nick is stuck at the top of a ferris wheel. his mother is standing 38 feet from the base of the wheel watching him. if the angle of elevation from nick's mom to nick is 73 degrees, how far off the ground is nick?
A. 118.2 ft
B. 120.9 ft
C. 124.3 ft
D. 126.5 ft
E. 128.1 ft
Answers
make sure your calculator is in Degree mode.
Answer:
C. 124.3 ft
Step-by-step explanation:
Let h represent Nick's distance from ground.
We have been given that Nick is stuck at the top of a ferris wheel. his mother is standing 38 feet from the base of the wheel watching him. The angle of elevation from nick's mom to nick is 73 degrees.
Nick, his mother and angle of elevation forms a right triangle with respect to ground, where, h is opposite side and 38 feet is adjacent side.
[tex]\text{tan}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]
[tex]\text{tan}(73^{\circ})=\frac{h}{38}[/tex]
[tex]\text{tan}(73^{\circ})*38=\frac{h}{38}*38[/tex]
[tex]3.270852618484*38=h[/tex]
[tex]h=3.270852618484*38[/tex]
[tex]h=124.292399502392[/tex]
[tex]h\approx 124.3[/tex]
Therefore, Nick is 124.3 feet above the ground.
Related Questions
The width of a rectangular prism is w centimeters. the height is 2 centimeters less than the width. the length is 4 centimeters more than the width. of the volume of the prism is 8 times the measure of the length, find the dimensions of the prism
Answers
w^2 - 2w = 8
w^2 - 2w - 8 = 0
(w-4)(w+2) = 0
w = 4 Or w = -2
However w cannot be less than 0
So w must = 4
Width is 4, height is 2, length is 8
Total Volume =64 which is 8(8).
Which statement decribes the behavior of the function mc010-1.jpg? If you cannot see the Image the function is f(x)= 3x/4-x.
The graph approaches –3 as x approaches infinity.
The graph approaches 0 as x approaches infinity.
The graph approaches 3 as x approaches infinity.
The graph approaches 4 as x approaches infinity.
Answers
Answer: The graph approaches -3 as x approaches infinity will be the correct option which describes the behavior of the function.
Explanation:
Given Function: f(x)= [tex]\frac{3x}{4-x}[/tex]
Now, we divide numerator and denominator by x and we get,
⇒ [tex]f(x)= \frac{3}{4/x-1}[/tex]
If x approaches to infinity.
Therefore, [tex]\lim_{x\rightarrow \infty}f(x)[/tex]
then [tex] f(x)\rightarrow -3[/tex]
Thus, we can say f(x) approaches -3 as x approaches infinity
Answer:
-3
Step-by-step explanation:
The lower base of the frustum shown in the figure is a square 8 ft on each side. The upper base is a square 4 ft on each side. If the altitude is 6 ft, find the slant height. A. 6 ft B. 5.66 ft C. 6.32 ft D. 4 ft
Answers
the answer is the option C 6.32 ft
this answer is based on the fact that the inclined height should be greater than 6 and that is the only option available
The explicit rule for a sequence is given.
an=−2n+7
What is the recursive rule for the sequence?
a1=7; an=an−1+2
a1=5; an=an−1−2
a1=−2; an=an−1+7
a1=7; an=an−1−2
Answers
an = -2n +7
means that the value of a1 can be found from
a1 = -2*1 +7
a1 = 5
Only one of the choices matches this condition: the correct one.
The 2nd selection is appropriate.
_____
If you want to actually work the problem, you find a[1] as above. Then, consider
.. a[n+1] = -2*(n+1) +7
.. = (-2n +7) -2 . . . . . . note the stuff in parentheses matches the definition of a[n]
.. = a[n] -2
This is also true for the previous pair of terms:
.. a[n] = a[n -1] -2
So, now you have
.. a[1] = 5
.. a[n] = a[n-1] -2
which matches the second selection.
The recursive rule is: [tex]\(a_1 = 7\); \(a_n = a_{n-1} - 2\)[/tex]. The correct option is D.
Sure, here's the step-by-step solution:
1. Start with the explicit rule for the sequence: [tex]\(a_n = -2n + 7\)[/tex].
2. To find the recursive rule, we need to express [tex]\(a_n\)[/tex] in terms of [tex]\(a_{n-1}\)[/tex], the previous term in the sequence.
3. Replace [tex]\(n\)[/tex] in the explicit rule with [tex]\(n-1\)[/tex] to represent the previous term:
[tex]\[a_{n-1} = -2(n-1) + 7\][/tex]
[tex]\[a_{n-1} = -2n + 2 + 7\][/tex]
[tex]\[a_{n-1} = -2n + 9\][/tex]
4. Since [tex]\(a_n = a_{n-1} - 2\)[/tex], substitute the expression for [tex]\(a_{n-1}\)[/tex] from step 3 into the recursive rule:
[tex]\[a_n = (-2n + 9) - 2\][/tex]
[tex]\[a_n = -2n + 9 - 2\][/tex]
[tex]\[a_n = -2n + 7\][/tex]
So, the recursive rule is [tex]\(a_1 = 7\); \(a_n = a_{n-1} - 2\)[/tex]. Therefore, the correct answer is D.
The correct question is:
The explicit rule for a sequence is given.
an=−2n+7
What is the recursive rule for the sequence?
A. a1=7; an=an−1+2
B. a1=5; an=an−1−2
C. a1=−2; an=an−1+7
D. a1=7; an=an−1−2
Which number can each term of the equation be multiplied by to eliminate the fractions before solving? -0.75m-0.5=2+0.25m
-2
-3
-4
-5
Answers
Rewriting we have:
-0.75m-0.5 = 2 + 0.25m
- (3/4) m- (1/2) = 2 + (1/4) m
To eliminate the fractions we must multiply both sides of the equation by -4
-4 * [- (3/4) m- (1/2)] = - 4 * [2+ (1/4) m]
3m + 2 = -8-m
Answer:
Each term of the equation can be multiplied by -4 to eliminate the fractions before solving.
A pair of shoes costs three times as much as a scarf. The total cost of 1 pair of shoes and 1 scarf is $32. If s represents the cost of 1 scarf, which equation could you use to find the cost of 1 scarf?
Answers
I did it on TTM and it was correct ^^
Answer:
3s+s=32
Step-by-step explanation:
A vaccine has 90% probability of being effective in preventing a certain disease. the probability of getting the disease if the person is not vaccinated is 50%. in certain geographic region, 25% of the people get vaccinated. if a person is selected at random , find the probability that he or she will contract the disease
Answers
The probability that someone is vaccinated and contracts the disease is (0.25)(0.1)=0.025 (it is multiplied by 0.1 because if the vaccine is 90% effective, then there is a 10% chance someone that is vaccinated can contract the disease.
Add these together for the total: 0.375+0.025=0.4
There is a 40% chance that someone chosen at random will contract the disease.
Answer:
The probability that someone is vaccinated and contracts the disease is (0.25)(0.1)=0.025 (it is multiplied by 0.1 because if the vaccine is 90% effective, then there is a 10% chance someone that is vaccinated can contract the disease. Add these together for the total: 0.375+0.025=0.4
There is a 40% chance that someone chosen at random will contract the disease.
Question 5 (3 points) The soccer team is planning to sell health bars for a fundraiser. The prices of purchasing health bars from two different companies are represented by the system of equations shown, where x is the number of bars purchased and y is the total cost in dollars. Company A: y = 0.75x Company B: y = 10 + 0.50x How many bars would the team need to purchase from each company in order for the total cost to be equal?
Answers
In order to find this amount we have to find when the y values are worth the same. Since both equations are equal to y, we can set them equal to each other to find a time when the y values are the same.
Company A = Company B
.75x = 10 + .50x ---> Now subtract .50x from both sides.
.25x = 10 ---> Now divide both sides by .25
x = 40
When x = 40 it will cost $30 from both companies.
the answer is 40 bars hope it helps
Which of the following is equal to sqrt 50a^6b^7
Answers
To simplify [tex] \sqrt{50 a^{6} b^{7} } [/tex] we use the following identity: for positive values of a and b, [tex] \sqrt{ab}= \sqrt{a} \sqrt{b} [/tex]
That identity allows us to re-write what we are given as [tex] \sqrt{50} \sqrt{ a^6 } \sqrt{b^{7} [/tex]. Let us now consider each of these separately.
Though 50 is not a perfect square it can be written as 25 x 2 and 25 is a perfect square. Thus, we obtain [tex] \sqrt{50}= \sqrt{25} \sqrt{2}=5 \sqrt{2} [/tex]
Next we consider [tex] a^{6} [/tex] which is a perfect square as it is equal to [tex] (a^{3}) (a^{3}) [/tex]. Thus, [tex] \sqrt{a^{6}} = a^{3} [/tex]
Lastly, we consider [tex] b^{7} [/tex] which can be written as [tex](b^{1})( b^{6}) [/tex] and since [tex] b^{6} [/tex] is a perfect square we obtain the following: [tex] \sqrt{b ^{7} } =\sqrt{b ^{1}} \sqrt{b^6} = b^{3} \sqrt{b} [/tex]
Putting that all together we obtain [tex]\sqrt{50 a^{6} b^{7} }=25a ^{3}b ^{3} \sqrt{2b} [/tex]
There are 190 students taking band, chorus, or both. If there are 180 students taking band and 60 students in both band and chorus, how many students are only in chorus?
70
60
10
120
Answers
The answer would be 10. I know this because I got it right on my assignment. Have a great day!
If there are 180 students taking band and 60 students in both band and chorus, then 180-60=120 students are taking only band.
Now:
120 students are taking band;60 students are taking both band and chorus;190 students in total.Then 190-(120+60)=190-180=10 students are taking only chorus.
Answer: correct choice is C.
Melanie bought 3 adult tickets and 1 children ticket for $38. John bought 3 adult tickets and 2 children tickets for $52. What is the cost of each type of ticket
Answers
Then 3x +y = $38
3x+2y =$52, solving simultaneously
we subtract the two equation,
-y = -14
thus; y =14
to get x we substitute y with 14
3x = 38-14
3x =24
x =8
Therefore, the cost of 1 adult ticket is $8 while the cost of children ticket is $14
(05.02 MC)Henry wants to laminate the tabletop in his study room. The tabletop is the shape of an isosceles trapezoid shown here. If laminating costs $4 per square foot, what is the total cost to laminate the tabletop?
Can someone please explain step by step.
Offering all of my points and brainliest answer!!!!!
Please, Please, Please help me out
Answers
Let's separate the trapezoid into 3 shapes. Two triangles, and 1 rectangle.(I included an image of an isosceles trapezoid for reference)
First let's find the area of the triangles. We'll use this equation.a = areab = baseh = heighta = b · h · 0.5a = b · 3 · 0.5
We need to find the base of the triangle. To do this, we'll subtract 6 from 10, which equals 4. 4/2= 2 which is the base of the left and right triangle. Let me know if you're confused by that!!
a = 2 · 3 · 0.5a = 6 · 0.5a = 3The area of both triangles is 3.
Now we need to find the area of the rectangle. We'll use this equation.a = b · ha = 6 · 3a = 18
So the rectangle's area is 18, and both triangle's area is 3.18 + 3 + 3 = 24
Now we need to find the cost. 24 · 4 = 96
The answer is $96.
Hope this helps! :)
Answer:
96
Step-by-step explanation:
a) Using theorems pertaining to transverals and parallel lines, prove that m∠1 + m∠2 = 180o
b) Find the value of x.
Answers
b) Since <1 and <2 are supplementary, they add up to 180°. Therefore, <1 + <2 = 180:
(20x+5) + (24x-1) = 180
44x + 4 = 180
44x + 4 -4 = 180-4
44x = 176
44x/44 = 176/44
x = 4
For the given set of parallel lines l and m, the value of x is equal to 4.
Explanation:According to the question,
l ║ m
As per the theorem pertaining to transversal and parallel lines,
∠1 and ∠2 are supplementary if and only if they are interior angles.
m∠1 + m∠2 = 180° _____(1)
Here, ∠1 = 20x + 5
∠2 = 24x - 1
Substitute the value ∠1 and ∠2 in (1), we get
20x + 5 +24x - 1 = 180°
44x + 4 = 180°
44x = 176
x = 4
Hence, for the given set of parallel lines l and m, the value of x = 4.
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Angela used multiplication to simplify the expression by distributing the
1
2
through the parentheses.
Angela's expression:
1
2
(6X + 2)
Simplified expression: 3x + 2
Which statement is true of Angela’s work?
She correctly distributed the mc001-1.jpg through the parentheses.
Division, rather than multiplication, is the operation to use when distributing.
Angela needed to multiply mc001-2.jpg by each of the terms inside the parentheses.
Her product when multiplying mc001-3.jpg is incorrect.
Answers
Answer:
Angela needed to multiply [tex]\frac{1}{2}[/tex] by each of the terms inside the parentheses.
Her product when multiplying [tex]\frac{1}{2} X 2[/tex] is incorrect.
Step-by-step explanation:
For simplifying the expression [tex]\frac{1}{2}(3x+2)[/tex], we need to multiply [tex]\frac{1}{2}[/tex] by each of the terms inside the parentheses.
So,
Upon multiplying [tex]\frac{1}{2}[/tex] by 6X we get 3X.
Upon multiplying [tex]\frac{1}{2}[/tex] by 2 we get 1.
Thus the final simplified expression must be 3x+1
So we can say,
Angela needed to multiply [tex]\frac{1}{2}[/tex] by each of the terms inside the parentheses.
Her product when multiplying [tex]\frac{1}{2} X 2[/tex] is incorrect.
Angela attempted to use the distributive property to simplify the expression 1/2 (6X + 2), but while she correctly simplified 1/2 * 6X to 3X, she incorrectly simplified 1/2 * 2 as 2, instead of 1. Therefore, her method was correct, but the computation was incorrect.
Explanation:In mathematics, the Distributive Property is used to simplify expressions like the one Angela has used - 1/2 (6X + 2). In order to distribute correctly, Angela should perform the operation of multiplication for each term inside the parentheses by the 1/2 outside the parentheses. Therefore, it should look like this: (1/2 * 6X) + (1/2 * 2). This will simplify to 3X + 1. The issue with Angela's work was that, while she correctly simplified 1/2 * 6X to 3X, she incorrectly simplified 1/2 * 2 as 2, instead of the correct 1 value. Therefore, the correct statement about Angela's work is "Her product when multiplying is incorrect".
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can someone explain how to do this question and how to solve problems like this?
Answers
There are two components to this question:
(A) People that are certain
(B) People who believe the balloon will shrink
----------------------------------------------------------
Focus on aspect (A) for now. So that means highlight the values in the "certain" row, which is row 1. Add up these values: 9+8+6 = 17+6 = 23. There are 23 people who are certain.
Now move onto aspect (B). Highlight the "shrink" column which is column 1. Add up the values: 9+4 = 13. There are 13 people who believe it will shrink.
There are 23+13 = 36 people who either (A) are certain or (B) believe it will shrink and 9 who fit both (A) and (B). Subtract out these 9 because they are double-counted. So we go from 36 to 36-9 = 27
Overall there are 27 people that either are certain, believe the balloon will shrink, or fit both categories.
This is out of 38 students total (add up all the values shown in the table).
Divide those two values: 27/38
We reduce if possible. In this case, we cannot reduce as 27 and 38 have no common factors
----------------------------------------------------------
----------------------------------------------------------
The final answer is the fraction 27/38
Darryl deposits $1,500 into a savings account that has a simple interest rate of 2.7%. Lori deposits $1,400 into a savings account that has a simple interest rate of 3.8%. If no other transactions are made, who will have more money in their account after 10 years? How much more?
Answers
Answer:
Lori will make $27.00 more.
Step-by-step explanation:
The formula to calculate simple interest is
A = P(1+rt)
P = Principal amount
r = rate of interest ( in decimal )
t = time
First we calculate Darryl's deposit, so put the values in the formula
A = 1,500(1 + 0.027×10)
A = 1,500 ( 1+0.27 )
A = 1,500 × 1.27
A = $1905
Now we will calculate Lori's deposit
A = 1,400 ( 1 + 0.038 × 10 )
A = 1,400 ( 1 + 0.38 )
A = 1,400 × 1.38
A = $1,932
Lori will make money after 10 years = $1,932
Darryl will make money after 10 years = $1905
so Lori will make more than Darryl, the difference will be = 1,932 - 1,905 = $27
After 10 years Lori will have make $27.00 more in their account.
Answer:
$27
Step-by-step explanation:
plez give brainliest
Suppose that it takes Jenny 2 hours to wax a car if she works alone and it takes Carol 4 hours to wax the same car if she works alone. How long will it take them to wax the car, in hours, if they work together?
Answers
Calvin and Alvin together take approximately 1.875 hours, or 1 hour and 52.5 minutes, to wax a car.
To find out how long it takes Calvin and Alvin to wax a car together, we can use the formula for working together:
[tex]\[\frac{1}{T} = \frac{1}{T_1} + \frac{1}{T_2}\][/tex]
Where:
-[tex]\( T \)[/tex] is the time taken when working together,
- [tex]\( T_1 \)[/tex] is the time taken by Calvin alone, and
- [tex]\( T_2 \)[/tex] is the time taken by Alvin alone.
Given:
- Calvin takes 3 hours to wax a car alone, so [tex]\( T_1 = 3 \)[/tex] hours,
- Alvin takes 5 hours to wax a car alone, so [tex]\( T_2 = 5 \)[/tex] hours.
Substitute the values into the formula:
[tex]\[\frac{1}{T} = \frac{1}{3} + \frac{1}{5}\][/tex]
To solve for T, first find a common denominator:
[tex]\[\frac{1}{T} = \frac{5}{15} + \frac{3}{15} = \frac{8}{15}\][/tex]
Now, invert both sides of the equation to isolate T:
[tex]\[T = \frac{15}{8} \text{ hours} \approx 1.875 \text{ hours}\][/tex]
So, it takes Calvin and Alvin approximately 1.875 hours, or 1 hour and 52.5 minutes, to wax a car together.
The Correct Question is :
Suppose that it takes Calvin 3 hours to wax a car if he works alone and it takes Alvin 5 hours to wax a car if he works alone.
How long does it take them to wax a car if they work together? Write an equation and solve for the unknown.
Show your work.
Intr-un top de hartie sunt 26 de coli de matematica 15 coli de dictando si 30 de coli de hartie alba. care este probabilteata ca extragand la intamplare o coala ea sa fie de matematica?
Answers
Which solid figure has a base that is a polygon and a triangular faves that meet at a vertex
Answers
where the base is a polygon of 3 or more sides
An amusement park charges an admission fee of 50 dollars for each person. let c be the cost (in dollars) of admission for p people. write an equation relating c to p . then use this equation to find the cost of admission for 17 people.
Answers
Answer : C=50*17=850
The equation relating the cost of admission (c) to the number of people (p) is c = 50 * p. For 17 people, the total cost is c = 50 * 17, which equals $850.
To write an equation relating c to p, we set c, the cost of admission for p people, equal to the admission fee per person multiplied by the number of people. Given that the admission fee per person is $50, the equation is:
c = 50 * p
Using this equation to find the cost of admission for 17 people:
c = 50 * 17
c = $850
Therefore, the cost of admission for 17 people is $850.
Kendra has $ 7.75 $7.75 in nickels and quarters. if she has 13 13 more quarters than nickels, how many of each coin does she have?
Answers
13 more quarters than nickels
15 nickels = $0.75
28 quarters = $7.00
28 - 15 = 13 coins
$7.00 + $0.75 = $7.75
She has 15 nickels and 28 quarters.
Setting up a system of equations, we find that there is an error in the problem or the information provided.
Explanation:Let's set up a system of equations to solve this problem.
Let's say the number of nickels is x and the number of quarters is y. From the information given in the problem, we can set up two equations:
x + y = 7.75 (since the total value of the coins is $7.75)y = x + 13 (since there are 13 more quarters than nickels)Now we can solve this system of equations. Substituting the second equation into the first equation, we get:
x + (x + 13) = 7.75
Simplifying the equation, we get:
2x + 13 = 7.75
Subtracting 13 from both sides, we have:
2x = -5.25
Dividing both sides by 2, we find:
x = -2.625
Since we can't have a negative number of coins, there must be an error in the problem or the information provided.
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Which statement about the figure below is true?
Select one:
a. Points A, B, and E are not collinear.
b. Points C, F, B, and E are coplanar.
c. Points F, B, and C are collinear.
d. Points C, D, B, and F are coplanar.
Answers
If bill rides his bike 3 miles to Fred's house and then walks with Fred the remaining 1 mile to school, it will take him 30 minutes. But if he rides the entire distance, it will take him only 20 minutes. what is his walking and biking speed?
Answers
Final answer:
Bill's biking speed is 12 mph and his walking speed is 4 mph. We find the biking speed from the 20-minute ride distance and solve for the walking speed using the time difference in the 30-minute trip.
Explanation:
The student is asking about calculating walking and biking speeds based on different times to cover distances. To solve this, we'll use the information that Bill takes 30 minutes to ride 3 miles and then walk 1 mile, but only 20 minutes to ride the entire 4 miles to school.
First, we want to find the speed for each part of the trip when Bill takes 30 minutes. Since we know the total time and distances, we can set up two equations using the relationship speed = distance / time. Let's define biking speed as 'b' and walking speed as 'w'.
For the 30-minute trip:
3 miles / b + 1 mile / w = 0.5 hours
For the 20-minute, all biking trip:
4 miles / b = (1/3) hours
From the second equation, we find that b = 4 miles / (1/3 hour) = 12 mph. Substitute 'b' in the first equation:
3 miles / 12 mph + 1 mile / w = 0.5 hours
1/4 hour + 1 mile / w = 0.5 hours
To solve for 'w', we'll subtract the bike time from the total time:
1 mile / w = 0.5 hours - 1/4 hour
1 mile / w = 1/4 hour
So, the walking speed 'w' is 1 mile / (1/4 hour) = 4 mph.
Therefore, Bill's biking speed is 12 mph, and his walking speed is 4 mph.
Which of the following best describes set of numbers? 6, 9, 12, 15, ... infinite alternating sequence finite geometric sequence infinite arithmetic series infinite arithmetic sequence?
Answers
Answer:
It is an infinite arithmetic sequence
Step-by-step explanation:
we are given a set of numbers:
6,9,12,15,...
As we can see that
9-6=3
12-9=3
15-12=3
So, given set of numbers are a sequence of arithmetic progression with common difference 3 and terms in the sequence are infinite.
Hence, it is an infinite arithmetic sequence
David is filling five 3/4 quart bottles with a sports drink.His measuring cup only holds 1/4 quart.How many times will David need to fill tje measuring cup in order to fill the 5 bottels
Answers
The angles of triangle abc are in the ratio of 8:3:4. what is the maesure of the smallest angle
Answers
Jane earns $7.50 an hour and time-and-a-half for overtime. How
much does she earn for a 43.5-hour week?
a. $300
b. $363.50
c. $333.75
d. $339.38
ANSWER ASAP AND GET BRAINEST
(answer not c)
Answers
Answer:
339.375 choose d
Step-by-step explanation:
Regular work 40 hours and 3.5 overtime hours
Overtime wage is 1.5 times the regular one
40×7.5+3.5×7.5×1.5=339.375
How can you express (15 + 30) as a multiple of a sum of whole numbers with no common factor? 2 × (7.5 + 15) 3 × (5 + 10) 5 × (3 + 6) 15 × (1 + 2)
Answers
The sum of 15+30 = 45 and can be expressed as a multiple of prime factors:
(3^2)5
So (15+30) could be expressed as 9*5, but it can not be expressed as a non-repeating multiple of prime factors.
The condition of the car and its mileage are important variables to consider when making a decision to buy a used car.
true or false?
Answers
that is true
have a nice day
is the correct answer...................:)
Solve the system of equations using the substitution method.
{4x+5y=7
{y=3x+9
Enter your answers in the boxes.
x=
y=
Answers
4x+15x+45=7
19x=7-45
19x = -38
[tex] \frac{19x}{19} = \frac{ - 38}{19} [/tex]
x= -2
y=3(-2)+9
y=-6+9
y= 3
The value of x is 2 and value of y is 3 in the system of equation.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The system of equations are 4x+5y=7
y=3x+9
We have to find the value of x and y by substitution method in system of equation
Substitute the value of y in first equation
4x+5(3x+9)=7
4x+15x+45=7
Add the like terms
19x+45=7
Subtract 45 on both sides
19x=7-45
19x=-38
Divide both sides by 19
x=-2
Now plug in x value
y=3(-2)+9
y=3
Hence, the value of x is 2 and value of y is 3 in the system of equation.
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