Answer:
Step-by-step explanation:
The main equivalence between rectangular and polar forms is
x^2 + y^2 = r^2, where r is the radius. Next, y = r sin Ф. Thus,
x^2 + y^2 = r^2 becomes r² = 2·r·sin Ф.
The variable r can be factored out partially: r = 2·sin Ф
This is the polar form of x^2 + y^2 = 2y.
Which of the following expressions are equivalent to -7/-f
Answer: The answer is none of the above
Step-by-step explanation: I did it on khan academy
Scott is driving to visit family. After 3 hours of driving, Scott traveled 180 miles. After driving for 5 hours at the same rate, he traveled 300 miles. Which equation represents this situation?
Answer:
3X=180 and or 5X=300
X being the constant of how many miles they traveled per hour (which is 60)
Step-by-step explanation:
Not the best but hoped it helped
Answer:
y = 60x
Step-by-step explanation:
Just did it on Edmentum and got it right
Determine the intercepts of the line.
y = 10x - 32
y-intercept: (
z-intercept: (
Answer:
see below
Step-by-step explanation:
y = 10x - 32
To find the x intercept set y =0 and solve for x
0 = 10x -32
Add 32 to each side
32 = 10x
Divide by 10
32/10=10x/10
3.2 = x
To find the y intercept set x =0 and solve for t
y = 10*0 -32
y= -32
Answer:
y.(0,-32)
x.(3.2,0)
Step-by-step explanation:
Use the Law of Cosines to find the values of x and y. (PLEASE HELPPP!!!!)
Answer:
[tex]x = 49.8^\circ\\y = 54.6^\circ[/tex]
Step-by-step explanation:
Kindly refer to the image attached in the answer region for labeling of triangle.
AB = 16
BC = 19
AC = 15
[tex]\angle ABC = x^\circ\\\angle ACB = y^\circ[/tex]
We have to find the angles x and y i.e. [tex]\angle B \text{ and }\angle C[/tex].
Formula for cosine rule:
[tex]cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}[/tex]
Where
a is the side opposite to [tex]\angle A[/tex],
b is the side opposite to [tex]\angle B[/tex] and
c is the side opposite to [tex]\angle C[/tex].
[tex]\Rightarrow cos x = \dfrac{19^{2}+16^{2}-15^{2}}{2 \times 19 \times 16}\\\Rightarrow cos x = \dfrac{392}{608} \\\Rightarrow x = 49.8^\circ[/tex]
Similarly, for finding the value of y:
[tex]cos C = \dfrac{a^{2}+b^{2}-c^{2}}{2ab}\\\Rightarrow cos y = \dfrac{19^{2}+15^{2}-16^{2}}{2 \times 19 \times 15}\\\Rightarrow cos y = \dfrac{330}{570}\\\Rightarrow y = 54.6^\circ[/tex]
Hence, the values are:
[tex]x = 49.8^\circ\\y = 54.6^\circ[/tex]
Ma poate ajuta cineva la acesta problema: pe o drepta g considerati punctele D, R,P si T coliniare in aceasta ordine astfel incat DR=PT=3 cm, iar RP=4cm
Answer:
Givens
[tex]DR=PT=3cm[/tex] and [tex]RP=4cm[/tex]
Points D, R, P and T are collinear.
The image attached shows a representation of this problem.
By sum of segments, we have
[tex]DT=DR+RP+PT[/tex]
Replacing all given values, we have
[tex]DT=3+4+3=10 \ cm[/tex]
Therefore, the segment DT is 10 centimeters long.
Now, we know that point E is the center of segment RP, which means is a middle point, divides the segment equally. So, to prove that segment DT is symmetrical regarding point E, we need to prove that both sides are equal.
[tex]RE=EP=2cm[/tex], by definition of middle point.
By sum of segments, we have
[tex]DR+RE=3+2=5cm\\EP+PT=5cm[/tex]
Which means [tex]DR+RE=\frac{DT}{2}\\ EP+PT=\frac{DT}{2}[/tex].
Therefore, segment DT is symmetrical regarding point E.
If the volume of the pyramid is 72cm, what is its height in cm?
4 cm
6 cm
A) 3
B) 9
C) 12
D) 18
PLS HELP ME!
it is b.9 because u have to multiply (w×h×l)/3
Answer:
9
Step-by-step explanation:
A pair of dice is rolled. What is the probability of getting a sum of 6?
Answer:
1/6
Step-by-step explanation:
Since you are rolling the die only one time there is only one way of you getting a 6 and that is rolling an actual 6. There are six sides to the die so you take the one 6 out of the the others and there is your probability.
Answer:
5/36
Step-by-step explanation:
I got it right
What is negative four equals x divided by five plus six
Step-by-step explanation:
Negative four
-4
Equal to x
-4=x
Divided by five
-4=x/5
Plus six
-4=x/5 +6
Interpretation in the picture above
Solution
Multiply through with 5
5×-4=5×x/5 + 5×6 as shown in the second picture
-20=x+30
Collect like terms
-20-30=x
-50=x or x=-50
¿Cuantos enteros positivos tienen el mismo numero de cifras en la representación decimal de sus cuadrados y cubos?
Answer: 3 positive integers.
Step-by-step explanation:
This can be translated to:
"how many integer numbers have the same number of digits in their cubes and squares?"
for example, a number that will be an option is 2:
Because 2*2 = 4
2*2*2 = 8
the square and cube of 2 have the same number of digits.
3 for example:
3*3 = 9
3*3*3 = 27
does not match the condition.
1 does match it, obviusly.
0 is not positive, so we can ignore it.
let's see 4.
4*4 = 16
4*4*4 = 64
So 4 is other number that matches the condition.
Now, 5:
5*5 = 25
5*5*5 = 125
5 does not match the condition, and any number upper than 5 also does not match the condition.
so the numbers we have are 1, 2 and 4.
so we have 3 integers.
define composite figure
Answer:
A figure or shape that can be divided into more than one of the basic figures, which is said to be a composite figure.
Solve one, any question you want, please show work,
Answer:
Step 1: Variables are q for quarters and d for dimes. So d = dimes and q = quarters
Step 2: The two equations that form a system of equations are:
[tex]\left \{ {{0.1d+.25q=3.70} \atop {d+q=19}} \right.[/tex]
Step 3: Work is shown on the attachment and on the step-by-step explanation
Step 4: Given the context of the problem, the solution of the amount of dimes and quarters, which is 7 dimes and 12 quarters, is needed to satisfy both systems to concur that there was 7 dimes and 12 quarters in a sum of money that amounted to $3.70 with 19 coins in total.
Step-by-step explanation:
Step 1: To first attempt to solve this, we must have to set up two variables for the amount of value a quarter and a dime has. So since a quarter is worth 0.25¢ in and a dime is worth 0.10¢, then we can set up one of the equations to be:
[tex]0.1d + .25q = 3.70[/tex]
And we set it to equal the $3.70 because that's the amount that the sum of money totals to.
Step 2: Now to get the other side of the equation, we use the variables again, d and q and set that to equal 19 because that is the amount of coins that there is in total.
Step 3: Now that we have both equations, we can solve the problem now.
[tex]\left \{ {{0.1d+.25q=3.70} \atop {d+q=19}} \right.[/tex]
Let's first solve this equation by setting one of the side's variables the same absolute value, but not the same integer value so that we can cross it off. I will choose the equation [tex]d+q=19[/tex] to be multiplied by -.1 so that we can cross off both 0.1d and -0.1d after the result of the multiplication:
[tex]\left \{ {{0.1d+.25q=3.70} \atop {-.1d+-.1q=-1.9}} \right.[/tex]
Now, lets cross off everything that we can, and add up the variables together. This includes adding .25q + (-.1q) and adding 3.70 + -1.9.
Now we have:
[tex]\left \{ {{.25q=3.70} \atop {-.1q=-1.9}} \right.[/tex]
Now, what we do from here is add the left side and the right side side to get one equation, which is:
[tex].15q=1.8[/tex]
Finally, we divide both sides to get q=12, which means that there are 12 quarters. Since there are 19 coins in total, we can subtract 12 from 9 to get the remaining amount of dimes, which is 7.
In conclusion, q=12 and d=7.
My written work is also provided in the attachment!!!
Step 4: What does this mean in the context of the question?
This basically means that the solution of the amount of dimes and quarters, which is 7 dimes and 12 quarters, is needed to satisfy both systems to concur that there was 7 dimes and 12 quarters in a sum of money that amounted to $3.70 with 19 coins in total.
In simpler terms, this means that we need 7 dimes and 12 quarters to satisfy that there was a sum of money that amounted to $3.70 with 19 coins in total .
According to a survey by the beach lifeguards, there is a 25% chance that surfers will see a dolphin while surfing. Which simulation could you use to answer questions about whether a surfer will see a dolphin?
By Probability, 0.25 is simulation could you use to answer questions about whether a surfer will see a dolphin.
What does a probability simple definition entail?
A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%. Probability is a measure of how likely or likely-possible something is to happen.
For instance, the chance of flipping a coin and obtaining heads is 1 in 2, as there is only one method to acquire a head and there are a total of 2 potential outcomes (a head or tail). P(heads) = 12 is the formula.
the beach lifeguards, there is a 25% chance.
25% = 1/4 = 0.25
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If you wanted to safely climb a 50-foot wall, what’s the shortest ladder you’d be willing to use? Explai
Answer:
If I wanted to safely climb a 50 foot wall, I would use a 51 foot ladder.
Step-by-step explanation:
If I wanted to climb a fifty foot (50 ft) wall, I would use a fifty one foot (51 ft) ladder because the safe way to position a ladder against the wall requires that I leave one foot (1 ft) distance from the base of the ladder to the wall. That way, the ladder won't be too close nor too far from the wall.
Which statement best compares the volumes of the two rectangular prisms?
b
b
а
a
A
B
CA. There is not enough information to compare the volumes of the prisms.
CB. The volume of prism A is less than the volume of prism B.
C. The volume of prism A is the same as the volume of prism B.
D. The volume of prism A is greater than the volume of prism B.
Answer:
There is not enough information to compare the volume of the prisms.
Step-by-step explanation:
To find the volume of rectangular prisms, the length , width and height must be given. The volume of rectangular prisms is gotten by multiplying the three dimension: length, width and height which is expressed in cubic units. To compare the two volumes, the three dimensions must be given.
Hence, there is not enough information to compare.
if x is directly proportional to y and x=4.5 when y=3 , find
1; an equation connecting x and y
Answer:
3XY
Step-by-step explanation:
Which is a perfect square ? 5,8,36 or 44?
Answer:
36
Step-by-step explanation:
36 is the only one that is a perfect square, via 6*6
Will mark as brainliest if correct
Answer:
x=((log(81))/(log(3))+2)/3
Step-by-step explanation:
so what you want to do is get 3x-2 out of the exponent
you can do that by using log
so apply log to both sides and you get
log(81)=(3x-2)log(3)
the 3x-2 is moved in front of the log due to a log rule
then (log(81))/(log(3))=3x-2
(log(81))/(log(3))+2=3x
((log(81))/(log(3))+2)/3=x
then use a calculator to find the exact value
hope this helps im sorry my explanation is a bit confusing, ask any questions you have
Mr Walden wrote the expression p^5 /q^0. He asked his students to write an equivalent expression of p^-5/q^0 in simplified form
Answer:
Brianna
Step-by-step explanation:
Hope this helps E2020
In ΔABC, ∠B = 90°, AB = 9 cm and BC = 12 cm. Calculate the length of AC. and area of triangle ABC
Answer:
see explanation
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
AC² = AB² + BC² , substitute values
AC² = 9² + 12² = 81 + 144 = 225 ( take the square root of both sides )
AC = [tex]\sqrt{225}[/tex] = 15 cm
-------------------------------------------
The area of Δ ABC is calculated as
A = [tex]\frac{1}{2}[/tex] × BC × AB = [tex]\frac{1}{2}[/tex] × 12 × 9 = 6 × 9 = 54 cm²
Find the value of x in each of the following
a) x/3-2 = 6
b) x/5+ 1 = 5
A)
X/3 -2 = 6
Add 2 to both sides:
X/3 = 8
Multiply both sides by 3:
X = 24
B)
X/5 +1 = 5
Subtract 1 from both sides:
X/5 = 4
Multiply both sides by 5:
X = 20
Answer:
a) 24.
b) 20.
Step-by-step explanation:
a) x/3 - 2 = 6
x/3 = 6 + 2 = 8
x = 3*8
x = 24.
b). x/5 + 1 = 5
x/5 = 5 - 1 = 4
x = 5*4
x = 20.
For this question, is it asking for the total surface area of a cone? I tried that and I got none of the answer choices .
Answer:
i think its both the cone and the semi cirle on top
PLEASE HELP!!
Jack bought an automatic water bottle feeder for his cat. A diagram of the bottle is shown below. What is the maximum amount of water that the bottle can hold?
Answer:
my best guess even though no answers i would say bout 12
Step-by-step explanation:
The maximum amount of water that the bottle can hold is approximately 263.8938 cubic inches.
What is a cone?A cone is a three-dimensional geometric form with a flat base and a smooth, tapering apex or vertex. A cone is made up of a collection of line segments, half-lines, or lines that link the base's points to the apex, which is a common point on a plane that does not include the base.
To find the maximum amount of water that the bottle can hold, we need to calculate the volumes of the cylinder and the cone and add them together.
The volume of the cylinder:
V_cylinder = πr²h
where r is the radius (half of the diameter) of the base, and h is the height of the cylinder.
The radius of the cylinder base is 6/2 = 3 inches, and the height of the cylinder is 8.5 inches, so:
V_cylinder = π(3)²(8.5)
V_cylinder ≈ 226.1947 cubic inches
Volume of the cone:
V_cone = (1/3)πr²h
where r is the radius of the base of the cone, and h is the height of the cone.
The radius of the base of the cone is also 3 inches, and the height of the cone can be found by subtracting the height of the cylinder from the total height of the bottle:
h_cone = total height - height of cylinder = 12.5 - 8.5 = 4 inches
So:
V_cone = (1/3)π(3)²(4)
V_cone ≈ 37.6991 cubic inches
Total volume:
V_total = V_cylinder + V_cone
V_total ≈ 226.1947 + 37.6991
V_total ≈ 263.8938 cubic inches
Therefore, the maximum amount of water that the bottle can hold is approximately 263.8938 cubic inches.
To learn more about the cone;
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2 2/9 as an improper fraction
Answer:
20/9
Step-by-step explanation:
You multiply the whole number by the denominator, then you add that to the numerator and write it as 20/9.
hope this helps!
(please give brainliest) :)
An improper fraction form of fraction 2 2/9 is,
⇒ 20/9
We have to given that;
A mixed fraction is,
⇒ 2 2/9
Now, We can simplify as;
⇒ 2 2/9
Change into improper fraction,
⇒ (9×2 + 2) / 9
⇒ (18 + 2) / 9
⇒ 20/9
Thus, An improper fraction form of fraction 2 2/9 is,
⇒ 20/9
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find all solutions to the equation 5sin(3pix)+8=4 in the interval 0 < x < 2
Answer:
First one
Step-by-step explanation:
5sin(3pix)+8=4
5sin(3pix) = -4
sin(3pi x) = -0.8
Basic angle: sin^-1(0.8) = 0.927295218
3pi x = pi+0.927295218, 2pi-0.927295218
3pi x = 4.068887872, 5.355890089, 4.068887872 + 2pi, 5.355890089 + 2pi, 4.068887872 + 4pi, 5.355890089 + 4pi,
x = above values/3pi
x = 0.43217, 0.568, 1.0984, 1.235, 1.765, 1.9016
Help me find the answer
Answer:
2.30 = ?
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp side/ hypotenuse
sin 50 = ? / 3
Multiply each side by 3
3 sin 50 = ?
2.298133329 = ?
To the nearest hundredth
2.30 = ?
Please help! I need the answer to all of them ASAP
area of rectangle : length x width
1) 7 x 5 = 35
area = 35 in^2
2) area of trapezoid : (a+b)h/2
area = 272 cm^2
3) area = 45.5 in^2
4) area of rhombus : base x height
area = 80 m^2
5) area = 108 cm^2
Answer:
number one is 35in its important to say inches after but in the abbreviation
Step-by-step explanation:
if you need to show your work then put on the side of it
7in
x 5in
-------
35in
Evaluate the expression 7a² - 3b³ when a) a= 4, b= -2 b) a= -8, b=5
You will end up with 2 answers here, substitute and solve.
Answer
Step-by-step explanation:
7a²-3b²
Replace a=4, b=2
7*4²-3*2²
= 112-12
= 100 first answer
7a²-3b²
Replace a=8, b=5
7*8²-3*5²
448-75
= 373 second answer
ZB=
I
Round your answer to the nearest hundredth.
A
5
?
B
Answer:
∠B = 36.87
Step-by-step explanation:
Since you are trying to find the angle measurement, you must use the inverse of cosine: [tex]cos^{-1}[/tex] (you're using cosine because you have the opposite side and adjacent side):
[tex]cos^-1(4/5)[/tex]
≈36.87
What is the factored form of the polynomial? X^2 -12+27?
Answer:
(x-9)(x-3)
Step-by-step explanation:
Look to the number on the right, 27, and list out the factors. (1 and 27, 3 and 9, -1 and -27, -3 and -9)
Next, find the factors that would equal the middle number, -12, when added. -3 and -9 add to -12. Therefore, choose these numbers and put them in the form (x-9)(x-3).
Answer:
D
Step-by-step explanation:
edge2022
what is a in this equation
–6(2 + a) = –48
Answer:
[tex]a=6[/tex]
Step-by-step explanation:
[tex]-6(2+a)=-48\\-6*2 = -12\\-6*a = -6a\\\rightarrow -12-6a=-48\\-12+12-6a=-48+12\\\rightarrow-6a=-36\\\frac{-6a}{-6}=\frac{-36}{-6} \\\boxed {a=6}[/tex]
Brainilest Appreciated!