Answer:
Y² = (1-X) / 2
Step-by-step explanation:
According To The Question, We Have
X= Cos2t & Y= Sint
the cartesian equation of the curve is given by Y² = (1-X) / 2 .
Proof, Put The Value of X & Y in Cartesian Equation, We get
Sin²t = {1-(1-2×Sin²t)} / 2 [∴ Cos2t = 1 - 2×Sin²t]
Taking R.H.S
(1-1+2×Sin²t)/22Sin²t/2 ⇔ Sin²t = L.H.S (Hence Proved)Find an equation for the line perpendicular to x= -3 and goes through the point (-9, -2)
Answer:
y = -2
Step-by-step explanation:
The line x = -3 is a vertical one; the slope of a line perpendicular to x = -3 is zero (0). Recall that the slope of a vertical line is undefined and that of a line perpendicular to a vertical line is 0.
Then, to write the equation of the perpendicular line, we borrow the '-2' from (-9, -2) and write y = -2. This line does indeed pass through (-9, -2) and every other point whose y-component is -2.
Solve the equation
3/4x+3-2x= -1/4+1/2x+5
Please help I have tried everything and I haven’t gotten the right answer and it won’t let me move on
Quadrilateral ABCD is inscribed in a circle. If angle B measures 112°, what is the measure of angle D?
Answer:
68°
Step-by-step explanation:
If a quadrilateral is inscribed in a cirle, the sum of its opposite angles is 180°. Angles B and D are opposite => B+D=180° => D=180°-B=180°-112°=68°
Answer:
68°
Step-by-step explanation:
Since angles B and D are opposite each other, they are supplementary.
Oscar charges $25 for the first hour of tutoring and $15 for each additional hour of fraction of an hour counting as a whole hour. the rates that Latoya charges for x hours of tutoring are modeled with with the function shown.
Choose.. will charge (5,10,15,20) more to tutor for 5.5 hours
Answer:
Latoya will charge $10 more to tutor for 5.5 hours
Step-by-step explanation:
We shall look at the total charges of both tutors individually.
Oscar charges $25 for the first hour of tutoring and $15 for each additional hour of fraction of an hour counting as a whole hour.
This means that for the first hour, Oscar charges $25.
For every subsequent hour, regardless of whether the student was tutored for the full hour or only partial, Oscar still charges $15 for the particular hour. To clarify, here is an example.
If a student is tutored for 2 hours, the cost for Oscar's tutoring is $25 (first hour) + $15 (second hour) = $40. However, if the student is still tutored for 1.5 hours, the cost for Oscar's tutoring is still $25 (first hour) + $15 (second hour) = $40. This is because Oscar counts the partial minutes as a full hour in tutoring costs.
For 5.5 hours, the cost of Oscar's tutoring is
$25 (first hour) + $15*4 (2nd to 5th hours) + $15 (the last half an hour) = $100.
Now, we shall look at Latoya's tutoring cost.
f(x) =
30x,
[tex]0 \leqslant x \leqslant 3[/tex]
20x,
[tex]3 < x \leqslant 6[/tex]
10x,
[tex]x > 6[/tex]
The tutoring cost depends on x, the number of tutoring hours. In this case, x is 5.5. The cost for 5.5 hour depends on the formula 20x since 5.5 is more than 3 but less than 6.
Hence, the tutoring cost for Latoya is $20*5.5 = $110.
In this case, Latoya charges $110-$100=$10 more to tutor for 5.5 hours.
Please help :,(
the ordered triple for point U is (-3,3,-4). To graph this point in three-dimensional coordinates space, do the following
From the origin, move back 3 units, right 3 units, and down __ units
A. 3
B. 4
This is because the z coordinate is -4. So we move down 4 units on the z axis. The z axis is basically a vertical pole planted in the ground, and the xy plane is the flat floor.
It's a bit tricky to visualize so try to imagine that you're in this 3D space personally.
Or you could imagine that something like z = -4 means you are in basement level 4 of a building (say a parking garage) and something like z = 6 means you're on the 6th floor above the ground.
Question and choices are in the photo please explain the answer
Answer:
[tex]\text{A) }68\:\mathrm{cm}[/tex]
Step-by-step explanation:
The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.
Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.
To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a [tex]90^{\circ}[/tex], creating right triangles [tex]\triangle TOP[/tex] and [tex]\triangle SOP[/tex].
The Pythagorean Theorem states that the following is true for any right triangle:
[tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or the longest side, of the triangle
Thus, we have:
[tex]10^2+TP^2=26^2,\\TP^2=26^2-10^2,\\TP^2=\sqrt{576},\\TP=24[/tex]
Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.
What we know:
[tex]TP=SP=24[/tex][tex]TO=SO=10[/tex]Thus, the perimeter of the quadrilateral PTOS is equal to [tex]24+24+10+10=\boxed{\text{A) }68\:\mathrm{cm}}[/tex]
Answer:
the other one should get a brainliest.
I'm just answering to make it technically possible.
please give answer I will mark as brainliest if you give the right answer
a) 8.68 x 10^25
b) 1.439 x 10^12
Answer:
(8.6810±0.0013)×10^26 kg
1.439 time 10^12
Step-by-step explanation:
standard for is the whole numer with thousandth's place times 10^n or the number of zeroes
|48+(-6)|+|-35+7|
Please help me with this! Thank you!
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{|48 - 6| + |- 35 + 7|}[/tex]
[tex]\mathsf{|48 - 6| = \boxed{\bf 42}}[/tex]
[tex]\mathsf{= 42 +| -35 + 7|}[/tex]
[tex]\mathsf{|-35 + 7| = \boxed{\bf -28}}[/tex]
[tex]\mathsf{= 42 + |- 28|}[/tex]
[tex]\mathsf{= 42 + 28}[/tex]
[tex]\boxed{\mathsf{= \bf 70}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 70}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What's The actual length of QR (round to 3 decimal places) ?
Answer:
4.383
Step-by-step explanation:
Pythagoras
a² + b² = c²
with c being the baseline of the rectangular triangle (the line opposite to the 90 degree angle).
so, in our example here c=6.5cm, a=QR, b=4.8cm
a² = c² - b² = 6.5² - 4.8² = 19.21
a = sqrt(19.21) = 4.383
Find the middle point, M, of ab
Distance from A to B = B-A = 18-0 = 18
M is the midpoint which means it is equal distance between A and B
M = distance between A and B divided by 2:
M = 18/2 = 9
Answer: M = 9
Answer:
9
Step-by-step explanation:
If m is a midpoint of AB
then
M = 1/2AB
If AB = 18
Then M = 1/2 of 18
18/2 = 9
Hence M = 9
These tables of values represent continuous functions. For which function will the y-values be the greatest for very large values of x?
PlzzPlease help me bunnies <3
No monkey business plz. Or I will report
It's C.
The value is increasing threefold relative to the previous step.
all other function values increase by a fixed amount and are therefore linear
Claire's music playlist contains songs she bought and songs her mother bought. The ratio of her songs to her mother's songs is 3:2. Which table shows this ratio and two equivalent ratios?
Answer:
B.
Step-by-step explanation:
The ratio of Claire's songs to her mother's songs = 3 : 2
A.
3 : 2 = 3/2
9 : 6 = 9/6 = 3/2
12 : 10 = 12/10 = 6/5
B.
3 : 2 = 3/2
6 : 4 = 6/4 = 3/2
15 : 10 = 15/10 = 3/2
C.
3 : 2 = 3/2
4 : 3 = 4/3
5 : 4 = 5/4
D.
3 : 2 = 3/2
4 : 6 = 4/6 = 2/3
20 : 30 = 20/30 = 2/3
The table which shows the correct ratio and two equivalent ratios is B
what is the word capacity mean
Answer:
the maximum amount that something can contain. hope this helps :)
Step-by-step explanation:
GRADE 10 MATH QUESTION
The city is trying to open a road that connects a cabin in the woods to a
roadside. The roadside connects 2 parks. The cabin site is located at (8,6) on
the map and the parks are at point A (-2,10) and point B (5,-4). Find the
route that minimizes the cost and the number of trees that have to be cut
down (Hint: Find the shortest distance between the cabin and the roadside)
Answer:
the shortest route is from cabin site to B
Step-by-step explanation:
see my attachment
Answer:
answer is b
Step-by-step explanation:
if 4/5x - -3/4=0 then x=
On the first day of camp,
5/8 of the skaters were beginners. Of the beginners, 2/6 were girls. What fraction of the skaters were girls and beginners? Complete the explanation.
Answer:
5/24.
Step-by-step explanation:
2/6 of 5/8 were beginners and girls
= 1/3 * 5/8
= 5/24.
Helpppppppppppppp meeeeeeeee
Step-by-step explanation:
Hey there!
From the given figure;
An exterior angle is 127°.
To find: value of"X"
Now;
x+127° = 180°. [Being linear pair]
or, X = 180° - 127°
or, X = 53°
Therefore, the value of "X" is 53°.
Hope it helps!
Answer:
53°
Step-by-step explanation:
the extended line(the base and the line that extends past the triangle) is 180°. With an extended line that is 180°, the inside angle must be 180° - the outside angle, and the outside angle must be 180° - the inside angle. if the angle on the outside is 127°, then the inside angle(x) should be 180° - 127° or 53°.
to verify: all the inside angles must equal to 180°
the angle on the top is 90°( when there is that square thing on an angle it means it is 90°) and the angle on the right is 53°, so the remaining angle is 180 - (90° + 53°) or 37°.
90° + 53° + 37° = 180 °
Write the names of all the months that have 31 days
Answer:
January, March, May, July, August, October, and December
https://imgur.com/a/n3PRcMY
Step-by-step explanation:
hakdogg happyly ever after
bill changes £450 from his bank to $729 what exchange rate did he get?
Answer:
$1.62
Step-by-step explanation:
Find the value of x.
Answer:
10
please mark brainiest
Any help is appreciated!!!!!!
Answer:
d
Step-by-step explanation:
ddddddddddddddddddddddddddfffffdff
I think the answer Is B but i am not sure
HELP WITH 9 AND 10! I really don’t understand how to find these!
Answer:
50 and C
Step-by-step explanation:
Remark.
The geometric mean is the middle number between two numbers that are 2 places apart. It's easier just to make up an example to show what the mean is
4 8 16
8 is the geometric mean of 4 and 16. The first term (4) is multiplied by 2. The third term is derived from 8 (the mean) multiplied by 2
So to solve this problem you need to find what a is multiplied to get get the mean, and multiplied again by the same thing you did before to go from the mean to the third term.
Solution
12 / mean = mean / a Cross multiply
mean^2 = 12*a
But the mean is given as 10sqrt(6)
12a = 100 * 6
12a = 600
a = 50
20 / mean = mean /a
mean^2 = 20 a
mean = 10 sqrt (10)
100 * 10 = 20*a
a = 1000 / 20
a = 50
519 divided by 22,836
Jessica wants to make tarts. To make tarts, she needs ¾ of a cup of flour per batch of tarts. If Jessica has 9 cups of flour, then how many batches of tarts can Jessica make?
Answer:
108
Step-by-step explanation:
Jesicca wants to make tarts
She uses 3/4 cup of flour per batch
Jessica has 9 cups of flour hence the number of batches she will make can be calculated as follows
= 9÷ 3/4
= 9÷ 0.75
= 12
= 12×9
= 108
Hence Jessica will make 108 batches of tart
Select the correct answer.
The length of a rectangle is 3 meters more than the width. The perimeter of the rectangle is 26 meters. If the width is b, which equation represents the situation? How many solutions will this equation have?
A.
(b + 3)(b) = 26, which has one solution
B.
2(b + 3) + 2b = 26, which has infinitely many solutions
C.
2[(b + 3) + b] = 26, which has one solution
D.
2[(b + 3) + b] = 26, which has no solution
Answer:
C
Step-by-step explanation:
Have a nice day
Answer:
C. 2[(b + 3) + b] = 26, which has one solution
Step-by-step explanation:
Please brainliest and dont forget to say thanks :)
helppp me i need help plzzzzz
Answer:
x+3y -10 =0
Step-by-step explanation:
In slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -1/3x +10/3
We want it in the general form ax+by +c =0 where a,b,c are integers and a>0
Multiply by 3 on each side
3*y = 3(-1/3x +10/3)
3y = -x +10
Add x to each side
x+3y = -x+10 +x
x+3y = 10
Subtract 10 from each side
x+3y -10 = 10-10
x+3y -10 =0
The slope of a line is [tex] - \frac{1}{3} [/tex] and the y-intercept is [tex] \frac{10}{3} [/tex]. What is the equation of the line written in general form?
Choices:○ 10x + 3y - 1 = 0
○ x + 3y + 10 = 0
○ x + 3y - 10 = 0
Remember to use this formula:[tex] \quad \quad\quad\quad\boxed{\tt{y = mx + b}}[/tex]
Given that:[tex]\quad \quad\quad\quad\boxed{\tt{Slope (m) = \frac{1}{3} }}[/tex]
[tex]\quad \quad\quad\quad\boxed{\tt{y \: intercept(b) = \frac{10}{3} }}[/tex]
Lets try![tex] \quad \quad\quad\quad\boxed{\tt{y = - \frac{ 1}{3}x + \frac{10}{3} }}[/tex]
Then convert it in general form using this formula:[tex] \quad \quad\quad\quad\boxed{\tt{ax + by + c = 0}}[/tex]
Each side will be multiply by 3[tex] \quad \quad\quad\quad\boxed{\tt{ (3)y = 3(- \frac{ 1}{3}x + \frac{10}{3} )}}[/tex]
[tex] \quad \quad\quad\quad\boxed{\tt{ 3y = \cancel{ \color{red}3}(- \frac{ 1}{ \cancel{ \color{red}3}}x + \frac{10}{ \cancel{ \color{red}3}} )}}[/tex]
[tex] \quad \quad\quad\quad\boxed{\tt{3y = - x + 10}}[/tex]
Let's convert "x" like this.[tex] \quad\quad\quad\boxed{\tt{3y = - x + 10}} \: ➡ \: \boxed{\tt{x + 3y = 10}}[/tex]
Convert "10" like this.[tex] \quad\quad\quad \boxed{\tt{x + 3y = 10}} \: ➡ \: \boxed{ \tt{x + 3y - 10 = 0}}[/tex]
Hence, the answer is:[tex]\quad \quad\quad\quad \boxed{ \color{green}{ \tt{x + 3y - 10 = 0}}}[/tex]
_________
#LetsStudy
Find the missing angle measurements
Answer:
look at picture.
Step-by-step explanation:
every angle in a triangle equals 180° and every straight line equals 180°. So you just take the angles given in each triangle and subtract from 180° to get the total of the 3rd angle.
Jonah's favourite number is a positive integer. One day, he decided to write down all of the positive integers starting at 1 and ending with his favourite number. He noticed, in doing so, that he wrote the digit 7 exactly 30 times. What is Jonah's favourite number?
Answer:
um I think its 14
Step-by-step explanation:
In a survey of 2,700 people who owned a certain type of car, 954 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
35.333333333...%
Step-by-step explanation:
954/2700 = 35.33333333333333...%
You could use a calculator to solve these types of problems, but I'm not saying you should use one for every single problem.
Anyway, hope this helps.
