Answer:
Step-by-step explanation:
I discounted the 2-m ramp. If we are supposed to be looking for the length of time the ride is above 38 m from the ground, that translates to 36 m from the very bottom of the circle that is the Ferris wheel (where the wheel would meet the "ground"). I first found the circumference of the circle:
C = 48(3.1415) so
C = 150.792 m
I enclosed this circle (the Ferris wheel is a circle) in a square and then split the square in 4 parts. Each square has a quarter of the circle in it. If you divide the circumference by 4, that means that the arc length of each quarter circle is a length of 37.698 m. But that doesn't put us 36 m above the ground, that only puts us 24 m above the ground (remember the diameter of the circle is 48, so half of that is 24, the side length of each of the 4 squares). What that means to us (so far, and we are not at the answer yet) is that when the height off the ground is 24 m, a car that starts at the bottom of the ride has traveled 37.698 m around the circle. Traveling in an arc around the outside of the circle is NOT the same thing as a height off the ground. Going around a circle takes longer because of the curve. In other words, if the car has traveled 37.698 m around the outside of the circle, it is NOT 37.698 m above the ground...it's only 24 m above the ground. Hence, the reason I enclosed the circle in a square so we have both the circle's curve {arc length} and height above the ground {side of the square}). As the car travels farther along the outside of the circle it gets higher off the ground. If one quarter of the circle is 24 m above the ground, we need to figure out how much farther around the circle we need to go so we are 36 m above the ground. The height difference is 36 - 24 = 12m. we need now to find how long the arc length of the circle is that translates to another 12 m (the difference between the 24 we found and the 36 total). Using right triangle trig I found that arc length to be 12.566. The total arc length on the circle that translates to 36 m above the ground is 50.26437 m.
Going back to the beginning of the problem, the circumference of the circle is 150.792, and it makes one complete revolution in 5 minutes. That means that a car will travel 30.1584 m in 1 minute. Since this is the case, we can use proportions to solve for how long it takes to get 36 m above the ground:
[tex]\frac{m}{min}:\frac{30.1584m}{1min}=\frac{50.26437m}{xmin}[/tex] and cross multiply:
30.1584x = 50.26437 so
x = 1.6667 minutes, the time it takes to reach a height of 36 m. BUT this is not what the question is asking. The question is asking how long it's HIGHER than that 36 m. Let's think.
The car starts at the bottom of the ride, gets to a height of 36 m, keeps going around the circle to its max height of 48 m, then eventually comes back down and keeps going til it's back on the ground. That means that there is a portion at the top of the wheel that is above 36 m. If it goes 50.2647 m around the circle til it's at 36 m, then when it passes the max height and drops back to 36 m, it's 50.2647 m around the other side of the circle. We just found that to travel that 50.2647 m, it took the car 1.6667 minutes. We travel this distance twice (once meeting the height going up and then again coming down) so that takes up 3.3334 minutes.
5 minutes - 3.3334 minutes leaves us off 36 m above the ground for 1.6664213 minutes.
Question 15 of 41
What is the ratio for the volumes of two similar spheres, given that the ratio of their radii is 3:5?
A. 9:25
B. 27:125
C. 125:27
D. 25:9
SUBMIT
Answer:
B
Step-by-step explanation:
the radii have to be cubed cause a volume is cubed
3^3:5^3
27:125
I hope this helps and sorry if it's wrong
The speed (S) an object falls varies directly with time. If the speed is 49.0 m/s after 5 seconds, then what is the speed after 3 seconds?
S= 16.3 m/s
S=29.4 m/s
S= 3.3 m/s
S= 81.6 m/s
Answer:
29.4 m/s
Step-by-step explanation:
which is the total length of both sides of the roof 4x
Answer:
b. 40m
Step-by-step explanation:
[tex]length \: of \: x \\ {x}^{2} = {8}^{2} + {6}^{2} \\ {x}^{2} = 64 + 36 \\ {x}^{2} = 100 \\ \sqrt{ {x}^{2} } = \sqrt{100} \\ x = 10m[/tex]
[tex]x = 10m \\ 4x = 4 \times 10 \\ 4x = 40m[/tex]
What is the translation from the preimage to the image in the graph?
Answer:
(x, y ) → (x + 7, y + 5 )
Step-by-step explanation:
Consider the coordinates of R and R'
R (- 5, 0 ) and R' (2, 5 )
x- direction : - 5 → 2 is + 7 units
y- direction : 0 → 5 is + 5 units
Translation rule is (x, y ) → (x + 7, y + 5 )
A line passes through the point (8,9) and has a slope of 3/4
What is the equation in slope intercept form for this line
Answer: [tex]y=\frac{3}{4}x+3[/tex]
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. Since we are given slope, we can plug that into m, and use the given point to find the y-intercept.
[tex]y=\frac{3}{4}x+b[/tex] [plug in (8,9)]
[tex]9=\frac{3}{4}(8)+b[/tex] [multiply]
[tex]9=6+b[/tex] [subtract both sides by 6]
[tex]b=3[/tex]
Now that we have b, we can complete the equation to [tex]y=\frac{3}{4}x+3[/tex].
Find the measure of side C and round to the nearest whole number. Pls help ASAP
Answer:
Step-by-step explanation:
Side a is across from angle A, and side c is the hypotenuse. The trig ratio that utilizes the side opposite and the hypotenuse is the sin of an angle, namely:
[tex]sin(30)=\frac{28}{c}[/tex] and solving that for c:
[tex]c=\frac{28}{sin(30)}[/tex] so
c = 56
Find the value of each measure.
Answer:
39
Step-by-step explanation:
4x+7=9x-33
4x-9x=-33-7
-5x=-40
x=8
4×8+7=39
Please help explanation if possible
Answer:
y=-3x+5
Step-by-step explanation:
concepts: y=mx+b is slope intercept equation formula
m=slope
b= y intercept
Therefore we need to find the slope and y intercept
first find slope
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
let y2 be 2
let y1 be -4
let x2 be 1
let x1 be 3
[tex]\frac{2-(--4)}{1-3}[/tex]
6/-2 = -3
m=-3
slope is -3
y= -3x+ b
we need find y intercept now
just plug in (1,2) into that equation
2=-3(1)+b
b=5
y=-3x+5
What is the y-intercept of the line whose equation is y=−3x ?
Answer:
y=mx+b
b is the y intercept
b=0, so 0 is the y intercept
Step-by-step explanation:
A physical therapist has 2400 minutes available for patients next week,
Patients have already made appointments for 1490 minutes. If the variable p
stands for the time the physical therapist has left, which units could apply to
that variable?
Answer: 910 minutes
Step-by-step explanation:
Since the physical therapist has 2400 minutes available for patients next week, and the patients have already made appointments for 1490 minutes, then the time that the physical therapist has left will be:
p + 1490 = 2400
p = 2400 - 1490
p = 910
Therefore, the physical therapist will have 910 minutes left
What is the monetary amount of 31 quarters, 13 dimes, 5 nickels and 3 pennies?
Answer:
$9.33
Step-by-step explanation:
quarter = 25 cents
dime = 10 cents
nickel = 5 cents
penny = 1 cent
31 (0.25) = 7.75
13 (0.10) = `1.30
5 (0.05) = 0.25
3(0.01) = 0.03
7.75 + 1.30 + 0.25 + 0.03 = 9.33
Answer:
$9.33 or 933 cents
Step-by-step explanation:
Concepts:
Coins are a form of currency. They're tiny, flat, and made of metal. There are various types of coins worldwide, but the main ones in the USA are quarters, dimes, nickels, and pennies. To write the value of a coin, you can use the format $0.00 or use cents/¢ at the end of it. One quarter is worth 25 cents, one dime is worth 10 cents, one nickel is worth 5 cents, and one penny is worth one cent.Expressions are mathematical sentences that have at least two terms with numbers/variables and at least one operationSolving:
Since we know the value of each coin, let's set up an expression:
q = 25, d = 10, n = 5, p = 1
(31 · q) + (13 · d) + (5 · n) + (3 · p)
Now, let's solve our expression!
1. Plug in the values of q, d, n, and p
(31 · 25) + (13 · 10) + (5 · 5) + (3 · 1)2. Simplify the terms in the parentheses
(31 · 25) + (13 · 10) + (5 · 5) + (3 · 1)(775) + (130) + (25) + (3)775 + 130 + 25 + 33. Add all the terms together
775 + 130 + 25 + 3905 + 25 + 3930 + 3933Now, we know the the monetary amount of 31 quarters, 13 dimes, 5 nickels and 3 pennies is 933 cents. However, we can also write it in decimal form by moving the decimal point to the left 2 times from the last digit of 933, 3: 933.0 -> 93.30 -> 9.330, and 9.330 = 9.33. Therefore, the answer is 933 cents or $9.33.
what is the circumference of a circle with a diameter of 2 feet? use 3.14 for pie
A. 6.28ft
B. 12.56ft
C. 5.14ft
D.3.14ft
Answer:
C = 6.28 ft
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d where d is the diameter
C = 3.14(2)
C = 6.28 ft
what is the circumference of a circle with a diameter of 2 feet? use 3.14 for pie
A. 6.28ft
B. 12.56ft
C. 5.14ft
D.3.14ft
To Find :The circumference of the circle Solution :Formula for getting the circumference
[tex] \: \: \: \: \: \: \: \: \: \star \: \orange{\underline{ \purple{ \boxed{ \red{\sf Circumference \: of \: the \: circle = 2πr}}}}}[/tex]
Given data :
Diameter = 2 ft
π = 3.14
Radius = diameter/2 = 2 ft/2 = 1 ft
So the circumference is
Circumference = 2πrCircumference = 2 × 3.14 × 1 Circumference = 6.28 ftTherefore, the perimeter is 6.28 ft
Which of these triangle pairs can be mapped to each other using a single translation?
What’s the coordinates for Y-3>2x+2 on a graph?
A table is made using the following two patterns.
Pattern 2: Starting number: 5, Rule: Multiply by 3
1
Pattern y: Starting number: 20, Rule: Multiply by
2
Complete the table for the given patterns.
C
y
5
20
Answer:
x y
5 20
15 10
45 5
Step-by-step explanation:
Pattern x:
Start with 5.
Multiply by 3: 5 * 3 = 15
Multiply by 3: 15 * 3 = 45
Pattern x:
Start with 20.
Multiply by 1/2: 20 * 1/2 = 10
Multiply by 1/2: 10 * 1/2 = 5
x y
5 20
15 10
45 5
The perimeter of a rectangle is given by the formula P=2w+2l,where w is the width and l is the length.Rearrange the formula for the length ( ).
Answer:
l = (p - 2w)/2
Step-by-step explanation:
A fencing company charges $22per foot to install a wood fence around a rectangular pool area that is 20 feet wide and 38 feet long? pls help me
Which of the lists of letters all have rotational symmetry?
1, (C, H, N, X)
2, (N, O, S, Z)
3, (H, J, N, S)
4, (F, H, X, Z)
(No explanation is needed but it would be helpful)
Answer:
The alphabets Z, H, S, N and O have rotational symmetry.
which of the following is equal to square root ^3 square root 2
Answer:
[tex]2^{\frac{1}{6} }[/tex]
Step-by-step explanation:
(2^1/3)^1/2 = 2^(1/3 x 1/2) =2^1/6
Tính giá trị của I = [tex]\lim_{x \to \infty}[/tex] ([tex]\frac{4^{n} - 5.3^{n} + 1}{2.4^{n} + 2}[/tex])
I assume you're supposed to find the limit as n approaches infinity, not x.
You have
[tex]\displaystyle \lim_{n\to\infty}\frac{4^n-5.3^n+1}{2.4^n+2} = \lim_{n\to\infty}\frac{\left(\dfrac4{5.3}\right)^n-\left(\dfrac{5.3}{5.3}\right)^n+\dfrac1{5.3^n}}{\left(\dfrac{2.4}{5.3}\right)^n+\dfrac2{5.3^n}} \\\\ = \lim_{n\to\infty}\frac{\left(\dfrac4{5.3}\right)^n-1+\dfrac1{5.3^n}}{\left(\dfrac{2.4}{5.3}\right)^n+\dfrac2{5.3^n}}[/tex]
For |x| < 1, we have lim |x|ⁿ = 0 as n goes to infinity. Then each exponential term converges to 0, which leaves us with -1/0. This means the limit is negative infinity.
On the other hand, perhaps you meant to write
[tex]\displaystyle \lim_{n\to\infty}\frac{4^n-5\times3^n+1}{2\times4^n+2}[/tex]
The same algebraic manipulation gives us
[tex]\displaystyle\lim_{n\to\infty}\frac{\left(\dfrac44\right)^n-5\left(\dfrac34\right)^n+\dfrac1{4^n}}{2\left(\dfrac44\right)^n+\dfrac2{4^n}} = \lim_{n\to\infty}\frac{1-5\left(\dfrac34\right)^n+\dfrac1{4^n}}{2+\dfrac2{4^n}}[/tex]
Again the exponential terms converge to 0, but this time we're left with the limit 1/2.
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match each set of vertices with the type of quadrilateral they form.
I'm sorry but there's not enough info
Step-by-step explanation:
Answer:
The triangle with vertices A (2 , 0) , B (3 , 2) , C (5 , 1) is isosceles right Δ
The triangle with vertices A (-3 , 1) , B (-3 , 4) , C (-1 , 1) is right Δ
The triangle with vertices A (-5 , 2) , B (-4 , 4) , C (-2 , 2) is acute scalene Δ
The triangle with vertices A (-4 , 2) , B (-2 , 4) , C (-1 , 4) is obtuse scalene Δ
In a survey of 850 students in a school, 90% reported having pets at home. If the margin of error is 3.4%, what is the interval that is likely to contain the exact percent of all people who have pets at home?
Between 3.4% and 90%
Between 90% and 93.4%
Between 86.6% and 90%
Between 86.6% and 93.4%
Answer:
Between 86.6% and 93.4%Step-by-step explanation:
To obtain the population proportion from the sample, we calculate the confidence interval ; Confidence interval = phat ± margin of error Phat = 90% ; margin of error = +3.4% 90% ± 3.4% (90 - 3.4)% ; (90 + 3.4)% 86.6% ; 93.4%identify the diameter and the circle shown
Answer:
Option D, HF is the answer........
Answer:
the answer is diameter AHI NEEEDDD HELPPP!!! someone please help me outttt
Answer:
45°
Step-by-step explanation:
Segments GJ and HK intersect at F.
That makes angles JFK and GFH vertical angles and congruent.
An arc has the same measure as its central angle.
m<GFH = 45°
m<JFK = m<GFH
m<JFK = 45°
1.__
2.__
3.__
4.__
5.__
6.__
Answer:
eegwhwiwveejekjeevwhejecs
[tex]4x+2=2(x+6)[/tex]
Solve for x.
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]4x + 2 = 2(x + 6)[/tex]
[tex]4x + 2 = (2 * x) + (2 * 6)[/tex]
[tex]4x + 2 = 2x + 12[/tex]
Step 2: Subtract 2 from both sides
[tex]4x + 2 - 2 = 2x + 12 - 2[/tex]
[tex]4x = 2x + 10[/tex]
Step 3: Subtract 2x from both sides
[tex]4x - 2x = 2x - 2x + 10[/tex]
[tex]2x = 10[/tex]
Step 4: Divide both sides by 2
[tex]2x / 2 = 10 / 2[/tex]
[tex]x = 5[/tex]
Answer: [tex]x = 5[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = 5[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\4x + 2 =2(x+6)\\------------\\\rightarrow 4x + 2 = 2x + 12\\\\\rightarrow4x - 2x +2 = 2x - 2x + 12\\\\\rightarrow 2x + 2 = 12\\\\\rightarrow2x + 2 - 2 = 12 - 2\\\\\rightarrow 2x = 10\\\\\rightarrow \frac{2x=10}{2}\\\\\rightarrow \boxed{x = 5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Help! Pls I’m struggling
Answer:
the x^2 column would have a "22" between the 4 & 5
Step-by-step explanation:
x x^2
0 0
1 1
2 4
3 9
4 16
5 25
6 36
Answer:
Step-by-step explanation:
√22
-number 22 is between what two perfect squares?
4² =16 < 22 < 5² =25
therefore the result is a number between 4 and 5
-you can use a calculator to check your answer √22 ≈4.7
the sum of two numbers is 10, the sum of their squares is 58 determine the two numbers
Answer:
7 and 3
Step-by-step explanation:
Using the given information, one can form an equation. Let the first number be (x) and the second (y). For two equations based on the given information.
"the sum of two numbers is 10"
x + y = 10
" the sum of their squares is 58 determine"
[tex]x^2+y^2=58[/tex]
Solve for the equation for (x), then substitute the expression for (x) into the second equation. Simplify and solve to find the value of (y), and backsolve for the value of (x).
x + y =10
x = 10 -y
Substitute into the other equation:
[tex]x^2+y^2=58[/tex]
[tex](10-y)^2+y^2=58[/tex]
Simplify, remember the pattern for opening a binomial squared:
[tex](a - b)^2=a^2-2ab+b^2[/tex]
Apply this pattern here to simplify,
[tex](10-y)^2+y^2=58[/tex]
[tex]100-20y+y^2+y^2=58[/tex]
Simplify further,
[tex]100-20y+y^2+y^2=58[/tex]
[tex]2y^2-20y+100=58[/tex]
Inverse operations,
[tex]2y^2-20y+100=58[/tex]
[tex]2y^2-20y+42=0[/tex]
Factor, take out a common factor that all of the terms have. Then rewrite the quadratic trinomial as the product of two linear binomials. Remember the general pattern for factoring, add the inverse of the factors of the constant term to the variable, the sum of these factors must equal the coefficient of the linear term of the quadratic trinomial.
[tex]2y^2-20y+42=0[/tex]
[tex]2(y^2-10y+21)=0[/tex]
[tex]2(y-7)(y-3)=0[/tex]
Now use the zero product property to solve, the zero product property states that any number times zero equals zero.
[tex]2(y-7)(y-3)=0[/tex]
[tex]y = 7, y = 3[/tex]
Since the sum of (7) and (3) is (10), one has found the values of (y), it can be either (7) or (3), it doesn't matter which equals which.
help please area geometry !!
Answer:
37.5 cm^2
Step-by-step explanation:
The area of a parallelogram is
A = bh where b is the base and h is the height
A = 7.5 * 5
A = 37.5 cm^2
Answer:
A = 37.5 cm²
Step-by-step explanation:
The area of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 7.5 and h = 5 , then
A = 7.5 × 5 = 37.5 cm²
not sure how to solve
