find the interior angle sum for the following polygon.
We know that the interior angle sum of a polygon is (n − 2) × 180°, where n is the number of sides.
Here, number of sides (n) = 12
So, interior angle sum = (n − 2) × 180°
=> interior angle sum = (12 - 2) × 180°
=> interior angle sum = 10 × 180°
=> interior angle sum = 1800°
So, the interior angle sum of this polygon is 1800°.
A ladder reaches 6 m up a wall with its foot 2·4 m from the wall. A person standing under the ladder at a point 80 cm from its foot would be able to touch the ladder at a height of _____ m from the ground.
Hey there! I'm happy to help!
We see that the ladder reaches a height of 6m from the ground while being 2.4 m from the wall. The ratio of the height to the length from the wall is 6:2.4 which can actually just simplify to 2.5 because 6m to is 2.4*2.5.
This person is 80 cm from the ladder's base. We just saw that you can take the distance from the wall (in this case, our wall is the human as the human is touching the height) and multiply it by 2.5 to find the height of the ladder at that specific point. So let's do that.
80*2.5= 200
We are looking for meters though. Since there are 100 centimeters in a meter, this is just going to be 2 meters.
Have a wonderful day! :D
Find the following measure for this figure.
3
The volume for this figure??
Answer:
24
Step-by-step explanation:
Volume of a cuboid = length*base*height or 4*2*3=24. The volume of this cuboid is 24.
The fox population in a certain region has a continuous growth rate of 7 percent per year. It is estimated that the population in the year 2000 was 14300. (a) Find a function that models the population t years after 2000 (t=0 for 2000). Hint: Use an exponential function with base e. Your answer is P(t)
Answer:
P(t) = 14300e^0.07t
Step-by-step explanation:
Let :
Population as a function of years, t = P(t) ;
Growth rate, r = 7%
Estimated population on year 2000 = Initial population = 14300
The given scenario can be modeled using an exponential function as the change in population is based in a certain percentage increase per period.
P(t) = Initial population*e^rt
P(t) = 14300*e^(0.07t)
P(t) = 14300e^0.07t
Where, t = number of years after year 2000.
What is 2x2x4 I’m asking from my big brothers account
Step-by-step explanation:
2×2×4=16
Hope it helps uß
Which technique is vital for giving an effective presentation?
A.
Focus on the audience’s opinions of your topic.
B.
Use eye contact and speak clearly and deliberately.
C.
Reference only your own thoughts and opinions about the topic.
D.
Use technical terms when speaking to an informal audience.
E.
Analyze the audience right before delivering your speech.
Reset
Answer:
B.
Use eye contact and speak clearly and deliberately.
Step-by-step explanation:
let me know if you have any questions
Answer:
b
Step-by-step explanation:
because
As James bought his textbooks for classes one semester, he estimated the cost to the nearest ten dollars. He knew he could cover the cost up to $315. His math book cost $68.41, biology text was $105.35, literature text cost $72.49, and the AutoCAD text was $59.91. What rounded sum did James determine
Answer:
$310
Step-by-step explanation:
The first step is to add the costs of the textbook together :
$68.41 + $105.35 + $72.49 + $59.91 = $306.16
In order to round off to the nearest ten dollars, look at the units figure, if the number is greater or equal to 5, add 1 to the ten figure. If this is not the case, add zero. Replace the unit digit with zero
The unit digit is greater than 6, so 1 is added to the tens digit. The amount becomes $310
9,583,507 to the nearest ten thousand
Answer:
9,580,000
Step-by-step explanation:
The ten thousand place is the 8
look and the thousands place which is 3
This is less than 5 so we leave the ten thousands place alone
9,583,507 becomes
9,580,000
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{9,583,507}[/tex]
[tex]\huge\textsf{= 9,600,000} \leftarrow \huge\textsf{nearest \underline{\underline{HUNDRED}} thousand}[/tex]
[tex]\huge\textsf{= 9,580,000} \leftarrow\huge\textsf{nearest \underline{\underline{TEN}} thousand}[/tex]
[tex]\large\textsf{83 is rounded to 80 because it is closer to 80 than 90. 3 is closer to}\\\large\textsf{0 than 10}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 9,580,000}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day! }[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Provide a real-world situation in which it would be appropriate to use a geometric sequence or series. Be sure to explain why a series or a sequence is more appropriate
Step-by-step explanation:
Well talking about the practical use of Arthematic sequence or series..
i have an example..
suppose there is a highway and in most condition.. Petrol or diesel station are kept in a common distance..
now you can easily calculate or predict where the next petrol or diesel station is ..
and about Geometric sequence or series
There are many uses of geometric sequences in everyday life, but one of the most common is in calculating interest earned. Mathematicians calculate a term in the series by multiplying the initial value in the sequence by the rate raised to the power of one less than the term number. The sequence allows a borrower to know the amount his bank expects him to pay back using simple interest
and
Physicists use geometric progressions to calculate the amount of radioactive material left after any given number of half-lives of the material. During each half-life, the material decays by 50 percent.
Tamanika got a raise in her hourly pay, from $15.50 to $17.85. Find the percent increase. Round to the nearest tenth of a percent.
Answer:
13.2%
or 115.2%
Step-by-step explanation:
hope it's correct. lemme know which one is correct
If f(1) = 10 and f(n) = f(n − 1) – 3 then find the value of f(4).
Answer:
f(4) =1
Step-by-step explanation:
f(1) = 10
f(n) = f(n − 1) – 3
Let n=2
f(2) = f(2 − 1) – 3 = 10-3 = 7
Let n =3
f(3) = f(3 − 1) – 3 = f(2) -3 = 7-3 = 4
Let n = 4
f(4) = f(4 − 1) – 3 = f(3) -3 = 4-3 = 1
Answer:
9
Step-by-step explanation:
f(4)=4(4-1)-3
f(4)=4(3)-3
f(4)=12-3
f(4)=9
Write an equation
in slope y-intercept form A(2,6),m=0
Solve for b:
y = 0x + b
6 = 0 + b
b = 6
The answer is y = 0x + 6
Part C Next, find the length of BC place point F at (4,4) and draw BF and FC now you hav the right ∆BFC with BC as the hypotenuse find BC and FC ising the coordinates of B,C, and,F then use the Pythagorean theorem to find BC show your work need help ASAP giving thanks and points away I just need these answer fast ???
Answer:
BF = |4 – 1| = 3
FC = |4 – 0| = 4
Using the Pythagorean Theorem to find BC:
BC2 = BF2 + FC2
BC2 = 32 + 42
BC2 = 9 + 16
BC = sqaure root 25
BC = 5
Step-by-step explanation:
The length of BC is 5 unit.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
We need to find the length of BC place point F at (4,4) and draw BF and FC now you have the right ∆BFC with BC as the hypotenuse find BC and FC using the coordinates of B,C, and,F then use the Pythagorean theorem to find BC.
Using the Pythagorean Theorem to find BC:
BC^2 = BF^2 + FC^2
BC^2 = 32 + 42
BC^2 = 9 + 16
BC = √25
BC = 5
So, BF = |4 – 1| = 3
FC = |4 – 0| = 4
Learn more about Pythagoras theorem here:
https://brainly.com/question/12105522
#SPJ2
In a research study, students were randomly assigned to three different groups. Group 1 drank no cups of coffee, group 2 consumed 1 cup of coffee, and group 3 consumed 2 cups of coffee. Following this, all the participants took an IQ test. What is the independent variable
Answer:
The score that they got on the IQ test is the dependent variable
Step-by-step explanation:
value of the pronumeral and describe the rule.
4,1,-2,p,-8,-11
Answer:
p = -5
every element in the sequence is created by subtracting 3 from the pervious element.
Step-by-step explanation:
I am not sure you put every necessary information here.
but I'd the visible information is truly everything, then it's is trivial.
the difference between 4 and 1 is ... well, -3. meaning we subtract 3 from 4 to get 1.
we suspect this is the rule and keep trying.
1 -3 = -2
hey it works.
and -8 -3 = -11
hey, also correct.
and the difference between -2 and -8 is -6, and when we place another item in between (p), we cut that in half again to -3. so, it is all consistent.
therefore,
p = -2 -3 = -5
the rule is
an = an-1 - 3
Correct answer get brainliest and 5 star
Answer:
B
Step-by-step explanation:
(Slant height)^2= (Radius)^2+(Height)^2
(20)^2= (12)^2+(Height)^2
Height=16
Answer:
B. pls mark me at brainliest and like my answer.
Step-by-step explanation:
⩥ɓeŋʝ⩤
Warren has money to go see a movie after he pays $8 for the MOVIE he will have $14 left right and solve an equation to show how much money Warren has before paying for the movie
Answer:
$(8+14)
Step-by-step explanation:
Amount of money Warren has at first=$8+$14=$22
If s = 6 and t = 4, find the value of x.
x = 4 + s - t
Answer:
x = 6
Step-by-step explanation:
s = 6
t = 4
x = 4 + s - t
Substituting s and t in equation,
x = 4 + 6 - 4
x = 6
Answer:
6
Step-by-step explanation:
s=6
t=4
x= 4+6-4
x=10-4
x=6
Therefore; the final result is 6
Is the answer I’ve chosen correct? This is really confusing for my stressed brain :(.
Answer:
X is greater than 5.
Step-by-step explanation:
You choose the correct answer because X > 5.
Meaning that x would be any number over 5.
pls pls pls pls help me
.................................
What is the length of AC?
Answer:
B) 4 miles
Step-by-step explanation:
the big triangle CAB and small triangle CED are simular (given)
this means the ratio between their corresponding sides will be the same.
find corresponding sides with alternate interior angle theorem
m CDE= m CBA
vertical angles theorem
m ACB = m DCE
therefore, AC corresponds to CE
find ratio of sides
7 miles = 36960 feet
36960/ corresponding side 21 ft
36960/ 21= 1780 ft
multiply by 1780 to get from small side to big side
small side CE = 12 ft
12*1780
=21120 ft =AC (in ft)
convert to miles (ft to miles is ft/5280)
21120/5280
=4 miles
hope this helps
There is a distance marker every 100 m and a pole every 80 m along a straight road. There is a distance marker and a pole together at the start of the road. How far along the road will there be a distance marker and a pole together again?
Answer:
At a distance of 400 m.
Step-by-step explanation:
From the information in the given question, a distance marker and pole are together at the start of the road.
Thus,
the distance marker would mark the road 100 m, 200 m, 300 m, 400 m, 500 m etc.
Also,
the pole would be located 80 m, 160 m, 240 m, 320 m, 400 m, 480 m etc.
Comparing the distance of location of the marker and pole, it would be observed that the next location where the two would be together is 400 m from the starting point.
Therefore, there would be a distance marker and a pole together at 400 m from the stat of the road.
The perimeter of a rectangle is 74 inches. If the length is five more than the width, what are the rectangle's measurements?
Answer:
P=2(74)+2(5)
148+10=158
Answer my question
im being timed
Answer:
the third one
Step-by-step explanation:
what is |x-4| if x>4
Answer:
x-4
Step-by-step explanation:
If x>4, |x-4|>0 which means |x-4|=x-4
X = [?]°
Dr.
X Х
As
140°
B
C
Answer:
40°
Step-by-step explanation:
x+140=180°(angle on a straight line)
x=180-140
x=40°
∠DBA and ∠DBC are making linear pair.
Linear pair of angles are formed when two lines intersect each other at a single point.
The sum of angles of a linear pair is always equal to 180°[tex] \rm \large\longrightarrow \: \: x \: + \: 140 \degree \: = \: 180 \degree[/tex]
[tex]\rm \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 140 \degree \: [/tex]
[tex]\rm \large\longrightarrow \: \: x \: = \: 40 \degree[/tex]
What is 15.4624 divided by 0.32
Answer:
48.32
Step-by-step explanation:
What is the value of x in the equation 1/5x - 2/3y
=
30, when y = 15?
Answer:
x = 200
Step-by-step explanation:
Plug in 15 as y into the equation and solve for x:
1/5x - 2/3y = 30
1/5x - 2/3(15) = 30
1/5x - 10 = 30
1/5x = 40
x = 200
So, when y = 15, x = 200
It cost 2.10 for a gourmet coffee shop to make a small latte.The price of a small latte is 2.94.What is the percent markup on the latte
Answer:
40%
Step-by-step explanation:
Given that :
Cost of production of small latte = 2.10
Sale price of small latte = 2.94
The Markup = Sale price of small latte - cost of production of small latte
The Markup = 2.94 - 2.10 = 0.84
Percentage Markup = (0.84 / 2.10) * 100%
Percentage Markup = 0.4 * 100% = 40%
Find the Measure of one interior angle for each polygon
Answer:
5 corners : 108 degrees
6 corners : 120 degrees
Step-by-step explanation:
there are (at least) 2 different views to get the result :
officially (usually the teachers' preferred method) you consider a polygon as a combination of non-overlapping triangles. a polygon with n corners or edges we can split into n-2 such triangles.
each triangle has an angle sum of 180 degree.
so, the polygon angle sum is (n-2)×180 degrees.
and each (internal) angle is then (n-2)×180/n
n = 5 : (5-2)×180/5 = 3×36 = 108 degrees
n = 6 : (6-2)×180/6 = 4×30 = 120 degrees
the second approach (I prefer) goes after the external angles of the polygon.
the sum of all external angles in any polygon is 360 degrees (a full circle).
for n corners/edges each external angle is 360/n.
and the internal angle is then the complement to 180 degrees = 180 - 360/n
n = 5 : 180 - 360/5 = 180 - 72 = 108 degrees
n = 6 : 180 - 360/6 = 180 - 60 = 120 degrees
