600 x 0.60 = 360 pounds
360 /0.72 = 500
He got $500
A pole that is 3.1 m tall casts a shadow that is 1.57 m long. At the same time, a nearby tower casts a shadow that id 50.5 m long. How tall is the tower? Round your answer to the nearest meter.
Step-by-step explanation:
an object and its shadow create a right-angled triangle.
2 objects and their shadows at the same time create therefore two similar right-angled triangular
triangles.
that means the angles are the same, and each side length of one triangle correlates to the corresponding side length of the other triangle by the same factor.
so, when we know the factor of one pair of sides, we can calculate the lengths of the others by using the same factor.
therefore,
1.57 × f = 50.5
f = 50.5 / 1.57 = 32.1656051...
the height of the tower is then
3.1 × f = 3.1 × 32.1656051... = 99.7133758... m ≈ 100 m
leo scored 3 out of every 4 questions on a exam. What percentage of the questions did he get right
kam
An object oscillates as it moves along
the x-axis. Its displacement varies with
time according to the equation
x = 3 cos(6pi t + pi/2)
where t is in seconds
What is the frequency of this motion?
The frequency of this motion is 3 Hz
The standard equation of an oscillation is given by:
x = A cos(ωt + Ф)
Where x is displacement, A is amplitude, ω is angular frequency = 2πf and Ф is phase difference.
Given the equation:
x = 3 cos(6πt + π/2)
Hence;
ω = 6π
2πf = 6π
f = 3 Hz
The frequency of this motion is 3 Hz
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the ps/ms soccor team purchased uniforms and equipment for a total cost of 692. the equiptment cost 422 and the uniforms cost 30 each. how many unifroms were ordered
Answer:
The answer is 9 uniforms.
Step-by-step explanation:
You can set up the equation like this
Total Cost = Total Cost of Equipment + Total Cost of Uniforms
So the equation would be:
692 = 422 + 30 * (# of Uniforms)
So minus both sides by 422 and you get
692-422 = 30 * (# of Uniforms)
270 = 30 * (# of Uniforms)
Then divide both sides by 30 and you get
9 = # of Uniforms
So therefore, the answer is 9 Uniforms
Fiona and her sisters grew over the past three months. She records the change in heights of her and her sisters in the table below. Height (in.) Height (in.) Height (in.) Month 1 Month 2 Month 3 Fiona 4 8 12 Alicia 4 5 6 Emilia 5 10 15 Which sister grew at a proportional rate? A.) Fiona only B.) Alicia only C.) Alicia and Emilia D.) Fiona and Emilia
Answer:
Open this doc for full answers and steps
Step-by-step explanation:
open the link!
blink.org
If cos(θ)= -2/3 and θ lies in quadrant II, find the value of cotθ
[tex]\text{Given that,}\\\\\cos \theta = - \dfrac 23\\\\\implies \cos^2 \theta = \dfrac 49\\\\\implies 1- \sin^2 \theta = \dfrac 49\\\\\implies \sin^2 \theta =1-\dfrac 49\\\\\implies \sin^2 \theta =\dfrac 59\\\\\\\text{Now,}\\\\\cot^2 \theta = \dfrac{\cos^2 \theta}{\sin^2 \theta} \\\\\\\implies \cot^2 \theta = \dfrac{\tfrac 49}{\tfrac 59}\\\\\\\implies \cot^2 \theta = \dfrac 49 \times \dfrac 95\\\\\\\implies \cot^2 \theta = \dfrac 45\\\\\\[/tex]
[tex]\implies \cot \theta = \pm\sqrt{\dfrac 45} = \pm \dfrac 2{\sqrt 5}\\\\\\\text{Since}~ \theta ~ \text{lies in the second quadrant,} \cot \theta ~\text{will be negative.}\\\\\text{Hence,}~ \cot \theta = - \dfrac{2}{\sqrt 5}[/tex]
Answer:
yysywywyyw7e7eueuuwuwuuwueu3u3
Please find the range of these numbers
Answer:
91 - 74 = 17
Step-by-step explanation:
The range is the difference between the highest and lowest values in a set of numbers.
Helpppp asapppppppppppppp 15 points
Answer:
Last one
Step-by-step explanation:
17 times 3 is 51
Answer:
is it the first one
Step-by-step explanation:
cause
51 divide by 3 is 17
I need help with this question
Answer:
Option D
Step-by-step explanation:
a^2 + b^2 = c^2
5^2+b^2=9^2
25+b^2=81
b^2=56
b=2√14
Who can help me with this!!
Robin currently has 50 subscribers on her You Tube channel, and Dimitri currently has 17 subscribers. Robin gains 4 subscribers every week, while Dimitri gains 7 subscribers each week.
Part A: Set up a system of equations to shows each person's subscribers. (2 points)
Part B: After how many weeks will Robin and Dimitri have the same number of subscribers? (1 point)
Part C: How many subscribers will Robin and Dimitri have when their subscriber count is equal? (1 point)
We want to write and solve a system of equations to model the given situation.
The answers are:
A)
y = 50 + 4*x
y = 17 + 7*x
B) after 11 weeks.
C) 94 subscribers.
First, we must find the two linear equations, we know that Robin has 50 subscribers and she gets another 4 per week.
Then for Robin, we can write:
y = R(x) = 50 + 4*x
The equation that models the number of subscribers that Robin has at week x.
Dimitri at the moment has 17 subscribers and wins 7 per week, then his equation is:
y = D(x) = 17 + 7*x
A) Then the system of equations is just:
y = 50 + 4*x
y = 17 + 7*x
B) Now we must solve the system.
Notice that in both equations we have y isolated, then we can write:
50 + 4*x = y = 17 + 7*x
50 + 4*x =17 + 7*x
Now we can solve this for x:
50 + 4*x =17 + 7*x
50 - 17 = 7*x - 4*x
33 = 3*x
33/3 = 11 = x
This means that at week 11 they will have the same number of subscribers.
C) To get this we just need to evaluate any one of the two linear equations in x = 11
D(11) = 17 + 7*11 = 94
Both of them will have 94 subscribers.
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The following shapes are congruent. Write the correct congruence statement for shape MJZP.
A. BLXY
B. LXYB
C. XYBL
D. YBLX
Answer:
B. LXYB.
Step-by-step explanation:
if the nth term of a sequence is n^2-5 what are the first three terms and the 10th term
Answer:
-4, -1, 4
95
Step-by-step explanation:
when n is 1
n² - 5 = 1² - 5
1 - 5 = -4
when n is 2
n² - 5 = 2² - 5
4 - 5 = -1
when n is 3
n² -5 = 3² - 5
9 - 5 = 4
10th term, when n is 10
n² - 5 = 10² - 5
100 - 5 = 95
1/2 + (-7) – 2 1/2 - (-2)
Given the Data Points : (9, 72) (4, 32) (7, 56) What is the constant of variation?
The constant of variation of the data point is 8.
An equation is an expression that shows the relationship between two or more variables and numbers.
If two variables are proportional, they can be represented by:
y ∝ x
y = kx
k is the constant of variation.
For the point (9, 72):
72 = 9k
k = 8
For the point (4, 32):
32 = 4k
k = 8
For the point (7, 56):
56 = 7k
k = 8
The constant of variation of the data point is 8.
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The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
158, 155, 152, ...
Find the 34th term
The 34th term of the sequence 158, 155, 152 ...... is 59
The sequence is as follows:
158, 155, 152 ......
let
a = first term = 158
d = common difference = 155 - 158 = -3
Using Arithmetic progression formula, let's find the 34th term as follows:
aₙ = a + (n - 1)d
a₃₄ = 158 + (34 - 1)-3
a₃₄ = 158 + (33)(-3)
a₃₄ = 158 - 99
a₃₄ = 59
Therefore, the 34th term of the sequence is 59.
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you and a friend go to starbucks. you spend $5.25 on a venti pumpkin spice latte and buy 4 chocolate chip cookies. your friend decides against coffee and only purchases 7 chocolate chip cookies. if you both spent the same amount of money, what was the price of one chocolate chip cookie? Give the algebraic equation
Answer: 1.75
Step-by-step explanation:
5.25 / 3 = 1.75
1.75 x 4 = 7
7 + 5.25 = 12.25
1.75 x 7 = 12.25
since they are the same answer it's right
Translate and solve. The quotient of m and 6/7 is 5/6
Answer:
m / 6/7 = 5/6
m = 35
Step-by-step explanation:
Answer:
m = 5/7Step-by-step explanation:
The quotient of m and 6/7 is 5/6:
m ÷ 6/7 = 5/6m = 5/6 × 6/7m = 5/7Complete the table if x & y vary inversely
Answer:
(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)
Solve for x in the equation x2 + 4x-4=8.
O x = -6 or x = 2
X=-2+2/2
O x = -2 or x = 6
O x=2+2V5
[tex] {x}^{2} + 4x - 4 = 8 \\ = > {x}^{2} + 4x - 4 - 8 = 0 \\ = > {x}^{2} + 4x - 12 = 0 \\ = > {x}^{2} + 6x - 2x - 12 = 0 \\ = > x(x + 6) - 2(x + 6) = 0 \\ = > (x - 2)(x + 6) = 0 \\ = > x = 2 \: \: \: or \: \: \: x = - 6 [/tex]
Answer:
x = -6 or x = 2
Hope you could get an idea from here.
Doubt clarification - use comment section.
How many points are on this plane?
Answer:
5
Step-by-step explanation:
A,B and C would be the inside of the plane not outside.
Sally wants to buy themselves a beautiful, scrumptious, delightful cake but they don't know how money works. If Sally has $50.00, and the cake is $54.99, how much more do they need? literally just made this question off the top of my mind xD
Answer:
$4.99
Step-by-step explanation:
$54.99-$50.00=$4.99
Answer:
Step-by-step explanation:
cake: $54.99
sally money: $50.00
54.99-50= $4.99 lol
Mr. Pham mowed 2/7 of his lawn. His son mowed 1/4 of it.
Who mowed the most?
Answer:
Mr. Pham with 2/7
Step-by-step explanation:
2/7 = 0.286
1/4= 0.25
so 2/7 is ur correct answer.
PLEASE HELP QUESTION IN PIC.
Answer:
Perimeter= 40
Area= 120.7
Step-by-step explanation:
A shop charges $4.95 for a large 9-ounce frozen
yogurt.
What is the cost per ounce of the frozen yogurt?
Answer: $0.55
Step-by-step explanation:
$4.95/9=$0.55 ( 1 ounce frozen yogurt)
A shop charges $4.95 for 9 ounces frozen yogurt, then the cost of per ounce yogurt is $0.55.
What is an arithmetic operation?Addition, subtraction, multiplication, and division of two or even more integers are the four basic mathematical operations. Included among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given data in the question,
Price of 9 ounce yogurt = $4.95
Then,
The cost of per ounce of yogurt = 4.95/9 = $0.55.
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Write the equation of the line that passes through the points (-1, 2) and (6, 3) in slope-intercept form.
Answer:
Step-by-step explanation:
Given:
x1 = -1
x2 = 6
y1 = 2
y2 = 3
Solution:
m = ( y2 - y1 ) / ( x2 - x1 )
m = ( 3 - 2 ) / ( 6 - -1 )
m = 1 / ( 6 + 1 )
m = 1/7
Then,
y - y1 = m ( x - x1 )
y - 2 = 1/7 ( x - -1)
y - 2 = 1/7 ( x + 1 )
y - 2 = 1/7x + 1/7
y = 1/7x + 1/7 + 2
y = 1/7x + 15/7
A rental car company charges $35 per day to rent a car and $0.15 for every mile driven. Enola wants to rent a car, knowing that:
She plans to drive 450 miles.
She has at most $260 to spend.
Write and solve an inequality which can be used to determine xx, the number of days Enola can afford to rent while staying within her budget.
Answer:
260≤67.5+35x
Step-by-step explanation:
the sum of kyras and calebs age is 37. calebs age is equal to twice the quantity of kyras age decreased by 4. let k represent kyras age.
The ratio of the radii of two circles is 2:3. Find the ratio of their areas. If the area of the bigger circle is 3123 sq. cm, find the area of the smaller circle.
Answer:
Your answer .
Step-by-step explanation:
What is the HCF of 62 and 24 ?
Answer: As you can see when you list out the factors of each number, 2 is the greatest number that 24 and 62 divides into.
Step-by-step explanation: