and highest numbers in a list or set.
Given that, a data 17, 21, 14, 17, 12, 15, 16,
a) Range = The difference between the lowest and highest values
= 21-12
= 9
b) Mean = (sum of all data)/(number of data)
= (17+ 21+ 14+ 17+ 12+ 15+ 16)/7
= 112/7
= 16
Hence, The range and the mean of the given data are 9 and 16 respectively.
For more references on range, click;
https://brainly.com/question/28135761
#SPJ5
Mark the statements that are true.
A. An angle that measures
radians also measures 30°.
pi/6
O B. An angle that measures pi/3
radians also measures 45°
O C. An angle that measures 180° also measures pi radians.
D. An angle that measures 30° also measures pi/radians.
Answer:
Correct answers:
A. An angle that measures [tex]\frac{\pi}{6}[/tex] radians also measures [tex]30^o[/tex]
C. An angle that measures [tex]180^o[/tex] also measures [tex]\pi[/tex] radians
Step-by-step explanation:
Recall the formula to transform radians to degrees and vice-versa:
[tex]\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\ \\\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians[/tex]
Therefore we can investigate each of the statements, and find that when we have a [tex]\frac{\pi}{6}[/tex] radians angle, then its degree formula becomes:
[tex]\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians\\\angle\,degrees=\frac{180^o}{\pi} \,* \,\frac{\pi}{6} \\\angle\,degrees=\frac{180^o}{6} \\\angle\,degrees=30^o[/tex]
also when an angle measures [tex]180^o[/tex] , its radian measure is:
[tex]\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\\angle\,radians=\frac{\pi}{180^o} \,* \,180^o\\\angle\,radians=\pi[/tex]
The other relationships are not true as per the conversion formulas
Answer:
the person abive is correct jzt to confirm