A map is drawn to a scale of 1 : 240 000.
(i) If a seawater lake has an area of 3.8 cm² on the map, find its actual area in square kilometres.
(ii) If the actual area of a plot of land is 2 908 800 m², calculate its area on the map.
Answers
Step-by-step explanation:
Above are the explanations
A map is drawn on a scale of 1: 240 000.
(i) Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]
(ii) Area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].
How to estimate the area on the map?(i) 1 cm: 240000 cm = 1 cm: 2.4km
Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2.4^{2} \mathrm{~km}^{2}$[/tex]
[tex]$=1 \mathrm{cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]
[tex]$1 \mathrm{~cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]
[tex]$3.8 \mathrm{~cm}^{2}: 21.888 \mathrm{~km}^{2}$[/tex]
Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]
[tex]$=21.9 \mathrm{~km}^{2}[/tex]
(ii) 1 cm: 240000 cm = 1 cm: 2400 m
Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2400^{2} \mathrm{~m}^{2}$[/tex]
[tex]$=1 \mathrm{~cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]
[tex]$1cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]
[tex]$0.505 \mathrm{~cm}^{2} ; 2108800 \mathrm{~m}^{2}$[/tex]
The area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].
To learn more about the area on the map
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Related Questions
Help!!
I need help with my math!!
Answers
Answer:
5
Step-by-step explanation:
12 - 7 = 5
Using Pythagoras Theorem
Hyp² = Adjacent² + Opp²
13² = d² = 12²
d² = 13² - 12²
d² = 169 - 144
d² = 25
d = √25
d = 5
The correct answer is 5, OPTION C IS CORRECT
PLEaseeee HELP MEEE I beg pleaseee I think I got this wrong please correct me.
Answers
Answer:
its 7.2
find the distance using the formula
square root ((y2-y1)^2+(x2-x1)^2)
hope that answers your question.
comment for more explanation
So sorry I really need help
Answers
Answer:
(2 x 2 x 2) x (0.03125)
Step-by-step explanation:
Simplify the expression 2x(4 + x - 9 + 3x)
A. 8x - 10
B. -2x²
C. -10x²
D. 8x² - 10
E. 8x² - 10x
Answers
Answer:
E. 8x² - 10x
Step-by-step explanation:
4+x-9+3x
=x+3x+4-9
=4x+4-9
=4x-5
=2x(4x-5)
=8x² - 10x
Can anyone please help?
Answers
Answer:
see below
Step-by-step explanation:
<4 and <7 are same side interior angles since they are on the same side of the transversal p and between parallel lines m and n
<4 and <12 are corresponding angles since they are on the same side of the parallel lines p and t and on the same side of the transversal m
<14 and <7 are alternate interior angles since they are between the parallel lines p and t and are on opposite sides of the transversal n
<4 and <1 are vertical angles since they are formed by the same lines and share a vertex and are opposite each other
Answer:
<4 and <7 are same side interior angles since they are on the same side of the transversal p and between parallel lines m and n
<4 and <12 are corresponding angles since they are on the same side of the parallel lines p and t and on the same side of the transversal m
<14 and <7 are alternate interior angles since they are between the parallel lines p and t and are on opposite sides of the transversal n
<4 and <1 are vertical angles since they are formed by the same lines and share a vertex and are opposite each other
Step-by-step explanation:
The table below shows the number of cruise ships in a harbor on various days.
(table pic attached)
a. Write an expression for the total number of cruise ships in the harbor on Monday and Tuesday.
b. Write an expression for the total number of cruise ships in the harbor on all 5 days.
Answers
part b is 7x+2 because you add all equations together
If f(x) = -3x - 2
find f(-2) + 9
Answers
Answer:
f(-2) + 9 is 19
Step-by-step explanation:
[tex]f(x) = - 3x - 2[/tex]
when x is -9:
[tex]f( - 2) = - 3( - 2) - 2 \\ f( - 2) = 10[/tex]
sum up with 9, f(-2)+9:
[tex]f( - 2) + 9 = 10 + 9 \\ = 19[/tex]
I know how to find the distance of two coordinates but not three could someone help me on this??
Answers
12 units
Step-by-step explanation:
Step 1. Find the distance between R(-1, 4) and S(5, 4)
Answer: 6
Reason: from -1 to 5, it’s 6 units.
Step 2. Find the distance between S(5, 4) and T(5, -2)
Answer: 6
Reason: from -2 to 4, it’s 6 units
Step 3. Add the distance between R to S and S to T.
Answer: 12 units
Reason: R to S = 6 units. S to T = 6 units.
6 + 6 = 12 units
help pls :( I only need one question to pass
Answers
Answer:
The 3rd semi-circle equals 31.
Step-by-step explanation:
Since the Pythagorean Theorem states that "The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c)," we can find the answer of the 3rd semi-circle by finding the sum of each of the 2 smaller semi-circles and adding them together.
The answers plzzz I need help
Answers
Whats the answer to the question...
Answers
Answer:
first graph equation is (0,5)
second graph equation is(-6,0)
Find the radius, diameter, circumference and the approximate area for the circle in the image attached. To find the approximate area, please use 3.14 for π. SHOW WORK!
Answers
Diameter: 3cm * 2 = 6cm —> the diameter is a straight line between one end of the circle to the other end through the midpoint. All you have to do is multiply the radius by 2!
Circumference: π • d —> 3.14 • 6 = 18.84cm —> the circumference of a circle is the measurement of the outline
Area: πr^2 = 3.14 • 3^2 = 3.14 • 9 = 28.26cm^2 —> the area is the entire circle!
Hope it helps !
Rewrite using a negative exponent.
1/3^2
Answers
Answer:
1/9 or 3^-2
Step-by-step explanation:
Ignore the value of 1/3 for now and just focus on the 3^2.
Find 3^2:
3*3 = 9
Now 9 is the denominator, therefore our answer would be 1/9 once you reassemble the fraction.
Because 1/9 is our new fraction, we can use a negative exponent to create the same result. This is because the negative exponent rule tells us that a number with a negative exponent should be put to the denominator. Therefore we can then use 3^-2.
Answer:
3^-2
Step-by-step explanation:
Please help me fast! I will give brainly
This is the question,
YOU BE THE TEACHER Your friend says that because of the order of operations, the expressions are equivalent. Is your friend correct?
10-(5x2)+7 or 10-5x2+7
Yes or No
And Explain the answer
Answers
Answer:
He's correct.
Step-by-step explanation:
As long as there is no change in sign of the variables.
Please help me with this question. Please, this is due today. Helppppp meeee
Answers
Answer:
6by6by8
Step-by-step explanation:
Answer:
6m
6m
8m
Step-by-step explanation:
calm down ...
don't let a strange problem description overwhelm you right away.
always try to work with the things you know first. and only when you run into something you really don't know, start thinking.
so, perimeter.
your know, what a perimeter is ? it is the circumference. all the side lengths added together. the answer to "how much distance would you have to go, to walk all the way around it one time".
so, what is the circumference of the square based on what we know ?
well, it has 4 equal sides, right ? otherwise it would not be a square.
so, the perimeter is 4×(x+2) = 4x + 8
that is perfectly fine.
now to the next part we know.
the perimeter of the triangle is the sum of its 3 sides (otherwise it would not be a triangle).
an isoceles triangle is a special triangle that has 2 equal sides.
so, we actually know all 3 sides (at least relatively) :
x+3
x+5
and ... another
x+3 (because of the isoceles property)
so, the perimeter is
x + 3 + x + 3 + x + 5 = 3x + 11
alright.
and now we also know that both perimeters are of equal length.
what did that mean ?
that both expressions deliver the same result.
therefore,
4x + 8 = 3x + 11
aha !
x = 3
bingo !
therefore, the side lengths of the triangle are
x+3 = 3+3 = 6 (both sides in the top)
x+5 = 3+5 = 8
and that's all there is to it.
it is really not necessary to panic don't you think ?
Find the area of each figure. Round to the nearest tenth if necessary.
Answers
Shape 1: TRIANGLE
Formula: A = 1/2 x bh
1/2 x (10)(5) = 25
AREA: 25 square yards
Shape 2: RECTANGLE
Formula: A = lw
(12)(10) = 120
AREA: 120 square yards
Sum (ADD)
25 yd^2 + 120 yd^2 = 145 yd^2
The area of the composite figure is 145 yd^2
the formula for triangles is a =1/2 x bh
5x10 = 50
50 x 1/2= 25
So the area for shape 1 is 25.
Shape two / rectangle :
the formula for quadrilaterals is a = bh
12 x 10 = 120
so the area of shape 2 is 120
Are the ratios 5:4 and 8:2 equivalent? yes or no
Answers
Answer:
no
Step-by-step explanation:
no its no
Answer:
I believe no
Step-by-step explanation:
I believe it is no but I could be wrong...if I am wrong I am very sorry and hope you can forgive me
Please Help Me! I will give brainly!!
The distance from your front door to the mailbox is 18 4/5 meters. The distance from your front door to your basketball hoop is 13 7/10 meters. How much farther from your front door is the mailbox than the basketball hoop?
Answers
Answer:
5 1/10 meters
Step-by-step explanation:
18 4/5 can be changed to 18 8/10 so
18 8/10 - 13 7/10 = 5 1/10 meters
A coordinate grid with 4 lines. Line A passes through (0, 5) and (4, 3.75). Line B passes through (3.75, 0) and (0, negative 5). Line C passes through (0, negative 5) and (negative 3.75, 0). Line D passes through (negative 3.75, 0) and (0, 5).
Which line represents the linear equation
–3y = 15 – 4x?
The equation –3y = 15 – 4x rewritten in slope-intercept form is
Answers
Answer:
C
Step-by-step explanation:
im pretty sure
Answer:
9
Step-by-step explanation:
3. Solve for m:
-5m + 3 - 2m = -7m + 4 + m
1
m
12
m =
la
m = -1
m = 1
Answers
-1=m
Answer:
m=-1
-5m -2m +7m -m = -3 +4
-m = 1
m = 1
A square of 81cm² is cut to make two rectangles, A and B
The ratio of area A to are B is 2:3
Work out the dimensions of A and B
Answers
Answer:
Length of A: 9
Width of A: 6
Length of B: 9
Width of B: 3
Step-by-step explanation:
If you look at the diagram, you can see that the length of rectangles A and B are the same, and are also the same as they were in the original square. We can find the length of each side by finding the square root of the area of the square to give us the length and width of the square which is 9. Now that we know that the length of both rectangles A and B, we can find the width of both rectangles by taking 9, and splitting it into 3 portions of 3. Since the ratio of area is 2:1, we could also do this with the area, but since we know the lengths are the same, we know the widths are proportional to the area. Using the ratio of 2:1, and the 3 portions of 3, you can combine 2 of these portions to get 6, and since the ratio 6:3 is proportional to 2:1, these measurements can be used as the width of each rectangle. Thus, the answer given above.
Answer:
Length of A: 9
Width of A: 6
Length of B: 9
Width of B: 3
Step-by-step explanation:
I really need help with this question please!
Answers
Answer:
y = -2x+7
Step-by-step explanation:
The slope intercept form of an equation is
y = mx+b where m is the slope and b is the y intercept
y = -2x +b
Substitute the point into the equation and solve for b
5 = -2(1)+b
5 = -2+b
Add 2 to each side
5+2 = -2+b+2
7=b
y = -2x+7
Express each of the following decimals as a percentage
1.35
solution for class 7
Answers
Answer:
135%
Step-by-step explanation:
To represent a decimal to percentage, multiply by 100
1.35 x 100 = 135
If my answer is incorrect, pls correct me!
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-Chetan K
