67.50 + 12.50 = 80
80/100 = 0,8 x 3 = 2.4
so, the total bill was 80 + 2.4 = 82.4
hope it helps :)
Q:1)A ball is thrown upwards and it goes to the height of 100meter and comes down. What is the net displacement?
Q:2)An athlete completes one round of a circular track of diameter 200m in 30 seconds. Find the distance covered by the athlete at the end of 30 second.
$\sf\underline\bold{Question:1-}$
A ball is thrown upwards and it goes to the height of 100meter and comes down. What is the net displacement?
$\sf\underline\bold{Solution}$
$\sf{According \: to\:the\: question,}$
Displacement for the above situation is 0. As we know, that displacement is the shortest path from the initial to the final point. Here, the initial and the final points are the same, and henceforth, it takes no time to travel. So the displacement is 0.
_________________________$\sf\underline\bold{Question:2-}$
An athlete completes one round of a circular track of diameter 200m in 30 seconds. Find the distance covered by the athlete at the end of 30 second.
$\sf\underline\bold{Solution:}$
$\sf\bold{Given\:parameters:}$
$\sf\small{☆The\:diameter\:of\:the\:circular\:track:200m}$
$\sf{Radius=}$ $\sf\dfrac{200}{2}$ → $\sf\underline{Radius = 100m}$
☆Time taken by an athlete to complete one round : 30 seconds.
$\space$
$\sf\bold{To\:find:}$
❍Distance travelled by an athlete in 30 seconds.
$\space$
❍ AND,Distance travelled by the athlete will be equal to the cumference of the circle.
$\space$
$\space$ $\space$ $\space$ $\space$ $\space$ $\space$ $\sf{So,}$
$\mapsto$ $\sf{Circumference\:of\:the\:circle: 2 πr}$
$\space$
$\mapsto$ $\sf{Circumference=2\times}$ $\sf\dfrac{22}{7}$ $\sf{\times 100}$
$\space$
$\mapsto$ Circumference of the circle : $\sf\dfrac{4400}{7}$
$\space$
[tex]\sf\underline\bold{∴Circumference = 628.57m}[/tex]
$\space$
||Therefore,The distance travelled in 30 seconds, by the athlete is 628.57m.||
______________________0 = 1st answer
628.57 m = Question 2 answer.
Find the missing side. Round it to the nearest tenth
Can someone help me with this? 20 points
Answer:
Step-by-step explanation:
Triangle ABC is a 45-45-90 right triangle. That means that segment BC also measures 10.
The big triangle as a whole is a 30-60-90. The side length across from the 30 degree angle is 10, so the whole length of BD is 10√3. However, since we already have the length of BC as 10, then segment CD measures
10√3 -10 which is 7.32
Please help me solve this giys
Answer:
(0, -2)
(-3, 1)
(3, -4)
Step-by-step explanation:
The constraints given as;
x + y ≥ -2
3x - y ≤ 2
x - y ≥ -4
Since we want to find vertices of the feasible region, we will ignore the less than or greater than sign and use the equal to sign to some simultaneously.
Let's add first and third constraint together to get;
2x = -6
x = -6/2
x = - 3
Put - 3 for x in equation 1 to get;
-3 + y = -2
y = 3 - 2
y = 1
Thus, vertex here is; (-3, 1)
Lets add first and third equations to get;
4x + 0 = 0
Thus, x = 0
Putting this for x in eq 1;
0 + y = -2
y = -2
vertex here is; (0, -2)
Lets subtract eq 3 from eq 2 to get;
2x = 6
x = 6/2
x = 3
Put 3 for x in eq 3;
x - y = -4
vertex here is; (3, -4)
Solve for x and y. Write any radical answers as "sqrt( )" or "squareroot( )".
Answer:
x = 4 and y = 8
Step-by-step explanation:
This is a special right triangle with angle measures 90-60-30 degrees
The side lengths are like the following :
The side length that sees 90 degrees is represented with a
The side length that sees 60 degrees is represented with a[tex]\sqrt{3}[/tex]
The side length that sees 30 degrees is represented with 2a
now, the angle measure that sees 60 degrees is given as 4[tex]\sqrt{3}[/tex] so we understand that a is = 4 that's how we find the value of x and y
A game decreased in price by
2
3
. After the reduction it was priced at £17. What was the original price of the game?
Answer:
51
Step-by-step explanation:
Connie the fruiterer sells two fruit packs.
Pack 1 : 10 apples and 5 mangoes ($12)
Pack 2 : 15 apples and 4 mangoes ($14.15)
Determine the cost of 1 apple and 5 mangoes.
Jin runs a 50-meter dash, he runs 6 times a day. Last week he ran 4 day and this week he ran 5 days in these 2 weeks how many kilometers did he run
Answer:
2.7 kilometers
Step-by-step explanation:
Distance per run = 50 meters
Number of run per day = 6
Distance run per day = Distance per run * Number of run per day
= 50 meters * 6
= 300 meters
Last week he ran 4 day
Total distance run last week = Distance run per day * number of days
= 300 meters * 4
= 1200 meters
this week he ran 5 days
Total distance run this week = Distance run per day * number of days
= 300 meters * 5
= 1500 meters
Total distance for two weeks = Total distance run last week + Total distance run this week
= 1200 meters + 1500 meters
= 2700 meters
1000 meters = 1 kilometer
2700 meters = 2700/1000
= 2.7 kilometers
Total distance for two weeks = 2.7 kilometers
Visualise 4.26 on the number line, up to 4 decimal places.
Answer:
is it 4.2626
Step-by-step explanation:
let me know if it right
find find x in the diagram with angle 56 degree
dilations geometry help please
Multiply x and y by 2:
A. (-6, 4)
B. (2, 2)
C. (-2, -2)
Cuantos años hay que tener un capital de 8500 euros a un redito de 3,75% para que produzca un interes de 2868,75 euros?
Respuesta:
9 años
Explicación paso a paso:
Dado :
Capital = Principal, P = 8500 €
Rendimiento, tasa, r = 3,75%
Intereses, i = 2868,75 €
Para obtener el plazo, número de años que se necesitarán para devengar un interés de 2868,75 € sobre un capital de 8500 € al tipo del 3,75%;
Interés = principal * tasa * tiempo
2868,75 € = 8500 € * 0,0375 * t
2868,75 € = 318,75 billones €
t = 2868,75 € / 318,75 €
t = 9
Por lo tanto, tomará un período de 9 años.
Please help me with this problem.
Answer:
Step-by-step explanation:
Remark
The cos(60) = 1/2
The radii marked 6 is the adjacent side. You have to solve for the hypotenuse.
Why?
Because the hypotenuse is the distance from the center of the circle to the point of intersection of the angle. Once you have the hypotenuse, you can find the length of the tangent, which will lead to the area of the kite. Then take away 1/3 the area of the circle.
Hypotenuse
Cos(60) = 1/2
cos(60) = adjacent / hypotenuse Multiply both sides by the hypotenuse
hypotenuse * cos(60) = adjacent Divide by Cos(60)
hypotenuse = adjacent / cos(60)
adjacent = 6
hypotenuse = 6/0.5
hypotenuse = 12
Tangent
tangent^2 = 12^2 - 6^2
tangent^2 = 144 - 36
tangent^2 = 108
tangent = sqrt(108)
tangent = 6sqrt(3)
Triangles
The area of the triangle = 1/2 6sqrt(3) * 6
The area of the triangle = 18 sqrt(3)
There are two triangles so the area = 36 sqrt(3) That's the area of the kite.
Circle sector.
Area of the circle sector = 1/3 * pi * r^2
r = 6
Leave pi as it is.
Area of the circle sector = 1/3 * pi * 6^2
area of the circle sector = 12 pi
Answer
Area of the red part = area of the triangles - the area of circle sector
Area of the red part = 36*sqrt(3) - 12* pi
Kyle brough a case of 24 12 ounce bottles of water.He drank the same amount of water each day and finished the case after 3 days.How many onces of water did kyle drink each day?
Answer:
96 ounces each day
Step-by-step explanation:
Divide the 24 bottles by 3
24/3 = 8
8bottles per day
8 bottles *12 ounces per bottle
96 ounces each day
PLS HELP MY PARENTS R GOING TO HIT ME
Answer:
There are 104 nickels and 33 quarters
Step-by-step explanation:
Start of with the equation N = 3Q + 5. q is the amt of quarters n is the nickels. Then substitute Q with 33 since that is the amount of quarters and solve the equation for the amount of nickels that there are.
abc or d please help me!
Answer:
A
Step-by-step explanation:
Cuz that’s the only graph that goes with the statement.
on this graph it’s saying the cost of 3 hair accessories is $10.
X = 3
Y = 10
Write the phrase as a variable expression. Use x to represent "a number."
5) The quotient of a number and 9, decreased by 4
Answer:
a/9 - 4
Step-by-step explanation:
The expression will be (x/9) - 4.
It is given that a number x is the quotient of a number and 9 decreased by 4.
We have to find the variable expression for this.
What will be the expression for , 2 times of a number minus 4 ?
The expression will be 2x -4.
Quotient of a number and 9
= x / 9
Decrease this by 4 ; we get
= (x / 9 ) - 4
Thus , the expression will be (x/9) - 4.
To learn more about algebraic expression click here ;
https://brainly.com/question/2164351
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3(8 – 4x) < 6(x – 5)
Answer:
[tex]3\left(8-4x\right)<6\left(x-5\right)[/tex]
[tex]3(8-4x)=241-2x[/tex]
[tex]6(x-5)=6x-30[/tex]
[tex]24-12x<6x-30[/tex]
Subtract 24 from both sides
[tex]-12x<6x-54[/tex]
Now, subtract 6x from both sides
[tex]-18x<-54[/tex]
Multiply both sides by -1
[tex]18x>54[/tex]
Divide 18 from both sides
[tex]x>3[/tex]
OAmalOHopeO
if you are good at graphs help!!!
Create a mapping notation/rule for these relations
y= (-x/2 + 2)^3
y = 2/x + 3
BRAINLIEST!!!
Answer:
Step-by-step explanation:
easy algebra question below first correct answer gets brainliest
Answer:
3
Step-by-step explanation:
Easy pythagorean theorum question.
The law states that "A squared plus B squared, equals C squared."
A and B are the two sides that border the 90 degree mark.
C is the hypotenuse or the longest side/diagonal.
Since we know C and A (I chose to use A because why not) we can fill in the equation with what we know
2^2 + ?^2 = [tex]\sqrt{13^{2} }[/tex]
So
4 + ?^2 = [tex]\sqrt{13^{2} }[/tex]
Since the 13 is already squared in side of a root, it stays as 13
4 + x^2 = 13
4 - 4 + x^2 = 13 - 4
x^2 = 9
x^2 root = root of 9
x = 3
The missing side is 3.
Or you could use an online calculator xD
Find the length of the third side .
Answer:
a^2 + b^2 = c^2
4+16 = c^2
20 = c^2
c = [tex]\sqrt{20}[/tex] = [tex]2\sqrt{5}[/tex]
Step-by-step explanation:
Answer please be quick
Answer:
B
Step-by-step explanation:
The correct answer is B
Find the volume of the cylinder please
Answer:
216
Step-by-step explanation:
π=3
r=3
h=8
so,
πr²h
= 3×3²×8
= 216
Answered by GAUTHMATH
Giving brainliest! View image!
Answer:
58%
Step-by-step explanation:
10*5=50
7*3=21
21/50 chance to choose inside small rectangle
21/50*2 = 42/100 chance to choose inside small rectangle
100-42=58%
Find the measure of PR.
PLEASE HELP ASAP!!
A. 18
B. 19
C. 25
D. 22
Answer:
A. 18
Step-by-step explanation:
the equation :
RF×RS = PR×RQ
16×9 = PR × 8
144 = PR×8
PR = 144/8
PR = 18
If the length of FR is 16 units then the length of PR is 18 units which is option A.
What is circle?Circle is a figure whcih is having an arc showing points which are at equidistant from the centre point. The distance of arc from the centre point is known as radius.
How to find length?From the rule of tangents and point outside the circle we can say that,
RF×RS = PR×RQ
16×9 = PR × 8
144 = PR×8
PR = 144/8
PR = 18 units
Hence if the length of FR is 16 units then the length of PR is 10 units.
Learn more about circle at https://brainly.com/question/24375372
#SPJ2
If a circle has a RADIUS of 12 cm, what is the AREA rounded to the nearest tenth?
Step-by-step explanation:
R^2*3,14=12^2*3,14=452,16 làm tròn đến phần mười gần nhất là450
Need help ASAP with this question please
Answer:
4th option, 5 5/6
Step-by-step explanation:
8 1/2 - 2 2/3
= 17/2 - 8/3
= (51-16)/6
= 35/6
= 5 5/6
Answered by GAUTHMATH
A student states that the reflection of triangle ABC across the y-axis is triangle A’B’C’. Determine if the student is correct or has made an error. <:)
Answer: The student is not correct
To reflect over the y axis, you use this rule
[tex](x,y) \to (-x,y)[/tex]
The x coordinate swaps in sign (from positive to negative, or vice versa) while the y coordinate stays the same.
So for a point like A(1,1), it should move to A ' (-1, 1) and not (-2,1) like the diagram shows.
B(3,1) should move to B ' (-3, 1)
C(1,4) should move to C ' (-1, 4)
It appears that the student applied a reflection over the y axis, and then they shifted the triangle 1 unit to the left.
Class 10. Trignometry. Can you solve the 1st, 4th, 7th, 9th and 10th question. Best answer will be marked brainliest.
Please help me understand
Answer:
B. slope 1/4, y-intercept at ( 0, 5)
Step-by-step explanation:
slope m = change in y /chance in x = 5-4 / 0-(-4) = 1 / 4
the y-intercept is the point where the graph of the line intersects the y-axis so will have the coordinates (0 because x will be 0 if the point is on the y-axis, and y is a number) so is (0, a number)
we are given that one of the points is (x=0, y=5) so this is our y-intercept
OR
the slope intercept form equation of a line y= mx+b, where b is the y-intercept
y = (1/4)x +b, for the point (0, 5) we substitute x=0, and y=5
5 = (1/4)*0 +b
5 = b
