I need help with this other 1 last question and that is it, I'll do the rest!
Answers
Answer:
DO IT ON UR OWN EARTHLING
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
Related Questions
After a 25% increase this year, the population of Boom Town is now 6,600 people. What WAS the population last year?
Answers
Answer:
4,950
Step-by-step explanation:
Answer:
According to my calculations, my answer is $4,950.
Step-by-step explanation:
David has 56 baseball card I wish he sells three cars per week write an equation representing the number of cards n he has left at the end of any given week W
Answers
Answer:
56-3=N
Step-by-step explanation:
David starts with 56 baseball cards and sells 3 per week, so the equation representing the cards remaining after W weeks is n = 56 - 3W.
The equation that represents the number of baseball cards David has left at the end of any given week W is n = 56 - 3W. Here, 'n' stands for the number of cards he has left, '56' is the initial number of cards, '3' is the number of cards he sells each week, and 'W' is the number of weeks that have passed.
For example, at the end of week 1 (when W = 1), David will have:
n = 56 - 3(1) = 56 - 3 = 53 cards left.
At the end of week 2 (when W = 2), it would be:
n = 56 - 3(2) = 56 - 6 = 50 cards remaining.
This pattern continues as more weeks pass.
A bag of marbles has 5 blue marbles, 3 red marbles, and 6 yellow marbles. A marble is drawn from the bag at
random. How many possible outcomes are there?
3
5
6
14
Answers
Answer:
14
Step-by-step explanation:
As you are only pulling out one marble, the colors are irrelevant; each marble has exactly one 'chance' at getting pulled out. There are 14 marbles, so there are 14 possible outcomes. [Based on how basic the problem is, I tried to stick to basic mathematical terms].
Answer:14
Step-by-step explanation:
I just did it :)
The volume of the prism is 90 cubic meters. Find the value of x
.
Answers
The value of [tex]\( x \)[/tex] in a prism with volume [tex]\( 90 \)[/tex] cubic meters is approximately [tex]\( 2.466 \)[/tex] meters.
To find the value of [tex]\( x \)[/tex], knowing the volume [tex]\( V \)[/tex] of the prism, use the formula:
[tex]\[ V = l \times w \times h \][/tex]
Given [tex]\( V = 90 \)[/tex] cubic meters, if we assume the length [tex]\( l = 3x \)[/tex], width [tex]\( w = 2x \)[/tex], and height [tex]\( h = x \)[/tex], then:
[tex]\[ 90 = (3x) \times (2x) \times (x) \][/tex]
[tex]\[ 90 = 6x^3 \][/tex]
[tex]\[ x^3 = \frac{90}{6} \][/tex]
[tex]\[ x^3 = 15 \][/tex]
[tex]\[ x = \sqrt[3]{15} \][/tex]
[tex]\[ x \approx 2.466 \] meters.[/tex]
Danny brought $43.00 to the state fair. He bought a burger, a souvenir, and a pass. The burger was 1/4 as much as the souvenir, and the souvenir cost 2/3 the cost of the pass. Danny had $4.50 left over after buying these items. What was the cost of each item?
Answers
The cost of each item that Danny bought in this case are: Pass of the fair was of $21, the cost of souvenir was $14 and the cost of burger was $3.5
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Given that:
The cost of burger is expressed in terms of cost of souvenir and of souvenir in terms of the cost for pass.
So, let we take:
Cost of pass = x dollars,
Then, cost of souvenir = 2/3 of x = 2x/3 dollars
And the cost of burger = 1/4 of cost of souvenir = 1/4 (2x/3) = [tex]\dfrac{2x}{12} = \dfrac{x}{6}[/tex] dollars.
Also, we have:
Total initial amount = Amount spent + Amount remaining
or
43 = Cost of all those 3 items + 4.5
[tex]43 = x + \dfrac{2x}{3} + \dfrac{x}{6} + 4.5\\43 = \dfrac{6x}{6} + \dfrac{4x}{6} + \dfrac{x}{6} + 4.5\\\\43 = \dfrac{11x}{6} + 4.5\\\\\text{Subtracting 4.5 from both the sides}\\\\43-4.5 = \dfrac{1x}{6}\\\\\\dfrac{11x}{6} = 38.5\\\\\text{Multiplying 6/11 on both the sides}\\\\x = \dfrac{6 \times 38.5}{11} = 21[/tex]
Thus, the cost of pass was $21
Now, we get:
Cost of souvenir = 2x/3 = [tex]\dfrac{2(21)}{3} = 2\times7 = 14[/tex] dollars,
and cost of burger = [tex]\dfrac{x}{6} = \dfrac{21}{6} = 3.5[/tex] dollars.
Thus, the cost of each item that Danny bought in this case are: Pass of the fair was of $21, the cost of souvenir was $14 and the cost of burger was $3.5
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Alex has trained his puppy, Popper, to jump through a ring. According to Alex's measurements and calculations, the ring has a diameter of 3.5 feet. What is the ring's circumference (use 3.14 for pi)?
Answers
Answer:
11 ft
Step-by-step explanation:
The ring takes circular shape and for a circle, circumference is given by
[tex]C=\pi d[/tex]
Where C represent circumference and d is the diameter.
Taking use 3.14 for pi as instructed and substituting 3.5 ft for diameter d then
C=3.14*3.5=10.99 ft
Rounding off, this is approximately 11 ft
Answer:
10.99 ft
Step-by-step explanation:
Given: The ring has a diameter of 3.5 feet
To find: The ring's circumference
Formula: [tex]C = 2\pi r[/tex]
Solution: To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2 × radius with pi (π = 3.14).
C = pi × 2r
C = pi × diameter (3.5)
C = 3.14 × 3.5 = 10.99
Hence, the ring's circumference is 10.99 ft
Rafael spins the pointers of the two spinners shown at the right. Find the probability of each possible sum
Answers
Step-by-step explanation:
P(sum)= 2On the left: possible outcome has the value of 1 (1) = [tex]\frac{1}{2}[/tex]
On the right: 1 possible outcome has the value of 1 (1)= [tex]\frac{1}{3}[/tex]
=> the probability of possible P(sum)= 2
= [tex]\frac{1}{2}[/tex]* [tex]\frac{1}{3}[/tex]
= [tex]\frac{1}{6}[/tex]
P(sum)= 3On the left: possible outcome has the value of 1 = [tex]\frac{1}{2}[/tex]
On the right: 1 possible outcome has the value of 2 = [tex]\frac{1}{3}[/tex]
On the left: possible outcome has the value of 2 = [tex]\frac{1}{2}[/tex]
On the right: 1 possible outcome has the value of 1 = [tex]\frac{1}{3}[/tex]
=> the probability of possible P(sum)= 3
= [tex]\frac{1}{2}[/tex]*[tex]\frac{1}{3}[/tex] + [tex]\frac{1}{2}[/tex]*[tex]\frac{1}{3}[/tex]
= [tex]\frac{1}{3}[/tex]
P(sum)= 4On the left: possible outcome has the value of 1 = [tex]\frac{1}{2}[/tex]
On the right: 1 possible outcome has the value of 3 = [tex]\frac{1}{3}[/tex]
On the left: possible outcome has the value of 2 = [tex]\frac{1}{2}[/tex]
On the right: 1 possible outcome has the value of 2= [tex]\frac{1}{3}[/tex]
=> the probability of possible P(sum)= 4
= [tex]\frac{1}{2}[/tex]*[tex]\frac{1}{3}[/tex] + [tex]\frac{1}{2}[/tex]*[tex]\frac{1}{3}[/tex]
= [tex]\frac{1}{3}[/tex]
P(sum)= 5On the left: possible outcome has the value of 2 = [tex]\frac{1}{2}[/tex]
On the right: 1 possible outcome has the value of 3 = [tex]\frac{1}{3}[/tex]
=> the probability of possible P(sum)= 5
= [tex]\frac{1}{2}[/tex]* [tex]\frac{1}{3}[/tex]
= [tex]\frac{1}{6}[/tex]
The probability of getting sum 2 is [tex]\frac{1}{6}[/tex]
The probability of getting sum 3 is [tex]\frac{1}{3}[/tex]
The probability of getting sum 4 is [tex]\frac{1}{3}[/tex]
The probability of getting sum 5 is [tex]\frac{1}{6}[/tex]
Probability :Two spinners shown in the question.
First spinner is divide into two equal parts.
Second spinner is divided into three equal parts.
The probability of getting sum 2 is,
[tex]P(sum=2)=\frac{1}{2} *\frac{1}{3}\\ \\P(sum=2)=\frac{1}{6}[/tex]
The probability of getting sum 3 is,
[tex]P(sum=3)=(\frac{1}{2}*\frac{1}{3}) +(\frac{1}{2}*\frac{1}{3})\\\\P(sum=3)=\frac{1}{3}[/tex]
The probability of getting sum 4 is,
[tex]P(sum=4)=(\frac{1}{2}*\frac{1}{3}) +(\frac{1}{2}*\frac{1}{3})\\\\P(sum=4)=\frac{1}{3}[/tex]
The probability of getting sum 5 is,
[tex]P(sum=5)=\frac{1}{2} *\frac{1}{3}\\ \\P(sum=5)=\frac{1}{6}[/tex]
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Principal = $800
Interest Rate = 3.5%
Time = 6 months
Find the interest earnedi
Answers
The interest earned is $14.
To find the interest earned, we can use the formula for simple interest:
[tex]\[ \text{Simple Interest} = \frac{P \times R \times T}{100} \][/tex]
Where:
- [tex]\( P \)[/tex]is the principal amount (the initial amount of money) [tex]= $800[/tex]
-[tex]\( R \)[/tex]is the interest rate per period (in decimal form) [tex]= 3.5% = 0.035[/tex]
-[tex]\( T \)[/tex] is the time the money is invested for (in years)[tex]= 6 months = 0.5 years[/tex]
Now, plug in the values:
[tex]\[ \text{Simple Interest} = \frac{800 \times 3.5 \times 0.5}{100} \][/tex]
[tex]\[ \text{Simple Interest} = \frac{800 \times 3.5 \times 0.5}{100} \][/tex]
[tex]\[ \text{Simple Interest} = \frac{800 \times 1.75}{100} \][/tex]
[tex]\[ \text{Simple Interest} = \frac{1400}{100} \][/tex]
[tex]\[ \text{Simple Interest} = \[14 \][/tex]
Complete correct question:
Principal = $800
Interest Rate = 3.5%
Time = 6 months
Find the interest earnedi
A triangle has height 5 cm and base length 8 cm. Find its area.
Answers
Answer:
=15 square cm.
Step-by-step explanation:
Answer: 20
Step-by-step explanation:
Formula= base*height divide by 2
Which scatterplot shows the strongest relationship between the variable x and the variable y
Answers
The scatterplot that shows the strongest relationship is, a graph has x on the x-axis, and y on the y-axis. Points increase loosely together.
What is Correlation coefficient of scatterplot?The correlation coefficient of scatterplot is used to demonstrate the relationship between variables.
When two variables increases together, they are said to have positive correlation.
Similary when one is increasing and another is decreasing, they are said to have negative correlation.
From the given options;
We can see that Option A, zero correlation
Option B, less than 1
Option C, 1 or greater than 1
Option D, -1 or less than 1
Therefore, the scatterplot demonstrates the strongest relationship between two quantitative variables is;
Option C, "A graph has x on the x-axis, and y on the y-axis. Points increase loosely together".
The complete question is below:
"A. A graph has x on the x-axis, and y on the y-axis. Points are scattered throughout the graph.
B. A graph has x on the x-axis, and y on the y-axis. Points curve up and then down in a line.
C. A graph has x on the x-axis, and y on the y-axis. Points increase loosely together.
D. A graph has x on the x-axis, and y on the y-axis. Points decrease loosely together."
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Final answer:
A scatterplot that shows a strong relationship between variables x and y will have points tightly clustered around the regression line, indicating x has a strong influence on y. It is a key visual tool to assess the potential for linear regression, but caution is needed as it does not prove causation and outliers or non-linear trends can influence interpretations.
Explanation:
Understanding Scatterplot Relationships
When determining the strength of a relationship between variable x and variable y on a scatterplot, one looks for how closely the data points follow a particular trend or pattern. A scatterplot with a strong relationship between the variables will show that the points are tightly clustered around a line, known as the regression line, which passes through the mean of the data set. This clustering signifies that x has a strong influence on y.
However, it's important to note that a strong relationship does not confirm causation. For a scatterplot to represent a good candidate for linear regression, the pattern of points should not only be tight but also linear. If the data shows an obvious non-linear relationship, or if there are outliers that significantly affect the correlation coefficient, one should be cautious in interpreting the results. The decision to use linear regression is best made after a visual inspection of the scatterplot and consideration of the relationship's linearity.
To visualize a correlation and assess the potential influence one variable may have on another, a researcher can use a scatterplot. This graph plots points at the intersection of the paired values on Cartesian coordinates, providing a clear image of the relationship.
Justin opened a savings account with $500. He plans to save $50 per week from his paycheck. Which equation would represent his total balance, y, after x weeks of saving?
A . x = 50y + 500
B . y = x
C .y = 500x + 50
D. y = 50x + 500
Answers
Which triangle would be most helpful in finding the distance between the points (–4, 3) and (1, –2) on the coordinate plane?
On a coordinate plane, a triangle has points (negative 4, 3), (1, negative 2), (5, 3).
On a coordinate plane, a triangle has points (negative 4, 2), (negative 1, 4), (1, negative 3).
On a coordinate plane, a triangle has points (negative 4, 3), (negative 4, negative 2), (1, negative 2).
On a coordinate plane, a line is drawn between points (negative 4, negative 3) and (negative 1, 4).
WILL GIVE BRAINLIEST!!
Answers
Answer:
On a coordinate plane, a triangle has points (negative 4, 3), (negative 4, negative 2), (1, negative 2).
(see screenshot)
Step-by-step explanation:
The points (-4,3), (1,2) and (-4, -2) would form a right triangle when graphed and connected by lines.
(-4,3), (1,2) and (1,3) would also work as well.
Based on the options provided, the triangle with points (-4, 3), (-4, -2), (1, -2) would be the most helpful. Thus, the third option is correct.
To find the distance between the points (-4, 3) and (1, -2) on the coordinate plane, the most helpful triangle would be the one with points (-4, 3), (-4, -2), and (1, -2).
A triangle with points (-4, 3), (-4, -2), (1, -2):
This triangle includes both of the given points and can be used to calculate the distance between them.
Therefore, based on the options provided, the triangle with points (-4, 3), (-4, -2), (1, -2) would be the most helpful in finding the distance between the points (-4, 3) and (1, -2) on the coordinate plane.
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A chess club with 60 members is electing a new president. Teresa received 9 votes. What percentage of the club members voted for Teresa?
Answers
Answer:
15%
Step-by-step explanation:
9/60 = 0.15
The percentage of the club members voted for Teresa of approximately 15% of the chess club members voted for Teresa.
To calculate the percentage of club members who voted for Teresa, we can use the following formula:
Percentage = (Number of votes for Teresa / Total number of club members) × 100
Given that Teresa received 9 votes and the chess club has 60 members, we can plug these values into the formula:
Percentage = (9 / 60) × 100
Now, let's calculate the percentage:
Percentage = (0.15) × 100
Percentage ≈ 15%
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Lines Line A E and Line G H are parallel in the image below. The image will be used to prove that the sum of the measures of the interior angles of Triangle C G H is 180°. Lines A E and G H are parallel. Angles F and C are congruent. Which statement would be included in a proof of why Measure of angle C + measure of angle G + measure of angle H = 180 degrees.? Angles F and H are congruent. Angles C and E are congruent. Angles A and G are congruent. Angles F and C are congruent.
Answers
Answer:
Angles F and C are congruent
Step-by-step explanation:
In the figure attached, the missing image is shown.
From the figure, it can be seen that Angles F and C are opposite angles. Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent .
Answer:
Step-by-step explanation: f and c should be correct i just took the test
A region with a 15 mile diameter has a population density of about 5000 people per square mile. Find the number of people who live in the region.
Answers
Answer:
55 of people
Find the correct result.
1+4=5
2+5=12
3+6=21
5+8=
Answers
5+8=13
The surface area of this square prism is
A) 45 ft2.
B) 69 ft2.
C) 78 ft2.
D) 245 ft2.
Answers
Answer:
C) 78 ft2
step-by-step explanation:
(1) volume: V = a²h(2) surface area: S = 2a(a+2h)(2) is the one you want to find out.
Volume= 45 ft2
Surface area= 78 ft2
Find the volume of the sphere.
Either enter the exact terms of pi or use 22/7 for pi.
The radius is 1/2 !
Answers
Answer: 1/6 pi
Step-by-step explanation:
1. Formula: Volume of a sphere= 4/3pi x 1/2^3
2. Solve: 1/2^3 = 1/8
3. Place 1/8 into problem: 4/3pi x 1/8
4. Solve: 4/3pi x 1/8 = 4/24pi
5. simplify
Answer: 1/6pi
If the point G(–4, 6) was moved horizontally 4 units to the left, which of the following is the correct mapping to define the translation? (x, y) Right-arrow (x, y + 4) (x, y) Right-arrow(x + 4, y) (x, y) Right-arrow (x, y – 4) (x, y) Right-arrow (x – 4, y)
Answers
Answer:
(x, y ) → (x - 4, y )
Step-by-step explanation:
A horizontal move of 4 to the left means subtract 4 from the x- coordinate, leaving the y- coordinate unchanged, thus
(x, y ) → (x - 4, y ) ← translation rule
Answer:
(x, y) Right-arrow (x – 4, y)
Step-by-step explanation:
just did it
6-2/3 doubled would be?
Answers
Answer:
10.6
Step-by-step explanation:
1. 2(6-2/3)
a. 2(5.33)
b. 10.6
Answer:
32/3, 10 2/3, 10.67
Step-by-step explanation:
First, we can set up the expression.
2(6-2/3)
Use the distributive property.
12-4/3
Get a common denominator.
12*3/3=36/3
36/3-4/3
32/3
or
10 2/3
or
10.66 (repeated)
Round it to 10.67
All I need is the answer if your right you will be marked brainzileient
Answers
Answer:
C; E
Step-by-step explanation:
They are the only 2 equivalent expressions
Answer:
C & E is the correct answer.
9 times 9 quals what?
yk the deal
Answers
Answer:
81
Step-by-step explanation:
Finally thank you bro
Answer:
81
Step-by-step explanation:
9 + 9 + 9 + 9 + 9 + 9 +9+9+9
or
9^2 = 81
Hope this helps
I am a 2 digit number.
I am divisible by 11.
The number before me is a prime number.
What number am I?
Answers
Answer:
65
Step-by-step explanation:
6+5=11
Part A: A triangle has angles measuring 2xo, xo, and 45o. Write an equation that can be solved to find the value of x?
Part B: Using your equation from part A, Find the measure of each angle, in degrees.
Angle 2x*__________; Angle x*__________
Answers
Answer:
X° + 2x° + 45° = 180°
X = 45°, 2x = 90°
Step-by-step explanation:
Since the angles in a triangle sums up to 180
And the angles in this particular triangle is measured as 2x° + x° + 45° = 180
With this equation, we can find the value of x and 2x
2x + x + 45 = 180
3x + 45 = 180
3x = 180 - 45
3x = 135
Now divide both sides by 3
3x/3 = 135/3
X = 45
Therefore, the angles of that triangle are x° = 45, 2x°= 45 × 2 = 90° and the third angle which was given to us as 45°
the area of the square, the
A cone fits inside a square pyramid as shown. For every
cross section, the ratio of the area of the circle to the area
of the square is one or
Since the area of the circle is
volume of the cone equals
the volume of the pyramid or (2016) orah
Cross section
the volume of the pyramid or (27?m) or ar?h.
i the volume of the pyramid or ( 2o?m) or Zurh.
Į the volume of the pyramid or #( 2m m) or
Answers
Answer:
B pi/4 the volume of the pyramid or pi/4 (2r)^2 (h)/3or 1/3 πr^2h.
Step-by-step explanation:
i did this b4
The solution is, the volume of the cone equals π/4 the volume of the pyramid.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
Here, we have,
As given in the question, we know that:
The ratio of the area of the circle to the area of the square is π/4
The formula to find the volume of the cone is:
V = 1/3*the height*the base area
<=> V1 = 1/3*h*π
The formula to find the volume of the pyramid is:
V2 = 1/3*the height*the base area
<=> V = 1/3*h*4
=> the ratio of volume of the cone to the pyramid is:
= V1/V2
= (1/3*h*π ) / ( 1/3*h*4 )
= π/4
So, we can conclude that the volume of the cone equals π/4 the volume of the pyramid.
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HELLO? Can anyone answer my question PLS!!! HELP!!!
Write the explicit equation
for the sequence
9, 5, 1, -3, -7…
Answers
Answer:
13-4n
Step-by-step explanation:
The generic formula to calculate this is. a+(n-1) d
“a” is the first term and “d” is the difference in our case “a” is 9 and “d” is -4
9+(n-1)(-4)
9-4n+4
13-4n
Answer:
[tex]a_{n}[/tex] = 13 - 4n
Step-by-step explanation:
Note the common difference d between consecutive terms, that is
d = 5 - 9 = 1 - 5 = - 3 - 1 = - 7 - (- 3) = - 4
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 9 and d = - 4, thus
[tex]a_{n}[/tex] = 9 - 4(n - 1) = 9 - 4n + 4 = 13 - 4n ← explicit equation
An oval track is made by erecting semicircles on each end of a 46 m by 92 m rectangle. Find the length of the track and
the area enclosed by the track.
Answers
Answer:
[tex]Length\,\, of\,\, the\,\, track=420.44\,m\\\\Area\,\,covered \,\,by\,\, the\,\, track=5893.06\,m^2[/tex]
Step-by-step explanation:
Length of the Track:
Perimeter of the rectangle + Circumference of the two semicircle
Perimeter of the rectangle= [tex]2(Length+Width)[/tex]
[tex]Length=92\,m\\Width=46\,m[/tex]
Perimeter of the rectangle:
[tex]=2(92+46)\\\\=2(138)\\\\=276\,m[/tex]
Circumference of Two Semicircle with same radius:
[tex]r=\dfrac{46}{2} =23\,m[/tex]
[tex]Circumference=2\times \pi \times r\\\\[/tex]
[tex]=2\times 3.14\times 23\\\\=6.28 \times 23\\\\=144.44\,m[/tex]
Total Length of the track is :
[tex]=276+144.44\\\\=420.44\,m[/tex]
Area Covered by the track is :
Area of the two semicircle + Area of the rectangle
[tex]=(\pi \times r^2) + (Length\times Width)\\\\=(3.14\times (23\times 23 ))+(92\times 46)\\\\=1661.06 +4232\\\\=5893.06\,m^2[/tex]
The total length of the oval track is 420.51m and the area enclosed by the track is 5893.90m².
Explanation:The dimensions of the rectangular part of the track are 46m and 92m respectively. Thus, the total distance around the rectangle (perimeter) is 2*(46m + 92m) = 276m. The two semicircles on either end of the rectangle form a complete circle with a diameter of 46m. The circumference of this circle (which equates to the remaining path length of the race track) is given by the formula πd or π*46m ≈ 144.51m. Thus, the total length of the track is 276m + 144.51m = 420.51m.
As for the area enclosed by the track, it consists of two main parts: the area of the rectangle and the area of the circle. The area of the rectangle is given by the formula L*W, or 46m*92m = 4232m². The area of the circle is given by the formula π(r²), where r is the radius of the circle. So, π(23m²) equals approximately 1661.90m². Adding the two results together, the total area enclosed by the track is 4232m² + 1661.90m² = 5893.90m².
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Which points are 4 units apart?
Answers
Answer:
b and d
Step-by-step explanation:
Points B and D are 4 units apart in the given coordinate plane so option (D) will be correct.
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.
For example (5,3) here 5 will be for the x and 3 will be for the y.
Another example is (9,0) here 9 is for x and 0 is for y.
Given the coordinates A, B, C, and D
Now,
Distance between any two coordinates can be measured by a number of grids between them if they are colinear but if they are not we need to find the inclined distance.
Since A and C are 4 grids up and down but C is not co-linear with A so distance will be more than 4.
Coordinate B and D are colinear and has four grid distance so it will be the answer.
Hence "Points B and D are 4 units apart in the given coordinate plane".
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The given question has missing graph and option which is shown below ;
Diamonds have a density of 3.5 LaTeX: \frac{g}{cm^3}g c m 3. How big is a diamond that has a mass of 0.10 g?
Answers
For this case we have that by definition, the density is given by:
[tex]d = \frac {M} {V}[/tex]
Where:
M: It is the mass of the diamond
V: It is the volume of the diamond
According to the data of the statement we have:
[tex]d = 3.5 \frac {g} {cm ^ 3}\\M = 0.10 \ g[/tex]
So the volume is:
[tex]V = \frac {M} {d}\\V = \frac {0.10 \ g} {3.5 \frac {g} {cm ^ 3}}\\V = 0.02857\\V = 0.03 \ cm^3[/tex]
Thus, the volume of the diamond is approximately [tex]0.03 \ cm ^ 3[/tex]
Answer:
[tex]0.03 \ cm ^ 3[/tex]
Find the area of the figure to the nearest tenth.