We can use trigonometry to find the length of side SU in triangle TSU. We can use the tangent function, where tangent is equal to the opposite side divided by the adjacent side. In this case, the opposite side is SU and the adjacent side is ST.
What is basic trigonometry?
The study of the relationship between the sides and angles of the right-angle triangle is the main objective of the field of mathematics known as "trigonometry." Trigonometric formulas, functions, or identities can consequently be used to determine the missing or unknowable angles or sides of a right triangle.
We know that angle TUS is 37 degrees, so we can use that angle to find the tangent of the angle:
tan(37) = SU / 0.6
Solving for SU:
SU = 0.6 * tan(37)
The exact length of SU can be found by using a calculator or a table of trigonometric values. To a good approximation, the value of SU is approximately 0.73.
Learn more about trigonometry
https://brainly.com/question/24349828
#SPJ1
Vo students so student's 8- In a class of 80 students 50 know English, 55 know French and 46 know German Language-37 students
know English and French, 28 know French and German 7 students know none the
Languages.Required Represent the above in a vain, diagram in How many students know all the three Languages How many student's know English but not germsnin a class of its students 50 students know English 55 students no friends and 46 no German language 37 students new ignition French 28 snow French and German and 7 students know none of the language language is required to present the above in a venn diagram
There are 12 students that know all of the language .
Given : Total U = 80
Let A be the set of students that know English
A = 50
Let A be the set of students that know French
B = 55
Let A be the set of students that know German
C =46
Since , 7 students know none of the language
Therefore , |A?B?C| = 7
Also ,
|A∩B| = 37
|B∩C| =28
|C∩A| = 25
Now ,
U - (A∪B∪C) = (A?B?C)
80 - (A∪B∪C) = 7
(A∪B∪C) = 73
Number of students that know all three languages
(A∪B∪C) = A + B + C - [(A∩B) + (B∩C) + (A∩C)] + (A∩B∩C)
73 = 50 + 55 + 46 - 37 -28 -25 + (A∩B∩C)
Therefore , (A∩B∩C) = 12
Hence , there are 12 students that know all of the language .
Learn more about union & intersection at:
https://brainly.com/question/28278437
#SPJ1
the range of temperature, t on the surface of a planet is from -150°c to 18c. translate this statement into algebraic or compound inequality.
Answer:
-150 ≤ t ≤ 18
Step-by-step explanation:
(3x-2)²+(7x+5)(3x-2)
Answer:
9x^2+4-12x+21x^2+x-10
30x^2-11x-6
Step-by-step explanation:
please make me as brainlest
Matias preformed an operation with 7.6 and a number. He ended up moving the decimal point in 7.6 two places to the left. Matias divided 7.6 by 10 raised to the power of
Therefore , the solution of the given problem of equation comes out to be Matias operated with the number 760.
A linear equation is precisely what?A straightforward regression graph is created using the equation y=mx+b. B is the slope, and m is the y-intercept. Even though the portion before it consists of separate sections, it is frequently described as just a "simple algorithm combining many variables". Two factors make up bivariate linear equations. There are no solutions known for application issues involving linear equations.
Here,
When Matias moved the decimal point in 7.6 two places to the left, he essentially divided 7.6 by 100, which is equivalent to dividing by 10 raised to the power of 2.
So, if we let x be the number Matias operated with, we can set up the equation:
x ÷ 10² = 7.6
Simplifying:
x ÷ 100 = 7.6
Multiplying both sides by 100:
x = 760
Therefore, Matias operated with the number 760.
To know more about linear equation visit:
https://brainly.com/question/11897796
#SPJ1
A hardware store spent $13,290 on print and TV advertising last year.
2
If of that amount was spent on print advertising, how much was
spent on TV advertising?
Select one:
O a. $5,316
O b. $13,290
O c. $18,606
C.
O d. $7,974
So the correct answer is $6,645, or option D. If just a portion of that sum was spent on print advertising.
What is division?Multiplication is the inverse of division. If 3 groups of 4 add up to 12, 12 split into 3 equal groups adds up to 4 in each group in division. The basic purpose of splitting is to determine how many equal groups develop or how many people are in each group when distributing equally. A division in mathematics is the process of dividing a specified amount into equal pieces. For example, we can split a group of 20 people into four groups of five people each, or five groups of four people each, and so on.
Here,
If half of the $13,290 was spent on print advertising, then $13,290 / 2 = $6,645 was spent on print advertising.
Therefore, $13,290 - $6,645 = $6,645 was spent on TV advertising.
So, the answer is $6,645, or option D If of that amount was spent on print advertising.
To know more about division,
https://brainly.com/question/28598725
#SPJ1
Write an equation in point-slope form line with slope m=6 that passes through the point (-1,9). Without doing any calculations, what are the values of m,x[tex]x_{0}[/tex] and y_{0}[/tex] in the point slope form.
M=
x0=
y0 =
y =
Without doing any calculations, the values of m, x_{0} and y_{0} in the point-slope form include the following:
M = 6
x_{0} = -1
y_{0} = 9.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₀ = m(x - x₀)
Where:
m represents the slope.x and y represents the data points.From the information provided above, we have the following slope and data points on the line:
Initial point on the x-axis, x₀ = -1.
Initial point on the y-axis, y₀ = 9.
Slope, m = 6.
Read more on slope here: brainly.com/question/3493733
#SPJ1
3. Methods for receiving the most recent hazardous weather information and current updates directly from your local
Weather Forecast Office (WFO) include all EXCEPT which of the following?
OA. EMWIN or other message broadcast systems
O B. Local broadcast media
O C. NWSChat, phone calls, phone alerts
O D. NOAA Weather Radio
Methods for receiving the most recent hazardous weather information and current updates directly from your local Weather Forecast Office (WFO) include all except C. NWSChat, phone calls, phone alerts
What is weather forecasting?Simply put, a weather prediction is a scientific projection of the coming weather. The most important meteorological variables are used to express the state of the atmosphere at any particular time as the weather condition. Significant weather factors that are expected vary by location.
It is possible to predict the weather by employing technology and scientific understanding to make weather observations. This process is known as weather forecasting. In other words, it allows for the early prediction of events like cloud cover, rain, snow, wind speed, and temperature.
Therefore, option C is correct.
Learn more about Forecast at:
https://brainly.com/question/29258477
#SPJ1
Diego has $11 and begins saving $5 each week towards buying a new phone. At the same time Diego begins saving, Lin has $60 and begins spending $2 per week on supplies for her art class. Is there a week when they have the same amount of money? How much do they have at that time?
No, there isn't a week when they have the exact same amount of money, however at week 7, Diego has $45 and Lin has $44.
Find the volume of the figure. Express the answer in terms of pi and then round to the nearest whole number.
Answer:
see below
Step-by-step explanation:
memorize this formula for cone volume:
V = 1/3 * π r²*h
so r = 18/2 =9
h = 3
solve V = 81π = 254
Answer:
254.47
Step-by-step explanation:
Please help solve this:
Answer:
f' = cg' = ah' = bStep-by-step explanation:
Given a sawtooth, a parabola, and a logistic function, you want to identify the graphs that represent their derivatives.
SawtoothThe "zigzag" sawtooth function has constant positive slope alternating with constant negative slope. This is shown in derivative graph (c).
ParabolaThe slope of the parabola changes smoothly from positive to negative, going through zero in the middle. This is shown in derivative graph (a).
Logistic functionThe slope of the logistic curve is positive everywhere, with a higher rate of change in the middle. This is shown in derivative graph (b).
in the figure below, trapezoid mnrs is made up of trapezoid mnpt, triangle tpq, and parallelogram pqrs. the area of triangle tpq is 84 square feet. the lengths of np, pq, and qr are in the ratio 2: 1.5:1. find the area of trapezoid mnrs
The area of the trapezoid MNRS is 378 square feet.
What is a trapezoid?An open, flat object with four straight sides and one set of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases.
In the figure below, trapezoid MNRS is made up of trapezoid MNPT,
triangle TPQ, and parallelogram TQRS.
The area of triangle TPQ is 84 square feet.
The lengths of NP, PQ, and QR are in the ratio 2 : 1.5 : 1.
The heights of the parallel base are,
a = 18 feet and b = 16 + 12 + 8 = 36 feet.
Let h be the perpendicular height.
So,
1/2 x h x 12 = 84
h = 14 feet.
The area of the trapezoid MNRS,
= 1/2 x (36 + 18) x 14
= 378 square feet.
Hence, the area is 378 square feet.
To learn more about the trapezoid;
https://brainly.com/question/8643562
#SPJ1
Isabel will only consume chocolate bars and glasses of milk in a ratio of 3-to-1, meaning whenever she has 3 chocolate bars, she also has 1 glass of milk. 2nd attempt Isabel currently has 6 chocolate bars and 2 glasses of milk. Determine whether the bundles shown below would be equally preferred, more preferred, or less preferred than what Isabel currently has. Items (5 items) (Drag and drop into the appropriate area below) More Preferred Less Preferred Equally Preferred (9 chocolate bars, 1 glass of milk) (6 chocolate bars, 3 glasses of milk) (9 chocolate bars, 3 glasses of milk) (3 chocolate bars, 2 glasses of milk) (9 chocolate bars, 2 glasses of milk)
The ratio of chocolate bars More Preferred: (9 chocolate bars, 3 glasses of milk); Equally Preferred: (6 chocolate bars, 3 glasses of milk); Less Preferred: (3 chocolate bars, 2 glasses of milk) and (9 chocolate bars, 2 glasses of milk).
The ratio of chocolate bars to glasses of milk that Isabel consumes is 3-to-1. This means that whenever she has 3 chocolate bars, she also has 1 glass of milk. Currently, Isabel has 6 chocolate bars and 2 glasses of milk. The bundles listed above are compared to Isabel's current consumption. Out of the five bundles, the one with 9 chocolate bars and 3 glasses of milk is more preferred than what Isabel currently has because it has more of the ratio than Isabel's current consumption. The bundle with 6 chocolate bars and 3 glasses of milk is equally preferred because it holds the same ratio as Isabel's current consumption. The bundles with 3 chocolate bars and 2 glasses of milk and 9 chocolate bars and 2 glasses of milk are less preferred because they both have less of the ratio than Isabel's current consumption.
Learn more about ratio here
https://brainly.com/question/13419413
#SPJ4
David has a smart phone data plan that costs $30 per month that includes 6 GB of data, but will charge an extra $10 per GB over the included amount. How much would David have to pay in a month where he used 4 GB over the limit? How much would David have to pay in a month where he used went over by x x GB?
If David uses 4 GB over the limit, then he has used a total of 6 + 4 = 10 GB of data in that month. Since his plan includes 6 GB of data, he has exceeded the limit by 4 GB.
For the extra 4 GB of data, he will be charged an additional $10 per GB, so his total extra charge will be $10 x 4 = $40.
Therefore, in a month where David used 4 GB over the limit, he would have to pay $30 (the base cost of the plan) plus $40 (the extra charge for the additional data), for a total of $70.
If David went over the limit by x GB, then his total data usage for the month would be 6 + x GB. He would then be charged $10 for each GB over the limit, so his extra charge would be $10 x x.
Therefore, in a month where David went over the limit by x GB, he would have to pay $30 (the base cost of the plan) plus $10x (the extra charge for the additional data), for a total of $30 + $10x.
A man and his spouse are expecting a baby. Their current health insurance costs $116 per month, but doesn't cover prenatal care or delivery. They can upgrade to a policy that will cover their prenatal care and delivery, but their new premium will be $291 per month. The cost of prenatal care and delivery is approximately $3000.
The best choice for the man and his spouse is that they should upgrade to the new policy because the current policy costs $1,044 for nine months, which is significantly less than the upgrade which costs $2,619 for nine months. That is option A.
What is a health insurance?A health insurance is defined as the amount of money deducted from a salary account which is used for health care services of the individual when accumulated over time.
The man and his spouse are expectant and they believe that the money for prenatal care and delivery would be from the health insurance.
Therefore, they should upgrade to the health insurance that pays $291 per month so as to accumulate an amount such as $2,619 which is approximately $3000.
Learn more about health insurance here:
https://brainly.com/question/25855858
#SPJ1
Complete question:
Analyze the following situation and determine which decision would be the best decision to make. Explain your answer. A man and his spouse are expecting a baby. Their current health insurance costs $116 per month, but doesn't cover prenatal care or delivery. They can upgrade to a policy that will cover their prenatal care and delivery, but their new premium will be $291 per month. The cost of prenatal care and delivery is approximately $3000. Select the correct choice below and fill in any answer boxes within your choice.
O A. They should upgrade to the new policy because the current policy costs $ for nine months, which is significantly less than the upgrade which costs $ for nine months.
OB. They should keep their current policy because it costs $ for nine months, which is significantly less than the upgrade which costs $ for nine months.
Solve the right triangle
lmk is anything is unclear. This would also work with cosine but it would have to be set up a little differently.
y=3x+5 solving for y.
Answer:
y= -3+5
its the same thing
Step-by-step explanation:
<
Order the values from least to greatest.
Put the lowest value at the top.
088
8 tens
8 x
1
(———-)
100
The order of the values from the least to the greatest is:
8 x 1 / 1000. 88 8 tens How to order the values ?To order the values, it would be best to convert them to decimals or whole numbers to better see how they relate with each other.
The value of 8 tens means:
= 8 x 10
= 80
The value of 8 x 1 / 100 comes to :
= 8 x 1 / 100
= 8 / 100
= 0.08
The value of 0. 88 is already in decimals.
The largest number therefore, is 8 tens. Then 0. 88 follows as it is greater than 0. 08.
Find out more on order at https://brainly.com/question/29342592
#SPJ1
Cereal for Breakfast. A cereal company announced 80% of Americans start the day with cereal for breakfast. You believe the percentage of Americans that start the day with cereal is less. To test your claim, you randomly sample 100 Americans and ask them what they eat for breakfast. 70 of them say cereal. Test your claim that percent of Americans that start the day with cereal for breakfast is less than 80% at a 5% level of significance.
(b) Find the p-value (round to four decimal places
The null hypothesis is that the percentage of Americans who start the day with cereal for breakfast is 80%. The alternative hypothesis is that the percentage is less than 80%.
Let p be the true proportion of Americans who start the day with cereal. The sample proportion is 70/100 = 0.7. The standard error is √(p(1-p)/n) = √(0.8(0.2)/100) = 0.04.
The test statistic is (0.7 - 0.8) / 0.04 = -2.5. From the standard normal distribution table, the p-value for a one-tailed test with a test statistic of -2.5 is 0.0062.
Since the p-value (0.0062) is less than the significance level (0.05), we reject the null hypothesis. There is evidence to support the claim that the percentage of Americans who start the day with cereal for breakfast is less than 80%.
HELLOOOOOOOOOO I NEED HALP WITH DISSS
The probability of drawing two blue cards is 0.09.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
given:
Green cards = 5
Blue card=3
Red card= 2
So, the probability of getting blue card at first time
= 3/ 10
Now, the probability of getting blue card at second time
= 3/10
Thus, the probability of drawing two blue cards
= 3/10 x 3/10
= 9/100
= 0.09
Learn more about Probability here:
https://brainly.com/question/11234923
#SPJ1
Grandma Anni insists that corresponding lines must be congruent for figures
to be similar. Is she wrong explain
Answer:
Grandma Anni is correct, so no. One of the criteria for comparing two figures is that their corresponding lines must be congruent. Similar figures can vary in size while maintaining the same shape. They are therefore proportionate and have identical matching angles. The shapes of the figures will match if the associated lines are congruent.
Hope it helps! : )PLS HELP NOW!! 100pts! BRAINLIEST ANSWER!
What is 2+2/5*8-9+18/55
Answer:
- 3 26/55
Step-by-step explanation:
2 + 2/5 * 8 - 9 + 18/55 = Multiplication2 + 16/5 - 9 + 18/55 = Division - simplifying fraction2 + 3 1/5 - 9 + 18/55 = Collect wholes and fractions 2 + 3 - 9 + 1/5 + 18/55 = Simplify- 4 + 11/55 + 18/55 = Add up fractions- 4 + 29/55 = Subtract fraction from whole- 3 - 1 + 29/55 = Convert whole to fraction- 3 - (55/55 - 29/55) = Simplify- 3 - 26/55 = Add up two negatives- 3 26/55 Answer - mixed fractionWhen you divide 33 from a natural number (n) you get the remainder 5. What are all possible values of n? PLEASE HELP I HAVE RSM IN TWO DAYS I NEED THIS ITS MY LAST QUESTION PLS
The possible values of n are 5 and 6.
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Given that, divide 33 from a natural number (n) you get the remainder 5.
Now, 33/n =5
n=33/5
n=5.5
So, the possible values are 5 and 6
Therefore, the possible values of n are 5 and 6.
To learn more about the division visit:
https://brainly.com/question/1575906.
#SPJ1
plssss helppp meeee!!!!!
Answer:
x = - 2 , x = 2 are the input values
Step-by-step explanation:
g(x) = 4 , means y has the value of 4 and we want to find the values of x corresponding to this.
locate y = 4 on the y- axis , then a horizontal line through this point , intersects the graph at (- 2, 4 ) and (2, 4 )
thus when g(x) = 4 , the input values are x = - 2 and x = 2
Polk Elementary School was putting on its annual fall carnival. The school was selling 10 tickets for $1.00 or 2 tickets for 254. Which is the better buy? Explain why.
The better buy is 10 tickets for $1.00.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
Polk Elementary School was putting on its annual fall carnival.
The school was selling 10 tickets for $1.00 or 2 tickets for $0.254.
That means,
A). 10 tickets for $1.00 or
B). 2 tickets for $0.254.
So, 10 tickets for $1.3
Therefore, option A is a better choice.
To learn more about multiplication;
https://brainly.com/question/19634536
#SPJ1
Please Answer Quickly!
I am timed, please.
Please find attached the graph of the residual plot created with MS Excel
What is a residual plot?A residual plot is the plot of the vertical distances between the data points and the regression line.
The residuals can be obtained by the equation;
r = y - y₀
The residuals are calculated using the above formula for the residuals and presented in a tabular format as follows;
x [tex]{}[/tex] y [tex]\hat{y}[/tex] r
10 [tex]{}[/tex] 4.472 4.73 0.258
24[tex]{}[/tex] 6.928 6.312 -0.616
53 [tex]{}[/tex] 10.296 9.589 -0.707
46 [tex]{}[/tex] 9.592 8.798 -0.794
5 [tex]{}[/tex] 3.162 4.165 1.003
78 [tex]{}[/tex]12.49 12.414 -0.076
100 [tex]{}[/tex]14.142 14.9 0.758
84 [tex]{}[/tex] 12.962 13.092 0.13
The residual plot can be graphed using the data points for the x-values, x, and the residuals, r, as follows;
x; 10 [tex]{}[/tex] 24 53 46 5 78 100 84
r; 0.258 [tex]{}[/tex] -0.616 -0.707 -0.794 1.003 -0.076 0.758 0.13
Please find attached the graph of the residuals, the residual plot created with MS Excel
Learn more on residual plots here: https://brainly.com/question/2610035
#SPJ1
Decide if the given statement is true or false. If it is false, give the reason.
4 € (3,4,5}
The given statement is true i.e. 4 € (3,4,5}.
What are Sets and Subsets?
A set is a mathematical representation of a group of diverse items. A set has elements or members, which can be any type of mathematical object, including numbers, symbols, lines, points in space, other geometric structures, variables, or even other sets.
When all the components of Set A are also present in Set B, Set A is said to be a subset of Set B. Alternatively said, Set B contains Set A.
Here, (3,4,5} has open ended bracket on 3 which implies it does not contain 3 .
Similarly, (3,4,5} has closed bracket on 5 which implies it contains 5.
Since, we have to check whether 4 belongs to the set or not,
4 belongs to the given set because it is a part of given set which is in the mid hence, we don't need to check bracket here.
Hence, 4 € (3,4,5} and the given statement is true.
To learn more about Sets, visit the link :
https://brainly.com/question/13458417
#SPJ1
Deondra has a collection of vintage action figures that is worth $250. If the collection appreciates at a rate of 16% per year, which equation represents the value of the collection after 8 years?
Answer:
see below
Step-by-step explanation:
every year goes up 16%, so
250 * (1+16%)^8 = 819.6
can someone tell me how to find this problem?
Step-by-step explanation:
play the video that is in the activity
Determine the value of h in the equation 1/7+h=9/7
100 POINTS HELP Where might unearned income appear on a general ledger?
A. as a debit
B. as a credit
C. as a normal entry
D. as a footnote
En la A:
Step-by-step explanation:
Answer:
B. as a credit
Step-by-step explanation: