At the end of her work day at the Ferguson Corporation, Sarah usually
walks to the subway station to travel home. Today, she is walking to the
Springdale Town Center first to take care of some errands. She will then
continue walking to the subway station to travel home. The map of these
routes is shown below.
2000 feet
Subway
Ferguson
Corporation
Station
Springdale
Town Center
If Sarah walks to the Springdale Town Center from the Ferguson
Corporation and then to the Subway Station, how much farther will she
walk than if she walks directly to the Subway Station from the Ferguson
Corporation? Show all of your work.
Answers
Answer:
1263.7032 feets
Step-by-step explanation:
Distance from Ferguson corporation to Springdale Town center ; let the distance = x
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 27 = x / 2000
0.5095254 * 2000 = x
1019.0508 feets
Distance from Springdale to Subway station, this is the hypotenuse :
Hypotenuse = √(1019.0508² + 2000²)
Hypotenuse = √5038464.7
Hypotenuse = 2244.6524 feets
Total distance walked from Ferguson to Springdale, then to Subway ;
(1019.0508 + 2244.6524) feets = 3263.7032 feets
Additional distance walked :
(3263.7032 feets - 2000 feets) = 1263.7032
In this exercise we have to calculate the distance knowing about the laws of a triangle, so we have to:
[tex]H=1263.7032 feets[/tex]
We can use the definition of tangent to calculate:
[tex]Tan\theta = opposite / Adjacent\\Tan 27 = X / 2000\\0.5095254 * 2000 = X\\=1019.0508 feets[/tex]
Now using the Pythagorean theorem we have:
[tex]H = \sqrt{(1019.0508^2 + 2000^2)}\\H = \sqrt{5038464.7}\\H = 2244.6524 feets\\(1019.0508 + 2244.6524) = 3263.7032 feets\\(3263.7032 feets - 2000 feets) = 1263.7032[/tex]
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Related Questions
What is the volume of the cylinder below? Use 3.14 for Pi and round to the nearest tenth.
464.8 cm3
729.7 cm3
1,234.8 cm3
1,459.3 cm3
Answers
Answer:
V= πr^2h
Step-by-step explanation:
Given data
Note: Incomplete question
No picture/ detailed information of the cylinder was given
The dimension of a cylinder is given as
radius= r
Height = h
Although, we know that the expression for the volume of a cylinder is given as
V= πr^2h
Hence, you plug in the values of r and h into the expression above to get the volume of a cylinder
Write as an expression of factors 10x^3 + 4x ^2 - 6?
Answers
When a plant or animal dies, it stops acquiring carbon-14 from the atmosphere. The amount y (in grams) of carbon-14 in the body of an
organism after t years is y = a(0.5)
t/5730
where a is the initial amount (in grams). What percent of the carbon-14 is released each year? Round
your answer to the nearest hundredth.
his
about
%
Answers
Answer:
0.01 %
Step-by-step explanation:
The given model is;
y = a (0.5)^t/5730
Which is;
y = a(2^-1(t/5730)
Then;
y = a (2^-1/5730)^t
y = a(0.999879)^t
Hence;
Given that the general model is;
y(x)= a(1-r)^x
Where r is the rate percent
Since 1-r =0.999879
r = 0.00012096
y = a(1 - 0.00012096)^t
So;
r= 0.00012096* 100 = 0.01 %
Helppppp I need help with this no links please
Answers
2.slope is -1/1 and y=1 and y=1x+1
In the diagram shown on the left , three lines intersect to form a triangle . What is the value of x ?
Answers
A rock is dropped from a hot air balloon at a height of 100 meters. The rock's
height from the ground in meters, h(t), is modeled by the formula
h(t) = -4.9ť + 100, where t is the time in seconds.
What is the average rate of change in m/s of the height of the rock between 2 and
4 seconds?
A. -4.9
B. -9.8
c.-29.4
D. -58.8
Answers
Answer:
-29.4
i was told trust me ig?
The average rate of change in m/s of the height of the rock between 2 and 4 seconds is -4.9.
What is average?The average is defined as the mean value of the given data which is equal to the ratio of the sum of the data value to the total number of units present in the data.
Average = the sum of the data value / the total number of units
The rock's height from the ground in meters, h(t), is modeled by the formula h(t) = -4.9ť + 100,
where t is the time in seconds.
At t = 2 seconds
h(t) = -4.9ť + 100
h(t) = -4.9(2) + 100
= 90.2
At t = 4 seconds
h(t) = -4.9ť + 100
h(t) = -4.9(4) + 100
= 80.4
The average rate of change in m/s of the height of the rock is between 2 and 4 seconds
= 80.4 - 90.2 / 2
= - 4.9
Thus, the correct option is A.
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Using the tax schedule below, which equation would you use to calculate the tax for a couple with taxable income of $188,500?
Taxable Income.
If line 10 is-
At least $100,000 but not over $165,000
Over $165,000 but not over $315,000
Over $315,000 but not over $400,000
Over $400,000 but not over $600,000
Over $600,000
(a)
Enter the amount
from line 10
$
$
$
$
s
(6)
(c)
Multiplication
Multiply
amount (a) by )
x 22% (0.22) S
x 24% (0.24) S
X 32% 0.32) $
x 35% (0.35) s
x 37% (0.37) IS
(d)
Subtraction amount
$ 8,121.00
$11,421.00
$36,621.00
$48.621.00
$60,621.00
Tax.
Subtract (d) from (c)
Enter the result here
and on the entry
space on line 112
$
S
$
$
$
Answers
Answer: I think it is B
Step-by-step explanation:
WILL MARK BRAINLIEST!
Answers
Answer:
1996 and 2000
Step-by-step explanation:
Since P (the population) is represented in thousands, 8000 will be represented by 8.
Plug in 8 as P and solve for t:
P = 2|t - 8| + 4
8 = 2|t - 8| + 4
4 = 2|t - 8|
2 = |t - 8|
Separate this into 2 possible cases:
2 = t - 8 and -2 = t - 8
Solve:
2 = t - 8
10 = t
-2 = t - 8
6 = t
So, the answers are 6 and 10.
The town will have a population of 8000 in 1996 and 2000
If ∠2 is 70˚, what is the measure of ∠4?
Answers
Answer:
Step-by-step explanation:
If the measure of angle A is 70 degrees, then what is the measure of the supplement of the complement of angle A? 12
The measure of ∠4 is 20° when ∠2 is 70˚
What is Angle?An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
An angle is the figure formed by two rays,
The given angle ∠2 = 70°
Complementary angles : A Pair of angles whose sum is 90°
So, Let the complement of ∠A be x
So, ∠2+∠4 = 90°
70°+∠4 = 90°
∠4= 20°
Hence, the measure of ∠4 is 20°
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Find the value of x. Round your answer to the nearest tenth.
57°
15
Х
X =
Answers
Answer:
x = 14
Step-by-step explanation:
Please tell me if I'm wrong. if so I'm sorry
The value of the unknown variable is 12.6.
What is a triangle?A triangle is a two - dimensional figure with three sides and three angles.
The sum of the angles of the triangle is equal to 180 degrees.
∠A + ∠B + ∠C = 180°
Given is a right angled triangle as shown in the image.
There are six major trigonometric functions as -
Sine(x)Cosine(x)Tangent(x)Cotangent(x)Secant(x)Cosecant(x)We can write the relation between them as -
Sine = 1/cosecantCosine = 1/secantTangent = 1/CotangentWe can write the value of the unknown variable {x} as -
sin(57°) = x/15
sin(57°) = x/15
x = 15 sin(57°)
x = 15 x 0.838
x = 12.6
So, we can conclude that the value of the unknown variable is 12.6.
Therefore, the value of the unknown variable is 12.6.
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NEED IT ASAP
Find the missing side.
3 is A^2
5 is B^2
what is the missing side
Answers
Answer:
5.83
Step-by-step explanation:
Use the Pythagorean theorem:
3^2+5^2 = c^2
34 = c^2
sqrt34 = c
5.83 = c
A^2+B^2=c^2
9+25=34
34=C^2
^2/34
=5.83
A PlayStation 5 originally sells for $499.99. If you can only find them on eBay for $899.99, what is the percent of increase from the original price?
Answers
Answer:
There would be an 80% increase from 499.99 to 899.99.
This is the graph of f(x). What is the value of f(2)?
A. 8
O O
B. 4
C. 2
D. 16
Answers
Answer:
c.2
Step-by-step explanation:
f(x)=2 and where is x you place it with 2 and it won't change because there is no another number is the equation of f(X)
A survey asked high shcool students to pick their favorite subject. THe results are shown in the table
Answers
Answer:
Sorry there is no table or picture to show the subjects ;-;
Step-by-step explanation:
Answer:
Step-by-step explanation:
35
A right triangular prism and its net are shown below.
(All lengths are in centimeters.)
Answers
Answer:
A=4
B=6
C=8
D=10
SA=248cm
Step-by-step explanation:
SA=bh+(s1+s2+s3)H
=6×8+(6+4+10)10
248cm
Please help!
Acellus
Find the volume of the following
square pyramid.
6 cm
6 cm
6 cm
V = [?] cm3
Enter
Answers
Answer: 72
Step-by-step explanation:
V=1/3bh
B= 6*6= 36
H=6
1/3*36*6
Answer: 72
Step-by-step explanation: 6*6*6/3
A six-sided number cube is rolled. Event A consists of rolling an even number. Event B consists of rolling a number greater than four. Match the correct sample space to each event.
1. {2, 4, 5, 6}
2. {1, 3, 5}
3. {5, 6}
4. {6}
5. {4, 5, 6}
6. {2, 4, 6)
A. Complement of A
B. Union of A and B
C. B
D. Intersection of A and B
ASAP!!!! PLEASE!!!!!
Answers
Answer:
A-2
B-1
C-3
D-4
Step-by-step explanation:
Got it right on Edmentum
Answer:
A. 2
B. 1
C. 3
D. 4
Step-by-step explanation:
A.
A = {2, 4, 6}
Complement of A = {1, 3, 5}
Answer: 2
B.
A = {2, 4, 6}
B = {5, 6}
A U B = {2, 4, 5, 6}
Answer: 1
C.
B = {5, 6}
Answer: 3
D.
A ∩ B = {2, 4, 6} ∩ {5, 6} = {6}
Answer: 4
the radius of a sphere with volume 288cm
Answers
Answer:
The radius (r) of a soccer ball with a volume of 288 cm3 is 6 cm.
a farmer has 20,000 soybeans seeds he has already planted 6,000 seeds he is planting 2,000 seeds on each acre of land how many acres can the framer plant with the remaining seeds
Answers
Answer:
acres he can plant with remaining seeds
Step-by-step explanation:
i got it correct on ttm
Answer:
acres he can plant with remaining seed
for brainiest:):):):):):)
Answers
Answer:
Just a rough try of the STRUCTURE, not the actual. Use a protractor.
Delthamath
Please help me!! ⚠️
Answers
(4,5)
Two angles in a triangle measure 18° and 160°. What is the measure of the third angle?
Answers
Answer:
2
Step-by-step explanation:
add 18 to 160 then subtract the answer from 180.
A hot air balloon holds 2,200 cubic meters of helium. The density of helium is 0.1785 kilograms per cubic meter. How many kilograms of helium does the balloon contain, rounded to the nearest tenth of a kilogram? (5 points) 2,199.8 kg 11,195.9 kg 392.7 kg 2,200.2 kg
Answers
392.7
To get the answer multiply Density * Volume
Mass = 0.1785 * 2200
Mass = 392.7
The amount of helium present in the hot air balloon = 392.7 kg
Formula to calculate density:d = mass / volume
Given: volume of helium present in a hot air balloon = 2200 cubic meters
density of helium = 0.1785 kilograms per cubic meter
Let, m represents the amount of helium present in the balloon.
Using the formula of density,
density of helium = mass of helium / volume of helium
⇒ 0.1785 = m / 2200
⇒ m = 0.1785 × 2200
⇒ m = 392.7 kg
Therefore, option (c) is the correct answer.
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The radius of a cylinder water tanks 6' in its hide is 9' what is The volume of the tank
Answers
Answer:
6^6 = 36 (squared my radius in order to find the area of one circle)
36 x 3.14(multiplied my radius by pi to find the area) = 113.04
Now we multiply the area of one circle with the height since it is a prism throughout the whole shape.
113.04 x 9 = 1,017.36 in^3 is your answer.
Step-by-step explanation:
Formula of area of a circle:
pi(3.14 or 22/7 depending on what they tell you to use for pi) x radius squared(your radius is half of your diameter or given radius, your radius should be squared in order to find the area).
πr^2
pi x radius^2(radius being squared)
Max earns $9.30 per hour does part time job how much money will max earn if he works 1,5,8,H hours also how many hours will he work to earn $180
Answers
Step-by-step explanation:
write a formula that models this.
9.30x = money earned
If he works 2 hours, he'll get $9.30 times (2)
and so on. so you write and solve
9.30(1), 9.30(5), 9.30(8)
for the second part you want to substitute 180 for the amount earned which will become
9.30x = 180 then you solve for x
The plant produces 1200 packages of grapes. An inspector randomly chooses 24 packages and discovers that 8 of the packages have broken seals. What is the probability the package has a broken seal?
Answers
Answer:
8
Step-by-step explanation:
Help plz I just need the answer
Answers
Answer:
x = 7
Step-by-step explanation:
help with these all no links- I MEAN IT! and no oh i just came for the points cr_ap brainlyest if correct
Answers
Answer:
#1
Least value = 5#2
Median = 56, option C#3
Median = 113, option C#4
A = 10, the minimum point#5
Q1 = 99.5, the median of the lower half of data, option CWhat value of coefficient b makes the equation true for any real number x?
3(2x - 3)+ 5 = bx +9
Answers
Answer:
x=58
Step-by-step explanation:
Classify the following polynomials by degree and number of terms.
1. 4p3 + 2p2 + 19p - 5
Answers
Given:
The polynomial is:
[tex]4p^3+2p^2+19p-5[/tex]
To find:
The degree and number of terms.
Solution:
Degree of a polynomial: It is the highest power of the variable.
Terms: Numbers, variables and product of them are called terms and they are separated by positive sign "+".
We have,
[tex]4p^3+2p^2+19p-5[/tex]
In this polynomial, the variable is p and its highest power is 3. So, the degree of this polynomial is 3.
The given polynomial can be written as:
[tex]4p^3+2p^2+19p+(-5)[/tex]
So, the terms in the given polynomial are [tex]4p^3,2p^2,19p,-5[/tex].
Therefore, the degree of the given polynomial is 3 and the number of terms is 4.
The classification by degree and number of terms of degree 3 and 4 terms
Degree of polynomialGiven the polynomial function 4p^3 + 2p^2 + 19p - 5, we are to classify the expression by degree and number of terms.
The highest power of the given polynomial is its degree. Hence the degree of the polynomial is 3Also, the given polynomial contains 4 terms.
In conclusion, the classification by degree and number of terms of degree 3 and 4 terms
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