Sammy finds satellite images of a school and a museum. They put the images on a coordinate grid (shown
below).
School
Coordinate values are in meters.
Compare the area of the school and the museum.
Answers
Answer:
c
Step-by-step explanation:
ka
The area of the school is about 827 m² less than the area of the museum.
What is area?Area is the amount of area occupied by an object's flat (2-D) surface or shape.
Given:
Sammy finds satellite images of a school and a museum. They put the images on a coordinate grid (shown below).
School coordinate values are in meters.
To find the area of the school:
The school is rectangular.
Area of the rectangle = length x width
To find the length,
use distance formula.
We interpreted coordinates,
Fort length (-20, 20) and (-40, 80)
For width (-50, 10) and (80, -20)
Distance of length = √(60)²+(-20)² = 20√10
Distance of width = √(30)²+(10)² = 10√10
Area of the rectangle = length x width
Area of the rectangle = 20√10 x 10√10 = 2000 m²
The area of the museum is πr².
And r = 30
The area of the museum = π(30)². ≈ 2827 m².
Subtracting the area's = 827 m².
Therefore, the area of the school is about 827 m² less than the area of the museum.
To learn more about the area;
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Related Questions
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answers
Answer:
(2, 5)
Step-by-step explanation:
(x,y) -> )- y,x)
Mr. G's pet cat can travel 10 meters in 20 seconds. How many meters can the cat travel in 1 second? Write your answer as a ratio.
Answers
Answer:
0.5 meters a second or 0.5:1
Step-by-step explanation:
10 meters ÷ 20
_______________
20 seconds ÷ 20
=
0.5 meters
_______________
1 second
Using complete sentences, explain the key features of the graph of the cosine function. (10 points)
Answers
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
Which inequality is true? QUICK WHOEVER GETS IT GETS BRAINLIES or however you spell it
Answers
Answer:
D is correct
Step-by-step explanation:
as negatives grow bigger, the amount is smaller. Like if u owe somone $20, but u ask them for another $5, the number would be = -$25. so -3 1/2 is greater than -4.5
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. They would like the estimate to have a maximum error of 0.14 gallons. A previous study found that for an average family the variance is 1.69 gallons and the mean is 15.9 gallons per day. If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water? Round your answer up to the next integer.
Answers
Answer:
A sample of 179 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.85}{2} = 0.075[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.075 = 0.925[/tex], so Z = 1.44.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
A previous study found that for an average family the variance is 1.69 gallon?
This means that [tex]\sigma = \sqrt{1.69} = 1.3[/tex]
If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?
A sample of n is needed, and n is found for M = 0.14. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.14 = 1.44\frac{1.3}{\sqrt{n}}[/tex]
[tex]0.14\sqrt{n} = 1.44*1.3[/tex]
[tex]\sqrt{n} = \frac{1.44*1.3}{0.14}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2[/tex]
[tex]n = 178.8[/tex]
Rounding up
A sample of 179 is needed.
I don’t understand this...I’ve tried reading for answers, but this question stumps me. Please help!
Answers
Answer:
x=1, y=-5
Step-by-step explanation:
4(1)+2y=-6
2y=-10
y=-5
or
-3x-2(-5)=7
-3x=-3
x=1
Hope this helps!
Why? I did the math for you! Start in the top left corner and follow the arrows
Solve 4r2 – 5 = 59
{± 3}
{± 4}
{± 5}
{±6}
Answers
9514 1404 393
Answer:
(b) ±4
Step-by-step explanation:
4r^2 -5 = 59 . . . . given
4r^2 = 64 . . . . . . . add 5
r^2 = 16 . . . . . . . . . divide by 4
r = ±4 . . . . . . . . . . . take the square root
If Paul saves $3.00 every week for twelve weeks and then buys a CD for $15.00 plus 9% tax, how much money will he have left?
Answers
Answer:
18.90
Step-by-step explanation:
3x12=36
36-15=21
21 x 0.9
Answer:
$19.65
Step-by-step explanation:
12*3=36
15*.09=1.35
15+1.35=16.35
36-16.35=$19.65
Which of the following is √80 simplified?
Answers
2y_
Ga “5-6”(5)
On a super clearance sale, bathing suits were marked 85% off. What is
the sale price of a bathing suit that was originally priced $60?
Answers
Answer: $9
Step-by-step explanation: 85% off means when you multiply the number by 0.85 you subtract that from the original number, 60 times 0.85 is 51 and 60-51=9! Hope this helps!
what is the remainder when the polynomial f(x) = x³ - x² + 3x - 2, is divided by 2x - 1
Answers
Answer:
Equate the divisor to 0
2x-1=0
2×=1
×=1/2
Putting onto the polynomial
f(1/2) = (1/2)³-1/2)²+3(1/2)-2
=-5/8
The owner of a pet shop predicts that 10 out of 20 new puppies are male. He randomly selects 10 of the puppies, and notes that all 10 are male. Which of the following conclusions best supports his findings?
Select one:
10 of the puppies are male and 10 are female.
More than 10 of the puppies are male.
All 20 puppies are male.
Less than 10 of the puppies are male.
Answers
Answer:
A, 10 of the new puppies are male and 10 are female
Step-by-step explanation:
Really this is the one that makes the most since because if 10 of the puppies are male, then 10 must be female.
Answer: A
Step-by-step explanation:
FREE BRAINLIST NEED HELP ASAP
Answers
Answer:
C. 904.78 cubic inches
Step-by-step explanation:
The volume of a cylinder = πr²h
=π(6²)(8)
=288π
=904.778684234 in³
●10 Kate is reading a 500-page book. The graph below represents the relationship between the
number of hours Kate has spent reading and the number of pages she has read.
Kate’s
rate
0 1
50
2
100
3
150
200
4 5
250
6
300
350
400
450
x
y
Reading Rate
Number of Pa
ges Read
Time (in hours)
(5, 200)
On the grid in your Student Answer Booklet, copy the x-axis, the y-axis, and the line
representing Kate’s reading rate exactly as shown. Be sure to label the line “Kate’s rate.”
Answers
"200" (and any subsequent words) was ignored because we limit queries to 32 words
Kate is reading 40 pages per hour.
The whole book takes 12.5 hour to complete.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
From the data we have (5, 200) and (5,0)
then slope= (200-0) / 5
= 40
So, Kate is reading 40 pages per hour.
Now, to read the whole book i.e., 500 pages it takes
= 500/40
= 12.5 hours
Learn more about Slope here:
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5. The owners of a two-person business make their decisions independently of each other and then compare their decisions. If they agree, the decision is made; if they do not agree, then further consideration is necessary before a decision is reached. The first owner makes the right decision 60% of the time; the second - 70% of the time. Enter your answers as decimals. 5(a) What is the probability that they make the right decision on the first try. 5(b) What is the probability that they make the wrong decision on the first try. 5(c) What is the probability that they delay the decision for further study.
Answers
Answer:
A. 0.42
B. 0.12
C. 0.45
Step-by-step explanation:
A. The probability that they make the right decision on the first try
First person = 60%
Second person = 70%
= 60% * 70%
= 0.42
B. Probability that they make wrong decision
= Wrong decision from first person * wrong decision from second person
Wrong decision = 1- right decision
= 1-0.60 * 1-0.70
= 0.40x0.30
= 0.12
3. Probability they delay decision
= 0.60(1-0.60)+0.70(1-0.70)
= 0.60x0.40 + 0.70x0.30
= 0.24+ 0.21
= 0.45
Please help I’m really need the help (NO LINKS ) (NO LYING ) PART 2 again again again
Answers
Answer:
Step-by-step explanation: i wont tell you the answer but ill thell you how to do it,soo the strat is to count where the line is as a different part then u just add em
example 1:41.6
8-4=4x4=16
8x3.2=25.6
16+25.6=41.6
:)
Answer:
A. 15
B. 25.6
C. 41.6
Find the Value of x. I WILL GIVE YOU BRAINLIEST!!!!! +to the person who answers first)
Answers
Answer:
hi
Step-by-step explanation:
5x+10+2x+10+90=180
5x+2x=180-10-10-90
7x=70
x=10
have a nice day
Write an equation in slope-intercept form for the line with slope -8 and y-intercept 8. The. Graph is he line.
Answers
Answer:
y=-8x+8
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
y=-8x+8
recipe calls for 1/3 of a cup of milk for 10 cookies how many cups of milk are needed to make 90 cookies
Answers
Answer:
just multiply by 9 :)
Step-by-step explanation:
Given the points A (-3, -1), B (1, 4) C (4, -1) what is the x coordinate of D, if ABCD is a parallelogram?
Answers
Given:
ABCD is a parallelogram, A(-3,-1), B(1,4), C(4,-1).
To find:
The x-coordinate of point D.
Solution:
Let the point D be (x,y).
We know that the diagonals of a parallelogram bisect each other. So, third midpoints are same.
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
In parallelogram ABCD, AC and BD are two diagonals.
Midpoint of AC = Midpoint of BD
[tex]\left(\dfrac{-3+4}{2},\dfrac{-1+(-1)}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]
[tex]\left(\dfrac{1}{2},\dfrac{-2}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]
[tex]\left(\dfrac{1}{2},-1\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{1}{2}=\dfrac{1+x}{2}[/tex]
[tex]1=1+x[/tex]
[tex]1-1=x[/tex]
[tex]0=x[/tex]
Similarly,
[tex]-1=\dfrac{4+y}{2}[/tex]
[tex]-2=4+y[/tex]
[tex]-2-4=y[/tex]
[tex]-6=y[/tex]
The coordinates of point D are (0,-6).
Therefore, the x-coordinate of point D is 0.
200 miles divided by 8
Answers
Answer:
25
200 divided by 8 is 25.
Step-by-step explanation:
In order to estimate the mean amount of time computer users spend on the internet each month, how many computer users must be surveyed in order to be 95% confident that your sample mean is within 11 minutes of the population mean? Assume that the standard deviation of the population of monthly time spent on the internet is 202 min. The minimum sample size required is_______computer users. (Round UP to the nearest whole number.)
Answers
Answer:
1568
Step-by-step explanation:
The computation of the minimum sample size is shown below:
Given that
Error E = 11
The population standard deviation [tex]\sigma[/tex] =217
Confidence level 1-α = 95%
Now following formula should be used
n > (Zalpha ÷ 2 × sigma ÷ E)^2
As we know that
Zalpha ÷ 2= 1.96
Now the sample size is
n> (1.96 × 202 ÷ 10)^2
= 1568
72 in long and 9 in wide and 6in tall if one of the sandboxes contains 425 cubic in how many bag should she buy
Answers
Answer:
https://concalculator.com/sand-calculator/
Step-by-step explanation:
thats the link to the answer
Solve for the value of r.
Answers
Answer:
14
Step-by-step explanation:
The two given angles are opposite angles and opposite angles always have the same measure. Knowing this, we can construct the following equation:
7r+6=8r-8
Subtract both sides by 6
7r+6-6=8r-8-6
7r=8r-14
Subtract both sides by 8r
7r-8r=8r-14-8r
-r=-14
Divide both sides by -1
r=14
I hope this helps!
Show processes po Pa help po need ko po bukass pleaseeee po.... I BRAINLIEST ko po yung tamang sagot:(
Answers
there's your answer.............
how do you write 16% as a decimal
Answers
Answer:
0.16
Step-by-step explanation:
rewrite 16 percent in the terms of per 100 or over 100.
16% = 16 over 100 or,
16% = 16/100
16 over 100 is the same as 16 divided by 100. So completeing the division we get:
16 ÷ 100 = 0.16
Thus, the answer is 0.16
hope this helps you :)
What is the median of 8,9,10,1,6,4,7,6
Answers
Answer:
The median is 6.5
Step-by-step explanation:
To find the median, first organize the numbers from least to greatest:
1, 4, 6, 6, 7, 8, 9, 10
The median is always the number in the middle, but since there are eight numbers here, there will be two numbers in the middle: 6 and 7.
To solve for this, we have to find the average of the numbers.
Add the two numbers together and then divide by 2 (we divide by 2 because we are averaging two numbers).
(6 + 7)/2
13/2
6.5
Reflect across the x-axis. Then rotate the shape around point B' 120 degrees clockwise.
Answers
9514 1404 393
Answer:
see below
Step-by-step explanation:
Reflection across the x-axis just changes the signs of the y-coordinates. Rotation -120° about B' is difficult to do by hand. The transformation rule for that is ...
(x, y) ⇒ (x·cos(-120°) +y·sin(-120°), -x·sin(-120°) +y·cos(-120°))
(x, y) ⇒ ((-(x-3) +(y+2)√3)/2 +3, (-(x-3)√3 -(y+2))/2 -2)
__
It looks like your problem is presented in GeoGebra, which makes reflection and rotation easy.
what is the value when x = 2?
i need this asap!
Answers
Answer:
y=6!
Step-by-step explanation:
you can easily see it on the graph. on the x axis, 2 is equivalent to 6
Answer:
When x is 2 y equals 6.
Step-by-step explanation:
You go right on the graph two units then go up the y axis till the line intersects the lines. In this case the graphed point is (2,6)
2x + 8
2 + 3
7x + 21
.
x +4
Answers
Answer:
[tex]60x + 86[/tex]
Step-by-step explanation:
