Answer:
No, the bolt won't fit into the hole
Step-by-step explanation:
We need to convert the diameter of the bolt into decimal by dividing:
2/9 = 0.222...
The hole has diameter of 0.2
Hence, 0.222 is larger than 0.2, so the bolt won't fit.
explain how the perimeter of a polygon is calculated.
Multiply the side length by the number of sides to get the perimeter. The formula for finding the perimeter of a regular polygon is just the number of sides x the length of any side. Once you've multiplied those 2 numbers together, you've found the perimeter of the polygon
Final answer:
The perimeter of a polygon is calculated by adding together the lengths of all its sides. For regular polygons with equal side lengths, the perimeter is the side length multiplied by the number of sides. For irregular polygons, all unique side lengths must be measured and summed.
Explanation:
The perimeter of a polygon is the total length around the shape. It is calculated by summing the lengths of all its sides. For a regular polygon with all sides of equal length, like a square, if one side length is a, then the perimeter is simply 4a because there are four sides. In the case of irregular polygons, each individual side length must be measured and added together to find the total perimeter.
For instance, consider a rectangle with a length of l and a width of w; the perimeter would be 2l + 2w, because each opposite pair of sides are equal. The units used for the lengths will be the same units used for the perimeter, such as meters. Nonetheless, the calculation can become more complex with polygons of more sides. Each side must be accounted for precisely, and units must remain consistent.
Determine whether the following regular polygon tessellates the plane. Explain.-square
Answer:
option A) yes, measure of interior angle is 90
Step-by-step explanation:
Tessellation:
the tiling of an flat surface or plane by one or more geometric surfaces is tessellation. No overlapping or gap or un-evenness is left during tessellation, all the shapes fit perfect to the plane or flat surface. There are three geometric shapes that can be used for tessellation.
These shapes are:
Square
Triangle
Hexagon
As in given problem the polygon given is square
So YES the tessellation of plan is possible and the as the interior angle of square is 90 degrees so
option A is correct complete answer i.e. yes, measure of interior angle is 90 !
Given s(x) = 3x - 6 and t(x) = 6 - 3x.
Find the simplified formula and domain for v(x)=(s/t)x and w(x)=(t/s)x
Answer with step-by-step explanation:
We are given the following two functions:
[tex]s(x) = 3x - 6[/tex]
[tex]t(x) = 6 - 3x[/tex]
We are to find the simplified formula and domain for [tex] v ( x ) = \frac { s ( x ) } { t ( x ) } [/tex] and [tex] w ( x ) = \frac { t ( x ) } { s ( x ) } [/tex].
[tex]\frac{3x-6}{6-3x}=\frac{3(x-2)}{3(2-x)}=\frac{x-2}{2-x}=\frac{x-2}{-(x-2))}=-1 [/tex]
So the domain for this function is (-∞, +∞) for v(x) = -1.
[tex]\frac{6-3x}{3x-6}=\frac{3(2-x)}{3(x-2)}=\frac{2-x}{x-2}=\frac{2-x}{-(-x+2)}=\frac{2-x}{-(2-x)}=-1[/tex]
The domain of this function is (-∞, +∞) for w(x)= -1
ANSWER
v(x)=-1
Domain: (-∞,2)U(2,+∞)
EXPLANATION
We have the given function
s(x) = 3x - 6 and t(x) = 6 - 3x.
We want to find the simplified formula and domain for
[tex]v(x) =( \frac{s}{t} )(x)[/tex]
[tex]v(x) = \frac{s(x)}{t(x)} [/tex]
[tex]v(x) = \frac{3x - 6}{6 - 3x} [/tex]
This function is defined if and only if
[tex]6 - 3x \ne0[/tex]
[tex]x \ne2[/tex]
Hence the domain is:
[tex]x \ne2[/tex]
We now simplify to obtain;
[tex]v(x) = \frac{ - (6 - 3x )}{6 - 3x} = - 1[/tex]
Match the activities to the type of income they generate. dividends, rent, interest, intellectual property sales, capital gains, multilevel marketing sales
Answer:
Portfolio Income: Dividends, Interest, Capitail Gains.
Passive Income: Intellectual Property Sales, Rent, Multilevel Marketing Sales
Hope this Helps! :)
Answer:
Portfolio: dividends, capital gains, interest
Passive: rent, multilevel marketing income, intellectual property sales
Step-by-step explanation:
Portfolio income is the income received through dividends, interest, or capital gains:
Dividends are distributed profits that a company pays to its shareholders.
Interest is the income generated by investing money in savings accounts or bonds.
Capital gains are profits earned by selling assets, such as stock or real estate. You earn capital gains after selling assets for higher prices than you paid to acquire them.
Here are the different types of passive income:
Rental income is income earned via renting apartments, houses, office buildings, or other properties owned.
Business income refers to income earned from a limited ownership stake in a business.
Creating or selling intellectual property involves income earned from an invention, sales of a book you wrote, profits from a movie, and so on.
Multilevel marketing income is income earned by increasing the company’s sales as well as recruiting other salespeople.
What is the remainder when 7^85 is divided by 41? How can you solve this without using a calculator?
Answer:
you are supposed to divide it
Step-by-step explanation:
41divided by 85=
HELP PLEASE?
Henry showed all the steps he took to solve the equation.
(picture)
Sammy tried to verify the solution by substituting x=5 back into the original equation. It did not result in a true statement. Which explains why Henry’s solution is incorrect?
Step 1 is wrong because the distributive property of equality was used incorrectly.
Step 2 is wrong because the addition property of equality was used incorrectly.
Step 3 is wrong because the subtraction property of equality was used incorrectly.
Step 4 is wrong because the division property was used incorrectly.
Answer:
Step 3 is wrong.
Step-by-step explanation:
They must subtract the 28 from 15 first. This will give you 3x=-13. Then, you divide each side by 3, giving an answer of x=-4.33, or x=-13/3.
Answer:
step 3 is wrong
Step-by-step explanation:
consider step 2
3x + 28 = 15 ( subtract 28 from both sides ) gives
3x = 15 - 28
3x = - 13 ← what step 3 should be
what is the value of x?
Answer:
135????
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{\sqrt{2} }{2}[/tex], then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4\sqrt{2} }{x}[/tex]
Multiply both sides by x
x × sin45° = 4[tex]\sqrt{2}[/tex] ( divide both sides by sin45° )
x = [tex]\frac{4\sqrt{2} }{\frac{\sqrt{2} }{2} }[/tex]
= 4[tex]\sqrt{2}[/tex] × [tex]\frac{2}{\sqrt{2} }[/tex] = 4 × 2 = 8
The floor of Paul's and Matthew's rectangular bedroom is 132 square feet. The bedroom is 11 feet wide. HOw long is the bedroom?
It’d be 12 because you have to divide 132 by 11
Answer: 12 feet.
Step-by-step explanation:
The formula used to calculated the area of a rectangle is:
[tex]A=l*w[/tex]
Where "l" is the lenght and "w" is the width.
You need to find the lenght of the bedroom, then you must solve for the lenght "l":
[tex]l=\frac{A}{w}[/tex]
You know that the floor of Paul's and Matthew's rectangular bedroom has an area of 132 square feet and its width is 11 feet. Then, you can substitute these values into [tex]l=\frac{A}{w}[/tex] to calculated the lenght. Therefore, the result is:
[tex]l=\frac{132ft^2}{11ft}[/tex]
[tex]l=12ft[/tex]
Myles mows lawns during the summer to earn money. Since he is trying to save money for a car, he tries not to spend very much of it. In fact, his goal is to save $5 for every $7 he makes.
If Myles made $128 this week, how much can he spend?
$36
128/7 is about 18
18x2= 36
Answer:
36.57
Step-by-step explanation:
HELP ME WITH THIS 60 POINTS,5-STAR RATING, AN THANKS AND MARKED AS BRANLIEST.
Answer:
23 D
24 B
25 Add 6.1 to each side
Step-by-step explanation:
23. w+2 < -1
Subtract 2 from each side
w+2-2 <-1-2
w < -3
There is an open circle at -3 with a line going to the left
Choice D
24. -15 > q-5
Add 5 to each side
-15+5> q-5+5
-10>q
q must be less than -10
B {-11,-12,-14} are the only numbers all less than -10
25 p-6.1=10
Add 6.1 to each side
p-6.1+6.1 = 10+6.1
p =16.1
Answer:
24) C: {-9, -8, -7}
25) Add 6.1 to both sides of the equation.
Step-by-step explanation:
Question 24 is asking which set of numbers when subtracted by five is still greater than -15. C is the only one that matches.
(Edit: I realize after reading another answer that B is correct, not C. I misread the question.)
In question 25 you can easily solve for p by adding 6.1 to both sides of the equation.
Jovie is maintaining a campfire. She has kept the fire steadily burning for 10 hours with 15 logs. She wants to know how many hours (h), she could have kept the fire going with 9 logs. She assumes all logs are the same.
How many hours can Jovie keep the fire going with 9 logs?
Answer:
6 hours
Explaination
10/15=.66666667
.66666667*9=6 hours
Which ratio would you use to convert 3.2 feet to inches?
To convert 3.2 feet to inches, multiply by the conversion factor of 12 inches per foot. The calculation 3.2 feet x 12 inches/1 foot results in 38.4 inches.
To convert 3.2 feet to inches, we use the following ratio: 1 foot = 12 inches. This is a standard conversion factor between feet and inches in the customary system of measurements.
First, set up the conversion like this:
Multiply the number of feet by the unit equivalence.
3.2 feet x 12 inches/1 foot = x inches.
Perform the multiplication to solve for x.
3.2 x 12 = 38.4 inches.
Therefore, 3.2 feet is equivalent to 38.4 inches. Remember, when converting from a larger unit to a smaller unit like feet to inches, you need to multiply by the conversion factor.
Use the grouping method to factor this polynomial completely 4x^3+8x^2+3x+6
Answer:
Final answer is [tex](4x^2+3)(x+2)[/tex].
Step-by-step explanation:
Given expression is [tex]4x^3+8x^2+3x+6[/tex].
Now we need to factor that by the method of grouping.
So make two groups having first two terms and then last two term.
Factor each group then factor once more.
[tex]=4x^2(x+2)+3(x+2)[/tex]
[tex]=(4x^2+3)(x+2)[/tex]
It can't be factored anymore so the final answer is [tex](4x^2+3)(x+2)[/tex].
the factored form of 4x^3+8x^2+3x+6 using the grouping method is (x+2)(4x^2+3).
To factor the polynomial 4x^3+8x^2+3x+6 using the grouping method, we can start by grouping terms in pairs and factoring out common factors in each pair. Here is a step-by-step explanation:
First, write down the given polynomial: 4x^3+8x^2+3x+6.Group the terms: (4x^3+8x^2) + (3x+6).Factor out the common factors from each group: 4x^2(x+2) + 3(x+2).Now, notice that (x+2) is a common factor in both terms, so factor it out: (x+2)(4x^2+3).Therefore, the factored form of 4x^3+8x^2+3x+6 using the grouping method is (x+2)(4x^2+3).
Quadrilateral ABCD is inscribed in a circle. Find the measure of angle D. Show your work.
Answer:
80°
Step-by-step explanation:
The opposite angles of an inscribed quadrilateral add up to 180.
(2x + 13) + (3x + 37) = 180
(2x + 3y) + (5y) = 180
Solving the first equation:
5x + 50 = 180
5x = 130
x = 26
Solving the second equation:
2x + 8y = 180
2(26) + 8y = 180
52 + 8y = 180
8y = 128
y = 16
5y = 80. So ∠D = 80°.
please help thx so much
Answer: i believe your answer is (80/99)
Step-by-step explanation:0.8080... repeating is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction.In rational form, it is 80/99.
I hope i helped :)
[tex] \frac{80}{99} [/tex]
[tex]x = 0.808080[/tex]
[tex]100x = 80.808080[/tex]
[tex]99x = 80[/tex]
[tex]x = \frac{80}{90}[/tex]
If a dozen eggs cost $1.68, how much does one egg cost? *
Answer:
$0.14
Step-by-step explanation:
Average it out. 1.68÷12=0.14
Answer:
$0.14
Step-by-step explanation:
1.68/12= 0.14
Find the average rate of change for f(x)=x^2-3x-10 from x=4 to x=6
Answer:
7
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
here [ a, b ] = [4, 6 ]
f(b) = f(6) = 6² - 3(6) - 10 = 36 - 18 - 10 = 8
f(a) = f(4) = 4² - 3(4) - 10 = 16 - 12 - 10 = - 6
Hence
average rate of change = [tex]\frac{8-(-6)}{6-4}[/tex] = [tex]\frac{14}{2}[/tex] = 7
Plz HURRY!!!!!
(2x - 3) and (x + 5) are the factors of a quadratic equation. Write the equation.
A) y = 2x2 + 2x - 15
B) y = 2x2 + 7x - 15
C) y = 2x2 + 7x +15
D) y = x2 + 7x - 15
Answer:
The answer would be B, 2x2+7x-15.
Step-by-step explanation:
Use the distributive property!!
(2x-3)(x+5)
distribute the 2x to the x and 5.
You get 2x2+10x
distribute the -3 to the x and 5.
You get -3x-15
combine like terms:
2x2+10x-3x-15
You get the answer 2x2+7x-15
hope this helps :)
A bag contains 5 white marbles and 5 black marbles what is the probability of drawing a white marble not replacing it and then drawing a black marble
Answer:
5/10 or 1/2 because there is 10 marbles in total so denominator is 10 and we are pulling white marbles and there is 5 (so what ever the variable is for this case it is the white marbles that would be the numerator so 5/10)
Hope this Helps :D
Answer: white marble: you have a 5/10% chance
Black marble: you have a 5/9% chance
Step-by-step explanation:
for the white marble you have 5 out 10 because there are half and half then you have to add them all up for the total and not placing it back in the bag there are only 9 left with still 5 black ones so you have a 5 out 9 chance to get a black one
Find the unknown side length, x. Write your answer in simplest radical form.
Using the Pythagorean Theorem, you should get 45 [9 + 36]. Then, take the square root of 45 and simplify it to 3√5.
Please help.
Solve 3(x+2) > x
Answer: Last option
{x| x>-3}
Step-by-step explanation:
We have the following inequality 3 (x + 2)> x
To solve the inequality, apply the following steps:
1) Apply distributive property
[tex]3 * x + 3 * 2> x\\\\3x + 6> x[/tex]
2) Subtract 6 on both sides of the inequality
[tex]3x +6 -6> x-6\\\\3x> x-6[/tex]
3) Subtract x on both sides of the inequality
[tex]3x-x> x-x-6\\\\2x> -6[/tex]
3) Divide by 2 both sides of the inequality
[tex]x> -3[/tex]
The solution is all numbers greater than -3
ANSWER
{x|x>- 3}
EXPLANATION
The given inequality is;
[tex]3(x+2) \: > \: x[/tex]
Expand the parenthesis to obtain,
[tex]3x+6>x[/tex]
Group like terms
[tex]3x-x \: > \: -6[/tex]
[tex]2x>-6[/tex]
Divide both sides by 2
[tex]x \: > \: - 3[/tex]
The correct choice is D.
Solve by using the x-intercept method:
x^3+x^2-17x+15=0
A. 1,17,15
B. -5,1,3
C. 1,3,5
D. -3,1,5
Put into graphing calculator and get B.-5,1,3
The correct answer is B, or -5, 1, 3.
Just got it right on edge 2020, hope this helps!! :)
How many square feet of outdoor carpet will we need for this hole?
6+6+2 = 14
6 + 6 + 4 + 2 = 18
18+14 = 32
The answer is 32.
Hope this helps!
Answer:36 ft squared
Step-by-step explanation:
24 ft squared plus 12 ft squared equals 36 ft squared
What is the order of the matrix
Answer:
Order of a matrix is determined by the number of rows and columns the matrix consists. For example if a matrix is 2 X 5 matrix where 2 is the number of rows and 5 is the number of columns then the order of the matrix is 2 X 5.
Which triangle has a bigger area:
1. A triangle with sides measuring 300, 400, and 500.
2. A triangle with sides measuring 300, 400, and 700.
Hello there!
Answer:
Triangle 2
Step-by-step explanation:
To determine which triangle has the bigger area, we would need to figure our the area of the triangles.
To solve for the area of the triangles, we would use the formula length × width × height or l × w × h
They gave us the information to the triangles in the question, so we would just solve.
Triangle 1: [tex]300 *400*500= 60,000,000[/tex]
Triangle 2: [tex]300*400*700=84,000,000[/tex]
When you finish solving, you would see that triangle 2 has the bigger area.
Triangle 2 would be the CORRECT answer because it has a bigger area than Triangle 1.
Triangle 2. Area is length x width x height
The shoreline pictured below used to extend about 10 meters farther out into the ocean. A warming climate and rising sea levels have weakened the soil and brought more water up against the shoreline than in the past. Image courtesy of Benjamin Jones, USGS Which of the following statements about the shoreline pictured above is true?
A. Rain and wind have built up the shoreline through physical weathering.
B. The ocean has built up the shoreline through the process of deposition.
C. Rain and wind have broken down the shoreline through chemical weathering. D. The ocean has eroded the shoreline by carrying earth materials out to sea.
20 points!!!
Answer:
D. The ocean has eroded the shoreline by carrying earth materials out to sea
Step-by-step explanation: I don't actually know why, I just did it on Study Island
Answer:
The ocean has eroded the shoreline by carrying earth materials out to sea.
Step-by-step explanation:
I had to do study island. Apparently, this answer was correct.
I NEED HELPPP!!! PLEASE
Answer:
Step-by-step explanation:
Surface area of a cylinder is:
A = 2πr² + 2πrh
Here, r = 2 cm and h = 6 cm:
A = 2 (3.14) (2 cm)² + 2 (3.14) (2 cm) (6 cm)
A = 100.48 cm²
What is the equation of the line that passes through the points (1,-1) and (3,3)
Answer:
y=2x-3
Step-by-step explanation:
y=mx+b
-1=1m+b
3=3m+b
subtract those two ^
-4=-2m
2=m
-1=1m+b
-1=1(2)=b
-1=2+b
-3=b
y=2x-3
If two angles of a triangle have measures of 42° and 20°, what is the measure of the third angle?
Answer:
118°
Step-by-step explanation:
The sum of a triangle is always gonna be 180°. Adding 42° and 20° you get 62°. When you subtract 180° minus 62° you the third angle which is 118°.
the answer is 118
every triangle equals 180 so just subtract 180 and the two angles and boom 118 degrees
The value of a 1970 comic book has increased 12% per year. It originally sold for $0.35. Write an exponential equ Show your work.ation that models this situation and use it to answer the question.
we can think of this as the same as a deposit in a bank, so let's use the compound interest formula, since the book is increasing in value 12% per annum.
[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$0.35\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\dotfill &1\\ t=years\dotfill &t \end{cases} \\\\\\ A=0.35\left(1+\frac{0.12}{1}\right)^{1\cdot 5}\implies A=0.35(1.12)^t[/tex]