Answer : The value of 'x' is [tex]\frac{1}{2}[/tex]
Step-by-step explanation :
As we know that,
The perimeter of square = 4a
The perimeter of equilateral triangle = 3s
('a' is the side square and 's' is the side of equilateral triangle)
Given:
Side of square = a = 2x
Side of equilateral triangle = s = (2x+1/3)
As per question, the square and the triangle have the same perimeter. That means,
Perimeter of square = Perimeter of equilateral triangle
4a = 3s
Now put the value of 'a' and 's', we get the value of 'x'.
[tex]4\times (2x)=3\times (2x+\frac{1}{3})[/tex]
[tex]8x=6x+1[/tex]
[tex]8x-6x=1[/tex]
[tex]2x=1[/tex]
[tex]x=\frac{1}{2}[/tex]
Therefore, the value of 'x' is [tex]\frac{1}{2}[/tex]
solve for q.
k=4pq^2
I'll give brainliest if you show your work.
Jeremy surveyed students in his class about their spending habits in the school cafeteria. He used the data to create a scatterplot.
How Students Spend Money in the Cafeteria
Which is the equation of his trend line?
y= 2.75x
y= 3.05x- 0.6
y= 3.25x- 1
y= 9.75x- 14
Answer:
[tex]y=3.25x-1[/tex]
Step-by-step explanation:
step 1
Find the slope
we have the points
(2,5.5) and (5,15.25)
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute
[tex]m=\frac{15.25-5.5}{5-2}[/tex]
[tex]m=\frac{9.75}{3}=3.25[/tex]
step 2
Find the equation of the line in slope intercept form
y=mx+b
we have
[tex]m=3.25\\point\ (2,5.5)[/tex]
substitute
[tex]5.5=3.25(2)+b[/tex]
solve for b
[tex]b=-6.5+5.5=-1[/tex]
therefore
[tex]y=3.25x-1[/tex]
Answer: c
Step-by-step explanation:
Solve the system of linear equations by elimination.
x+y=3
x−y=1
I need the solution so ordered pair (x,y)
I need help on question #84 !
besides the 90 degree angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13
Answer:
b.) 23° and 67°
Step-by-step explanation:
Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round to the nearest degree.
a.) 18° and 39°
b.) 23° and 67°
c.) 43° and 47°
d.) 65° and 25°
Describe a real-world situation that the graph could represent
An element with mass 780 grams decays by 17.1% per minute. How much of the element is remaining after 19 minutes to the nearest 10th of a gram
Answer:
Just 22.1
Step-by-step explanation:
if you dont want to see step by step like the one above just put in 22.1
Instructions: Select the correct answer.
If the radius of a flying disc is 7.6 centimeters, what is the approximate area of the disc?
A. 23.864 square centimeters
B. 90.6832 square centimeters
C. 181.3664 square centimeters
D. 238.64 square centimeters
Answer:
the answer would be C
Step-by-step explanation:
in a art class,40% of the students used watercolors for painting.Ten students in art class used watercolors.How many students were there in the class
what is equivalent to 3 to the negative 2nd power
write the rule for this pattern 5, 20, 80, 320
give all of the possible numbers that could be hals mystery one-digit number
15% of 20 is _____. a3,b30,c 300
Can someone help me with A), B), and C)
X+23=-23 solve for x pls help !!!!
What is the slope of the line of best-fit in the scatterplot below?
9/27
3/7
7/3
27/9
Answer:
Option C is correct
7/3
Step-by-step explanation:
Formula for slope is given by':
[tex]\text{Slope} = \frac{y_2-y_1}{x_2-x_1}[/tex] ....[1]
As per the statement:
The graph shows the best fit line scatter-plot.
Consider two points i.e
(3,12) and (6, 19)
Substitute these points in [1] we have;
[tex]\text{Slope} = \frac{19-12}{6-3}[/tex]
⇒[tex]\text{Slope} = \frac{7}{3}[/tex]
Therefore, the slope of the line of best-fit in the scatter plot is, 7/3
A kilometer is more than one half a mile true or false!
What is .58 as a fraction in simplest form
This cylindrical fish tank has a height of 36 inches and a diameter of 30 inches. What is the volume of the fish tank?
The volume of the cylindrical fish tank is 25446.90 inches cube.
What is the volume of a right circular cylinder?Suppose that the radius of considered right circular cylinder be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \pi r^2 h \: \rm unit^3[/tex]
The formula for the volume of a cylinder is:
The area of cross-section x the height.
Since the cross-section is a circle, we use the formula π x r²
Radius= 30 / 2 =15
Thus, Area of cross-section
π x 15² = 706.8583471 inches²
Now that we know the area of the cross-section,
706.8583471 x 36 = 25446.90049
= 25446.90 (2dp)
So. the volume is 25446.90
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Now reverse your process to describe the pattern represented by the rule y = −2x + 13. Be as detailed as you can. HEEELLLLLLLLLPPPPP PLEAAASEEE
A student reports three trials to measure the density of an unknown metal. The percent error in these trials is given in the table. Trial Count Percent Error Trial 1 0.05 Trial 2 0.02 Trial 3 0.01 Indicate the most accurate valu
What is the area of a square rug that measures 6 feet on a side? 3 square feet 24 square feet 12 square feet 36 square feet
Kenya has 2 hours to work a 100 problem math test.At what rate must she work in order to finish in 2 hours
Answer:
Kenya should solve the problems at the rate 0.83 questions per minute.
Step-by-step explanation:
Total number of hours Kenya has to work on 100 questions is 2 hours .
2 hours = 2x60=120 minutes.
Kenya has to work on 100 problems in 120 minutes .
In 1 minute Kenya can solve 100 ÷ 120= 0.83 questions per minute.
Kenya should solve the problems at the rate 0.83 questions per minute.
how to find answers for 4th grade Mixed number addition homework link 5 - 4?
!!!15 POINTS!!! A rectangle is 13 yards long and 23 yards wide. What is the area of the rectangle? Enter your answer in the box as a fraction in simplest form.
Answer:
i think the answer should be
2/9 yd2
hope i helped :)
The required area of the rectangle with dimensions 13 yards long and 23 yards wide is 299 square yards.
How to calculate the area of the rectangle?In order to evaluate the area of the rectangle we must know the length and width of the rectangle and put this measure of length and width of the rectangle in the formula of area,
Area of the rectangle = length × width
Here,
From the question,
we have length = 23 yard and width = 13 yards
Area of the rectangle = 23 × 13
= 299 square yards
Thus, the required area of the rectangle with dimensions 13 yards long and 23 yards wide is 299 square yards.
Learn more about rectangles here:
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which number dose 5 represent a value 10 times the value represented by 5 in 35,187
In 35,187, the digit 5 represents 50,000. Ten times this value is 500,000. Therefore, in the new number, the digit 5 represents 500,000.
To find the value represented by the digit 5 in the number 35,187, we need to consider its place value. In the given number, 5 is in the ten-thousands place, which means it represents 5 * 10,000 or 50,000.
Now, we're asked to find a number where 5 represents a value ten times that of its representation in 35,187. So, we need to multiply 50,000 (the value represented by 5 in 35,187) by 10.
50,000× 10 = 500,000.
Therefore, in the new number, the digit 5 represents 500,000.
To summarize, the number where 5 represents a value ten times its representation in 35,187 is 500,000.
complete question=
Which number represents a value 10 times the value represented by 5 in 35,187?
Frank’s electric bill has a cycle day of the 3rd and a due date 8 days later with a one day grace period. What happens if Frank pays his electric bill on the 12th of the month?
Frank’s electric bill has a cycle day of the 3rd
And the due date of the bill is 8 days later
that is 3+8 = 11th of that month is the due date
The bill is to be paid by 11th
But 1 day grace period is given
So
11+1
=12
If one pays the bill by 12th of that month , then no penalty will be imposed.
And
Frank pays his electric bill on the 12th of the month
So no penalty will be imposed.
using the image below find the y value for the point that divides the line segment cd into ratio 4:1
Answer:
A) 2
Step-by-step explanation:
In recent years, 23.8% of all registered doctors were female. If there were 57,800 female registered doctors that year, what was the total number of registered doctors?
Final answer:
To determine the total number of registered doctors, one can use the percentage of female doctors and the number of female doctors to calculate the overall total. By dividing 57,800 by 0.238, you find there were approximately 242,857 registered doctors.
Explanation:
The question asks for the total number of registered doctors, given that 23.8% are female and there are 57,800 female registered doctors. To find this, we use the formula:
Percentage (%) = (Part/Total) × 100
First, we express the percentage as a decimal by dividing it by 100, so 23.8% becomes 0.238. Next, we will rearrange the formula to solve for the Total:
Total = Part / Decimal Percentage
So we have:
Total = 57,800 / 0.238
Doing the calculation:
Total = 242,857 (approx.)
Therefore, the total number of registered doctors is approximately 242,857.
For the data set summarized in the boxplot, identify the interquartile range (IQR).
A) 22.0
B) 37.5
C) 57.0
D) 59.0
The interquartile range of the data set summarized in the boxplot is 22.
What is the interquartile range?The interquartile range is the difference between the third quartile and the first quartile. On a boxplot, the third quartile is the third line on the box and the first quartile is the first number on the box.
Interquartile range = 70 - 48 = 22
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