The area of the largest circular fire pit is 452 square inches.
Explanation:
Given that at a campground, a rectangular fire pit is 3 feet by 2 feet
The radius is given by 1 feet.
Area:
The area of the largest circular fire is given by
[tex]A=\pi r^2[/tex]
Substituting the values in the formula, we get,
[tex]A=(3.14)1^2[/tex]
[tex]A=3.14 \ ft^2[/tex]
Thus, the area of the largest circular fire is 3.14 square feet.
To convert feet to inches:
The feet can be converted into inches by multiplying by 12.
Thus, we have,
[tex]1 \ft= 12 \ inches[/tex]
Hence, we have,
[tex]Area= 3.14\times 12^2[/tex]
Simplifying,we get,
[tex]Area= 3.14\times144[/tex]
[tex]Area=452.16 \ in^2[/tex]
Rounding off to the nearest square inch.
Thus, we have,
[tex]Area= 452 \ in^2[/tex]
Thus, the area of the largest circular fire pit is 452 square inches.
Add 3 to x subtract the result from 1 then double what you have
If you add 3 to x you have [tex]3+x[/tex]
Subtract this from 1: [tex]1-(3+x)=1-3-x=-2-x[/tex]
Double this: [tex]2(-2-x)=-4-2x[/tex]
The required answer is 4 + 2x.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
The given expression is,
Add 3 to x subtract the result from 1 then double
Convert it to the numerical expression,
Add 3 to x = 3 + x
subtract the result from 1 = 3 + x - 1
⇒ subtract the result from 1 = 2 + x
Now double of result = 2(2 + x)
⇒ double of result = 4 + 2x
this is the required solution.
Thus, the required answer is 4 + 2x.
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Carmen wants to know the favorite lunch menu among 6th grade students. Which types of survey below would give Carmen valid results?
Answer: D i think
Step-by-step explanation:
0.08 is 1/10 of what number?
Since the answer calls for a decimal, we will convert 1/10 into a decimal, which works out to be 0.1. Now, we multiply 0.1 by 0.08, which results in the decimal place moving one position to the left. Therefore, the answer is *0.008.*
PLZ HELP ME 3 MINS LEFT 100 POINTS AND BRAINLEIST
Answer:
width = 12.1
equation : P = 4w + 4.6
Answer:
The width of the rectangle is 12.1 meters
Step-by-step explanation:
Step 1: Find the width
2w + 2(w + 2.3) = 53
2w + 2w + 4.6 = 53
Step 2: Combine like terms
2w + 2w + 4.6 = 53
4w + 4.6 = 53
Step 3: Subtract 4.6 from both sides
4w + 4.6 - 4.6 = 53 - 4.6
4w = 48.4
Step 4: Divide both sides by 4
4w / 4 = 48.4 / 4
w = 12.1
Answer: The width of the rectangle is 12.1 meters
A rectangular park is 6x + 2 ft long and
3x + 7 ft wide. In the middle of the park is
a square turtle pond that is 8 ft wide. What
expression represents the area of the park not
occupied by the turtle pond? SEE EXAMPLE 6
The area of the park not occupied by the turtle pond= [tex]18 x^{2} + 48x -50 ft^2[/tex]
The length of the rectangular park given here is = [tex]6x + 2[/tex]
The breadth of the rectangular park given here is = [tex]3x + 7[/tex]
To calculate the area of the park (rectangle), firstly you are required to do = Length * breadth
So as per the values given in the question, you need to do = [tex](6x+2)(3x+7)[/tex]
After multiplying the above-given values, you will get
= [tex]18 x^2 + 42x + 6x+14 -64[/tex]
After simplifying the above value, you will get the final value or the area of the park not occupied by the turtle pond = [tex]18 x^2 + 48x -50 ft^2[/tex]
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To calculate the area of the park not occupied by the pond, first compute the total area of the park as (6x + 2)(3x + 7). Then subtract the area of the square pond, 64 sq. ft, to get the final expression for the unoccupied park area: (6x + 2)(3x + 7) - 64.
Explanation:The subject of this question is Algebra, specifically forming an expression for the area of a rectangle and subtracting the area of a square. First, calculate the total area of the rectangular park. The area of a rectangle is given by the product of its length and width. So, the total area of the park is (6x + 2)(3x + 7).
Second, find the area of the turtle pond. Since it's a square with a side length of 8ft, its area is 8*8 = 64 sq. ft.
Finally, to find the area of the park that is not occupied by the turtle pond, subtract the area of the pond from the total park area. So, the final expression is (6x + 2)(3x + 7) - 64.
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Between the time Iko woke up and lunchtime, the temperature rose by 11 degrees. Then by the time he went to bed, the temperature dropped by 14 degrees.
Write an addition expression for the temperature relative to when Iko woke up.
Answer:
[tex]T_t=x\textdegree-3\textdegree[/tex]
Step-by-step explanation:
let x° be temperature when he woke up. Given that the temperature rose by 11° then later dropped by 14°. Also let [tex]T_t[/tex] be temperature at time t The temperature relative to time of waking up can be expressed as:
[tex]T_t=x\textdegree \pm \bigtriangleup T\textdegree\\\\T_t=x\textdegree + 11\textdegree -14\textdegree\\\\T_t=x\textdegree-3\textdegree[/tex]
Hence, temperature relative to time of waking up is expressed as
[tex]T_t=x\textdegree-3\textdegree[/tex]
Deion Sanders can run the 40 yard dash in 4.19 seconds. At this rate, how long would it take him to run a mile?
**hint** There are 1760 yards in a mile.
Approximately 3:07 minutes Approximately 184.36 minutes Approximately 420 seconds Approximately 7 minutes
Answer:
184.36
Step-by-step explanation:
If you times 40×45=1760 so you have to times 4.19×44= The answer/ 184.36
Deion Sanders would approximately take 3 minutes and 7 seconds to run a mile at his 40 yard dash pace of 4.19 seconds, calculating his speed and using the number of yards in a mile to find the total time needed.
To calculate the time it would take Deion Sanders to run a mile at his 40 yard dash pace, we first determine his speed over that distance. We know he runs 40 yards in 4.19 seconds, so we can calculate his speed as follows:
Speed = distance / time
Speed = 40 yards / 4.19 seconds
Speed = 9.55 yards/second (approximately)
Since there are 1760 yards in a mile, to find out how long it will take to run a mile, we divide the total yards in a mile by the speed:
Time to run a mile = distance / speed
Time to run a mile = 1760 yards / 9.55 yards/second
Time to run a mile = 184.293 seconds (approximately)
Converting seconds to minutes yields approximately:
184.293 seconds = 3.07155 minutes (184.293 seconds / 60 seconds per minute)
This result shows that at Deion Sanders' 40 yard dash speed, it would take him approximately 3 minutes and 7 seconds to run a mile.
What is 0.82 divided by 0.0082
Answer:
100 . -angie :) . pls trust me
dont forget to mark me brainliest!
Answer: [tex]100[/tex]
Step-by-step explanation:
Move the decimal to the left 2 times to get your answer
Before:
.82
After:
0.0082
You Move the decimal 2 times to the left to get your answer.
If your answer was 10 you will move the decimal 1 time to the left and get 0.082
Which shows two triangles that are congruent by the sss congruence theorem?
Answer: Triangles can be similar or congruent. Similar triangles will have congruent angles but sides of different lengths. Congruent triangles will have completely matching angles and sides. Their interior angles and sides will be congruent. Testing to see if triangles are congruent involves three postulates, abbreviated SAS, ASA, and SSS.
Step-by-step explanation:
Answer:
D is the correct answer if you have this pic in your question then its this one pls like if its right thanks
Step-by-step explanation:
K/6 = 15/18
Solve the proportion
Answer:
k = 5
Step-by-step explanation:
Step 1: Cross multiply
k/6 = 15/18
k(18) = 6(15)
18k = 90
Step 2: Divide both sides by 18
18k / 18 = 90 / 18
k = 5
Answer: k = 5
Another way to do it is to multiply both sides by 6
k/6 * 6 = 15/18 * 6
k = 90 / 18
k = 5
Answer: 5
Step-by-step explanation: To solve for k in the given proportion, we use the means-extremes property. The product of the extremes, (k)(18), equals the product of the means, (6)(15).
So we have (k)(18) or 18k = (6)(15) or 90.
Now we have the equation 18k = 90.
Dividing both sides by 18, k = 5.
It's a good idea to check the answer in these types of problems so if we plug a 5 back in for k in the original proportion, we have [tex]\frac{(5)}{6}= \frac{15}{18}[/tex] which is a true statement since 15/18 reduces to 5/6.
r varies directly as s. Find r when s=10 and k=4
Step-by-step explanation:
Since, r varies directly as s
[tex] \therefore \: r \: \: \alpha \: \: s \\ \therefore \: r = k s..(1) \: \\ (k = \: constant \: of \: proportionality ) \\ plug \: s = 10 \: and \: k = 4 \: in \: equation \: (1) \\ r = 4 \times 10 \\ \huge \red{ \boxed{ \therefore \: r =40}}[/tex]
Answer:
40
Step-by-step explanation:
r = ks = 4(10) = 40
the table in the lesson shows the number of sets of twins, triplets, quadruplets, and quintuplets registered at a twin convention. write and evaluate an expression for the total number of people who registered at the convention.
Twins: 2697
Triplets: 29
Quadruplets: 2
Quintuplets: 1
Order of operations 1.3
Answer:
5494
Step-by-step explanation:
Assuming all members of each set registered, the total number is ...
2(2697) +3(29) +4(2) +5(1) = 5494
__
Since you're concerned with order of operations, perhaps you want to see the working out.
= 5394 + 87 +8 +5 . . . . perform all the multiplications
= 5481 +8 +5 . . . . . . . . . perform addition left to right
= 5489 +5
= 5494
Classify these numbers as rational or irrational
-4/5, 2.5, 0.4, √16 are rational and √2 is irrational.
Step-by-step explanation:
The rational number can be written in the form of fraction that can be simplified into a integer.The irrational number cannot be written in the form of fraction.-4/5 is a rational number.
Reason: It is in the fraction form with -4 in the numerator and 5 in the denominator. .
√2 is irrational.
Reason: since it cannot be written as a fraction.
2.5 is rational number.
Reason: It can be written in the form of fraction such as 5/2.
0.4 is represented with a bar above the 4 which means that 4 gets repeated. It is a rational number
Reason: because it an integer.
√16 is rational.
Reason: It can be simplified as +4 or -4 which are integers.
f. -10x >45
Solve the two step inequality
Answer:
x < -4.5
Step-by-step explanation:
Step 1: Solve for x
-10x / -10 > 45 / -10
When dividing or multiplying by a negative, the sign flips.
x < -4.5
Answer: x < -4.5
In Mrs. Williams class there are 13 students. They each have 4 pieces of white paper. Some of the students, s, also have 3 pieces of blue paper each. In all, the students have 64 pieces of paper. Which equation represents this situation?
A. (13 × 3) + s = 64
B. (s × 3) + 13 = 64
C. s × 3 = 64
D. (13 × 4) + (s × 3) = 64
Answer:
answer is D
Step-by-step explanation:
If 12 bagels are 5 dollars then how many bagels can you get for $50
Answer: 120 bagels
Step-by-step explanation:
If it goes from five dollars to fifty dollars you multiply by ten
You must o the same thing to the amount of bagels to get the answer
5 times 10 is 50
12 times 10 is 120
Answer:
120
Step-by-step explanation:
12-5
24-10
36-15
48-20
60-25
72-30
84-35
96-40
108-45
120-50
Sheila went to the fair and spent a total of $40. She paid $16 for a ticket to the fair, and she played some games at the fair for $3 each. Which equation could be used to determine the number of games, x, Sheila played?
1. Mrs. Brown had $16 dollars in her
wallet. After shopping at the store, she
now has $8. How much money did
Mrs. Brown spend at the store?
Final answer:
Mrs. Brown spent $8 at the store, which is found by subtracting her remaining amount of $8 from her initial amount of $16.
Explanation:
The amount of money Mrs. Brown spent at the store can be calculated by subtracting the amount she had after shopping from the amount she had before going to the store. Mrs. Brown had $16 before shopping and was left with $8 after shopping. Therefore, to calculate how much money she spent, we would perform the following subtraction:
$16 (before shopping) - $8 (after shopping) = $8 (spent)
Hence, Mrs. Brown spent $8 at the store.
Triangle ABC is similar to triangle YBX. Find the value of n. The figure is not drawn to scale.
Answer:
16
Step-by-step explanation:
Set up a proportion: 27/12=36/n
Solve algebraically: 27n=432
n=16
Therefore, 16
Are triangles DEF and LNM similar if DF = 8 and LM = 4?triangles LNM and DEF with angles N and E marked with the right angle symbol Yes, by the SAS Similarity Postulate Yes, by the definition of similarity No, the corresponding sides are not proportional No, there is not enough information
Answer:
Option D) No, there is not enough information
Step-by-step explanation:
We are given the following in the question:
A triangles DEF and triangle LNM
[tex]\angle N = \angle E = 90^\circ\\DF = 8\\LM = 4[/tex]
Similarity of triangle can be proved in the following manner:
AASSSSASSince from the given information, it is not possible to prove the similarity of the triangles due to incomplete information, the triangles cannot be proved similar by any postulate.
Thus, the correct answer is
Option D) No, there is not enough information
Answer:
D
Step-by-step explanation:
Cuz Im just right
How do u find the density of a sphere
Answer:
Step-by-step explanation:
The formula to find density of a sphere is mass/volume.
Density in simple words means the relation between weight and size of a substance. It is basically related to the compactness of a substance.It is a very useful characteristic and every material has density.
To calculate density, we must calculate the mass and volume of the substance.
p=m/v
where p= density, m= mass of substance, v= volume of substance
Formula to calculate the volume of a sphere = 4/3 [tex]\pi r^{3} \\[/tex]
Therefore, density p =[tex]m/4/3\pi r^{3}[/tex]
p = 3m/4 [tex]\pi r^{3} \\[/tex]
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how can you get 3 1/2x alone on the left side of the equation 3 1/2 x + 215 = 495? what is the resulting equation?
Answer:3 1/2x = 280
Step-by-step explanation: Subtract 215 from both sides.
Answer:
subtract 215 from both sides
x = 80
Step-by-step explanation:
to get the 3 1/2 x alone subtract 215 from both sides.
this moves it to the other side.
495-215 =280
3 1/2 x = 280
divide both sides by 3 1/2
this will solve for x
x = 80
i am testing to see how this works anyone can respond
Answer:
oh
Step-by-step explanation:
ok
the answer must be a correct answer
Find the rule. Solve for n. Answer quick please :)
Answer:
9
Step-by-step explanation:
Can you please help me solve J/7 = -6
Answer:
The answer is J = -42
Step-by-step explanation:
if j/7 = -6
Then J = -6 ×7
J = -42
Need ASAP i will give 10 points
How many data points are missing on the scatter plot graph, if any? A) 0 B) 1 C) 2 D) 3
Answer:
B) 1
Step-by-step explanation:
There are 8 pairs of data in the table but only 7 points plotted in the graph,
hence there must be 1 point that is missing from the graph.
It turns out that the missing point that was not plotted is (10, 2.5)
Answer:
B) 1
Step-by-step explanation:
Help me on 14 and 15
Answer:
#14:He has enough gas because he has 3/4 and it is equivalent to 0.75 and 1/4 is equivalent to 0.25 if you add 0.25 twice you get 0.50 therefore you have 0.25 of gas left over
i hope this helps
Answer:
10/12 -8/12 this is like subtracting 10 -8 =2 you keep the denominator which is 12 and u end up with 2/12 simply and you get 1/6
The bearing of point Y from point X is 070°.
The bearing of point Z from point Y is 125°.
The bearing of point Z from point X is 110°.
Find the bearing of point X from point Z.
Answer:
290°
Step-by-step explanation:
The bearing of X from Z can be calculated for as shown in the attached photo.
I need help please and thank you
Answer:
c = 13
Step-by-step explanation:
2 ways of going about in this problem
1. If you have done enough Pythagorean theorem problems, you might be able to memorize some common right triangle side lengths, such as 3-4-5 or
5-12-13
2. actually using Pythagorean theorem
[tex]a^2+b^2=c^2[/tex], where c is hypotenuse
c = [tex]\sqrt{5^2+12^2}[/tex]
c = [tex]\sqrt{169}[/tex] = 13
Solve the equation
5x + 8 - 3x = -10
OX= -9
O x = -1
ON=1
O X = 9
Answer:
A. X= -9 hope this helps alot
The requried solution of equation 5x + 8 - 3x = -10 is x = -9. Option A is correct.
We can simplify the equation by combining like terms:
5x + 8 - 3x = -10
2x + 8 = -10
2x = -10 - 8
2x = -18
x = -18/2
x = -9
Therefore, the solution to the equation is x = -9.
Hence, the answer is option (A) x= -9.
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