Answer:
-pi over 6 or B.
Step-by-step explanation:
I plugged it into desmos and this is what I got
Using the inverse of the sine function, it is found that the value of x is:
[tex]x = -\frac{\pi}{6}[/tex]
What is the inverse sine function?It is the function described by:
[tex]y = \arcsin{x}[/tex]
And means that sine of y is equals to x, that is:
[tex]x = \sin{y}[/tex]
In this problem, the function is:
[tex]x = \arcsin{-\frac{1}{2}}[/tex]
Which means that we have to solve for x, considering that the sine of x is of -1/2. Hence:
[tex]\sin{x} = -\frac{1}{2}[/tex]
[tex]x = -\frac{\pi}{6}[/tex]
Hence, the value of x is given by:
[tex]x = -\frac{\pi}{6}[/tex]
More can be learned about inverse trigonometric functions at https://brainly.com/question/1143565
8. Iwo towns are 3.5 inches apart on a map. The scale of the map is 1 inch = 24 miles. How many miles apart are the two towns? 60 miles 72 miles 84 miles 96 miles
The jacks and balls have to be spilt among 6 people . Use the distributive property to pull the number 6 out of the expression
Answer: (24 + 60) = (6 × 4 + 6 × 10) = 6 × (4 + 10)
Which of the statements below is true for the following set of numbers?
42, 20, 36, 51, 60, 28
The range is 14 and the midrange is 35.
The
range is 60 and the midrange is 39.
The range is 40 and the midrange is 20.
The range and the midrange are equal.
Answer:
The range is 40 and the midrange is 20.
For the given number, the range is 40 and the midrange is 20. Option C is correct.
Given that,
42, 20, 36, 51, 60, 28,
Range, it is the set of values that come out to an outcome for a certain mathematical operation.
Here,
In the given series least number = 20
Largest number = 60
Range = 60 - 20 = 40
Midrange = 40 / 2 = 20
Thus, For the given number, the range is 40 and the midrange is 20. Option C is correct.
learn more about the range here:
https://brainly.com/question/12239390
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Alana is purchasing a $160,000 home and her bank is offering her a 30-year
mortgage at a 4.9% interest rate. In order to lower her monthly payment,
Alana will make a 20% down payment and is considering a purchase of 3
points. How much lower will her monthly payment be if she purchases the
points?
Answer:
The amount by which her monthly payment will be lower if she purchases the points is $57.12.
Step-by-step explanation:
Since Alana will make a 20% down payment, the mortgage loan balance can be calculated as follows:
Mortgage loan balance = Mortgage amount – Down payment = $160,000 – ($160,000 * 20%) = $160,000 - $32,000 = $128,000
The amount by which her monthly payment will be lower if she purchases the points can now be calculated using the following steps:
Step 1: Calculation of monthly payment without purchasing 3 points
The monthly payment can be calculated using the formula for calculating loan amortization as follows:
P = (A * (r * (1 + r)^n)) / (((1+r)^n) - 1) .................................... (1)
Where,
P = monthly payment without purchasing 3 points = ?
A = Mortgage loan balance = $128,000
r = monthly interest rate = 4.9% / 12 = 0.049 / 12 = 0.00408333333333333
n = number of payment months = 30 years * 12 months = 360
Substituting all the figures into equation (1), we have:
P = ($128,000 * (0.00408333333333333 * (1 + 0.00408333333333333)^360)) / (((1 + 0.00408333333333333)^360) - 1)
P = $679.33
Step 2: Calculation of monthly payment if she purchases 3 points
Typically, each points purchased reduces the interest rate by 0.25%. Since Alana is considering a purchase of 3 points, her new interest rate can then be calculated as follows:
New interest rate = 4.9% - (0.25% * 3) = 4.9% - 0.75% = 4.15%
The monthly payment can also be calculated using the formula for calculating loan amortization as follows:
P3 = (A * (r * (1 + r)^n)) / (((1+r)^n) - 1) .................................... (2)
Where,
P3 = monthly payment if 3 points is purchased = ?
A = Mortgage loan balance = $128,000
r = new monthly interest rate = 4.15% / 12 = 0.0415 / 12 = 0.00345833333333333
n = number of payment months = 30 years * 12 months = 360
Substituting all the figures into equation (2), we have:
P3 = ($128,000 * (0.00345833333333333 * (1 + 0.00345833333333333)^360)) / (((1 + 0.00345833333333333)^360) - 1)
P3 = $622.21
Step 3: Calculation of the amount by which her monthly payment will be lower if she purchases the points
This can be calculated as follows:
Amount of reduction = P - P3 = $679.33 - $622.21 = $57.12
Therefore, the amount by which her monthly payment will be lower if she purchases the points is $57.12.
Answer:
28.87
Step-by-step explanation:
i just did the quiz
I=$24, P=$400, T=2years
Answer:
rate = 24*100/(400*2) = 3%
Step-by-step explanation:
Find the distance between 5 + 4i and 9 + 3i.
Answer:
Distance = √17
Step-by-step explanation:
We are looking for the distance between 5 + 4i and 9 + 3i.
This is as equal to saying we have two points in the plane, whose coordinates are; (5, 4) and (9, 3)
Distance between the 2 points will be;
D = √[(5 - 9)² + (4 - 3)²]
D = √(16 + 1)
D = √17
Need help fast!! Mark brainliest
Alrighty Daniel I think I've figured it out for you. A and B are 55° each, and then C is 70°. Hope I've helped!!
please help
Greater than
Less than
or Equal to
Calculate the composite surface area of the figure !!
find the height of the triangle in which A=192 cm^2
Step-by-step explanation:
one second 12345678910
Please answer A.S.A.P.!!!!
Malcolm is trying a very low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels shown in the following compound inequality:
50 50; Malcolm needs to consume less than 20 grams of carbohydrates or more than 50 grams of carbohydrates.
B) x > 20 and x 30 and x 60; Malcolm needs to consume less than 30 grams of carbohydrates or more than 60 grams of carbohydrates.
Answer:
x > 20 and x < 50; Malcolm needs to consume more than 20 grams of carbohydrates, but less than 50 grams of carbohydrates.
Step-by-step explanation:
Find the distance between the points (6,7) and ( – 3, – 5)
Answer:
(9,12)
Step-by-step explanation:
The Walsh family has 4 children. Ryan is 2 years younger than his older brother Patrick. Kelly is 2 years younger than Ryan. Caroline and Kelly are twins. If Patrick is 12, how old is Caroline?
Answer:
8 years old
Step-by-step explanation:
Pls give brainliest!
Marcos delivers newspapers during his summer break. He delivers a different number of papers each day. What percent of the total number of newspapers is delivered on Saturday and Sunday?
A.
52.5%
B.
105%
C.
40%
D.
32.5%
Answer:
52.2% or A
Step-by-step explanation:
55+50 = 105
105/200 = 0.525
0.525 x 100 (to get the percent) = 52.5%
Answer:
52.5%
Step-by-step explanation:
Add together the number of papers delivered on Saturday and Sunday. Then divide that by the total number of papers delivered.
55+50 = 105
105/200=52.5%
11. $1.44 for 12 pencils
Answer:12 cents per pencil
Step-by-step explanation:
1.44/12
Please help!! If correct, get brainliest!
Answer:
a) <DXC and < CXB are complementary angles
b) Supplementary angles
<AXB and <DXB
<AXC and DXC
Step-by-step explanation:
Complementary angles: Two angles are complementary angles if their sum equals 90°
Supplementary angles: Two angles are Supplementary angles if their sum equals 180°
a) Name a pair of complementary angles
So, <DXC and < CXB are complementary angles
b) Name two Supplementary angles pair
<AXB and <DXB (their sum equals 180°)
<AXC and DXC ((their sum equals 180°))
can someone give me the correct answer to this problem?
what is the LCM of 9 and 15?
Answer:
B
Step-by-step explanation:
15+15=30
30/9=3 r3 doesn't work
30+15=45
45/9=5
If n is an integer and n×10 is a negative number, which of the following statements must be true?
n 0
n = 0
None of the above.
Answer:
N is a negative number, and since you did not provide a clear first option, I will assume the answer is none of the above. However, the accurate answer is n < 0.
Step-by-step explanation:
Hope this helped!
Use the diagram of the volcanic island for problems 16-17
16.Use a negative integer to represent the depth, in feet, of the sea floor.
17.The weight of the volcano depresses the sea floor another 24,300 feet down. What is the total height of the volcano?
please help!!
Answer:
28,000 Ft
Step-by-step explanation:
Answer: 16 is -15700 and 17 28,000
Step-by-step explanation:
Pluto has an average distance from the sun of 3.6 x 10^8 miles venus has an average distance from the sun of 9.0 x 10^6. How many times greater is pluto's average distance from the sun than venus?
Answer:
40 times greater
Step-by-step explanation:
Given the following:
Pluto average distance from the sun Ps = 3.6 x 10^8 miles
venus average distance from the sun Vs = 9.0 x 10^6miles
Take the ratio:
Ps/Vs = 3.6 x 10^8/9.0 x 10^6
Ps/Vs = 0.4*10^{8-6}
Ps/Vs = 0.4*10²
Ps/Vs = 40
Ps = 40Vs
Hence the pluto's average distance from the sun is 40 times greater than that of venus
Can you please help? I’m tired and I have to work on this
Answer:
1) 1/3
2) 1/2
3) 4/1
4) 3/4
5) 2/5, 4/10, 4:10, 4 to 10
6) 3:4, 6/12, 6:12, 6 to 12
7) 3 to 1, 9/3, 9:3, 9 to 3
8) 7/9, 14/18, 14:18, 14 to 18
9)
a) 3/2
b) 3/5
c) 27:18
10) 96 birds visited the feeder
11)
a) nuts row: 3, 6, 9, 12
raisins row: 4, 8, 12, 16
b) 7.5 cups
12)
a) This ratio means that for every 9 boys in the school there are 10 girls
b) 570 students
The pizza shop offers a 15 percent discount for veterans and senior citizens. If the price of a pizza is $12, how would you find the discounted price? without using subtraction
Answer:
$10.2
Step-by-step explanation:
Use this formula:
Price of product after discount = Initial Price * ( 1 - (discount/100) )
What is 2 + 2 + 3 x 4 - 1 x 10 - 6. First on the answer gets brainlist;)
Answer: 19
Step-by-step explanation:
of this data set 56, 57, 57, 58, 59, 60, 60, 60, 62, 64, 64, 66, 67, 67, 67, 68 what's the mean absolute deviation
Answer:
3.625
Step-by-step explanation:
Answer:
62
Step-by-step explanation:
“To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean” you are basically adding all the numbers together and dividing by the amount of numbers there
Hope this helped
1
Triangle ABC can be taken to triangle A'B'C'using rigid motions and a dilation,
Select all the equations that are true,
Answer:
1st, 4th and 5th equationsStep-by-step explanation:
Correct ratios as per diagram are:
1st, 4th and 5th equations2nd and 3rd equations are incorrect as showing incorrect ratios or not corresponding sides.
Answer:
mine is in different order
Step-by-step explanation:
Is 3x - y = -6 an euation for a graph
Answer:
no this can't become a number that can be graphed
Which correctly describes how the graph of the inequality -5x+3y>9
The population of a town is increasing at a constant rate of 4.7% each year. At the beginning of 2010 the population was 42,000. Find the size of the population at the beginning of 2016. Give your answer to 3 sf.
Answer:
The population at the beginning of 2016 is 55,326.
Step-by-step explanation:
Giving the following information:
Population 2010 (PV)= 42,000
Growth rate (g)= 4.7% = 0.047
Number of years (n)= 6 years
To calculate the population at the beginning of 2016, we need to use the following formula:
FV= PV*(1+g)^n
FV= 42,000*(1.047^6)
FV= 55,326
The population at the beginning of 2016 is 55,326.
Chandra bowled five games. Her scores were 89, 97, 112, 104, and 113. What is her mean score for the five games?