Communities A,B and C are faced with acute water problem. The distance between communities A and B is 5km and that of A and C 7km. The angle between path AB and AC is 45degrees. If a well is dug for the three communities such that it would have equal distance to the path linking each communities. (a) Indicate by a way of sketching the exact place to dig the well? (b) Measure the distance between communities B and C?
Answers
Answer:
a) by finding the incentre
b) 5 km
Step-by-step explanation:
Let the communities A, B and C be shown by the three points of the triangle as shown in the figure below. As the angle between the path Ab and Ac is 45 degrees this is an isosceles triangle having two angles equal. As this is an isosceles triangle it must also have two sides equal .
a) the in center point can be used to have equal distance to the path linking each communities.
We take a compass and draw arcs on the two sides of the vertex and placing the compass on the arcs bisect each angle made by the triangles arms.
Joining the bisectors the lines meet at a point which is highlighted by a circle in the diagram.
This is the incentre which is equidistant from each vertex.
b) Using Pythagorus theorem
c² = a² + b²
7²= 5² + b²
b²= 24
b= 4.89= 5 km
The path between B and C is also 5 km.
Related Questions
I need help ASAP please
Answers
so the answer is....I think by putting the value 4 for X we get 5/11
The sum of four consecutive integers is 298. What is the largest integer?
Answers
Answer:
largest number =76
Step-by-step explanation:
let the consecutive integers be x,x+1,x+2,x+3
x+x+1+x+2+x+3=298
4x+6=298
4x=298-6
4x=292
x=292/4=73
numbers are 73,74,75,76
A wire that is 80 centimeters long is shown below. The wire is cut into two pieces, and each piece is bent and formed into the shape of a square. 80 cm wire Suppose that the side length (in centimeters) of one square is x cm. Express the perimeter of the big square in terms of x. (1 point)
Answers
Answer:
The perimeter of the second(big) square = [tex]\mathbf{4 \times \begin {pmatrix} \dfrac{80-x}{4} \end {pmatrix}}[/tex]
Step-by-step explanation:
From the information given:
The length of the piece of the wire = 80 cm
When being cut into two pieces;
the length of the first wire = x
Then the length of the second(big) wire will be = 80 - x
However, when each piece is bent to a square shape
The length of one side of the first square = [tex]\dfrac{x}{4}[/tex]
The length of one side of the second(big) square; [tex]\dfrac{80-x}{4}[/tex]
Area of a square = l² ( where l is the length of the sides)
For the first square
A₁ = [tex](\dfrac{x}{4})^2[/tex]
A₁ = [tex]\dfrac{x^2}{16}[/tex]
The area of the second(big) square is:
A₂ = [tex](\dfrac{80-x}{4})^2[/tex]
A₂ = [tex](\dfrac{(80-x)^2}{4})[/tex]
The perimeter of the first square = [tex]4 \times \dfrac{x}{4}[/tex]
The perimeter of the second(big) square = [tex]\mathbf{4 \times \begin {pmatrix} \dfrac{80-x}{4} \end {pmatrix}}[/tex]
b) Write the following numbers in order of size.
Start with the smallest number.
0.054 0.54 0.45
0.405
o
8
Answers
Answer:
0
0.054
0.405
0.45
0.54
8
Step-by-step explanation:
1. Armando started a new job as a mechanical engineer for a coal plant with an
annual salary of Php 200 000.00 in 2010. If she receives a Php 24 000.00 raise
each year, how much will her annual salary be in 2020?
Answers
Answer:
224,000
Step-by-step explanation:
annually she earns 200,000and a raise of 24,000 each year hence the sum of the two will get you an asnwer
a unit rate is a rate in which the unit in the denominater is?
Answers
Answer: a unit rate is a rate with 1
Step-by-step explanation:
4.
One endpoint of a segment has the coordinates (1,-2). The coordinates of the midpoint
are (5,-5). What are the coordinates of the other endpoint?
5.
Ray AC is in the interior of angle BAD. Write an equation using the Angle Addition
Postulate. If the measure of angle BAD = 52º and the measure of angle BAC = 2x - 3
and the measure of angle CAD = 7x + 1, what are the measures of angle BAC and
angle CAD?
Answers
Answer:
4. (9, -8)
(✿◠‿◠)
Selena is simplifying the expression (6 h Superscript 5 Baseline) squared. She wrote (6 h Superscript 5 Baseline) squared = box h Superscript 10.
What number should Selena put in the box?
Answers
Answer:
36 is the correct answer on edge
Step-by-step explanation:
(6h^5)^2 is our expression
1. Break it up:
6 x 6, h^5 x 2
2. Solve
36, h^10
therefore:
36h^10
Answer:
36
Step-by-step explanation:
What is 29 multiplied by 84
Answers
Answer:
29 x 84 = 2436
Step-by-step explanation:
4x+5=6x-7
How do I solve this?
Answers
Answer:
x=6
Step-by-step explanation:
4x+5=6x-7
4x-6x=-7-5
-2x=-12
x=-12/-2
x=6
Answer: x=6
Isolate the variable by dividing each side by the factors that don't contain variables
Find x.
(4x + 16)
(2x + 34)
A. X = 9
B. X= 52
C. X = 21.7
D. X = 25
Answers
Answer:
A. x=9
Step-by-step explanation:
4x+16=2x+34
-2x -2x
2x+16=34
-16 -16
2x=18
÷2 ÷2
x=9
y=2x+3 for the slope
Answers
x= -3/2
Step-by-step explanation:
y=2x+3 for the slope
move the variable to the left
divide both sides
solution solve
Which best describes what forms in nuclear fusion?
a
one smaller, less stable nucleus
b
one larger, more stable nucleus
c
two larger, less stable nuclei
d
two smaller, more stable nuclei
Answers
Answer:
I guess Letter B. One Larger, More stable nucleus
It produces nearly all the elements that are heavier than helium..
Answer:
Answer A
Step-by-step explanation:
Edge 2021
A square patio has an area of 136 square feet. How long is each side of the patio to the nearest tenth?
Answers
Answer:
11.7
Step-by-step explanation:
Answer:
11.7 feet
Step-by-step explanation:
Area finds the length times the width (LxW). In other words, area is how long the first side is multiplied by how wide the second side is. If A=LxW, and we know A is 136, then we know that 136=LxW. This alone isn't enough to find L and W. However, we do know that the patio is a square. Squares have equal sides, so L and W will be the same number. Basically, you need to find the number that equals 136 when it's multiplied by itself. X multiplied by X needs to be 136. You can do this easily with a calculator, if you're allowed to have one. just use the square root function on 136, and be sure to round your answer. If you're not allowed to use a calculator, it's a bit more trial-and-error. Try to see what numbers multiplied by themselves get close to 136, and narrow it down from there (ex. if 11 is too little and 12 is too much, the answer is between 11 and 12). You can also look up video tutorials for how to find a square root without a calculator, or use other study platforms. I hope this helps, and feel free to ask me any questions!! :)
Calculate the slope between the points (4,5) and (7,9).
a
m=-3/4
b
m=-4/3
С
m=4/3
m=3/4
Answers
Answer:
m = 4/3
Step-by-step explanation:
Slope of line is given by
m = (y2-y1)/(x2-x1)
where
(x1,y1) and (x2,y2) are the two points on coordinate plane.
__________________________________________
Given points
(4,5) and (7,9)
using the above formula to find slope and plugging in the given points value
we have,
slope m = (9-5)/(7-4)
m = 4/3
Thus, slope between the points (4,5) and (7,9) is m = 4/3. The third option.
What is the solution to the system of equations?
{x=2y+3
{4x-5y=9
Answers
Answer:
(1,-1)
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :).
Help ya girl out with this one please ASAP <3
Answers
Answer:
x = 1
Step-by-step explanation:
6x + 6x - 7 = 5
combine like terms
12x - 7 = 5
add 7 to both sides of the equation
12x - 7 + 7 = 5 + 7
12x = 12
divide both sides of the equation by 12
12x/12 = 12/12
x = 1
Answer:
x=1
Step-by-step explanation:
The attachement below.
*Remember: This is combining like-terms and solving 2-step equations*
what is a quotient of 2.5.
Answers
Answer: The number 8 goes into 40 five times, resulting in a final quotient of 2.5.
Step-by-step explanation:
Answer:
Example, the number 8 goes into 20 2.5 times, resulting in a quotient of 2.5
Step-by-step explanation:
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4 and each adult ticket sells for $8.50. The auditorium can hold at most 79 people. The drama club must make no less than $460 from ticket sales to cover the show's costs. If 53 student tickets were sold, determine the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses. If there are no possible solutions, submit an empty answer.
Answers
Answer:
There is no way.
Step-by-step explanation:
4 x 53 = 212.
460 - 212 = 248.
The mininmum adult tickets you would need is 29 but that would go over the capacity
7y−4(9/4y−6). simplified
Answers
Answer:
−2y+24
Step-by-step explanation:
Let's simplify step-by-step.
7y−4(9/4y−6)
Distribute:
=7y+(−4)(9/4y)+(−4)(−6)
=7y+−9y+24
Combine Like Terms:
=7y+−9y+24
=(7y+−9y)+(24)
=−2y+24
-2y+24
Pls mark brainliest
Jsjsjsjsjsjsjsjsjsjsjsjsj
Solve 8x-3y=14 for y
Answers
Answer:
see the photo
Step-by-step explanation:
hope this helps
For the fair, the organizers ordered 33 rolls of tickets. Each roll of tickets has 100 tickets. How many tickets were ordered in all?
Answers
Answer:
3,300
Step-by-step explanation: 100 times 33 equals 3,300
Answer:
3,300 tickets
Step-by-step explanation:
33 times 100 = 3,300
If l is parallel to m find the value of each missing variable
Answers
Answer:
In the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)
The width of a rectangle is 3 feet less than twice the length. Find the length if the
perimeter is 84
Answers
Answer:
Your width is 5 feet and your length is 7!!!!!
Step-by-step explanation:
MARK AS BRAINLIEST
Pythagorean Therom.What is the length of segment AB?
Answers
Answer:
A square + B square = C square
Step-by-step explanation:
p−1=5p+3p−8
Anyone help. Its due at 11:59 pm :( please help
Answers
Answer:
p = 1
Step-by-step explanation:
p - 1 = 5p + 3p - 8(collect like terms)
p - 1 = 8p - 8(add 1 on each side)
p = 8p - 7(subtract 8p on each side)
-7p = -7 (divide by -7)
p = 1
Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 of a gallon is drained from the tank. The third day, 810 of a gallon is added to the tank. The fourth day, 610 of a gallon is drained from the tank. The amount of water in the tank after 15 days is given by 910+(−710)+810+(−610)+⋯+310+(−110)+210 9 10 + ( − 7 10 ) + 8 10 + ( − 6 10 ) + ⋯ + 3 10 + ( − 1 10 ) + 2 10 . How much water is in the tank after 15 days? Write your answer as a decimal. gallon(s)
Answers
Answer:
The quantity of water in the tank after 15 days is 1610.0 gallons OR 1.61 × 10³ gallons.
Step-by-step explanation:
The amount of water in the tank after 15 days is given by the series
910+(−710)+810+(−610)+⋯+310+(−110)+210
From the series, we can observe that, if water is added for a particular day then water will be drained the following day.
Also, for a day when water is to be added, the quantity to be added will be 100 gallon lesser than the quantity that was last added. Likewise, for a day when water is to be drained, the quantity to be drained will be 100 gallons lesser than the quantity that was last drained.
Hence, we can complete the series thus:
910+(−710)+810+(−610)+710(-510)+610(-410)+510(-310)+410(-210)+310+(−110)+210
To evaluate this, we get
910-710+810-610+710-510+610-410+510-310+410-210+310-110+210
= 1610.0 gallons
Hence, the quantity of water in the tank after 15 days is 1610 gallons OR 1.61 × 10³ gallons.
based on her recipe, Elena knows that 5 servings of granola has 1750 calories.
Answers
Answer:
700 calories
Step-by-step explanation:
1750 ÷ 5 = 350350 × 2 = 700I hope this helps!
Madison wants to bake 5 cakes for the church
festival. She needs 1 3/4 cups of flour and 2
1/2 cups of sugar for each cake. How much
sugar will she need for the 5 cakes?
Answers
Answer:She will need 12 and 1/2 cups of sugar
Step-by-step explanation:
Just set up a table and multiply 2 1/2 by 5 and you get 12 1/2
what does x equal to?
Answers
Answer:
156
Step-by-step explanation:
180-24-3=156