1.) The island shown has a population of 12,175 people. Find the population
density in people per square kilometer.
18.5 km
11.1 km
Answers
Answer:
Population density = [tex]148.22\ \text{people per square kilometer}[/tex]
Step-by-step explanation:
The attached figure shows the dimension of an island.
Population density is equal to total population per unit land area.
Firstly we will find the area of the triangle using Pythagoras theorem as follows :
[tex]H^2=B^2+P^2[/tex]
H is Hypotenuse, B is base and P is perpendicular
[tex]B=\sqrt{H^2-P^2} \\\\B=\sqrt{(18.5)^2-(11.1)^2} \\\\B=14.8\ km[/tex]
Area of triangle is given by :
[tex]A=\dfrac{1}{2}\times b\times P\\\\A=\dfrac{1}{2}\times 14.8\times 11.1\\\\A=82.14\ km^2[/tex]
[tex]\text{Population density}=\dfrac{\text{Total population}}{\text{land area}}\\\\=\dfrac{12175 }{82.14}\\\\=148.22\ \text{people per square kilometer}[/tex]
Hence, the population density is [tex]148.22\ \text{people per square kilometer}[/tex].
Related Questions
can you guys please help with this question i need it asap, thank you very much.
Answers
Answer:
its C
Step-by-step explanation:
What is the solution to the inequality in interval notation? 5k+28<−4(k+2) A. (−∞, −4] B(−∞, −4) C [4, ∞) D (−∞, 4)
Answers
Answer: (-∞,-4)
Step-by-step explanation: I had the same question on my test hope it helps!
Three less than 6 times a number
Answers
Answer:
6x-3
Step-by-step explanation:
The required number, which is 3 less than 6 time of number n is 6n-3.
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
Let the number is n,
According to given conditions,
To determine the number, which is 6 times of the number and 3 less,
Use expression form,
The required number can be written as,
3n-6
The required number is 3n-6.
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______cos b= 1/2[sin(a+b)+sin(a-b)]. A. cos a B. sin a C. cos b D. sin b
Answers
sin(a+b) = sinacosb + cosasinb
sin(a-b) = sinacosb - cosasinb
adding we get sin(a+b) + sin(a-b) = 2sinaccosb
so sinacosb = 1/2sin(a+b) + sin(a-b)
Answer: Sin a
Answer:
sin a
Step-by-step explanation:
A P E X
× + 5=2 what value of the × make the following ture
Answers
Answer:
[tex]\huge{\fbox{\sf{ x = -3 }}}[/tex]
Step-by-step explanation:
[tex]\sf{ x + 5 = 2}[/tex]
Since , we are asked to find the value of x , move 5 to right hand side and change its sign.
⇒ [tex]\sf{x = 2 - 5}[/tex]
Remember!
The positive integers are always added but posses the positive ( + ) sign.The negative integers are always added but posses the negative ( - ) sign.The negative and positive integers are always added but posses the sign of the bigger integer.⇒[tex]\sf{ x = -3 }[/tex]
Hope I helped!
Best regards!
- TheAnimeGirl
When two lines intersect, they intersect at a...
A) Ray
B
Point
Line
Plane
Answers
Answer:
point
Step-by-step explanation:
People at a library were asked how many states they
had visited. Below is a stemplot of all of the data
except for one value.
Which of the following statements is true?
If the missing data value were 32, the IQR would
change substantially.
If the missing data value were 32, the range would
change substantially.
If the missing data value were 50, the IQR of the
data would change substantially.
If the missing data value were 50, the range of the
data would change substantially.
Answers
Answer:
Answer is D on e2020
Step-by-step explanation:
why does vla statistics have little to no answers available for it?
The statement that is correct is If the missing data value were 50, the range of the data would change substantially. The correct option is D.
What is the range of a data set?The range is the difference between the Maximum value of the data set and the Minimum value of the dataset.
Range = Maximum value of the data set - Minimum value of the dataset
The given data observation from the stemplot is given below.
8, 9, 9, 9, 10, 11, 12, 12, 12, 14, 15, 16, 16, 18, 18, 21, 22, 27, 27, 27, 31
Since IQR or the interquartile range is the difference between the quartiles, therefore, it won't be affected much if either of the two values 32 and 50 are added.
Now, the range of the data without 32 or 50 will be,
Range = 31 - 8 = 23
The range of the data when 32 is added,
Range = 32 - 8 = 24
The range of the data when 50 is added,
Range = 50 - 8 = 42
Hence, the statement that is correct is If the missing data value were 50, the range of the data would change substantially.
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Solve for x: 4(×+10)-3=2x+13
Answers
Answer:
Pull out like factors
2x + 24 = 2 • (x + 12)
2x + 24 = 2x + 24
This equation is a tautology or an Identity meaning it's always true.
Step-by-step explanation:
Answer:
x = 12
Step-by-step explanation:
4x + 37 = 2x + 13
-2x. -2x
2x + 37 = 13
-37. -37
2x = -24
x = -12
Consider right triangle ABC below. Which expressions represent the length of side bc
Answers
Answer:
It's B and C
Step-by-step explanation:
I have this same question on Khan Academy, and it is B. 6⋅sin(35°) and C. 6⋅cos(55°)
The solution to the problem can be solved using trigonometric functions.
Trigonometric functions[tex]\rm{Sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]Cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]Tan \theta=\dfrac{Perpendicular}{Base}[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
The value of BC = 6 Cos(55°) = 6 Sin(35°).
Given to usAC = 6 units∠A = 35°∠B = 90°∠C = 55°Solution1. For ∠CCosine Function
[tex]\rm{ Cos(\angle C) = \dfrac{Base}{Hypotenuse}[/tex]
[tex]\rm{ Cos(55^o) = \dfrac{BC}{AC}[/tex]
[tex]\rm{ Cos(55^o) = \dfrac{BC}{6}[/tex]
[tex]{BC}={6}\ Cos(55^o)[/tex]
2. For ∠ASine Function
[tex]\rm{ Sin(\angle A) = \dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\rm{ Sin(35^o) = \dfrac{BC}{AC}[/tex]
[tex]\rm{ Sin(35^o) = \dfrac{BC}{6}[/tex]
[tex]{BC}={6}\ Sin(35^o)[/tex]
Hence, the value of BC = 6 Cos(55°) = 6 Sin(35°).
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Clarkson University surveyed alumni to learn more about what they think of Clarkson. One part of the survey asked respondents to indicate whether their overall experience at Clarkson fell short of expectations, met expectations, or surpassed expectations. The results showed that 5 of the respondents did not provide a response, said that their experience fell short of expectations, and of the respondents said that their experience met expectations. Round your answers to two decimal places. a. If we chose an alumnus at random, what is the probability that the alumnus would say their experience surpassed expectations
Answers
This question is not complete, the complete question is;
Clarkson University surveyed alumni to learn more about what they think of Clarkson. One part of the survey asked respondents to indicate whether their overall experience at Clarkson fell short of expectations, met expectations, or surpassed expectations. The results showed that 5% of the respondents did not provide a response, 26% said that their experience fell short of expectations, and 65% of the respondents said that their experience met expectations. Round your answers to two decimal places.
a. If we chose an alumnus at random, what is the probability that the alumnus would say their experience surpassed expectations
b. If we chose an alumnus at random, what is the probability that the alumnus would say their experience met or surpassed expectations?
Answer:
a) 0.04
b) 0.69
Step-by-step explanation:
Given that
P ( No response ) = 5% = 0.05
P ( Short of expectation ) = 26 = 0.26
P ( Met expectation ) = 65% = 0.65
a) the probability that the alumnus would say their experience surpassed expectations
P ( surpassed expectations) = 1 - (P(No resp )+P( Short of exp)+ P( Met exp))
= 1 - (0.05 + 0.26 + 0.65 )
= 1 - 0.96
= 0.04
b) the probability that the alumnus would say their experience met or surpassed expectations.
the probability that experience met or surpassed expectations is;
= P (met exp) + P ( surpassed exp)
= 0.65 + 0.04
= 0.69
2. You bought 3 pumpkin pies for $60. One of your friends paid for 1/3 of the entire cost. Another friend gave you ¼ of the cost. How much is left?
Answers
Answer:
$25
Step-by-step explanation:
1/3 of the $60 cost is $20.
1/4 of the $60 cost is $15.
The amount remaining is $60 -20 -15 = $25.
$25 is left.
Ben is baking a cake. His recipe calls for 3/4 cups of sugar and 1/3 teaspoons of butter. How much sugar does Ben need per teaspoon of butter? Leave your answer as a fraction. if u asnwer this ur the best
Answers
Answer:
Improper fraction is 9/4 cups, Mixed number is 2 1/4 cups
9/4 cups of sugar or 2 1/4 cups of sugar
Step-by-step explanation:
36 tsp are in 3/4 of a cup
so you have 1/3 : 36
1/3 is less than a whole teaspoon, so the amount of sugar would be greater than 3/4 cups
1/4 cups of sugar: 1 tsp of butter; or 108 teaspoons of sugar: 1 teaspoon of butter
Hope this helps!
Plz name brainliest if possible!
2
3
What is the product of - 7 and 7?
6
0-
6
49
o
49
В
Answers
Answer:
-49 is the product of -7 and 7
Answer:
-49
Step-by-step explanation:
-7 x 7 = -49
negative and negative = positive
negative and positive = negative
can someone please show me the step-by-step explanation
Answers
Answer:
x = 4
EFH = 21°
EFG = 83°
Step-by-step explanation:
EFH + HFG = EFG
(5x + 1) + 62 = (18x + 11)
solve for x:
62 = (18x + 11) - (5x + 1)
62 = 13x + 10
62 - 10 = 13x
52 = 13x
x = 52/13 = 4
if angle CDE is a straight angle, DE bisects angle GDH, angle GDE=(8x-1), angle EDH= (6x+15), and angle CDF=43 , find each measure
Answers
The measures of the angle in the triangle are; ∠CDF = 43, ∠GDE = 63°, ∠FDG = 74°
How to find the measure of an angle?From the way the problem is worded:
∠CDE is a straight angle made up of three angles:
∠CDF = 43°
∠FDG is unknown
∠GDE = 8x - 1
∠EDH is outside CDE = 6x + 15.
DE bisects GDH to form GDE and EDH.
Thus, we have;
8x - 1 = 6x + 15
x = 8
Putting 8 for x, both angles are equal to 57°.
Since ∠CDF = 43 and ∠GDE = 63° and ∠CDE ∠ 180° in total.
∠FDG = 180° - 43° - 63° = 74°
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What is the sum of -1+(-3)
Answers
Answer:
-4
Step-by-step explanation:
-1+(-3)
-1-3 = -4
What is the surface area, in cm^2, of the figure shown above?
Answers
Answer:
188 cm^2.
Step-by-step explanation:
This consists of 3 pairs of rectangles
= 2 * 4*7 + 2 * 4*6 + 2 * 6*7
= 56 + 48 + 84
= 188.
Is 5.787787778... a rational or irrational number?
Answers
Answer:
irrational
Step-by-step explanation:
Answer:
Irrational
Step-by-step explanation:
Amanda, Betty, Cindy, Diana, and Emily share 35 balloons. How many balloons does each girl get?
Answers
Answer:
Not being mean but you are in collage you should know this but here is the answer
Step-by-step explanation:
7 balloons to each girls because 7 times 5 = 35
Answer:
7 ballons
Step-by-step explanation:
Five girls =>35 :5 =7 balloons each girl
PLEASE HELP 20+ POINTS I WILL MARK BRAINLIEST
Answers
Answer:
Step-by-step explanation:
The two interior angles on the left that are not connected to A add up to A.
80 + 60 = 140
The other way to do this is to realize that A and 40 are supplementary (they add up to 180).
40 + A = 180 Subtract 40 from both sides
A = 180 - 40
A = 140
Find the value of x in each case:
QUICKLY PLEASE
Answers
Answer:
for 2nd figure answer is 18
Step-by-step explanation:
4x+6x=180°(Being co-interior angle)
or,10x=180°
or,x=180°/10
or,x=18
Answer:
image 1 ---- x = 11
image 2 ---- x = 22.5
Step-by-step explanation:
Image 1finding the value at EFB
180 - 147 = 33 degrees
since DEBC is a "Z" angle means that the value at DEB and EBC is the same value of 4x.
therefore :
FEB = 180 - 4x
therefore to find x
NB : total value of triangle is 180 degrees
180 = 33 + (180-4x) +x
180 = 33 + 180 -4x + x
180 = 213 -3x
make x the subject of formula
180-213 = -3x
-33 = -3x
x = -33/-3
x = 11
Image 2DEA = BAE
therefore BAE = 2x
DEB = 180 - 4x
ABE = 180 - 6x
NB : total value of triangle is 180 degrees
180 = 2x + (180- 4x) + (180 - 6x)
180 = 2x + 180 - 4x +180 - 6x
180 = -8x + 360
-180 = -8x
x = 22.5
Divide (x3 + 3x2 + 16x + 48) by (x + 3)
A) x - 16
B) x + 16
C) x2 - 16
D) x2 + 16
Divide (x2 + x - 6) by (x + 3).
A) x - 2
B) x + 3
C) x - 3
D) x + 2
please explaine how you got it thank you so much.
Answers
Answer:
D) x² + 16
A) x − 2
Step-by-step explanation:
(x³ + 3x² + 16x + 48) / (x + 3)
Use grouping:
(x² (x + 3) + 16 (x + 3)) / (x + 3)
Divide:
x² + 16
(x² + x − 6) / (x + 3)
Factor:
(x + 3) (x − 2) / (x + 3)
Divide:
x − 2
Joan sewed 115 fabric squares for her new quilt. Each fabric square was 12 inches by 12 inches. If no fabric square was cut or folded, which statement describes the largest square quilt Joan could make? Group of answer choices 1.Joan has too many squares for a 9-foot-by-9-foot quilt and not enough squares for a 10-footby-10-foot quilt. 2.Joan has too many squares for a 10-foot-by-10-foot quilt and not enough squares for an 11- foot-by-11-foot quilt. 3.Joan has too many squares for an 11-foot-by-11-foot quilt and not enough squares for a 12- foot-by-12-foot quilt. 4.Joan has too many squares for a 12-foot-by-12-foot quilt and not enough squares for a 13-footby-13-foot quilt.
Answers
Answer:
Answer 3 I believe I'm not totally sure sorry but I'm 76% sure it is 3.
The points Q, R, S and T all lie on the same line segment, in that order, such that the ratio of Q R : R S : S T QR:RS:ST is equal to 6 : 3 : 1. 6:3:1. If Q T = 10 , QT=10, find R S . RS.
Answers
RS = 3?
I will draw a diagram because its easier that way. If QS = 9 since 6 + 3 = 9 and QR = 6 then RS = 3 since 9 - 6 = 3.
Help please I want to know how to solve for d
Answers
Answer:
Both the given angles are Vertically opposite and hence equal
So,
5d + 7 = 6d - 4
7 + 4 = 6d -5d
11 = d
What is the measure of the of the sector shaded above?
Answers
The area of the shaded sector is 64.1 centimetres squared.
How to find the area of a sector?The area of a sector can be represented as follows:
area of a sector = ∅ / 360 × πr²
where
r = radius∅ = central angleTherefore, the central angle is equals to the arc angle.
∅ = 150 degrees
r = 7 cm
area of the shaded sector = 150 / 360 × 3.14 × 7²
area of the shaded sector = 150 / 360 × 3.14 × 49
area of the shaded sector = 23079 / 360
area of the shaded sector = 64.1083333333
area of the shaded sector = 64.1 cm³
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The measure of the sector shaded is 64.1 cm²
How to find the measure of the sector shaded?The sector of a circle is the part enclosed by two radii and the included arc of a circle.
The area of a sector is given by the formula:
A = θ/360 * πr²
where r is the radius of the circle and θ is angle subtended by the sector
In this case, we have:
θ = 150° and r = 7 cm
A = θ/360 * πr²
A = 150/360 * 3.14 * 7²
A = 64.1 cm²
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POSSIBLE POINTS: 14.29
In a factory there are three machines, A, B and C. When all three machines are working, the produce 287 bolts per hour. When only machines A and Care
working, they produce 197 bolts per hour. When only machines A and B are working, the produce 202 bolts per hour. How many bolts can each machine
produce per hour?
A=
B =
C =
Answers
Answer:
A = 112 , C = 85 , B = 90
Step-by-step explanation:
A + B + C = 287
A + C = 197
A + B = 202
C = 197 - A
B = 202 - A
A + 202 - A + 197 - A = 287
A = 112
C = 85
B = 90
Machine A, B and C can produce 112, 90 and 85 bolts per hour.
What is per hour ?Per hour defines 1 hour.When ever you see the word per second, per day means in 1 sec, 1 day.
According to the given question In a factory there are three machines, A, B and C.
When all three machines are working they can produce 287 bolts per hour.
∴ A + B + C = 287...(i)
When only A and C are working, they produce 197 bolts per hour.
∴ A + C = 197...(ii)
When only machines A and B are working, the produce 202 bolts per hour.
∴ A + B = 202...(iii)
Subtracting (ii) from (i) we get
B = 90.
Putting the value of B in (iii) we get
A = 112.
And putting value of A in (ii) we get '
C = 85.
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can you help me with this please and thanks in advance
Answers
Answer: all are congruent, sorry, don't completely remember this but I tried
Step-by-step explanation:
Simplify the following expression: (−3)(−2)( −2) (1 point) −12 12 −18 18
Answers
Answer:
-12
Step-by-step explanation:
(−3)(−2)( −2)
-3 * -2 = +6
+6 (-2)
Positive times negative is negative
-12
What is the interest earned on $620 at a rate of 3% for one year. Please help!
Answers
Answer:
$18.6 interest
Step-by-step explanation:
3% of 620=
(3x620)/100=18.6
Answer:
$18.60
Step-by-step explanation:
3% = 0.03
$620 x 0.03 = $18.60Answer: $18.60
If requested total:
$620 x 1.03 = $638.6Answer: $638.6
