Answer:
I think the sum of the measures of the interior angles of an octagon =(8−2)180° . The sum of the measures of the interior angles of an octagon is 1080° .
I hope this help!:)
Answer:
[tex]135^{\circ}[/tex]
Step-by-step explanation:
The sum of the interior angles of a polygon with [tex]n[/tex] sides is equal to [tex](n-2)180[/tex]. Since an octagon has 8 sides, the sum of its interior angles is equal to:
[tex](8-2)180=6\cdot 180=1,080^{\circ}[/tex]
By definition, a regular polygon is a polygon with equal sides and angles. An octagon has 8 sides and 8 angles. Therefore, a each interior angle of a regular octagon must be equal to:
[tex]\frac{1,080}{8}=\boxed{135^{\circ}}[/tex]
I need help with VOCAB!!!Please help ASAP
Answer:
SSS postulate
Step-by-step explanation:
its probab;py wrong im sorry
Answer:
SSS Postulate
Step-by-step explanation:
Since both triangles have 3 congruent sides, then
The triangles are congruent by the SSS postulate
Please help explanation if possible
Answer:
(1, - 2 )
Step-by-step explanation:
Given the equations
3x - 4y = 11 → (1)
y + 3x = 1 ( subtract 3x from both sides )
y = 1 - 3x → (2)
Substitute y = 1 - 3x into (1)
3x - 4(1 - 3x) = 11 ( distribute and simplify left side )
3x - 4 + 12x = 11
15x - 4 = 11 ( add 4 to both sides )
15x = 15 ( divide both sides by 15 )
x = 1
Substitute x = 1 into (2) for corresponding value of y
y = 1 - 3(1) = 1 - 3 = - 2
solution is (1, - 2 )
Simplify 2m^2 – 2m + 3m^2
Answer:
5m^2-2m
Step-by-step explanation:
2m^2-2m + 3m^2
5m^2-2m
Answer:
5m² - 2m
Step-by-step explanation:
Given
2m² - 2m + 3m² ← collect like terms
= (2m² + 3m²) - 2m
= 5m² - 2m
The number of pounds of one-dollar-a-pound
coffee needed to mix with 80 pounds of 70¢ a
pound coffee to make a mixture worth 84¢ a
pound is
(A) 70
(B) 80
(C) 95
(D) 65
Answer:
A
Step-by-step explanation:
Let's say we need x pounds of one-dollar-a-pound coffee . The coffee must average out to 84 cents a pound, and the formula for average is
sum of cost of coffee / number of pounds of coffee, so we have
0.84 = total cost of coffee / (x+80) . The total cost of coffee can be found to be the sum of the cost of $1 coffee and 70 cent coffee, so we have
0.84 = (cost of $1 coffee + cost of 70 cent coffee) / (x+80)
The cost of $1 coffee can be found by adding $1 for each pound of one dollar coffee, or $1 * x. Similarly, the cost of 70 cent coffee is equal to 0.70 * 80, so we have
0.84 = (1*x+0.7*80)/(x+80)
0.84 = (x+56)/(x+80)
multiply both sides by (x+80) to remove a denominator
0.84(x+80) = x+56
0.84x + 67.2 = x+56
subtract both sides by 56 and 0.84x to isolate the x and its coefficients
11.2 = 0.16 x
divide both sides by 0.16 to isolate x
11.2/0.16 = x = 70
The number of pounds of a constituent in a mixture given the cost of the
mixture and the cost and mass of the other constituent can be calculated
by using an equation to model the system
The correct option for the number of pounds of one-dollar- pound coffee needed is option A
(A) 70 pounds
The procedure for arriving at the correct option is as follows:
The given parameters are;
The cost of the the coffee for which the mass in the mixture is to be determined = One-Dollar a pound = 100 ¢ a pound
The mass of the coffee 70¢ a pound coffee to be mixed = 80 pounds
The cost per pound of the mixture = 84 ¢ a pound
The required parameter;
The number of pounds of the one-dollar-a-pound (100 ¢ a pound) coffee in the mixture
Method:
Let x (pound) represent the number of pounds of the one-dollar-a-pound coffee in the mixture, we have;
Mass of mixture = Mass of the one-dollar-a-pound in the mixture, x + Mass of 70 ¢ a pound in the mixture, 80
∴ Mass of mixture in pounds = x + 80
Cost = Cost per pound × Number of pound
Find solution by applying the equation;
Cost of the constituents = Cost of the mixture
Where;
Cost of the constituents = $1 × x + 70 ¢ × 80 = 100 ¢ × x + 70 ¢ × 80
Cost of the mixture = 84 ¢ × (x + 80)
Therefore;
100 ¢ × x + 70 ¢ × 80 = 84 ¢ × (x + 80)
The above can be expressed as 100·x + 70×80 = 84 × (x + 80)
Expanding, evaluating and collecting like terms gives;
100·x + 5,600 = 84·x + 6,720
100·x - 84·x = 6,720 - 5,600 = 1,120
16·x = 1,120
x = 1,120/16 = 70
The number of pounds of one-dollar- pound coffee needed, x = 70 pounds
Learn more about equation modelling here;
https://brainly.com/question/14102741
What is equivalent to 1/6
Answer:
0.16666...
6/36
2/12
3/18
4/24
5/30
There's a lot of things.
$108.75 for working 15 hours as a holiday helper wrapping gifts. At this rate, how much money will she earn if she works 18 hours the next week. Explain.
What is the surface area of the sphere below?
A. 324pi units^2
B. 324pi^3 units^2
C. 36pi units^2
D. Cannot be determined
Answer:
C. 36π units²
Step-by-step explanation:
Surface area of a sphere: 4πr²
[tex]4\pi r^2\\4\pi (3)^2\\4\pi (9)\\36\pi[/tex]
Write an exponential function that includes the following points (2,32) and (3,64)
Answer:
y=32x-32
Step-by-step explanation:
This time no algorithm or equation was needed i saw that if the equation was y=32x there would be ordered pairs (1,32) and (2,64) so to delay it by 1 on the x side just subtract the slope from the y - intercept sorry if that doesn't make sense
Please anyoneeeeeeee.....i am almost done just please help me
[tex]\boxed{\sf \overrightarrow{XV}\:and\:\overrightarrow{XY}}[/tex]
[tex]\Large{\underline{\sf Observations:-}}[/tex]
Option:-1
Question asks to find opposite rays .Here the given options are segments so this is wrong.
Option-2
This is also given segments so its wrong
Option:-3
Question asks to find rays having endpoint x .means both started from one point and went different sides
So here Its v-x-y so its wrong.
Convert 13pi/6 to a degree measure
A=390
B=2450.44
C=30
D=780
Answer:
390 degrees
Step-by-step explanation:
The conversion factor is 180/pi
13 pi /6 * 180/pi
13/6 *180
390
Algebra 1 need help ASAP
Answer:
see explanation
Step-by-step explanation:
Given
10 - 3x < x + 30 ( subtract x from both sides )
10 - 4x < 30 ( subtract 10 from both sides )
- 4x < 20 ( divide both sides by - 4 and flip the sign )
x > - 5
Can someone help me out
Correct answer gets 5 stars and brainliest
Answer:
Option CStep-by-step explanation:
Find the equation of the graphed line.
Use 2 points, (0, -6) and (2, 4)
m = (4 + 6)/2 = 5b = -6The equation is:
y = 5x - 6Compare with the given line y = 4x + 2
5 > 4 and -6 < 2Correct answer choice is c
Which expression represents the prime factorization of 243?
A ) 3×3×3×3×2
B ) 3×3×3×3×3
C ) 3×3×3×3×2×2
D ) 3×3×3×3×3×3
Answer: B) 3 × 3 × 3 × 3 × 3
Concept:
In factorization, the easiest way is to divide the term multiple times by the least factor each time until the answer is not divisible. Then, multiply all the factors and the remainder together to get the factorization of a term.
Solve:
243 ÷ 3 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
Therefore, the prime factorization of 243 = 3 × 3 × 3 × 3 × 3
Hope this helps!! :)
Please let me know if you have any questions
Answer:
B
Step-by-step explanation:
how could it not be??
Write an equation of the line. What is the equation of the line?
Answer:
y=-1
Step-by-step explanation:
As the line is horizontal in nature and pass through (2,-1), the equation is y=-1
I
7. The total cost to rent a truck is $100 and $0.20 per km.
a. Determine an algebraic model for the relationship between total cost and distance driven. Use C to
represent total cost (S) to rent the truck and d to represent distance driven (km).
Answer:
C= 100+ d*0.2
Step-by-step explanation:
Give data
Cost of rental = $100
Cost per km= $0.2
Total cost= C
Distance= d
Let us model the expression
Hence the expression is given as
C= 100+ d*0.2
If Malcolm selects two coins at random without replacement, what is the probability (as decimal) that he selects a nickel followed by a dime? Penny 8 Nickel 6 Dime 8 Quarter 7
Answer:
65
Step-by-step explanation:
because
Answer:
1st coin: the probability for it to be a nickel is 6/29.
the 2nd coin, the probability for it to be a dime is 8/28.
total probability is 6/29 * 8/28 = 14/203.
PLEASE HELP
Find the probability of “landing” in the shaded region of the figures below.
Answer:
Hello,
p=0.1024
Step-by-step explanation:
The probability is the ratio of the areas of the 2 circles:
[tex]p=\dfrac{\pi*8^2}{\pi*25^2} =\dfrac{64}{625} =0.1024[/tex]
Answer:
64/625.
Step-by-step explanation:
Probability = area of small circle / area of the large one
= 8^2 / 25^2
= 64/625
 Which correlation best describes the data below.
no correlation
weak positive
strong positive
strong negative
Answer:
strong positive
Step-by-step explanation:
both variables are moving in the same direction and is nearly a line
As x increases, y increases. This has a strong positive correlation
Use the graph to find the constant of proportionality (unit rate)
Answer:
9) 10
10) 5
Step-by-step explanation:
find the missing length for the following trapezoid
Answer:
15 is the answer I think.
An exponential function fx) is reflected across the y-axis to create functiong(x). Which is a true statement
regarding fa) and g(x)?
The two functions have no points in common
The two functions have the same initial value
The two function have opposite output values of each other for any given input value
The graph of the two functions would look exactly the same
Intro
Answer:
The two functions have the same initial value
Identify the volume and surface area of the hemisphere in terms of pie.
Answer:
it's off topic but which grade are you in
The blue team scored two more than five times the number of points,p, scored by the red team
Write an expression for the problem
Answer:
2 + 5p
Step-by-step explanation:
Hi there!
Let [tex]p[/tex] equal the number of points scored by the red team.
We're given:
The blue team scored two more than five times the number of points scored by the red team.
⇒ blue team points = 2 + (5 × red team points)
⇒ blue team points = 2 + 5p
I hope this helps!
Find x.
A. √-2
B. 4
C. √2/2
D. √6/2
Answer:
sqrt(2)
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 45 = x/2
2 sin 45 =x
2 (sqrt(2)/2) =x
sqrt(2) =x
can someone please help me solve this?
Answer:
-15
Step-by-step explanation:
df(x, y) / dy = lim (f(x, y+h) - f(x, y)) / h =
lim (e^x^2 - 15y - 15h - e^x^2 ‐ 15y) / h = lim -15h / h = -15
so, the first derivative of f(x,y) by y is simply a constant : -15
fy (x, y) = -15 for any and every values of x and y.
the fast track would be derivative calculation :
the derivative by y makes x a constant. and every constant is eliminated for derivation.
so, e^x^2 goes away (= 0 in the derivative).
that leaves -15y = -15×y¹. its derivative simply is
1×-15×y⁰ = -15
Find the measure of one interior angle for the following regular polygon
rational or irrational? and why
Answer:
Irrational
Step-by-step explanation:
If we evaluate the square root, we realize that the number will not be a perfect square.
Since it is not a perfect square, it will be an unending, never-repeating, decimal.
Therefore, it will be irrational.
A recipe for eight flapjacks needs 2oz of butter, 3oz of sugar, and 4 oz of rolled oats. How many flapjacks can I make if I have 14 oz of butter, 15 oz of sugar, and 16 oz of rolled oats?
Answer:
Step-by-step explanation:
Eight flapjacks
2oz of butter
3oz of sugar
4 oz of rolled oats.
Each flapjack
Butter = 2/8 = 1/4 oz
Sugar = 3/8 oz
Rolled oats = 4/8 = 1/2 oz
How many flapjacks can I make if I have
14 oz of butter,
15 oz of sugar, and
16 oz of rolled oats?
Butter
= 14 oz ÷ 1/8 oz
= 14 × 8/1
= 112 flapjack
Sugar
= 15 oz ÷ 3/8 oz
= 15 × 8/3
= 120/3
= 40 flapjacks
Rolled oats
16 oz ÷ 1/2 oz
= 16 × 2/1
= 32 flapjack
Therefore,
Considering the quantity of rolled oats available, the number of flapjacks that could be made is 32
PLS HELP ASAP PLS PLSPLS
What is the explicit formula for this sequence?
6, 2, -2, -6, ...
Answer:
B
Step-by-step explanation:
this is just common sense. if you would have tried you could have easily answered this yourself.
the sequence starts with 6. that is a1.
so, the formula simply has to add "something" to 6.
therefore, A and D are out.
and then we see immediately that the sequence is built by subtracting 4 (or adding -4) for every step.
so, we need to add multiples of -4.
therefore, only B is correct (C adds multiples of +4).