Step-by-step explanation:
that is very simple. you do understand the word "perimeter" ? it just means the distance when walking around the whole shape once.
and that clearly means to just add all side lengths.
that's it.
so, 25 + 18 + 18 + 20 + 17 = 98 ft
was there any other problem with this you did not understand ?
how to dilate with a scale factor of 1/3 with orgin point on graph
Answer:
each coordinate is multiplied by 1/3
Step-by-step explanation:
Each point on the graph is moved to a distance from the origin that is its previous distance multiplied by the scale factor. This means every coordinate value is multiplied by the scale factor.
For example, a coordinate of (3, -9) scaled by 1/3 will become ...
(1/3)(3, -9) = (1, -3)
__
Additional comment
If your scale factor is 1/3, often you will find that coordinates of the larger image are all multiples of 3. This makes relocating them to 1/3 their original distance fairly easy. Even if they're not, you still move each point to 1/3 its original distance. The new point will be on the line segment joining the center of dilation (the origin) with the original point.
The attached graph is an illustration of dilation by a factor of 1/3.
Evaluate.
(−16+0.6(−13)+1)2
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
Evaluate.
(−16+0.6(−13)+1)2
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
Answer:
361/900
Step-by-step explanation:
[tex]\left(-\dfrac{1}{6}+0.6\left(-\dfrac{1}{3}\right)+1\right)^2=\left(-\dfrac{1}{6}-0.2+1\right)^2\\\\=\left(1-\left(\dfrac{1}{6}+\dfrac{1}{5}\right)\right)^2=\left(1-\dfrac{5+6}{6\cdot5}\right)^2=\left(\dfrac{19}{30}\right)^2=\boxed{\dfrac{361}{900}}[/tex]
At Tasty Dogs, 2 of the last 12 customers wanted mustard on their hot dogs. Considering this data, how many of the next 6 customers would you expect to want mustard?
Answer:
I would expect 1 person to want mustard.
Explanation:
6 is half of 12, and 1 is half of 2 :)
Hope this helped
I agree with everything that dagaminangel said since two out of 12 wanted mustard one should want mustard out of the six
Write a fraction pair of fractions with a common denominator: 1/3 and 3/4
II. Solve the problems involving variations. Show your complete solution. (3 points each) 1. If y varies directly as the square of x, and y = 32 when x = 2, find y when x = 5. 2. The force of attraction (F) between two opposite electrical charges varies inversely as the square of the distance (d) between them. If F = 18 when d = 10, find F when d = 15. 3. If y varies jointly as x and z, find y if x = 3, k = 6 and z = 9
Answer:
see explanation
Step-by-step explanation:
(1)
y varies directly as x² then the equation relating them is
y = kx² ← k is the constant of variation
To find k use the condition y = 32 when x = 2
32 = k × 2² = 4k ( divide both sides by 4 )
8 = k
y = 8x² ← equation of variation
When x = 5 , then
y = 8 × 5² = 8 × 25 = 200
(2)
Given F varies inversely as d² then the equation relating them is
F = [tex]\frac{k}{d^2}[/tex] ← k is the constant of variation
To find k use the condition F = 18 when d = 10
18 = [tex]\frac{k}{10^2}[/tex] = [tex]\frac{k}{100}[/tex] ( multiply both sides by 100 )
1800 = k
F = [tex]\frac{1800}{d^2}[/tex] ← equation of variation
When d = 15 , then
F = [tex]\frac{1800}{15^2}[/tex] = [tex]\frac{1800}{225}[/tex] = 8
(3)
y varies jointly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
when x = 3, y = 6, z = 9 ,then
y = 6 × 3 × 9 = 162
round 0.006772 to 1 significant figure
Answer:
[tex]0.007[/tex]
Step-by-step explanation:
Round to the required significant figure:
[tex]0.007[/tex]
where is paint d on the number line
Answer:
-1.1
Step-by-step explanation:
PLEASE HELP QUESTION IN PICTURE. (15 POINTS)
the length of a rectangle is 8 cm more than twice the width. the perimeter of the rectangle is 34 cm. what is the length of the rectangle
Answer:
14 cm
Step-by-step explanation:
let the length of the triangle be x and the width be y
x = 2y+8
2x + 2y = 34
2(2y + 8) + 2y = 34 (since x = 2y + 8)
6y + 16 = 34
6y = 18
y = 3
x = 2y + 8 = 2(3) + 8
x = 6 + 8
x = 14
( pls mark me the brainliest)
Mrs. Jenson's science quiz has 4 questions. Each question has answer choices "A," "B," "C," and "D." How many combinations of 4 answers are possible for the 4-question science quiz? Possible answers 16 , 24, 64, and 256.
Answer:
14
Step-by-step explanation:
For every question, there should be 1 answer.
There are 4 answers for the 4 questions
4 times 4 = 16
2(1+a) * 5(1+a)
help u u want to help or else continue helping
Step-by-step explanation:
We simply multiply what there is to multiply:
10(1+a)^2 = 10a^2 + 20a + 10
What is the slope of the line
Finding the Area of a Triangle
Calculate the area of the triangle:
A=
Answer:
27
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
Julian opened a college savings account. The amount of money in his account can be calculated using the function C(t) = 500(1.03)t, where t represents the time in years since the initial deposit. What does the value 500 represent in the function?
a
The amount of money in Julian's account after one year
b
The amount of interest Julian will earn each year
c
The amount of money for Julian's initial deposit
d
The maximum amount of money Julian can earn in his account
Answer:
C
Step-by-step explanation:
The value 500 represent the option C. The amount of money for Julian's initial deposit.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given that, Julian opened a college savings account.
The amount of money in his account can be calculated using the function,
C(t) = 500 (1.03)^t.
Here t is the time in years since the initial deposit.
When t = 0,
C(0) = 500 (1.03)^0
= 500 × 1 (since any number x⁰ = 1)
= 500
So the deposit at t = 0 means the initial deposit.
So 500 is the initial deposit.
Hence 500 represents the initial deposit amount.
Learn more about Exponential Functions here :
https://brainly.com/question/12277569
#SPJ7
Find sin 90° + cos 360° + tan 0°
Answer:
2
Step-by-step explanation:
sin 90 is 1;
cos 360 is cos 0, or 1; and
tan 0 is 0.
Thus, sin 90° + cos 360° + tan 0° = 1 + 1 + 0 = 2
The perimeter of the figure below is 135.8 in.
Find the length of the missing side.
Answer:
12.3
Step-by-step explanation:
subtract(its me again)
A stadium has 50,000 seats. Seats sell for $25 in section A, $20 in section B, and $15 in section C. The number of seats in section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,071,000 from each sold-out event. How many seats does each section hold?
Answers:
section A = 25,000 seats
section B = 14,200 seats
section C = 10,800 seats
Your teacher may want you to leave out the commas from each number.
=============================================================
Work Shown:
A = number of seats in section AB = number of seats in section BC = number of seats in section CA = B+C
A+B+C = 50,000
B+C+B+C = 50,000
2(B+C) = 50,000
B+C = 50,000/2
B+C = 25,000
C = 25,000 - B
25A + 20B + 15C = 1,071,000
25(B+C) + 20B + 15C = 1,071,000
25(25,000) + 20B + 15(25,000 - B) = 1,071,000
625,000 + 20B + 375,000 - 15B = 1,071,000
1,000,000 + 5B = 1,071,000
5B = 1,071,000 - 1,000,000
5B = 71,000
B = (71,000)/5
B = 14,200 is the number of seats in section B
C = 25,000 - B
C = 25,000 - 14,200
C = 10,800 is the number of seats in section C
A = B+C
A = 14,200 + 10,800
A = 25,000 is the number of seats in section A
--------------
Check:
A+B+C = 25,000+14,200+10,800 = 50,000
What is the common ratio between successive terms in the sequence?
Answer:
The common ratio of a geometric progression is calculated by dividing two consecutive terms and simplifying it to the simplest form. In the sequence, the ratio 1/3 is the same and is called the common ratio
Step-by-step explanation:
The common ratio of a geometric progression is calculated by dividing two consecutive terms and simplifying it to the simplest form. In the sequence, the ratio 1/3 is the same and is called the common ratio
its about drive
its about power
we stay hungry
we devour
Answer:
AYYYYY GET IT !!!!
Step-by-step explanation:
Answer:
put in the work put in the hour and take what's ours
Step-by-step explanation:
1.8 divided by 3 please.
Answer: 0.6 is the answer
. If x > 0 and cos 0 = 2/x , what is tan
in terms of x?
Answer:
Explanation:
A)wkt, tanx = perpendicular(p)/base(b) .....(1)
B)We are given tanx=5/12 .....(2)
C)On comparing the quantities we get that p=5 and b=12
D)We require the value of hypotenuse(h),
for this we apply the Pythagoras theorum i.e,
h
2
=
p
2
+
b
2
⇒
h
2
=
5
2
+
12
2
⇒
h
2
=25+144
⇒
h
2
=169
⇒
h=
√
169
⇒
h=13
Step-by-step explanation
well yeah thats the dang answer
Construct a quadrilateral RISK in which RI= 4.5 cm, IS=5.6 cm, SK=6 cm, RK=3.5 cm and RS=7.2 cm. Measure the diagonal KI.
The measure of the diagonal KI is approximately 6.465 centimeters.
The diagonals of the quadrilateral RISK are represented by line segments RS and KI, both measured in centimeters. There are two triangles forming the quadrilateral: [tex]\triangle RIS[/tex], [tex]\triangle RKS[/tex]
By Law of Sine and Law of Cosine we determine the measures of all internal angles:
Triangle RIS
[tex]RS^{2} = RI^{2}+IS^{2}-2\cdot RI\cdot IS \cdot \cos I[/tex] (1)
[tex]\frac{RS}{\sin I} = \frac{RI}{\sin S'} = \frac{IS}{\sin R'}[/tex] (2)
Triangle RKS
[tex]RS^{2} = RK^{2} + KS^{2}-2\cdot RK\cdot KS\cdot \cos K[/tex] (3)
[tex]\frac{RS}{\sin K} = \frac{RK}{\sin S''} = \frac{KS}{\sin R''}[/tex] (4)
[tex]S = S' + S''[/tex] (5)
[tex]R = R' + R''[/tex] (6)
By (1) and (3) we find the values of angles I and K:
[tex]I = \cos^{-1}\left(\frac{RI^{2}+IS^{2}-RS^{2}}{2\cdot RI\cdot IS} \right)[/tex]
[tex]I \approx 90.261^{\circ}[/tex]
[tex]K = \cos^{-1}\left(\frac{RK^{2}+KS^{2}-RS^{2}}{2\cdot RK\cdot KS} \right)[/tex]
[tex]K\approx 94.903^{\circ}[/tex]
By (2) and (4) we find the remaining angles for each triangle:
[tex]S' = \sin^{-1}\left[\left(\frac{RI}{RS} \right)\cdot \sin I\right][/tex]
[tex]S' \approx 38.682^{\circ}[/tex]
[tex]R' = \sin^{-1}\left[\left(\frac{IS}{RS} \right)\cdot \sin I\right][/tex]
[tex]R' \approx 51.057^{\circ}[/tex]
[tex]S'' = \sin^{-1}\left[\left(\frac{RK}{RS} \right)\cdot \sin K\right][/tex]
[tex]S'' \approx 28.969^{\circ}[/tex]
[tex]R'' = \sin^{-1}\left[\left(\frac{KS}{RS} \right)\cdot \sin K\right][/tex]
[tex]R'' \approx 56.128^{\circ}[/tex]
Then, we have the values of angles R and S by (5) and (6):
[tex]S \approx 67.651^{\circ}[/tex], [tex]R \approx 107.185^{\circ}[/tex]
The measure of the diagonal KI is found by the Law of Cosine:
[tex]KI = \sqrt{IS^{2}+SK^{2}-2\cdot IS\cdot SK\cdot \cos S}[/tex]
[tex]KI \approx 6.465\,cm[/tex]
The measure of the diagonal KI is approximately 6.465 centimeters.
To learn more on quadrilaterals, we kindly invite to check this verified question: https://brainly.com/question/6321910
what the first 3 prime numbers greater than 12
Triangle J K L is shown. Point M is the midpoint of side K L and point J is the midpoint of side J L. The length of K J is 12. 8 meters, the lengths of J N and N L are 3. 7 meters, and the lengths of K M and M L are 5. 9 meters. Which statements about triangle JKL are true? Select two options. M is the midpoint of line segment KJ. N is the midpoint of line segment JL. MN = One-halfKJ MN = 4. 4m MN = ML.
The true statements are: M is the midpoint of line segment KJ and N is the midpoint of line segment JL
The given parameters are:
[tex]KJ = 12.8m[/tex]
[tex]JL = 7.4m[/tex]
[tex]KL = 11.8m[/tex]
From the figure (see attachment), we have the following highlights
Either sides of point M on line segment KL is 5.9 metersEither sides of point N on line segment JL is 3.7 metersThe midpoint of a line segment divides the line segment into equal halves.
Read more about midpoints at:
https://brainly.com/question/4363233
Answer:
Correct answer is A & B on edge
Step-by-step explanation:
You are going to a private apple orchard to pick apples. There is a one-time entry fee that everyone pays, and you also pay a certain amount per pound of apples you pick. It costs $46 to buy 5 pounds of apples, and it costs $58 to buy 7 pounds of apples.
The one-time entry fee is $6 and the price per pound is $4.
In order to determine the one time entry fee and the cost to pick an apple per pound, two equations would be formed from the question:
x + 5y = 46 equation 1
x + 7y = 58 equation 2
Where:
x = one-time entry fee
y = price per pound
In order to determine the value of y, subtract equation 1 from 2
2y = 12
y = 12 / 2 = 6
In order to determine the value of x, substitute for y in equation 1:
x + 5(6) = 46
x + 30 = 46
x = 40 - 36
x = 4
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Hi! Kindly give me the formula for finding the percentage of profit.
Profit and selling price are given. Thank you in advance!
When the selling price and the cost price of a product is given, the profit can be calculated using the formula, Profit = Selling Price - Cost Price. After this, the profit percentage formula that is used is, Profit percentage = (Profit/Cost Price) × 100.
Step-by-step explanation:
Given:
Profit P and selling price SpFind cost price Cp first:
Cp = Sp - PTo find the percentage profit divide the profit by the cost price and multiply by 100%:
P% = P/(Sp - P)*100%-4r>16 I need help???
Answer:
-4
Step-by-step explanation:
Well to single out the “r”, you must divide both sides by -4:
-4r>16
/-4 /-4
r<4
*remember to switch the sign because you dividing by a negative number*
On the set of axes below. solve the following
system of equations graphically. Statc the
coordinates of the solution.
y=4x-1
2x + y = 5
Answer:
i think x=1 y=3 (1,3)
Step-by-step explanation:
2x+4x-1 = 5
x = 1
y = 4x-1
y = 4(1)-1
y = 4-1
y = 3
Help. Here's the question, could you please put the letter answer, please.
Answer:
A
Step-by-step explanation:
Find sum of arithmetic series where a1 = 7, n=31, nth a =127
Answer:
Sum of arithmetic series is [tex]2077[/tex]
Step-by-step explanation:
We have [tex]n[/tex]th term of arithmetic sequence
[tex]a+(n-1)d[/tex]
Here
[tex]a+(n-1)d=127\\\\7+(31-1)d=127\\\\d=\frac{120}{30} \\\\=4[/tex]
Sum of arithmetic sequence [tex]=\frac{n}{2} (2a+(n-1)d)[/tex]
[tex]=\frac{31}{2} (2\times7+(31-1)4)\\\\=\frac{31}{2} (14+120)\\\\=31\times67\\\\=2077[/tex]
Answer:
The sum of arithmetic series is 2077.
Step-by-step explanation:
Solution :
Here we have provided that :
»» [tex]\rm{a_1}[/tex] = 1»» [tex]\rm{n}[/tex] = 31»» [tex]\rm{a_n}[/tex] = 127We need to find :
»» The sum of arithmetic series.Here's the required formula to find the sum of arithmetic series :
[tex]\longrightarrow{\pmb{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}[/tex]
Substituting all the given values in the formula to find the sum of arithmetic series :
[tex]{\longrightarrow{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \Big(7 + 127 \Big)}}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \Big(134 \Big)}}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \times 134 }}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{\cancel{2}} \times \cancel{134 }}}[/tex]
[tex]{\longrightarrow{\sf S = 31 \times 67}}[/tex]
[tex]{\longrightarrow{\sf S = 2077}}[/tex]
[tex]\star \: {\underline{\boxed{\sf{\red{S = 2077}}}}}[/tex]
Hence, the sum of arithmetic series is 2077.
[tex]\rule{300}{1.5}[/tex]