Answer:
The value of cos 0 = - 2 sqrt(85) / 85 = - 0.216930458
Step-by-step explanation:
cos 0 = ?
Point on the terminal side of 0 : (-2,9)=(x,y)→x=-2, y=9
cos 0 = x/r
r=sqrt(x^2+y^2)
Replacing the known values:
r=sqrt( (-2)^2+(9)^2)
r=sqrt(4+81)
r=sqrt(85)
cos 0 = x/r
cos 0 = -2 / sqrt(85) = -2/9.219544457 = -0.216930458
Rationalizing:
cos 0 = -[2 / sqrt(85)] [sqrt(85) / sqrt(85)]
cos 0 = - 2 sqrt(85) / [sqrt(85)]^2
cos 0 = - 2 sqrt(85) / 85
Cal es el volumen de un cono que tiene una altura 10 pulgadas y un radio de 6 pulgadas
Answer:
≈ 376.99 pulgadas
Step-by-step explanation:
El volumen de un cono con una altura de 10 pulgadas y un radio de 6 pulgadas es de aproximadamente 376.99 pulgadas en cubos.
La fórmula para el volumen de un cono es π (r ^ 2) (h / 3). Puedes sustituir r con 6 yh con 10 para obtener El volumen de un cono con una altura de 10 pulgadas y un radio de 6 pulgadas es de aproximadamente 376.99 pulgadas en cubos.
La fórmula para el volumen de un cono es π (r ^ 2) (h / 3). Puedes sustituir r con 6 yh con 10 para obtener aproximadamente 376.99
Which expression is equivalent
Answer:
Option B is correct.
[tex]\frac{81m^2n^5}{8}[/tex] is equivalent to [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex]
Step-by-step explanation:
Given expression: [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex]
Using exponents power:
[tex](ab)^n = a^nb^n[/tex][tex](a^n)^m = a^{nm}[/tex][tex]a^m \cdot a^n = a^{m+n}[/tex]Given: [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex]
Apply exponent power :
⇒ [tex]\frac{3^4 (m^{-1})^4(n^2)^4}{2^3(m^{-2})^3 n^3}[/tex]
⇒ [tex]\frac{81 m^{-4}n^8}{8m^{-6}n^3} = \frac{81 m^{-4} \cdot m^6 n^8 \cdot n^{-3}}{8}[/tex]
⇒[tex]\frac{81 m^{-4+6} n^{8-3}}{8} = \frac{81 m^2 n^5}{8} = \frac{81m^2 n^5}{8}[/tex]
Therefore, the expression which is equivalent to [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex] is, [tex]\frac{81m^2 n^5}{8}[/tex]
Answer:
Correct choice is B
Step-by-step explanation:
Consider expression
[tex]\dfrac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}.[/tex]
1. Simplify numerator:
[tex](3m^{-1}n^2)^4=3^4\cdot (m^{-1})^4\cdot (n^2)^4=81m^{-4}n^8.[/tex]
2. Simplify denominator:
[tex](2m^{-2}n)^3=2^3\cdot (m^{-2})^3\cdot n^3=8m^{-6}n^3.[/tex]
Then,
[tex]\dfrac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}=\dfrac{81m^{-4}n^8}{8m^{-6}n^3}=\dfrac{81}{8}m^{-4-(-6)}n^{8-3}=\dfrac{81}{8}m^2n^5.[/tex]
Leila wrote an equation to represent the revenue of a parking lot for one day. She let x represent the number of cars that paid to park and y represent the number of trucks that paid to park. If a car costs $8 per day, a truck costs $10 per day, and the total revenue for the day was $830, which equation could Leila use to represent the number of cars and trucks that paid to park that day?
Answer:
8x + 10y = $830
Step-by-step explanation:
8x + 10y = total revenue
if the total revenue is 830 then you can equate the above formula to 830 to give
8x + 10y = $830
Answer:
The required equation is [tex]8x+10y = 830[/tex].
Step-by-step explanation:
Consider the provided information.
As it is given that variable x represents the number of cars that paid to park and variable y represents the number of trucks that paid to park.
The cost of parking a car is $8 per day, the expression to represent the cost of parking x cars per day is 8x.
The cost of parking a truck $10 per day, the expression to represent the cost of parking y trucks per day is 10y.
The total revenue for the day was $830.
Thus, the equation represent the number of cars and trucks that paid to park that day is:
[tex]8x+10y = 830[/tex]
Hence, the required equation is [tex]8x+10y = 830[/tex].
Find the missing side Lengths (70 POINTS!)
Answer:
The sides are as follows: [tex]x=18,\,\,\,y=9\sqrt{3}[/tex]
Step-by-step explanation:
Starting with the side y, we can use the tan to solve for y:
[tex]\tan 30^\circ = \frac{9}{y}\implies y = \frac{9}{\tan 30^\circ}={9}\sqrt{3}[/tex]
The side x can be determined using sin:
[tex]\sin 30^\circ = \frac{9}{x}\implies x = \frac{9}{\sin 30^\circ}= 18[/tex]
So, the sides as as follows: [tex]x=18,\,\,\,y=9\sqrt{3}[/tex]
(you can also verify this result is correct using the Pythagorean theorem)
Answer:
x=18
y=[tex]\sqrt 18[/tex]
Step-by-step explanation:
you are buying one flower for each member of the swim team to wear at an awards tonight there are 19 members on the team you have decided to buy pink roses and yellow roses the pink roses cost $3 and the yellow roses cost $2 you will spend $50 how many pink roses should you buy?how many yellow roses should you buy?
Answer: There are 12 pink roses and 7 yellow roses.
Step-by-step explanation:
Since we have given that
Total number of members = 19
Let the number of pink roses be x
Let the number of yellow roses be 19-x
Cost of pink roses be $3
Cost of yellow roses be $2
Total amount spend to buy = $50
According to question,
[tex]3x+(19-x)2=\$50\\\\3x+38-2x=\$50\\\\x+38=\50\\\\x=\$50-\$38\\\\x=\$12[/tex]
Hence, Number of pink roses be 12
and number of yellow roses be
[tex]19-12=7[/tex]
Hence, there are 12 pink roses and 7 yellow roses.
To solve the problem, we set up two equations representing the number of team members and the total cost of roses, respectively. By solving these equations, we find that we should buy 8 pink roses and 11 yellow roses.
Explanation:This problem is a type of algebraic word problem. We need to find out the number of pink roses and yellow roses to purchase with the total amounts of $50. Here's how we can solve this: Assuming that 'p' stands for pink roses and 'y' stands for yellow roses. We have two equations based on the problem:
p + y = 19 (This is because there are 19 members on the team.) 3p + 2y = 50 (That's because the pink roses cost $3 and the yellow roses cost $2 and you'll spend a total of $50.)By resolving these system of equations, the solution yields that you should buy 8 pink roses and 11 yellow roses.
Learn more about Algebraic Word ProblemIs the equation y=3x in slope-intercept form? Explain.
Answer:
y = 3x is in slope intercept form.
Step-by-step explanation:
The slope intercept form of an equation is y =mx+b where m is the slope and b is the y intercept.
y =3x can be written as
y = 3x+0
where 3 is the slope and has a y intercept of 0
y = 3x is in slope intercept form.
Jerry hears 5 case ever 2 3/8 hours Jerry hears a constant rate how many case does Jerry hear per hour
Answer:
The rate of cases is [tex]\frac{40}{19}[/tex] per hour
Step-by-step explanation:
we are given
Total number of cases =5
total time is
[tex]=2\frac{3}{8}[/tex] hour
we can simplify it
total time is
[tex]=\frac{2\times 8+3}{8}[/tex] hour
[tex]=\frac{19}{8}[/tex] hour
we can use formula
rate of cases = ( total number of cases)/( total time)
now, we can plug values
Rate of cases is
[tex]=\frac{5}{\frac{19}{8} }[/tex]
[tex]=\frac{40}{19}[/tex]
Answer: -Jerry hears [tex]2\frac{2}{19}[/tex] per hour.
Step-by-step explanation:
Since time is given in mixed fraction [tex]2\frac{3}{8}[/tex] , thus first convert it into improper fraction
Time=[tex]\frac{19}{8}[/tex] hours
The total number of cases Jerry hears in =5 cases
⇒The number of cases Jerry hears in 1 hour
[tex]=\frac{5}{\frac{19}{8}}\\\\=\frac{5\times8}{19}\\\\=\frac{40}{19}=2\frac{2}{19}[/tex] cases per hour.
Thus, Jerry hears [tex]2\frac{2}{19}[/tex] cases per hour .
Anjali is adding a border to her 4 tablecloths. Each tablecloth requires 6 3/4 yards of border. How many yards of border will she use?
Answer:
27 yards
Step-by-step explanation:
multiply 4*6 3/4
Let $x$ be a value such that $8x^2 + 7x - 1 = 0$ and $24x^2+53x-7 = 0.$ What is the value of $x$? Express your answer as a simplified common fraction.
[tex]8x^2+7x-1=0\ \wedge\ 24x^2+53x-7=0\\\\\text{The equation:}\\\\24x^2+53x-7=8x^2+7x-1\qquad\text{subtract}\ 8x^2\ \text{and}\ 7x\ \text{from both sides}\\\\16x^2+46x-7=-1\qquad\text{add 1 to both sides}\\\\16x^2+46x-6=0\qquad\text{divide both sides by 2}\\\\8x^2+23x-3=0\\\\8x^2+24x-x-3=0\\\\8x(x+3)-1(x+3)=0\\\\(x+3)(8x-1)=0\iff x+3=0\ \vee\ 8x-1=0\\\\x+3=0\qquad\text{subtract 3 from both sides}\\\boxed{x=-3}\\\\8x-1=0\qquad\text{add 1 to both sides}\\8x=1\qquad\text{divide both sides by 8}\\\boxed{x=\dfrac{1}{8}}[/tex]
The values for x in the given equations, 8x^2 + 7x - 1 = 0 and 24x^2 + 53x - 7 = 0 are x = 1/4, x = -1/2, x = 1/8, and x = -7/6 respectively when the quadratic formula is applied.
Explanation:To find the value of x for each equation, you will need to use the quadratic formula (x = [-b ± sqrt(b^2 - 4ac)] / (2a)). The quadratic formula is used in algebra to solve quadratic equations (polynomials of degree 2). The formula provides solutions for the variable x in terms of the coefficients of the equation, denoted as a, b, and c.
For the first equation, 8x^2 + 7x - 1 = 0, a = 8, b = 7, and c = -1. Plugging these values into the quadratic formula, the solutions come out to be x = 1/4 or x = -1/2.
Similarly, for the second equation, 24x^2 + 53x - 7 = 0, a = 24, b = 53, and c = -7. The solutions for x in this case come out to be x = 1/8 or x = -7/6.
Learn more about Quadratic Equations here:https://brainly.com/question/34196754
#SPJ2
Someone help me on this question.
Let's go:
6x + 7 + 12x - 3 = 112
18x + 4 = 112
18x = 112 - 4
18x = 108
x = 6
mADB = 6.6 + 7 = 43°
I hope I helped you.
Answer:
43°
Step-by-step explanation:
Since we know that ∠ADC, which is the sum of ∠ADB and ∠BDC, is 112, we can solve for x:
112 = 6x + 7 + 12x - 3
112 = 18x +4
112 - 4 = 18x → 108 = 18x
108/18 = x → 6 = x.
Now, we can substitute 6 for x in the equation for ∠ADB to get the answer:
6(6) + 7 ⇒ 36 + 7 ⇒ 43°.
Hope this helps! Have a nice day!
Margarito opened a savings account with a $500 deposit and a simple interest rate of 5.6%. If there were no deposits or withdrawals, how much total money is in the account after 8 ½ years ?
Hey there!
Simple interest is based on only the original deposit of money, which in this case is $500.
To find 5.6% of 500, we can multiply it by the decimal that represents that part of a whole: 0.056.
[tex]500 \times 0.056 = 28[/tex]
The question asks for how much money is in the account after 8 1/2 years. This means we multiply the interest for 1 year (28) by 8 1/2.
[tex]28 \times 8.5 = 238[/tex]
Lastly, we add the interest to the original deposit.
[tex]500 + 238 = 738[/tex]
The answer is $738.
Hope this helps!
If it is 40 degrees Celsius, what is the temperature in Fahrenheit?
A. 40 degrees
B. 104 degrees
C. 54 degrees
D. 102 degrees
Answer:
104 = B
Step-by-step explanation:
A quick way to do this is to use this formula
F = 2*C + 30C = 40F = 2*40 + 30 F = 80 + 30F = 110Since this is an estimate, you are only guided to whether your answer is correct or not. Here's the actual formula
F = (9/5) * 40 + 32F = 360/5 + 32F = 72 + 32F = 104Job A pays $32,448 per year. How much would Job A pay per hour based on a 52 weeks working 40 hours per week?
Answer$15.60
Step-by-step explanation:
First you would go 32,448 divided by 52. That would give you how much you make in one week. Then you do 624 divided by 40. This would give you Job A's hourly wage ($15.60). I hope this helps.
Find the midpoint and distance on a number line between 6, -15
The midpoint between the numbers 6 and -15 on a number line is -4.5. The distance between 6 and -15 on the number line is 21.
Explanation:The midpoint on a number line between two points is found by adding the two points together and then dividing by 2. So, for points 6 and -15, the midpoint would be (6-15)/2 = -9/2 = -4.5. This means the midpoint between 6 and -15 on the number line is -4.5.
The distance between two points on a number line is found by subtracting the smaller number from the larger number and taking the absolute value. So, the distance between 6 and -15 is |6 - (-15)| = |-9| = 21. Therefore, the distance between 6 and -15 on the number line is 21.
Learn more about Number Line here:https://brainly.com/question/31396884
#SPJ3
5x+2(3+x) x =4 I
don't know
Answer:
34
Step-by-step explanation:
5x+2(3+x)
The first step is to distribute the 2
5x+2*3 + 2x
5x+6+2x
Combine like terms
7x+6
Now substitute x=4
7*4+6
28+6
34
the formula for the volume of a cylinder is V=π^2h. The cylinder to the right has an exact value of 180π cubic meters.find its height.
Answer it's more singler to the right angle then the left angle ×{3*25+16=}
Step-by-step explanation:
The height of the cylinder is 20 meters.
Given,
The formula for the volume of a cylinder is V=πr²h.
The cylinder to the right has an exact value of 180π cubic meters.
Its radius is given as 3 meters in the figure.
We need to find its height.
What is the volume of a cylinder?
It is given by:
V = π r² h
Find the volume of the cylinder.
V = π r² h
We have,
V = 180π cubic meters
180π cubic meters = πr²h
Find the height of the cylinder.
We have,
180π cubic meters = πr²h
Divide both sides by π
180 cubic meters = r²h
We have,
r = 3 m
180 cubic meters = 3² square meters x h
180 cubic meters = 9 square meters x h
Divide both sides by 9.
20 meter = h
h = 20 meters
Thus the height of the cylinder is 20 meters.
Learn more about finding the volume of a cylinder here:
https://brainly.com/question/27033747
#SPJ2
The boat moves 138 miles every 3 hours. How far does it move in 10 hours?
6 - x = -12
what the answer?
Answer:
x=18
Step-by-step explanation:
6 - x = -12
+x +x
6=-12 + x
+12+12
18=x
this is the workk and the answer :}
Answer:
x =18
Step-by-step explanation:
6 - x = -12
Subtract 6 from each side
6-6 - x = -12-6
-x =-18
Multiply by -1
-1*-x = -1 * -18
x = 18
What are the intercepts to graph the equation -4x - 3y = 36?
Answer:
The x intercept = -9
The y intercept = -12
Step-by-step explanation:
To find the x intercept, set y = 0 and solve for x
-4x - 3y = 36
-4x -0 = 36
Divide by -4
-4x/-4 = 36/-4
x = -9
The x intercept = -9
To find the y intercept, set x = 0 and solve for y
-4x - 3y = 36
0 -3y = 36
Divide by -3
-3y/-3 = 36/-3
x = -12
The y intercept = -12
Answer:
x = -9
y = -12
Step-by-step explanation: Substitute 0 for x & y to get your points.
-4x - 3y = 36
-4(0) - 3y = 36
0 - 3y = 36
-3y = 36
-3y -3y
y = -12
-4x - 3y = 36
-4x - 3(0) = 36
-4x - 0 = 36
-4x = 36
-4 -4
x = -9
Remember, a negative divided by a positive is a negativeAnything times 0, is the number itself. Like for example, 0 times 46 = the number itself, which is 46.Hope this helps you!!! :)
what is a cell? Also how is the cell made
25 Points!!! Help plzz!! Will give Brainliest!!!
Answer:
Option C : ASA
Step-by-step explanation:
Side WS Lies between ∠W and ∠S
Side NT lies between ∠N and ∠T
Hence the theorem which supports the congruency of the two triangles
is ASA
Angle - Side - Angle
Jerome finds that (3x6) ÷ 2 and 18÷2 are equal explain why this is true
Answer:
because 3x6=18 so it will be the same problem
Step-by-step explanation:
Help me find the value of h please
Answer:
-2
Step-by-step explanation:
Answer:
h = 1
Step-by-step explanation:
If in a function, you replace x with x - h, you translate the function horizontally h units. The black function is f(x) = |x|. The blue function is the black function translated 1 unit to the right. That means h is 1.
Black function: f(x) = |x|
Blue function: f(x) = |x - 1|
h = 1
Probability On a nearby pond, black and white ducks are swimming in groups of three. Use the table to find the experimental probability of two white ducks and one black duck swimming together. Tails up represents white ducks and heads up represents black ducks.
Answer:
There are only two choices, a black or white duck, so a coin is the best choice. To represent a set of possible outcomes, toss the coin three times. Repeat the experiment multiple times. To find the probability, divide the observed desired outcomes by the total number of trial
Step-by-step explanation:
Answer:
7/20
Step-by-step explanation:
I came across the question
Provide an example of an integer that is not a whole number
Answer:
-5
Step-by-step explanation:
The integers are ..., -4, -3, -2, -1, 0, 1, 2, 3, 4, ... -- all the whole numbers and their opposites (the positive whole numbers, the negative whole numbers, and zero). Fractions and decimals are not integers. All whole numbers are integers (and all natural numbers are integers), but not all integers are whole numbers or natural numbers. For example, -5 is an integer but not a whole number or a natural number.
An example of an integer that is not a whole number is -1, as whole numbers are non-negative and -1 is negative.
The set of integers includes all the positive whole numbers, zero, and their opposites, which are the negative whole numbers. Whole numbers are defined as non-negative integers (0, 1, 2, 3, ...). Therefore, any negative integer like -1, -2, -3, and so forth, while being an integer, is not considered a whole number.
What is the vertex of the graph of y = 2(x − 3)2 + 4? (1 point)
A (4, 3)
B (4, −3)
C (3, 4)
D (−3, 4)
The vertex form of the quadratic function:
[tex]f(x)=a(x-h)^2+k[/tex]
(h, k) - vertex
We have
[tex]y=2(x-3)^2+4[/tex]
h = 3, k = 4
Therefore your answer is:
C. (3, 4)The vertex of the parabola given by the equation [tex]y = 2(x - 3)^2 + 4[/tex] is at the point (3, 4), which corresponds to answer option C.
The question is asking to identify the vertex of the parabola given by the equation y = 2(x − 3)^2 + 4. In this form, the equation is in vertex form of a parabola, which is [tex]y = a(x - h)^2 + k[/tex], where (h, k) is the vertex of the parabola. Comparing the given equation to the vertex form, we can see that h = 3 and k = 4, hence, the vertex of the parabola is at the point (3, 4). Therefore, the correct answer is C (3, 4).
Pls help with correct choice
Answer:
(-1, -1)
Step-by-step explanation:
Rotating the point (-1, -1) about the origin at -90° will be a 90 degree clockwise rotation. This will map switch the x- and y-coordinates and negate the x-coordinate:
(x, y)→(y, -x)
(-1, -1) → (-1, 1)
Following this with a 90 degree counter-clockwise rotation will map
(x, y)→(-y, x)
(-1, 1)→(-1, -1)
This is the same point we started with. Thinking about this logically, if we rotate something 90 degrees clockwise and then follow that with a 90 degree counter-clockwise rotation will put the object back in its original position.
Answer:
The correct option is 3.
Step-by-step explanation:
The coordinates of point P are (4,3).
We have to find the value of
[tex]R_{p,90}\circ R_{o,-90}:(-1,-1)[/tex]
The operations area operated from right to left it means first we have to apply
[tex]R_{o,-90}[/tex], then [tex]R_{p,90}[/tex].
[tex]R_{o,-90}[/tex] means rotation 90 degree clockwise about the origin, it is defined as
[tex](x,y)\rightarrrow (y,-x)[/tex]
[tex](-1,-1)=(-1,1)[/tex]
[tex]R_{p,90}[/tex] means rotation 90 degree counter clockwise about the the point P, it is defined as
[tex](x,y)\rightarrrow (-(y-3)+4,(x-4)+3)[/tex]
[tex](x,y)\rightarrrow (-y+7,x-1)[/tex]
[tex](-1,1)\rightarrrow (-1+7,-1-1)[/tex]
[tex](-1,1)\rightarrrow (6,-2)[/tex]
Therefore the coordinates of image are (6,-2). Option 3 is correct.
How to solve this problem
Answer:i fffffffffffffffffffffoooooooooooooooooooooorrrrrrrrrrrrrrrrrrggggggggggggggggggggggooooooooooooooooooottttttttttttttttttttttttttt
Step-by-step explanation:
The perimeter of a rectangle is 276 centimeter. It's length is 5 times its width find it dimension
Answer:
A) 2 * Length + 2 * Width = 276
B) L = 5W then multiplying equation B) by -2 we get
-2L +10W = 0 then we add this to A)
A) 2L + 2W = 276 and get
12W = 276
Width = 23
Length = 115
Step-by-step explanation:
a 1 kg ball has 10 joules of kinetic energy and starts to roll up a hill how far up the hill will it be when it stops
Answer:
The ball will roll upto 1 m.
Step-by-step explanation:
A 1 kg ball has 10 joules of kinetic energy and starts to roll up a hill.
As along the hill the ball rises up, it loses its kinetic energy. The kinetic energy is converted to potential energy.
According to the law of conservation of energy, the kinetic energy plus the potential energy equals a constant.
Here given kinetic energy as 10 J, so this energy will get converted to potential energy.
We know that, potential energy is
[tex]P.E=m\cdot g\cdot h[/tex]
where,
m is the mass, g is the acceleration due to gravity and h is the height.
Putting the values,
[tex]\Rightarrow 10=1\times 10\times h[/tex]
[tex]\Rightarrow 10=10 h[/tex]
[tex]\Rightarrow h=1\ m[/tex]