Answer:
B
Step-by-step explanation:
Let's call the shortest side a. The longest base, b, is 8cm longer than a. The height, h, is 2cm longer than a.
b = a + 8
h = a + 2
A = (a + b)h/2
48 = (a + (a+8))(a+2)/2
= (2a+8)(a+2)/2
= (2a^2+12a+16)/2
48 = a^2+6a+8
a^2+6a-40=0
Now, we factor this:
(a + 4)(a - 10)=0
a = -4, 10
a (length) cannot be a negative no. so the only possible answer is a = 10.
b = 10 + 8 = 18
h = 10 + 2 = 12
The answer is B
Hope this helps!
If the radius is 21 cm and the angle at
center of circle is 140° then the length of
the arc is ?
Step-by-step explanation:
Given: Radius , r =21 cm
The angle at the center of the circle, n° =140°
Length of an arc =?
W.K.T Formula, Length of an arc = 2πr( n°÷360°) units
= 2*(22/7)*21*(140°/360°)
= 154/3
= 51.33cm
Answer:
2*(22/7)*21*(140°/360°)
= 154/3
= 51.33cm
Step-by-step explanation:
Last year 950 people attended a town's annual parade. This year 1,520 people attended. What was the percent increase in attendance from last year to this year?
Answer: 60% increase
Step-by-step explanation: look up calculator soup if you have more questions like this
In the diagram, line p(perpendicular) line r. Which must be true?
Manuel ate lunch in 5 minutes. How many seconds is this?
Answer:
300 seconds
Step-by-step explanation:
1 minute= 60 seconds
5 x 60 = 300
Answer:
1 minute is 60 seconds, so 60 x 5 is 300. So your answer is 300 seconds
What is the unit cost of the olives at Mangio's
Answer:
$6
Step-by-step explanation:
18/3=6
24/4=6
30/5=6
36/6=6
The null hypothesis for an ANOVA is that all treatments/samples come from populations with the same mean. The alternative hypothesis is best stated as:____________
Answer:
At least one of the population means is different from the others.
Step-by-step explanation:
ANOVA is a short term or an acronym for analysis of variance which was developed by the notable statistician Ronald Fisher. The analysis of variance (ANOVA) is typically a collection of statistical models with their respective estimation procedures used for the analysis of the difference between the group of means found in a sample. Simply stated, ANOVA helps to ensure we have a balanced data by splitting the observed variability of a data set into random and systematic factors.
In Statistics, the random factors doesn't have any significant impact on the data set but the systematic factors does have an influence.
Basically, the analysis of variance (ANOVA) procedure is typically used as a statistical tool to determine whether or not the mean of two or more populations are equal through the use of null hypothesis or a F-test.
Hence, the null hypothesis for an ANOVA is that all treatments or samples come from populations with the same mean. The alternative hypothesis is best stated as at least one of the population means is different from the others.
A chain letter starts when a person sends a letter to five others. Each person who receives the letter either sends it to five other people who have never received it or does not send it to anyone. Suppose that 10,000 people send out the letter before the chain ends and that no one receives more than one letter. How many people receive the letter, and how many do not send it out?
Answer:
50,001 people sent out the letter.
40,001 did not send it out
also can i get brainliest???
Step-by-step explanation:
780 people receive the letter before the chain ends.
9,220 people do not send out the letter.
We have,
In the given scenario, the chain letter starts with one person sending it to five others.
Each recipient of the letter has the option to either send it to five new recipients or not send it to anyone.
Let's analyze the chain letter progression:
The first person sends the letter to 5 recipients.
Each of those 5 recipients has the choice to send the letter to 5 new recipients or not send it.
If each of the 5 recipients sends the letter to 5 new recipients, we have a total of 5 x 5 = 25 new recipients.\
If any of the 5 recipients choose not to send the letter, they are out of the chain.
Now, we have 25 recipients who received the letter and have the same choice: send it to 5 new recipients or not send it.
If each of the 25 recipients sends the letter to 5 new recipients, we have a total of 25 * 5 = 125 new recipients.
If any of the 25 recipients choose not to send the letter, they are out of the chain.
This process continues until the chain ends.
To determine how many people receive the letter and how many do not send it out, we can observe the pattern:
After the first step, there are 5 recipients.
After the second step, there are 5 + (5 * 5) = 30 recipients.
After the third step, there are 5 + (5 * 5) + (5 * 5 * 5) = 155 recipients.
After the fourth step, there are 5 + (5 * 5) + (5 * 5 * 5) + (5 * 5 * 5 * 5) = 780 recipients.
We can see that the number of recipients follows a geometric progression with a common ratio of 5.
The formula for the sum of a geometric progression is:
[tex]Sum = a (r^n - 1) / (r - 1)[/tex]
Where:
a = initial term = 5
r = common ratio = 5
n = number of steps
We are given that the chain ends after 10,000 people send out the letter. Let's calculate the number of recipients:
[tex]Sum = 5 (5^4 - 1) / (5 - 1)[/tex]
= 5 (625 - 1) / 4
= 5 624 / 4
= 780
Therefore, 780 people receive the letter before the chain ends.
To find the number of people who do not send it out, we subtract the number of recipients from the total number of people who sent out the letter:
Number of people who do not send it out = Total number of people - Number of recipients
= 10,000 - 780
= 9,220
Therefore, 9,220 people do not send out the letter.
Thus,
780 people receive the letter before the chain ends.
9,220 people do not send out the letter.
Learn more about geometric sequence here:
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Debra needs to make a total of 40 deliveries this week. So far she has completed 6 of them. What percentage of her total
deliveries has Debra completed?
Find the volume and solve the application.
A mason's assistant's rate of pay is $0.95 per cubic foot of earth moved. He digs a trench 1.5 ft. wide by 1 ft. deep by 150 ft. in length. What is his pay for this job?
1.5ft * 1ft * 150ft = 225ft^3
225 * $0.95 = $213.75 pay for the job
The surface area of a three-dimensional object is the sum of the area of the faces. If represents the length of the side of a cube, write a formula for the surface area S of the cube.
Answer:
S = 6e²
I don't know what variable you're using here.
Step-by-step explanation:
There are 6 faces on a cube and they are all the same. Because of this, 6 is the coefficient in this equation.
A square's area can be found by squaring the side length (Which I'll represent with e). So e² is the variable.
Thus, the equation is S = 6e²
Find -8 1/4 divided (-2 5/12) write your answer as a mixed number in simplest form
Answer:
I believe the answer is 3 12/29
Evaluate the following expression using the values given:
Find 5x − 3y − z if x = −2, y = 2, and z = −3
Answer: -13
Step-by-step explanation:
just substitute the letters for the numbers.
5(-2) - 3(2) -(-3)
then, remove the parenthesis.
-10 - 6 + 3
finally, just calculate it.
-13
Which of the following statements is true about the graphs of a linear function (x) = mx + b and that of an exponential function g(x) = a*, where a > 0 and a = 1?
Answer:
the answer a is the correct answer
A bank deposit paying simple interest at the rate of 8%/year grew to a sum of $1300 in 6 months. Find the principal. (Round your answer to the nearest cent.)
Answer:
$1,250
Step-by-step explanation:
The rate is 8%
= 8/100
= 0.08
Time is 6 months
= 1/2 year
Therefore the principal can be calculated as follows
Principal × (1+0.08(1/2) = 1300
Principal × 1+ 0.04 = 1300
Principal × 1.04= 1300
Principal= 1300/1.04
Principal = $1,250
Hence the principal is $1,250
Help plz the problem is in the photo
Answer:
25 = 50%
37.50 = 75%
75 = 150%
Step-by-step explanation:
We know that 50 is 100% so we can work with that.
We also know the percentages increase by 25% for every $12.5.
12.50 + 12.50 = 25
25 + 12.50 = 37.50
62.50 + 12.50 = 75
25 = 50%
37.50 = 75%
75 = 150%
I hope this helps and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Juan pago $50.00 pesos por 3 cajas de paquetes y 5 cajas de clavos, mientras que Pedro compró 5 cajas de taquetes y 7 cajas de clavos y tuvo que pagar $ 74.00 pesos . ¿ Cual es el precio de cada caja de taquetes y clavos ?
a) ¿ Cuantas incógnitas hay en el problema ?
b) ¿ Cuántas ecuaciones puedes construir según el texto?
c) ¿ Cuales son esas ecuaciones?
Polly buys 14 cupcakes for the party. the bakery puts them into boxes that hold 4 cupcakes each.
how many boxes will be needed for Polly to bring all the cupcakes to the party? Explain
Answer:
11 boxes
Step-by-step explanation:
14 didived by 4 is 10.25 so if you round you should get 11 .
Answer:
4, If you round.
Step-by-step explanation:
If you divide the 14 by 4, you get 3.5 and you can't really break the box in half.
So, you would have to use 5.
59:41 To build the roof for a paper house, a rectangular paper is cut to form a trapezoid. Which diagram shows the correct cuts? Save and Exit Mark this and return Nes Submn K
Answer:
Step-by-step explanation:
wheres the diagram?
Answer:B
Step-by-step explanation:
small bottle of Gatorade holds 75% as much as the large bottle of Gatorade. If the small bottle holds 36 units, how many units does the large bottle hold?
Answer:
48 unit
Step-by-step explanation:
36=x75%
x=36/75% = 48
double check just in case :)
Name the corresponding an
Answer:
what do you want to say?
Monica can clean the house in 5 hours by herself. When Monica and Sydney
work together, it takes 3 hours. How long would it take Sydney to clean the
house by herself?
A. 5.5 hours
B. 7.5 hours C. C: 2.0 hours
D. 4.7 hours
Answer:
The answer is B 7.5 hours.
Step-by-step explanation:
A. P. E. X
Sydney can clean her house in 7.5 hours.
What is Efficiency?Efficiency is often measured as the ratio of useful output to total input, which can be expressed with the mathematical formula r=P/C, where P is the amount of useful output ("product") produced per the amount C ("cost") of resources consumed.
Here, Monica can clean her house in 5 hours
Monica's efficiency = 1/5
Let, Sydney cleans the house in x hours.
Sydney's efficiency = 1/x
They both together complete their work in 3 hours
Combined efficiency = 1/3
Now, according to question;
1/5 + 1/x = 1/3
(x+5)/5x = 1/3
3x + 15 = 5x
5x - 3x = 15
2x = 15
x = 15/2
x = 7.5
Thus, Sydney can clean her house in 7.5 hours.
Learn more about Efficiency from:
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WILL MARK BRAINLIEST
what type of transformation is described by (x,y) —> (x+2, y+16)?
This transformation takes a vector (x,y) and maps it to the vector (x+2, y+16). In other words, it moves the X coordinate of the vector 2 units to the right, and the Y coordinate of the vector is moved 16 units upwards.
If you would take a set of points and apply this transformation, you would see the entire set moving upwards and to the right, with no stretching ou rotating. This type of transformation is called a translation transformation.
3,3 x,y 6,9 what is x,y 
answer:
answer:
answer:
Ben earns an annual income of $12,800 a year. The income tax he has to pay is 15%. What is the amount of income tax in dollars and cents that Ben has to pay? A $1,664 B $10,880 C 12,000 D $1,920
Answer:
$
1
,
920
Explanation:
Find
15
%
×
12800
15
100
×
12800
1
=
$
1
,
920
Step-by-step explanation:
Answer:
D $1,920
Step-by-step explanation:
$12,800 annual income he has to pay 15%
EASYYYYYYYYYYYYYYYYYYYY'
just get
12,800 DIVIDE BY 100
12,800/100
128=1 percent
now multiply by 15
128*15=
1920
5.00 minus2.40minus1.33= plz show me how you got that answer step by step
Answer:
5.00 -2.40= 2.60
2.60-1.33= 1.27
The answer is 1.27
Step-by-step explanation:
Please help me answer this:)
I will give you braisnlt
Answer:
B, E, F
Step-by-step explanation:
they are linear because there are no fractions or exponents
Answer:
B, E, F
Step-by-step explanation:
For a linear function, you can have x multiplied by a number, but you cannot have x multiplied by a variable. Also you can't have x in denominator or an exponent on x other than 1.
For a linear equation, y must equal a first degree polynomial or a constant.
Answer: B, E, F
15 points theres an image to help you guys out too i need it ASAP though.. please
Answer:
16
Step-by-step explanation:
8-1+9
7+9=16
the answer is=16
Answer:
16
Step-by-step explanation:
(8-1) = 7 + 9
= 16
D ......
_9) What are the solutions of the equation (x – 3)2 + 2(x – 3) - 8 = 0?
A) x = -5 and x = 1
B) x = -1 and x = 5
C) x = -1 and x = -7
D) x = 1 and x = 7
Help please
Answer:
Step-by-step explanation:
Two numbers r and s sum up to \frac{1}{2} exactly when the average of the two numbers is \frac{1}{2}*\frac{1}{2} = \frac{1}{4}. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C.
Please Help Friends !!!
Answer:
A=4 B=1 C=2 D=5 E=3
Step-by-step explanation:
solve (x – 3)2 = 81 quadratic equation
Answer:
x = 43.5 or x = 87/2
Step-by-step explanation:
(x - 3)2 = 81
2x - 6 = 81
2x = 87
x = 43.5