Tran is using a coordinate plane to design a treasure hunt for his students. The hunt begins at the flagpole at the origin. The first clue is hidden 5 units north of the flagpole. The second clue is located 6 units east of the flagpole. The final clue is located 5 units south of the flagpole. Plot the locations of the flagpole and the 3 clues on the coordinate plane and show the path students will follow from the flagpole to all three clues. . Each unit represents 50 feet. What is the shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3?
Answers
Answer:
The shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3 is approximately 1,031.025 feet
Step-by-step explanation:
The given coordinates of the clues for the treasure hunt are
The location of the first clue = 5 units north of the flag pole
The coordinates is (0, 5)
The location of the second clue = 6 units east of the flag pole
The coordinates is (6, 0)
The location of the final clue = 5 units south of the flag pole
The coordinates is (0, -5)
The flagpole is at the origin
The coordinates of the flagpole is (0, 0)
Each unit on the graph = 50 feet
From the drawing of the treasure hunt created with Microsoft Excel, the shortest distances between the clues are as follows;
The shortest distance between 2 points is a straight line
Therefore
The shortest length from the flagpole to Clue 1 = 5 - 0 = 5 units
The actual distance from the flagpole to Clue 1 = 5 units × 50 feet/unit = 250 feet
The length from Clue 1 to Clue 2= √(6² + 5²) = √(61) units
The actual distance from Clue 1 to Clue 2 = √(61) units × 50 feet/unit = 50·√61 feet
By similarity, the actual distance from Clue 2 to Clue 3 = 50·√61
The combined shortest distance along the path from the flagpole to Clue 1 to Clue 2 and to Clue 3 = (250 + 50·√61 + 50·√61) feet ≈ 1,031.025 feet
Related Questions
classify the real numbers choose all that apply
Answers
irrational
31. What is the surface area of the pyramid to the nearest whole number?
A 25 cm
B 60 cm
C 30 cm2
D 85 cm2
Answers
Answer:
D. 85 cm2
Step-by-step explanation:
Cost of shopping trip: $25.00
Find tax amount at 5%
$30.00
$26.25
$1.25
$5.00
Answers
Answer:
$1.25
Step-by-step explanation:
Given: the cost of the shopping trip is $25.00
They want us to find the tax amount at 5%.
Saying that we need to find the 5% of the $25.00.
Convert 5% to 0.05, then take it times 25.
$25 x 0.05 = $1.25
That should give you the 5% of the $25.
If you add $25.00 and the $1.25 together, it should give you $26.25, included with the tax.
Answer:
26.25
Step-by-step explanation:
first we have to add 25.00 plus 5%
Janea bought a motorcycle for dollars. It depreciates by a factor of each year. Which expression best predicts the value of the car after 10 years?
Answers
Answer:
m·n¹⁰Step-by-step explanation:
Required equation is in the form of:
V(t) = P*r^t, V- future value, P- present value, r- rate, t- timeIn terms of this question:
m·n¹⁰ is the correct choiceif jeff has 20 apples and mike has 18 apples how many aplles do they both have combined.
Answers
Mía desea pintar una pared de su habitación. Ella no dispone de mucho tiempo al día, por lo que cada día pinta una parte de la pared. El lunes pintó ⅜ de la pared y el martes ⅛ de la pared. Si el miércoles pintó ¼ de la pared, ¿qué parte de la pared le falta pintar?
Answers
Four out of 25 people are left-handed. In a school of 400 people, how many would you expect to be
left-handed
Answers
Answer:
devide the 25 out of 400 and then devide what is left and then... u get the answer
Step-by-step explanation:
Answer:
64 would be left handed
Step-by-step explanation:
16 times 4 is 64
Fran's filing cabinet is 6ft in height, 1 1/3 ft wide, and 3ft long. She plans to paint all sides except the bottom of the cabinet. I have to Find the area of the sides she intends to paint.
Answers
Answer:
Area of the cabinet to be painted = 56 ft²
Step-by-step explanation:
The cabinet is shown in the diagram. To find the surface area of the cabinet we will find the surface area of the rectangular cuboid.
Surface Area= 2 lb+ 2hb + 2lh
where l = length , b= breadth and h= height.
From the figure we see that the area of the bottom is given by length * breadth so deducting this from the total surface area of the cuboid gives the surface of the cabinet.
Area of the cabinet to be painted= lb+ 2hb + 2lh
Putting the values we get
Area of the cabinet to be painted = lb+ 2hb + 2lh
= 3* 1 1/3 + 2( 6 * 1 1/3) + 2( 3* 6)
= 3* 4/3 + 2( 6 * 4/3) + 2( 3* 6)
= 4+ 2(8) +2(18)
= 4+16+ 36
56 ft²
This is the outside area of the cabinet which is found front,back, top and two sides that need to be painted.
Find the volume of a sphere with a radius of 2 meters. Round your answer to the nearest tenth.
m
Answers
Answer:
V≈33.51m³
Step-by-step explanation:
V=4
3πr3=4
3·π·23≈33.51032m³
Find NK..............
Answers
The required value of the NK in the given figure is NK = 12.
What is a chord?In geometry, a chord is a line segment that connects two points on the circumference of a circle. The two endpoints of the chord lie on the circle, and the chord divides the circle into two segments - the major segment and the minor segment.
Here,
From the figure,
Apply Pythagoras' theorem,
KL² = NL² + NK²
15² = 9² + NK²
NK = √144
NK = 12
Thus, the required value of the NK in the given figure is NK = 12.
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Help help help help help
Answers
Answer:
The answer is 4
Step-by-step explanation:
I NEED HELP PLEASE !
Answers
Answer:
x = 4, -2 1/2
Step-by-step explanation:
factors:
(2x + 5) (x - 4)
set each factor equal to zero:
2x + 5 = 0
2x = -5
x = -5/2
x - 4 = 0
x = 4
Which of the following measurements could be the side lengths of a right triangle?
Pythagorean theorem
A.
98in, 42in, 49in
B.
77in, 14in, 70in
C.
63in, 42in, 112in
D.
56in, 14in, 70in
square root
Answers
Answer:
none
Step-by-step explanation:
they don't add up to a right triangle.
How many ounces are in 38 pounds?
Answers
Answer: There are 608 ounces in 38 pounds.
Answer: 608
Step-by-step explanation:
ther are 16 ounces in 1 pound so 16 x 38=608
i checked with my teacher she said its right.
1. Solve for xº. 52°
can someone help me please
Answers
Answer:
x=38°
Step-by-step explanation:
x° and 52 make up a right angle, which is 90°, so for an equation you can do
x+52=90
subtract 52 on both sides and you get
x=38
So 52 + x = 90
x = 38
what is the value of x? 26 degrees tangent lines
Answers
Answer:
154°Step-by-step explanation:
The central angle and the angle between the tangents are supplementary, so
x + 26° = 180° ( subtract 26° from both sides )
26 - 26 = 0
180 - 26 = 154
x = 154°
The value of the x will be 154°.
How to find the interior central angle?The central angle and the angle between the tangents are supplementary.
If there is a circle O with tangent line L intersecting the circle at point A, then the radius OA is perpendicular to line L.
So,
x + 26° = 180°
Subtract 26° from both sides;
x + 26 - 26 = 180 - 26
x = 154°
Hence, the value of the x will be 154°.
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The school office bought 25 pounds of paper . One pound of paper contains 800 sheets of paper did the school buy ?
Answers
Answer:
I think 20,000 sheets of paper
Step-by-step explanation:
800 x 25 is 20,000
Answer:
The school has 20,000 sheets of paper.
Step-by-step explanation:
800 sheets in one pound
800X25=20,000
List the 3 things PLEASE ASAP
Answers
Answer:
it can be the altitude
median of ac
and the bisector of b
Step-by-step explanation:
Why is homework inportant?
Answers
Step-by-step explanation:
homework is like extra practice about what u had previously learned about that day
Mhanifa can you please help me? This is due asap! Look at the picture attached. I will mark brainliest!
Answers
Answer:
1. a = 16, b = 14
2. a = 16.5, b = 23.2
3. a = 7.25, b = 6.5
4. a = 8.4, b = 20
Step-by-step explanation:
Problem One:
2a + 6 = 3a - 10
6 = a - 10
16 = a
6b - 3 = 81
6b = 84
b = 14
Problem Two:
4a - 8 + 8a - 10 = 180
12a - 18 = 180
12a = 198
a = 16.5
8(16.5) - 10 = 5b + 6
122 = 5b + 6
116 = 5b
b = 23.2
Problem Three:
5b - 7 = 3b + 6
2b - 7 = 6
2b = 13
b = 6.5
2a = 3(6.5) - 5
2a = 14.5
a = 7.25
Problem Four:
3a + 1.8 = 4a - 6.6
1.8 = a - 6.6
8.4 = a
10(b + 8) = 10(1.4b)
10b + 80 = 14b
80 = 4b
20 = b
Answer:
Properties of a parallelogram
Opposite sides and angles are congruentDiagonals bisect each otherAdjacent interior angles are supplementary#13Opposite sides
2a + 6 = 3a - 10 ⇒ 3a - 2a = 6 + 10 ⇒ a = 166b - 3 = 5*16 + 1 ⇒ 6b = 81 + 3 ⇒ b = 84/6 ⇒ b = 14#14Opposite and adjacent angles
(4a - 8) + (8a - 10)= 180 ⇒ 12a= 180 + 18 ⇒ 12a= 198 ⇒ a= 16.5°5b + 6 = 8*16.5 - 10 ⇒ 5b = 122 - 6 ⇒ 5b = 116 ⇒ b = 116/5 ⇒ b = 23.2°#15Diagonals
5b - 7 = 3b + 6 ⇒ 5b - 3b = 6 + 7 ⇒ 2b = 13 ⇒ b = 6.52a = 3*6.5 - 5 ⇒ 2a = 14.5 ⇒ a = 7.25#16Opposite sides and alternate interior angles
1.4b = b + 8 ⇒ 0.4b = 8 ⇒ b = 8/0.4 ⇒ b = 203a + 1.8 = 4a - 6.6 ⇒ 4a - 3a = 1.8 + 6.6 ⇒ a = 8.4in a 5 day work week, matt puts 175 miles on his car. His wife, Sarah, puts 100 more miles on her car than he does in the amount of time. how many total miles will they put on there cars in 28 work days?
Answers
Answer: the is 1560
Step-by-step explanation:
5-day work week, Matt puts 175 miles on his car. His wife, Sarah, puts 100 more and 28 work days
Vani signed up for a streaming music service that costs $12 per month. The service allows Vani to listen to unlimited music, but if she wants to download songs for offline listening, the service charges $1.25 per song. How much total money would Vani have to pay in a month in which she downloaded 30 songs? How much would she have to pay if she downloaded s songs?
Answers
Answer:
49.5$
Step-by-step explanation:
first you need to multiply 1.25*30 which will give you 37.5 then from there add the monthly cost which is 12$ giving you the total of 49.5$
Help pls class is going to start soon
Answers
hey cutie pls help me thank u !!
f(x)= 2x-1
g(x)=3x
h(x)=x^2 + 1
Compute the following:
Find f(3)
Choose the best answer
A)9
B)5
C)10
Answers
what us 3×3+7×7 but I have to find the answer
Answers
Answer:
58
Step-by-step explanation:
3 * 3 is 9 + 7 * 7 is 49 so 9 + 49 equals 58
Answer:
58
Step-by-step explanation:
Following the Order of Operations, you'd put parenthesis around the two threes and the two sevens, making it (3*3)+(7*7) which equals 9 + 49 and results in the number 58.
A board game comes with the set of cards
shown below. Find each ratio in simplest form.
Answers
5:12
2:1
1:2
3:0
In Richmond, Chloe ordered $40 worth of sushi. She knew that when the bill came, she would need to pay Richmond sales tax for 5% and would want to leave a 20% tip on the original $40. including tax and tip, How much did Chloe meal cost?
Answers
Answer:
$50
Step-by-step explanation:
Given data
Cost of sushi= $40
Tax= 5%
Tip= 20%
Let us find the amount of the tax and the tip
Tax
=5/100*40
=0.05*40
=$2
Tip
=20/100*40
=0.2*40
=$8
Hence the total amount paid is
=40+2+8
=$50
Answer:
$50
Step-by-step explanation:
To avoid confusion, we can solve for the sales tax and the tip separately.
Tip
Original Bill x 20%Original Bill x 1/5$40 x 1/5$8Tax
Original Bill x 5%Original Bill x 1/20$40 x 1/20$2Total
Original Bill + Tip + Tax$40 + $8 + $2$50In AQRS, the measure of ZS=90°, the measure of ZQ=64°, and RS = 16 feet. Find the length of QR to the nearest tenth of a foot.
Answers
Answer:
17.8
Step-by-step explanation:
Using the SOH CAH TOA identity
Opposite = 16
Hypotenuse = QR = x
Angle of elevation = 64 degrees
Sin64 = opp/hyp
Sin 64 = 16/x
x = 16/sin64
x = 16/0.8898
x = 17.8
Hence QR is 17.8 to the nearest tenth of a foot
Which expression is equivalent to 4x-5+6(1-x)?
Answers
Answer:
I love Math anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
2x+1
Sophie has 7 cookies she wants to share equally with ten friends at her party. Part A If she separates all of the cookies and gives each friend an equal amount, how much cookie will each friend receive? Part B If Sophie wanted to give each friend 1 1/2 cookies, how many more cookies would she need?
Answers
Answer:
Each friend gets 0.7 cookie
8 cookies
Step-by-step explanation:
A.
Number of cookies = 7
Number of friends = 10
how much cookie will each friend receive?
Number of cookie each friend get = number of cookies / number of friends
= 7/10
= 0.7 cookie
Each friend gets 0.7 cookie
B.
If each friend 1 1/2 cookies
how many more cookies would she need?
Total number of cookies needed = 1 1/2 × 10
= 3/2 × 10
= 30/2
= 15 cookies
She already has 7 cookies
Number of cookies needed more = 15 cookies - 7 cookies
= 8 cookies
