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
Plz help me with this question
10 points
9514 1404 393
Answer:
The sequence 18
Step-by-step explanation:
After Nolan brings down a zero, the dividend Nolan will be 20, the same one he started with. So, he will get the same result he has gotten so far: the first quotient digit is 1 and the second quotient digit is 8, resulting in a new dividend of 20 (after the 0 is brought down).
The digits 18 will repeat until Nolan gets tired.
A bird travels 200 meters in 50 seconds. What is its average speed?
Answer:
4 meters per second
Step-by-step explanation:
200 ÷ 50 = 4
Answer:
i have this question on my test so this is a life saver
Step-by-step explanation:
thanks
6.
The candle factory makes 225 candles per day. The candles are
sold in boxes of 5. How many boxes of candles does the
factory make each day? ** YOU MUST SHOW WORK EVEN ON
MULTIPLE CHOICE!!
A 45
B. 220
C. 450
D. 1125
A
B
D
First, you have to divide the candles by 5.
225/5 = 45
That's it, so you get your answer 45!!!!
worth a brainliest I need help on a and b!! I won't be accepting any ridiculous answers and if you do answer something stupid like "I can't read it. Sorry. Too small." Or "idk haha" I won't hesitate to spam all of your answers with the same response you gave me, taking your points...
Answer:
For answer a,
the equation is -1 - 5
this equals -6
From -1 to -6 is 5
A.) The difference is 5
For answer b,
the equation is -7 - (-3)
There are two minus signs by the -3 so that means to turn those two signs into a plus sign
- 7 + 3
Start at -7 and move to the right 3
You will end up at -4
B.) The difference is 3
2/3x − 1/5x = x −1 equals what? I'm confused on this
Answer:
x=15/8
Step-by-step explanation:
1, 2, 3, or 4?
i need this ASAP!!
will give brainliest and a thanks to fast answers
Answer:
Step-by-step explanation:
-10 since +5-15 =-10 so 2
Answer the question please:
The correct answer will be marked as brainliest =)
thanks xoxo
Answer:
Step-by-step explanation:
(3^2)^2*(10^3)^2= 8.1*10^7
Broken down to
81*1000000= 81,000,000
Answer:
Step-by-step explanation:
(3²)² is 9², and (10³)² is 1000² so its 9² x 1000² or 9000² or 81 million, 81000000.
Hope this helps ;D
Write an equation, then determine the number described in the following statement: Eight less than 3 times a number is twice the sum of x and 4.
what is always true about a line that Slants downward from left to right select all that apply help plz
Answer:
A line that slants down from left to right has a negative slope. Horizontal and vertical lines also have a slope.
Step-by-step explanation:
Of the 1,740 students surveyed, 2 out of every 3 students said they prefer basketball to soccer. How many students prefer basketball?
Answer:
x=1160 HAVE A GREAT DAY!!! :D
Step-by-step explanation:
Okay! So, first you would set up a proportion
x/1740=2/3
Then you cross multiply
3x=3480
After that, you divide both sides of the equation by 3
x=1160
Write an equation for the line parallel to the given line that contains C.
y =
Answer:
y=3/7x+46/7
Step-by-step explanation:
Parallel lines have the same slope. This means in the equation y=mx+b, m=3/7 for sure. Then, it gives us the point (1,7). The line has to go through this point so we plug it in: 7=3/7(1)+C. Then, we solve for C using algebra.
7-3/7=C
C=46/7
The two triangles below are similar. What value of Q and B would make this true
Answer:
∠B = ∠Q = 26°Step-by-step explanation:
The angles B and Q should be same, therefore:
Q = 4x + 2 and B = 15x - 64The equation below as per above, solving for x:
4x + 2 = 15x - 6415x - 4x = 64 +211x = 66x = 6Then the angle measures:
4*6 + 2 = 26°Multiply −47(−35)(−73). Simplify your answer.
Answer: -120085
Step-by-step explanation:
i’ll mark brainliest
Answer:
A
Step-by-step explanation:
ok so pretend the 2.00 was just 2 so whats 8 divided by 2? 4 right so if we test that witht he other problems its the same so its A
Hope this helps!!!! :D
A rock is thrown from a cliff into a ravine. The function ℎ() = −16^2 + 19 + 2560 describes the height, in feet, of the rock from the ground seconds after it is thrown. What is the height of the rock, in feet, 2 seconds after it is thrown?
Answer:
d
Step-by-step explanation:
. Divide the circumference by the ant length in meters. About how many ants would make a trail around the Earth? Write the standard form, and scientific notation.
The perimeter of a triangle is 43 inches. The second side is 4 times as long as the first side. The third side is 1 inch longer than the first side. What is the length of each side
Answer:
First side=7
Second side =28
Third side =8
explanation:
Perimeter of a triangle is the sum of the length of the sides of the triangle. Given that the perimeter of the triangle = 43 inches
Second side is 4 times the first side
Third side is 1 inch longer the first
Let's call the first side x
Then equation for the perimeter of the triangle is given by
x+4x+x+1=43
We solve for x
6x+1=43
6x=43-1
6x=42
x=42/6
x=7
Therefore the first side x=7, the second side is 4x= 4*7=28, third side= 1+x= 1+7=8
please help me this question
Answer:
(b) or (d)
Step-by-step explanation:
stidents who play basketball = 4y^2 + y - 8 - (2y + 16) = 4y^2 - y - 24
This is a question on forming and solving equations and expressions. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Answer: Choice (b) 4y^2 - y - 24; top right corner
===========================================================
Work Shown:
T = total number of students in the class
T = 4y^2 + y - 8
F = number of students who play football
F = 2y+16
B = number of students who play basketball
B = unknown for now
Since a student either plays football or basketball, but not both, this means
T = F+B
which rearranges to
B = T-F
Plug in the given expressions and simplify
B = T-F
B = (4y^2+y-8) - (2y+16)
B = 4y^2+y-8 - 2y - 16
B = 4y^2 + (y-2y) + (-8-16)
B = 4y^2 - y - 24
)If 1 gallon is equal to 4 quarts, then 6 gallons would equal ___ quarts.
Answer:
24
Step-by-step explanation:4x6
Answer:
24
Step-by-step explanation:
someone please help
i will give brainliest
Answer:
its -18 going to the right closed circle
Step-by-step explanation:
Answer: r >_ (greater than or equal to) -18
Step-by-step explanation:
You would place it on -18 :)
You’re welcome :)
Please help me....Could you answer these 2 questions correctly?
Answer:
A
Step-by-step explanation:
for the two of them, the first answer is the answer
Answer:
#1 - First option: y + 7 = [tex]\frac{-1}{4}[/tex](x -4)
#2 - First option: y = 2x - 5
Step-by-step explanation:
#1
Given: (x1,y1) = (4,-7) and m = [tex]\frac{-1}{4}[/tex];
To find the point slope form which is
y - y1 = m(x - x1); substitute (x1,y1) and m
y - (-7) = [tex]\frac{-1}{4}[/tex](x -4)
y + 7 = [tex]\frac{-1}{4}[/tex](x -4)
#2
Given: points (x1,y1) = (0, -5) and (x2,y2)=(4,3)
To find the slope we use
m = [tex]\frac{(y2-y1)}{(x2-x1)}[/tex] = [tex]\frac{(3-(-5))}{(4-0)}[/tex] = [tex]\frac{8}{4}[/tex] = 2
Now pick a number to find b
y = mx + b
y1 = mx1 + b
-5 = 2(0) + b
b = -5
now plug into y = mx + b; which is
y = 2x - 5
Solve the equation for y. 2x−14y=1
Answer:
y = 1/7x + -1/14
Step-by-step explanation:
2x−14y+−2x=1+−2x
−14y=−2x+1
−14y /−14 = −2x+1 /−14
What additional information is needed to show that ABC 2 ADEF by ASA?
A.AB≈DE
В.BC≈EF
с.AB ≈AC
D.AC≈DF
Answer:
AB≈DE
then, in triangle ABC&in triangle DEF
angle CAB =angle FDE
side AB= side DE
angle ABC= angle FED
So, triangle ATC≈ triangle DEF (A.S.A)
On weekdays it costs £6.50 per hour to hire a tennis court at Meadway
Tennis Club. On Saturdays the cost is 30% more. How much does it cost to
hire a court for 2 hours on a Saturday?
Answer: £16.90
Step-by-step explanation:
From the question, we are informed that it costs £6.50 per hour to hire a tennis court at Meadway Tennis Club but that on Saturdays the cost is 30% more. The cost in Saturdays per hour will then be:
= £6.50 + (30% × £6.50)
= £6.50 + ( 0.3 × £6.50)
= £6.50 + £1.95
= £8.45
The cost to hire a court for 2 hours on a Saturday will then be:
= £8.45 × 2
= £16.90
Which fractions are equivalent to -0.3? Select ALL that apply.
Answer:[tex]-\frac{3}{10}[/tex]
Step-by-step explanation:
.
Solve the system of equations 3x + 2y = 22 and x - 2y = -6.
solve system of equations
Answer:
x=4
y=5
Step-by-step explanation:
inform me if u cant open the image
Answer:
(4,5)
Step-by-step explanation:
I solved through substitution
3x+2y=22
x-2y=-6 ----> -2y=-6-x ----> -2y=-x-6 -----> y=1/2x+3
Solving for x:
3x+2y=22
3x+2(1/2x+3)=22
3x+x+6=22
4x+6=22
4x=16
x=4
Solving for y:
x-2y=-6
4-2y=-6
-2y=-10
y=5
(4,5)
HELP WILL GIVE BRAINIEST AND 60 POINTS AND 5 STARS!!!! ITS DUE IN 10-15 MINUTES I NeeD the answer to this and explain why you got ur answer using math terminology or math logic
Answer:
I'm going to say the square roo of 36
Step-by-step explanation:
If you think about it the square root of 36 is 6
the square root of 21 is 4.582
1/5 is 0.2
and 2/3 is 0.66
so with that information you can conclude that the square root of 36 has a higher value than the other numbers
4. Mariana receives a $20 gift card for
downloading music and wants to
determine how many songs she can
purchase. Each downloaded song costs
$1.29
a.
Let m represents the number of songs
downloaded. Write an inequality that
represents this given situation?
b. What is the maximum number of songs
Mariana can download?
Answer:
inequality- 1.29m <20
maximum number of songs- 15 songs
Step-by-step explanation:
For the inequality, you see that she only has $20 so whatever she buys has to be below that so use the less than sign. You also see that each song is worth $1.29 so 1.29m. For the maximum number of songs, you divide 20 by 1.29 and just ignore the remainder.
Answer:
c
Step-by-step explanation:
The length of a rectangle is 10 more than 10 twice the width , if the perimeter is 80inches find the length the width
Answer:
The width is 10 inches
The length is 30 inches
Step-by-step explanation:
Perimeter of a Rectangle
The perimeter of a rectangle of length L and width W is calculated as follows:
P = 2L + 2W
It's given the length of a rectangle is 10 more than twice the width:
L = 2W + 10
Substituting into the formula of the perimeter:
P = 2(2W + 10) + 2W
Operating:
P = 4W + 20 + 2W
P = 6W + 20
It's given this perimeter is 80 inches, thus
6W + 20 = 80
Subtracting 20:
6W = 80 - 20 = 60
Dividing by 6:
W = 60 /6 = 10
Since :
L = 2W + 10
L = 2*10 + 10
L = 30
The width is 10 inches
The length is 30 inches
What is the probability, P, of an event that is certain to occur?
P=
Answer:
1
Step-by-step explanation: