Sin (angle) = opposite leg / hypotenuse
Sin(x) = 2.1/4
x = arcsin(21./4)
x = 31.7 degrees
A line passed through the points (-3,-4) and (6,2). What is the x-intercept of this line?
Answer: 3
Step-by-step explanation:
Points (-3,-4) and (6,2) give you slope of (-4-2)/(-3-6)=-6/-9=2/3
Y=2/3x+k. Substitute first point, you get -4=2/3(-3)+k. -4=-2+k, so k=-2. When y=0, x value is the x intercept. 0=2/3x-2, 2/3x=2, so x=3.
Which of the following polygons can form a regular tessellation?
O A. Regular hexagon
B. Parallelogram
c. Rectangle
D. Regular pentagon
Answer:
A
Step-by-step explanation:
A
Which property of math is the young student learning with the following equation? 3 x (4 + 7) = (3 x 4) + (3 x 7)
The property of math they are learning is the distributive property
pls help me with this
Express 0.0065184 in 3 significant figures
Answer:
I believe it would be 6.5184*10^-3
Step-by-step explanation:
If wrong please tell me
A mortgage can take up to 25 years to pay off. Taking a $250,000 home, calculate the month-end payment for 15-, 20-, and 25-year periods using semi-annually compounded interest rates of 4%, 5.5%, and 7% for each period. What do you observe from your calculations?
Answer:
a-1. Using semi-annually compounded interest rates of 4%, or 0.04, we have:
M15 = $2,389.13
M20 = $2,091.10
M25 = $1,929.54
a-2. Using semi-annually compounded interest rates of 5.5%, or 0.055
M15 = $2,841.49
M20 = $2,580.47
M25 = $2,450.28
a-3. Using semi-annually compounded interest rates of 7%, or 0.07
M15 = $3,329.35
M20 = $3,108.80
M25 = $3,009.40
b-1. It can be observed that there is a negative relationship between the month-end payment and the payment period.
b-2. It can be observed that there is a positive relationship between the month-end payment and the semi-annually compounded interest rate.
Step-by-step explanation:
The month-end payment for each period can be calculated using the formula for calculating the present value (PV) of an ordinary annuity as follows:
Mn = PV / ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)
Where;
Mn = month-end payment for a particular year period = ?
PV = Present value or home value = $250,000
r = Monthly interest rate = semiannual interest rate / 6 months
n = number of months = Number of years * 12 months
Using equation (1), we have:
a. Calculate the month-end payment for 15-, 20-, and 25-year periods using semi-annually compounded interest rates of 4%, 5.5%, and 7% for each period.
a-1. Using semi-annually compounded interest rates of 4%, or 0.04
M15 = $250,000 / ((1 - (1 / (1 + (0.04/6)))^(15*12)) / (0.04 / 6)) = $2,389.13
M20 = $250,000 / ((1 - (1 / (1 + (0.04/6)))^(20*12)) / (0.04 / 6)) = $2,091.10
M25 = $250,000 / ((1 - (1 / (1 + (0.04/6)))^(25*12)) / (0.04 / 6)) = $1,929.54
a-2. Using semi-annually compounded interest rates of 5.5%, or 0.055
M15 = $250,000 / ((1 - (1 / (1 + (0.055/6)))^(15*12)) / (0.055 / 6)) = $2,841.49
M20 = $250,000 / ((1 - (1 / (1 + (0.055/6)))^(20*12)) / (0.055 / 6)) = $2,580.47
M25 = $250,000 / ((1 - (1 / (1 + (0.055/6)))^(25*12)) / (0.055 / 6)) = $2,450.28
a-3. Using semi-annually compounded interest rates of 7%, or 0.07
M15 = $250,000 / ((1 - (1 / (1 + (0.07/6)))^(15*12)) / (0.07 / 6)) = $3,329.35
M20 = $250,000 / ((1 - (1 / (1 + (0.07/6)))^(20*12)) / (0.07 / 6)) = $3,108.80
M25 = $250,000 / ((1 - (1 / (1 + (0.07/6)))^(25*12)) / (0.07 / 6)) = $3,009.40
b. What do you observe from your calculations?
Two things can be observed from the calculations:
b-1. At a particular semi-annually compounded interest rate, the month-end payment decreases as the payment period increases. This implies that there is a negative relationship between the month-end payment and the payment period.
b-2. At a particular payment period, the month-end payment increases as the semi-annually compounded interest rate increases. This implies that there is a positive relationship between the month-end payment and the semi-annually compounded interest rate.
How many 1/4 cup servings are there in 2 cups of raisins?
Factor 140c + 28 -14a to identify the equivalent expressions.
Step-by-step explanation:
140c+28-14a14(10c+2-a)hope it helps
stay safe healthy and happy...How many miles are equivalent to 800 meters? Round answer to the nearest hundredth.
0.50 miles
1.29 miles
2.62 miles
4.97 miles
Answer:
0.5miles
Step-by-step explanation:
800meters is 0.497097miles
Round 0.497097miles to the nearest hundredth which would be 0.5 miles.
Which expression has a value of 15 when n = 7?
1: 43 minus 5 n
2: 3 n minus 5
3: 6 n minus 28
4: 19 minus StartFraction 28 Over n EndFraction
Answer:
[tex]19-\frac{28}{n}[/tex] is the expression with the value of 15 when n = 7
Step-by-step explanation:
To find the expression whose value is 15, substitute the value of n = 7 in each given expression.
Expression 1:
[tex]43-5n[/tex]
Substitute the value of n & simplify,
[tex]43-5(7)[/tex]
[tex]43-35=8[/tex]
Since the value of the expression is 8 which is not equal 15.
Hence expression [tex]43-5n[/tex] does not have value of 15 when n = 7.
Expression 2:
[tex]3n-5[/tex]
Substituting the value of n & simplify,
[tex]3(7)-5[/tex]
[tex]21-5=16[/tex]
Since the value of the expression is 16 which is not equal 15.
Hence expression [tex]3n-5[/tex] does not have value of 15 when n = 7.
Expression 3:
[tex]6n-28[/tex]
Substituting the value of n & simplify,
[tex]6(7)-28[/tex]
[tex]42-28=14[/tex]
Since the value of the expression is 14 which is not equal 15.
Hence expression [tex]6n-28[/tex] does not have value of 15 when n = 7.
Expression 4:
[tex]19-\frac{28}{n}[/tex]
Substituting the value of n & simplify,
[tex]19-\frac{28}{7}[/tex]
[tex]19-4=15[/tex]
Since the value of the expression is 15 which is equal 15.
Hence expression [tex]19-\frac{28}{n}[/tex] has the value of 15 when n = 7.
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Triangle ABC has perimeter 20 cm.
AB = 7 cm.
BC = 4 cm.
By calculation, deduce whether triangle ABC is a right-angled triangle
Answer: 28.
Step-by-step explanation: Because if you times 7 and 4 you get 28.
Será - 12 esta noche. El meteorólogo predice que mañana al mediodía hará 25 ° más de temperatura. ¿Cuál será la temperatura mañana al mediodía?
Respuesta:
13 °
Explicación paso a paso:
La temperatura de esta noche = - 12
La temperatura prevista para mañana = 25 ° más cálida que la temperatura de esta noche
La temperatura prevista para mañana será;
La temperatura de esta noche + 25 °
Temperatura prevista para mañana = (-12 ° + 25 °)
Temperatura prevista para mañana = 13 °
Find the value of x,rounded to the nearest tenth
Answer:
Step-by-step explanation:
The formula for this is
14(20) = 25x and
280 =25x so
x = 11.2
What is the correct expansion of (2x+3) (2x^2-5)
Answer:
4x^3 + 6x^2 -10x - 15
Step-by-step explanation:
* means multiply
4x^3 + 6x^2 -10x - 15
2x * 2x^2 = 4x^3
2x * -5 = 10x
3 * 2x^2 = 6x^2
3 * -5 = -15
Answer:
4x³ + 6x² - 10x - 15
Step-by-step explanation:
(2x+3) (2x²-5)
4x³ - 10x + 6x² - 15
4x³ + 6x² - 10x - 15
The pie chart shows the information about the favourite ice creme flavour of each student in a schcool.There are 720 students at this school
Answer:
there would be many diffrent answers
Step-by-step explanation:
provide the full question, i can deduct that there are many ice cream flavors.
3 Nine children share out cqually the chocolates in a large tin and it
cight cach. If there were only six children, how many would each get
Which of the four graphs has the greatest standard deviation? please help me
Answer:
Standard deviation is how far away the values are from the mean.All of your graphs have normal distribution, meaning the mean is in the center.The more spread out your graph is, the greater the standard deviation.
So the option with the most spread out graph, which I think is A, can't see very clear.
PLS HELP ASAP HOW DOES THIS= THIS
f(x)=2x^3-9x^2+11x-20....
look at photo.
true or false
Answer:
false
Step-by-step explanation:
the temperature at the foot of a mountain is 5.9 ° C. The temperature decreases by 1.7 ° C for every increase of 200m in height. If the height of the mountain is 1000m, what is the temperature at the top of the mountain?
Tìm x €N: a) 24:(2x-4)+14=26
Answer:
2x-4+14=26 add -4+14 this will give you +10
2x+10=26 subtract 10 on both side this will give you 16
2x=16 divide by 2 on both side this will give you 8
x=8
Step-by-step explanation:
15. A line is given by the equation y = 49. What is the equation
of the perpendicular line that passes through the point (12, 35)?
The equation of the line is given by x
Answer:
x=12
Step-by-step explanation:
Line that's perpendicular to y=49 should be a vertical line of the form x=a
Now the line passes through (12,35) so the equation of the line is,
x=12
Answered by GAUTHMATH
BRAINLIEST FOR EXPLANATION AND STEP BY STEP. (One question)
1) In a right triangle, the side adjacent to the 25 degree angle is 15cm long. What is the length of the side opposite the 25 degree angle to the nearest centimeter?
MY QUESTIONS:
what is the question asking for? And where is the 25 degree in a right triangle??
PLS HELP! :))
Answer:
Step-by-step explanation:
Draw a right triangle with the following conditions.
Make one of the acute angles come out to your right.
The adjacent side should be one of the sides that makes up the acute angle you just drew.
The adjacent side is also horizontal.
The other side is vertical at the left end point of the 15 cm side
The right angle is made by the two sides you have already.
Join the vertical end point to the horizontal endpoint not part of the right triangle.
Label the left side of the horizontal line as 25 degrees.
You are looking for the vertical line length.
The vertical line divided by the horizontal line length = tan(25)
vertical / 15 = tan(25) Multiply both sides by 15
vertical = 15 * tan(25)
vertical = 15 * 0.4663
vertical = 6.995
Answer:
7 cm approximately
Step-by-step explanation:
A right triangle means one of the angles is 90 degrees. It tells one of the other angles is 25 degrees. It doesn't matter which one you call 25 degrees, just don't call the right angle 25 degrees:p.
We are given the adjacent side to 25 degrees. This is the side helping to create the angle whose measurement is 25 degrees. The other side helping to create the angle is the hypotenuse.
We are asked to find the opposite side to the 25 degree angle.
Since we are given the 25 degree angle, the adjacent side measurement=15 cm, and we are asked to find the opposite side measurement=x, we should use tangent ratio.
I like to refer to the acronym to help me remember which trig ratio to use: Soh Cah Toa.
So we need to solve tan(25)=x/15.
We can do this by multiplying both sides by 15 giving us 15tan(25)=x.
Now we punch it into our calculator giving us 6.995 cm approximately.
Martin was selling tickets for a basketball game in a high school. He sold
1,250 tickets and the total amount collected for the game was $2,750. The
student tickets cost $2 each, and adult tickets cost $3 each. How many
student and adult tickets were sold?
Answer:
1,000 student tickets.250 adult tickets.Step-by-step explanation:
2x + 3y = 2750
x + y = 1250
where x is student tickets and y is adult tickets
x = 1250 – y
2x = 2500 – 2y
→
(2500 – 2y) + 3y = 2750
2500 + y = 2750
y = 250 →
x + y = 1250
x = 1000
Paul's company rents cars to people who are at least 25 years old. Which graph best represents the possible ages of people who can rent cars from Paul's company?
A number line with an open circle on 25, with shading to the right.
A number line with a closed circle on 25, with shading to the right.
A number line with an open circle on 25, with shading to the left.
A number line with a closed circle on 25, with shading to the left.
Answer:
A number line with a closed circle on 25, with shading to the right.
Explanation:
A closed circle means "greater than or equal to" or "less than or equal to".
A open circle means "less than" or "greater than"
Therefore, since the question says: "who are at least 25 years old", a closed circle is the correct answer.
And says it says "at least 25 years old" it means that it shaded to the right, and that the circle is on the number 25.
Answer:
A number line with a closed circle on 25, with shading to the right.
Step-by-step explanation:
...
Bạn đang kiểm toán khoản mục nợ phải trả của Công ty Hoàn Vũ cho niên độ kết thúc ngày 31/12/200x. Trên bảng cân đối kế toán, có 1 khoản nợ phải trả như sau: - Tiền lương lũy kế phải trả công nhân viên 21.270.000đ - Phải trả cho nhà cung cấp về số hàng mua đã nhận nhưng chưa nhận được hóa đơn vào ngày 30/06/200x: 40.000.000đ yêu cầu: Cho biết các thử nghiệm chi tiết mà bạn cần thực hiện nhằm xác định tính trung thực và hợp lý của các khoản trên.
Answer:
Never going to give you up.
Step-by-step explanation:
We're no strangers to love
You know the rules and so do I
A full commitment's what I'm thinking of
You wouldn't get this from any other guy
I just wanna tell you how I'm feeling
Gotta make you understand
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
We've known each other for so long
Your heart's been aching but you're too shy to say it
Inside we both know what's been going on
We know the game and we're gonna play it
And if you ask me how I'm feeling
Don't tell me you're too blind to see
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
What's the perpindicular line of y+5=4(x+12)
Dairy cows at large commercial farms often receive injections of bST (Bovine Somatotropin), a hormone used to spur milk production. Bauman et al. (Journal of Dairy Science, 1989) reported that 12 cows given bST produced an average of 28.0 kg/d of milk. Assume that the standart deviation of milk production is 2.25 kg/d. (a) Find a 99% confidence interval for the true mean milk production. Round your answers to two decimal places (e.g. 98.76).
Answer:
The 99% confidence interval for the true mean milk production is between 26.33 kg/d and 29.67 kg/d.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{2.25}{\sqrt{12}} = 1.67[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 28 - 1.67 = 26.33 kg/d.
The upper end of the interval is the sample mean added to M. So it is 28 + 1.67 = 29.67 kg/d.
The 99% confidence interval for the true mean milk production is between 26.33 kg/d and 29.67 kg/d.
Help on this question
Answer:
is it me or can I not see anything
Guys I need help!!!
Is (1, 4) a solution to the equation y = 8x − 4?
Answer:
Yes
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)FunctionsStep-by-step explanation:
Step 1: Define
Identify
Point (1, 4)
y = 8x - 4
Step 2: Find
Substitute in point [Equation]: 4 = 8(1) - 4Multiply: 4 = 8 - 4Subtract: 4 = 4yes.
you just have to check like this: 1 is x and 4 is y.
4 = 8(1) - 4
4 = 8 - 4
4 = 4
hope it helps.
Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.
Can somebody help me