Answer:
1) sum of all convex polygons' EXTERIOR ANGLES IS ALWAYS 360 DEGREES. If it is a triangle or even if it is a 25- gon.
2) if the polygon is regular then this means all of the sides are equal and all of the angles are equal to each other.
for example: Find the measure of an exterior angle of a REGULAR HEXAGON. so a regular hexagon has 6 sides all the same length and 6 exterior angles all the same measures. so to find the measure of 1 exterior angle you do 360 degrees /6 = 60 degrees. so an exterior angle of a regular hexagon is 60 degrees.
What is 5/6 - 3/8 ?
? Choose the answer in the most simplified form.
A. 1 / 3
B. 9/16
C. 1/12
D. 11/24
Answer:
D. 11/24
Step-by-step explanation:
→ [tex]\frac{5}{6} -\frac{3}{8}[/tex]
→ [tex]\frac{40-18}{48}[/tex]
→ [tex]\frac{22}{48}[/tex]
→ [tex]\frac{11}{24}[/tex]
Answer:
D is the answer
Step-by-step explanation:
[tex]\frac{5}{6} - \frac{3}{8} \\[/tex]
find a common factor between 6 and 8, thats 24.
(multiply the first fraction by 4, second by 3, both numerator and denominator)
Becomes:
[tex]\frac{20}{24} - \frac{9}{24}[/tex]
Then subtract the numerators, keeping the denominators the same:
20 - 9 = 11;
So the answer is:
[tex]\frac{11}{24}[/tex]
A 60 ounce glass bottle of juice sells for $4. 20 while a 1. 5 liter of the same juice sells in a plastic bottle for $3. 6. Compare the unit prices of the juice for the two containers. (1 liter is approximately 34 ounces) a. The juice in the glass bottle is 1 cent cheaper per ounce. B. The juice in the plastic bottle is 1 cent cheaper per ounce. C. The juice in the glass bottle is 10 cents cheaper per ounce. D. The juice in the plastic bottle is 10 cents cheaper per ounce. Please select the best answer from the choices provided A B C D.
Pythagorean theorem Words Problems
Answer:
22.2 ft
Step-by-step explanation:
=) B² = H² - P²
=) B² = 32² - 23²
=) B² = 1024 - 529
=) B = 495 root sq.
=) B = 22.2 ft
What is the first term of the arithmetic sequence?.
Answer: -4
second part is x=3 y=10 z=17
Step-by-step explanation:
edge 2023
To which linear equations is the coordinate a solution?
Select two options.
y = 2x + 13
y=-x-2
y = 3x - 5 2. >4 -2 2. 4
y=-x+6 -2 .
y=-2x-2
The linear equation y = -x - 2 and y = 2x + 13 form the solution (-5, 3)
Linear equation
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the y intercept.
Given the coordinate (-5, 3) as a solution.
The linear equation y = -x - 2 satisfies this this equation because 3 = -(-5) -2
Also, the linear equation y = 2x + 13 satisfies this this equation because 3 = 2(-5) + 14
Find out more on Linear equation at: https://brainly.com/question/14323743
Answer:
View attached graph
Step-by-step explanation:
y = 2x + 13 and y = -x - 2
Hope this helps!
Solve ABC where ∠C = 90°, a = 15 cm, and b = 7 cm.
Answer:
c ≈ 16.55cm ; ∠A = 65 degrees ; ∠B = 25 degrees
Step-by-step explanation:
Because of the Pythagorean theorem, we can solve for c.
This theorem states: a^2 + b^2 = c^2
Since there can only be 180 degrees in a triangle, angle C must be our largest angle. This means that side c is our hypotenuse (the longest side).
Using all of this information, we can say that 15^2 + 7^2 = c^2.
Simplifying that equation, we get that 274 = c^2.
In order to find c, we must square root both sides, and we find that c is about 16.55 cm long.
Using SOHCAHTOA, we know that the tan(∠B)=[tex]\frac{7}{15}[/tex]. Therefore, the arctan ([tex]\frac{7}{15}[/tex]) = ∠B.
Once you find that ∠B is about 25 degrees, you can add ∠B and ∠C together and subtract that from 180 to find ∠A.
∠A = 65 degrees.
Choose the polynomial that is written in standard form. 2x2 3x4 10x6 4x4 6x3 10x4 −3x8 9x2 10x −7x6 x3 10x8.
The polynomial [tex]\rm -3x^8 +9x^2+ 10x[/tex] is written in standard form. The correct option is C.
What is polynomial?Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
The standard form of the polynomial is given as
[tex]\rm a_o x^{n} + a_1 x^{n-1} + a_2 x^{n-2} + ...... + a_n x^{n-n}[/tex]
1. [tex]\rm 2x^2 +3x^4 +10x^6[/tex] is not written in standard form.
2. [tex]\rm 4x^4 +6x^3 + 10x^4[/tex] is not written in standard form.
3. [tex]\rm -3x^8 +9x^2+ 10x[/tex] is written in standard form.
4. [tex]\rm -7x^6 + x^3 + 10x^8[/tex] is not written in standard form.
More about the polynomial link is given below.
https://brainly.com/question/17822016
given that (x-2) is a factor of (x³-8) ,what is the other factor?
Answer:
[tex]x^2+2x+4[/tex]
Step-by-step explanation:
This expression can also be written as a difference of cubes:
[tex]x^3-2^3[/tex]
A important formula to remember is:
[tex]a^3-b^3=(a-b)(a^2+ab+b^2)[/tex]
We can use this to factor this expression:
[tex]x^3-2^3=(x-2)(x^2+2x+4)[/tex]
Therefore the other factor is:
[tex]x^2+2x+4[/tex]
thx for your help on the other one now i need help on this one
A) For a meal that cost nothing, starving people would line up for hours, even in the middle of Times Square.
A may be the answer.
B) All across the nation, starving people who couldn't buy food stood in breadlines for hours.
B is not the answer.
C) Millions of men and women were out of work and hungry during the Great Depression.
C is not the answer.
D) Breadlines in the Times Square provided free meals for hungry men and women.
D is not the answer.
The answer is A) For a meal that cost nothing, starving people would line up for hours, even in the middle of Times Square.Let me know if this is the correct answer. :)
Danieli bought 2 1/2 yards of fabric to make a costume what is the length of the fabric in feet and inches show your work
Answer:
7.5 feet and 90 inches
Step-by-step explanation:
you take 2.5 and multiply it by 3 because there are 3 feet in a yard to get 7.5. then take 7.5 and multiply it by 12 to get 90 inches
Which expression is equivalent to
(3/2p+1)(1/2p+3)
Answer:
3/4p²+5p+3
Step-by-step explanation:
[tex]\dfrac{3}{4}p^2+5p+3[/tex] is the correct answer on simplifying [tex]\left(\dfrac{3}{2}p+1\right)\left(\dfrac{1}{2}p+3\right)[/tex].
SimplificationSimplification of expression is to get an expression in the rearranged form.
How to simplify the arithmetic expression?Simplify the given expression as-
[tex]\left(\dfrac{3}{2}p+1\right)\left(\dfrac{1}{2}p+3\right)=\dfrac{3}{4}p^2+3\times \dfrac{3p}{2}+\dfrac{p}{2}+3\\=\dfrac{3}{4}p^2+5p+3[/tex]
Thus, option C is the correct answer.
Learn more about arithmetic expression here- https://brainly.com/question/17722555
#SPJ2
What is the solution set for this inequality?
-8x + 40
-16
QUESTION
WORTH
20 POINTS!!! HELP ASAP PLEASE
why am i alive
Answer:
Cause you were born, as simple as that. Plenty of people deal with harsh life.
Step-by-step explanation:
That's not a math question BUT
If the question is why am I alive, I will answer it.
Although i am not a Christian(I deeply respect those who are, though),
I still believe there is an unnatural force that
selected you to be born and experience life for yourself.
If you are thinking about killing yourself, please call 800-273-8255
Answer only 22 please
Answer:
147.3°
Step-by-step explanation:
[ 180 × ( n - 2 ) ] ÷ 11
= [ 180 × ( 11 - 2 ) ] ÷ 11
= ( 180 × 9 ) ÷ 11
= 1620 ÷ 11
= 147.273°
I need help with my fractions
Answer:
1 1/2
Step-by-step explanation:
2/3 + 5/6 = 32 = 1 12 = 1.5. Spelled result in words is three halves (or one and one half).
9/25
start fraction, 9, divided by, 25, end fraction of Polly's co-workers prefers tea over coffee.
What percent of Polly's co-workers prefer tea over coffee?
Answer: To convert a fraction to a percentage you multiply by 100.
(9 / 25) * 100
= 9 * 100/25
= 9 * 4
= 36% answer
Step-by-step explanation:
This circle is centered at the origin, and the length of its radius is 4. What is
the circle's equation?
PLEASE HELP & SHOW WORK PLS..
how do you solve this problem ??
Answer:
[tex]x=3c\sqrt{a} -b^2[/tex]
Step-by-step explanation:
[tex]\sqrt{a} =\dfrac{x+b^2}{3c}[/tex]
Multiply both sides by 3c:
[tex]\implies \sqrt{a} \cdot 3c=\dfrac{(x+b^2) \cdot 3c}{3c}[/tex]
[tex]\implies 3c\sqrt{a} =x+b^2[/tex]
Subtract [tex]b^2[/tex] from both sides:
[tex]\implies 3c\sqrt{a} -b^2=x+b^2-b^2[/tex]
[tex]\implies 3c\sqrt{a}-b^2=x[/tex]
Switch sides:
[tex]\implies x=3c\sqrt{a} -b^2[/tex]
Directions: Determine the axiom that justifies each of the following statements.
1. 2( -a + 5) = (2)(-a) + (2)(5)
2. 2/5 ⋅ 1 = 2/5
3. (x + 5) + 2 = x + (5 + 2)
Answer:
distributive propertymultiplicative identity elementassociative property of additionStep-by-step explanation:
1.The distributive property of multiplication over addition tells you a factor outside parentheses will multiply each term inside parentheses. That fact is used to expand the given expression. In general, ...
a(b +c) = ab +ac
2(-a +5) = 2(-a) +2(5)
__
2.The multiplicative identity element is the value that can multiply any expression and leave it unchanged. It is 1. That is, multiplying anything by 1 leaves it unchanged.
This fact is generally used to cancel factors common to a numerator and denominator: (2x)/2 = x(2/2) = x(1) = x, for example. It is also used extensively in units conversion.
__
3.The associative property of addition lets you group the terms of a sum any way you like. It lets you move parentheses at will. (Beware subtraction.)
Here, the parentheses are moved from grouping the first two terms to instead grouping the last two terms.
_____
Additional comment
These are part of the vocabulary of math. Even if you don't remember the specific definitions, it is essential to remember what these properties allow. Making use of them is the way that expressions are simplified and equations are solved.
Answer:
Distributive Property of MultiplicationIdentity Property of MultiplicationAssociative Property of AdditionStep-by-step explanation:
Distributive Property of Multiplication
The distributive property of multiplication is to distribute or multiply one term by all terms.
2(-a + 5) Distrbute 2 to -a and 52(-a) + 2(5)-2a + 10Identity Property of Multiplication
Identity property is to multiply by 1. This doesn't change the value, so it keeps the value, identity, the same.
2/5 * 1 = 2/5Associative Property of Addition
The associative property is to group terms differently, preferably like terms. 2 and 5 are like terms, because they are integers.
(x + 5) + 2x + (5 + 2)x + 10-Chetan K
Frederick asked a bank teller to cash a $390 check using $20 and $50 bills. If the teller gave
him 15 bills, how many of each did he receive?
12 of $20 and 3 of $50 totally didnt edit it... lolol..
Answer:
12 $20 Bills & 3 $50 Bills
Step-by-step explanation:
Because if the total is $390, Then if you get 10 $20 Bill that would equal $200 Bills and if you get 2 $50 Bills then you would get $100. Add the $200 Bills & the $100 Bills you get $300 Bills.
Then you get 1 $50 Bill and 2 $20 Dollar Bills you get $90 Bills.
Add $300 Bills with $90 Bills and you get $390.
If you add the number of bills handed it would be 15.
The following triangular prism has a base that is a right triangle.
Draw or describe the net of this triangular prism. Make sure to include the dimensions of each part of the net. Use your net to calculate the surface area of the prism.
Answer:
The Answer is 175.86 cm^2
Step-by-step explanation:
4.3*5.2/2*2=22.36 cm^2
6.75*10=67.5 cm^2
10*4.3*2=86 cm^2
86+22.36+67.5=175.86 cm^2
Hoped this helped ^^
= 234.02
10 x 6.75 = 67.5 x 3 202.5
4.3 x 5.2 = 21.84 square root = 4.67
6.7/2 = 2 = 3.375
3.375 x 4.67 = 15.76
15.76 x 2 = 31.52
202.5 + 31.52 = 234.02
help asap (image below!!)
Answer:
D
......................
HELP ME PLEASE!!! A ball is thrown in the air from a platform that is 112 feet above ground level with an initial vertical velocity of 32 feet per second. The height of the ball, in feet, can be represented by the function shown where t is the time, in seconds, since the ball was thrown.
h(t)=−16t2+32t+112
Which of the following equations shows the function rewritten in the form that would be best used to identify the maximum height of the ball?
Question 16 options:
h(t)=−16(t−2)2+112
h(t)=−16(t−1)2+80
h(t)=−16(t−1)2+96
h(t)=−16(t−1)2+128
The ball thrown upwards follows a parabolic path
The equation that shows the function rewritten in the form that would be best used to identify the maximum height of the ball is [tex]h(t)=-16(t-1)^2+128[/tex]
How to determine the equivalent equationThe equation is given as:
[tex]h(t)=-16t^2+32t+112[/tex]
Factor out -16
[tex]h(t)=-16(t^2-2t)+112[/tex]
Express the bracket as a perfect square expression
[tex]h(t)=-16(t^2-2t + 1 - 1)+112[/tex]
Factor out -4
[tex]h(t)=-16(t^2-2t + 1)+112 + 16 * 1[/tex]
[tex]h(t)=-16(t^2-2t + 1)+128[/tex]
Express as a perfect square
[tex]h(t)=-16(t-1)^2+128[/tex]
Hence, the equivalent expression is [tex]h(t)=-16(t-1)^2+128[/tex]
Read more about parabolas at:
https://brainly.com/question/4061870
The points (-5, r) and (2, 3) lie on a line with slope 2. Find the missing coordinate r.
Answer:
Step-by-step explanation:
I will use the formula for finding the slope of a line.
rise/run = y2 - y1/x2 - x1
3 - r/2 - -5
We will subtract 2 from -5. 2 - -5 = 7
Since the slope is 2, and 2 - -5 = 7, then 3 - r = 7x2 = 14.
3 - 14 = -11
r = -11
Can u answer3 3/4 + 2 5/7
Answer:
[tex]6\frac{13}{28}[/tex]
Step-by-step explanation:
Add:
[tex]3\frac34 + 2\frac57[/tex][tex]\frac{15}{4} + \frac{19}{7}[/tex][tex]\frac{105}{28} + \frac{76}{28}[/tex][tex]\frac{181}{28}\\[/tex][tex]6\frac{13}{28}[/tex]-Chetan K
How do I do this I am confused
Can someone please help me I’m stuck on this.
Round 0.3391 to
the thousandths place.
Answer:
.3390 or just .339
Step-by-step explanation:
How do I do number 1
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Write the ratio the 3 ways learned. A recipe uses 5 cups of water for
every 3 cups of flour.
Answer:
5:3
3:5
5 for 3
Step-by-step explanation:
Because for every 5 cups you get 3 cups