Answer:
\(\begin{gathered} 1.\text{ 62.8 inches} \\ 2.\text{ 10 inches} \end{gathered}\)Step-by-step explanation:
Since the rectangle is 8 inches by 10 inches, the circles are:
1. Use the equation of the perimeter of a circle, the radio of the circle is 1 inch, therefore:
*There are 14 half circles (7 full circles) and 4 of the 3/4 circles.
\(\begin{gathered} \text{ Total perimeter= }7\cdot(2\cdot\pi\cdot1)+4\cdot(\frac{3}{4}\cdot(2\cdot\pi\cdot1)) \\ \text{ Total perimeter=}20\pi \\ \text{ Total perimeter=62.8 inches} \end{gathered}\)2. Now, for the radius of the wireframe if you stretched out the perimeter would be 62.8 inches, substitute for the perimeter and solve for the radius:
\(\begin{gathered} 62.8=2\cdot\pi\cdot r \\ r=\frac{62.8}{2\pi} \\ r=10\text{ inches} \\ \text{ The radius would be 10 inches.} \end{gathered}\)Which expressions are equivalent to -3(2w + 6) - 4
Calculate the perimeter
Answer:
sorry i cannot help you
what should be subtracted from 7/12+7/8 to obtain the multiplicated inverse of (4/3-4/9)
To find the subtracted value, we need to calculate the multiplicative inverse of (4/3 - 4/9) and then subtract it from the sum of 7/12 and 7/8.
First, let's find the multiplicative inverse of (4/3 - 4/9):
Multiplicative inverse = 1 / (4/3 - 4/9)
To simplify the expression, we need a common denominator:
Multiplicative inverse = 1 / ((12/9) - (4/9))
= 1 / (8/9)
= 9/8
Now, we need to subtract the multiplicative inverse from the sum of 7/12 and 7/8:
Subtracted value = (7/12 + 7/8) - (9/8)
To perform this calculation, we need a common denominator:
Subtracted value = (7/12 * 2/2 + 7/8 * 3/3) - (9/8)
= (14/24 + 21/24) - (9/8)
= 35/24 - 9/8
To simplify further, we need a common denominator:
Subtracted value = (35/24 * 1/1) - (9/8 * 3/3)
= 35/24 - 27/24
= 8/24
= 1/3
Therefore, subtracting 1/3 from the sum of 7/12 and 7/8 will give you the multiplicative inverse of (4/3 - 4/9).
342000000 in scientific notation
Please help solve 3m/2/3 = 7
Answer:
the solution to the equation is m = 28/3, or approximately 9.3333
Step-by-step explanation:
To solve this equation, you need to get the variable, in this case "m," by itself on one side of the equation. To do this, you can start by isolating the fraction on the left side of the equation. You can do this by multiplying both sides of the equation by 2/3, which will cancel out the 2/3 on the left side:
3m/2/3 = 7
(2/3) * (3m/2/3) = (2/3) * 7
3m/2 = 7 * (2/3)
3m/2 = 14/3
Next, you can multiply both sides of the equation by 2 to get rid of the fraction on the left side:
(2) * (3m/2) = (2) * (14/3)
3m = 28/3
Finally, you can simplify the right side of the equation by dividing both sides by 3 to get the final solution:
(3m) / 3 = (28/3) / 3
m = 28/3
Therefore, the solution to the equation is m = 28/3, or approximately 9.3333.
Answer:
Maybe m = 14/9
Maybe m = 14
Step-by-step explanation:
It is not clear what you mean by the fraction on the left side.
Do you mean
3m/(2/3) = 7 ?
If so:
3m = 7 × 2/3
3m = 14/3
m = 14/9
Do you mean
(3m/2)/3 = 7 ?
If so:
3m/2 = 21
m = 21 × 2/3
m = 14
Do you mean something else?
The length of a rectangle is twice the width. The area is 162 yd? Find the length and the width.
The length is yd.
(SimplifyJyour answer.)
Answer:
length = 2x = 2(9) = 18 yds
Step-by-step explanation:
Let width = x
Let length = 2x
Area = 162 yd2
length × width = Area
2x(x) = 162
2x2 = 162
Divide by 2 on both sides of equation.
x2 = 81
Square-root both sides of equation to undo the exponent.
x = √(81)
x = 9
Substitute this x value into the initial variables.
width = x = 9 yds
length = 2x = 2(9) = 18 yds
Solve the problem. Round the point estimate to the nearest thousandth. 32 randomly picked people were asked if they rented or owned their own home, 8 said they rented. Obtain a point estimate of the proportion of home owners.
a. 0.200
b. 0.750
c. 0.781
d. 0.250
e. None of the above
Answer:
B) 0.750
Step-by-step explanation:
Why is because the answer is 3/4 and 3/4 in decimal form is 0.750.
1 2/3 times 2 1/4 times 3 equals what pls help
1 2/3 times 2 1/4 times 3 is equals to 11 1/4.
What is mixed fraction and how to solve the mixed fraction? A mixed fraction is a combination of a whole number and a fraction. It can also be referred to as a mixed number. It is written as a whole number followed by a fractional part, for example 3 3/5.A mixed fraction can be used to represent a part of a whole or a part of a group. For example, if five people are sharing a pizza, the fraction 5/8 could be written as a mixed fraction as 0 5/8.Mixed fractions can be solved by first converting the mixed fractions into an improper fraction. To do this, you multiply the whole number by the denominator of the fraction and add this to the numerator of the fraction. For example, the mixed fraction 3 3/5 could be written as an improper fraction as 18/5.Once the fraction is in improper form, you can use standard fraction methods to solve it. For example, if you need to find the result of 2 3/4 + 5 5/8, you would first convert the fractions to improper fractions (11/4 + 29/8) and then add them together (40/8). To write the fraction in its simplest form, you can divide both the numerator and denominator by the greatest common factor (in this case 8), giving 5/1, or 5.In summary, solving a mixed fraction requires converting it to an improper fraction, then solving it using standard fraction methods, and lastly simplifying it to its simplest form.Solution:
1 2/3 * 2 1/4 * 3 = 11 1/4
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1 2/3 times 2 1/4 times 3 is equals to 11 1/4.
What is mixed fraction and how to solve the mixed fraction?A mixed fraction is a combination of a whole number and a fraction. It can also be referred to as a mixed number. It is written as a whole number followed by a fractional part, for example 3 3/5.
A mixed fraction can be used to represent a part of a whole or a part of a group. For example, if five people are sharing a pizza, the fraction 5/8 could be written as a mixed fraction as 0 5/8.
Mixed fractions can be solved by first converting the mixed fractions into an improper fraction. To do this, you multiply the whole number by the denominator of the fraction and add this to the numerator of the fraction. For example, the mixed fraction 3 3/5 could be written as an improper fraction as 18/5.
Once the fraction is in improper form, you can use standard fraction methods to solve it. For example, if you need to find the result of 2 3/4 + 5 5/8, you would first convert the fractions to improper fractions (11/4 + 29/8) and then add them together (40/8). To write the fraction in its simplest form, you can divide both the numerator and denominator by the greatest common factor (in this case 8), giving 5/1, or 5.
In summary, solving a mixed fraction requires converting it to an improper fraction, then solving it using standard fraction methods, and lastly simplifying it to its simplest form.
1 2/3 * 2 1/4 * 3 = 11 1/4
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Determine whether the matrix is symmetric, skew-symmetric, or neither. A square matrix is called skew symmetric when A^T -A
A= | 0 -2 3|
| 2 0 1|
| -3 -1 0|
a. symmetric
b. skew~symmetric
c. neither
By looking at the matrix, we can say that matrix A is skew-symmetric. (option b)
To check whether a matrix is skew-symmetric, we need to verify if it satisfies the condition \(A^T\) = -A.
Taking the transpose of matrix A, we get:
\(A^T\) = | 0 2 -3 |
| -2 0 -1 |
| 3 1 0 |
Subtracting A from \(A^T\), we get:
\(A^T\) - A = | 0 2 -3 | | 0 -2 3 |
| -2 0 -1 | - | 2 0 1 |
| 3 1 0 | | -3 -1 0 |
= | 0 4 -6 |
| -4 0 -2 |
| 6 2 0 |
Since \(A^T\) - A is equal to the negative of A, we can conclude that matrix A is skew-symmetric. This means that the elements on the main diagonal are all zero, and the elements below the main diagonal are the negatives of the corresponding elements above the main diagonal.
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63 is 25% of what number
An unknown number (x) represents 100%.
63 represents 25%.
Then, we can use the next proportion:
\(\frac{x}{63}=\frac{100\text{ \%}}{25\text{ \%}}\)Solving for x:
\(\begin{gathered} x\cdot25=100\cdot63 \\ x=\frac{6300}{25} \\ x=252 \end{gathered}\)63 is 25% of 252
Plz help and thank you:)
Answer:
I believe it is D at least I hope so
What is the value of x for the triangle shown to the right?
Answer:
x = 6.24
Step-by-step explanation:
x =
Tan32° = OPP/ADJ
Tan32° = x/10
0.624 = x/10
cross-multiply
x = 6.24
Find the difference 7/9 - 5/13 in lowest term
Answer:
46/117
Step-by-step explanation:
Answer:
46/117
Step-by-step explanation:
this is a type of fraction which can not be simplified
What is 3 5/8 minus 2.5
Answer:
1.125
Step-by-step explanation:
Answer:
Step-by-step explanation:
To help put this into simpler terms, we can convert 2.5 to 2 4/8,
Now we just subtract
3 5/8-2 4/8=1 1/8
Let me know if you have any questions
-10.12 + 51 + 3
212 + 4
Select the true statement
What is the range for the function?
A) {1,12}
B) {1,4,9,12}
C) {2,3,4}
D) {4,9}
the answer for this one is b
SOMEONE PLEASEEEE HELP
“the graph shows a line and two similar triangles. what is the equation of the line”
A - y=3x+3
B - y=3/4x+3
C - y=4/3x+3
D - 4x+3
Answer:
Step-by-step explanation:
The line contains the points (0,3) and (6,11).
first find the slope with slope formula.
m=(11-3)/(6-3)
=8/2
=4.
you know the y-intercept is 3, so use slope-intercept form
y=4x+3
Sorr I'm dumb :P... ooooooooooooooooooooooooooooof for meeeeeeeeeeeeh
Can someone help me please and thank you
let x feet be the highest of the boxes , and y be the number of boxes.
the answer is coming as 15 feet for 20 boxes and 12 boxes to reach the ceiling of 9 feet high
hello can you help me with this question
Answer:
B. x is less than or equal to 5
Step-by-step explanation:
The dot is on 5 and is also a solid dot which means it is less than or equal to or greater than or equal to
In this case it is less than or equal to because the line goes to the left
Hope this helped!
Find the Area of the figure below, composed of a parallelogram and one semicircle. Rounded to the nearest tenths place
Please see the picture
Help
Test
Answer:
175.1
Step-by-step explanation:
Find the area of the semicircle:
(pi • radius²) / 2. [Radius is half of diameter]
(3.14 • 4²) / 2
(3.14 • 16) / 2
(50.24) / 2
25.12
Find the area of the parallelogram:
(base • height)
(30 • 5)
150
Add the areas of both shapes to get total area
25.12 + 150 = 175.12, round to the nearest tenths, 175.1
Hope this helps!
How much Leila pays in total for the model
Choose 2
Express each set using the roster method
A. The set of natural odd numbers greater than 2, but less than 11
B. {x|x€N and 4
The elements using rooster-method:
A){3,4,5,6,7,8,9,10}
B){5,6,7,8,9,10,11,12,13,14}
What is rooster-method?
By listing the items of a set inside brackets, the roster method may be used to display the elements of a set. One of three ways to describe a set is in rooster form. The items of a set are listed in the roster form between curly or following brackets, with commas separating each element. When items repeat in the set, the roster approach actually has an issue. Because the elements do not follow a pattern or have a specific order, it is impossible to describe the elements in roster notation if the set has a significant number of elements or any repeated elements.
A)Set of natural odd numbers greater than 2 but less than 11:
Let us represent the set using symbol O:
O = {3,4,5,6,7,8,9,10}
B){x| x∈ N and 4<x<15}
Given that x is a natural number greater than 4 but less than 15.
X={5,6,7,8,9,10,11,12,13,14}
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PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
m=-3/2
b=3
equation f(x) = -3/2x +3
Proportional
negative slope
Step-by-step explanation:
The sum of the lengths of the two bases of a trapezoid is 22 cm and its area is 66 cm2.
What is the height of the trapezoid
Answer:
h = 6 cm
Step-by-step explanation:
Given that,
The area of a trapezoid, A = 66 cm²
The sum of the lengths of the two bases of a trapezoid is 22 cm.
We need to find the height of the trapezoid.
The area of a trapezium is given by :
\(A=\dfrac{1}{2}\times (\text{sum of parallel sides})\times \text{height}\)
Substitute the values,
\(h=\dfrac{2A}{\text{sum of parallel sides}}\\\\h=\dfrac{2\times 66}{22}\\\\h=6\ cm\)
So, the height of the trapezoid 6 cm.
How many commutes are exactly 68 minutes
Answer:
three
Step-by-step explanation:
stem. is the tens place and the leaf is the. ones place
so you want to find 68 so you look in the stem column and look for six
in the row there are 6 numbers which mean:
60, 61, 67, 68, 68, 68
as you can see there is three 68 there for the answer ths 3
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with grams of a radioactive isotope, how much will be left after 4 half-lives?
After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:
Amount remaining = Initial amount × (1/2)^(number of half-lives)
In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.
So, the equation becomes:
Amount remaining = Initial amount × (1/2)^4
Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.
Simplifying the equation:
Amount remaining = Initial amount × (1/16)
Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
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Explain why these expressions are equivalent:
\(0.5^{x-2}\)
\(\frac{0.5^{2} }{0.5^{x} }\)
These are not equivalent.
If x=1, then
\(0.5^{1-2} = 0.5^{-1} = 2\)
but
\(\dfrac{0.5^2}{0.5^1} = 0.5^1 = 0.5\)
and those are not the same.
But if you were asking why \(0.5^{x-2} = \dfrac{0.5^{x}}{0.5^{2}}\), then the reason is this:
\(\begin{aligned}0.5^{x-2} &= 0.5^{x} \cdot 0.5^{-2} \\[0.7em]&= 0.5^{x} \cdot \dfrac{1}{0.5^{2}} &\\[0.7em]&= \dfrac{0.5^{x}}{0.5^{2}}\end{aligned}\)
2a + 3b = 5
b= a - 5
Answer:
A= 4
B= 1
Step-by-step explanation:
Find the unit rate if you got paid $104 for 8 hours of work
and said the answer is 52/4. Is he right or wrong?
what did he do wrong and what is the correct answer?