Answers
Answer:
73.40°
Given a right angle triangle.
Solve the missing angle using cosine rule.
[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]
Here given:
adjacent: 2
hypotenuse: 7
angle: x
Solve:
[tex]\rightarrow \sf cos(x) = \dfrac{2}{7}[/tex]
[tex]\rightarrow \sf x = cos^{-1}(\dfrac{2}{7})[/tex]
[tex]\rightarrow \sf x =73 .40^ \circ \:[/tex]
Related Questions
In a cafe, there are 5 women, 4 men, and 2 employees. Write the following reports:
a) between women and men
b) between men and employees
c) between customers and employees
d) between women and the total number of people in the cafe
e) between men, employees and women
Answers
Which of these numbers are relatively prime to 51? Select all that apply. da) 84 Ob) 70 Oc) 62 0d) 30
Answers
Answer:
b) 70
c) 62
Step-by-step explanation:
Numbers are relatively prime when they have no factors in common.
__
The factors of 51 are ...
51 = 3×17
The factors of the other numbers are ...
84 = 2²×3×7 . . . . . has a factor of 3 in common with 51
70 = 2×5×7 . . . . . . no factors in common
62 = 2×31 . . . . . . . no factors in common
30 = 2×3×5 . . . . . has a factor of 3 in common with 51
The numbers 70 and 62 are relatively prime to 51.
Convert the degree measure to radian measure as a multiple of pi and as a decimal rounded to three decimal places.
Answers
Step-by-step explanation:
remember, 360° (the full circle) = 2pi
a)
60° = 60/360 × 2pi = 2pi/6 = pi/3 = 1/3 × pi =
= 1.047197551... ≈ 1.047
b)
210° = 210/360 × 2pi = 210/180 × pi = 7/6 × pi =
= 3.665191429... ≈ 3.665
c)
225° = 225/360 × 2pi = 225/180 × pi = 45/36 × pi =
= 5/4 × pi = 3.926990817... ≈ 3.927
d)
120° = 120/360 × 2pi = 2pi/3 = 2/3 × pi =
= 2.094395102... ≈ 2.094
PLEASE HELP ME I NEED HELP
Answers
Answer:
5x + 7y = 37
Step-by-step explanation:
I hope it is the answer
Conic sections provide a format that makes them fairly uncomplicated to draw manually. The true sense
of mastery is to take a graph of a conic section and develop the equation
Your job is to simply come up with the equations for the two
graphs.
Answers
The equation of the ellipse will be (x - 5)² / 16 + (y + 7)² / 64 = 1 and the equation of the hyperbola will be (x + 1)² / 4 - (y)² / 64 = 1.
What is an ellipse?Ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called foci adds up to a constant. It is taken from the cone by cutting it at an angle.
What is a hyperbola?The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.
Conic sections provide a format that makes them fairly uncomplicated to draw manually.
Then the equation of the ellipse will be
(x - 5)² / 16 + (y + 7)² / 64 = 1
Then the equation of the hyperbola will be
(x + 1)² / 4 - (y)² / 64 = 1
The graphs are given below.
More about the ellipse and hyperbola link is given below.
https://brainly.com/question/14104652
#SPJ1
Which of the following are always congruent?
Answers
Answer:
B. Vertical angles
Step-by-step explanation:
What is the volume of the bookend?
“See image” I CANT FIGURE THIS OUT
(Hint: The volume of a rectangular prism is the product of its length, width, and height.)
A.
B.
C.
D.
Answers
Answer:
(573+9/2 cubic inches
Step-by-step explanation:
the answer is A
Rita reads 48 chapters of a book in 6 hours.
What is her rate in chapters per hour?
Answers
Answer:
To find Rita's rate per hour, all you have to do is divide 48/6 which 8. This means that Rita reads 8 books per hour
Step-by-step explanation:
Find the area of the shapes below. Make sure to label your answers with units.
Answers
Square: 57.4 Why: 7x8.2 which equals 57.4
Figure a: The area of the triangle is 13.3 sq. km.
Figure b: The area of the rectangle is 57.4 sq. cm.
Figure c: The area of the parallelogram is 45.5 sq. km.
Figure d: The area of the trapezoid is 24.36 sq. m.
What is the area of a two-dimensional figure?The area of a two-dimensional closed figure is the total space within its boundary.
How to solve the question?In the question, we are asked to find the area of the given shapes.
Figure a:-
It is showing a triangle.
The area of a triangle is calculated using the formula:
Area = (1/2)*Base*Height.
Thus, the area of the triangle
= (1/2)*7*3.8 sq. km
= 13.3 sq. km.
Figure b:-
It is showing a rectangle.
The area of a rectangle is calculated using the formula:
Area = Length*Width.
Thus, the area of the rectangle
= 8.2*7 sq. cm
= 57.4 sq. cm.
Figure c:-
It is showing a parallelogram.
The area of a parallelogram is calculated using the formula:
Area = Base*Height.
Thus, the area of the parallelogram
= 9.1 * 5 sq. km
= 45.5 sq. km.
Figure d:-
It is showing a trapezoid.
The area of a trapezoid is calculated using the formula:
Area = (1/2)*(Sum of parallel sides)*(height).
Thus, the area of the trapezoid
= (1/2)*(2.7 + 8.9)*4.2 sq. m.
= 11.6 * 2.1 sq. m.
= 24.36 sq. m.
Learn more about the area of figures at
https://brainly.com/question/884576
#SPJ2
Michiko is selling raffle tickets to raise money for the school band. The odds against winning a prize in the raffle are 13:1. What is the probability of winning a prize? Express your answer as a decimal. If necessary, round your answer to the nearest thousandth.
0.929
14
0.071
0.077
Answers
The probability of winning a prize is 0.929 if Michiko is selling raffle tickets to raise money for the school band. The odds against winning a prize in the raffle are 13:1 option first is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
The odds against winning a prize in the raffle are 13:1
This means 13 to 1 odds for winning:
The probability of winning a prize:
Winning = 13/(13+1) = 0.929 or
=92.8571%
Losing = 1 - 0.9286 = (0.0714) or
=7.14%
Thus, the probability of winning a prize is 0.929 if Michiko is selling raffle tickets to raise money for the school band. The odds against winning a prize in the raffle are 13:1 option first is correct.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ1
Answer:
0.071
Step-by-step explanation:
If the odds against winning a prize are 13:1, then the odds in favor of winning a prize are 1:13.
A line passes through the point (-2, -9) and has a slope of 8
Answers
Step-by-step explanation:
[tex]y - y_1 = m.(x - x_1)[/tex]
[tex]y - ( - 9) = 8.(x - ( - 2))[/tex]
[tex]y = 8x + 16 - 9[/tex]
[tex]y = 8x + 7[/tex]
Answer:
y = 8x + 7
Step-by-step explanation:
We are given that a line contains the point (-2, -9), and a slope of 8
We want to write the equation of this line
There are multiple ways to write the equation of the line:
Slope-intercept form, written as y=mx+b where m is the slope and b is the y interceptStandard form, written as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be zero and a cannot be negativePoint-slope form, written as [tex]y-y_1=m(x-x_1)[/tex], where m is a slope and [tex](x_1, y_1)[/tex] is a pointThe most common of these 3 methods is slope-intercept form, so let's write our equation this way
As we are already given the slope, we can immediately plug that into our formula for m
Replace m with 8:
y=8x+b
Now we need to find b
As the equation passes through (-2, -9), we can use its values to help solve for b
Substitute -2 as x and -9 as y:
-9 = 8(-2) + b
Multiply
-9 = -16 + b
Add 16 to both sides
7 = b
Substitute 7 as b.
y = 8x + 7
Topic: finding the equation of the line
See more here: https://brainly.com/question/7358459
Hayden said the expression 3(2x+1) will always be greater than 3 because when I distribute the 3 to the numbers inside the parentheses, I will multiply 3 and 1 which is 3 since I will always be adding to the first part of the expression the final answer must be greater than 3
Answers
Answer:
9x.Step-by-step explanation:
Hayden is correct. 3(2x + 1) = 9x.
Here is explanation:
If you didn't know, 2x + 1 would simply be 3x.
So then, 3 * 3x would then be 9x.
Here is math explanation:
3(2x + 1)= 3(3x)= 3 * 3x= 9x.You now have your answer!
9x is your answer.How to solve the square root of x - 1.
Answers
Answer:
I know i'm late but I think this might be right, I don't know, I used a website-
Step-by-step explanation:
When
√x-1
STEP
1
:
Isolate the square root on the left hand side
Radical already isolated
√x-1 = 0
STEP
2
:
Eliminate the radical on the left hand side
Raise both sides to the second power
(√x-1)2 = ()2
After squaring
x-1 =
STEP
3
:
Solve the linear equation
Rearranged equation
x -1 = 0
Add 1 to both sides
x = 1
A possible solution is :
x = 1
STEP
4
:
Check that the solution is correct
Original equation
√x-1 =
Plug in 1 for x
√(1)-1 =
Simplify
√0 = 0
Solution checks !!
Solution is:
x = 1
also, want to talk and be friends?
~Dreamer1331~
You’ll earn points just answer.. I know the answer already I’m just giving points
Answers
Answer:
10 inches
Step-by-step explanation:
2+2.25+2.25+2.25+2.5+2.75+2.75+3.25=10!!!!!!!!!
Answer:
thank youuu
Step-by-step explanation:
Why is 1/2 the same as 0.5
Answers
Answer:
it’s because 0.50 is half of 100 and 1/2 is a reduced fraction of 50/100.
Step-by-step explanation:
Martin has a piece of purple yarn that is 3 1/2 inches long he has a piece of yellow yarn that is 3 5/6 inches Long how much longer is the yellow yarn?
Answers
Answer:
2 1/3 longer
Step-by-step explanation:
yw ;)
Answer:
⅓
Step-by-step explanation:
Expression : 3 ⅚ - 3 ½
3 ½ would become 3 3/6.
3 ⅚ - 3 3/6 = 2/6 = 1/3
HELP ME PLS I AM DESPERATE
Madeline scored 75 and 80 on her first two exams. What score does she need to achieve on the third exam in order to earn an average of 85?
Answers
Answer:
100
Step-by-step explanation:
75 + 80 + 100 divided by 3 = 85
Max is creating a playlist and can have at most 180 minutes of music. He currently has 45 minutes. How many more minutes of music could Max include in the playlist?
Answers
Answer:
max could still add 135 minutes of music into his playlist
Step-by-step explanation:
180 - 45 = 135
Answer:
So we know that Max's playlist can have at most 180 minutes of music meaning that our amount of music cannot exceed that number. We are also given that Max already has 45 minutes of music on there so we need to subtract that from 180 minutes to see how much we have left.
[tex]180\ minutes - 45\ minutes[/tex]
[tex]135\ minutes[/tex]
Max still has 135 minutes left on his playlist that he can fill up.
Hope this helps! Let me know if you have any questions
Pleas help ppppppp pls
Answers
Step-by-step explanation:
option A is correct answer
At a baseball game, a vender sold a combined total of 183 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the
number of sodas and the number of hot dogs sold.
Answers
Answer:
61 hot dogs
122 sodas
Step-by-step explanation:
x+x2=183
3x=183
183÷3=
61
The angle below is the image formed when a figure containing /KLM is
dilated by a scale factor of 1/2 What is the measure of ZKLM?
M'
K'
48°
L'
Answers
Answer: 48 degrees
Step-by-step explanation:
Dilations preserve angle measure.
PLEASE HELP!!
Suppose Lamar places
$4500 in an account that
pays 9% interest
compounded each year.
Assume that no withdrawals
are made from the account.
Follow the instructions
below.
Do not do any
rounding.
(a) Find the amount in the
account at the end of 1 year.
$__
(b) Find the amount in the
account at the end of 2
years.
$__
Answers
Answer:
A) $4,905 B) $5,310
Step-by-step explanation:
To get the answer, just simply add the amount by the percentage.
4,500 + 9% = A
For 2 years, just do 9 x 2 = 18 because it's 2 years
4,500 + 18% = B
The late fees for a school library are represented by the function
c=0.25d, where c is the total cost and d is the number of days.
a book is late. The fees charged by a city library are shown in the
table.
Answers
Answer:
Rates of change:
school library: $0.25 per day;
city library: $0.35 per day
| Snapsolve. ... where \(c\) is the total cost and \(d\) is the number of days a book is late. The fees charged by a city library are shown in the table
Step-by-step explanation:
What is the solution set to this equation? log₂ (x - 2) + log₂x = 3
Answers
Let's see
[tex]\\ \rm\Rrightarrow log_2(x-2)+log_2x=3[/tex]
[tex]\\ \rm\Rrightarrow log_2(x(x-2))=3[/tex]
[tex]\\ \rm\Rrightarrow x²-2x=8[/tex]
[tex]\\ \rm\Rrightarrow x(x-2)=8[/tex]
Either x=8
Or
x-2=8x=10Solution set
x[8,10]
Number of Edges = [?]
=
Answers
Answer:
6
Step-by-step explanation:
The price of a certain computer stock t days after it is issued for sale is p ( t ) = 100 + 20t − 3t^2 dollars. The price of the stock initially rises, but eventually begins to fall. During what period of time does the stock price rise? 0 ≤ t ≤ If you owned the stock, after how many days would you sell it? days
Answers
The period of time does the stock price rise is 0 ≤ t ≤ 10/3.
It would sell in 3.34 days.
What is differentiation?It is the process of finding the derivative, or rate of change, of a function.
The price of a certain computer stock after t days is
p(t) = 100 + 20t - 3t²
Now, take the derivative of the given function and equate it to zero to find the critical points,
p'(t) = 20 - 6t = 0
t = 20/6
t = 10/3 days
Thus, there are two intervals in which the given function is defined
(0, 10/3) and (10/3, ∞)
For the interval (0,10/3 ),
p'(1) = 20 - 6(1) =14
For the interval (10/3, ∞),
p'(2) = 20 - 6(2) = 8
Since p'(t) in the interval (0, 10/3) indicates that the function is increasing.
0 < t <10/3
Since at the point t = 3.34 days it would sell.
Learn more about this concept here:
https://brainly.com/question/23857227
#SPJ1
What is the relationship between body length and wingspan?
A - As the length increases, the
wingspan increases.
B - As the length increases, the
wingspan decreases.
C - As the length increases, the
wingspan stays the same.
D - There is no relationship
between the length and the
wingspan.
Answers
Answer:
A - As the length increases, the wingspan increases.
Very sorry if I got it wrong but I think it is A.
Answer:
I think it's A
Step-by-step explanation:
As the length increases the wingspan increases
Obisa has a radio which uses 18-volt batteries. Each battery has 1.5 volts. How many batteries does he need to use his radio?
Answers
Answer:
I believe he would need 12 batteries
A rectangle has sides measuring (12x - 2) units and (x + 8) units.
Part A: What is the expression that represents the area of the rectangle? Show your work. (5 points)
Part B: What is the expression that represents the perimeter of the rectangle? Show your work. (5 points)
Part C: What are the degree and classification of the expression obtained in Part A? (3 points)
Answers
The area equation is:
A = (12x - 2)*(x + 8)
Which is a polynomial of degree 2, and the perimeter is:
P = 26x + 12
How to write the area of the rectangle?
Remember that for a rectangle of length L and width W, the area is written as:
A = L*W
Here we know that:
L = (12x - 2)
W = (x + 8)
Then the equation for the area is:
A = (12x - 2)*(x + 8).
How to write the perimeter?For a rectangle of length L and width W, the perimeter is:
P = 2*(L + W).
Replacing what we know, we get:
P = 2*(12x - 2 + x + 8) = 2*(13x + 6) = 26x + 12
What are the degree and classification of the area equation?The area equation is:
A = (12x - 2)*(x + 8).
Notice that this is a polynomial that is made of the product of two polynomials of degree 1, so this is a polynomial of degree 2.
If you want to learn more about polynomials:
https://brainly.com/question/4142886
#SPJ1
Pa help po salamat,
Answers
Answer:
- a frequency table is how much a number occurs, for example there are 4 10's in data list given so the frequency is 4
- the prompt asked for a width of 6 so 1 - 6, there was no numbers of 1, 2, 3, 4, 5, 6 in the list making the frequency 0