The circumference of the circle is found by first determining the side length of the square, then using that to calculate the diameter and radius of the circle. Using 3.14 as an approximation for pi, the circumference is calculated to be 37.7 meters when rounded to the nearest tenth.
To find the circumference of the circle when the square has an area of 144 m², we first determine the side length of the square using the formula for the area of a square, A = a², where A is the area and a is the side length.
A = 144m²
a = 12m
Since the area is 144 m², the side length of the square is "12 m (since 12 x 12 = 144).
Since the circle fits perfectly within the square, the diameter D of the circle is equal to the side length of the square. Therefore, D = 12 m. The radius r is half the diameter, so in this case, r = 6 m.
The formula for the circumference C of a circle is C = 2πr.
C = 2 x 3.14 x 6 m = 37.68 m
The circumference is 37.7 m.
Zach is 4 years older than twice his sister Maya’s age.
Let m represent Maya’s age.
Which expression represents Zach’s age?
2m
2m + 4
m + 4
4m + 2
Answer:
It's 2m + 4
Step-by-step explanation:
Solve the inequality W > Y plus H all divided by P for H.
Answer:
WP − Y > H
Step-by-step explanation:
I did the test and got it right
According to the diagram, a 13-foot ladder leans against a 12-foot wall. The distance from the base of the ladder to the base of the wall is 5 feet. Based on this information, which trigonometric ratio has the value 125?
tan C
cos C
tan A
sin A
The correct answer is tan A
Answer:
tan A
Step-by-step explanation:
Using the notation SOH CAH TOA
sin = opp/hyp
cos = adj/hyp
tan = opp/adj
from the triangle,
hyp = 13 while opp and adj are 12 and 5 respectively
therefore, the ratio 12:5
= tan = opp/adj = 12/5
allyson and adrian have decided to connect their ankles with a bungee cord; one end is tied to each person's ankle. the cord is 30 ft long but stretches to 90 ft. they both start from the same location. allyson moves 10 ft/sec and adrian moves 8 ft/sec in the directions indicated. a) after 2 seconds will the slack in the cord be used up? b)determine when the bungee cord first becomes tight, where are the girls located? c) when will the bungee cord first touch the corner of the building? (using similar triangles)
Final answer:
Allyson and Adrian have a 30 ft long bungee cord that stretches to 90 ft. After 2 seconds, the slack in the cord will not be used up. The bungee cord first becomes tight after 3 seconds, when Allyson reaches the end of the cord and Adrian has stretched it completely. The bungee cord first touches the corner of the building when Adrian has traveled twice the height of the building.
Explanation:
Physics - Elasticity and Motion:
a) After 2 seconds, Allyson would have moved a total distance of 10 ft/sec × 2 sec = 20 ft. Adrian would have moved a total distance of 8 ft/sec × 2 sec = 16 ft. Since the cord is 30 ft long and stretches to 90 ft, after 2 seconds, the slack in the cord would not be used up.
b) To determine when the bungee cord first becomes tight, we need to find the time it takes for one person to reach the end of the cord and the other person to stretch the cord completely. Allyson will take 30 ft ÷ 10 ft/sec = 3 sec to reach the end, while Adrian will take 30 ft ÷ 8 ft/sec = 3.75 sec to stretch the cord completely. Therefore, the bungee cord first becomes tight after 3 seconds, when Allyson is at the end of the cord and Adrian has stretched it completely.
c) To determine when the bungee cord first touches the corner of the building, we can use similar triangles. The ratio of the stretched length of the cord to the original length is the same as the ratio of the horizontal displacement to the height of the building. Let's assume the height of the building is H. Then, (90 ft - 30 ft) ÷ 30 ft = x ÷ H, where x is the horizontal distance traveled by Adrian. Solving for H, we find H = (90 ft - 30 ft) ÷ 30 ft × x = 2x. Therefore, the bungee cord first touches the corner of the building when Adrian has traveled twice the height of the building.
Henry initially has 523 baseball cards. He buys 24 cards each month.
What is a explicit rule for the number of baseball cards Henry has in n months?
Answer:
I know I am answering 5 years late but...
the correct answer is
an= 24n + 499
I go to k12 and got this correct on my test :))
Please mark brainlyiest if possible because I just need 2 more brainlyiest until I reach Virtuoso. Also leave a thanks if you found this helpful!
The product of a number and 3, increased by 5, is 7 less than twice the number. which equation can be used to find this number, n?
The equation which can determine the number n for the given condition is 3n + 5 = 2n - 7 and that number will be -12.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Given that,
The product of a number and 3 = 3n
Increased by 5 = 3n + 5
7 less than twice the number = 2n - 7
Therefore,
3n + 5 = 2n - 7
3n - 2n = -7 - 5
n = -12
Hence "The equation which can determine the number n for the given condition is 3n + 5 = 2n - 7 and that number will be -12".
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What is the radius of a sphere that has a surface area of 196π sq ft?
A total of 333 tickets were sold for the school play. they were either adult tickets or student tickets. the number of student tickets sold was two times the number of adult tickets sold. how many adult tickets were sold?
After setting up a system of equations to represent the total number of tickets and the relationship between student and adult tickets, the equations were solved to find that 111 adult tickets were sold.
The question involves solving a numerical problem where we are given that 333 tickets were sold for a school play, consisting of adult tickets and student tickets. The number of student tickets is twice the number of adult tickets sold. We can express this with two equations and solve for the number of adult tickets.
Let A be the number of adult tickets and S be the number of student tickets. The following equations represent the system we need to solve:
A + S = 333 (Total number of tickets)
S = 2A (Number of student tickets is twice the number of adult tickets)
To solve for A, we can substitute the second equation into the first:
A + 2A = 333
3A = 333
A = 333 / 3
A = 111
Therefore, 111 adult tickets were sold.
Simplify (10 + 3i)(5 – 2i) ...?
Which of these is the first step in constructing a congruent segment?
a.
draw a ray
c.
label two points
b.
draw a point
d.
measure the segment
Answer:
d. measure the segment
Step-by-step explanation:
Two segment is said to be congruent segment if the measure of both segments are same and identical to each other.
So, for drawing congruent segments firstly we have to measure the segment.
Then draw a point.
Then label two points
and lastly draw a ray.
Which expression has the most number of significant figures?
A. 190
B. 1.8
C. 26
D. 206
The slope of the line below is 2. use the coordinates of the labeled point(3,10) to find the point-slope equation of the line
A. y-10=-2(x-3)
B. y+10=2(x+3)
C. y-10=2(x-3)
D. y+10=-2(x+3)
The point-slope equation of the line is option (C), y-10 = 2(x-3) is the correct answer.
What is slope of a line?The slope or gradient of a line is a number that describes both the direction X and Y and the steepness of the line. It is the ratio of the vertical change to the horizontal change between any two distinct points on a line.
For the given situation,
The slope of the line, m = 2
The coordinates of the labeled point, (x1, y1) = (3,10)
The point-slope equation of the line is
[tex](y-y1)=m(x-x1)[/tex]
On substituting the above values,
⇒ [tex]y-10=2(x-3)[/tex]
Hence we can conclude that the point-slope equation of the line is option (C), y-10 = 2(x-3) is the correct answer.
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Convert 96.5 decaliters to hectoliters
Can someone solve this and show me the work √5k+2 +8=11
Which shows the conversion of 0.56 mm to inches?
There is 0.03937 inch in 1 millimeter.
A.
0.56 mm × 0.03937 in./mm = 0.022 inches
B.
0.56 mm × 0.03937 in./mm = 2.2 × 10^-3 inches
C.
0.56 mm + 0.03937 in./mm = 0.59937 inches
D.
0.56 mm ÷ 0.03937 in./mm = 14.22 inches
logarithm equation. Show the steps to solve. 400/1+e^-x=350
x-intercept=2; containing the point (-5,4), using either the general form or the slope-intercept form of the equation of a line.
...?
What is the solution to this system: y=2x+3 and -4x+2y=6
No Solutions
Infinite Solutions
(2,4)
(3,5)
Will Upvote you!
Evaluate the function rule for the given value.
y = 8 ∙ 3^x for x = 4
A: 96
B: 1944
C: 647
D: 648
Leaving hints or clues about the future events would be considered:
symbolism
metaphor
irony
foreshadowing < this one right?
mehek14 i would love for you to be the one the help me other ppl u try 2 c:
QUESTION 1
(-3X) + 40 = 38
QUESTION 2
5(X + 6) = 50
QUESTION 3
(1/4)X + 24 = 36
QUESTION 4
(-3/4) X + 2 = (½ )X + 6
QUESTION 5
3X + 14 = 6X +11
QUESTION 6
Using substitution, determine if the given value is the solution to the equation.
(2/3)X + 20 = 100 ; X = 120
Yes
No
QUESTION 7
(-16X) - 34 = 30 ; X = 4
Yes
No
QUESTION 8
3X - 72 = (-2) + X; x=70
yes
no
QUESTION 9
Tony and Kara were keeping track of the ball game. At the end of the game, Tony thought that the home team had scored 5 runs, but Kara thought that they scored 3 runs. The announcer said that the home team's final score was the same as the solution to the equation: 45X - 16 = 5X +104.
Who has the correct score?
Tony
Kara
Neither
QUESTION 10
Michelle wanted to buy a small bag of popcorn. There were two signs by the popcorn bin. One sign said that the large popcorn BAG cost $1.50. The other sign listed the small popcorn bag but the price was missing. The price of the small popcorn bag is the same as the solution to the equation: 4(X + 7) = 30.
What is the price of the small popcorn bag?
Jared is 10 years old and Peter is 15 years old. Together they run 150 yards. How far does each brother run.
let f(x) = x 8 and g(x) = x2 - 6x - 7. find f(g(2)). select one:a. -7b. -3c. 10d. 33
What is the common difference between the elements of the arithmetic sequence below?
–18, –22.5, –27, –31.5, –36
why must s-phase occur before mitosis?
...?
a triangle has a side length of 4 inches and an area of 18 square inches and a larger similar triangle has a corresponding side length of 8 inches. Find the area of the larger tringle ?
...?
The area of the larger similar triangle can be calculated using the proportion of the squares of the lengths of the corresponding sides. Using this principle, we find that the area of the larger triangle is 72 square inches.
Explanation:In mathematics, the area (Area) of similar triangles is proportional to the square of their corresponding sides. Given that the side length of the smaller triangle is 4 inches and the side length of the larger similar triangle is 8 inches, we can set up an equation relating the side lengths and areas of the two triangles. The smaller triangle has an area of 18 square inches, and we'll call the area of the larger triangle A.
The equation is (Area of larger triangle / Area of smaller triangle) = (Side of larger triangle / Side of smaller triangle)2. Substituting the given values, we get (A / 18) = (8 / 4)2. Simplifying the right side of the equation gives us (A / 18) = 4. Multiplying each side of the equation by 18 allows us to solve for A, indicating that the area of the larger triangle is 72 square inches.
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The area of the larger triangle is 72 square inches.
Given that the smaller triangle has a side length of 4 inches and an area of 18 square inches, and the larger triangle has a corresponding side length of 8 inches, we can calculate the ratio of the side lengths:
[tex]\[ \text{Ratio of side lengths} = \frac{\text{Side length of larger triangle}}{\text{Side length of smaller triangle}} = \frac{8}{4} = 2 \][/tex]
Now, we can find the ratio of the areas of the two triangles by squaring the ratio of their side lengths:
[tex]\[ \text{Ratio of areas} = \left(\frac{8}{4}\right)^2 = 2^2 = 4 \][/tex]
Since the area of the smaller triangle is 18 square inches, we can find the area of the larger triangle by multiplying the area of the smaller triangle by the ratio of the areas:
[tex]\[ \text{Area of larger triangle} = \text{Area of smaller triangle} \times \text{Ratio of areas} \] \[ \text{Area of larger triangle} = 18 \times 4 \] \[ \text{Area of larger triangle} = 72 \text{ square inches} \][/tex]
Therefore, the area of the larger triangle is 72 square inches.
help me please i dont know how to solve this
The present value of $12,000 for six years compounded at 6% semiannually is
I need help on geometry proofs<br />
(x+y^2)(2x+3y^2) what is the product