Answer:
Total number of matches need to win = 15
Step-by-step explanation:
Given:
Total number of race completed = 45
Total races win = 30
Success rate = 75% = 0.75
Find:
Total number of matches need to win
Computation:
Assume, extra number of matches = y
Extra number of win matches = x
So,
(30 + x) / (45 + y) = 0.75
Assume y = x
So,
(30 + x) / (45 + x) = 0.75
30 + x = 33.75 + 0.75 x
x = 15
Total number of matches need to win = 15
a man stride is 7/8 metre long. how many strides does he take in walking a distance of 98m
Answer:
112
Step-by-step explanation:
To find the number of strides, divide the distance by the distance per stride:
(98 m)/(7/8 m/stride) = (98)(8/7) strides = 112 strides
He takes 112 strides in walking 98 m.
How does a globe represent the fact that there are no parallel lines in elliptical geometry? A. The equator is not parallel to any other latitudinal lines. B. The north and south poles are never connected by a geodesic. C. The geodesics connecting the Nortj and South poles never intersect. D. The geodesics connecting the north and south poles intersect at both of the poles.
Answer:
The correct option is;
D. The geodesics connecting the North as South poles intersect at both of the poles
Step-by-step explanation:
As an analog to the straight line, the geodesic of a curved surface is the shortest path between two points on the curved surface
Whereby the Earth is assumed to be spherical, the geodesics around the Earth would then be closed circles and like the longitude and latitude, will meet at the North and South poles
However given that the Earth is an Oblate ellipsoid, Euclid's parallel postulate is not in effect and the geodesics connecting the North and South Poles Intersect at both poles.
The answer is Option D, option D is correct.
plz help me with this problem
p^2 - 36
Answer:
[tex]\large \boxed{ (p+6)(p-6) }[/tex]
Step-by-step explanation:
[tex]p^2 - 36[/tex]
Rewrite 36 as 6 squared.
[tex]p^2 - 6^2[/tex]
Apply difference of two squares formula:
[tex]a^2-b^2 =(a+b)(a-b)[/tex]
[tex]a=p\\b=6[/tex]
[tex]p^2 - 6^2=(p+6)(p-6)[/tex]
Answer:
since is its a possibility of 7 or 11 we add the individual probabilities
so the answer is 1/6+ 1/18=3/18+1/18=4/18=2/9
2/9.
I hope now you'll understand
Find each rate and unit rate.
420 miles in 7 hours
Answer:
60 miles per hour.
Step-by-step explanation:
420 miles in 7 hours is the same thing as (420 / 7) = 60 miles per hour.
Hope this helps!
Answer:
60 miles / hour
Step-by-step explanation:
The unit rate will be the number of miles in 1 hour. Therefore, we must divide the miles by the hours.
miles/hours
We know it is 420 miles in 7 hours.
420 miles / 7 hours
Divide 420 by 7
420/7=60
60 miles/ hour
The unit rate is 60 miles per hour.
what is the image (-9,-2) after a reflection over the x-axis ?
Answer:
(-9,2)
Step-by-step explanation:
The rule for reflecting over the x axis is
(x,y)→(x,−y)
(-9, -2) becomes ( -9, - -2) = (-9,2)
Answer:
(-9,2)
Step-by-step explanation:
It will be -9,2 because when you reflect across x axis you change the y axis not the x axis because if you imagine it it works like that
Angle A is circumscribed about circle O. What is the measure of angle O? 46
Answer:
m<O = 134°
Step-by-step explanation:
OC = OB = radius of the circle
AC = AB = tangents of circle O
m<C = m<B = 90°. (Tangent and a radius always form 90°)
m<A = 46°
Therefore,
m<O = 360° - (m<C + m<B + m<A) => sum of angles in a quadrilateral.
m<O = 360° - (90° + 90° + 46°)
m<O = 360° - 226°
m<O = 134°.
Measure of angle A = 134°
This figure shows how to create a six-pointed star from twelve equilateral triangle tiles: (SEE FIGURE ATTACHED) If each of the original tiles has a perimeter of 10 cm, what is the perimeter of the final star in cm?
Answer:
Perimeter of the final star = 40 cm²
Step-by-step Explanation:
The perimeter of the six-pointed star is the sum of the sides of the 6 equilateral triangles that form a boundary around the star.
1 triangular tiles gas a perimeter of 10cm.
Only 2 out of the 3 equal sides of each of the 6 equilateral triangles form the boundary of the final star.
Therefore, perimeter of the final star = ⅔ of the total perimeter of 6 triangular tiles
= ⅔ of (10*6)
= ⅔*60
= 2*20
Perimeter of the final star = 40 cm²
this question is difficult. can someone explain plz! asap
Answer:
See below.
Step-by-step explanation:
Central angles AOB and DOC are vertical angles, so they are congruent.
m<AOB = 50°
BD is a diameter, so the measure of central angle BOD is 180°.
The measure of an arc of a circle is equal to the measure of the central angle that subtends it.
m<AOB + m<AOE + m<EOD = 180°
50° + m<AOE + 60° = 180°
m<AOE + 110° = 180°
m<AOE = 70°
m(arc)AE = m<AOE = 70°
m(arc)AB = m<AOM = 50°
A full circle has 360 deg of central angle and of arc measure.
m(arc)ECB = 360° - m(arc)AE - m(arc)AB
m(arc)ECB = 360° - 70° - 50°
m(arc)ECB = 240°
Angle BOC is vertical with angle AOD.
m<BOC = m<AOD = m<AOE + m<EOD
m<BOC = 70° + 60°
m<BOC = 130°
WILL GIVE BRAINLIEST!!!
Answer:
2 x^2 sqrt(13)
Step-by-step explanation:
sqrt( 52x^4)
sqrt( 4*13 * x^2 * x^2)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt( 4)*sqrt(13) *sqrt( x^2) *sqrt( x^2)
2 sqrt(13) x*x
2 x^2 sqrt(13)
52|2
26|2
13|13
1
[tex]\sqrt{52x^4}=\sqrt{2^2\cdot13\cdot(x^2)^2}=2x^2\sqrt{13}[/tex]
The cost of a cycle is $ 950 and that of a scooter is $ 23,500. He sold them together for $ 25,000. Find his profit.
actual cost is 950+23,500=24450
he sold them for 25000 so his profit is 25000-950-23500=550
Answer:
A cycle + A scooter
= 950 + 23,500
= 24,450
Profit = Sold - cost
= 25,000 - 24,450
= 550
So the profit is $550
luis almuerza 1/3 de una pizza y juan 2/5 de la misma si deciden distribuirse el resto de la pizza en partes iguales determina que fraccion le tocaria a cada uno
Answer:
A cada uno le toca:
2/15
del total de la pizza.
Step-by-step explanation:
1/3 + 2/5 = 5 / 15 + 6 / 15 = 11/15
los dos, inicialmente, han almorzado
11/15
de la pizza.
Si el resto lo dividen en dos partes:
15/15 - 11/15 = 4/15
el resto es de 4/15
al dividir este resto entre los dos:
(4/15) / 2 = 4/(15*2) = 4/30 = 2/15
A cada uno le tocarían:
2/15
del total de la pizza
Think of a value for a and a value for x so that the triangles are still similar.
Answer:
x=6
a=9
Step-by-step explanation:
Because 21 is 1.5 times 14, and 15 is 1.5 times 10, a has to be 1.5 times x. Also, x must be more than 4 in order for it to make a triangle. To make it simple, I'd use either 6 or 8. Just for ease, I'll use 6.
x=6
a=6*1.5=9
Find the square root of 2601 by prime factorization (USE MULTIPLICATION METHOD TO SOLVE THE ABOVE QUESTION)
2601|3
867|3
289|17
17|17
1
[tex]\sqrt{2601}=\sqrt{3^2\cdot17^2}=3\cdot17=51[/tex]
Find the area of the following rectilinear figure.
Answer:
Area : 14+10+40=64 square unit
Step-by-step explanation:
the area of the top rectangle with sides 2 and 7
A=2*7=14 square unit
the area of the middle rectangle with sides : (7-5)=2 and side (7-2)=5
Area=5*2=10 square unit
the bottom rectangle : sides 10 and 4
Area=10*4=40
add the areas : 14+10+40=64 square unit
Write the expression -5x(4+3x) using words
Answer:
negative five times x, parenthesis four plus three times x
Step-by-step explanation:
Hey there!
Well,
-5x ⇒ negative 5 times x
(4 + 3x) ⇒ parenthesis four plus three times x
Hope this helps :)
ASAP how many solutions are there for the system of equations shown on the graph?
Answer: Infinitely many solutions
Step-by-step explanation:
The lines is on top of each other so this makes it many solution.
It can't be NO solution because the lines are not parallel to each, which means they will not intersect.
It can't be one solution because the lines doesn't intersect.
It can't be two solutions because the lines never intersect and they never intersect twice either.
7.If 18, a, b, - 3 are in A.P., then a+b = ?
(1 Point)
1212
1515
1616
1111
please give the answer as fast as you can
please
Answer: 15
Step-by-step explanation:
General terms in AP
f, f+d, f+2d, f+3d, .... , where f= first term and d= common difference.
The given A.P. : 18, a, b, - 3
here, f= 18
[tex]f+d= a ...(i)\\\\f+2d = b ...(ii)\\\\f+3d= -3 ...(iii)\\\\[/tex]
Put f= 18 in (iii) ,
[tex]18+3d=-3\\\\\Rightarrow\ 3d= -3-18\\\\\Rightarrow\ 3d= -21\\\\\Rightarrow\ d=-7[/tex]
Put f= 18 and d= -7 in (i) and (ii) , we get
[tex]a=18+(-7)=11\\\\b=18+2(-7)\\\\\Rightarrow\ b=18-14\\\\\Rightarrow\ b=4[/tex]
Now, [tex]a+b= 11+4=15[/tex]
Hence, the correct answer is "15".
Triangle P Q R is shown. The length of P Q is 17, the length of Q R is 15, and the length of P R is 14. Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the measure of AngleP to the nearest whole degree? 35° 52° 57° 72°
Answer:
P = 57°
Step-by-step explanation:
Given the following :
PQ = 17
QR = 15
PR = 14
Using the cosine formula since the length of the three sides are given:
a2 = b2 + c2 – 2bccos(A)
To find P:
QR^2 = PQ^2 + PR^2 – 2(PQ)(PR)cos(P)
15^2 = 17^2 + 14^2 – 2(17)(14)cos(P)
225 = 289 + 196 - 476 cosP
476*CosP = 485 - 225
476*CosP = 260
CosP = 260/476
CosP = 0.5462184
P = Cos^-1(0.5462184)
P = 56.892029
P = 57°
Answer:
57 degrees
Step-by-step explanation:
just took the test on edg2020
Shalom, Guys! The Question is in the image down below! Love, Piper Rockelle
Answer:
see below
Step-by-step explanation:
(x³ + 9) / (x³ + 8)
= (x³ + 8) / (x³ + 8) + 1 / (x³ + 8)
= 1 + 1 / (x³ + 8)
Answer:
Your not piper
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words.
Find the sum of the finite geometric series.
Mr. Jamison deposited $100 into a new savings account on January 1. On the first day of each month thereafter, he deposited three times the amount he deposited in the previous month. On June 15 of the same year, the total amount Mr. Jamison has deposited is $
Answer:
$36,400
Step-by-step explanation:
Mr Jamison deposited $100 in January
February=3*100=$300
March=3{3(100)=3^2(100)=9*100=$900
April=3^3(100)=27*100=$2,700
May=3^4(100)=81*100=$8,100
June=3^5(100)=243*100=$24,300
Total amount=$100 + $300 + $900 + $2700 + $8100 + $24300
=$36,400
The total amount deposited by Mr Jamison on June 15 is $36,400
What is the area of the trapezoid shown below?
Answer:
180 units
Step-by-step explanation:
In order to solve this, we need to find the length of the missing side of the triangle using the Pythagorean theorem.
a²+b²=c²
a= 7
b=x
c= 25
7²+x²=25²
49+x²=625
Subtract 49 from both sides
x²=576
x=24
The length of the missing side of the triangle is 24, which is also the base of the triangle. We need to find the area of the triangle so we use the formula for the area of a triangle, A=1/2bh.
A= 1/2 (24 x 7)
A=84
Now, we need to find the area of the rectangle.
Formula for area of rectangle: A= bh
A= bh
A= 4 x 24
A= 96
Next, we add the areas of both shapes to get the area of the entire figure.
96+84=180
Area of figure= 180
Answer:
area = 180
Step-by-step explanation:
will make it simple and short
area of a trapezoid = (a + b) h/2
h = sqrt(25² - 7²) = 24
Area = (4 + 11) * 24/2
area = 180
I NEED HELP ON THIS QUESTION!!!! I WILL GIVE BRAINLIEST TO THE BEST ANSWER!!!!
Answer: Ruiz and greater
Step-by-step explanation:
I graphed them.
Consider the circle of radius 10 centered at the origin. Find an equation of the line tangent to the circle at the point (6, 8)
Answer:
y = -3/4 x + 25/2
Step-by-step explanation:
x² + y² = 100
Take derivative with respect to x.
2x + 2y dy/dx = 0
2y dy/dx = -2x
dy/dx = -x/y
Evaluate at (6, 8).
dy/dx = -6/8
dy/dx = -3/4
Use point-slope form to write equation:
y − 8 = -3/4 (x − 6)
Simplify.
y − 8 = -3/4 x + 9/2
y = -3/4 x + 25/2
Keenan currently does a total of 8 pushups each day. He plans to increase the number of pushups he does each day by 2 pushups until he is doing a total of 30 pushups each day. Which equation can we use to determine x, the number of days that it will take Keenan to reach his goal? In an expression
Answer:
Number of push up = 8 + 2x
Step-by-step explanation:
Keenan can do 8 push ups each day. He plans to do 2 extra day until he is doing 30 push ups. Each day he does an additional 2 push up, on the first day he does 8 + 2 = 10 push up, on the second day he does 10 + 2 = 12 push ups. This can be represented by the expression:
Number of push up = 8 + 2x
where x is the number of days.
To do 30 push ups, we can calculate the number of days needed:
30 = 8 + 2x
2x = 30 - 8
2x = 22
x = 11
Answer:
8+2x its from khan academy
Step-by-step explanation:
give person above brainliest :)
What is the image of (-1,-4) after a reflection over the line y=-x
Answer:
[tex]\huge\boxed{(4,1)}[/tex]
Step-by-step explanation:
The point is (-1,-4)
It is reflected over y = - x, So, the coordinate will be like: ( -y , -x )
So, when it is reflected over y = -x , it becomes (4,1)
When a point is reflected, it must be reflected over a line.
The image of (-1,-4) after a reflection over the line y=-x is (4,1).
The point is given as:
[tex]\mathbf{(x,y) = (-1,-4)}[/tex]
The rule of reflection over line y = -x is:
[tex]\mathbf{(x,y) \to (-y,-x)}[/tex]
So, we have:
[tex]\mathbf{(x,y) \to (-(-4),-(-1))}[/tex]
[tex]\mathbf{(x,y) \to (4,1)}[/tex]
Hence, the image of (-1,-4) is (4,1).
Read more about reflections at:
https://brainly.com/question/938117
can someone explain this please?
Answer:
3 + 2y = 2 + 4y
Step-by-step explanation:
1. Create the equation
3 + 2y = 2 + 4y
There are 3 "1" blocks and 2 "y" blocks on the left. There are 2 "1" blocks and 4 "y" blocks on the right. The scale shows both are equal.
Answer:
3 + 2y = 2 + 4y
Step-by-step explanation:
To create an equation from this model, we look at both sides of the scale. The left has three 1 units and two y units, and there are two 1 units and four y units on the right side. Since the scale shows that both sides are equal in weight, we know that our equation would have an equal sign to show they are equal.
Left: Three 1 units can be written as 3 and two y units could be written as 2y.
Right: Two 1 units can be written as 2 and four y units could be written as 4y.
Now, we put these values together (with an equal sign) to get:
3 + 2y = 2 + 4y.
Hope this helps!
PLEASE ANSWER THIS! I WILL GIVE AMAZING RATING IF FAST
Answer:
[tex]\boxed{\sf a) \ 120 \ km^2}[/tex]
Step-by-step explanation:
The surface area is the total area of the faces added together.
Area of 2 triangles + Area of 3 rectangles
The two cross-sections are the triangles.
Area of triangle = base × height × 1/2
Area of a rectangle = length × width.
4 × 3 × 1/2 + 4 × 3 × 1/2 + 9 × 3 + 9 × 4 + 9 × 5
6 + 6 + 27 + 36 + 45
= 120
what are the possible polynomial expression for dimensions of the cuboid whose volume is 12y2 + 8y -20
!
!
!
!
!
plz answer fast
Answer:
The answer is below
Step-by-step explanation:
The volume of a cuboid is the product of its length, height and breadth. It is given by:
Volume = length × breadth × height
Since the volume is given by the expression 12y² + 8y - 20. That is:
Volume = 12y² + 8y - 20 = 4(3y² + 2y - 5) = 4(3y² + 5y - 3y -5) = 4[y(3y + 5) -1(3y + 5)]
Volume = 4(y-1)(3y+5)
Or
Volume = 12y² + 8y - 20 = 2(6y² +4y - 10) = 2(6y² + 10y - 6y -10) = 2[y(6y + 10) -1(6y + 10)]
Volume = 2(y-1)(6y+10)
Therefore the dimensions of the cuboid are either 4, y-1 and 3y+5 or 2, y-1 and 6y+10
Answer:
plz mark me as brainiest
Bryan decides he wants to help pay for a birthday party for his little brother at the ice rink. It cost $50 to rent the party room and then $4 for each person attending. Bryan only has $100 to spend at the party. a) What are the constraints for this situation? b) Find the domain and range for this situation. Make sure you include all values for each using correct notation.
Answer:
a) 4*x + 50 ≤ 100
b) Domain x (0 ; 12 ) Range f(x) ( 50 ; 98 )
Step-by-step explanation:
The constraint is:
4*x + 50 ≤ 100 where "x" is the number of persons
b) Domain for x
x = 0 up to x = 12 x (0 ; 12 )
c) Range for f(x)
f(x) = 4*x + 50
f(0) = 4*0 + 50 f(0) = 50
f(12) = 4*12 + 50 f (12) = 98
f(x) ( 50 ; 98 )
A cyclist travels at $20$ kilometers per hour when cycling uphill, $24$ kilometers per hour when cycling on flat ground, and $30$ kilometers per hour when cycling downhill. On a sunny day, they cycle the hilly road from Aopslandia to Beast Island before turning around and cycling back to Aopslandia. What was their average speed during the entire round trip?
Answer:
Average speed during the trip = 24 km/h
Step-by-step explanation:
Given:
Speed of cyclist uphill, [tex]v_1[/tex] = 20 km/hr
Speed of cyclist on flat ground = 24 km/h
Speed of cyclist downhill, [tex]v_2[/tex] = 30 km/h
Cyclist has traveled on the hilly road to Beast Island from Aopslandia and then back to Aopslandia.
That means, one side the cyclist went uphill will the speed of 20 km/h and then came downhill with the speed of 30 km/h
To find:
Average speed during the entire trip = ?
Solution:
Let the distance between Beast Island and Aopslandia = D km
Let the time taken to reach Beast Island from Aopslandia = [tex]T_1\ hours[/tex]
Formula for speed is given as:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
[tex]v_1 = 20 = \dfrac{D}{T_1}[/tex]
[tex]\Rightarrow T_1 = \dfrac{D}{20} ..... (1)[/tex]
Let the time taken to reach Aopslandia back from Beast Island = [tex]T_2\ hours[/tex]
Formula for speed is given as:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
[tex]v_2 = 30 = \dfrac{D}{T_2}[/tex]
[tex]\Rightarrow T_2 = \dfrac{D}{30} ..... (2)[/tex]
Formula for average speed is given as:
[tex]\text{Average Speed} = \dfrac{\text{Total Distance}}{\text{Total Time Taken}}[/tex]
Here total distance = D + D = 2D km
Total Time is [tex]T_1+T_2[/tex] hours.
Putting the values in the formula and using equations (1) and (2):
[tex]\text{Average Speed} = \dfrac{2D}{T_1+T_2}}\\\Rightarrow \text{Average Speed} = \dfrac{2D}{\dfrac{D}{20}+\dfrac{D}{30}}}\\\Rightarrow \text{Average Speed} = \dfrac{2D}{\dfrac{30D+20D}{20\times 30}}\\\Rightarrow \text{Average Speed} = \dfrac{2D\times 20 \times 30}{{30D+20D}}\\\Rightarrow \text{Average Speed} = \dfrac{1200}{{50}}\\\Rightarrow \bold{\text{Average Speed} = 24\ km/hr}[/tex]
So, Average speed during the trip = 24 km/h
