Answers
Answer:
Step-by-step explanation:
You have to use the Law of Cosines here to solve for C. For us the equation will take on the form
[tex]c^2=a^2+b^2-2abcosC[/tex] for which we have all the values except C. Filling in:
[tex]12^2=28^2+18^2-2(28)(18)cosC[/tex] which will simplify to
144 = 784 + 324 - 1008cosC. Simplify a bit more to
144 = 1108 - 1008cosC. Subtract 1108 from both sides to get
-964 = -1008cosC. Divide both sides by -1008 to get
.9563492063 = cosC
Press the 2nd button and then the cos button on your calculator. You should see this on your screen:
[tex]cos^{-1}([/tex]
After that open parenthesis, enter that long decimal and hit "enter". You should get that your angle is 16.99 which I imagine you would round to 17, which is choice D. If you did not get 16.99 but you got .29655, you are in radian mode and you need to be in degree mode. Hit "mode" and change it with your arrow key and hit "enter" and it's changed!
Related Questions
An insurance company is trying to determine the number of phone calls made weekly while driving. Which best describes the population?
Answers
Answer: Taking a poll of how many calls someone took anonymously and randomly choose 100 people
Step-by-step explanation:
Answer:
licensed drivers who own cell phones
Step-by-step explanation:
licensed drivers who own cell phones
Which statement is true
Answers
Answer:
C
Step-by-step explanation:
in order of containment it goes
Quadrilaterals
Parallelograms and trapezoids
kites rhombuses and rectangles
squares
Answer:
Hey there!
All parallelograms are four sided shapes, also called quadrilaterals.
Hope this helps :)
Which set of angle measures could be the interior angles of a triangle? Explain why 1) 90°, 90°,90° 2)80°,80°,200° 3)40°,50°,60° 4)15°,30°,135°
Answers
Answer: option 4) 15°, 30°, 135°
Step-by-step explanation: because the triangle angle rule says that all the intererior angles of the triangle sum upto 180° always
Answer:
4) 15°,30°,135°
Step-by-step explanation:
The interior angles of a triangle will add up to 180°, so we have to choose an answer choice with angles that all add up to 180.
Answer #4 is correct because 15 + 30 + 135 = 180.
20 POINTS!!! On the following graph F(-5)=?
Answers
Answer:
7
Step-by-step explanation:
Length: 4 - 7(3x + 4y)
Width: 3x(-2y)
Write a simplified expression for the perimeter of the rectangle.
___ - x - ___y - ___xy
Answers
If f(x)=x and g(x) =2, what is (f•g)(x)
Answers
Answer:
c
Step-by-step explanation:
Having some problems with this
Answers
Answer: C) 5
Step-by-step explanation:
First let's distribute the left side of the equation.
2/3a - 9 1/3 = -3(a-3)
Then let's distribute the right side of the equation.
2/3a - 9 1/3 = -3a + 9
Then let's move all the a's to one side, and all the constants to the other.
3 2/3a = 18 1/3
Then divide both sides of the equation by 3 2/3.
a = 5
Hope it helps <3
5x + y = 2
2x-3y = 62
Answers
Hey there! :)
Answer:
x = 4, y = -18 or (4, -18).
Step-by-step explanation:
Given:
5x + y = 2
2x - 3y = 62
We can use substitution to solve this problem. Rearrange the first equation in terms of y:
5x + y = 2 ---> y = -5x + 2
Substitute in this equation for y into the second equation:
2x - 3(-5x + 2) = 62
Distribute -3:
2x + 15x - 6 = 62
Combine like terms:
17x - 6 = 62
Add 6 to both sides:
17x = 68
Divide both sides by 17:
x = 4.
Plug in this value for x into an equation to solve for y:
5(4) + y = 2
20 + y = 2
y = -18.
Therefore, the solutions to this system of equations are:
x = 4, y = -18 or (4, -18).
Hello i need some help
Answers
Answer:
y = 2x - 1
Step-by-step explanation:
(3, 5) (5, 9)
slope = (9-5)/(5-3) = 4/2 = 2
y = mx + b
5 = 2(3) + b
-1 = b
y = 2x -1
Answer:
f(x)=2x-1; y=2x-1
Step-by-step explanation:
First we need to find the slope and to do so you use the equation [tex]\frac{y_{1} -y_{2}}{x_{1}-x_{2}}[/tex] .
Plugging in for the values we get (9-5)/(5-3)=4/2=2, which means we have a slope of 2.
Now we just have to find the y-intercept, and to do this we multiply the x-value by the slope (2) and see what we have to add to that to get the y-value.
For example, 5*2=10, 10-1=9, so -1 is our y-intercept.
This means our equation in slope-intercept form is y=2x-1 and in function form is f(x)=2x-1
Solve for x 4x−2=3x+4
Answers
Answer:
x=6
Step-by-step explanation:
Answer:
x = 6
hope this helps!
y
10
1
B(7,9)
Create a rectangle around the parallelogram. The
dimensions of this rectangle are
Find the area of the four right triangles surrounding the
parallelogram. The total area of the triangles is
square units
Subtract the triangle areas from the area of the
rectangle to obtain the area of the parallelogram. The
area of parallelogram ABCD is square units.
6
2
-10
6
-6
A-3,-1)
-2
10
C(8, -1)
D(-2,-11)
Answers
Answer:
rectangle: 11 × 20triangle area: 110 u²parallelogram area: 110 u²Step-by-step explanation:
See below for a graph showing the parallelogram and the rectangle.
The dimensions of the rectangle are 11 by 20. The rectangle area is ...
rectangle area = bh = (11)(20) = 220 . . . square units
There are 2 right triangles with a base of 10 and a height of 1. There are 2 right triangles with a base of 10 and a height of 10. The total area of the triangles is ...
triangle area = 2(1/2)(10)(1) +2(1/2)(10)(10) = 10(1 +10) = 110 . . . square units
The area of the parallelogram is the difference of these, ...
parallelogram area = rectangle area - triangle area
= (220 units²) -(110 units²) = 110 units²
The area of parallelogram ABCD is 110 square units.
_____
Check
The parallelogram has a base of 10√2 and a height of 5.5√2, so an area of (10√2)(5.5√2) = 110 square units. This matches the above result.
Answer:
1) 11 by 20 2) 110 3) 110 correct on edg
Step-by-step explanation:
Create a rectangle around the parallelogram. The dimensions of this rectangle are
11 by 20
Find the area of the four right triangles surrounding the parallelogram. The total area of the triangles is
110 square units.
Subtract the triangle areas from the area of the rectangle to obtain the area of the parallelogram. The area of parallelogram ABCD is
110 square units.
I’m really not sure what the answer to this question is, can anyone help?
Answers
Answer:
25(sqrt(2)+1)
Some explanation:
The exact form is 25*sqrt(2) + 25.
If we divide by 25, we are left with sqrt(2) + 1.
So 25(sqrt(2) + 1) is the correct answer.
Hope that helps a little!
Find the equation of the line through point (−7,2) and parallel to y=25x−12. Use a forward slash (i.e. "/") for fractions (e.g. 1/2.
Answers
parallel line so gradient stays the same at 25x
y=25x+c
substitute in the point
-7= 25(2) +c
-7 = 50 + c
(-7)-50= -57
y=25x-57
hope this helps!
The equation of the line in slope intercept form is y = 25x + 177.
What is equation of a line?The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.
For the given situation,
The equation is y = 25x−12 -------- (1)
The point is (−7,2)
The general form of equation of line in slope intercept form is
[tex]y=mx+c[/tex]
On comparing this equation with equation, we get
slope, m = 25
The given line is parallel to the equation of line, so slope is same.
The line passes through the point (x1, y1) is (−7,2).
Thus the equation of line in slope intercept form is
[tex]y-y1=m(x-x1)[/tex]
⇒ [tex]y-2=25(x-(-7))[/tex]
⇒ [tex]y-2=25(x+7)[/tex]
⇒ [tex]y-2=25x+175[/tex]
⇒ [tex]y=25x+175+2[/tex]
⇒ [tex]y=25x+177[/tex]
Hence we can conclude that the equation of the line in slope intercept form is y = 25x + 177.
Learn more about equation of line here
https://brainly.com/question/19546232
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Monica bought a car for $x 3 years ago. Due to an inflation rate of 6% p.a. this car is now worth Mexican peso 50,000. Calculate the cat's original purchase price
Answers
Answer:
its 60198.6
Step-by-step explanation:
use the formula present price=orginal price(1-rate/100)^years
You Identify the ratio of the average number of bass to the averg
Answers
Answer:
Step-by-step explanation:
Using six random samples, the average number of catfish in the samples was 5.7
Answer:
Uhhhh......Hi??
Solve for x 4x+8=6x−1 Give your answer as an improper fraction in its simplest form.
Answers
Answer:
Step-by-step explanation:
4x+8=6x-1
-4x . =-4x .
8 = 2x-1
-1+8=2x-1+1
7=2x
7/2= 2x/2
3.5=x
The value of x will be;
⇒ x = 9/2
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 4x + 8 = 6x - 1
Now,
Solve the expression for x as;
⇒ 4x + 8 = 6x - 1
Subtract 6x both side, we get;
⇒ 4x + 8 - 6x = 6x - 1 - 6x
⇒ - 2x + 8 = - 1
Subtract 8 both side,
⇒ - 2x = - 1 - 8
⇒ - 2x = - 9
Divide by - 2 as;
⇒ x = 9/2
Thus, The value of x will be;
⇒ x = 9/2
Learn more about the mathematical expression visit:
brainly.com/question/1859113
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An archeologist in Turkey discovers a spear head that contains 27% of its original amount of C-14
Answers
Answer:
it is 13093 i got it correct
Forest fires are most likely to occur when the air temperature (t) is greater than 60°F.
Write an inequality for the situation.
please help me asap!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The temperature (t) needs to be greater than 60
So you would have t > 60
Answer:
t > 60
Explanation:
In order to answer this question we must determine two things: what two terms will be compared in the inequality and what symbol we will use to compare them. Let's start by finding, 'what two terms will be compared.'
Read the following quote from the problem...
"Forest fires are most likely to occur when the air temperature (t) is greater than 60°F."
Since the temperature (t) must be greater than sixty degrees to start a forest fire, these are the two terms that we will be comparing in the inequality.
Now, let's find out what symbol we will use to compare the terms.
Because the problem uses the phrase "greater than" to represent the comparison between the temperature of the air and an average of sixty degrees, the symbol we will be using in the inequality is the greater than sign, >.
Finally, use all the facts we have established to write the inequality.
· t = air temperature
· > = greater than
· 60 = max temp. before forest fire occurs
Therefore, the inequality for the solution is t > 60.
Khairul agrees to lay a road 3000m long in 30 days. He employs 50 men,who works for 8 hours a day .After 20 working days, he finds that only 1200 m of the road is completed. Each man now works for 10 hours a day and they have to finish the project in 10 days' time. So , Khairul decides to employ more men to work on the project. How many more men are to be employed to finish the work on time?
Answers
Answer:
10 more men
Step-by-step explanation:
1.5 road made per man
The Guzman family lives 240 miles from Mexico City. If the Guzmans travel in
their car at 60 miles per hour, how long does it take for them to get to Mexico
Answers
Answer:
4 hours
Step-by-step explanation:
To find the time it takes to travel the distance, divide the distance by the speed they are going.
(240 miles)/(60 miles per hour) = 4 hours
It will take them 4 hours.
Answer:Answer:
4 hours
Step-by-step explanation:
To find the time it takes to travel the distance, divide the distance by the speed they are going.
(240 miles)/(60 miles per hour) = 4 hours
It will take them 4 hours.
Step-by-step explanation:
The width of a rectanglular solid is twice the height of the solid, the height of the solid is twice the length of the solid. If x is the length of the solid, what is the surface area in terms of x?
Answers
Answer:
28x^2
Step-by-step explanation:
Set variables:
Width = w
Length = x
Height = h
Set Equation:
w = 2h = 4x
h = 2x
x=x
Now that we have the terms in terms of x, we can find surface area.
We find the first three then multiply answer by 2, because there are 6 sides.
w*h -> first side
w*x -> second side
h*x -> third side
Set them in terms of x:
4x*2x = 8x^2
4x*x = 4x^2
2x*x = 2x^2
Add them and get: 14x^2
Wait, you need to multiply them by 2 and get: 28x^2
Answer: The answer is in the photo I really hope it’s right
Step-by-step explanation: I don’t need a brainly(I’m joking)
Hahahaha I know it’s not the best
please help me solve
Answers
Answer:
cD /100
Step-by-step explanation:
Change the percent to a fraction
c% = c/100
Multiply by the sale
D * c/100
cD /100
Factor 28+56t+28w28+56t+28w28, plus, 56, t, plus, 28, w to identify the equivalent expressions. Choose 2 answers:
Answers
Answer: The factorization of [tex]28+56t+28w[/tex] [tex]=28(1+2t+w)[/tex]
The factors of [tex]28+56t+28w[/tex] are 28 and 1+2t+w.
Step-by-step explanation:
The given expression : [tex]28+56t+28w[/tex]
To factorize it, we need to find the common factor.
As 56 can be written as 2 x 28.
So, the above expression would become
[tex]28+2\times28t+28w[/tex]
Now, taking 28 as common from all the terms, we will get
[tex]28(1+2t+w)[/tex]
Thus, the factorization of [tex]28+56t+28w[/tex] [tex]=28(1+2t+w)[/tex]
And the factors of [tex]28+56t+28w[/tex] are 28 and 1+2t+w.
Answer:
b&d
Step-by-step explanation:
i did khan on it and got it right
I've got no clue how to do this.
Answers
Answer:
×-10×+21=0
FACTORIZATION of splitting the middle term
true or false:
If ab>0 then a>0 and b>0.
Answers
Answer:
false
Step-by-step explanation:
because a<0 and b<0 then ab>0
Answer:
False
Step-by-step explanation:
You don't know what a or b is for example it could be a=-3 b=-4. In that case ab= 12 but a and b indavidually are less than zero making this statment false
Which of the following is a set in correct set notation?(1,2,3){4,5,6} the letters of the alphabet 7,8,9
Answers
Answer: {4,5,6}
Step-by-step explanation: Sets could be explained as a representation of elements which could be numbers, alphabets or a collection of items which are wrapped inside a curly bracket {}. Generally in mathematical or statistical parlance, once elements are wrapped around curly braces, the collection of those emmts is called a set. And therefore, set arithmetic such as union, intersection, complement e.t.c can be performed on elements of the given set. Elements wrapped in curly braces signifies that the elements reperesents an entire entity.
In the question given above, {7,8,9} reperesents a set containing three elements : 7, 8,9.
Tim is investigating the relationship between the number of years since a tree was planted and the height of the tree in feet. His data are shown in the table.
Years Since Tree was Planted vs. Height of Tree
Years since tree was planted, x
Height of tree in feet, y
2
17
3
25
5
42
6
47
7
54
9
69
Using a regression calculator, what is a good prediction for the height of the tree when it is 100 years old?
A calculator screen. A 2-column table with 6 rows titled Data. Column 1 is labeled x with entries 2, 3, 5, 6, 7, 9. Column 2 is labeled y with entries 17, 25, 42, 47, 54, 69. The regression equation is y almost-equals 7.36 x + 3.08; r almost-equals 0.998.
A good prediction for the height of the tree when it is 100 years old is about 315 feet because that is what the trend line, y almost-equals 3.08 x + 7.36, produced by the regression calculator predicts.
A good prediction for the height of the tree when it is 100 years old is about 739 feet because that is what the trend line, y almost-equals 7.36 x + 3.08, produced by the regression calculator predicts.
There is not a good prediction for the height of the tree when it is 100 years old because the trend line produced by the regression calculator does not give a prediction.
There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.
Answers
Answer: There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.
Step-by-step explanation:
Years since tree was planted (x) - - - - height (y)
2 - - - - 17
3 - - - - 25
5 - - - 42
6 - - - - 47
7 - - - 54
9 - - - 69
Using a regression calculator :
The height of tree can be modeled by the equation : ŷ = 7.36X + 3.08
With y being the predicted variable; 7.36 being the slope and 3.08 as the intercept.
X is the independent variable which is used in calculating the value of y.
Predicted height when years since tree was planted(x) = 100
ŷ = 7.36X + 3.08
ŷ = 7.36(100) + 3.08
y = 736 + 3.08
y = 739.08
Forward prediction of 100 years produced by the trendline would probably give an invalid value because the trendline only models a range of 9 years prediction. However, a linear regression equation isn't the best for making prediction that far in into the future.
Answer:
D
Step-by-step explanation:
There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.
WILL GIVE BRAINLIEST AND 21 POINTS! Calculate the area of the triangle: A =
Answers
Answer:
area: 27
Step-by-step explanation:
Sides: a = 10.296 b = 14.213 c = 6
The calculation of the triangle progress in two phases. The first phase is such that we try to calculate all three sides of the triangle from the input parameters. The first phase is different for the different triangles query entered. The second phase is the calculation of other characteristics of the triangle, such as angles, area, perimeter, heights, the center of gravity, circle radii, etc. Some input data also results in two to three correct triangle solutions (e.g., if the specified triangle area and two sides - typically resulting in both acute and obtuse) triangle).
PLSSS answer ASAPP plss which statement is true regarding the graphed functions ?
f(0) = 2 and g(-2) = 0
f(0) = 4 and 9(-2) - 4
f(2)= 0 and g(-2) = 0
f(-2) = 0 and g(-2) = 0
Answers
Answer:
f(2)= 0 and g(-2) = 0 is the answer
Step-by-step explanation:
if im seeing this correctly, this is the answer because the bottom end of g(x) is (-2,0) the real coordinates and the bottom end of f(x) the coordinates are (2,0). and the way im seeing this is g(x)=g(-2)=0 and the 0 would =y
f(x)=(2) and once again y=0
so the third option is the answer if im seeing this correctly.
f(2)=0 and g(-2)=0
Christine had a six sided dice numbered from 1 to 6. she rolled it a total of 50 times. it landed on a odd number 21 times. ( A ) work out the relative frequency of the dice landing on an odd number. give you answer as a decimal. ( B ) if the dice were fair what would the theoretical probability of it landing on a odd number be give your answer as a decimal. ( C ) is the dice definitely biased or is it impossible to tell write a sentence to explain your answer get brainly plz help
Answers
A) Relative frequency is number of times an event happened over total number of events:
Answer is 21/50 = 0.42
B) On a 6 sides die, there are 3 even numbers and 3 odd numbers, so the theoretical probability of landing on odd would be 3/6 = 0.50
C) Because the die has an equal amount of chance landing on even or odd, both are 3/6, then the dice is not biased.