Answer: You have already given the answer in the question! You can make a small shoe box.
Sunil draws a regular hexagon and a convex quadrilateral on a sheet of paper, so that no side of the quadrilateral lies on the same line as a side of the hexagon. what is the maximum total number of points in which the sides of the quadrilateral can intersect the sides of the hexagon?
Maximum total 8 points in which the sides of the quadrilateral can intersect the sides of the hexagon.
A regular hexagon is a closed shape polygon which has six equal sides and six equal angles. In case of any regular polygon, all its sides and angles are equal.
A convex quadrilateral is a four-sided polygon that has interior angles that measure less than 180 degrees each. The diagonals are contained entirely inside of these quadrilaterals
Take a look at just one side of the quadrilateral—a straight line. Since we are told that no side of the quadrilateral lies on the same line as a side of the hexagon, the maximum number of times a side of the quadrilateral could intersect the hexagon is 2. We can use a ruler to test this on the image of the hexagon. There is no way to pass a straight line through the hexagon and have it intersect the shape more than 2 times. Therefore, the maximum number of points at which the quadrilateral could intersect the hexagon would be
at 2 points per side, at 2 × 4 = 8 points.
Hence, Maximum total 8 points in which the sides of the quadrilateral can intersect the sides of the hexagon.
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2x²-5x-12=0 (simplify solution set)
Answer:
x = 4 or x = -3/2
Step-by-step explanation:
To simplify and solve this, let's use the quadratic formula.
So the format of a quadratic equation is supposed look like this:
[tex]ax^2+bx+c=0[/tex]
Let's find a, b, c:
a is the coefficient of x^2b is the coefficient of xc is the constant termNow let's solve the equation.
Let's solve your equation step-by-step.
2x^2−5x−12=0
For this equation: a=2, b=-5, c=-12
2x^2+−5x+−12=0
Step 1: Use quadratic formula with a=2, b=-5, c=-12.
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-(-5)\pm\sqrt{(-5)^2-4(2)(-12)} }{2(2)}[/tex]
[tex]x=\frac{5\pm\sqrt{121} }{4}[/tex]
[tex]x=4[/tex] or [tex]x=\frac{-3}{2}[/tex]
Answer:
x = 4 or x = -3/2
Please help! What is 7 days 8 hours 20 minutes - 4 days 10 hours 30 minutes?
Answer:
2 days 21 hours and 50 minutes
Step-by-step explanation:
There are a couple of ways to solve this. Here is my approach
Convert everything to the lowest unit ie minutes, find the difference and then find the equivalent days, hours and minutes
Note
1 hour = 60 minutes
1 day = 24 hours * 60 minutes/hour = 1440 minutes
So,
7 days, 8 hours, 20 minutes = 7 * 24 * 60 + 8 * 60 + 20 = 10580 minutes
4 days, 10 hours, 30 minutes = 4 * 24 * 60 + 10 * 60 + 30 = 6390 minutes
Difference(elapsed time) = 10580 - 6390 = 4190 minutes
Convert 4190 to days, minutes and hours. This is a process of using whole division to find the quotient and remainder successively
For days, divide by 1440 which is the number of minutes in a day:
4190 minutes ÷ 1440 minutes = 2 whole days with remainder of 1390 minutes
For hours divide by 60 which is the number of minutes in an hour:
the remainder 1390 minutes ÷ 60 minutes = 21 whole hours with remainder of 50 minutes
So 4190 minutes == 2 days, 21 hours and 50 minutes
Sarah is y years old now. How could you represent her age 5 years ago? (pls help me)
1. y-5
2. 5 y
3. y divided by 5
4. y + 5
Answer:
so y represents her age right now so if we go back we are subtracting so he age would be y-5
a
Hope This Helps!!!
Two players take turns removing a ball from a jar that initially contains m white and n black balls. The rst player to remove a white ball wins. Find the probability that the starting player wins.
½×½ which will be ¼
Step-by-step explanation:
because
Probability that the starting player wins:
[tex]P_{n} =[/tex] m /n + m + n(n-1) /(n + m)(n+m -1) × [tex]P_{n-2}[/tex]
Let us say that the probability that the first player wins is [tex]P_{n}[/tex]. Then this can be happen in two ways:
If the first player wins in the first move which has a probability: m /n + m
If the first player wins after the second move which has a probability :
n(n-1) /(n + m)(n+m -1) × [tex]P_{n-2}[/tex]
Therefore by the law of probability,
[tex]P_{n} =[/tex] m /n + m + n(n-1) /(n + m)(n+m -1) × [tex]P_{n-2}[/tex]
This will allow us to find out the probability of first player winning the game recursively.
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Given cos theta = √3/3 and sin theta < 0. What is the value of sin theta?
The value of the sin theta will be equal to [tex]Sin\theta =\sqrt{\dfrac{2}{3}}[/tex]
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
Given that:-
Cos[tex]\theta[/tex] = √3/3 Sin[tex]\theta[/tex] <0The value of Sin will be calculated as:-
[tex]Sin^2\theta +Cos^2\theta = 1\\\\Sin^2\theta + \dfrac{\sqrt{3}}{2}=1\\\\Sin^2\theta = 1 -\dfrac{1}{3}\\\\Sin\theta = \sqrt{\dfrac{2}{3}}[/tex]
We can see that the value of sin is less than zero therefore
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Based on the details in this excerpt, which word best describes the garage?
Answer:The end of immigration quotas in the 1960s led to
a significant decrease in safe places for refugee immigrants.
a significant increase in discrimination against immigrants.
a significant increase in the number of Asian immigrants.
a significant decrease in the number of Asian immigrants.
Step-by-step explanation:
Here are the dimensions of some rectangles. Which rectangle has an area of 12 square units and a perimeter of 14 units?
a length of 1 unit and a width of 12 units
a length of 6 units and a width of 1 unit
a length of 6 units and a width of 2 units
a length of 3 units and a width of 4 units
Considering the formulas for the area and the perimeter of the rectangle, the one with the desired measures is given as follows:
a length of 3 units and a width of 4 units.
What are the area and the perimeter of a rectangle?Considering a rectangle of length l and width w, we have that:
A = lw.P = 2(l + w).For a rectangle with a length of 3 units and a width of 4 units, we have that:
A = 3 x 4 = 12 square units.P = 2(3 + 7) = 14 units.Hence it is the correct option.
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A thin silver disc of diameter 10 cm costs # 3 300. What is the cost per m²
Answer:
The diameter is 10 cm. the radius is 5 cm. the area is πr² = π x 5² = 78.5 cm².
1 m² = 10,000 cm².
78.5/10,000 = 3,300/n n is the cost per square meter.
78.5n = 10,000 x 3300
n = 420,382.1656
The cost per square meter is $420,382.17.
Six less than the product of
twice a number and ten is
twenty.
[tex]\text{First I'd recommend replacing the number with just n.}\\\text{Now, multiply this number by 2:: 2n}\\\text{Multiply 10 by it:: 2n*10}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\text{6 is subtracted from (2n*10):: (2n*10)-6}[/tex]
[tex]\text{This gives a total of 20}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\text{(2n*10)-6=20}[/tex]
what is the price of a $90 mobile phone after a 30% discount
Answer:
$ 63
Step-by-step explanation:
Let the new price ( price after the discount ) be x.
Old price Discount New price
100 30 70
90 30 x
Now we can make an expression like this to solve this
100 ⇒ 70
90 ⇒ x
Use cross multiplication to solve for x.
100x = 70 × 90
100x = 6300
Divide both sides by 100.
x = $ 63
Answer:
Discount: $27.00
Final Price: $63.00
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 90 × 30/100
Discount = 90 x 0.3
You save = $27.00
Final Price = Original Price - Discount
Final Price = 90 - 27
Final Price = $63.00
I NEED HELP FAST Solve the following equation, and check your solution. Be sure to show all work in order to receive full credit.
Solve 24 - 3x = -27.
A rectangular parallelepiped has dimensions a, b and c. The volume is 100cm3. A second parallelepiped has dimensions α, β, γ, where α is 50% of a, β is 20% of b and γ is 10% of c. What is the volume of the second parallelepiped in cubic meters?
The volume of the second parallelepiped will be 1 cm³. According to the given conditions, α is 50% of a, β is 20% of b and γ is 10% of c.
What is volume?The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.
Given condition;
α is 50% of a, β is 20% of b and γ is 10% of c
α = a/2
β = b/5
γ = c/10
The volume of the first parallelepiped:
V = abc
100cm³=abc
The volume of the second parallelepiped:
[tex]\rm V'= \alpha \times \beta \times \gamma \\\\ \rm V'= \frac{a}{2} \times \frac{b}{5} \times \frac{c}{10} \\\\ V' = \frac{abc}{100} \\\\ V'=\frac{100}{100} \\\\ V' = 1 cm^3[/tex]
Hence, the volume of the second parallelepiped willl be 1 cubic meter.
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which of the following is a Monomail
Reason:
sorry but here is no options so I am giving you a example so that you can understand by your own!
Answer;
5r+3
2x-6
X4+10
4y-1
Step by step answer;
So the method of identifying the Monomail is if you see a variable in a constant so it is a Monomail !
Mark as brainlest answerThe equation of a line is -2x+5y = -20
What’s the x-intercept of the line?
Given that h(-6)=0 for function h(x) = x^4 +8x³ +11x² - 8x - 12
which of the following statements are true?
A (x-3) is a factor of h(x)
B. (x+6) is a factor of h(x)
C. the remainder on division of h(x) by (x+6) is NOT 0
D. the remainder on division of h(x) by (x-3) is 0
Answer:
b
Step-by-step explanation:
when u plug in -6 u get the equation equal to 0 which means x+6 is a factor of that function.
Which data set could be represented by the boxplot shown? (1 point)
{0, 2, 3, 5, 8, 9, 10, 10, 12}
{2, 3, 3, 4, 5, 5, 8, 10, 10}
{2, 3, 4, 5, 5, 7, 7, 9, 10}
{2, 3, 4, 5, 5, 5, 8, 9, 10
The second data set represents the boxplot because in the box plot the measure of statistics is the same as the data set option second is correct.
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
We have given a data set and a box plot shown in the picture.
From the boxplot we can see:
Minimum value = 2
Q1 = (2+4)/2 = 3
Median = (4+6)/2 = 5
Q3 = (8+10)/2 = 9
Maximum value = 10
The second data set:
{2, 3, 3, 4, 5, 5, 8, 10, 10}
Minimum value = 2
Q1 = (2+4)/2 = 3
Median = (4+6)/2 = 5
Q3 = (8+10)/2 = 9
Maximum value = 10
Thus, the second data set represents the boxplot because in the box plot the measure of statistics is the same as the data set option second is correct.
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(X^2-16)/(x^2)-x-12
I know the answer is x+4/x+3
but i don't understand how x^2 -x - 12 simplifies into (x+3) (x-4)
In a carnival drawing, a green ticket wins $1, a yellow ticket wins $5, and a blue ticket wins $10. There are 20 green tickets, 10 yellow tickets and 5 blue tickets. In simplest form, what are the odds against winning less than $10?
A. 1:4
B. 1:5
C. 1:6
D. 6:1
A ratio shows us the number of times a number contains another number. The correct option is C.
What is a Ratio?A ratio shows us the number of times a number contains another number.
For winning less than $10, a person needs to take out a green ticket or a yellow ticket. Therefore, the odds against winning less than $10 are,
(Number of blue tickets) : (Number of green and yellow tickets)
5: 30
1: 6
Hence, the correct option is C.
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A health food store has launched a new pack of vitamins for children. The store records the number of packs ordered by a random sample of 100 online customers and the number of packs ordered by a random sample of 100 walk-in customers.
Two dot plots are shown one below the other. The title for the top dot plot is Online Customers and the title for the bottom plot is Walk In Customers. Below the line for each dot plot is written Number of Packs. There are markings from 1 to 5 on each line at intervals of one. For the top line there are 0, 0, 1, 4, 5 dots respectively for marks from 1 to 5. For the bottom line there are 3, 6, 1, 0, 0 dots respectively for marks from 1 to 5. On the right side, towards the middle of the two plots is shown a dot symbol equal to 10 customers.
Which inference can be drawn about the buying pattern of the online customers versus that of the walk-in customers?
Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 1 pack.
Online customers buy an average of 5 packs compared with walk-in customers, who buy an average of 2 packs.
Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.
Online customers buy an average of 5 packs compared with walk-in customers, who buy an average of 1 pack.
Answer:
Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.
Step-by-step explanation:
Create the dot plots (see attached diagrams)
Online customers: blue dots
Walk-in customers: red dots
To calculate the average packs both groups of customers buy, sum all data values and divide by the total number of data values.
[tex]\textsf{Average of Online customers}=\dfrac{ 1 \times 3+ 4 \times 4+ 5\times 5}{10}=4.4[/tex]
[tex]\textsf{Average of Walk-in customers}=\dfrac{ 3 \times 1+ 6\times 2+ 1\times 3}{10}=1.8[/tex]
Online: 4.4 rounds down to 4
Walk-in: 1.8 rounds up to 2
Therefore, online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.
Find average of both customers
Online :-
3+4(4)+5(5)/103+16+25/1044/104.44Offline
3+6(2)+3/106+12/1018/101.82option C
I need hard and easy math questions with the answer, i need 10 questions
thnx
Answer:
https://www.khanacademy.org/
Step-by-step explanation:
I am not entirely sure what you mean however if you sign up for this website and go to whichever grade level you need you can practice all you want
h = 3 + 31t - 161²
Find all values of t for which the ball's height is 17 feet .
Answer:
t= 31/175 ≈ 5.64516129
Step-by-step explanation:
Refer Pic For Steps....
Hope it Helps!!!
What is the area of a circle with a radius of 11 meters? Round your answers to the nearest tenth.
A. 34.6 m2
B. 121.0 m2
C. 380.1 m2
D. 760.3 m2
Answer:
380.1
Step-by-step explanation:
A=[tex]\pi[/tex]r^2
A=[tex]\pi[/tex]*11*11
A~ 380.13 m^2
nearest tenth: 380.1
Which of the following is a true statement about the rhombus shown? A) m angle STP=90^ B) overline ST cong overline PT C) m angle SPQ=90^ D) overline SQ cong overline PR
Answer:
A
Step-by-step explanation:
.......STP=90°........
Parallelogram ABCD is adjacent to rhombus DEFG, as shown below, and F C intersects A D at H. image If m ∠ B = 126 ° and m ∠ A H C = 142 ° , determine and state m ∠ G F H .
A quadrilateral in which opposite sides are parallel is called a parallelogram. The measure of the ∠GFH is 16°.
What is a parallelogram?A quadrilateral in which opposite sides are parallel is called a parallelogram. Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
For a parallelogram and a rhombus opposite sides are parallel, therefore, the sides that are parallel are,
AB║DC║ED║FG
Since the sides are parallel,
∠ABC = ∠FGH = 126°
Also, ∠AHC and ∠GHF lie on the same line, therefore,
∠AHC + ∠GHF = 180°
∠GHF = 180° - 142° = 38°
Now, in ΔGHF
∠GHF + ∠HFG + ∠GFH = 180°
∠GFH = 180° - 126° - 38°
∠GFH = 16°
Hence, the measure of the ∠GFH is 16°.
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If h(x) = 5 + x and (x) =
XE
which expression is equivalent to (kh)(x)?
The value of composite function (koh)(x) is 1/(5+x) after plugging h(x) = 5+x in the k(x) option (B) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The question is:
if h(x)=5+x and k(x)=1/x which expression is equivalent to (koh)(x)
Answer options are:
A).(5+x)/xB). 1/(5+x)C). 5+(1/x)D). 5+(5+x)We have:
h(x) = 5 + x
k(x) = 1/x
To find the composite function:
(koh)(x):
= k(h(x))
= 1/(5+x)
Thus, the value of composite function (koh)(x) is 1/(5+x) after plugging h(x) = 5+x in the k(x) option (B) is correct.
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Kierran is trying to find the circumference of a circle. He knows that the radius (r) of the circle is 6 feet and that the diameter,
=2
. Which formula should he use?
a. =3.14(2)2
b. =3.14(2)
c. =3.142
d. =3.14(2)
The formula should he use willl be 3.14(2). Option B is correct.
What is the area?The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.
Given data;
Radius,r = 6 feet
Diameter,d=2
Circumfererenc,C
The circumferrence of the circle is;
C=πD
C= 3.14 × 2
The formula should he use willl be 3.14(2).
Hence, option B is correct.
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four students drew four different triangles in math class Anna triangle Yuna triangle Carly triangle saki triangle
The question was incomplete. Below you will find the missing image.
Only the Saki's triangle can be solved using law of cosines.
Law of cosines formula is used to find missing including angle or missing side.
It is used in SAS and SSS triangles.
If a, b & c are three sides and C be the vertices opposite to side c then,
c²=a²+b²-2ab×CosC
Here in the given image we see that,
In Anna's triangle, there is one side and one angle.
So, it is not possible to solve with law of cosines.
In Yuna's triangle, there are two angles and one side.
So, also it is not possible to solve with law of cosines.
In Carley's triangle, there are three angles.
Also in this case, law of cosines it not possible to use.
In Saki's triangle, there are three sides are given. So, it is a SSS triangle.
We can apply the law of cosines here in this triangle.
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Translate each description into an algebraic expression. Then, evaluate the expression
using the value shown in the box for the variable.
EXAMPLE: the quotient of 112 and a added to 25 = (112 + a) + 25 = 53
a = 4
w = 10
b=3
x = 11
c = 9
y = 7
d=2
z = 5
1. the difference of 100 and the product of y and 12 =
2. b times the sum of 15 and 37 =
3. 27 added to the product of z and 12 =
4. 135 divided by the product of c and 5 =
5. w to the second power times the quotient of 12 and 4 =
6. 12 times d divided by the difference of 25 and 19 =
7. the product of x and 5 added to 13 =
The value of each algebraic expressions are:
1. 16
2. 156
3. 87
4. 3
5. 300
6. 4
7. 68
What is an Algebraic Expression?An algebraic expression is a mathematical statement involving variables and digits. It is evaluated by plugging in the value of the variables.
1. Product of y and 12 is 12y
100 - 12y
Plug in the value of y
100 - 12(7) = 16
2. b(15 + 37) = b(52) = 3(52)
= 156
3. Product of z and 12 is 12z
12z + 27 = 12(5) + 27
= 87
4. 135 ÷ 5c = 135/5(9)
= 3
5. w²(12/4) = 3w²
= 3(10²)
= 300
6. 12d ÷ (25 - 19)
12d/6 = 12(2)/6
= 4
7. 13 + 5x
13 + 5(11)
= 68
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Explanation to answer
Answer: 2
Step-by-step explanation:
[tex]{12x+2}=\frac{18+34}{2}\\\\12x+2=26\\\\12x=24\\\\x=\boxed{2}[/tex]
