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?
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
The americans with disabilities act sets a maximium angle for a wheelchair ramp entering a business at 4.76 degrees. Determine the horizontal distance needed to occomidate a ramp that goes up to a door.
Answer:
d = 48.03 feet
Step-by-step explanation:
Given that,
The maximum angle for a wheelchair ramp entering a business at 4.76 degrees.
We need to find the horizontal distance needed to accomidate a ramp that goes up to a door 4 feet of the ground.
We can solve it using trigonometry.
[tex]\tan\theta=\dfrac{h}{d}[/tex]
Where
h is height
d is the angle of elevation
[tex]d=\dfrac{h}{\tan\theta}\\\\d=\dfrac{4}{\tan(4.76)}\\\\d=48.03\ ft[/tex]
So, the horizontal distance is equal to 48.03 feet.
The height of a triangle is 6 m more than its base. The area of the triangle is 56 m². What is the length of the base?
Answer:
8
Step-by-step explanation:
x(x+6)/2=56
x^2(6x)=112
x^2(6x)-112=0
By trial and error, we can try base =1, height = 7, etc
base =8
height = 14
cuál es el perímetro de un círculo de diámetro de 13 centímetros
Answer: 132.665 hope it's right but I think it's right but i don't know
Step-by-step explanation:
John saved up enough money to buy a $20 can of shoe shine after paying for the $150 pair of Nikes. How much money did he save in all?
Answer:
170$
Step-by-step explanation:
150+20=170
Answer:
Step-by-step explanation:
170
GUYS PLEASE HELP!!A gardener plans to construct a triangular garden using logs for the edges. She has logs that measure
5 meters and 3 meters. Which of the following lengths could be used for the third side of the garden?
A 2 meters
B 6meters
C 8meters
D 9meters
Answer:
6 meters
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle is always greater than the length of the third side. And this MUST be true for all the combinations
The only length where this is true is 6
3+5 is greater than 6
2+6 is greater than 5
5+6 is greater than 3
Which two consecutive integers does -√138 lie between?
A:11 and 12
B:12 and 13
C:-11 and -12
D:-12 and -13
Answer:
C:-11 and -12
[tex] - \sqrt{138} \\ = - 11.747 \\ - 11 < x < - 12[/tex]
Find the area of a circle with radius 6yd.
Use the value 3.14 for and do not round your answer.
Be sure to include the correct unit in your answer.
Answer:
X30
Step-by-step explanation:
Alice found the area of the figure by breaking apart it apart where the dashed line is drawn. Her work is shown below. area of rectangle = bh = 6(2) = 12 mm2 area of triangle = bh = 2(2) = 4 mm2 area of figure = 12 + 4 = 16 mm2 A figure can be broken into a rectangle and triangle. The rectangle has a base of 6 millimeters and height of 2 millimeters. The triangle has a base of 2 millimeters an height of 2 millimeters. What error did Alice make? She didn’t use the correct formula for area of a triangle. She didn’t use the correct formula for area of a rectangle. She didn’t find the height of the triangle correctly. She didn’t add the areas of the triangle and rectangle correctly.
Answer:
She didn’t use the correct formula for area of a triangle.
Step-by-step explanation:
edg 2021 Sorry for the late answer.
A second linear function, y = mx + 4, has the same slope as the
function in the table. What is the value of m?
Answer:
Step-by-step explanation:
What is the area of the trapezoid below
Answer:
[tex]Area: 29 cm^{2}[/tex]
Step-by-step explanation:
[tex]Aear=(8.5+6)(\frac{4}{5} )[/tex]
[tex]Area=14.5 (2)[/tex]
[tex]Area=29[/tex]
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hope it helps...
have a great day!!
Anyone know how to do this?
Answer:
60.22in^2.
Step-by-step explanation:
First, find the area of the rectangle. 14.1x7=98.7.
Then, we need to find the area of the circle and subtract it from the area of the rectangle.
The area of the circle is pi*r^2. so, pi*3.5^2 is about 38.48. (The radius is half of the diameter, so the radius would be 3.5).
Since there are two halves of the circle, we can just subtract 38.48 from 98.7 so get the area of the shaded region. So, the area of the yellow area is 60.22in^2.
Find rectangle area: 14.1 x 7 = 98.7
Find areas of semicircles: a = 3.14(3.5)^2 = 76.96
Subtract area of semicircles: 98.7 - 76.96 = 21.74
choose the correct vertical asymptote(s).
Glven the function, f(x) =
x+1
X-4
O x= -4, x= 4
O x= 4
O x= -2, x = 2
O x= 2
Write the equation of the line, with the given properties, in slope-intercept form.
Slope = -7, through (-5,5)
What is the equation of the line?
Answer:
y=-7x-30
Step-by-step explanation:
y-y1=m(x-x1)
y-5=-7(x-(-5))
y-5=-7(x+5)
y=-7x-35+5
y=-7x-30
Kaylee read 19 1/2 pages in 3/4 of an hour. If she continues reading at the same rate,
how many pages will she read in an hour?
Answer: The answer is 26.
Step-by-step explanation:
Simple, find the unit rate. That's 19.5 / 0.75 = 26.
or using fractions:
19 2/4 divided by 3/4
78/4 divided by 3/4
78 / 3 = 26
4 / 4 = 1
Unit rate = 26books/1 hour
Which of these expressions would be the best estimate of the quotient 15 1/2 ÷ 3 2/3?
A. 15÷3
B. 15÷4
C. 16÷3
D. 16÷4
Answer:
D
Step-by-step explanation:
Because 15 1/2 ÷ 3 2/3 equals 4.22727272727 and 15 divided by 3 is 5, 15 divided b 4 = 3.75 16 divided by 3 is 5.33333333333 and 16 divided by 4 equals 4 so thats the closest answer
Hope this helps
how is 0.6 is greater than the value of 0.39
Here is some more
Find the value of x: 3x−7=8x+23
Answer: x=6
Step-by-step explanation:
Answer:
x = -6
Step-by-step explanation:
Subtract 3x from both sides to get -7=5x+23.
Subtract 23 from both sides to get -30=5x.
Divide 5 from both sides.
x = -6.
Manuel earns $7.25 per hour helping his neighbor. Last month he earned $348. Choose the correct equation and solution which determines the number of hours, h, Manuel worked.
Answer:
7.25h=348
Step-by-step explanation:
Nic sells advertising packages for a radio station. The company pays him $150 per week and they also pay him $75 for every package he sells. His friend Asia works for the same radio station but she receives a salary only, which is $1,275 per week. How many packages does Nic need to sell in a week to earn as much as Asia?
Answers are:
A) 14
B) 15
C)16
D)20
help please i don’t get it
plzz help if right i give brainliest
Answer:
b. (x+6)(x-6)
Step-by-step explanation:
x^2-36 So to get to this answer you can do two things
1. Guess and check
2. Factor it out (which is what I like to do)
In order to get x^2 you need 2xs that are positive which knocks out c and d
Then to get to -36, you need to multiply a positive 6 and a negative 6
(This was poorly explained but if you need anymore help just lmk)
NEED ASAP
a board that is 3 yards long is to be cut into 4/5 equal-size pieces. how many whole pieces can be cut?
Answer:
Only 3 boards can be cut if they are whole
Hey, so I REALLY want to rank up and I just need 2 more "Brainliests" so if you like my answer, can you please give me a Brainliest? If not, that's okay! Thank you so much!
find the area of the composite shape
Answer:
96 m²
Step-by-step explanation:
To calculate the area of a composite shape, you must divide the shape into rectangles, triangles, or other shapes.
A = l × w
L = length
W = width
Find the area and then add the areas back together.
12m × 8m
= 96 m²
The area of the composite shape is 96 m²
Joshua lives 8 miles directly south of the school. Mark lives 6 miles directly west of the school. What is the shortest distance between Mark's house and Joshua's house?
Answer:
10 miles
Step-by-step explanation:
what is 4+9+8+6+5+44+88+90+78
Step-by-step explanation:
4+9+8+6+5+44+88+90+78= 332
Help me please !!!!!!
Answer:
The y-int represents the base price of $200 for airfare from NYC
The slope represents a cost of 30 cents per mile traveled
If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y=50+0.30x
If the cost per mile changed to 50 cents, the new equation would be y=200+0.50x
what is this help me out pls
Answer:
That would be -2n - 1.
Answer:
-2n - 1
Step-by-step explanation:
You have to combine like term which would be 4n,n,and 7n.
Since n doesn't have a variable just add a one in front. So now the equation would be
1n+4n-7n That equation equals -2n
Now just add the remaining number
So that makes the answer -2n -1
Thandi received 15% discount on a dress that costs R1500. How much did she
pay?
Answer:
She paid $1,275.00.
Step-by-step explanation:
I'm assuming you meant $1,500, so I'll be using that.
You can figure this out by subtracting 15% of 1,500 from 1,500.
15% of 1,500 is 225.
1500-225=1275
Therefore, 15% off of $1,500 is $1,275.
Aiden borrows a book from a public library. He read a few pages on day one. On day two, he reads twice the number of pages than he read on day one. On the third day, he reads six pages less than he reads on the first day. If he has read the entire book that contains 458 pages, how many pages did he read on day three?
Answer:
.
Step-by-step explanation: