Rest side of rectangle
√8²-5²√64-25√396.2Now
Area of whole rectangle
LB5(6.2)31cm²Area of shaded rectangle
4(3)12cm²Area of unshaded region
31-1219cm²Answer:
See below
Step-by-step explanation:
Please do not delete my answer again.....it is correct...or the figure is INcorrect !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
One more time : (assuming right angles at all corners)
the UNlabelled side of the larger rectangle CANNOT BE 5 cm!
it has a diagonal of 8 cm !
use pythagorean theoem
8^2 = 5^2 + s^2 shows s = sqrt (39)
then area of the outside rectangle is 5 sqrt(39) cm^2
( see attached diagram)
Shaded area is 4 x 3 =12 cm^2
UN shaded is 5 sqrt (39) - 12 cm^2 = 19.22 cm^2
helpppppp asappppp plsssss
Answer:
x = -2
Step-by-step explanation:
The segments described in the question are equidistant (meaning they are the same length). Therefore, using algebraic techniques, we can set these two equal to each other and solve for x.
4x - 8 = 6x - 4 Combine like terms by subtracting 6x from both sides.
-2x - 8 = -4 Combine like terms by adding 8 to both sides.
-2x = 4 Divide by -2 on both sides of the equation.
x = -2
15. Are the two triangles similar?
Yes or no? I think yes.
How do you know? I said, "The corresponding angles are congruent."
16. Are the two triangles similar?
Yes or no?
How do you know?
17. Are the two triangles similar?
Yes or no?
How do you know?
18. Are the two triangles similar?
Yes or no? I said yes
How do you know? I said, "The corresponding angles are congruent."
Are my answers to 15 and 18 correct? what are the answers to the others? Thank you
Answer:
18 is correct. I cannot read 16. The sum of the interior angles must be 180.
16) The triangles are similar because the corresponding sides are proportional \(\frac{16}{8}\) = \(\frac{12}{6}\) = \(\frac{10}{5}\)
17) The triangles are not similar because the corresponding sides are not proportional \(\frac{20}{5}\)≠ \(\frac{18}{4}\) ≠ \(\frac{16}{3}\)
Step-by-step explanation:
How much more would the value of y be on the graph than its value
in the table when x = 12? (1 point)
Answer:
180
Step-by-step explanation:
From the table :
Slope :
m = (y2 - y1) / (x2 - x1)
m = (100 - 80) / (5 - 4)
m = 20 / 1
m = 20
y = 20x
Hence, when, x = 12
y = 20 * 12
y = 240
From the graph:
Slope :
m = (y2 - y1) / (x2 - x1)
m = (280 - 70) / (8 - 2)
m = 210 / 6
m = 35
y = 35x
When x = 12
Graph :
y = 35 * 12
y = 420
Difference :
420 - 240
= 180
PLEASE FAST
What is the equation of the line containing the paints A and B?
a) y = - 3x + 4
b) y = 1/3x + 4
c) y = 3x + 4
d) y = - 1/3x + 4
The equation of the line containing the paints A and B is y = -1/3x + 4
How to determine the linear equation that represents the graphfrom the question, we have the following parameters that can be used in our computation:
The graph
Where, we have
(6, 2) and (0, 4)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
y = mx + 4
Using the other points, we have
6m + 4 = 2
So, we have
6m = -2
Evaluate
m = -1/3
So, we have
y = -1/3x + 4
As an equation, we have
y = -1/3x + 4
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Solutions to quadratic equation 4x^2+5x+1=0
Luis dibujó las cuadra se de subió colonia como un plano cartesiano Y se da cuenta que la escuela estaría ubicada en las coordenadas (3,1),Mientras que su casa en las coordenadas (-1,K) si la distancia entre la escuela es igual a la raíz cuadrada de 20 km ¿calcula cual es el valor de la cornada k de su casa
The k-coordinate of his house is given as follows:
k = -1.
How to calculate the distance between two points?Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).
The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex
For this problem, we have that:
The points are (3, 1) and (-1, k).The distance is the square root of 20.Hence the value of k is obtained as follows:
\(\sqrt{(3 - (-1))^2 + (1 - k)^2} = \sqrt{20}\)
Hence:
(1 - k)² = 4
1 - k = 2
k = -1.
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Digital watches of a certain brand are advertised to have an average lifetime of 800 days. A customer is willing to purchase a watch unless it can be demonstrated that the average lifetime is shorter than what is advertised. A random sample of 50 watches is obtained from the manufacturer and the lifetime of each watch is recorded. In particular, one obtains the sample mean
X
ˉ
=738.44
days and sample variance
S 2
=1459.24
days squared from this sample of digital watches. 1. Explain why the test statistic
ζ= S/ 50
X
ˉ
−μ
has a normal distribution despite the experimenter being unaware of the distribution of the population of digital watches. 2. Devise an appropriate hypothesis test to determine whether the given customer is willing to purchase a digital watch. 3. Conduct the hypothesis test of 2 . at a significance level of
α=0.05
(1) The sample size (n)>30 and population standard deviation (σ) is unknown then we use one sample t-test we get.
(2) There is sufficient evidence to conclude that, the customer is willing to purchase a watch unless it can be demonstrated that the average lifetime is shorter than what is advertised.
Test the hypothesis that the client is prepared to buy a watch unless it can be shown that the average lifespan is shorter than what is claimed using a significance level of α=0.05.
Given that,
Sample size (n)=50
Sample mean (x−)=738.44
Sample standard deviation (S)=38.2 where (S)2=1,459.24
The null and alternative hypothesis are,
H(0): μ≥800
vs
H(1): μ<800
(1) In the given question we have to explain why the test statistic has a normal distribution despite the experimenter being unaware of the distribution of the population of digital watches.
The sample size (n)>30 and population standard deviation (σ) is unknown then we use one sample t-test we get.
(2) In the given question we have to devise an appropriate hypothesis test to determine whether the given customer is willing to purchase a digital watch.
Then test statistic becomes,
t = x−μ/(s/√n)
t = 738.44−800/(38.2/√50)
t = −61.56/5.40229
t = −11.40
Here the test is one tailed (left tailed) at α=0.05
Then degrees of freedom=(n-1)=(50−1)=49
Thus P-value becomes,
P-value = <0.00001
The P-value is less than or equal to α=0.05
Then we reject the null hypothesis H(0).
We use excel command to find the P-value we get,
=T.DIST( x, deg _freedom, TRUE)
=T.DIST(-11.40 , 49,TRUE)
=<0.00001
There is sufficient evidence to conclude that, the customer is willing to purchase a watch unless it can be demonstrated that the average lifetime is shorter than what is advertised.
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The right question is given below:
I need help pls this is to confusing
Answer: the value of a is less than b because its to the left
Step-by-step explanation:
formula of square root of 144 by factorisation
\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)
Find square root of 144 by factorisation method.\( \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}\)
We can find the square root of 144 using the factorisation method. In this method, you need to factorise 144 first. Then, you'll get your answer in the form of prime factors. In this case, it's ⇨ 2 × 2 × 2 × 2 × 3 × 3.
__________________
To find the square root using factorisation, we need to group the same number in pairs. That is, 2 × 2 × 2 × 2 × 3 × 3 by grouping same numbers in pairs will become ⇨ (2, 2), (2, 2), (3, 3).
__________________
Now, you should take only 1 of the number from these groups. So, (2, 2), (2, 2), (3, 3) will change to ⇨ 2 × 2 × 3.
__________________
Finally, just multiply this set of numbers to find the square root of 144. 2 × 2 × 3 = 4 × 3 = \(\large\boxed{\underline{\bf \: 12}}\) ⇨ square root of 144.
__________________
The square root of 144 is 12.Which of the following ordered pairs is a solution to y=2^x
Choose True or False for each statement.
Column A
1.
If the distance from 0 to x on a number line is equal to 2, then -2 + X = 0.:
If the distance from 0 to x on a number line is equal to 2, then -2 + X = 0.
2.
If the distance from 0 to x on a number line is less than 2, then -2 + X = is negative.:
If the distance from 0 to x on a number line is less than 2, then -2 + X = is negative.
3.
If the distance from 0 to x on a number line is greater than 2, the -2 + X is positive.:
If the distance from 0 to x on a number line is greater than 2, the -2 + X is positive.
4.
If the distance from 0 to x on a number line is greater than 0, then -2 + X is positive.:
If the distance from 0 to x on a number line is greater than 0, then -2 + X is positive.
Provide the correct justifications for each statement in the derivation of the tangent difference identity.
1.
identity
2. Trigonometric
identities
3. Divide numerator and denominator by
4. Factor out common factors using the quotient identity.
Answer:
1: Quotient
2: Difference
3: cos(x)cos(y)
Step-by-step explanation:
I just did it on Edge :)
Answer:
Step-by-step explanation:
it's right here lol
1st person to answer you get brainest
i need help with this
Answer:
12.5%
Step-by-step explanation:
Rollaway Skates
Number
of People
0
1
2
3
4
5
6
7
8
Cost
$0
$5
$10
$15
$20
$25
$30
$35
$40
Wheelie's Skates
and Stuff
Number
of People
0
1
2
3
4
5
6
7
8
Cost
$100
$103
$106
$109
$112
$115
$118
$121
$124
Describe when Rollaway Skates is cheaper and when Wheelie's is cheaper.
Rollaway Skates is cheaper when the number of people is less than or equal to 4. For example, the cost for 2 people at Rollaway Skates is $10, while the cost for 2 people at Wheelie's Skates and Stuff is $106.
Wheelie's Skates and Stuff is cheaper when the number of people is greater than or equal to 5. For example, the cost for 6 people at Rollaway Skates is $30, while the cost for 6 people at Wheelie's Skates and Stuff is $118.
I hope this helps! Do you have any other questions?
Consider the polynomial
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
Combine all like terms and enter the coefficients for each term into the blanks below
The required coefficients are:4, -1, -11, and 7.
Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.
In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.
In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.
We need to consider the polynomial:
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:
4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn
Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2
Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn
Taking the coefficients of the constant terms6 + 2 - 1 = 7
Therefore, the required coefficients are:4, -1, -11, and 7.
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What is the vertex of the graph of g(x)=|x-8|+6
The vertex of the function g(x) = |x - 8| + 6 is (8, 6)
How to determine the vertex of the function?From the question, we have the following parameters that can be used in our computation:
g(x) = |x - 8| + 6
The above equation is an absolute value function
An absolute value function represented as
y = a|x - h| + k
Where
Vertex = (h, k)
This means that the vertex is
Vertex = (8, 6)
Remove the x value
y = 6
Because the leading coefficient is positive, then the vertex is a minimum
i.e.
y ≥ 6
So, the range is y ≥ 6
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In 1999. Sara and her brother Xzavier got money when their rich uncle died. They
each got the same amount of money. Sara bought some land in the country
because she heard they would be building houses near there some day. She
bought 300 acres of land with all of the money she got from her uncle,
$600,000, in 2000. In 2003 they extended the main highway to go near her land
and she sold 100 acres for $2700 lacre. In 2005 she sold half of the land she had
left for $3600 lacre. In 2007 they started a long-term project to build houses in
the area and built a Lowes, a Food Lion, A Bank of America and a Burger King on
the main street. Finally, in 2010. Sara sold the rest of her land for $400,000. What
was her total profit when she finished selling all of the land?
Answer:
$406,300
Step-by-step explanation:
$2,700 + $3,600 = $6,300
$400,000 + $6,300 = $406,300
Which ordered pair is a solution to this equation?
2x + y = 10
A) 3,1
B) 2,1
C) 12,2
D) 4,1
Amanda, Bryan, and Carl are about to compete in 100
mixed IM swimming events. These are the only three
swimmers competing in this event. They are all working
hard to win first place.
How many different possible ways could the 3 swimmers
place?
2
9514 1404 393
Answer:
6
Step-by-step explanation:
Any of the three can be in first place.
Any of the remaining two can be in 2nd place.
The remaining swimmer will be in 3rd place.
There are 3 × 2 × 1 = 6 possible orderings of the swimmers.
Find the Fourth vertex
The vertex of the parallelogram is (5, 13)
We know that in a parallelogram the opposite sides are equal
AB=√(-3-4)²+(-6+3)²
=√49+9
=√58 units
BC=√(6-4)²+(2+3)²
=√4+25
=√29 units
AD=√(-3-x)²+(-6-y)²
AD=√58 units
√58 units=√(-3-x)²+(-6-y)²
58 units=(-3-x)²+(-6-y)²
Now CD=√(6-x)²+(2-y)²
29 units=(6-x)²+(2-y)²
x=5 and y=13 satisfies the equation
Hence, the vertex of the parallelogram is (5, 13)
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Question 16 of 22 -
MYA-Math-Alg1-CBT-2020-2021: Section 1
Question: 1-16
In the city of Carmen, there is a drawbridge that is opened twice per hour over the summer. The graph below shows the number of feet that the top of the bridge w
minutes that the drawbridge was open.
40
30
Feet Above Water
20
10
+
1
2
3
4
Minutes
The city's engineer noticed that the bridge is not opening and closing at the same rate and wanted to determine the rate of change over these intervals. Complete th
drawbridge (in feet per minute) at each of the specified intervals.
-25 -12.5-5 -2.50 2.5 5 12.5 25
Answer:
25, 0, -12.5
Step-by-step explanation:
See attached
Rate of change is:
Interval 0 - 1 min
(40-15)/(1-0) = 25/1 = 25Interval 1 - 2 min
(40 - 40)/(2-1) = 0/1 = 0Interval 2- 5 min
(15 - 40)/(4-2) = -25/2 = -12.511 times the sum of 8 and 14, divided by 5
Answer:
See below, please!
Step-by-step explanation:
\(\frac{11(8+14)}{5}\). Use PEMDAS. Sum of 8 and 14 is 22, multiply that by 11, and then divide by 5. Your answer is 48.4.
Hope this helped!
Madelyn wants to buy a charm bracelet. Oxford Fine Jewelry charges $12 per charm, plus $40 for the bracelet. Espinoza Jewelers, in contrast, charges $14 per charm and $30 for the bracelet. If Madelyn wants to add a certain number of charms to her bracelet, the cost will be the same at either jewelry shop. How many charms would that be?
Using a system of equations, for Madelyn to add a certain number of charms to her bracelet, where the cost will be the same at either jewelry shop, the number of chams would be 5.
What is a system of equations?When two or more equations are solved concurrently, they are described as a system of equations.
Another description of a system of equations is simultaneous equations.
Oxford Fine Espinoza
Unit cost per charm $12 $14
The cost of the bracelet $40 $30
Let the number of charms = c
Equations:Equation 1: (Costs at Oxford Fine) 12c + 40
Equation 2: (Costs at Espinoza) 14c + 30
For the cost to be the same at either jewelry shop, Equation 1 must equal Equation 2:
12c + 40 = 14c + 30
-2c = -10
c = 5
Check:
12c + 40
12(5) + 40 = $100
14c + 30
14(5) + 30 = $100
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A trawler A is 40km west of another trawler B. A set off at 20kmh travel at 25kmh. What course should trawler B take to intercept trawler A
Trawler B should take a course that is 18 degrees east of north.
How to explain the angleIn order to intercept Trawler A, Trawler B must travel in a direction that will bring it closer to Trawler A. Since Trawler A is traveling due west, Trawler B must travel in a direction that is east of north. The angle that is 18 degrees east of north will bring Trawler B closest to Trawler A.
Here are the steps to find the course that Trawler B should take:
Draw a diagram of the situation.
Label the two trawlers A and B.
Draw a line representing the direction that Trawler A is traveling.
Draw a line representing the direction that Trawler B should travel.
Measure the angle between the two lines.
The angle between the two lines will be 18 degrees. Therefore, Trawler B should take a course that is 18 degrees east of north.
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Helppppp !!!
For each relation, decide whether or not it is a function.
1. Relation 1 is a function
2. Relation 2 is a function
3. Relation 3 is not a function
4. Relation 4 is a function
How to determine if each relation is a functionFrom the question, we have the following parameters that can be used in our computation:
The relations (1) to (4)
Relation (1)
This relation is a function
This is because each range value point to unique domain values
Relation (2)
This relation is a function
This is because each range value point to unique domain values
Relation (3)
This relation is not a function
This is because domain values w have different range values.
Relation (4)
This relation is a function
This is because each range value point to unique domain values
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i need help w/ this!! thank you
\(\boxed{\pink{\sf \leadsto Yes \ there \ is \ a \ solution \ of \ the \ given \ inequality .}}\)
Step-by-step explanation:A inequality is given to us and we need to convert it into standard form and see whether if it has a solution . So let's solve the inequality.
The inequality given to us is :-
\(\bf\implies |2y + 3 | - 1 \leq 0 \\\\\bf\implies |2y+3|\leq 1 \\\\\bf\implies (|2y+3|)^2 \leq 1^2 \\\\\bf\implies (2y+3)^2 \leq 1 \\\\\bf\implies (2y)^2+3^2+2(2y)(3) \leq 1 \\\\\bf\implies 4y^2+9+12y - 1 \leq 0 \\\\\bf\implies 4y^2+12y+8 \leq 0 \\\\\bf\implies 4( y^2 + 3y + 2 ) \leq 0 \\\\\bf\implies y^2+3y +2 \leq 0 \:\:\bigg\lgroup \purple{\bf Standard \ form \ of \ inequality }\bigg\rgroup \\\\\bf\implies y^2y+2y+y+2 \leq 0 \\\\\bf\implies y(y+2)+1(y+2)\leq 0 \\\\\bf\implies ( y+2)(y+1)\leq 0 \\\\\bf\implies \boxed{\red{\bf y \leq (-2) , (-1) }}\)
Let's plot a graph to see its interval . Graph attached in attachment .
Now we can see that the Interval notation of would be ,
\(\boxed{\boxed{\orange \tt \purple{\leadsto}y \in [-2,-1] }}\)
Hence the standard form of inequality is y²+3y +2 ≤ 0 and the Solution set of the inequality is [ -2 , -1 ] .Arianna has $50 in a savings account that earns 5% annually the interest is not compounded how much will she have in a total 4 years
After four years, Arianna will have a total of $60 in her savings account.
What is Compound Interest ?
Compound interest is interest that is calculated not only on the initial principal amount, but also on the accumulated interest of previous periods. In other words, the interest earned is added to the principal amount and then the interest for the next period is calculated based on the new total amount, which includes both the principal and the previously earned interest.
For example, if you deposit $1,000 in a savings account with a 5% annual interest rate, and the interest is compounded annually, at the end of the first year, you would earn $50 in interest, and your balance would be $1,050. If you leave the money in the account and don't make any further deposits or withdrawals, in the second year, you would earn interest not only on the original $1,000, but also on the $50 in interest earned in the first year, which would be a total of $52.50 in interest. Your new balance at the end of the second year would be $1,102.50.
The power of compound interest lies in the fact that the interest earned in each period is added to the principal, so the amount of interest earned in each subsequent period increases, resulting in a larger and larger balance over time.
Since the interest is not compounded, the interest earned each year will be the same, and it can be calculated as:
Interest earned each year = Principal * Annual interest rate
So for Arianna, the interest earned each year will be:
Interest earned each year = $50 * 0.05 = $2.50
After one year, Arianna will have $50 + $2.50 = $52.50
After two years, she will have $52.50 + $2.50 = $55
After three years, she will have $55 + $2.50 = $57.50
After four years, she will have $57.50 + $2.50 = $60
Therefore, after four years, Arianna will have a total of $60 in her savings account.
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A total of 484 tickets we’re sold for the school play. They Either adult or student tickets. There were 66 Fewer student tickets sold than adult tickets . How many adult tickets were sold?
Answer:
x + 61 = 411
Step-by-step explanation:
Let x = the number of adult tickets sold
Let x + 61 = the number of student tickets sold
x + x + 61 = 761
2x = 700
x = 350
Find The Value Of X. 2x+17+8=x+19
Answer:
x = -6
Step-by-step explanation:
Solve for x
by simplifying both sides of the equation, then isolating the variable.
Answer: x = -6
Step-by-step explanation: Make sure you simplify the left
side of the equation completely before moving on.
The 2x + 27 + 8 on the left side of the equation simplifies to 2x + 25.
So we have 2x + 25 = x + 19 and now we can subtract x from both
sides to get x + 25 = 19 and subtract 25 from both sides to get x = -6.