A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marina traced the map onto a coordinate plane to find the exact location of the treasure. X = (StartFraction m Over m n EndFraction) (x 2 minus x 1) x 1 y = (StartFraction m Over m n EndFraction) (y 2 minus y 1) y 1 What are the coordinates of the treasure? If necessary, round the coordinates to the nearest tenth. (11. 4, 14. 2) (7. 6, 8. 8) (5. 7, 7. 5) (10. 2, 12. 6).
Answers
The location of the treasure on the treasure map is (b) (7.6,8.8)
The ratio is given as:
[tex]m : n = 5 : 9[/tex]
The coordinates of the rock and the tree are:
[tex]Rock =(3,2)[/tex]
[tex]Tree = (16,21)[/tex]
The x and y coordinates of the location of the treasure are:
[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]
So, we have:
[tex](x,y) = (\frac{5 \times 16 + 9 \times 3}{5 + 9},\frac{5 \times 21 + 9 \times 2}{5 + 9})[/tex]
[tex](x,y) = (\frac{107}{14},\frac{123}{14})[/tex]
[tex](x,y) = (7.6,8.8)[/tex]
Hence, the location of the treasure is (b) (7.6,8.8)
Read more about line segment ratios at:
https://brainly.com/question/14382744
Related Questions
Let f(x) = x2 − 1 and g(x) = 3x. Find gf and state its domain
Answers
Step-by-step explanation:
here's the answer to your question
Answer:
[tex]g(x) \times f(x) = 3{x}^{3} -3x[/tex]
X exists for all real numbers.
Y exists for all real numbers.
2. Sum of two numbers = 16
Difference of the numbers = 6
Find the numbers.
What is their product?
Answers
There product is 55
Answer:
Step-by-step explanation:
let the numbers be x and y.
x+y=16
x-y=6
add
2x=22
x=22/2=11
11+x=16
x=16-11=5
product xy=11×5=55
Identify the like terms in the equation 2/9 x + 6/7 + 2.35x = -4/5 x.
Answers
Answer:
Step-by-step explanation:
2/9 x + 6/7 + 2.35x = -4/5 x.
the like terms are 2/9 x , 2.35x, and -4/5 x.
they all have the variable x
Solve the simultaneous equation, will give out brainliest answer
a=bcd
a+b=cd
a+b+c=d
a+b+c+d=1
Answers
Answer:
a=1/2,b=-1,c=-1 and d=1/2
Am I right please?
Answer:
a = 1/42; b = 1/7; c = 1/3; d = 1/2
Step-by-step explanation:
a = bcd
a + b = cd
a + b + c = d
a + b + c + d = 1
d + d = 1
2d = 1
d = 1/2
2a = bc
2a + 2b = c
2a + 2b + 2c = 1
bc + 2b = c
bc + 2b - c = 0
bc + 2b + 2c = 1
-3c = -1
c = 1/3
a + b = cd
a + b = 1/6
a = bcd
a = b(1/3)(1/2)
a = 1/6 b
1/6 b + b = 1/6
7/6 b = 1/6
b = 6/42
b = 1/7
a = 1/6 b
a = 1/6 * 1/7
a = 1/42
Help me solve this please!
Answers
Answer Should be 45
Answered by Gauthmath must click thanks and mark brainliest
what is the ratio of the surface area to the volume of a cube with sides length 5
Answers
Answer:
6 : 5
Step-by-step explanation:
Volume of a cube = s^3
5^3 = 125
Surface area of a cube = 6s^2
6(5^2) = 6(25) = 150
150 : 125
30 : 25
6 : 5
coterminal to 452° between 0° and 360°
Answers
Answer:
0 and 360 - Onlinemath4all
FIND A COTERMINAL ANGLE BETWEEN 0° AND 360°. One complete rotation of a ray in the anticlockwise direction results in an angle measuring of 360°.
Missing: 452° | Must include: 452°
Convert the angle 0 = 310° to radians. Express your answer exactly.
Answers
Answer:
5.425
Step-by-step explanation:
310° = 310° × π ÷ 180°
= 310° × 3.142 ÷ 180°
= 310° × 0.0175
= 5.425
Answer:
[tex]\frac{31\pi }{18}[/tex]Step-by-step explanation:
i got it right on khan[tex]\frac{31\pi }{18}[/tex]
8tbsp. 2tsp.
x 15
_________
Answers
PLEASE HELP!!!!!!!
Which terms are like terms in the following expression? 3x + 3xy – 2x + 5y + 5x2
A. 3x and -2x
B. 3x, -2x and 5x2
C. 3x, 3xy, -2x and 5y
D. All terms are alike.
Answers
Answer:
C
Step-by-step explanation:
Give the equation for a circle with the given center and radius.
Center at (2, -9), radius = 3
A. (x+2)^2+(y−9)^2=9
B. (x+9)^2+(y−2)^2=3
C. (x−9)^2+(y+2)^2=3
D. (x−2)^2+(y+9)^2=9
Answers
Answer:
(x-2)^2 + (y+9)^2 = 9
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x-2)^2 + (y--9)^2 = 3^2
(x-2)^2 + (y+9)^2 = 9
Answer:
D.) (x−2)2+(y+9)2=9
Step-by-step explanation:
I got it correct on founders edtell
if 2x+20 and 3x+20 makes a straight angke find value of x
Answers
Answer:
x = 28
Step-by-step explanation:
The sum of the angles in a straight angle = 180°
Sum the angles and equate to 180
2x + 20 + 3x + 20 = 180
5x + 40 = 180 ( subtract 40 from both sides )
5x = 140 ( divide both sides by 5 )
x = 28
match the property to its correct name
A} additive inverse property
B} multiplicative inverse property
C} commutative property of multiplication
D} multiplicative identity
E} commutative property of complement
F} ascending property of multiplication
G} distributive property
H} associative property of multiplication
I} additive identification property
J} zero property
{1} x+(y-z)=(x+y)+z
2} (pq) * 1 = pq
3} (5x)y-5(xy)
4} a+5b = 5b + a
5} a+0=a
6} gh - hg
7} 8 + (-8)=0
8} x * 0 = 0
9} 5 * (1/5)=1
10} 2(a+h)=2a * 2b
Answers
Additive inverse and multiplicative inverse are mathematics function which creates net impact of an equation as zero.
The correct names are matched with their respective properties.
A. 7. 8 + [-8] = 0
B. 9. 5 * [1/5] = 0
C. 4. a + 5b = 5b + a
D. 2. [pq] * 1 = pq
E. 6. gh - hg
F. 3. [5x] y-5 [xy]
G. 10. 2 [a + b] = 2a * 2b
I. 5. a + 0 = a
J. 8. x* 0 = 0
Additive inverse property is when the net result from addition is zero.
Multiplicative inverse property is the equation which gives answer zero when two variables are multiplied.
Learn more at https://brainly.com/question/24325325
Please help me please and thank you
Answers
Answer:
3x² + 2x - 9 = 0
Step-by-step explanation:
Standard form of a quadratic: ax² + bx + c
Move all terms to one side of the equation:
[tex]3x^2-9=-2x\\3x^2-9+2x=-2x+2x\\3x^2+2x-9=0[/tex]
Every day, Chloe practices soccer and flute. Each day, she practices soccer for 12 hour. If after 5 days she practiced both soccer and flute for a total of 15 hours, how many hours per day did Chloe practice flute?
Answers:
1h 1.5h 2h 2.5h
Answers
Which could be the graph of f(x) = |x - h| + k if h and k are both positive?
Answers
Answer:
The first option would be your answer. The graph should be positive due to the modulus.
The first option is good.
Hope it helped!
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
in a right triangle the two sides are 10 and 5. find all possible values for the third side.
hint: there are two possibilities
Answers
Answer:
1. about 11.18
2. about 8.66
Step-by-step explanation:
1. 5^2 + 10^2= 125
square root of 125 equals about 11.18
2. 10^2-5^2=75
square root of 75 equals about 8.66
Instructions: Find the missing segment in the image below.
Triangle with a missing segment.
Answers
Answer:
x=44
Step-by-step explanation:
20/x=30/22+x
20x+440=30x
440=10x
x=44
help with this pls geometry!!
Answers
Answer:
548
Step-by-step explanation:
First, the sides:
7 × 12 = 84
84 × 2 = 168
7 × 10 = 70
70 × 2 = 140
10 × 12 = 120
120 × 2 = 240
Add:
168 + 140 + 240
^ ^
308 + 240
548
Hope this helped.
Answer:
The surface area of the rectangular prism is 548[tex]ft^{2}[/tex]
Step-by-step explanation:
To find the surface area of the rectangular prism you need to use the formula
A=2(wl+hl+hw)
Answer to question commented:
The surface area of the other rectangular prism is 430[tex]ft^{2}[/tex]
Hope this helps!
Three adults are picked at random from those with a mass of 70 kg or less.
Calculate the probability that one of them has a mass of 35 kg or less and the other two each have a
mass greater than 35 kg.
Answers
shop sells shirts. In
January they reduce the
price of all their £50 shirts
by 50%. In February they
decide to increase the price
of all their shirts by 50%. In
March they decide to
reduce the price of their
shirts by 50% again. What is
the cost of a shirt in March?
Answers
The shirts cost £25 in January
50% more of £25 = £12.5
The shirts cost £37.5 in February
50% off of £37.5 = £18.75
A shirt in March cost £18.75
2. Your school building casts a shadow 25 feet long. You are 6 feet tall and cast a shadow 18 inches long. Find the height of the school building in feet
Answers
Answer:
Height of school building = 100 feet
Step-by-step explanation:
Given;
Shadow of school building = 25 feet
Height of individual = 6 feet
Shadow of individual = 18 inches = 1.5 feet
Find:
Height of school building
Computation:
Height of individual / Shadow of individual = Height of school building / Shadow of school building
6 / 1.5 = Height of school building / 25
Height of school building = 25 x 4
Height of school building = 100 feet
Which of the following figures could have both line symmetry and rotational symmetry?
Select all that apply.
square
equilateral triangle
rectangle
isosceles triangle
trapezoid
regular octagon
Answers
Answer:
trapezoid is the right answer
Answer:
Based on what I got correct; the correct answer should be:
equilateral triangle
regular octagon
rectangle
and square.
Hope this helps :)
A recipe requires 500 mL of milk. You will make the recipe once a month for the next 4 months. You do not use milk other than for cooking. Which container of milk should you buy? (1L=1000 mL) *
Answers
Answer:
2L
Step-by-step explanation:
Each recipe = 500 mL of milk
Number of times you make recipe per month = 1
Number of months you make recipe = 4
Total milk used for 4 months = 500 mL * 1 * 4
= 2000 mL
Recall,
1L = 1000 mL
Therefore,
2000 mL = 2L
You should buy 2L container of milk
i really need help with this since it’s practice for my midterms
Answers
Answer:
It is D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Evaluate the fractions inside the absolute value
2 [tex]\frac{5}{6}[/tex] + [tex]\frac{7}{4}[/tex] ( change mixed number to improper fraction )
= [tex]\frac{17}{6}[/tex] + [tex]\frac{7}{4}[/tex] ( the LCM of 6 and 4 is 12 ) , then
= [tex]\frac{17(2)}{6(2)}[/tex] + [tex]\frac{7(3)}{4(3)}[/tex]
= [tex]\frac{34}{12}[/tex] + [tex]\frac{21}{12}[/tex] ( add the numerators, leaving the common denominator )
= [tex]\frac{55}{12}[/tex]
= 4 [tex]\frac{7}{12}[/tex] → D
Which monomials are perfect squares? Select three options.
a
25x12
b
16x9
c
6x2
d
36x16
e
9x8
Answers
Answer:
a, d and e.
Step-by-step explanation:
A perfect square is one where the coefficient is a perfect square and the exponent is even.
So they are 25x^12, 36x^16 and 9x^8.
The hardware store sells green buckets, which hold 7 liters of water, and white buckets, which hold 1 liter. Austin bought 8 buckets. His buckets will hold 38 liters in total. How many of each type of bucket did Austin buy?
? green buckets
? white buckets
Answers
Answer: 5 green buckets and 3 white buckets
Step-by-step explanation: each green bucket is 7 liters so if Austin buys 5 of them that'll equal 35 liters already. And each white bucket is 1 liter so if he buys 3 of those that'll get him to 38
Peter plays basketball. In one game, he needs to score at least 38 points to have a
season high of 1,200 points. He scores x number of 2 pointers and y number of 3
pointers and meets his goal of at least 38 points.
Using the variables given, write an inequality describing this scenario.
Answers
I am currently on mobile, but the > should have a solid line beneath. I know that 2x + 3y needs to be greater than or equal to 38, since if he scores less than 38 points he won’t meet his season high of 1,200.
Myles has calculated that 1/2 a box of tile will cover 1/6 of his kitchen floor. How many boxes of tile will he need to cover the entire kitchen?
Answers
Answer: He need 3 boxes.
Step-by-step explanation:
Every 1/6 of his floor needs 1/2 of the tile box.Split his floor into 6 parts, each part needing 1/2 of the tile box:
[tex]6*\frac{1}{2} =\frac{6}{2} =3[/tex]
Or you can add 1/2 six times for each 1/6 of the floor:
[tex]\frac{1}{2} +\frac{1}{2} +\frac{1}{2} +\frac{1}{2} +\frac{1}{2} +\frac{1}{2} =\frac{6}{2}=3[/tex]
simplify (-216mtn square)/(8mn)
Answers
Answer:
-27tn
Step-by-step explanation:
Use KIO (keep, inverse, opposite) then divide.
