A compact disc with a diameter of 120. What is the area?
Step-by-step explanation:
A compact disc with a diameter of 120.
the area=π(d/2)²=π×(120/2)²=60²π=3600π or 11309.73units²
The scale on a map is 1: 75 000. (a) Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map. (b) Calculate length of a road on the map which is 0.58 km. (c) Calculate, in km2, the ACTUAL area of a lake which is 12 cm2 on the map. (d) Calculate the area of a play field on the map which has has an actual area of 90 km2.
Answer:
a. 1 200 000 km
b. 0.000 773 cm
c. 67 500 000 000 km²
d. 0.000 000 016 cm²
Step-by-step explanation:
a. Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.
Since the scale is 1 : 75000 that is 1 cm : 75000 km, we want to find the actual distance of 16 cm on the map. Let x be the actual distance in km.
So, 1 cm : 75000 km = 16 cm : x km
So, 1 cm/75000 km = 16 cm/x km
Thus x km = 16 cm × 75000 km/1 cm = 1 200 000 km
(b) Calculate length of a road on the map which is 0.58 km.
Let y be the length of road on the map. So, using our scale
1 cm : 75000 km = y cm : 0.58 km
So, 1 cm/75000 km = y cm/0.58 km
Thus y cm = 0.58 km × 1 cm/75000 km = 0.000 773 cm
(c) Calculate, in km², the ACTUAL area of a lake which is 12 cm2 on the map.
Since the scale is 1 : 75000 , the scale for the area would be the square of this. So, 1² : 75000² = 1 : 5 625 000 000 which is 1 cm² : 5 625 000 000 km²
Let z be the actual area of the lake.
So, 1 cm² : 5 625 000 000 km² = 12 cm² : z km²
So, 1 cm²/5 625 000 000 km² = 12 cm²/z km²
Thus z km² = 12 cm² × 5 625 000 000 km²/1 cm² = 67 500 000 000 km²
(d) Calculate the area of a play field on the map which has has an actual area of 90 km².
Let a represent the area of the play field on the map. Using our scale for the area,
1 cm² : 5 625 000 000 km² = a cm² : 90 km²
So, a cm² = 90 km² × 1/5 625 000 000 km² = 0.000 000 016 cm²
Which is a better deal: five tulips for $3.00 or seven tulips for $4.00?
Answer:
Step-by-step explanation:
7 divided by $4.00 = $1.75/per tulip
5 divided by $3.00 = $1.67/per tulip
Five tulips for 3.00 dollars
Answer:
7 tulips for $4.00
Step-by-step explanation:
you have 5 tulips for 3.00 dollars and 7 tulips for only 4.00 is a better deal because you just add 1 more dollar.
help a girl outtttt please
which is equivalent to the expression (2x+4)(x-6)?
Answer:
2(x² – 4x – 12)
Step-by-step explanation:
(2x+4)(x–6) →
2(x+2)(x–6) →
2(x(x–6) + 2(x–6)) →
2(x² – 6x + 2x – 12) →
2(x² – 4x – 12)
Question 8 - Find the mean
Answer:
You can hack it double click and press inspect for answers
Step-by-step explanation:
(10 x 16)+(10x x p) what is equvalint
Answer:
1 0 2 + 1 6 0
Step-by-step explanation:
Multiply the numbers
(10*16) +10x xp)
(160) +(10x xp)
Combine exponents
(160) + (10xxp)
160 + 10 [tex]x^{2}[/tex] p
Eliminate redundant parentheses
(160) + (10xxp)
160 + 10 [tex]x^{2}[/tex] p
Rearrange terms
160 + 10 [tex]x^{2}[/tex] p
1 0 2 + 1 6 0
What is f(x)? someone please help
Given:
The table of values for the function f(x).
To find:
The equation for the function f(x).
Solution:
From the given table it is clear that the function passes through the point (0,5) and (1,8). So, the equation of the linear function that passes through the (0,5) and (1,8) is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-5=\dfrac{8-5}{1-0}(x-0)[/tex]
[tex]y-5=\dfrac{3}{1}x[/tex]
[tex]y=3x+5[/tex]
The function notation is:
[tex]f(x)=3x+5[/tex]
Therefore, the required function is [tex]f(x)=3x+5[/tex].
Which frequency table matches the histogram shown below?
Select all the equations that are true:
Answer:
TrueFalse, correct one -58False, correct one 58TrueTrueFalse, correct one 42TrueFalse, correct one -42When the function is given in vertex form y = a (x - h)2 + k. When the function is given in vertex form y = a (x minus h) squared + k, how is the vertex found? How is the vertex found?
a. (k, h)
b. (x, y)
c. (h, k)
d. (y, x)
PLEASE HURRY!
Answer:
(x,y)
Step-by-step explanation:
Answer:
b is the answer for your question
Parallelogram A B C D is shown. Sides A B and D C are parallel, and sides A D and B C are parallel. Angle C is (3 y + 27) degrees and angle A is (5 y minus 3) degrees. What is the measure of ∠A? ° What is the measure of ∠B? ° What is the length of segment EF? units
Answer:
m<A = 72 degrees
m<B = 108 degrees
Step-by-step explanation:
For the parallelogram ABCD
The sum of the opposite angle will be 180 degrees
Hence <A + <B = 180 and m<A = m<C
5y - 3 = 3y + 27
5y - 3y = 27 + 3
2y = 30
y = 30/2
y = 15
Get m<A
m<A = 5y - 3
m<A = 5(15)-3
m<A = 75 - 3
m<A = 72 degrees
Get m<B
From the equation above;
m<B = 180 - m<A
m<B = 180 - 72
m<B = 108degrees
4x−4<8 AND9x+5>23 thank u for your help
Answer:
x < 3 AND x > 2
Step-by-step explanation:
4x − 4 < 8
4x < 8 + 4
4x < 12
x < 3
9x + 5 > 23
9x > 23 - 5
9x > 18
x > 2
An editor gets $2890 raise each year. In her eighth year, she is making $27,400 per year. Write a function that represents her income after x years she has worked at the company
Answer: [tex]7170+2890x[/tex]
Step-by-step explanation:
Given
Editor gets a raise of [tex]\$2890[/tex] each year
In her eighth year, she is making [tex]\$27,400[/tex]
Eighth years refers to 7 complete year
Suppose she starts with an amount of P
So, her pay after x years is
[tex]\Rightarrow P+2890x[/tex]
for the eighth year i.e. [tex]x=7[/tex]
[tex]\Rightarrow P+2890\times 7=27400\\\Rightarrow P=27400-20230=\$7170[/tex]
after x years it is
[tex]\Rightarrow 7170+2890x[/tex]
a+3 1/4 = 5 2/9
explain the process and how you got, please. If you dont thats also alright but i would like it.
Step-by-step explanation:
a = 71/36
Alternate form
a = 1 35/36, a = 1.972
Solve for the missing arc:
A 32.25 degrees
B 64.5 degrees
C 129 degrees
D 45 degrees
Answer:
hey i am also on this problem did you ever figure it out
find the solution(s) to 2x^2-5x-3=0. check all that apply
Answer:
-1/2 & 3
Step-by-step explanation:
just took the test
The Help All Animals Society is having a fundraiser at a local auditorium. They charge $5.00 a ticket to attend the event. If the rental fee for the auditorium is $100, which expression represents the profit if n tickets are sold?
Step-by-step explanation:
5n-100= profit
...............
PLS HELP WILL GIVE BRAINLIEST
Answer:
Micah can earn $2,669
I hope this helps
Step-by-step explanation:
2 people can paint a fence in one hour
How long would it fake 10 people?
Answer:
12 minutes.
Step-by-step explanation:
2x60=10 times x
2x60 divided by 10= x
12=x or x=12 min
Mouna scored 42 points in 3 games
What is the rate
Answer:
14 points
Step-by-step explanation:
To Find how many points did he/she score per game
Since rate = per (1)
We have to divide points by games
Since Mouna scored 42 point → Total and Games → 3
We have to divide 42 by 3
42/3 = 14
Hence, Mouna scored 14 points per game
[RevyBreeze]
ANSWER NEEDED QUICKLY‼️ BRAINLIEST TO RIGHT ANSWER
i need this i is are has stup id
so ill give 100 points
Answer:
its B, since 2 x 18 = 36
Step-by-step explanation:
Answer:
18 books
Step-by-step explanation:
there is 2 books in group 2 so that means you do
36 / 2 = 18
one book represents 18 books
Preston has more than $8 in his wallet. Which inequality represents this situation?
A) c>8
B) c≤8
C) c≥8
D) c<8
Answer:
D
Have a great day
Answer:
A ) c > 8
Step-by-step explanation:
> this is the greater than sign and the question says " more than 8$ "
Which number is in the solution set of this equation? 7x − 9 = 40
Answer:
x=7
Step-by-step explanation:
Answer:
7
Steps:
7x − 9 = 40
7x = 40 + 9
x = 49/7
x = 7
How do you say I am sleepy in spanish?
Answer:
tengo sueño
Step-by-step explanation:
Answer:
To say I am sleepy in spanish you say: tengo sueño
Step-by-step explanation:
Hope this helped!
PLLLLLLLLLLLSSSSSSSSSS HELP MEEE
Answer:
y=0.5x
Step-by-step explanation:
Answer:
y = 1/2x
Step-by-step explanation:
Will give Brainly! Need help!
Answer:
(-3,5)
Step-by-step explanation:
Please brainleist me
Jack has $20 in his savings account that earns 10% annually.The interest is not compound.How much will he have in 1 year?
Answer:
$22
Step-by-step explanation:
Given data
Principa= $20
rate= 10%
time= 1 year
The simple interest expression is given as
A= P(1+rt)
substitute
A= 20(1+0.1*1)
A= 20*1.1
A= $22
Hence the amount after 1 year is $22
Match the equation with the description of the function it represents.