Answer:
Step-by-step explanation:
1/[tex]\sqrt{5}[/tex]
=1[tex]\sqrt{5}[/tex] *[tex]\sqrt{5}[/tex]/[tex]\sqrt{5}[/tex]
=1*[tex]\sqrt{5}[/tex]/[tex]\sqrt{5}[/tex]*[tex]\sqrt{5}[/tex]
=1[tex]\sqrt{5}[/tex]/5
A Ferris wheel has a diameter of 380 feet and the center of the wheel is 195 feet above the ground. The wheel makes a complete turn every 4 minutes. Write a cosine function to express the height h (in feet) of a passenger on the wheel as a function of time t (in minutes), given that the passenger is at the lowest point on the wheel when t
Answer:
y = -190 cos(π t / 120) + 195
Step-by-step explanation:
General form of a sinusoidal function: y = A cos(Bt - C) + D
Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative.
A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.
2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120.
C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0.
D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.
Your final function will be:
y = -190 cos(π t / 120) + 195
What is the measure of arc GH?
Answer:
62 degrees
Step-by-step explanation:
The angle is an inscribed angle, so its measure is half the measure of the intercepted arc.
Said another way, the intercepted arc is twice the measure of the inscribed angle.
2 x 31 = 62
find the value of x
Answer:
x = 25
Step-by-step explanation:
40 is a vertical angle equal to the angle to the right of 2x.
2x, 40, and 90 are supplementary angles (they add up to 180)
2x + 40 + 90 = 180
2x + 130 = 180
2x = 180 - 130
2x = 50
x = 25
Answer:
they are right
Step-by-step explanation:
Please help me almost due!!!:):$:
Answer:
Our two selected points:
-3, 3
2, -4
-4 -(3) 7
_____ = - _____ = -7/5, D is your answer
2 - (-3) 5
Which of the following are maximum and minimum points of the function y= 2 cos x - 1?
A) Maximums: (0, 3), (2π, 3); Minimum: (π, -3)
B) Maximums: (0, 1), (2π, 1); Minimum: (π, -3)
C) Maximums: (0,3), (2π, 3); Minimum: (π, -1)
D) Maximums: (0, 1) (π/2, 1); Minimum: (3^π/2, -3)
Answer:
B) Maximums: (0, 1), (2π, 1);
Minimum: (π, -3)
A regular size bag of Skittles costs $1.24 and contains 62 candies. How much does EACH candy cost?
Answer:
2 cents or $.02
Step-by-step explanation:
1.24/62=.02
Find the gradient of the following line
Answer:
y=-2.6+2
Step-by-step explanation:
using the eqaution y=mx+c
A rhombus has diagonals with lengths 6 cm and 10 cm. It’s area is ____
A. 60 cm^2
B. 30 cm^2
C. 15 cm^2
D. 36 cm^2
Answer:
B.
Step-by-step explanation:
A = ab/2
A = (6 cm)(10 cm)/2
A = 30 cm^2
Answer: B.
6 less than half of r : translate into expression
Answer:
r/2 -6
Step-by-step explanation:
less than means it comes after
half of r
r/2
6 less than means subtract
r/2 -6
pupils are required to spend 3/8 of the day at school and 2/3 of that time in class. How much time do they spend doing Mathematics? Give your answer in minutes.
Answer:
[tex]Time \ in\ school = \frac{3}{8} \ of \ the \ day[/tex]
= [tex]\frac{3}{8} \times 24 = 9 \ hours \ in \ school[/tex]
[tex]Time \ in \ class = \frac{2}{3} \ of \ the \ time \ in \ school = \frac{2}{3} \times 9 = 6 \ hours \ in \ class[/tex]
1 hour = 60 minutes
Therefore, 6 hours = 360 minutes
So , 360 minutes they spent doing mathematics.
1. Calculate the volume of the rectangular prism. Answers are in cubic
millimeters.
4 mm height
17 mm width
9 mm length
Answer:
The answer is 612
6x – 3x + 4 – 2x = x + one solution ,no solution, and many solution
Answer:
6x – 3x + 4 – 2x = x
x+4=x
4=0
no solution
hope this helps
have a good day :)
Step-by-step explanation:
does anyone know this
Answer:
a=170
Step-by-step explanation:
180-6=174mil
round to 170.
Answer:
4.9 (rounded)
Step-by-step explanation:
a^2 + 1^2 = 5^2
a^2 + 1 = 25
- 1 - 1
= a^2 = 24
[tex]\sqrt{a^2 = 24}[/tex] = 4.9 (rounded)
I just need someone to help me with this, I will give brainilist I just need someone to put these numbers in the correct order!!!!!!!
Answer: I think it’s C
Answer:
A is the correct answer to this problem.
Sarah went on a run. On her run she found 6 rocks. When she was going back home she found 7 more rocks. When she got home she relized she lost 2 of the rocks. How many rocks does she have now?
Answer:
11
Step-by-step explanation:
first you add 6 + 7 = 13
then you 13 - 2 which gives you eleven!
At his new job, Jeremiah can choose an hourly rate of $9 plus a $50 weekly bonus for opening the store, or an hourly rate of $10 per hour with no opening bonus. The equations model his salary options.
Help Please I will mark brainlist dont answer if you don’t know and no links.
Answer:
63
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
Ryan invested $5,900 in an account paying an interest rate of 5% compounded
monthly. Assuming no deposits or withdrawals are made, how much money, to the
nearest cent, would be in the account after 11 years?
Answer:
10214.51
Step-by-step explanation:
5900 * (1+ (0.05/12))^(12*11)
please give brainliest
Answer:
10214.51
Step-by-step explanation:
Maria is given a pay increase of 3%. After the pay increase, she earns $2472 each month. Calculate her monthly pay before the pay increase.
Answer: $2400
Step-by-step explanation:
Given
Maria got a hike of 3%.
After the hike she earns $2472 each month
Suppose, before hike she earns x each month
[tex]\Rightarrow x+x\times 3\%=2472\\\Rightarrow x(1+0.03)=2472\\\Rightarrow 1.03x=2472\\\Rightarrow x=\$2400[/tex]
Thus, she earns $2400 before the hike.
How many more lawns can logan mow per hour thanhow many more lawns can logan mow per hour than brian brian
Answer:
Logan can mow 1 lawn per hour more than Brian
Step-by-step explanation:
Given
[tex]Logan: 8\ lawns \to 4\ hours[/tex]
See attachment for Brian's graph
First, calculate Logan's hourly rate
[tex]Rate = \frac{Lawn}{Time}[/tex]
[tex]Rate = \frac{8\ lawns}{4\ hours}[/tex]
Rate = 2 lawns per hour
To calculate Brian's rate, we select 2 points from the linear graph
[tex](x_1,y_1) = (1,1)[/tex]
[tex](x_2,y_2) = (2,2)[/tex]
So, the rate is:
[tex]Rate = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]Rate = \frac{2 - 1}{2 - 1}[/tex]
[tex]Rate = \frac{1}{1}[/tex]
Rate = 1 lawn per hour
So, we have:
[tex]Logan = 2[/tex]
[tex]Brian = 1[/tex]
Calculate the difference (d)
[tex]d = Logan - Brian[/tex]
[tex]d = 2 - 1[/tex]
[tex]d = 1[/tex]
Logan can mow 1 lawn per hour more than Brian
help i’ll give brainliest
Answer:
The answer would be D, hope this helps
please answer this question
Answer:
see explanation
Step-by-step explanation:
(a)
[tex]\frac{3}{7}[/tex] a × - [tex]\frac{21}{15}[/tex] b ( cancel 3 and 15 and 7 and 21 )
= a × - [tex]\frac{3}{5}[/tex] b
= - [tex]\frac{3}{5}[/tex] ab
(b)
3xy(5x²y² - 4yz) ← multiply each term in the parenthesis by 3xy
= 15x³y³ - 12xy²z
Given that Δ C A T ≅ Δ D O G, select all statements that must be true
what is thirty times 80
Answer:
2400
Step-by-step explanation:
3 times 8 is 24
24 added by two zeros is 2400
Hope this helps!
a designer created a scale drawing of a new kitchen. In the scale drawing, the length of the kitchen will be 8 feet. What scale did the designer use to create the scale drawing of the kitchen
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Scale\ length = 8ft[/tex]
Required
Determine the scale of the drawing
The question is incomplete, as the actual width of the kitchen is not given. The general explanation, however, is as follows:
The scale of a drawing is represented as:
[tex]Scale = Scale\ Measurement : Actual\ Measurement[/tex]
This gives:
[tex]Scale = 8ft : Actual[/tex]
Assume the actual length of the kitchen is 24ft.
The equation becomes:
[tex]Scale = 8ft : 24ft[/tex]
Divide by 8ft
[tex]Scale = 8ft/8ft : 24ft/8ft[/tex]
[tex]Scale = 1 : 3[/tex]
YALLL HELPP ME PLEASEE!!!!!!!!
Step-by-step explanation:
1. -5 not suree
2.50
my anwser could be wrong sooo...
A recipe calls for 21 scoops of sugar. Each scoop is 2.5 oz of sugar. How many scoops do you need if the scoop holds 3.5 oz of sugar?
Answer:
you would need 6 scoops of sugar
Answer:
You would need 15 scoops of sugar per 3.5 oz
Step-by-step explanation:
In which function is the range equal to the domain?
1) y = 2
2) y=x?
3) y = log x
4) y = x
Solve for angle A. Please help quickly !!
Answer:
∠ A ≈ 75.7°
Step-by-step explanation:
Given
[tex]\frac{sinA}{8}[/tex] = [tex]\frac{sin58}{7}[/tex] ( cross- multiply )
7 × sinA = 8 × sin58° ( divide both sides by 7 )
sinA = [tex]\frac{8sin58}{7}[/tex] , then
∠ A = [tex]sin^{-1}[/tex] ([tex]\frac{8sin58}{7}[/tex] ) ≈ 75.7° ( to the nearest tenth )
Identify the sample space of the probability experiment: answering a true or false question.
Answer:
we would need to know what the experiment was or we can't awnser