40. Write an expression to represent the area of the flag as the sum of the areas of each section.
? x+?\(1 {1}/{2}+3(x+7)
Answers
The expression to represent the area of the flag as a sum of areas of each section is 2*x + 2(\(1\frac{1}{2}\) ) + 3*(x + \(1\frac{1}{2}\) ) .
In the question ,
a flag is given that have three colors ,
we have to find an expression for the area of the flag .
For the Green Part ;
the length is 2 units ,
and the width is x units .
So ,the area of the green part is = 2*x .
For the Orange Part ;
the length is 2 units ,
and the width of the orange part is = \(1\frac{1}{2}\) units ,
So , the area of the orange part is = 2(\(1\frac{1}{2}\) ) units .
For the Purple part ;
the length is = 3 units ,
and the width is = (x + \(1\frac{1}{2}\) ) units .
So , the area of the purple part is = 3*(x + \(1\frac{1}{2}\) ) units .
So the area of the flag is = area of ( Green part + Orange Part + Purple Part) .
Substituting the values ,
we get ,
Area = 2*x + 2(\(1\frac{1}{2}\) ) + 3*(x + \(1\frac{1}{2}\) ) .
Therefore , the expression for the area is 2*x + 2(\(1\frac{1}{2}\) ) + 3*(x + \(1\frac{1}{2}\) ) .
Learn more about Area here
https://brainly.com/question/19659692
#SPJ4
Related Questions
Triangle ABC: A(0,-1), B(0,3) C(-3,3) is transformed to triangle A’B’C’: A’(5,0) B’(2,4) C’(5,4). Is this transformation a rigid motion? explain how you know whether it is a rigid motion or not
Answers
The shapes are identical before and after transformation, so the transformation is rigid.
Explanation:If A transformation is rigid, then the shapes are identical before and after the transformation.
Triangle ABC: A(0, -1), B(0, 3) C(-3, 3)
AB = (0, 4)
BC = (-3, 0)
BA = (3, -4)
Triangle A'B'C' = A'(5, 0), B'(2, 4), C'(5, 4)
A'B' = (-3, 4)
B'C' = (3, 0)
C'A' = (0, -4)
The transformation is rigid, since the shapes are identical (they only differ in sense).C' = (3, 0)
B
Find the 8th term of the geometric sequence 6, 18, 54
Answers
6 • 3 = 18
18 • 3 = 54
54 • 3 = 162
162 • 3 = 486
486 • 3 = 1,458
1,458 • 3 = 4,374
4,374 • 3 = 13,122
Beginning at 6 as the initial value, we will find that the 8th term of this geometric sequence is 13,122.
Answer:
13122
Step-by-step explanation:
Term multiply by 3
First term is 6
Seven terms remain to be defined
then the 8th term is:
6 * 3⁷ = 6*2187
= 13122
Estimate the quotient using compatible numbers.
627 ÷ 8 = _____
A 600
B 80
C 700
D 90
Answers
Simplify:
2
(
3
x
)
+
(
x
+
10
)
2(3x)+(x+10)
Answers
Answer:
7x+10
Step-by-step explanation:
2x(3x)+1x(x+10)
6x+1x+10
7x+10
Find the value of each variable in the parallelogram. Round your answers to the nearest tenth, if necessary. G a = (46) K (3a +19) b H 56°
Answers
The value of every variable in the parallelogram is: a = 9 HK = 27.0 GK = 46 G = 63.5°
What do you mean by Parallelogram ?A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.These shapes include squares, rectangles, rhombuses, and rhomboids. All of these shapes have four sides, four corners, and four angles
We know that sides of a parallelogram are parallel and congruent, as opposite angle
According to question that GA equals HK, as:
46 is equal to 3a plus 19 When we subtract 19 from both sides, we get:
27 x 3a is the result of dividing both sides by 3:
we know that opposite angles in a parallelogram are congruent, we can use a = 9. Since angle H is 56 degrees, angle K must also be 56 degrees. The length of side HK can be determined using the Law of Cosines:
HK2 = GA2 + GK2 - 2(GA)(GK)cos(H) When we substitute the values we are familiar with, we obtain:
After solving the equation we obtain: HK2 = 462 + (3a + 19)2 - 2(46)(3a + 19)cos(56°).
HK2 = 2112 + 9a2 + 342a - 2764cos(56°) HK2 = 2112 + 9(9)2 + 342(9) - 2764cos(56°) HK2 732.4 By taking the square root of both sides, we obtain the following results:
∵ GA = 46, we can use the parallelogram's opposite sides being congruent to determine the length of side GK: HK 27.0
Then, we can use the Law of Cosines to determine the angle G's measurement:
cos(G) = (HK2 + GA2 - GK2) / (2(HK)(GA)) Using the values we are familiar with, we get,
cos(G) = (27.02 + 462 - 462) / (2(27.0)(46)) cos(G) 0.465 Using the inverse cosine, we get the following:
G ≈ 63.5°
Hence, the worth of every variable in the parallelogram is:
a = 9 HK = 27.0 GK = 46 G = 63.5°
Learn more about Quadrilateral here
https://brainly.com/question/29934440
SPJ1
The standard form of an absolute value function is R(x) = a|x-h|+k Which of the following represents the vertex?
o (-k,h)
o (-1,K)
o (k,h)
o (h,k)
Answers
Answer:
o (h,k)
Step-by-step explanation:
Select the correct answer.
Based on the end behavior of the graph, which polynomial function is graphed here?
1
-2
--3
OA. 1x)=34 - 6x2 - 2x +x+3
OB. RX) =-3x2 -27 +3+3
OC 1x) = 34 - 6x2 - 2x2 + x+3
OD. Ax) = 3x3 - 237 ++3
Answers
Answer:
A
Step-by-step explanation:
nsjjdhdhduduyf if ueuheueuheehdhufgrueueuududuududududuss
Rewrite [14[]/[5]] as a mixed number.
Answers
Hello There!
14/5 as a mixed number is
2+4/5
\(S^TE^PS^:\)
First, think about how many times we can stuff 5 into 14.
Turns out the answer is 2. So \(2\) is the whole part. However, we must also have a fraction.
Now that we know that we can stuff 5 into 14 twice, we think about what is left.
5*2=10 And we have 14. So 14-10=4
4 is the numerator of our fraction.
The denominator stays the same.
\(2\frac{4}{5}\)
Hope it helps and please mark Brainliest!
\(GraceRosalia\)
consider the following data for two independent random samples taken from two normal populations. sample 1 10 7 14 7 9 7 sample 2 9 7 8 4 5 9
a. Compute the two sample means.
Sample 1: Answer 9
Sample 2: Answer 7
b. Compute the two sample standard deviation (to 2 decimals).
Sample 1: Answer 2.28
Sample 2: Answer 1.79
c. What is the point estimate of the difference between the two population means? Answer
d. What is the 90% confidence interval estimate of the difference between the two population means (to 2 decimals - - use 9 degrees of freedom)? Answer
Answers
C. The point estimate of the difference between the two population means is 2.
D. The 90% confidence interval estimate of the difference between the two population means is (1.748, 0.867)
Given that:
Sample 1 mean (x1) = 9
Sample 2 mean (x2) = 7
Sample 1 standard deviation (σ1^2) = 2.28
Sample 2 standard deviation (σ2^2) = 1.79
C. To find point estimate of the difference between the two population means.
sample mean(x1) - sample mean(x 2)
= 9 - 7
= 2
Therefore, point estimate = 2
D. To find 90% confidence interval estimate of the difference between the two population means
90% confidence for 't'
df = (n1 + n2) - 2
= 12-2
= 10
90% confidence with df = 10 is t
t = 1.812
point estimate + 1 - t * \(\sqrt{\frac{s^2_{1} }{n_{1} } + \frac{s^2_{2} }{n_{2} } }\)
2 + 1 - 1.812*\(\sqrt{\frac{2.28^2}{6} + \frac{1.79^2}{6} }\)
3 - 1.812 *\(\sqrt{0.866 + 0.534}\)
1.188 * 0.9305 + 0.7307
(1.748, 0.867)
To learn more about point estimate check the given link
https://brainly.com/question/16256145
#SPJ4
Guys my main account is gone i dont know why. Am I baned?
Answers
Answer:
Try contacting the Help center located at the bottom part of the home page of this site. It is recoverable as long as no violation committed
14 points! PLEASE HELP!!!
Answers
Step-by-step explanation:
I just did in the other posting. how often did you post it ?
this is a trick question. the triangle at the top is not an isoceles triangle.
we use Pythagoras for an the steps.
so, the left part of the baseline (split by the height) is calculated by
12² = 10² + part²
144 = 100 + part²
part = sqrt(44) = 6.633249581... ft
the other part is then
20 - 6.633249581... = 13.36675042... ft
and the second leg of the large triangle is
leg² = 10² + 13.36675042...² = 278.6700168...
leg = 16.69341238... ft
P = 12 + 16.69341238... + 8 + 8 + 20 = 64.69341238... ft ≈
≈ 64.69 ft
please see the answer to the other posting for more details.
Identify the missing terms in the given arithmetic sequence.
5, ?, ?, ?, -9.
Answers
Answer:
the whole sequence is
5, 1 1/2, -2, -5 1/2, -9
the missing elements were
1 1/2, -2, -5 1/2
Step-by-step explanation:
an arithmetic sequence means that there is always constant added or subtracted from the previous term to create the next term.
we know, we need to go 4 steps or terms to get from 5 to -9.
5 + c = ?
5 + c + c = ??
5 + c + c + c = ???
5 + c + c + c + c = -9
5 + 4c = -9
4c = - 14
c = -14/4 = -7/2
so, we get
? = 5 + -7/2 = 10/2 - 7/2 = 3/2 = 1 1/2
?? = 3/2 - 7/2 = -4/2 = -2
??? = -4/2 - 7/2 = -11/2 = -5 1/2
and the next step is -11/2 - 7/2 = -18/2 = -9
correct.
Answer: 1.5, −2, −5.5
Step-by-step explanation:
Which choices are solutions to the following equation? Check all that apply. X^2-10x-5=9
Answers
Answers:
5 + √39
5 - √39
Help me answer this please!!!
Answers
Answer:
ok
Step-by-step explanation:
ok
Answer:
its 502.4 i believe
Step-by-step explanation:
Kelly had2 3/4 qt of cooking oil. She used 2/5 of it to deep fry some fish. How much oil did she use
Answers
Answer:
answer is 3 3/20
You are the manager of a fast-food store. Part of your job is to report to the boss at the end of each day which special is selling best. Use your vast knowledge of descriptive statistics to write one paragraph letting the boss know what happened today. Here are the data. Do this exercise by hand. Be sure to include a copy of your work.SPECIAL NUMBER SOLD COSTHuge Burger 20 $2.95Baby Burger 18 $1.49Chicken Littles 25 $3.50Porker Burger 19 $2.95Yummy Burger 17 $1.99Coney Dog 20 $1.99Total Specials Sold 119
Answers
Answer:
A total of 119 Specials were sold today. Chicken Littles had the highest number sold, which represents about 21% (25/119 * 100) of the total sales and a cost of 24% of the total costs. This was followed by Huge Burger and Coney Dog which were sold 20 each or about 17% of the number sold. Poker Burger, Baby Burger, and Yummy trailed behind with total sales of 19, 18, and 17 respectively.
Step-by-step explanation:
a) Data and Calculations:
SPECIAL NUMBER SOLD Percentage COST Percentage
Huge Burger 20 17% $2.95 20%
Baby Burger 18 15% $1.49 10%
Chicken Littles 25 21% $3.50 24%
Porker Burger 19 16% $2.95 20%
Yummy Burger 17 14% $1.99 13%
Coney Dog 20 17% $1.99 13%
Total Specials Sold 119 100% $14.87 100%
4.1 Determine the number that makes the following statement true. 53 - (a certain number) = 65 The certain number =
Answers
Answer: To find the certain number, we need to subtract 53 - 65:
53 - 65 = -12
Therefore, the certain number that makes the statement true is -12.
Step-by-step explanation:
HELPPPPP SOMEONE HELP AND I WILL MARK BRAINLIST!!!
Answers
Answer:
Angle B and Angle D are both 101 degrees
Step-by-step explanation:
Consecutive Angles in a parallelogram are supplementary (add up to 180 degrees).
Given that fact, we can deduce the measure of angle B.
180-79=101.
Angle D has the same setup since Angle D and C are consecutive along with Angle C and B.
180-79=101.
Therefore, both Angle B and D are 101 degrees.
6. Do planes GFE and HBC intersect? Explain.
Answers
Answer:
yes at line HE.
Step-by-step explanation:
Plane GFE is the plane that contains face EFGH of the prism.
Plane HBC is the plane that contains face BCEH of the prism.
The two planes do intersect, and their intersection is line HE.
The
property of addition states that any number plus zero equals the other
number.
identity
commutative
Inverse
associative
Answers
Answer:
identity 4
Step-by-step explanation:
Angela earns $11.50 per hour. If she works more than 40 hours a week she earns double time. This week she worked a total of 48 hours. How much was her total weekly paycheck?
Answers
Answer:
11.50 x 40 regular hours is $460
double time is 11.50 x 2 = $23 an hour
She makes $23 an hour for 8 hours = $184
$460 + $184 = $644 paycheck
I am lost on this question i found both but it keeps on telling me i am incorrect
Answers
Answer:
I have completed the answers and attached them to the explanation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The question asks for a subtraction expression:
length is always a positive number so bigger number first here.
OB = 4-(-1) >only moves in x direction so subtract x's
AB = 4-(-2) >only moves in y direction so subtract y's
Find the average rate of change of g ( x ) = 3 x^3 − 4 from x = − 4 to x = 1 .
Answers
Solution:
The average rate of change is calculated using;
\(\begin{gathered} \frac{g(b)-g(a)}{b-a} \\ Where; \\ a=-4,b=1 \end{gathered}\)Then;
\(\begin{gathered} g(x)=3x^3-4 \\ \\ g(-4)=3(-4)^3-4 \\ \\ g(-4)=3(-64)-4 \\ \\ g(-4)=-192-4 \\ \\ g(-4)=-196 \\ \\ g(1)=3(1)^3-4 \\ \\ g(1)=3(1)-4 \\ \\ g(1)=3-4 \\ \\ g(1)=-1 \end{gathered}\)Thus, the average rate of change is;
\(\begin{gathered} =\frac{-1-(-196)}{1-(-4)} \\ \\ =\frac{195}{5} \\ \\ =39 \end{gathered}\)ANSWER: 39
18. x out of 20 students own hand-held games; 150 out of 200 students own hand-held games.
Answers
Answer:
170 I think-
Step-by-step explanation:
Of 82 adults selected randomly from one town 66 have healthcare find a 90% confidence interval for the true proportion of all adults in the town who have health insurance.
Answers
The 90% confidence interval for the true proportion of all adults in the town who have health insurance is approximately 0.7294 to 0.8804.
How to find the 90% confidence interval for the true proportion of all adults in the town who have health insuranceUsing the formula for calculating a confidence interval for a proportion.
The formula for the confidence interval is:
Confidence Interval = Sample proportion ± Margin of error
where:
Sample proportion = Number of adults with health insurance / Total sample size
Margin of error = Critical value * Standard error
The critical value depends on the desired confidence level. For a 90% confidence level, the critical value can be obtained from the standard normal distribution table, which corresponds to a Z-value of 1.645.
The standard error can be calculated using the formula:
Standard error =\(\sqrt{} ((p * (1 - p)) / n)\)
Given:
Number of adults with health insurance (sample proportion) = 66
Total sample size = 82
Confidence level = 90%
Now, let's calculate the confidence interval:
Sample proportion = 66 / 82 ≈ 0.8049
Standard error = \(\sqrt{}\)((0.8049 * (1 - 0.8049)) / 82) ≈ 0.0459
Margin of error = 1.645 * 0.0459 ≈ 0.0755
Lower bound of the confidence interval = Sample proportion - Margin of error ≈ 0.8049 - 0.0755 ≈ 0.7294
Upper bound of the confidence interval = Sample proportion + Margin of error ≈ 0.8049 + 0.0755 ≈ 0.8804
Therefore, the 90% confidence interval for the true proportion of all adults in the town who have health insurance is approximately 0.7294 to 0.8804.
Learn more about confidence interval at https://brainly.com/question/20309162
#SPJ1
!!!!!! please help!!!!!!!!!!
Answers
Answer:
6ft
Step-by-step explanation:
ASAP PLEASEE HELP!!!!
Answers
Answer:
The first option: \(-1 \frac{4}{5}\)
Step-by-step explanation:
Multiply both sides 9.
-2x = 18/5
Divide both sides by -2.
x = -9/5 or -1 4/5
In the adjoining figure, in ΔABC, D is the midpoint of the side BC.Hence a) AD is ___________ A b) AM is ____________ c) Is BD = DC please help!!!!!!!!!!!!!!
Answers
Answer:
a) AD is Median
b) AM is Perpendicular Bisector
Step-by-step explanation:
c) Yes because the Median divides the line into two equal parts
When ordering the Kids' Lunch at Burger Universe, the customer must choose a size, a type of bun, a side order, and a type of fruit drink. Here are the possibilities for each choice. Choice Possibilities Size: junior, Small, Medium, Large Type of bun Plain bun, Sesame seed bun Side order Fries, Onion rings Fruit drink Orange, Grape, Cherry, Lemonade How many Kids' Lunches are possible?
Answers
The number of Kid's Launches that are possible is 128. This is solved using Combination Principle.
What is combination in Math?A combination in mathematics is a selection of elements from a set with distinct members, where the order of selection is irrelevant.
Hence,
The number of possible "Sizes" from the specified 4 sizes are ⁴C₁
The number of sorts of bun that is possible from the specified two bun types is: ²C₁
From the four sides, the number of possible side purchases is: ⁴C₁
Of the available four drinks, the number of the possible drinks is: ⁴C₁
Now the possible number of all lunches are:
⁴C₁ x ²C₁ x ⁴C₁ x ⁴C₁
= 4 x 2 x 4 x 4
= 128
Hence the number of Kid's Lunches that are possible are 128.
Learn more about combination:
https://brainly.com/question/20211959
#SPJ1
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
The length KL is 8 units
The value of x is undefined
The length KL is 12 units
Calculating the length KLFrom the question, we have the following parameters that can be used in our computation:
The rhombus
Also, we have
DK = 8
A rhombus is a quadrilateral with all sides equal.
So, we have
KL = 8
Calculating the value of xHere, we have
SKAL = 2x - 8
There is no point S on the rhombus
This means that
x = undefined
Calculating the length KLHere, we have
DM = 5y + 2 and DK = 3y + 6
A rhombus is a quadrilateral with all sides equal.
So, we have
5y + 2 = 3y + 6
Evaluate
2y = 4
Divide
y = 2
So, we have
KL = 5 * 2 + 2
KL = 12
Hence, the length KL is 12 units
Read more about rhombus at
https://brainly.com/question/12735921
#SPJ1