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Related Questions
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.
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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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I really need help with this question please!
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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
A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.
What is the total distance the monkey has traveled when she completes her 25th swing? Round your final answer to the nearest meter.
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The total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have:
A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.
In first swing = 10 m
In second swing = (9/10)10 m = 9 m
In the second swing = (9/10)9 =81/10
10, 9, 81/10,..
This is the geometric sequence with the first term being 10 and the common ratio being 9/10.
a = 10
r = 9/10
The sum of geometric sequence up to 25th terms:
S = a(1 - rⁿ)/(1 - r)
S = 10(1 - (9/10)²⁵)/(1 - 9/10)
S = 92.82 m
Thus, the total distance the monkey has traveled when she completes her 25th swing is 92.82 m if the monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.
Learn more about the sequence here:
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5. Rectangle ABCD is graphed in the coordinate plane. The following are vertices of the rectangle: A(-1,-6), B(-1,-7), C(1,7), and D(1,-6). Given these coordinates, what is the length of side AB in this triangle? On the lines below, provide the length of the side as well as your reasoning for how you arrived at your answer.
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Answer:
The legnth of side AB would be 3 units
Step-by-step explanation:
First, you would determine that both point A and point B would have the same y-coordinate of 1. Then you would determine the difference between the x values of points A and B. Since 5 (the x-value for B) minus 2 (the x-value for A) is 3, the legnth of side AB would be 3 units.
Simplify the expression 2x(4 + x - 9 + 3x)
A. 8x - 10
B. -2x²
C. -10x²
D. 8x² - 10
E. 8x² - 10x
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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
which numbers round to 40 when rounding to 10s?
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Answer:
35, 36, 37, 38, 39, 41, 42, 43 and 44
Step-by-step explanation:
Everything above 5 rounds upwards, and all numvers below 5 rounds down. So 34 and down will be rounded to 30, and that's what happens with 44, 43, 42, and 41.
Express each of the following decimals as a percentage
1.35
solution for class 7
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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!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
help pls :( I only need one question to pass
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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.
Whats the answer to the question...
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Answer:
first graph equation is (0,5)
second graph equation is(-6,0)
Find the area of each figure. Round to the nearest tenth if necessary.
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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
What is the coefficient of the j term in the polynomial negative 8j^ 2 + 7j - 6?
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Answer:
7 is the coefficient
A coefficient is a number before a variable.
For example, in 7j, 7 is the coefficient:)
Step-by-step explanation:
please hlep me its ixl
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Answer:
D
Step-by-step explanation:
D is the answer I did the math.
Hope this helps!
Answer:
d
Step-by-step explanation:
Rewrite using a negative exponent.
1/3^2
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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:
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
3. Solve for m:
-5m + 3 - 2m = -7m + 4 + m
1
m
12
m =
la
m = -1
m = 1
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-1=m
Answer:
m=-1
-5m -2m +7m -m = -3 +4
-m = 1
m = 1
Please help ASAP!!!!! I would really appreciate it
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Answer:
(-2,-5)
Step-by-step explanation:
Because his house is in the same quadrant as the city park (quadrant 3) the answer's coordinates will have x=a negative number and y= a negative number. So, the answer will be (-2,-5).
Hope this helps!
explain how to find the difference between 9^10/9^11 and 9^11/9^10
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Answer:
jhv
Step-by-step explanation:
kjbb
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
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Answer:
C
Step-by-step explanation:
im pretty sure
Answer:
9
Step-by-step explanation:
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!
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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 !
So sorry I really need help
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Answer:
(2 x 2 x 2) x (0.03125)
Step-by-step explanation:
The answers plzzz I need help
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PLEaseeee HELP MEEE I beg pleaseee I think I got this wrong please correct me.
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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
Can anyone please help?
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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:
