Communities A,B and C are faced with acurate water problem. The distance between A and B is 5km and that of A and C is 7km, the angle between path AB and Ac is 45 degree . If a well is to be dug for the communities such that it would have equal distance in the path linking each communities. A) indicate by using of sketching the exact place to dug the well. B) measure the distance between communities B and C
Answers
Answer:
B) The distance between communities B and c is 4.95 km.
Step-by-step explanation:
A) Join communities B and C. Then bisect angles A, B and C to determine the mid point equidistant to the three communities. The point where the three bisectors meet, w, is the exact place to dig the well.
The sketch is in the attachment to this answer.
B) Since we have two sides and an included angle, the cosine rule is applicable to determine a (distance between B and C).
[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bc Cos A
b = 7 km, c = 5 km and A = [tex]45^{o}[/tex]. So that;
[tex]a^{2}[/tex] = [tex]7^{2}[/tex] + [tex]5^{2}[/tex] - 2(5 x 7) Cos [tex]45^{o}[/tex]
= 49 + 25 - 70 x 0.7071
= 74 - 49.497
= 24.503
⇒ a = [tex]\sqrt{24.503}[/tex]
= 4.95
The distance between communities B and c is 4.95 km.
Related Questions
awnser this plsss hahahhhahahahahaha
Answers
Answer:
c
Step-by-step explanation:
A group of experimenters has 40 mosquitoes in a large container and needs to assign 10 to each of the four groups labeled A, B, C, and D for an experiment. They can capture the mosquitoes one at a time when the mosquitoes enter a side chamber in the container that is baited with water. Which of the following methods is most likely to result in four comparable groups of 10 mosquitoes each?
A. Label the first 10 mosquitoes caught as group A, the second 10 caught as group B, the third 10 caught as group C, and the fourth 10 caught as group D.
B. Write the letters A, B, C, and D on separate slips of paper. Pick one of the slips of paper randomly and assign the first 10 mosquitoes caught to that group. Pick another slip and assign the next 10 mosquitoes caught to that group. Pick another slip and assign the next 10 mosquitoes caught to that group. Assign the remaining mosquitoes to the remaining group
C. When each mosquito is caught, roll a die. If the die shows an even number, the mosquito is labeled A If the die shows an odd number, the mosquito is
labeled B. When 10 mosquitoes have been labeled A and 10 have been labeled B. split the remaining 20 mosquitoes into groups C and D.
D. Place each mosquito in its own numbered container (numbered from 1-40) in the order it was caught. Write the numbers from 1 to 40 on slips of paper, put the slips in a jar, and mix them well Pick 10 numbers out of the jar Assign the mosquitoes in the containers with those numbers to group A. Pick 10
more numbers for group B. Pick 10 more numbers for group C. Assign the remaining 10 mosquitoes to group D.
E. When each mosquito is caught, roll a die if the die shows a 1 or 2, the mosquito is labeled A. If the die shows a 3 or 4, the mosquito is labeled B. If the die shows a 5 or 6, the mosquito is labeled C. Repeat this process for 30 mosquitoes Assign the remaining 10 mosquitoes to group D.
Answers
Answer: D. Place each mosquito in its own numbered container (numbered from 1-40) in the order it was caught. Write the numbers from 1 to 40 on slips of paper, put the slips in a jar, and mix them well Pick 10 numbers out of the jar Assign the mosquitoes in the containers with those numbers to group A. Pick 10 more numbers for group B. Pick 10 more numbers for group C. Assign the remaining 10 mosquitoes to group D.
Step-by-step explanation:
This way of gathering the mosquitos is more randomized thus ensuring fair and comparable groups of 10 mosquitos each.
Answer:
The answer is D. I took this test!
Step-by-step explanation:
Mrs. Garza went to dinner at ChaChi's with her family. The food bill was
$58.00. Because the Garza's won the lottery, Mr. Garza tipped the waiter 30%
of the food bill. How much money did the Garza's pay in total, including the
tip?
Answers
Answer:
$75.40
Step-by-step explanation:
first you need to find what 30% of 58 is. to find that you would multiply the decimal form of the percentage (so 30% would become 0.3) by 58. this gets you 17.4. then you add that to the original price (58) to get the answer (75.4). then of course you change the format so that it can fit the whole dollar and cent thing so you get $75.40.
hope this helped :))
Which pair of triangles must be similar? Group of answer choices Triangles 1 and 2 each have a 35∘ angle. Triangles 3 and 4 are both isosceles. They each have a 40∘ angle. Triangle 5 has a 30∘ angle and a 90∘ angle. Triangle 6 has a 30∘ angle and a 70∘ angle. Triangle 7 has a 50∘ angle and a 25∘ angle. Triangle 8 has a 50∘ angle and a 105∘ angle.
Answers
Answer:
b
Step-by-step explanation:
I NEED HELP IMMEDIATELY!!! The following figures were created with squares, where
each side of the squares has a length of exactly one unit.
A, represents the area of the first figure, Az represents the
area of the second figure, and so on. Based on this
pattern, what would be the rule for the area of the nth
figure when n > 1?
Answers
Answer:
c
Step-by-step explanation:
The cost of 2.5 pounds of cheese is $5.60.
PLEASE DO THESE STEPS
A. What is the cost of one pound of cheese? Type your answer in the box.
B. Mrs. Peterson bought 4.75 pounds of cheese. How much money did Mrs. Peterson spend on cheese?
D. How could you find the cost for 5 pounds of cheese without finding the cost per pound? Type your answer in the box.
Answers
Answer:
Step-by-step explanation:
Step one:
given data
cost of 2.5 pounds is $5.6
A. What is the cost of one pound of cheese? Type your answer in the box.
if 2.5 pounds is $5.6
the 1 pound will cost x
cross multiply we have
x=5.6/2.5
x=$2.24
B. Mrs. Peterson bought 4.75 pounds of cheese. How much money did Mrs. Peterson spend on cheese?
we know that 1 pound cost $2.24
therefore 4.75pound, she will spend= 4.75*2.24=$10.64
C. How could you find the cost for 5 pounds of cheese without finding the cost per pound?
we can use the rate for 2.5 pounds at $5.6
i.e 2.5 pounds at $5.6
5 pounds will cost x
cross multiply we have
x=5*5.6/2.5
x=28/2.5
x=$11.2
In the following figure, given a parallelogram ABCD. Find x and y
Answers
Answer: Ctrl + U scroll to the bottom and see your answers
Step-by-step explanation:
A car bought for $2500 is sold for $2000. What
is the loss as a percentage of the cost price? Please help.
Answers
Answer:
20% lost
Step-by-step explanation:
the difference is 500 and 500 is 20 percent of 2500
Answer:
20 percent
Step-by-step explanation:
3. how to answer it A store is having a sale to celebrate President’s Day. Every item in the store is advertised as one-fifth of the original price. If an item is marked with a sale price of $140, what was its original price?
Answers
Answer:700
Step-by-step explanation: (1/5) x= 140
X= 140/ (1/5)
X=700
If you eat in a restaurant and your bill is 45$. what percent tip will you leave?( Assume the service was good) How much will that be? what is the total?
Answers
Answer:
$55
Step-by-step explanation:
I would give them a $10 dollar tip if their service was good.
Some people do 15%-20%. or double the tax on the bill. What I would do is 20%, that would be 45*20%=9 or for. so the total would be $54. for 15% you would calculate 15%*45=6.75, so the total would be $51.75.
Which of the following equations is the perpendicular bisector of the line AB given:
A(3,1) & B(-3,6)
O y = 6/5x + 4
O y = 6/5x + 9/2
O y = 6/5x + 7/2
O y = -5/6x + 7/2
Answers
Answer:
C. y = ⁶/5x + ⁷/2
Step-by-step explanation:
First, find the slope of line AB that goes through A(3, 1) and B(-3, 6):
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - 1}{-3 - 3} = \frac{5}{-6} [/tex].
Slope of line AB = -⅚.
The slope of the line that is a perpendicular bisector of line AB will be a negative reciprocal of the slope of line AB.
Thus:
Negative reciprocal of -⅚ = ⁶/5. (Reciprocal of ⅚, also the sign will change from positive to negative).
Next is to find the y-intercept, b, of the line.
To do this, you need to find the midpoint where the two lines intersect:
Therefore,
Midpoint (M) of AB, for A(3, 1) and B(-3, 6) is given as:
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Let [tex] A(3, 1) = (x_1, y_1) [/tex]
[tex] B(-3, 6) = (x_2, y_2) [/tex]
Thus:
[tex] M(\frac{3 +(-3)}{2}, \frac{1 + 6}{2}) [/tex]
[tex] M(\frac{0}{2}, \frac{7}{2}) [/tex]
[tex] M(0, \frac{7}{2}) [/tex]
Substitute x = 0, y = ⁷/2, and m = ⁶/5 into y = mx + b and find the value of b.
⁷/2 = ⁶/5(0) + b
⁷/2 = b
b = ⁷/2
The slope (m) and the y-intercept, b, of the line we are looking for are ⁶/5 and ⁷/2, respectively.
Therefore, substitute m = ⁶/5 and b = ⁷/2 into y = mx + b.
y = ⁶/5x + ⁷/2
The equation that is the perpendicular bisector of the line AB is y = ⁶/5x + ⁷/2.
Which number is a solution of the inequality?
n(n – 3) < 54
Answers
15
Use the ALEKS calculator to write as a percentage.
52
Round your answer to the nearest tenth of a percent.
Х
5
?
Answers
Answer:
The Answer Is 28.8%
Step-by-step explanation:
I got it right on my Aleks assigments :)
In which way do RElTs resemble mutual funds?
a. Money is invested in a fund that is controlled by a board, and dividends are paid out to the investors.
b.Both mutual funds and REITS provide the investor with a monthly income.
c. Both REITS and mutual funds are deferred until after retirement.
d. Mutual funds and REITS are involved with investing money in real estate.
Answers
Answer:
A, 100 on Edge :)
Step-by-step explanation:
Which two ordered pairs generated by x = y^2 - 1 can be used to show that the equation is not a function?
which one is it?
1. (3,2) and (15,4)
2. (8,3) and (8,-3)
3. (0,-1) and (-1,0)
4.(-3,-2) and (24,-5)
Please and thank you!
Answers
Answer:
3
Step-by-step explanation:
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the difference between two number is 5 and difference in thrie squares is 65 . find the larger number.?
Answers
Answer:
it is 9 and 4
Step-by-step explanation:
he is correct
Dimitri is buying a camera on an installment plan. He makes equal monthly payments. The equation below can be used to find the amount he owes after any number of months of payments.
y=−25x+400
What does the number 400 represent in the equation?
Answers
Answer: How much he owes initially
Step-by-step explanation: It is in slope-intercept form. y=mx+b. My comment earlier was incorrect. m is how much money he has to pay every month, and b is how much he initially owes.
How much he owns initially
Suppose you work on a tree farm and you need to find the height of each tree. You know that the length of an object with its height. Find the constant of variation
Answers
Answer:
The answer is below
Step-by-step explanation:
Suppose you work on a tree farm and you need to find the height of each tree. You know that the length of an object varies directly with its height. a) Find the constant of variation b) find the height of the tree
Solution:
a) Let y represent the length of an object and x represent the height of the object. Given that y ∝ x. Let k be the constant of variation, therefore the relationship between y and x is:
y = kx
y = 2 ft 2 in = 13/6 ft (1 ft = 12 in)
x = 6 ft
Substituting gives:
13/6 = k(6)
k = 13/6 ÷ 6
k = 13/36
b) y = (13/36)x
Given that y = 8ft 4 in = 25/3 ft
Substituting:
y = (13/36)x
25/3 = (13/36)x
x = 25/3 ÷ (13/36)
x= 300/13 ft ≈ 23 ft
Azarel spent half of his weekly allowance on comic books. To earn more
money his parents let him clean the windows in the house for $9. What is
hsi weekly allowance if he ended up with $12? *
Answers
Answer:
His weekly allowance is $6.
Step-by-step explanation:
You can get the answer by using algebraic expressions.
Let 2x be Azarel's weekly allowance.
Let [tex]\frac{1}{2}[/tex](2x) be the amount after Azarel spends his allowance on comic books.
The equation will be: 12=2x+9-[tex]\frac{1}{2}[/tex](2x)
Let's solve for x:
Step 1: 12=2x+9-x
Step 2: 12=x-9
Step 3: x=12-9
Step 4: x=3
Step 5: Replace 2x with 2(3) = 6
The answer is $6. This is the allowance of Azarel every week. He spends $3 for comic books weekly, which is half of $6.
Suppose that you decide to participate in a charity walkathon to raise money for your cause. Some people decide to donate a fixed amount, while others agree to donate a little money for every mile you walk. Before the event starts, you raised $25, and you have been pledged $1.50 for each mile you walk. The function defined by d(m) = 1.5m + 25 can be used to relate the miles you walk, m, and the amount of money donated to you in dollars, d(m).
Evaluate d(3)
Explain what it means in the context of the problem.
While you were walking, you lost track of the number of miles you had walked. At the end of the event, an organizer tells you that you raised $40 through your walk. How many miles did you walk?
Answers
Answer:
d(3)=$29.5 is the amount of money raised when you walked 3 miles.
You walked 10 miles fo raise $40
Step-by-step explanation:
The function to model the amount of money raised in the charity walkathon is:
d(m) = 1.5m + 25
Where m is the miles walked.
Evaluate d(3):Substituting m=3:
d(3) = 1.5*3 + 25 = 4.5 + 25 = 29.5
This value is the amount of money raised when you walked 3 miles.
We know you raised $40 but you don't know the number of miles walkedSince we have the function to calculate d(m), and the money raised is known, we have to find the value of m such that this condition is met:
40 = 1.5m + 25
Subtracting 25:
40 - 25 = 1.5m
15 = 1.5m
Dividing by 1.5:
15 / 1.5 = m = 10
It means you walked 10 miles fo raise $40
2 and 1 over 2 divided by 2 and 1over 4
Answers
Answer:
what do u mean
Step-by-step explanation:
Answer:
It would be 1.1¯ (1.1 repeating).
Janet states the equation 10x−3+2x=12x−5+2 has only one solution because both sides are already the same. Is she correct? Explain your answer.
Answers
Answer: I think the answer has infinite solutions since they are equal.
Step-by-step explanation:
Please help due tomorrow
Answers
A group of students were competing to raise money for a local animal shelter; their goal was to raise $400. Phillip raised 60% of the goal himself himself. How much money will the rest of the students raise.
Answers
Answer:
the rest of the students will have to raise $240
Step-by-step explanation:
times 400 by 60% or 0.60
400 x 0.60 = 240
The measure of angle B is 83 degrees, and the measure of angle C is 42 degrees.
Triangle B C D.
What is the measure of angle D in degrees?
41°
45°
55°
125°
Answers
Answer:
55 degrees
Step-by-step explanation:
The total degrees of a triangle is 180 so when you add angle B (83 degrees) and angle C (42 degrees) you get 125 degrees. 180-125=55
Answer:
✔ 55°
--------------------------------
The measure of angle B is 83 degrees, and the measure of angle C is 42 degrees.
Triangle B C D.
What is the measure of angle D in degrees?
41°
45°
✔ 55°
125°
3.02 Quiz: Constructions of Segments Angles and Bisectors
What are the steps for using a compass and straightedge to construct the bisector of ZR?
R
Drag the steps and drop them in order from start to finish.
Use the straightedge to draw RU
Without changing the opening of the compass, place the point of the compass on point T and draw another are in the interior of
the angle.
Place the point of the compass on point S and draw an arc in the interior of the angle.
Place the point of the compass on point R and draw an arc that intersects the sides of ZR. Label the points of intersection as
Answers
Answer:
The steps to construct the bisector of ∠R using a compass and a straightedge in order from start to finish are;
1) Place the point of the compass on point R and draw an arc that intersects the sides of ∠R. Label the points of intersection as T and S
2) Place the point of the compass on point S and draw an arc in the interior of the angle
3) Without changing the opening of the compass, place the point of the compass on the point T and draw another arc in the interior of angle ∠R. Label the point of intersection of the two arcs as U
4) Use the straightedge to draw RU
Step-by-step explanation:
In order to construct the bisector to an angle
The compass is used to draw an arc that intersects the two rays forming the angle.
From the point of intersection of the arc constructed above and the two rays, two arcs are drawn with the same radius, on the inside of the angle to be bisected, intersecting each other
From the point of intersection of the two arcs drawn wit the same radius, drawn from the intersection of the first arc and the two rays forming the angle to be bisected, a line is drawn with a rule or straightedge to the vertex of the angle to be bisected.
Answer:
The steps to construct the bisector of ∠R using a compass and a straightedge in order from start to finish are;
1) Place the point of the compass on point R and draw an arc that intersects the sides of ∠R. Label the points of intersection as T and S
2) Place the point of the compass on point S and draw an arc in the interior of the angle
3) Without changing the opening of the compass, place the point of the compass on the point T and draw another arc in the interior of angle ∠R. Label the point of intersection of the two arcs as U
4) Use the straightedge to draw RU
Step-by-step explanation:
In order to construct the bisector to an angle
The compass is used to draw an arc that intersects the two rays forming the angle.
From the point of intersection of the arc constructed above and the two rays, two arcs are drawn with the same radius, on the inside of the angle to be bisected, intersecting each other
From the point of intersection of the two arcs drawn wit the same radius, drawn from the intersection of the first arc and the two rays forming the angle to be bisected, a line is drawn with a rule or straightedge to the vertex of the angle to be bisected.
Step-by-step explanation:
Mathematics.... Use 22/7
Wrong or other answers will be reported
Answers
Answer:
A
Step-by-step explanation:
Volume of cylinder= πr²h, where r is the radius
Volume of concrete
= volume of large cylinder -volume of smaller hollow cylinder
Large cylinder:
Diameter= 7m
Since radius= ½(diameter),
Radius= 7 ÷2= 3.5m
Height= 3m
Volume of large cylinder
= π(3.5)²(3)
= 36.75π m³
Small hollow cylinder:
Diameter= 4m
Radius= 4 ÷2= 2m
Height= 3m
Volume of small hollow cylinder
= π(2)²(3)
= 12π m³
Substitute vol. of large and small hollow cylinder with 36.75π and 12π respectively, then substitute 22/7 for π:
Volume of concrete
= 36.75π -12π
= 24.75π
[tex] = 24.75( \frac{22}{7} ) \\ = 77.79 \: m^{3} [/tex]
( to 2 d.p.)
explain the difference between assertive and aggressive behavior
Answers
Answer:
Assertive behavior is all about standing up for yourself, but aggression usually involves threatening, attacking, or (to a lesser degree) ignoring others. Assertive individuals stand up for themselves—for their beliefs, their values, their needs. And they do so in a respectful, unthreatening, nonviolent way.
Step-by-step explanation:
Answer:
Assertive behavior is all about standing up for yourself, but aggression usually involves threatening, attacking, or (to a lesser degree) ignoring others.
Step-by-step explanation:
please help me this due today - two-step equations (20 pts)
1: m/8 + 15 = 20
2: 4 = m/3 -6
3: 44 = 4t + 8
4: 15+ 2x = 75
Answers
Answer:
1:
[tex] \frac{m}{8} + 15 = 20 \\ m + 120 = 160 \\ m = 160 - 120 \\ m = 40[/tex]
[tex]4 = \frac{m}{3} - 6 \\ 12 = m - 18 \\ - m = - 18 - 12 \\ - m = - 30 \\ m = 30[/tex]
44=4t+8
-4t=8-44
-4t=-36
t=9
And the last one is
15+2x=75
2x=75-15
2x=60
x=30
Hope this helps :)
Abe had 156.43$ in his bank account at the beginning of the month. He made the two withdrawals shown in his check register. How much money does he have left in his bank account? He must have at least 100$ in his account by the end of the month or he will be charged a fee. How much money does he need to deposit to avid being charged a fee?
Answers
Answer:
$92.05$7.95Step-by-step explanation:
1. Abe had $156.43 in his account and then withdrew $24.97 and $39.41. The amount left is;
= 156.43 - 24.97 - 39.41
= $92.05
2. He needs to have at least a $100 to avoid a fee so the minimum he needs to deposit is;
= 100 - 92.05
= $7.95
