Answer: k = -8.66
Step-by-step explanation:
We have the equation:
k*x + 5*y = 10
First, let's rewrite this as a line in the slope-intercept form:
5*y = 10 - k*x
y = 10/5 - (k/5)*x
y = -(k/5)*x + 2
Now, we want to make an angle of 30° with respect to the y-axis.
Then we can think on a triangle rectangle, where we know one angle of 30°, the adjacent cathetus will be equal to the difference between the y-component and the y-intercept, and the opposite cathetus will be equal to the x-component.
To get this, we first need to evaluate the function in one given point, let's use x = 5. (we could use any value of x here, i use 5 because it is easier)
y = -(k/5)*5 + 2
y = -k + 2
then the cathetus of our triangle will be:
adjacent cathetus: (y - 2) = (-k + 2 - 2) = -k
opposite cathetus: x = 5.
Now we know the relation:
Tan(a) = (opposite cathetus)/(adjacent cathetus)
where a = 30°
Then:
Tan(30°) = 5/(-k)
-k = 5/tan(0.577) = 8.66
k = -8.66
This is the value of k that we wanted to find.
Hans opens a circular window that is 3.5 feet across at its widest point. What is the circumference of the window to the nearest whole number? Use 3.14 for π. help pls
Answer: 11
Step-by-step explanation:
i did 3.5 x 3.14 = 10.99 and rounded to the nearest whole number, 11.
The circumference of the circular window to the nearest whole number is 11 feet.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is pir^2.
We have,
To find the circumference of the circular window, we need to use the formula:
C = πd
where C is the circumference, π is the constant pi, and d is the diameter of the circle.
Since the window is 3.5 feet across at its widest point, the diameter of the circle is also 3.5 feet.
Plugging in the value of the diameter in the formula, we get:
C = πd
C = 3.14 x 3.5
C = 10.99
Rounding the result to the nearest whole number, we get:
C ≈ 11 feet
Therefore,
The circumference of the circular window to the nearest whole number is 11 feet.
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When liquid silver nitrate and liquid sodium chloride are combined, solid silver chloride forms along with a new liquid, sodium nitrate. Which substance represents the precipitate?
Answer:
sodium chloride
Step-by-step explanation:
It is the chemical element (symbol Na) with an atomic number of 11 and atomic weight of 22.98977. It is a soft, waxy, silvery, reactive alkali metal that is never found unbound in nature.
8.12
Given the diagram below, what is cos(45") ?
450
Triangle not drawn to scale
A. 2-3
B. 4/2
C.
D. JE
The value of cos 45° in the given triangle is 1/√2, Option C is correct.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
In the given right triangle the hypotenuse is 8√2
In the given triangle the two legs are equal.
Let x be the length of the two legs
By Pythagoras theorem, let us find the length of a leg.
x²+x²=(8√2)²
2x²=64(2)
2x²=128
Divide both sides by 2
x²=64
Take square root on both sides
x=8
Now let us find the cosine function, the ratio of adjacent side and hypotenuse
cos45 = 8/8√2
=1/√2
Hence, the value of cos 45° in the given triangle is 1/√2, Option C is correct.
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BRAINLIEST PLS HELP!!!
Answer:
(D) 360 m
Step-by-step explanation:
GUYS HELP
-5 = -11 + 2m
Amelia's account balance is $16. If she uses her debit card to buy a $32
shirt from the mall, what will the balance of her account be?
Answer:
-$16
Step-by-step explanation:
16-32=-16
Can yall help its due in 30 minutes
Answer:
18%
Step-by-step explanation:
540$ is 18% of what he put towards the loan :))
What is the measure of N
Answer:
No picture sorry
1.If 9 pencils cost .45, what would 12 pencils cost?
Answer:
9 pencils = 0.45
12 pencils = 0.60
Brainiest plz :)
Answer:
$.60
Step-by-step explanation:
9=.45
.45/9=.05
.05x12=0.60
$.60
Please help it's due today!!!
Answer:
1. option 3
2. option 1
Step-by-step explanation:
look at the picture ...........
Answer:
The first one is 3 and 31/48
The second one is 25
greatest to least of 2, -1, -2, 0, 1
Answer:
2,1,0,-1,-2
Step-by-step explanation:
Just find the highest number and start going down.
Write the ratio of 24 cats to 16 dogs in simplest form in 3 ways explain or show your work
Answer:
3:2
3 to 2
3/2
Step-by-step explanation:
24/16 reduces to 3/2.
Answer:
3/2 5/3 12/8
Step-by-step explanation:
Diego took a survey to find out how many students plan to go to a school band concert. There are more than 1,000 students in his school. He selected a sample by asking the first 50 students he met at band practice.
Answer: N/A
Step-by-step explanation: We need more info to solve this problem
Answer:
The one above is wrong
The actual answers are A and D
l
The function P(1) - 5,000(1.098)' models the value, in dollars, of a painting after t years. What is the initial value of the painting?
Answer:
the answer is $5,000
Step-by-step explanation:
the question is asking what the initial value of the painting is and in the equation, they are trying to find out how much the painting will cost after t years. the 1.098 is how much the painting decreases each year and it is being multiplied by &5000 so $5000 is the original value of the painting.
please help me with this problem
Answer:
6.75
Step-by-step explanation:
We are given that function
[tex]f(x)=\frac{9x-18}{4}[/tex]
5 is an element in the domain of f(x)
i.e
x=5
We have to find the corresponding element of 5 in the range of f(x).
Substitute x=5 in the given function
[tex]f(5)=\frac{9\times 5-18}{4}[/tex]
[tex]f(5)=6.75[/tex]
Hence, the corresponding element of 5 is 6.75 in the range.
Use the x-intercept method to find all real solutions of the equation.
x? - 7x2 + 4x + 12 = 0
Correct equation is;
x³ - 7x² + 4x + 12 = 0
Answer:
All the real solutions are -1, 2 and 6
Step-by-step explanation:
The x-intercept of x³ - 7x² + 4x + 12 = 0 will occur where y is zero. This is where the curve crosses the x-axis on the graph of this function.
Now, I have plotted a graph of this function and attached it.
From the attached image, the curve crosses the x - axis at the points, x = -1, x = 2, x = 6.
Therefore all the real solutions are -1, 2 and 6
Please help i will give brainly FIRST PERSON TO GET IT RIGHT EVERY TIME I POST A QUESTION YOU WILL ALWAYS GET BRAINLY
solve for x
(20 points)
Answer:
x=14
Step-by-step explanation:
What are the scale factor and center of dilation?
you start at 5,4 and move 2 units left and 2 units down
Answer:
(3,2)
Step-by-step explanation:
Janie ordered boxed lunches for a student advisory committee meeting. Each lunch costs $4. The total cost of the lunches is $47, including a $7 delivery fee. Write and solve an equation to find x, the number of boxed lunches Janie ordered.
Answer:
10 lunches
Step-by-step explanation:
$47-$7=$40
40/4=10
Hello, 928747!
So we are trying to find how many boxed lunches Janie ordered.
Each box is $4.00 and the total cost is $47.00 + delivery fee of $7.00
So to find this, we will first subtract the delivery fee because that does not count towards the lunches.
47 - 7 = 40
So the boxed lunches cost $40.00
To find how many Janie ordered, we will divide 4 by 40
40 ÷ 4 = 10
So Janie bought 10 boxed lunches.
The equation would be (47 - 7) ÷ 4
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Tobey, Finn, and Mary rode their bicycles in the park.
Tobey: 432 yards
Finn: 1,300
Mary: 1/4 mile
Who rode the furthest? Explain how you know.
Answer: Mary
Step-by-step explanation:
Tobey 432 yards is 1296 foots
Mary 1/4 mile is 1320 foots
You didnt mark what kind of measurment Finn has but I assume it's foots, then Mary wins!
(Tobey 1296)
(Finn 1300)
(Mary 1320)
Answer:
Yeah it's Mary
Step-by-step explanation:
1
5
5.0,
71
1. -0.3, 4.33, -12, 10001, -12, -2017, 4
From the given numbers, list the numbers that are
(i) positive integers, (ii) negative integers,
(iii) positive numbers, (iv) negative numbers.
Answer:
positive number
Step-by-step explanation:
because I got it right
20 points . I need help with this.
Answer:
1) 117
2) 51
3) congruent
4) to each other
Step-by-step explanation:
The cost of hiring a surfboard involves an up-front fee plus an hourly rate. Three hours of hire costs $50 and 7 hours costs $90. Sketch a graph of costs, $C, for t hours of hire using the information given above.
Answer:
...... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Help!! I’m not good at geometry! For 30 points!
Answer:
the answer is center mark happy to help ya :)
Step-by-step explanation:
Mr. Smith wants to order some pizza and cheese pizza cost $11 and pepperoni pizza cost $12.50 if you bought 13 pieces total and paid $153.50 how many pepperoni pizza did he buy
Answer: Mr Smith bought 7 pepperoni pizza
Step-by-step explanation:
Step 1
cost of cheese pizza =$11
pepperoni pizza cost =$12.50
let number cheese pizza be represented as c
and number of pepperoni pizza be represented as p
such that the total number of pizza bought which equals 13 can be represented as
c+ p= 13
and total cost of both pizza can be expressed as
11c+ 12.50p =153.50
Step 2 Solving
c+ p= 13
11c+ 12.50p =153.50
By elimination method, Multiply equation 1 by 11 and subtract the new equation from equation 2
11c+ 12.50p =153.50
11c+ 11p=143.
1.5p =10.5
p= 10.5/ 1.5 =7
c+ p= 13
c= 13-p =13-7=6
Therefore Mr Smith bought 6 cheese pizza and 7 pepperoni pizza
1. In 1980, approximately 6 million women enrolled in college in the United States. The number of women who enroll in college has increased at a rate of 0.14 million women per year. There were about 5.4 million men enrolled in college in 1980, and that number has increased at a rate of 0.08 million men per year. In what year (prior to 1980) were an equal number of men and women enrolled in college?
Answer:
Step-by-step explanation:
First, you can plot this using a table. One side can be 'Women' and the other 'Men'. One the vertical side of it, write '1980', '1981', '1982', etc., for maybe fifteen years to be on the safe side. Then, your starting value is 6 million and 5.4 million, respectively.
Finally, start adding up, It will be, 6.14 million, 6.28 million, etc., and 5.4 million, 5.48 million, etc.
Once you're done, you can circle the year both were the same, and you can even plot this on a graph
Answer:
What he said above me and he is correct
Step-by-step explanation:
the total surface area of this cuboid is 76cm^2 find the value of x (5cm = width, 4cm= length and x = height)
Answer:
Height x=2
Step-by-step explanation:
area of top & bottom:
(5)(4)(2)=40
area of 2 sides:
(x)(5)(2)=?
area of the other two sides:
(x)(4)(2)=?
total area=76
76=40+10x+8x
simplify:
36=18x
x=2
Calculate the vapor pressure (in torr) of a solution containing 0.2 moles of solute dissolved in 10 moles of water at 25°C. Vapor pressure of pure water at 25°C is 23.8 torr. Enter text here Enter 2021 Acellus Corporation. All Rights Reserved. C
Answer:
the vapor pressure of a solution at 25°C that contains 76.6 g of glucose (180.2 g/mole) in 250.0 mL of water. The vapor pressure of pure water at 25°C
Step-by-step explanation:
your answer is: 22.9 torr at 25°C
Explanation:
When a non volatile solute is added to a pure solvent, the vapour pressure of the mixture decrease regard to the pure solvent following the equation
Where vapour pressure of the pure solvent (Water) is 23.8torr at 25°C.
Mole fraction of water is the ratio between moles of water and total moles in solution. The solution has a mole fraction of water of:
Replacing in Raoult's law:
Vapor pressure of the solution is 22.9 torr at 25°C
hope this helps!