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.
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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One-quarter of the top of a round wedding cake is covered in yellow roses. The top of the wedding cake has a diameter of 12 inches. Each yellow rose covers an area of 0.75 square inch. About how many roses were used to cover this section of the cake?
PLZ ANSWER QUICKLY AND ACCURATLY WILL MARK BRAINLIEST
Answer:
I believe the answer to your question is 38.
Step-by-step explanation:
Here is what I did: First, I found the radius, and to do that, I did 12 divided by 2, which gave me 6. then I did 6 divided by 2, to find the radius, of the radius I just found. which gave me 3, then I did 3 times 12, which gave me 36, so the answer should be 38 :)
Answer:
8
Step-by-step explanation:
Step by step on how to do this plz
Answer:
a=8/3
Step-by-step explanation:
(-1/8)a=(5/8)a-2
2=((5/8)+(1/8))a
a=8/3
Step-by-step explanation:
hope this is helpful please
Ruth bought cupcakes for her sister's birthday party. 14 cupcakes had sprinkles on top. The other 21 cupcakes did not have sprinkles. What percentage of the cupcakes had sprinkles?
Answer:
40%
Step-by-step explanation:
total cupcakes: 14+21 = 35
Percentage with sprinkles = sprinkles / total
= 14/35
=.4
= 40 %
Answer:
40%
Step-by-step explanation:
14 + 21 = 35
14/35 × 100 = 40
Therefore 40% of the cupcakes had sprinkles
Club members wrote a program together, with several people working on each of 4 parts. If the first part of the program required 1/3 of the total time, the second part needed 1/2 of the remaining time, the third part took 30 minutes, and the fourth part took 60 minutes, how many hours did the program take to write?
Answer:
Step-by-step explanation:
4 parts: 1/3 + 1/2 + 30min + 60min
1/3 of an hour is = 20 minutes
1/2 of an hour is 30 minutes
20 + 30 + 30 + 60(1h)= 140 minutes = 2 hours and 20 minutes
The total time did the program take to write is 2 hours and 20 minutes.
It is required to find total time.
What is arithmetic?The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.
Given that:
several people working on each of 4 parts.
First part = 1/3 of the total time,
The second part = 1/2 of the remaining time,
The third part =30 minutes,
Fourth part= 60 minutes,
So, the total time in hour.
4 parts:
1/3 of an hour is = 20 minutes
1/2 of an hour is 30 minutes
Total time=1/3 + 1/2 + 30min + 60min
=20 + 30 + 30 + 60(1h)
= 140 minutes
= 2 hours and 20 minutes.
So, the total time did the program take to write is 2 hours and 20 minutes.
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If h(x) = x2-5x + 7 find:
⅓ h(-8)
Answer:
[tex]\displaystyle \frac{1}{3} h(-8) = 37[/tex]
Step-by-step explanation:
Hi there!
[tex]h(x) = x^2-5x + 7[/tex]
First, find h(-8) by replacing all of [tex]x[/tex] with -8:
[tex]h(-8) = (-8)^2-5(-8) + 7\\h(-8) = 64+40 + 7\\h(-8) = 111[/tex]
Now, find ⅓ h(-8) by multiplying the entire expression by ⅓:
[tex]\displaystyle \frac{1}{3} h(-8) = 111 * \frac{1}{3} \\\\\displaystyle \frac{1}{3} h(-8) = 37[/tex]
I hope this helps!
PLEaseeee HELP MEEE I beg pleaseee I think I got this wrong please correct me.
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
does anyone on here use FLVS?? If so can u help with comprehensive science 5.06 conclusion part?
Modeling Real Life
Question:
At a town hall meeting, 37/50 of the members are present. Of those who are present, 1/2 vote in favor of a new park. What fraction of the members do not vote in favor of the new park?
Fraction:_______
Plz Help me Asap. And explain
Answer:
n=(1/6) or n=-5/2
Step-by-step explanation:
|6n+7|=8
6n+7=8 or 6n+7=-8
6n=1 or 6n=-15
n=(1/6) or n=-5/2
Which of the following information about the graph of the relationship is given?
The answers plzzz I need help
which numbers round to 40 when rounding to 10s?
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.
HEEEEELLLLLLPPPPPPPPOP
4(x-8) = 4x-4*8
= 4x - 32
Answer:
4(x-8) = 4x-4*8
= 4x - 32
Step-by-step explanation:
Help a girl out?
17 - 12m = -11(m-2)
Answer:
-5 = m
Step-by-step explanation:
17 - 12m = -11(m-2)
Distribute
17 -12m = -11m +22
Add 12m to each side
17 -12m+12m = -11m+22+12m
17 = m+22
Subtract 22 from each side
17 -22 = m+22-22
-5 = m
[tex]\underline{\sf \: 17 - 12m = -11(m-2)}[/tex]
Use the distributive property to multiply -11 by m-2.
17 - 12m = - 11m + 22
Add 11m to both sides.
17 - 12m + 11m = 22
Combine -12m and 11m to get -m.
17 - m = 22
Subtract 17 from both sides.
- m = 22 - 17
Subtract 17 from 22 to get 5.
- m = 5
Multiply both sides by -1.
[tex]\large\boxed{\underline{\bf \: m = -5}}[/tex]
Hope it helps.
RainbowSalt2222
If f(x) = -3x - 2
find f(-7)
Answer:
19
Step-by-step explanation:
this question means you have to place the value of -7 were there's x in the function.
f(-7)=-3(-7)-2
=21-2
=19
I hope this helps
simplify
3sin 0+ 2sin 0- 4sin0+ 5sin0
step by step
Answer:
0
Step-by-step explanation:
3x0+2x0-4x0+5x0
0
HELP this stem and leaf plot represents test scores of students in a math class if two test score 68 and 75 are added to the data which statement will be true
Answer:
Option A) The Median will change; the mode will stay the same
Step-by-step explanation:
Just did the Test on T4L and got it right :) Hope this helped (Pls mark me as brainliest)
Write an equation to represent each function.
(image attached)
The graph of a sinusoidal function intersects its midline at (0, -7) and then has a minimum point at (pi/4, -9)
Answer:
I don't know if you have any questions or need any further information please contact me at the sun with the sun with the sun with the sun
Find the area of each figure. Round to the nearest tenth if necessary.
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
Write an equation to represent the following statement.
33 is 15 less than k.
Solve for k.
33 is fifteen less than k
---"Is" can be a key word in this statement, meaning equals
33 = k - 15
k = 48
Hope this helps!
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!
Integrate the following. ∫[tex]5x^{4} dx[/tex]
Option A: [tex]x^{5}[/tex]
Option B: [tex]5x^{5} +C[/tex]
Option C:[tex]5x^{5}[/tex]
Option D: [tex]x^{5} + C[/tex]
Answer:
[tex] \displaystyle D) {x}^{5} + \rm C[/tex]
Step-by-step explanation:
we would like to integrate the following Integral:
[tex] \displaystyle \int 5 {x}^{4} \, dx [/tex]
well, to get the constant we can consider the following Integration rule:
[tex] \displaystyle \int c{x} ^{n} \, dx = c\int {x}^{n} \, dx[/tex]
therefore,
[tex] \displaystyle 5\int {x}^{4} \, dx [/tex]
recall exponent integration rule:
[tex] \displaystyle \int {x} ^{n} \, dx = \frac{ {x}^{n + 1} }{n + 1} [/tex]
so let,
[tex]n = 4[/tex]Thus integrate:
[tex] \displaystyle = 5\left( \frac{ {x}^{4+ 1} }{4 + 1} \right)[/tex]
simplify addition:
[tex] \displaystyle = 5\left( \frac{ {x}^{5} }{5} \right)[/tex]
reduce fraction:
[tex] \displaystyle = {x}^{5} [/tex]
finally we of course have to add the constant of integration:
[tex] \displaystyle \boxed{ {x}^{5} + \rm C}[/tex]
hence,
our answer is D)
i need help with this question.
Candy counted to 600 by 6's, beginning with 6. Danny counted to 600 by 4's beginning with 4. How many the numbers that candy counted were also counted by Danny?
Step-by-step explanation:
If we count for both numbers up to 36, we start seeing a pattern...
Candy: 6 12 18 24 30 36
Danny: 4 8 12 16 20 24 28 32 36
Every other number in Candy's counting is also counted by Danny. So here's what we'll do:
Divide 600 by 6600/6 = 100
This is how many numbers Candy counted overall.
Divide the result by 2.100/2 = 50
This is how many numbers Danny counted that were also numbers Candy counted.
Answer:
50 of the numbers that candy counted were also counted by Danny.
Answer:
50
Step-by-step explanation:
Please help me I need this so I can get off my computer it's so late rn
Answer: 45 units
Step-by-step explanation:
Find the coordinates of R and S
R = -25
S = 20
Then just subtract them to find the distance between them.
20 - (-25) = 45.
Answer:
45
Step-by-step explanation:
First, find out the specific locations of R and S: for R, it is-25, and for S, it is 20 (use the tick marks on the x-axis).
Next, to find out the distance between R and S, be sure to add the absolute value, rather than the actual numbers.
So, ∣R∣ + ∣S∣ = 25 + 20 = 45
Hope this helps and let me know if you have any more questions!
Choose a number line to model the following situation:
After a gain of 25 yards, the football team lost 25 yards on the next play.
Answer:
Attached below
Step-by-step explanation:
Starting value = 0
Gain +25 = 0 + 25 = 25
Loss = 25 +(-25) = 0
Start = 0 and End = 0
This one :
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Step-by-step explanation:
If they gained 25 yards they move up 25 on the number line, if they lost 25 yards after that they move back to having 0 yards
the only graph that models this is:
Plsss helppp! I will give brainliest!! (13 points!)
Answer:
The model goes Left 4 times, and Up 2 times.
Answer:
start at the origion of 0,0, then go right 4 units, and up 2 units if i am not mistaken
Step-by-step explanation:
Please help me asap! I will give brainly!
Answer:
Water (cups): 14, 28, 42, 56, 70
Lemon Juice (cups): 2, 4, 6, 8, 10
Divide the number of cups of water by 7 to find the number of cups of lemon juice.
Answer:
See photo
Step-by-step explanation:
Completing the rule:
With the water, you add 14 each time. They started at 14 and added another 14 to get 28. Then you add 14 to 28 and get 42, and so on.
with the lemon juice, it’s very similar except you’re adding 2 each time. They started at 2 and added another 2 to get 4. Then you add 2 and get 6, and so on.
The final question:
This last blank is asking what number you divide the water by to get the lemon juice. If we use fact families, you can take the 14 (from water) and divide it by 2 (from lemon juice) to find that 7 is you missing number. You’ll then be able to plug 7 in to the following numbers. 28 divided by 4 is 7, 42 divided by 7 is 6, etc.
