Answer:
131.58 feet
Step-by-step explanation:
Let the coordinates of the entrance be (0, 0). Since the Ferris wheel is located 95 feet east and 156 feet north of the entrance, its coordinates are (95, 156). Also, the swings are located 23 feet west and 124 feet north of the entrance. The coordinates of the swings are (-23, 124).
So, we find the distance, d between the Ferris wheel and the swing using
d = √[(x₂ - x₁)² + (y₂ - y₁)²] where d is the distance between coordinates (x₁, y₁) and (x₂, y₂).
Now (x₁, y₁) = (95, 156) and (x₂, y₂) = (-23, 124)
So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(-23 - 95)² + (124 - 156)²]
d = √[(-118)² + (-68)²]
d = √[13924 + 4624]
d = √18548
d = 136.191 feet
Since Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, his distance from the Ferris wheel is d' = 3d/8 = 3 136.191/8 = 51.072 feet ≅ 51.07 feet
We now calculate the distance d' of the Ferris wheel to the gate. Since the coordinates of the gate are (0, 0) and the coordinates of the Ferris wheel are (95, 156), we use
d" = √[(x₂ - x₁)² + (y₂ - y₁)²]
Now (x₁, y₁) = (0, 0) and (x₂, y₂) = (95, 156)
So, d" = √[(x₂ - x₁)² + (y₂ - y₁)²]
d" = √[(95 - 0)² + (156 - 0)²]
d" = √[95² + 156²]
d" = √[9,025 + 24,336]
d" = √33,361
d" = 182.65 feet
Now the direct distance, D between Jalen and the entrance is thus distance from Ferris wheel to entrance minus distance from Jalen to Ferris wheel = d" - d'
= 182.65 feet - 51.07 feet
= 131.58 feet
Elena went to a store where you can scoop your own popcorn and buy as much as you want. She bought 10 ounces of spicy popcorn for $2.50. How much popcorn can you buy per dollar? Do not include units (oz) in your answer.
Answer:
4
Step-by-step explanation:
$2.50 → 10 ounces
$1.00 → (10/2.50 x 1.00) ounces = 4 ounces
I WILL MARK YOU BRAINLIEST PLEASE HELP. It needs to be correct
Answer:
a) Center of dilation (0,0)
b) Scale factor = 2
Step-by-step explanation:
Dilation of Polygons
The triangle ABC has its vertices at A(-2,2), B(4,2), and C(-2,-2).
The triangle A'B'C' has its vertices at A'(-4,4), B'(8,4), and C'(-4,-4).
Since A'B'C' is a dilation of ABC, we check if all its vertices are proportional with the same scaling factor.
Both vertices of A' are twice the vertices of A: (-4,4)=2*(-2,2)
Both vertices of B' are twice the vertices of B: (8,4)=2*(4,2)
Both vertices of C' are twice the vertices of C: (-4,.4)=2*(-2,-2)
a)
The proportionality of the coordinates of the vertices tells us the center of dilation must be the origin of coordinates (0,0).
b)
The scale factor is the constant number all the vertices are multiplied by, that is, scale factor = 2
[BRAINLIEST] To manufacture an automobile requires painting, drying, and polishing. Epsilon Motor Company produces three types of cars, the Delta, the Beta, and the Sigma. Each Delta requires hours for painting, hours for drying, and hours for polishing. A Beta requires hours for painting, hours for drying, and hours for polishing, and a Sigma requires hours for painting, for drying, and for polishing. If the company has hours for painting, hours for drying, and hours for polishing per month, how many of each type of car are produced?
Answer:
The company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.
Step-by-step explanation:
let in the motor company x number of delta cars, y number of beta cars and z number of sigma cars are manufactured.
from the condition given in the question we can write
9x + 13y + 9z = 257 ........ (1)
4x + 6y + 4z = 116 ........... (2) and
3x + 4y + z = 59 ......... (3)
From equation (2) we get
9x + 13.5y + 9z = 261 ....... (4) {Multiplying with both sides}
solving equations (1) and (4) we get
0.5y = 4
and ⇒ y = 8.
from equation (2) putting the value of y we get,
4x + 4z = 116 - 48 = 68
⇒x + z = 17 .....(5)
Now, from equation (3) putting y = 8 we get,
3x + z = 59 - 32 = 27 ....... (6)
hence, solving equations (5) and (6) we get, 17 - x = 27 - 3x
⇒ 2x = 10
⇒ x = 5
So, z = 17 - x = 12
therefore, the company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.
you have 50$ and want to buy some shoes that cost $45. the tax rate for the shoes is 7%. do you have enough money to buy the shoes?
Please answer questions answer don't write a random word I will report and get banned from the site
Answer:
Yes, you have enought money
Step-by-step explanation:
45 times 107% (100 for the total cost and and 7 for the tax) is equal to 48.15. You have 50 dollars, therefore you can buy your shoes.
There are 5 less oranges on the tree today than there was yesterday
Plz help
The no. of apples on the tree today
= The no. of apples on the tree yesterday - 5
Let us take 'the no. of apples on the tree today' as 'x'
and 'the no. of apples on the tree today' as 'y'
Therefore, x = y - 5
Hope this is the thing u are looking for
Melanie rides her bike. The circumference of her bike tire is 2.8 m, and the tire revolves 1.5 times per second. What is the distance Melanie rides in 100 seconds?
Answer:
420 m
Step-by-step explanation:
The distance travelled in 1 second:
2.8 m * 1.5 revolves
= 2.8 * 1.5
= 4.2 m
Distance travelled in 100 seconds:
4.2 m * 100
= 420 m
Hope this helped!
Which is better, Radiologist technologist or Financial manager? I can't decide ah!
Answer:
technologist
Step-by-step explanation:
technologist is best
Answer:
Financial managers are typically more open and charismatic individuals, which can lead a team and make correct decisions. If your leadership and decisive skills are good, great! Financial manager is better for you.
Meanwhile, radiologist technologist (or just radiologists) are doctors who oversee x-ray operations, MRIs or PET scans. They are typically very specialized into this kind of field. If you're more into this kind of job, then go for it!
Step-by-step explanation:
Thanks, and please give Brainliest!
Pleaseeee help ill make u brain list
Answer:
a and c
Step-by-step explanation:
Find the total surface area of the following
cone. Leave your answer in terms of m.
12 cm
5 cm
Hint: Surface Area of a Cone = url + B
Where l = slant height, and B = area of the base
S.A. = [? ]n cm?
Answer:
[tex]S.A.=90\pi~cm^2[/tex]
Step-by-step explanation:
Surface Area of a Cone
Given a cone of base area B and slant height L, the surface area can be calculated with the formula:
[tex]S.A.=\pi rL +B[/tex]
The cone presented in the image has a circular base of radius r=5 cm, thus its base area is:
[tex]B=\pi r^2[/tex]
[tex]B=\pi 5^2[/tex]
[tex]B=25\pi~cm^2[/tex]
The slant height can be calculated as the hypotenuse of a right triangle with legs 5 cm and 12 cm by using Pythatgora's Theorem:
[tex]L^2=5^2+12^2[/tex]
[tex]L^2=25+144=169[/tex]
Taking square roots
[tex]L = \sqrt{169}[/tex]
L = 13 cm
The surface area is:
[tex]S.A.=\pi (5~cm)*13~cm +25\pi~cm^2[/tex]
Operating:
[tex]S.A.=65\pi~cm^2 +25\pi~cm^2[/tex]
[tex]\mathbf{S.A.=90\pi~cm^2}[/tex]
Answer:
90
Step-by-step explanation:
PLEASE PLEASE HELP.
Answer:
120 square feet
Step-by-step explanation:
they are similar so they are in a ratio 20/10=2 so smaller triangle is twice the larger one 6×2=12ft
area of triangle =1/2×base×height
=1/2×20×12
=120 square feet
Brainlyest
write an expression for each of these expressions
A.divide 37 by a
B.subtract b from 55
C.add 18 to c
D.multiply 49 by d
E.divide e by 62
How do I solve this equation and check the solutions?
[tex]x = - 10 \\ [/tex]
[tex]x = 2[/tex]
Step-by-step explanation:
[tex] \sqrt{20 - 8x} = \times [/tex]
[tex]20 - 8x = {x}^{2} [/tex]
[tex] {x}^{2} + 8x - 20 = 0[/tex]
[tex]x = - 10[/tex]
[tex]x = 2[/tex]
can someone help me ASAP please
Answer:
46 degrees
Step-by-step explanation:
Answer:
[tex]x = 46[/tex]
Step-by-step explanation:
First I identified that 2 of side lengths are the same, being 5. Then 88° is inbetween them, so I now know that both missing angles will be equal. This works with all triangles, if 2 sides equal the same then 2 angles will be equal.
So now we know a triangles angles always add up to be 180, so now we just subtract and divide.
[tex]180 - 88 = 92[/tex]
So now we know the sum of both missing angles so we can just divide the value in half because both angles are the same.
[tex]92 \div 2 = 46[/tex]
Now we know x=46°
Show work thanks please help me
Answer:
∠ JKL = 32°
Step-by-step explanation:
Since KN bisects ∠ LKM , then
∠ LKN = ∠ NKM = 35°
Thus
∠ JKL = ∠ JKM - ∠ LKN - ∠ NKM
= 102° - 35° - 35°
= 102° - 70°
= 32°
Express the following ratios in simplest form: 20:40
Answer:
1:2
Step-by-step explanation:
By dividing both sides by 20 you will get 1:2 which is the same thing as 20:40 if you multiply 1:2 on both sides by 20
Answer:
1 : 2
Step-by-step explanation:
20 : 40
20/10 : 4/10
2 : 4
2/2 : 4/2
1 : 2
Solve for x and y by elimination 3x+y=-1
Answer:
we need 2 equations to solve by elimination
Answer:
Step-by-step explanation:
for x
3x + y = -1
subtract 3x from both sides
y = -3x - 1
answer
for y
3x + y = -1
subtract y on from both sides
3x = -y -1
divide by 3
x = -1/2y - 1/3
answer
SOmeone SMART HELP ME OMG
Answer:
x = 7, arc DE = 198°
Step-by-step explanation:
Inscribed angles from the same arc are congruent.
∠ DCE and ∠ DWE are inscribed angles from the same arc DE , thus
12x + 15 = 3x + 78 ( subtract 3x from both sides )
9x + 15 = 78 ( subtract 15 from both sides )
9x = 63 ( divide both sides by 9 )
x = 7
Thus
∠ DCE = 12x + 15 = 12(7) + 15 = 84 + 15 = 99°
The inscribed angle DCE is half the measure of its intercepted arc, thus
arc DE = 2 × 99° = 198°
evaluate the expression 8/d + 3 when d=4
Answer: 5,
Step-by-step explanation: I got it right, and I hope this helps you! ✨
Answer:
the evaluation of the equation is 5
Step-by-step explanation:
To add fractions, find the LCD and then combine.
What is the slope of the line through (-1, 4) and (1,-2)?
Answer:
-3
Step-by-step explanation:
The rise is 6 and the run is 2
(Riddle #1 ) BRAINLIEST! I hope you are all having a wonderful day and Happy Thanksgiving (if you celebrate thanksgiving)! I will be asking some riddles, if your answer if correct I will mark your answer as brainsliest :D Please don't Google or search up any of the riddles, I want everyone to have a fair chance to win the brainliest, thank you.
Riddle #1
What will happen if an unstopable force meets an immovable object?
Answer:
The "paradox" is flawed because if there exists an unstoppable force, it follows logically that there cannot be any such thing as an immovable object and vice versa.
Step-by-step explanation:
:>
Answer:
nothing happens
Step-by-step explanation:
probably incorrect :0
Solve the simultaneous equations
x + 6y = 20
x + 3y = 14
x =
Y=
Answer:
x = 8, y = 2
Step-by-step explanation:
Multiply the second equation by -2:
x + 6y = 20
-2x - 6y = -28
Add the equations and simplify:
-x = -8
x = 8
Plug x = 8 back into the first equation and solve for y:
8 + 6y = 20
6y = 12
y = 2
Answer:
x=8
Y=2
or
(x,y)=(8,2)
Step-by-step explanation:
x+6y=20
x+3y=14
solve the equation for x
x+6y=20
x=14-3y
substitute the given value of x into the equation
x+6y=20
14-3y+6y=20
14+3y=20
3y=20-14
3y=6
3y/3=6/3
y=2.
substitute the given value of y into the equation
x=14-3y
x=14-3×2
x=14-6
x=8.
the possible solution of the system is the ordered pair (x,y)
(x,y)=(8,2)
or
x=8
Y=2
Proof:
Check if the given ordered pair is the solution of the system of equations
8+6×2=20
8+3×2=14
simply the equalities
20=20
14=14
since all of the equalities are true, the ordered pair is the solution of the system
(x,y)=(8,2)
Unit rate $80 For 16 tickets?
Answer: each ticket cost 5 dollar
Step-by-step explanation: if you do 80 divide 16 you will get 5. So if you did 5x16 you would get 80.
What is the percent change from 9,000 to 900?
Answer:
-90%
Step-by-step explanation:
Change/ original x 100
9000-900= 8100
8100/9000= 0.9
0.9 x 100 = 90
pls answer seriouslyyy thank u
Answer:
See Explanation
Step-by-step explanation:
3.
XY is tangent at P and CP is radius
[tex] \therefore CP\perp XP\\(\because tangent\: is \: perpendicular \: to\: radius) \\\\
\therefore m\angle CPX = 90\degree \\[/tex]
4.
Radius of the circle = diameter /2 = 13/2 = 6.5.cm
5.
For BD to be be tangent to the circle with center C, BD should make right angle with radius CB.
[tex] AD^2 [/tex] should be equal to the sum of the squares BD and AB.
Let us work it out:
[tex] AD^2 = 7^2 = 49....(1)\\
AB^2 + BD^2 = 5^2 +5^2 \\
AB^2 + BD^2 = 25 + 25 \\
AB^2 + BD^2 = 50....(2) \\[/tex]
From equations (1) & (2), it is obvious that:
[tex] AD^2 \neq AB^2 + BD^2[/tex]
So, BD is not tangent to the[tex] \odot\: C. [/tex]
6.
Tangents drawn from an external point to a circle are congruent.
In circle with center C, BA and BD are tangents drawn from external point B.
Therefore,
BA = BD
x = 4
7.
In circle with center C, BA and BD are tangents drawn from external point B.
Therefore,
BD = BA (tangents drawn from external point to a circle)
x = 2
8.
In circle with center C, BA and BD are tangents drawn from external point B.
Therefore,
BA = BD (tangents drawn from external point to a circle)
2x = 10
x = 10/2
x = 5
Item 12 You need to read 20 poems in 5 days for an English project. Each poem is 2 pages long. Evaluate the expression 20×2÷5 to find how many pages you need to read each day.
Answer:
8 pages
Step-by-step explanation:
It is given that,
You need to read 20 poems in 5 days for an English project. Each poem is 2 pages long.
We need to find no of pages you need to read each day. Let the no of pages are x. It can be calculated as follow :
[tex]x=20\times 2/5\\\\=20\times \dfrac{2}{5}\\\\=4\times 2\\\\=8[/tex]
Hence, there are 8 pages you need to read each day.
Which of the following is equivalent to 1/8?
A.
1 to 8
B.
2 to 8
C.
8 to 1
Anyone willing to help? Surprise included
Answer:
An arithmetic sequence has a constant difference between each term.
For example: 2,4,6,8,10,12,…
We can see clearly that all the terms differ by +2.
We call this the common difference, d.
A geometric sequence has a constant ratio (multiplier) between each term.
An example is: 2,4,8,16,32,…
So to find the next term in the sequence we would multiply the previous term by 2.
This is called the common ratio, r.
These sequences are closely related as they both have the same first term, but I hope you can see how different they become if they have a common difference or a common ratio.
We can create a decreasing arithmetic sequence by choosing a negative common difference.
Similarly, a decreasing geometric sequence would have a common ratio of less than 1.
Step-by-step explanation:
please help i’m so close to being done :(
Answer:39 i dont im 12 ps out
Step-by-step explanation:
Please help with this, all I need is for this paper to be done and then I’ll have a good grade in algebra
Answer:
use desmos.
Step-by-step explanation:
demos. All you have to do is out the equation into Desmos and it will graph it for you. You can look and learn.
4x+5y=9
4x−2y=2
x= y=
Answer:
For example, the solution to the equations 2x + 3y = 15 and x - y = -10 is x = -3 ... Equation 2: 4x + 2y = 20
Answer:
x=0, y=0 this is so easy