This diagram of a rectangular city park was drawn using a scale of 1 centimeter to 20 meters
(In the diagram shown, assume each square on the grid is 1 centimeter in length.)
What is the area, in square meters, of the actual park?
What is the scale factor?
Answers
Answer:
Scale factor for the drawing from actual park = [tex]\frac{1}{20}[/tex]
Area of the actual park = 1200 cm²
Step-by-step explanation:
Length of the rectangular city park = 5 cm
Width of the rectangular park = 6 cm
Using scale factor 1 cm = 20 meters
Scale factor = [tex]\frac{\text{length of the park in drawing}}{\text{Actual length of park}}=\frac{1}{20}[/tex]
[tex]\frac{5}{\text{Actual length of park}}=\frac{1}{20}[/tex]
Actual length = 5 × 20 = 100 meters
Actual width = 6 × 20 = 120 meters
Area of the rectangular park = length × width
= 100 × 120
= 1200 square meters
Therefore, Scale factor from actual length to the length in drawing = 1 : 20
Area of the rectangular park = 1200 square feet
Related Questions
I’m dumb and need help!
Answers
Answer:
C
Step-by-step explanation:
Break into 2 equatins to get x's:
2x-6<4 and 2x-6>-4
Solve for x in both:
2x-6<4
2x<10
x<5
2x-6>-4
2x>2
x>1
Graph both inequalities on the same number line:
<---0-----1-----2-----3-----4-----5-----6--->
Brynne withdrew all the money from her savings account in a series of 4 withdrawals and now has a balance of - $20. What is the average change on her account per withdrawal
Answers
Answer:
Is $80
Step-by-step explanation:
2) y>-x+3
3
y<-x-1
Graph
Answers
Answer:
lokjhbvcvbnmjkl;;lkhhhvfbbbbbbbbbbbbbbbbbbbbbbbb
If f(x) = 5x +3, find f(4)
Answers
f(4)=5•4+3
=20+3=23
Evaluate the following expression: 2-(4+3-6)
Answers
Answer:
1
Step-by-step explanation:
2 - (4 + 3 - 6)
2 - 4 - 3 + 6
-2 - 3 + 6
-5 + 6
1
or
2 - (4 + 3 - 6)
2 - (1)
1
Answer:
The answer to our question is the number 1
Step-by-step explanation:
=2-1
=1 (the solution)
The population of a county is growing at a rate of 9% per year, compounded continuously. If the county currently has 14,934 people, how many will there be in this county in 10 years? Round to the nearest person.
Answers
The endpoints of PQ are P(-3, 1) and Q(4, 25) Find the midpoint of PQ
Answers
Answer:
(-1, 14.5)
Step-by-step explanation:
Well there is a mid-point formula that looks like this:
m = ((x1+x2)/2) , ((y1+y2)/2)
So if we input our two points into the formula we get this:
m=((-3+1)/2) , ((4+25)/2)
Which can be simplified to get:
m=(-1, 14.5)
So these are your coordinates
A direct variation equation is in the form of y=kx.Is this a direct variation equation ?
Yes or No
Answers
Answer:
yes that is the direct variation equation
For the expression 34- 34a to have a negative value, what must be true about the value of a ?
Answers
Answer:
a>0
Step-by-step explanation:
if a is negative then the subtraction sign would switch. therefore, for the expression to have a negartive value a must be greater than 0
Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than the number of questions Chris got right. Damien correctly answered 2 less than the number of questions Chris answered correctly. If Brian and Damien have the same score, which statement is true?
Answers
Answer:
C. Brian and Damien both answered 2 more questions correctly than Chris did.
Step-by-step explanation:
A. Brian and Damien both answered 2 fewer questions correctly than Chris did.
B. Brian and Damien both answered 4 more questions correctly than Chris did.
C. Brian and Damien both answered 2 more questions correctly than Chris did.
D. Brian and Damien both answered 4 fewer questions correctly than Chris did.
Let
B = number of questions Brian got right
C = number of questions Chris got right
D = number of questions Damien got right
The number of questions Brian got right is 14 more than 1/4 the number of questions Chris got right.
B = 14 + (1/4) * C
Damien correctly answered 2 less than 5/4 the number of questions Chris answered correctly.
D = (5/4) C - 2
If Brian and Damien have the same score,
14 + (1/4) * C = (5/4) C - 2
14 + 1/4C = 5/4C - 2
14 + 2 = 5/4C - 1/4C
16 = 5C-C/4
16 = 4/4C
C = 16
B = 14 + (1/4) * C
= 14 + 1/4*16
= 14 + 4
= 18
D = (5/4) C - 2
= 5/4*16 - 2
= 5*4 - 2
= 20 - 2
= 18
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x + 10y = 70
Answers
Answer:
y=-4/5 x + 7
Step-by-step explanation:
Subtract 8 x by 8 x. Do not put 8 x under 10 y or 70.
Then divide 10 by all of the terms.
Then you have: y= 7 - 8/10 x
But then you have to flip 7 and - 8/10 x
And get y= -8/10 x + 7
Simplified is y= 4/5 x + 7
REMEMBER: y=m x + b
M= Slope
B= y-intercept
To simplify -36 ÷ (2)(3)^ 2 + 5, we first _____.
A.evaluate the exponent
B.divide -36 by 6
C.multiply the parenthesis
D.divide -36 by 2
Answers
Answer:
12
Step-by-step explanation:
Answer: evaluate the exponent
Step-by-step explanation: -36/2.3^2+5 there is no parenthesis so
p
e
m
d
a
s
so the next one is exponents
you may think that (2) (3) is parenthesis but when a number is like that (x)(x) just mean to multiply the values
What is the value of x when solving the Equation 2x + 1 = -x + 4 Using the Algebra tiles
Answers
Answer:
1
Step-by-step explanation:
Let's solve your equation step-by-step.
2x+1=−x+4
Step 1: Add x to both sides.
2x+1+x=−x+4+x
3x+1=4
Step 2: Subtract 1 from both sides.
3x+1−1=4−1
3x=3
Step 3: Divide both sides by 3.
3x
3
=
3
3
x=1
BRAINLIEST?
which expression is equivalent to −34÷(−812)?
Answers
Answer:
-34/-812 = 17/406
Step-by-step explanation: i think this is right...
Answer:
Your answer is: Look Below ↓
Step-by-step explanation:
Hope this helped : )
Simplify:
-5 - 1( 9 + x ) - 4x
Answers
Answer:
[tex] - 5 - 1 \times (9 + x) - 4x = \\ - 5 - 9 - x - 4x = \\ -14 - 5x[/tex]
Convert the fraction into a decimal using a calculator.
Round off to three decimal places. 22 / 95 =
Answers
Answer:
The answer would be 0.22 or .22
Step-by-step explanation:
Answer:
0.23
Step-by-step explanation:
divide the numerator by the denominator
22÷95= 0.23157894...
round 0.23157894... to 0.23
evaluate this please
Answers
Answer:
17
Step-by-step explanation:
for f(6).
[tex]f(6) = - 3 \times 6 + 1 = 17[/tex]
Answer:
17
Step-by-step explanation:
What does negative 3 over 5 > −2 indicate about the positions of negative 3 over 5 and −2 on the number line?
Answers
So,
Ignore the negatives and just make them positives.
For now.
Then, you look at 3/5 and say... it's 3 ticks towards the number five,
meaning it's between 4 and 5. After you do that whats happens is you place back the negatives and you have -3/5 and -2.
-2 < 5 and -2 < 4
Meaning it goes more to the left.
I could be wrong but If I'm right please mark brainliest
PLZ HELP ASAP!!!!
In a recent survey, 62 students out of 100 choose corn as their favorite lunch item. If Washington has 3,800 students, how many students at
Washington would say corn is their favorite?
Answers
What is the end behavior of the graph of q?
Answers
im not good at this...
im sorry if im wrong but i think it may be B
Can somebody help me w this, please.
Answers
Answer:
i can help u this takes me a quite 5 mins to get an answer but ofc <3
Step-by-step explanation:
Answer: the answer is yess
What is the value of x?
Enter your answer in the box.
x=
Answers
Answer:
x=19
Step-by-step explanation:
Set both equal to each other and then solve for x
The sum of two numbers is x. If one of the numbers is 12, what is the other?
a. 12 x
b. 12 - x
c. 12 + x
d. x - 12
Answers
Answer:
D
Step-by-step explanation:
The question states that the sum of two numbers is x, and they give us one number which is 12. We know that 12 + 12x cannot equal x. We also know that 12 + 12 + x = x will cancel out the variable. Then, we can eliminate B, as the questions stated that the sum of two numbers is x, and they gave us one number of x. We know that the other number will be the unknown value minus 12, because 12 + x - 12 = x will simplify into x = x, which is true.
which shows graph (-3,5) and (4,-3) plotted correctly?
Answers
Answer: D
Hope it helps
Answer:
the forth one (d)
Step-by-step explanation:
can you help my sis out agan sorry
Answers
Answer:
That would be .51000
Answer:
[tex]5.1[/tex]×[tex]10^{-4}[/tex]
[tex]6.3[/tex]×[tex]10^{-3}[/tex]
Step-by-step explanation:
If you move the decimal 4 times to the right, since it's a negative, you'll get the number 0.00051.
If you move the decimal 3 times to the right, since it's also a negative, you'll get the number of 0.0063.
Hope this helps!
what is 11/12 minus 3/8
Answers
Answer: [tex]\frac{13}{24}[/tex]
Step-by-step explanation: 11/12 - 3/8
1. First, we will find a common denomenator. It needs to be the least common factor, or the answer will not be in its simplist form. Let's take a look at the multiples of 12 and 8.
12: 12, 24, 36, 48, 60, 72, 84, 96
8: 8, 16, 24, 32, 40, 48, 56, 64, 72
2. Next, we will choose the smallest common multiple. That would be 24.
3. Now, we will work this out.
11/12 = 22/24
3/8 = 9/24
4. Subtract.
22/24 - 9/24
= 13/24
= [tex]\frac{13}{24}[/tex]
I found the denomenators by multiplying.
Hope this answer helped!
Which of the following is an IRRATIONAL number? (select ONE)
a
1.323232...
b
32/3
c
1.7284927172646362...
d
1.5
Answers
Answer:
Number C would be the irrational number
in a triangle the height of a triangle h os measured by the formula h=2A/b where A = area of triangle and b=base of a triangle solve the formula for b
Answers
Answer: 2/8
Step-by-step explanation:
Parallel, Perpendicular
Or Neither
Y = 3x + 1
6x - 2y = 10
Answers
Complete the work to solve for y:
2
5
(
1
2
y + 5 ) −
4
5
=
1
2
y − 1 +
1
10
y
1.Distributive property:
1
5
y + 2 −
4
5
=
1
2
y − 1 +
1
10
y
2.Combine like terms:
1
5
y +
6
5
=
3
5
y − 1
3.Subtraction property of equality:
6
5
=
2
5
y − 1
Addition property of equality:
11
5
=
2
5
y
4.Division property of equality:
Answers
Answer:
11/2
Step-by-step explanation:
me took it on Ed with this question
Answer:
11/2
Step-by-step explanation:
i just got it correct