Final answer:
To find the product, multiply 400 by 9.460730473, then multiply the result by 2/3.
Explanation:
To find the product of 400 and 9.460730473 times 10/15, we need to multiply the three numbers together. First, let's simplify 10/15 to 2/3. Then, multiply 400 by 9.460730473 to get the product. Finally, multiply the result by 2/3 to find the final answer.
400 x 9.460730473 = 3784.2921892
3784.2921892 x 2/3 = 2522.8614595
The product of 400, 9.460730473, and 10/15 is approximately 2522.8614595.
Does (-3,5 make the equation y=X+-2 true
Answer:
No.
Step-by-step explanation:
x+(-2)=-3+(-2)=-3-2=-5, not 5.
Mo’s farm stand sold a total of 165 pounds of apples and peaches. She sold apples for $1.75 per pound and peaches for $2.50 per pound. If she made $337.50, how many pounds of peaches did she sell?
Answer:
Step-by-step explanation:
a + p = 165......a = 165 - p
1.75a + 2.5p = 337.50
1.75(165 - p) + 2.5p = 337.50
288.75 - 1.75p + 2.5p = 337.50
-1.75p + 2.5p = 337.50 - 288.75
0.75p = 48.75
p = 48.75 / 0.75
p = 65 <==== 65 lbs of peaches were sold
a + p = 165
a + 65 = 165
a = 165 - 65
a = 100 <=== there were 100 lbs of apples sold
check...
1.75a + 2.5b = 337.50
1.75(100) + 2.5(65) = 337.50
175 + 162.50 = 337.50
337.50 = 337.50 (correct)
PLEASE HELP WILL GIVE BRAINLIEST! One fifth of the student a Riverview Elementary walk to school each day. There are 350 students in the school. How many students walk to school?
A.) 50
B.) 100
C.) 270
D.) 150
E.) 70
The right answer is Option E.
Step-by-step explanation:
Given,
Total number of students in school = 350
Students who walk to school = [tex]\frac{1}{5}\ of\ total\ students[/tex]
Number of students who walk to school = [tex]\frac{1}{5}*350[/tex]
Number of students who walk to school = 70
70 students walk to the school.
The right answer is Option E.
Keywords: fraction, division
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Final answer:
The calculation shows that 70 students at Riverview Elementary walk to school.
Explanation:
The question is asking us to calculate what fraction of the total number of students at Riverview Elementary walk to school each day.
Since one fifth of the students walk to school, we need to divide the total number of students by 5 to find the number of students who walk to school.
To find one fifth of 350 students, we calculate:
350 ÷ 5 = 70
Therefore, 70 students walk to school each day at Riverview Elementary.
PLEASE HELP ITS URGENT!!
Given: △ABC is isosceles; 1 ≅ 3
Prove: AB || CD
Answer:
AB ║ CD. (Proved)
Step-by-step explanation:
See the attached diagram of the triangle.
It is given that Δ ACD is an isosceles triangle.
Therefore, AC = AD and ∠ ACD = ∠ ADC, ⇒ ∠ 3 = ∠ 4 .......... (1)
Again, given that ∠ 1 = ∠ 3 ........... (2)
Now, from equations (1) and (2) we can write, ∠ 1 = ∠ 4
Now, AB and CD are two straight lines and AD is the transverse line and hence, ∠ 1 and ∠ 4 are alternate angles that are equal.
Therefore, AB and CD are parallel straight lines and AB ║ CD. (Proved)
d/5=4 A. d=20 B. d= 4/5 C. d=5/4
Answer:
The value of A = [tex]\dfrac{1}{16}[/tex]
The value of B = [tex]\dfrac{1}{16}[/tex]
The value of C = [tex]\dfrac{25}{16}[/tex]
The value of D = [tex]\dfrac{5}{4}[/tex]
Step-by-step explanation:
Given as :
The following relations are as
[tex]\dfrac{d}{5}[/tex] =4 A ...........1
d = 20 B ...........2
d = [tex]\dfrac{4}{5}[/tex] C ...........3
And d = [tex]\dfrac{5}{4}[/tex]
Now, From the above relations
Put the value of d in eq 1
∵ 4 A = [tex]\dfrac{d}{5}[/tex]
So, d = 5 × 4 A
Or, [tex]\dfrac{5}{4}[/tex] = 20 A
∴ A = [tex]\frac{\frac{5}{4}}{20}[/tex] = [tex]\dfrac{1}{16}[/tex]
I.e The value of A = [tex]\dfrac{1}{16}[/tex]
Again
From eq 2
∵ d = 20 B
Put the value of d
So, [tex]\dfrac{5}{4}[/tex] = 20 B
Or, B = [tex]\frac{\frac{5}{4}}{20}[/tex]
∴ B = [tex]\dfrac{1}{16}[/tex]
I.e The value of B = [tex]\dfrac{1}{16}[/tex]
Similarly
From eq 3
d = [tex]\dfrac{4}{5}[/tex] C
Put the value of d
So, [tex]\dfrac{5}{4}[/tex] = [tex]\dfrac{4}{5}[/tex] C
Or, C = [tex]\frac{5\times 5}{4\times 4}[/tex]
∴ C = [tex]\dfrac{25}{16}[/tex]
I.e The value of C = [tex]\dfrac{25}{16}[/tex]
Hence The value are
The value of A = [tex]\dfrac{1}{16}[/tex]
The value of B = [tex]\dfrac{1}{16}[/tex]
The value of C = [tex]\dfrac{25}{16}[/tex]
The value of D = [tex]\dfrac{5}{4}[/tex]
Answer
Simplify: 6(3 + 5)
48
65
47
15
Answer:
48
Step-by-step explanation:
Step #1, Use PEMDAS,(Purple,Eyed,Monster,Drinks,A,Soda
Step #2, Add (3+5)
(8)
Step #3, Multiply 8×6
Step #4, No You
Answer:
48
Step-by-step explanation:
Celia uses 4 ounces of yogurt for each smoothie she makes.she makes.she has 1 quart of yogurt.how many smoothies can she make with the yogurt? explain your thinking
You can use the fact that 1 quart is equal to 32 ounces.
Next, you can use the division fact, 32 divided by 4 equals 8.
And so, Celia can make 8 smoothies.
Last year 225 students attended the annual school dance at CCMS. This year 211 students attended the dance. Find the percent of decrease.
Answer:
17.25%.
Step-by-step explanation:
We have been given that last ear 225 students attended the annual school dance at CCMS. This year 211 students attended the dance. We are asked to find the percent of decrease.
We will use percent decrease formula to solve our given problem as:
[tex]\text{Percent decrease}=\frac{|\text{Final - Original}|}{\text{Original}}\times 100\%[/tex]
[tex]\text{Percent decrease}=\frac{|211-255|}{255}\times 100\%[/tex]
[tex]\text{Percent decrease}=\frac{|-44|}{255}\times 100\%[/tex]
[tex]\text{Percent decrease}=\frac{44}{255}\times 100\%[/tex]
[tex]\text{Percent decrease}=0.1725490\times 100\%[/tex]
[tex]\text{Percent decrease}=17.25490\%[/tex]
[tex]\text{Percent decrease}\approx 17.25\%[/tex]
Therefore, percent decrease is approximately 17.25%.
Two parallel lines are crossed by a transversal. Parallel lines r and s are cut by transversal q. On line s where it intersects with line q, the uppercase left angle is 125 degrees and the bottom right angle is d degrees. What is the value of d? d = 55 d = 75 d = 125 d = 155
Answer:
d=125
Step-by-step explanation
edge 2020
The value of d, which is the bottom right angle formed on line s when cut by transversal q, is 125 degrees due to the alternate exterior angles being congruent on parallel lines.
Explanation:When two parallel lines are crossed by a transversal, certain angles are equal due to the properties of parallel lines. The upper left angle on line s when intersected with the transversal q is given as 125 degrees; this is the alternate exterior angle relative to the bottom right angle formed on line s also intersected by q, which is known as d degrees in the question.
According to the alternate exterior angles theorem, these two angles are equal because the lines r and s are parallel. Therefore, the bottom right angle on line s, or d degrees, is also 125 degrees, because alternate exterior angles are congruent when two parallel lines are cut by a transversal.
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Mr. Martin and his son are planning a fishing trip to Alaska. The rates of two companies are shown.
Wild Fishing Inc.
Round Trip Flight $200 / Daily Rate $25
Fisherman's Service
Round Trip Flight $150 / Daily Rate $30
Part A : Which company offers a better deal for a three day trip for Mr. Martin and his son? What will be the cost?
Part B : Which company would charge $700 for 6 days for both of them?
Part C : Write an expression to represent the cost of the trip for Mr. Martin and his son for each company.
Answer:
Part A) Fisherman's Service will provide a better deal for a three days trip as it will cost $480 compare to the Wild Fishing Inc.'s deal that costs around 550$
Part B) Wild Fishing's Inc. would charge $700 for 6 days for both of them.
Part C) Let w be expression for Wild Fishing Inc. to represent the cost of the trip for both Mr. Martin and his son for n number of days trip.
w = 2(200) + 2n(25) = 400 + 50n
Let f be expression for Fisherman's Service to represent the cost of the trip for both Mr. Martin and his son for n number of days trip.
f = 2(150) + 2n(30) = 300 + 60n
Step-by-step explanation:
Part (A) Which company offers a better deal for a three day trip for Mr. Martin and his son? What will be the cost?
The rate offered by Wild Fishing Inc:Round Trip Flight $200 / Daily Rate $25
The rate offered by Fisherman's Service:Round Trip Flight $150 / Daily Rate $30
Analyzing Wild Fishing Inc. Offer for a three day trip
As Mr. Martin and his son are planning a fishing trip to Alaska.Expenses cost for Mr. Martin and his son if they chose Wild Fishing Inc
The formula to calculate Mr Martin expenses for 3 day trip:
Round trip Cost + 3 (Daily rate) ⇒ 200 + 3 (25) = $275.......[A]
The formula to calculate Mr Martin's son expenses for 3 day trip:
Round trip Cost + 3 (Daily rate) ⇒ 200 + 3 (25) = $275.......[B]
Adding Equation [A] and [B] will bring the net expense faced by Mr. Martin and his son if they chose to get Wild Fishing Inc. deal:
Net expense faced by Mr. Martin and his son: 275 + 275 = 550$
So, Wild Fishing Inc. will cost 550$ to both Mr. Martin and his son.
Analyzing Fisherman's Service Offer for a three day trip
As Mr. Martin and his son are planning a fishing trip to Alaska.
Expenses cost for Mr. Martin and his son if they chose Fisherman's Service
The formula to calculate Mr Martin expenses for 3 day trip:
Round trip Cost + 3 (Daily rate) ⇒ 150 + 3 (30) = $240.......[A]
The formula to calculate Mr Martin's son expenses for 3 day trip:
Round trip Cost + 3 (Daily rate) ⇒ 150 + 3 (30) = $240.......[B]
Adding Equation [A] and [B] will bring the net expense faced by Mr. Martin and his son if they chose to get Fisherman's Service deal:
Net expense faced by Mr. Martin and his son: 240 + 240 = 480$
So, Fisherman's Service will cost 480$ to both Mr. Martin and his son.
Choosing the right company that offers a better 3 days deal:
As we have determined that
Wild Fishing Inc. will cost 550$ to both Mr. Martin and his son.Fisherman's Service will cost 480$ to both Mr. Martin and his son.Therefore, Fisherman's Service will provide a better deal for a three days trip as it will cost $480 compare to the Wild Fishing Inc.'s deal that costs around 550$.
Part (B) Which company would charge $700 for 6 days for both of them?
Checking Wild Fishing Inc. expenses for 6 days trip:
The formula to calculate Mr Martin expenses for 6 day trip:
Round trip Cost + 6 (Daily rate) ⇒ 200 + 6 (25) = $350.......[A]
The formula to calculate Mr Martin's son expenses for 3 day trip:
Round trip Cost + 6 (Daily rate) ⇒ 200 + 6 (25) = $350.......[B]
Adding Equation [A] and [B] will bring the net expense faced by Mr. Martin and his son if they chose to get Wild Fishing Inc. deal for 6 days:
Net expense faced by Mr. Martin and his son: $350 + $350 = 700$
Checking Fisherman's expenses for 6 days trip:
The formula to calculate Mr Martin expenses for 6 day trip:
Round trip Cost + 6 (Daily rate) ⇒ 150 + 6 (30) = $330.......[A]
The formula to calculate Mr Martin's son expenses for 3 day trip:
Round trip Cost + 6 (Daily rate) ⇒ 150 + 6 (30) = $330.......[B]
Adding Equation [A] and [B] will bring the net expense faced by Mr. Martin and his son if they chose to get Fisherman's Service deal for 6 days:
Net expense faced by Mr. Martin and his son: $330 + $330 = 680$
So, Wild Fishing's Inc. would charge $700 for 6 days for both of them.
Part (C) Write an expression to represent the cost of the trip for Mr. Martin and his son for each company.
Expression for Wild Inc.
Let w be expression for Wild Fishing Inc. to represent the cost of the trip for both Mr. Martin and his son for n number of days trip.
w = 2 (Round trip Cost) + 2n (Daily rate)
As Round trip costs $200 and $25 is the daily rate for Wild Fishing Inc.
So, w can be written as:
w = 2(200) + 2n(25) = 400 + 50n
Expression for Wild Inc.
Let f be expression for Fisherman's Service to represent the cost of the trip for both Mr. Martin and his son for n number of days trip.
f = 2 (Round trip Cost) + 2n (Daily rate)
As Round trip costs $150 and $30 is the daily rate for Fisherma''s Service.
So, w can be written as:
f = 2(150) + 2n(30) = 300 + 60n
Keywords: cost, expenses, deal
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Which values of a, b , and c correctly represent the answer in the simplest form?
Answer:
a=1 b=5 c=9
Step-by-step explanation:
Answer: answer is A
Step-by-step explanation:
The graphs of y=x2- 3 and y = 3x -4 intersect at
approximately
1) (0.38,-2.85), only
2) (2.62,3.85), only
3) (0.38, -2.85) and (2.62,3.85)
4) (0.38, -2.85) and (3.85,2.62)
Answer:
Option 3) (0.38, -2.85) and (2.62,3.85)
Step-by-step explanation:
we have
[tex]y=x^{2}-3[/tex] ----> equation A
[tex]y=3x-4[/tex] ----> equation B
Solve the system by graphing
Remember that the solution of the system of equations is the intersection point both graphs
using a graphing tool
The intersection points are (0.38,-2.85) and (2.62,3.85)
see the attached figure
therefore
The graphs intersect approximately at (0.38,-2.85) and (2.62,3.85)
Matthew earned $75 in interest on
his savings account in one year.
The bank paid a simple interest
rate of 5%. What was the initial
amount of money Matthew put
into his savings account?
Answer:
Step-by-step explanation:
The formula for simple interest is
I = Prt,
where I is the interest earned,
P is the initial investment amount,
r is the interest rate in decimal form, and
t is the time in years. For us,
I = 75,
P = ?
r = .05
t = 1
Filling in what we were given:
75 = P(.05)(1) and
.05P = 75 so
P = 1500
In a square or rectangle. How do you find the distance from the top left corner to the bottom right corner diagonally
Answer:
You use the Pythagorean theorem.
Step-by-step explanation:
https://math.stackexchange.com/questions/33549/calculating-the-distance-from-top-left-corner-to-bottom-right-corner-on-a-rectan
HELP HELP I DONT UNDERSTAND THIS
Answer:
1) angle bisector
2) w = 72°
3) t = 44°
4) t = 51°
5) FG = 16 units
Step-by-step explanation:
1) Given that, ∠VYW ≅ ∠WYV
The line which cuts any angle into equal halves is angular bisector of the angle
⇒ YW is angle bisector
2) In a triangle, sum of two interior angle is equal to exterior angle of other side.
⇒ w-41° + w-31° = w.
⇒ w = 72°
3) Sum of interior angles in a pentagon is 540°
(For a n sided it is (n-2)180° )
⇒ 149° + 139° + t+32° + 3t +t = 540°
⇒ t = 44°
4) sum of all exterior angles taken one at each vertex = 360°
⇒ 2t-50° + 46° + 2t + 34° + 2t-50° + 34° + 40° = 360°
⇒ t = 51°
5) Here, by comparing ΔHGF and ΔHIF
∠GHF = ∠IHF
∠HGF = ∠HIF
and HF is common side for both triangles
⇒ ΔHGF ≡ ΔHIF ; i.e) ΔHGF , ΔHIF are congruent triangles
⇒ FG = FI = 16 units
Which equation can be solved to find one of the missing side lengths in the triangle?
60
12 units
O cos(609) = 12
O cos(600) =
O COS(60°) = 6
Answer:
[tex]cos(60^o)=\frac{a}{12}[/tex]
Step-by-step explanation:
The complete question in the attached figure
we know that
In the right triangle of the figure
The cosine of the angle of 60 degrees is equal to divide the adjacent side to the angle of 60 degrees (BC) by the hypotenuse (AB)
so
[tex]cos(60^o)=\frac{BC}{AB}[/tex]
we have
[tex]BC=a\ units\\AB=12\ units[/tex]
substitute the values
[tex]cos(60^o)=\frac{a}{12}[/tex]
The correct equation that represents the side length is Cos 60 = a/12
Trigonometry identityFrom the triangle given, we have the following
Adjacent = aHypotenuse = 12Using the soh cah toa identity
Cos theta = adj/hyp
Cos 60 = a/12
Hence the correct equation that represents the side length is Cos 60 = a/12
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I have a 100 question study guide it is worht 20 points in total how many points is it
Answer:
2000 points
Step-by-step explanation:
Given:
Number of questions in a study guide (Q) = 100
Number of points for 1 question (n) = 20
Now, total number of points is calculated using unitary method by multiplying number of questions and number of points in one question.
Therefore, the total number of points is given as:
Total points = [tex]n\times Q[/tex]
Total points = [tex]20\times 100[/tex]
Total points = [tex]2000[/tex]
Hence, the study guide is worth 2000 points.
Answer:
10
Step-by-step explanation:
what percent of 108 is 81?
Answer: 133.33
Just do 108/81x100 to get 133.33
Hope this helps!
Answer:
75%
Step-by-step explanation:
(04.01 LC)
Marneshia walked of a mile in of an hour. What equation can be used to calculate her unit rate in miles per hour? (1 point)
Question 2 options:
1)
= mile per hour
2)
= miles per hour
3)
= miles per hour
4)
= mile per hou
The answer is 1 mile an hour
Mathematics MH helpo
The inequalities that require flipping the sign are:
-5x - 10 > 5
[tex]\frac{x}{-7} + 3 \leq 4[/tex]
Solution:
Let us the inequalities one by one
You can perform on operations on both sides of inequality, and have its truth value unchanged
But if we multiply or divide by a negative number , we must flip the sign
option 1)-5x - 10 > 5
Move -10 from L.H.S to R.H.S
-5x > 5 + 10
-5x > 15
Divide the above expression by 5
[tex]-x > 3[/tex]
Divide the above inequality by -1, so we must flip the sign
x < -3
option 2)[tex]7x - 5 \leq 16[/tex]
Move the constant term from L.H.S to R.H.S
[tex]7x \leq 16 + 5\\\\7x \leq 21\\\\[/tex]
Divide the above inequality by 7
[tex]x \leq 3[/tex]
This does not required flipping the symbol
option 3[tex]\frac{x}{5} - 6 > -11[/tex]
Move the constant term from L.H.S to R.H.S
[tex]\frac{x}{5} > -11 + 6\\\\\frac{x}{5} > -5[/tex]
Multiply both the sides by 5
[tex]x > -25[/tex]
This does not required flipping the symbol
option 4[tex]x + 12 \leq 29[/tex]
Move the constant term from L.H.S to R.H.S
[tex]x \leq 29 - 12\\\\x \leq 17[/tex]
This does not required flipping the symbol
option 5[tex]\frac{x}{-7} + 3 \leq 4[/tex]
Move the constant term from L.H.S to R.H.S
[tex]\frac{x}{-7} \leq 4-3\\\\\frac{x}{-7} \leq 1\\\\[/tex]
Multiply both the sides by -7, so we must flip the sign
[tex]x \geq -7[/tex]
Thus this requires flipping the sign
Answer: -5x - 10 > 5
Step-by-step explanation:
Complete the steps in order to write the inverse of f(x) = x + 5
Answer:
[tex]f^{-1}[/tex](x) = x - 5
Step-by-step explanation:
Let y = f(x) and make x the subject
y = x + 5 ( subtract 5 from both sides )
y - 5 = x
Change y back into terms of x, thus
[tex]f^{-1}[/tex](x) = x - 5
6. 40 adults and 26 kids went to
see a movie for $486.70. At the
same price, another group of 20
1 adults and 31 kids went to see
the same move for $332.45.
How much was an adult ticket
and how much was a kid ticket?
The cost of adult and kid tickets, we set up two equations representing the total cost for separate groups and use the elimination method to solve the system of linear equations. Once we solve for one ticket type, we can use its value to find the cost of the other ticket type.
The problem presented is a system of linear equations where we have two unknowns: the cost of an adult ticket and the cost of a kid ticket. We can set up the two equations based on the given information:
40A + 26K = 486.70 (First group's total cost)
21A + 31K = 332.45 (Second group's total cost)
To solve this system, we can use either substitution or elimination methods. For simplification, let's use the elimination method:
Multiply the second equation by 2: (2 x 21A) + (2 x 31K) = 2 x 332.45, which gives us 42A + 62K = 664.90.
Now subtract the first equation from this new equation: (42A + 62K) - (40A + 26K) = 664.90 - 486.70, resulting in 2A + 36K = 178.20.
Divide the entire equation by 2: A + 18K = 89.10.
We now have an easier equation to work with along with our original first equation.
To find the value of one variable, we could substitute the value of A from the first equation (using the second simplified equation) into the second equation and solve for K.
Once we have the value of K, we can substitute it back into either original equation to solve for A.
These steps will give us the exact cost of an adult ticket (A) and a kid ticket (K).
A recipe uses 1 1/4 cups of oil to make 20 servings. If the same amount of oil is used for each serving, how many servings can be Made with one gallon of oil ?
Answer:
Step-by-step explanation:
1 1/4 (or 1.25) cups to 20 servings = 1 gallon (16 cups) to x servings
1.25 16
--------- = -------- cross multiply
20 x
(1.25)(x) = (20)(16)
1.25x = 320
x = 320/1.25
x = 256 servings <===
what is the volume of a square pyramid with base edges 24ft and slant height 20ft
The volume of the square pyramid is: 3072 ft³
What is the volume of the square pyramid?
The volume (V) of a square pyramid can be calculated using the formula:
V = ⅓ × base area × height
The base area of a square pyramid is given by the formula:
base area = base edge²
Given that the base edges (a) is 24 ft and the slant height (s) is 20 ft, we can calculate the height (h) of the pyramid using the Pythagorean theorem.
h = √(20² - (24/2)²)
h = √256
h = 16 ft
Thus:
Volume = ⅓ * 256 * 16
Volume = 3072 ft³
Find the value ox X:
A 20
B 18
C 15
D 11
Answer:
x =15°
Step-by-step explanation:
Given that the horizontal line is 90° to the vertical line, then both the angles have to necessarily add up to 90° i.e
(5x-10)° + 25° = 90°
5x - 10 + 25 = 90
5x + 15 = 90 (subtract 15 from both sides)
5x = 90 - 15
5x = 75 (divide both sides by 5)
x = 75 / 5 = 15°
PLEASE HELP WITH THIS QUESTION
Answer:
angle bisector
Step-by-step explanation:
Definitions:
median: line that meets the middle of VX
angle bisector: line that cuts angle Y in half
altitude: line that meets VX at 90°
perpendicular bisector: line that meets VX at 90° and the middle of VX
YW does not meet VX at 90° and does not meet it in the middle. Without measurements or symbols, angle Y seems to be cut in half.
soledads regular pay rate is $7.50 per hour. If she works more than 40 hours in one week, she receives 1.5 times
her regular pay rate for each additional hour. How many hours would Soledad have to work in one week to earn a
total of $345?
43
45
46
44
Answer:
44
Step-by-step explanation:
pay for 40 hours: 7.50 * 40= 300
pay for 1 hour of overtime pay: 1.5 * 7.5= 11.25 per hour
11.25 * 4= 45
45 + 300= 345
40 + 4= 44
You start driving north for 11 miles, turn right, and drive east for another 60 miles.
How many miles must you travel to return directly back to your starting point?
Answer:
61 miles.
Step-by-step explanation:
Given: driving north for 11 miles and drive east for another 60 miles.
As given in the question, the travelling pattern show a right angle triangle, where hypotenuse line is the way to return back directly to starting point. As shown in picture attached.
∴ we can say, adjacent (a) is 11 miles and opposite (b) is 60 miles
Now, using Pythagoras theorem to get distance to return.
[tex]h^{2} = a^{2} +b^{2}[/tex]
⇒ [tex]h^{2} = 11^{2} +60^{2}[/tex]
⇒ [tex]h^{2} = 121+3600= 3721[/tex]
⇒ [tex]h= \sqrt{3721}[/tex]
∴[tex]h= 61[/tex]
∴ 61 miles need to be travel to return back directly to starting point.
50 PINTS！！！！！！！！ PLEASE HELP QUICK!!!!!!!!!!! What is the slope of the line shown in the graph? (4 points) A coordinate plane is shown with points graphed at 2 comma 2 and 0 comma 1. The points are joined by a line. −2 −1 −1 over 2 1 over 2
We are given, [tex]P_1(x_1,y_1)[/tex] and [tex]P_2(x_2,y_2)[/tex] where [tex]P_1(2,2),P_2(0,1)[/tex].
Using slope formula we obtain
[tex]m=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-2}{0-2}=\dfrac{-1}{-2}=\boxed{\dfrac{1}{2}}[/tex]
Hope this helps.
Answer:
1/2
Step-by-step explanation:
I took the test :)
6. (08.02 MC)
Cylinder A has a radius of 7 inches and a height of 5 inches. Cylinder B has a volume of 490n. What is the percent change in volume between cylinders A and b
Answer:
The percentage change in volume between cylinder A and cylinder B is 50%
Step-by-step explanation:
The volume of a cylinder is given by the formula
V= πr^2h
For cylinder A, where r=7 and h= 5, π=22/7
V= π * 7^2 * 5
V= π * 49 * 5
V= 769.69 cubic inch
For cylinder B
V= 490π
V= 1539.3804 cubic inch
The percentage change in volume between cylinder A and cylinder B
=[ (VA- VB)/VB] *100
=( 1539.3804 - 769.69) / 1539.3804
= 0.5000 * 100
= 50%
The percentage change in the volume between cylinder A and cylinder B is 50%
What is a cylinder?
A cylinder is a three-dimensional object. It is a prism with a circular base.
volume of a cylinder = πr²h
π= 22/7
r = radius
h = height
Volume of cylinder A = π(7² x 5) = 245π
Percentage change in volume = (245 / 490) - 1 = 50%
To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219
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