Answer:
[tex]{ \sf{ \sqrt{r} = \sqrt{(x {}^{2} + {y}^{2} ) } }}[/tex]
Step-by-step explanation:
General equation:
[tex]{ \bf{ {x}^{2} + {y}^{2} + 2ax + 2by + c = 0}} \\ [/tex]
but a and b are 0:
[tex]{ \bf{ {x}^{2} + {y}^{2} = {r}^{2} }} \\ { \bf{ \sqrt{ {x}^{2} + {y}^{2} } = \sqrt{r} }}[/tex]
Help please!!! thx...
[tex]\\ \sf\longmapsto cos\theta=\dfrac{3}{\sqrt{13}}[/tex]
We know
[tex]\boxed{\sf sin^2\theta=1-cos^2\theta}[/tex]
[tex]\\ \sf\longmapsto \sin( \theta) = \sqrt{1 - { \cos}^{2} \theta } \\ \\ \sf\longmapsto \sqrt{1 - {( \frac{3}{ \sqrt{13} }) }^{2} } \\ \\ \sf\longmapsto \sqrt{1- \frac{ {3}^{2} }{ {( \sqrt{13)} }^{2} } } \\ \\ \sf\longmapsto \sqrt{1 - \frac{9}{13} } \\ \\ \sf\longmapsto \sqrt{\frac{13 - 9}{13} } \\ \\ \sf\longmapsto \sqrt{ \frac{4}{13} } \\ \\ \sf\longmapsto \frac{2}{ \sqrt{13} } [/tex]
The tables show how the dollar to euro conversion rate changed during one day.
Khalil changed $500 into euros (£).
How many more euros did Khalil receive if he changed his money at the highest rate compared to the lowest rate?
Answer:
£10.1
Step-by-step explanation:
Highest exchange rate=1.3401
Lowest exchange rate=1.3199
The money Khan would have received more if he exchanged currencies at the highest rate compared to the lowest rate=500*(1.3401-1.3199)=£10.1
On a recent math test. Samantha scored 3 points for each of the 18 multiple choice que non se
answered correctly and 5 points for each of the 6 short response questions she answered correctly
She scored an additional 4 points for the bonus question. Write an expression for her total score on
the test and then find her score.
The required expression will therefore be:
(3×18) + (5×6) + 4
Her total score is 88points :
From the question given, we are told that Samantha scored 3 points for each of 18multiple questions his means that the total points made here is expressed as:
(3 × 18) ...1
If she got 5 points for each of the 6 short responsmultiple choice questione questions she answered
correctly, the total point made will be expressed as;
(5×6) ... 2
Total score for an additional 4 points for the bonus question will be "4"
Expression for her total score will be the sum of all the expression above as thus:
(3×18) + (5×6) + 4
Taking the sum, her score will be:
= (3×18) + (5×6) + 4
= 54 + 30 + 4
= 84 + 4
= 88 points
The required expression will therefore be:
(3×18) + (5×6) + 4
Her total score is 88points
Learn more about sum here: brainly.com/question/16397188
given that S=180(n-2)
a) if n-9, find the value of S
Answer:
1260
Step-by-step explanation:
S=180(9-2)
S=180(7)
S=1260
Answer:
S = 1260Step-by-step explanation:
[tex]S=180(n-2) \\ n = 9[/tex]
Substitute 9 for n
[tex] S=180(9 - 2) \\ S = 180(7) \\ S = 180 \times 7 \\ S = 1260[/tex]
What is the volume of the cylinder?
•576 cm3
•2887 cm3
•96 cm3
•192 cm3
[tex] \large\begin{gathered} {\underline{\boxed{ \rm {\red{Volume \: \: of \: \: cylinder \: = \: \pi \: {r}^{2} \: h }}}}}\end{gathered}[/tex]
r represents radius of cylinder.h represents height of cylinder.So ,r = 6 cmh = 16 cmπ = 3.14Substuting the values⇥Volume of the cylinder = π r² h
⇥Volume of the cylinder = 3.14 × 36 × 16
⇥Volume of the cylinder = 113.04 × 16
⇥Volume of the cylinder = 1808.64
Hence , the volume of cylinder is 1808.64 cm²
Pleeeeease help
For each set of figures, show how the green colored tiles in the border can be grouped to allow for quick calculation. Each set of figures has two figures of different sizes for you to work with; use a different grouping method on each and provide a mathematical expression that connects with your grouping method.
The sequence or object patterns can be used to find exact values when the level of the pattern increases or decrease
The mathematical expression that connects the number of tiles and the grouping method is presented as follows;
tₙ = 9 + (n - 1)× 3
Reason:
Known parameter:
From the given diagram, we have that the number of green tiles = 18
Question: The missing parts of the question are;
Grouping method 1 having 15 green colored tiles with Figure size 3
We have;
Grouping method 1
The figure size number of the shape with 15 green colored tiles = 3
Grouping method 2, figure size 4
The figure size number of the shape with 18 green colored tiles = 4
By examination, we get;
The size number of the shape with 12 green colored tiles = 2
The size number of the shape with 9 green colored tiles = 1
Therefore the sequence is an arithmetic progression having the following characteristics;
nth term, tₙ = a + (n - 1)·d
The first term, a = 9
The common difference, d = 3
The mathematical expression that connects the grouping methods above, and gives the number of green tiles, tₙ, is tₙ = 9 + (n - 1)× 3
Where;
n = The grouping method number
For easy calculation;
The number of green tiles is given by the equation, tₙ = 9 + (n - 1)× 3
Learn more about number sequence here:
https://brainly.com/question/12474324
The membership fee for joining a gardening association is
$24 per year. A local botanical garden charges members of the gardening association
$3 for admission to the garden. Nonmembers of the association are charred $6.
After how many visits to the garden is the total cost for members, including the
the total cost for nonmembers?
Hi.
Let's call X number of visits.
so members pay for a year : membership 24 and reduce entrance at 3 dollars.
so you member pay : 3X+24
a non member pay entrance fee of 6 for each visit.
so 6X
Question : for how many visit would a membership will be more intresting than standar entrance ?
3X+24 = 6X
3X-6X = -24
-3X=-24
X= -24/-3
X =24/3
X= 8
Under 8 visit a year, it's cheaper non being a member.
at 8 entrance cost is the same for members and non member. After it better to choose membership as
9 entrances for member is : 3x9 +24 = 27+24= 51
non member : 9x6 = 54
And so on for each supplementary visits.
y - (-2) = 2/3( x - 1) divide each side by 3/3
first simplify the equation and then divide by 3/3 it will give you the correct answer.
hope it helps...
Step-by-step explanation:
[tex]y - ( - 2) = \frac{2}{3} (x - 1) \\ \\ y + 2 = \frac{2}{3} (x - 1) \\ dividing \: each \: side \: by \: \frac{3}{3} \\ \\ \frac{3}{3} (y + 2) = \frac{2}{3} \times \frac{3}{3} (x - 1) \\ \\ y + 2 = 2 \times 3(x - 1) \\ y + 2 = 6(x - 1) \\ y + 2 = 6x - 6 \\ y = 6x - 6 - 2 \\ y = 6x - 8[/tex]
Given that the point (-2,8) is on the graph of an equation that is symmetric with respect to the x-axis, what other point is on the graph?
(Type an ordered pair)
If -10x = 5 what is the value of x
Answer:
x = -1/2
Step-by-step explanation:
-10x = 5
Divide both sides by -10.
x = -1/2
Please help!!! 20 points + brainliest!!
6 + (-47) =
Well, all we have to do is add, so:
6 + (-47) =
6 - 47 =
-41
Answer:
(-41)
Step-by-step explanation:
Subtract and write big numbers sign.
47 - 6= (-41)
Lilian is building a swimming pool in the shape of a right rectangular prism. The area of the base of the swimming pool is 72 square meters. The depth of the swimming pool is 3 meters. What is the volume of the swimming pool?
Answer:
its easy as making a cake
Step-by-step explanation:
always remember that
volume of a rectangular prism = area of the base x depth
AND
volume = 72
depth. = 3
it means we have to multiply 72 with 3
so we get
72 x 3 = 216
it means that the volume of the swimming pool is 216.
hope it helps you
have a nice day dear
PLEASE HELP!!!! I’m about to rip my hair out over this.
1. A ball is thrown into the air at an initial velocity of 18 meters per second from an initial height of 10 meters. The equation that models the path of the ball is given by h=-4.9t^2+18t+10. When does the ball reach its Maximum height?
2. A ball is thrown into the air at an initial velocity of 18 meters per second from an initial height of 10 meters. The equation that models the path of the ball is given by h=-4.9t^2+18t+10. When does the ball hit the ground?
3. A ball is thrown into the air at an initial velocity of 18 meters per second from an initial height of 10 meters. The equation that models the path of the ball is given by h=-4.9t^2+18t+10. How high is the ball at 3 seconds?
4. Logan is doing a handstand dive from a 12 meter platform. The equation that models the path of her dive is given by h=-4.9t^2+12, where t is seconds. At what height will she be after 1 second?
I absolutely hate math with all of my heart.
Step-by-step explanation:
1. The equation graph is a parabola, so the maximum height will be the vertex of the parabola. You can find the vertex coordinate t using the formula:
t = -b/2a
t = -18/2•(-4.9)
t = -18/-9.8
t = 1.84 seconds
2. The height of the ground is 0, so the balls hit the ground when the equation result is 0:
0 = -4.9t²+18t+10
Now you solve it using Bhaskara:
Δ = b² -4ac
Δ = 18² -4•(-4.9)•10
Δ = 520
t = (-b ±√Δ)/2a
t = (-18 ± √520)/2•(-4.9)
t1 = (-18 - 20.8)/-9.8
t1 = 3.96 seconds
t2 = (-18 +20.8)/-9.8
t2 = -0.28
Doesn't exist negative time, so we pick the first value found, t = 3.96 seconds
3. Now you just need to put 3 in place of t to find the result:
h = -4.9•3² +18•3 +10
h = -4.9•9 + 54 + 10
h = -44.1 + 64
h = 19.9 meters
4. You just need to put 1 in place of t to find the height:
h = -4.9•1²+12
h = -4.9+12
h = 7.1 meters
Observe the below figure and answer.
Answer:
the answer is 5
Step-by-step explanation:
11 substract 6 is equal to 5
Help pleaseee, I’ll give brainly!
Answer:
1) 6r+7=13+7r —> 7r–6r=7–13 —> r = – 6
2) 13–4x=1–x —> 4x–x=13–1 —> 3x=12 —> x=12/3 —> x=4
3)–7x–3x+2=–8x–8 —> –8x+7x+3x=2+8 —> 2x=10 –> x= 10/2 –> x= 5
4)–8–x=x–4x —> –x–x+4x=8 —> 2X=8 —> x= 8/2 —> x= 4
5) –14+6b+7-2b=1+5b —> 5b +2b –6b = –14+7–1 —> b=–8
6) n+2=–14–n —> n+n=–14–2 —> 2n = –16 —> n = – 16/ 2 —> n = – 8
7) n – 3n = 14 –4n —> n –3n + 4n = 14 —> 2n = 14 —> n = 14/ 2 —> n = 7
8) 7a – 3 = 3 + 6a —> 7a – 6a = 3 + 3 —> a = 6
9) 3(1–3x ) =2(–4x+7) —> 3 –9x = –8x+14 —> 9x–8x = 3–14 —> x = –11
10) –10 +x+4–5 =7x –5 —> 7x–x = –10+4–5 +5 —> 6x = –6 —> x= –6/6 —> x = –1
11) –8n +4(1+5n)=–6n–14 —> –8n +4 + 20n = – 6n– 14
20n –8n +6n= –14 –4 —> 18n = – 18 —> n = –18/18 —> n = –1
12) –6n–20=–2n +4(1–3n) —> –6n –20 = – 2n +4 –12n —> 12n +2n –6n = 4 +20 —> 8n =24 —> n = 24/8 —> n =3
I hope I helped you^_^
Answer:
1.
6r + 7 = 13 +7r
6r - 7r = 13-7
-r = 6
r = 6
2.
13 - 4x = 1-x
-4x +x = 1 -13
-3x = -12
x = -12 / -3
x = 4
3.
-7x - 3x + 2 = -8x -8
-10x +2 = -8x -8
-10x +8x = -8 -2
-2x = -6
x = -6 / -2
x = 3
4.
-8 - x = x- 4x
-8 - x = -3x
-x + 3x = -8
2x = -8
x = -8 / 2
x = -4
5.
-14 + 6b + 7 -2b = 1 + 5b
-7 + 4b = 1 + 5b
4b - 5b = 1 + 7
-b = 8
b = -8
6.
n + 2 = -14 -n
n + n = -14 -2
2n = - 16
n = -16 / 2
n = -8
7.
n - 3n = 14 -4n
-2n = 14 - 4n
-2n +4n = 14
2n = 14
n = 14 /2
n = 7
8.
7a - 3 = 3 + 6a
7a - 6a = 3 +3
a = 6
9.
3 ( 1 - 3x ) = 2 (-4x + 7)
3 - 9x = -8x +14
-9x +8x = 14 - 3
-x = 11
x = -11
10.
-10 + x + 4 - 5 = 7x - 5
-10 +x -1 = 7x - 5
-11 + x = 7x - 5
-11 + 5 = 7x -x
-6 = 6x
x = -6/6
x = -1
11.
-8n + 4 ( 1 + 5n ) = -6n -14
-8n + 4 + 20n = -6n -14
12n +4 = -6n -14
12n + 6n = -14 -4
18n = -18
n = -18/18
n = -1
12.
-6n - 20 = -2n + 4 ( 1 - 3n)
-6n - 20 = -2n + 4 - 12n
-6n - 20 = -14n +4
-20 -4 = -14n +6n
-24 = 8n
n = -24/8
n = -3
3.Find the area of Triangle and Parallelogram having base 13.5cm and height is 18cm.
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}Base\times Height[/tex]
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(18)(13.5)[/tex]
[tex]\\ \sf\longmapsto Area=9(13.5)[/tex]
[tex]\\ \sf\longmapsto Area=121.5cm^2[/tex]
Mary Ore and Tobi are to share 142naira such that Ore gets 11naira less than Mary and 7naira more than Tobi . How much is Tobi's share?
Answer:
₦40.30
Step-by-step explanation:
Step 1: Find how much each person gets equally
Divide 142 by 3
[tex]142 \div 3\\\\= 47.3[/tex]
Each person's share is ₦47.3
Step 2: Find out how much Ore, Tobi, and Mary has
Subtract 11 from Ore's share
[tex]47.3 - 11\\\\= 36.3[/tex]
Add that 11 to Mary's share
[tex]11 + 47.3\\\\= 58.3[/tex]
Subtract 7 from Tobi's share
[tex]47.3 - 7\\\\= 40.3[/tex]
Add that 7 to Ore's now-share
[tex]36.3 +7\\\\=43.3[/tex]
Tobi's share is 40 naira and 30 kobo
Extra Info:
To see if it is correct, confirm the answer by adding all their shares.
Х
49°
X =
degrees
What do I do
Answer:
x = 139
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angle
x = 49 +90
x = 139
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
[tex] \bf \large \implies \: x \: = \: 49 \degree \: + \: 90 \degree[/tex]
[tex] \bf \large \implies \: x \: = \: 139 \degree [/tex]
Will give Brainly
Find the probability that a
randomly
selected point within the circle falls
in the red shaded area.
60°
60°
r= 4 cm
[? ]%
Round to the nearest tenth of a percent.
Answer:
mate....where is red shaded region....
probably this will help ..... ;)
find the probability that a randomly selected point within the circle falls in the red shaded area
https://brainly.com/question/14113463?utm_source=android&utm_medium=share&utm_campaign=question
Sabrina is 4, and her brother Sam is 9 years older than she is. In how many years will Sam be twice as old as Sabrina?
The price of a hamburger is 3 dollars. what is the price of 90 hamburgers?
Cost of each Hamburger = $3
Cost of 90 Hamburgers = 3×90
= $270
Therefore cost of 90 hamburgers is $270
Must click thanks and mark brainliest
What fraction can we use to rename 1/2 as tenths?
Answer:
5/10
Step-by-step explanation:
Hope it helped you
I am not confident, so feel free to give me less rating
What is the sign of y = £?
y
Choose 1 answer:
A
Positive
B
Negative
Zero
Answer:
I'm pretty sure is
Positive b
ILL GIVE BRAINLIEST!!!!!
write a subtraction number line model. -10 -8 -6 -4 -2 0 2 4 6 8 10
Answer:
blue line 0-(3)=-3
Red line -3-(6)=-9
please help me !! :)
Answer:
a is the correct answer for f(x
Please Help and thank you so much!!
what is the slope of the line? please help
Answer:
Here, we see that the slope (m) equals -1.
Step-by-step explanation:
m=Rise/Run
-2/2=-1
Hope it helps:)
Pls help I’ll give brainlist
Step-by-step explanation:
21 ÷ 6 = $ 3. 50 each
I hope this answers your question
Answer:
The price for one comic book is $3.5
A Boy obtained 80 percent marks.If the full marks is 800,how much did he get?
9514 1404 393
Answer:
640 marks
Step-by-step explanation:
80% of 800 is ...
0.80 × 800 = 640
He got 640 marks.
please help. . . .. .
