28.7251 =
28 degrees
then take the decimal and multiply by 60 to get the minutes
so 0.7251 *60 = 43.506, use the whole number (43)
so now you have 28 degrees, 43 minutes
now take the remaining decimal ( 0.506) and multiply by 60
0.506*60= 30.36
when you have a decimal left over for the seconds, keep that as is.
so you now have 28 degrees, 43 minutes and 30.36 seconds
use ' for minutes and " for seconds
28 degrees 43' 30.36"
Final answer:
To convert 28.7251 degrees to degrees, minutes, and seconds, take the whole number of degrees (28) and multiply the decimals (.7251) by 60 to get the minutes (43). Then multiply the remaining decimal of the minutes (.506) by 60 to get the seconds (30), resulting in 28 degrees, 43 minutes, and 30 seconds (28° 43' 30").
Explanation:
To convert 28.7251 degrees to degrees, minutes, and seconds, you follow a multi-step process which involves converting the decimal part of the degrees into minutes and then into seconds. First, identify the whole number of degrees, which is 28 in this case.
To convert the decimal part (.7251) to minutes, multiply by 60. Using the operation provided in the reference, with 0.7251 × 60, you get 43.506 minutes. The whole number part, 43, is the minutes.
To convert the remaining decimal part of minutes (.506) into seconds, again multiply by 60. This gives you (.506 imes 60) 30.36 seconds, which when rounded to the nearest second is 30 seconds.
Therefore, 28.7251 degrees is equal to 28 degrees, 43 minutes and 30 seconds (28° 43' 30").
Susie and Amelia solved the same equation using two separate methods. Their work is shown in the table below:
Answer:
(C)
Step-by-step explanation:
Explanation of Susie's method:
The given equation is:
[tex]2x-3=4x-2[/tex]
[tex]2x-2x-3=4x-2x-2[/tex]
[tex]-3=2x-2[/tex]
[tex]-3+2=2x[/tex] ( she made a mistake when she subtracted 2)
[tex]-1=2x[/tex]
[tex]x=-\frac{1}{2}[/tex]
Susie made a mistake in step 4 when she subtracted 2,
Thus, option C is correct.
A realty developer sell residential lots fir 4,000 per square meter plus a processing free of 25,000. one of the lots the realty developer is seling cost 625,000.
Which expression represents the area of the shaded triangle?
Answer:
B. [tex]\frac{1}{2}\times (5.7)\times (1.9)[/tex]
Step-by-step explanation:
We have been given an image of a triangle. We are asked to choose the correct option that represents the area of the shaded region.
We know that the area of a triangle is half the product of its height and base.
Upon looking at our given diagram we can that shaded region is in form of triangle and the height of both triangles is 5.7 meters. We can also see that the base of shaded triangle is 1.9 meters.
[tex]\text{Area of triangle}=\frac{1}{2}\times (\text{Height *Base})[/tex]
[tex]\text{Area of shaded region}=\frac{1}{2}\times (5.7)\times (1.9)[/tex]
Therefore, option B is the correct choice.
Answer:
b.
Step-by-step explanation:
The product of three and a number is thirty-three. What is the number? N = 11 N = 30 N = 36
Answer:
Step-by-step explanation:
N=11
What is the length of chord AB ?
A. 5.8 ft
B. 5.5 ft
C. 6.1 ft
D. 6.25 ft
Eduardo bought a refrigerator with a sticker price of $2400. If he paid $35 a week for two years, what was the approximate markup rate on the refrigerator?
A. 65.9%
B. 51.7%
C. 34.1%
D. 75.8%
Answer:
The correct answer is option B
Step-by-step explanation:
Payment done per week [tex]= 35 dollar\\[/tex]
Total number of weeks in a year [tex]= 52 weeks\\[/tex]
Total number of weeks in two year [tex]= 104 weeks\\[/tex]
Total amount paid in two weeks
[tex]= 35 * 104\\=3,640\\[/tex]
The make up rate is basically the amount paid over and above $2400
[tex]=(\frac{3640 - 2400}{2400} ) * 100\\= 51. 7 perecent[/tex]
You have $50 in your savings account.Each week you deposit $5 in your account. Write an expression that models the situation.
(06.02)The graph shows the number of weeks a movie has been in theaters and the number of tickets sold each week
Which statement best describes the relationship between the number of weeks a movie has been in theaters and the number of tickets sold?
As the number of weeks increases, the number of tickets sold decreases.
As the number of weeks increases, the number of tickets sold increases.
As the number of weeks decreases, the number of tickets sold decreases.
No relationship can be determined.
As the number of weeks increases, the number of tickets sold decreases so option (A) will be correct.
What is a graph?The link between lines and points is described by a graph, which is a diagrammatic representation of a network. A graph is made up of some points and the distance between two.
In another word, graph is geometrical relation of the analytical variable.
For example to draw the equation y = 6x +8 this will draw a straight line in the coordinate geometry.
In the given question it is clearly visible that as the weeks in theater are increasing the points are going down on the y-axis which is tickets sold.
As the number of weeks increases, the number of tickets sold decreases hence option (A) will be correct.
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Find the center and radius of a circle defined by the equation x^2+yy^2+4x-8y+13=0
Why is sin(20) = sin(160) = -sin(200) = -sin(340)?
Answer:
see.
Step-by-step explanation:
The value of sin is the same at the same distance from the cuadrant limit of the point. For the case of 20°, we have that the sin is the same in the following case:
As 20 is positive we use the limit cuadrant at 90°. The distance of 20 to 90 is 70. So, sin(20)=sin(90+70)=sin(160).
Also we have that sin(x) is a odd function, so sin(-x)=-sin(x), so
sin(-20°)= -sin(20°)
-sin(-20°)=sin(20°)
-sin(340°)=sin(20°).
and,
sin(-160°)=-sin(160°)
-sin(-160°)=sin(160°)
-sin(200°)=sin(160°)=sin(20°).
Solve for x: 3/4x+5/8=4x
Is it possible for one point to be in two different planes?
Yes, it is possible for one point to be in two different planes. Imagine this: take the point in the corner of a room. That point is part of 3 planes (both walls and the floor).
To add, in mathematics, a plane is a flat, two-dimensional surface.
Answer:
Yes, it is possible for one point to be in two different Planes.
This can be explained in following way.
The Intersection of two plane is a line.And on a line infinite number of point lies.
So,"yes" one point or Infinite number of points can be common between two different planes.
PLEASEEEEE HELPPPP ASAP NEED TO GET RIGHT!!!! WILL GIVE THANKS
Simplify 7x + (x – 4)(x + 5) – 5x.
Answer:
x^2 + 3x – 20
Step-by-step explanation:
I just did the assignment
Which statement is true about the equations –3x + 4y = 12 and x – y = 1? The system of the equations has exactly one solution at (–8, 3). The system of the equations has exactly one solution at (–4, 3). The system of the equations has no solution; the two lines are parallel. The system of the equations has an infinite number of solutions represented by either equation.
The system of equations has exactly one solution, but it is located at (16,15), not (–8, 3), (–4, 3) or any other points. So, none of the provided options are true.
Explanation:The task is to identify the statement that is correct about the system of equations –3x + 4y = 12 and x – y = 1. To discover this, we must solve the system which consists of these two linear equations. Adjust equation two to be in the same format as equation one by adding y to both sides which gives x = y + 1. Substitute it into the first equation: -3(y + 1) + 4y = 12, which simplifies to -3y - 3 + 4y = 12, giving y = 15. Substitute y = 15 to the second equation, it gives us x = 16. Hence, none of the provided solutions is correct, because the system has exactly one solution at (16,15).
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What is the answer to this?
Line GJ is tangent to point A at point G.
What is m∠AGJ?
Bao Yu is completing the square to solve the polynomial equation.
x2 – x – 3 = 0
What should be her first step?
adding –x to both sides of the equation
adding –3 to both sides of the equation
isolating the first term, x2
isolating the constant, –3
Solution:
The square of the given equation can be completed as below:
Here we will make the terms on left hand side such that it gets the form of [tex]a^2\pm2ab+b^2=(a\pm b)^2[/tex]
[tex]x^2-x-3=0\\\\\text{Isolate the constant}\\\\x^2-x=3\\\\x^2-2\times\frac{1}{2}\times x +\frac{1}{2}^2=3+ \frac{1}{2}^2\\\\(x-\frac{1}{2})^2=\frac{13}{4}\\[/tex]
Hence the correct option is isolating the constant , -3.
The polynomial equation x^2 – x – 3 = 0 is a quadratic equation, and the first step in completing the square is (d) isolating the constant, –3
What are polynomials?Polynomials are expressions that are represented with variables and coefficients
Below are the steps taken to determine Bao Yu's first step
The equation is given as:
x^2 – x – 3 = 0
Isolate the constant -3 in the equation.
So, we have:
x^2 – x = 3
Hence, the first step in completing the square is (d) isolating the constant, –3
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Solve log 6 60 - log 6 30
A.) 2
B.) log 6 2
C.) 5
D.) log 6 30
Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F + G) (2) =
Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F - G) (6) =
Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F G) (2) =
Answer with Step-by-step explanation:
F = {(0, 1), (2, 4), (4, 6), (6, 8)}
G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F+G)(2)=F(2)+G(2)
= 4+5
= 9
F = {(0, 1), (2, 4), (4, 6), (6, 8)}
G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F - G) (6) =F(6)-G(6)
=8-9
=-1
F = {(0, 1), (2, 4), (4, 6), (6, 8)}
G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F.G) (2) =F(2).G(2)
= 4×5
= 20
Tuna provides 30 calories per ounce . On a graph representing the relationship between the number of ounces of tuna a person consumes and the number of calories the tuna provides which quantity should be graphed on the x-axis
Answer:
Ounces of tuna will go on the x axis and calories on the y axis. This is because the relationship between the number of ounces a person eats and the calories he consumes then is a positive correlation (a line with a positive slope which goes from lower left to upper right) with x being the independent variable. As x increases, y increases. In other words you can ONLY change the amount of calories you consume WHEN you change the amount of ounces you eat. You can't change the number of calories independent of the number of ounces. The independent variable goes along the x axis, cuz the x variable always represents the independent variable.
Step-by-step explanation:
anna owes home antiques Whose value is 160000 today assuming normal growth. however anna believes the value will grow at 16% per year for the next three years she wants to take this rapis growth ibto consideration when valuing the buisness for potential sale find the future value of the buisness in three years then use that future value to find the present value at a rate 8% compounded annually
A company performs linear regressions to compare data sets of two similar products. If the residuals for brand A form an increasing curve, and the residuals for brand B form a U-shaped pattern, what can be concluded?
A. Brand A's data are probably linear, while brand B's data are probably not. B.Neither data is likely to be linear.
C.Both data sets are probably linear.
D.Brand B's data are probably linear, while brand A's data are probably not.
Brand A's data are probably linear, while brand B's data are probably not.
What can be concluded from a graph?A graph shows how much a set of data fits into a pattern. This data is defined by the regression line.
Now, when we have the graph for brand A as an increasing curve, and the residuals for brand B form a U-shaped pattern, we can conclude that Brand A's data are probably linear, while brand B's data are probably not.
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a pizza delivery shop averages 21 minutes per delivery with a standard deviation of 3 minutes. what is the probability that a pizza takes less than 15 minutes to be delivered?
We have the mean, μ = 21 and the standard deviation, σ = 3
We want P(X<15)
Standardizing gives:
P(X<15) = P(Z<(15-21)/3)
P(X<15) = P(Z< -2) ⇒ When the value of the z-score is negative, we will
read the value of z<2 on the z-table then subtract the answer from 1
P(X<15) = 1 - P(Z<2)
P(X<15) = 1 - 0.9772
P(X<15) = 0.0228
the probability that pizza takes less than 15 minutes to be delivered is 0.0228
= 2.28%
Round answer as needed
A rocket is launched into the air. The projectile motion of the rocket can be modeled using h(t) = 112t –16t2, where t is the time since launch in seconds and h(t) is the height of the rocket at time t. When will the rocket be 196 feet in the air?
A.) after 2.0 seconds
B.) after 3.5 seconds
C.) after 4.5 seconds
D.) after 7.0 seconds
*The answer is B, after 3.5 seconds. If anyone wants to properly explain how this is the correct answer, I will give you brainliest.*
.
h ( t ) = 112 t - 16 t²
When the rocket is 196 feet in the air:
196 = 112 t - 16 t²
16 t² - 112 t + 196 = 0
divide everything by 4 ( just makes numbers smaller and easier to work with)
4 t² - 28 t + 49 = 0
Now factor the equation:
( 2 t - 7 )² = 0
2 t - 7 = 0
2 t = 7
t = 7 : 2
t =
3.5 s
The rocket will be 196 feet in the air after 3.5 seconds.
Write the interval (3,20] as an inequality and using set notation
The odds that you will pick a heart from a standard deck of 52 cards is 13:39. TRUE or FALSE
the odds of picking a heart is 13:39.
the statement is TRUE.
To determine whether the statement is true or false, we need to calculate the odds of picking a heart from a standard deck of 52 cards and compare it to the given odds of 13:39.
Step 1: Calculate the number of hearts in a standard deck.
A standard deck of 52 cards contains 13 hearts.
Step 2: Calculate the total number of cards in the deck.
A standard deck of 52 cards contains 52 cards.
Step 3: Calculate the odds of picking a heart.
The odds of picking a heart can be expressed as the ratio of the number of favorable outcomes (hearts) to the number of unfavorable outcomes (non-hearts).
Number of hearts: 13
Number of non-hearts: 52 - 13 = 39
So, the odds of picking a heart is 13:39.
Now, let's compare the calculated odds (13:39) with the given odds (13:39).
Since the calculated odds match the given odds, the statement is TRUE.
If you were to add all odd numbers between 1 and 11 (both inclusive), the result would be
Final answer:
By adding all the odd numbers from 1 to 11 inclusive (1, 3, 5, 7, 9, 11), the sum is 36.
Explanation:
If you were to add all odd numbers between 1 and 11 (both inclusive), the odd numbers are: 1, 3, 5, 7, 9, and 11. To find the result of adding these numbers together, you simply add each one sequentially:
1 + 3 = 4
4 + 5 = 9
9 + 7 = 16
16 + 9 = 25
25 + 11 = 36
So, the result of adding all the odd numbers from 1 to 11 inclusive is 36.
A cone-shaped hat is shown:
A cone is shown with slant height 18 cm and radius 5.7 cm. The unknown height is labeled with a question mark, and the line joining the tip of the cone to the base is perpendicular to the base.
What is the approximate height of the hat?
3.51 centimeters, because height = Square root of the difference of 18 and 5.7
17.07 centimeters, because height = Square root of the difference of the squares of 18 and 5.7
18.88 centimeters, because height = Square root of the sum of the squares of 18 and 5.7
4.87 centimeters, because height = Square root of the sum of 18 and 5.7
Answer:
B. 17.07 centimeters, because height = Square root of the difference of the squares of 18 and 5.7.
Step-by-step explanation:
The formula of height (h) of a cone is: [tex]h=\sqrt{l^2-r^2}[/tex], where,
[tex]l[/tex] = Slant height of cone,
[tex]r[/tex] = Radius of cone.
Upon substituting slant height = 18 cm and radius = 5.7 cm, we will get,
[tex]h=\sqrt{(18)^2-(5.7)^2}[/tex]
[tex]h=\sqrt{324-32.49}[/tex]
[tex]h=\sqrt{291.51}[/tex]
[tex]h=17.0736639301586348\approx 17.07[/tex]
Therefore, the height of cone is 17.07 cm and option B is the correct choice.
3. Suppose e and f are real numbers where e>0 and f<0.
(a) Is -e+f positive or negative. Explain how you know.
(b) Is e-f positive or negative? Explain how you know.
(c) Is f-e positive or negative. Explain how you know.