Answers
Answer:
Step-by-step explanation:
From the given diagram we notice that
1. Line AB is equal to Line DE.
2. Line AC is equal to line DF.
3. Angle A is equal to angle D
Then, it shows that 2 sides of the triangle are similar and 1 of it's angle is also similar. Then, it is SAS
Where, S- represent sides and A- represents angle
NOTE : we have SSS, ASA, AAS and SAS, we don't have SSA
To write the similar triangle equation
∆ABC ≈ ∆DEF
Since AB is equal to DE, the we replace It with DE and also Angle A is equal to angle D. Also AC is equal to DF, then we replace C with F.
So the answer is C
∆ABC ≈ ∆DEF SAS
Related Questions
Is the discriminant of f positive, zero, or negative?
Answers
Answer:
Negative
Step-by-step explanation:
the function f(x) = -3cos(3x+ x/4 ) has amplitude of what
Answers
Answer:
amplitude = 3
Step-by-step explanation:
The standard form of a cosine function is
f(x) = a cos(bx + c) + d
amplitude = | a |, period = [tex]\frac{2\pi }{b}[/tex]
phase shift = - [tex]\frac{c}{b}[/tex], d is the vertical shift
Given the above function, then
amplitude = | - 3 | = 3
Matt wants to investigate the opinions of young adults in the country, ages 18 years to 25 years, about time spent playing video games. He plans to administer a survey to a sample of people. Which of the following samples is most likely to generalize to his population of interest?
Answers
A nationwide sample of people ages 18 to 25. This option provides a broader representation of the population, ensuring a more comprehensive understanding of young adults' opinions on video games. The correct choice of option is A.
Option A provides a broader representation of the population as it includes individuals from across the country, capturing a diverse range of demographics, backgrounds, and gaming habits. This sample is more likely to reflect the general attitudes and behaviors towards video games among young adults in the country.
Options B, C, and D are less likely to generalize to Matt's population of interest as they target specific subsets of individuals who may have a higher propensity for gaming or different gaming preferences, potentially biasing the survey results.
Option E, while focusing on the correct age range, is limited to Matt's hometown and may not represent the broader population's opinions and behaviors towards video games.
Therefore, option A, a nationwide sample of people ages 18 to 25, is the most likely to generalize to Matt's population of interest.
Question:-
Matt wants to investigate the opinions of young adults in the country, ages 18 years to 25 years, about time spent playing video games. He plans to administer a survey to a sample of people. Which of the following samples is most likely to generalize to his population of interest?
A)A nationwide sample of people ages 18 to 25.
B) A sample of attendees of a gaming convention
c) A sample of people who click on a link in an online gaming site
D) A sample of people who buy video games from an online store
E) A sample of people ages 18 to 25 in Matt's hometown
Based on the analysis above, the most likely sample to generalize to Matt's population of interest is: A nationwide sample of people ages 18 to 25
The correct option is (a).
To determine which sample is most likely to generalize to Matt's population of interest (young adults aged 18 to 25), let's analyze each option:
a. A nationwide sample of people ages 18 to 25:
This option covers a broad range of young adults across the entire country, which increases the likelihood of representing Matt's population of interest. However, it may still include individuals who do not play video games, as well as those who play video games excessively. Overall, this sample is more likely to generalize to Matt's population compared to options c, d, and e.
b. A sample of attendees of a gaming convention:
This option would likely include individuals who are particularly interested in gaming, which may not be representative of all young adults aged 18 to 25. Attendees of a gaming convention may have different gaming habits compared to the general population of young adults, making this sample less likely to generalize to Matt's population of interest.
c. A sample of people ages 18 to 25 in Matt’s hometown:
While this sample may be convenient for Matt to access, it is limited to individuals in his hometown and may not be representative of young adults nationwide. Additionally, individuals in Matt's hometown may have different demographics and gaming habits compared to the entire population of young adults aged 18 to 25.
d. A sample of people who click on a link in an online gaming site:
This sample is likely biased towards individuals who are already interested in gaming, as they are visiting an online gaming site. Therefore, it may not represent the entire population of young adults aged 18 to 25, especially those who do not regularly visit gaming sites.
e. A sample of people who buy video games from an online store:
Similar to option d, this sample is biased towards individuals who are interested in video games, as they are purchasing video games from an online store. Therefore, it may not represent the entire population of young adults aged 18 to 25.
Based on the analysis above, the most likely sample to generalize to Matt's population of interest is:
a. A nationwide sample of people ages 18 to 25
complete question given below:
Matt wants to investigate the opinions of young adults in the country, ages 18 years to 25 years, about time spent playing video games. He plans to administer a survey to a sample of people. Which of the following samples is most likely to generalize to his population of interest?
a. A nationwide sample of people ages 18 to 25
b. A sample of attendees of a gaming convention
c. A sample of people ages 18 to 25 in Matt’s hometown
d. A sample of people who click on a link in an online gaming site
e. A sample of people who buy video games from an online store
A yogurt company spends $1850 per day in fixed costs and $0.22 for each unit. Each container of yogurt sells for $1.25. Which function could you use to find the profit realized after selling x units of yogurt?show work
A) f(x) = 1.47x + 1850
B) f(x) = 0.22x + 1850
C) f(x) = 1.03x − 1850
D) f(x) = 1.25x − 1850
Answers
Answer:
C) Profit f(x) of the yogurt company after selling x units is given as :
f(x) = 1.03 x - 1850
Step-by-step explanation:
Here, the fixed cost spend by the company = $1850
Also,cost per yogurt per unit = $0.22
Now, let us assume the total yogurt units sold = x
So, the total cost for m units = x ( cost per unit) = x ($0.22) = 0.22 x
SO, the total COST PRICE of company = Cost of m units + Fixed cost
= $1850 + 0.22 x
Also,selling price of each unit = $1.25
So, the selling price of m units = x ( per unit selling price) = x ($1.25)
= 1.25 x
PROFIT = SELLING PRICE - COST PRICE
or f(x) = 1.25 x - $1850 + 0.22 x
or, f(x) = 1.03 x - 1850
Hence, the profit f(x) of the yogurt company after selling x units is given as : f(x) = 1.03 x - 1850
Use the integer tiles to find the sum of 4 and –5.
Answers
Answer:
-1 is the answer
Step-by-step explanation:
4+(-5)= -1
Find the selling price for each item.
Original price of a radio: $125.60 Discount: 35%
Cost of a microscope: $96.25 Markup: 20% Tax 6%
Answers
Answer:
A ) The selling price of radio is $ 81.64
B ) The selling price of microscope is $ 72.94
Step-by-step explanation:
Given as :
A ) Market price of radio = M.P = $ 125.60
Let The selling price of radio = S.P = $ x
The discount = 35 %
So, Discount % = [tex]\dfrac{M.P - S.P}{M.P}[/tex]
Or, [tex]\frac{35}{100}[/tex] = [tex]\dfrac{125.60 - x}{125.60}[/tex]
Or, [tex]\frac{x}{125.60}[/tex] = 1 - [tex]\frac{35}{100}[/tex]
Or, [tex]\frac{x}{125.60}[/tex] = [tex]\frac{100-35}{100}[/tex]
Or, [tex]\frac{x}{125.60}[/tex] = [tex]\frac{65}{100}[/tex]
∴ x = [tex]\frac{125.60\times 65}{100}[/tex]
I.e x = $ 81.64
So, The selling price of radio is $ 81.64
B ) The market price of microscope = M.P = $ 96.25
The discount = 20 %
Tax percentage = 6 %
Let the selling price of microscope = $ y
Now, So, Discount % = [tex]\dfrac{M.P - S.P}{M.P}[/tex]
Or, [tex]\frac{20}{100}[/tex] = [tex]\dfrac{96.25 - y}{96.25}[/tex]
Or, [tex]\frac{y}{96.25}[/tex] = 1 - [tex]\frac{20}{100}[/tex]
Or, [tex]\frac{y}{96.25}[/tex] = [tex]\frac{100-20}{100}[/tex]
Or, [tex]\frac{y}{96.25}[/tex] = [tex]\frac{80}{100}[/tex]
∴ y = [tex]\frac{96.25\times 80}{100}[/tex]
I,e y = $ 77
Again Tax of 6% is added
So , $ 77 - 6 % of $ 77
Or, $ 77 × 0.94 = $ 72.38
∴ The final cost of microscope after discount and tax is $ 72.94
Hence A ) The selling price of radio is $ 81.64
And B ) The selling price of microscope is $ 72.94 Answer
Rectangle A has side lengths of 6cm and 3.5 cm
. The side lengths of rectangle B are proportional to the side lengths of rectangle A.
What could be the side lengths of rectangle B?
Answers
If the side lengths of rectangle B are proportional to the side lengths of rectangle A, the possible side lengths of rectangle B, with a ratio of 2, could be 12 cm and 7 cm.
If the side lengths of rectangle B are proportional to the side lengths of rectangle A, it means that the corresponding sides are in the same ratio. The ratio of the side lengths of rectangle B to rectangle A can be expressed as:
Ratio = Side length of B / Side length of A
In this case, you are given the side lengths of rectangle A as 6 cm and 3.5 cm. Let's find the ratio:
Ratio = Side length of B / Side length of A
Now, you can choose any common multiple to scale up the ratio. For example, you could multiply both sides by 2 to get a simpler ratio.
New Ratio = 2 * (Side length of B / Side length of A)
Now apply this ratio to the side lengths of rectangle A to find the corresponding side lengths of rectangle B:
Side length of B = 2 * Side length of A
Side length of B = 2 * 6 cm
Side length of B = 12 cm
Similarly, Side length of B = 2 * 3.5 cm
Side length of B = 7 cm
So, the possible side lengths of rectangle B, if they are proportional to rectangle A with a ratio of 2, could be 12 cm and 7 cm.
The school principal determined that 1/4 of the original students schools desks would need to be replaced this year. 50 teachers would also received new, improved desks. A total of 295 student and teacher desks were purchased. How many original students desks were there before the purchase was made?
Answers
Answer:
The number of original students desk were there before the purchase is 980 .
Step-by-step explanation:
Given as :
The total number of students and teachers new desks to be purchased = 295
The number of teacher's new desk to be purchased = 50
So , The number of student's new desk to be purchased = 295 - 50 = 245
The number of student's new desk to be replaced this year = [tex]\frac{1}{4}[/tex] of the original students desk
Let The number of original students desk were there before the purchase = x
Or, According to question
[tex]\frac{1}{4}[/tex] of x = 245
Or, x = 245 × 4
∴ x = 980
Hence The number of original students desk were there before the purchase is 980 . Answer
Simplify (4-2)^5
A. 4^10
B. 4^3
C. 1/4^3
D. 1/4^10
Answers
Answer:
the answer is 1/4 ^10
Step-by-step explanation:
What is ___- 99=60 Pls answer
Answers
Answer:
159
Step-by-step explanation:
Add 99 and 60 to get 159. Now subtract 99 from that and you will have 60.
a pot of boiling soup cools at 80 degree in 12.5 minutes what is the average rate of temperature loss per minute
Answers
Average rate of temperature loss is 6.4 degrees per minute
Step-by-step explanation:
Given
Temperature =T = 80 degrees
Time = t = 12.5 min
In order to find the temperature decrease in one minute, Total decrease in temperature will be divided by time
[tex]Average\ rate\ of\ temp\ loss = \frac{80}{12.5}\\= 6.4\ degrees\ per\ minute[/tex]
Hence,
Average rate of temperature loss is 6.4 degrees per minute
Keywords: Rate of change, Average
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28 patients for 2 nurses as a unit rate
Answers
To find the unit rate representing how many patients each nurse is responsible for with 28 patients and 2 nurses, you divide 28 by 2, resulting in 14 patients per nurse.
Nurse Unit Rate Calculation:
Identify the total number of patients: 28 patients
Determine the number of nurses: 2 nurses
Calculate the unit rate by dividing the total number of patients by the number of nurses: 28 patients ÷ 2 nurses = 14 patients per nurse
4. Hightop Roofing was $3765 in the "red" (owed creditors this amount) at the end of
June. At the end of December they were $8765 in the "red." Did they make or lose
money between June and December? How much?
Answers
The negative sign shows that they still owed $5000 to the creditors which shows a loss of money between June and December.
Step-by-step explanation:
Amount owed at the end of June = $3765
Amount owed at the end of December = $8765
As Hightop Roofing owed creditors the amount, therefore, we will consider the amount as negative, therefore,
Amount in June = -3765
Amount in December = -8765
To see the difference, we will subtract the amount owed in June from the amount owed in December.
[tex]Difference=(-8765)-(-3765)\\Difference=-8765+3765\\Difference=-5000[/tex]
The negative sign shows that they still owed $5000 to the creditors which shows a loss of money between June and December.
Keywords: difference, loss
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PLEASE HELPS ME WITH MATHS I HAVE TIMER FOR 6mis!! :'(
Subash created the two-way table below. Teams Team A Team B Total Boys 15 18 33 Girls 17 31 Total 32 32 According to the table, how many girls were on team B? 14 15 17 18
Answers
Answer:
Step-by-step explanation:
the answer is 14 i already took the test
The answer is A) 14.
Based on the information provided in the table, the number of girls on team B is 31.
The table shows the breakdown of boys and girls on two teams, Team A and Team B, along with the total for each category and the overall total.
Looking at the "Girls" row, we see that a total of 31 girls are represented in the data.
Since the table specifies that this is a "two-way table," implying no other teams or categories beyond Team A and Team B, we can conclude that all 31 girls must be distributed between these two teams.
The "Girls" column further shows that Team A has 17 girls.
Therefore, the remaining 31 girls - 17 girls (Team A) = 14 girls must be on Team B.
Question:
Subash created the two-way table below. Team A and Team B. Total Boys are 33 and distributed in both the teams, where A has 15 and B has 18 boys. Total Girls are 31, where team A includes 17 girls. Both the teams have total 32 members. According to the table, how much girls were on team B?
A) 14
B) 15
C) 17
D) 18
Write an equation that has a slope of 2 and passes through the points (10,17)
Answers
Answer:
y = 2x-3
Step-by-step explanation:
y-17=2(x-10)
distribute 2 ---> y-17= 2x-20
add 17 to both sides ---> y=2x-3
The equation of the given line will be [tex]y =2x - 3[/tex]
Given that:The line has got slope = 2The given line passes through point P(10, 17)To find: Equation of that given line.Formation of equation:If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as: [tex]y = mx+c[/tex]
Since given line has slope = 2, thus its equation will be: [tex]y = 2x + c[/tex]
The other data about the straight line will help us find the value of c.
Since the line passes through (10,17) coordinate, thus this must satisfy the equation. Putting x = 10, and y = 17 will give us:
[tex]y = 2x + c\\17 = 2 \times 10 + c\\17 = 20 + c\\c = 17 - 20 = -3[/tex]
Thus, the value o y-intercept = c = -3
Thus, the equation of considered straight line is [tex]y =2x - 3[/tex]
The graph of this equation is given below.
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What is an equation for the line with slope 2/3 and 7-intercept 9? 30 points to whoever answers this correctly and gets brainliest answer.
Answers
The equation of the line is y = [tex]\frac{2}{3}[/tex] x + 9
Step-by-step explanation:
The equation of a line in slope-intercept form is y = m x + b, where
m is the slope of the lineb is the y-intercept ⇒ the value of y when x = 0∵ The line has a slope [tex]\frac{2}{3}[/tex]
∴ m = [tex]\frac{2}{3}[/tex]
∵ The y-intercept is 9
∴ b = 9
- Substitute the values of m and b in the form of the equation below
∵ y = m x + b
∴ y = [tex]\frac{2}{3}[/tex] x + 9
The equation of the line is y = [tex]\frac{2}{3}[/tex] x + 9
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The length of a rectangle is 1 cm less than three times the width. If the perimeter of the rectangle is 46 cm find the length and width of the rectangle
Answers
Answer:
Length = 17, Width = 6
Step-by-step explanation:
Let the length be L and width be W.
L = 3W - 1 , and,
2(L + W) = 46 => L+W = 23 => L = 23 - W, putting this into L = 3W - 1
23 - W = 3W - 1
24 = 4W
W = 6
therefore, L = 23 - W = 17
Which graph represents the solution set of this inequality?
12b - 15 > 21
Answers
Answer:
An open circle line going passed and from 3 that way --->
Step-by-step explanation:
Add 15 to both sides
12b > 36
Divide 12 to both sides
b > 3
Answer:
It will be an open circle going pass the 3 like this
o---------------------------------------------------------------->
Step-by-step explanation:
12b - 15 > 21
add 15:
12b - 15 > 21
+ 15 + 15
So now it's:
12b > 36
Now divide by 12:
12b > 36
/12 /12
And now your answer is:
b > 3
A theatre has the capacity to seat people across two levels, the Circle and
the Stalls.
The ratio of the number of seats in the Circle to the number of seats in
the Stalls is 2:5
Last Friday, the audience occupied all the 528 seats in the Circle and
the seats in the Stalls.
Work out the percentage of occupancy of the theatre last Friday.
Answers
Given the ratio of seats in the Circle to the Stalls is 2:5 and knowing the number of filled seats in the Circle, we can calculate that there were 1320 filled seats in the Stalls. This brings the total number of filled seats to 1848. However, without information on the theatre's total capacity, we cannot calculate the percentage occupancy.
Explanation:The ratio of the number of seats in the Circle to the number of seats in the Stalls is 2:5. This means that for every 2 seats in the Circle there are 5 in the Stalls. Given that there were 528 seats filled in the Circle, we can use this ratio to calculate the number of filled seats in the Stalls.
Divide the number of filled Circle seats by 2 (which is 528/2 = 264) and then multiply by 5, which gives us 1320 filled seats in the Stalls. To calculate the total number of filled seats, we add the filled seats in the Circle and the Stalls together (1320 + 528), which gives us 1848 filled seats.
To work out the percentage of occupancy, we must first find out the maximum capacity of the theatre. All we know is the ratio of seats, we don't know the exact total number of seats. Unless we know the total number of seats in the theatre, we cannot work out the percentage of occupancy for last Friday.
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The number of occupied seats in the theatre, in both Circle and Stalls is summed up and divided by the total number of seats in the theatre. The result in decimal is multiplied by 100% to get the percentage occupancy. In this case, as all seats were occupied, the percentage is 100%.
Explanation:The subject of your question involves ratio and percentage, which falls under the category of Mathematics, specifically proportions and ratios. We know that the ratio of the number of seats in the Circle to the number of seats in the Stalls is 2:5. This means that for every 2 seats in the Circle, there are 5 seats in the Stalls. If there were 528 seats occupied in the Circle, since the ratio is 2:5, the number of occupied seats in the Stalls would be (528/2)*5 = 1320. The total number of seats in the theatre is the sum of seats in both Circle and Stalls which is 528+1320 = 1848. The proportion of occupied seats is the sum of occupied seats in both levels (528+1320) divided by the total (1848), which gives us the decimal 1. The percentage of this is 1*100 = 100%. So the percentage occupancy of the theatre last Friday was 100%.
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Select all expressions that are equivalent to 8 times 8 times 8 times 8 times 8
Answers
Answer:
8^5
Step-by-step explanation:
8^5
12+3y+y=?
What is the answer?
Answers
Answer:
12+4y
Step-by-step explanation:
12+3y+y=12+4y
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COMPARING SIMPLE AND COMPOUND INTEREST
um and Britt each deposit $5,000 into accounts that earn 5% interest. Adam's account
Sunnual simple interest while Britt's account earns annual compouna inter
ITs account earns annual compound interest. The tables below
w how much interest is earned each year for the first 3 years in Adam and Britt's accounts.
ATT
Annual compound interest
ADAM
Annual simple interest
CALCULATION INTEREST
BRITT
INTEREST
CALCULATION
$250
$250
$262.50
$250
YEAR 1 5,000.05)
YEAR 2 5,0000.05)
YEAR 3 5,000(.05)
TOTAL INTEREST EARNED:
YEAR 1 5,000(.05)
YEAR 2 5,2500.05)
YEAR 3 5,512.500.05)
TOTAL INTEREST EARNED:
$275.63
$250
$788.13
$750
a. Who will earn more interest after three years, and how much more?
b. Using the tables to help, describe any differences you notice between how Adam and Britt':
interest amounts are calculated.
Answers
Britt will earn more interest after three years due to the compound interest on her account, totaling $788.13 compared to Adam's $750 from simple interest, resulting in a difference of $38.13. The key distinction lies in the interest calculation: Adam's remains constant, while Britt's increases each year due to the compounding effect.
The question involves calculating and comparing simple and compound interest earned on two separate $5,000 deposits over a period of three years at an annual interest rate of 5%.
Adam's account earns simple interest, meaning the interest each year is calculated using the original principal of $5,000, resulting in $250 of interest per year, totaling $750 after three years.
Britt's account, however, earns compound interest, with each year's interest calculated on the growing balance from the previous year.
As we can see from the tables, Britt's first year interest is the same as Adam's ($250), but it increases each subsequent year because it's calculated on the new principal (original plus accumulated interest).
After three years, Britt's total interest is $788.13, earning more interest than Adam's $750. The difference in the total interest earned after three years between Britt (compound interest) and Adam (simple interest) is $38.13.
The main difference in how interest is calculated between Britt and Adam's accounts is that Adam's interest is consistently $250 each year (calculated as $5,000 x 0.05),
while Britt's interest increases each year, demonstrating the effect of compound interest.
By Year 3, Britt earns $275.63 in interest compared to Adam's unchanged $250.
I have two Law Of Sines Problems that I need to Help Solved! Please!!
give me a minute to upload the pictures
20 points if answer correct
Answers
Answer:
From figure A
The value of ∠ B = 75.74° , ∠ C = 70.26° and AB = 27.37
From figure B
The value of ∠ A = 42.8° , ∠ B = 106.2° and AC = 30.04
Step-by-step explanation:
Given first figure as :
AC = 28.2
BC = 16.5
∠ A = 34°
Let AB = c
From law of sines
[tex]\dfrac{a}{Sin A}[/tex] = [tex]\dfrac{b}{Sin B}[/tex] = [tex]\dfrac{c}{Sin C}[/tex]
Or, [tex]\dfrac{a}{Sin A}[/tex] = [tex]\dfrac{b}{Sin B}[/tex]
or, [tex]\dfrac{16.5}{Sin 34}[/tex] = [tex]\dfrac{28.2}{Sin B}[/tex]
Or, 29.506 = [tex]\dfrac{28.2}{Sin B}[/tex]
Or, Sin B = [tex]\dfrac{28.2}{29.5}[/tex]
Or, Sin B = 0.955
∴ ∠B = [tex]Sin^{-1}[/tex] 0.955
I.e∠ B = 75.74
Now, ∠ C = 180° - ( ∠A + ∠B )
Or, ∠ C = 180° - ( 34° + 75.74° )
Or, ∠ C = 70.26°
Now, Again
[tex]\dfrac{b}{Sin B}[/tex] = [tex]\dfrac{c}{Sin C}[/tex]
so, [tex]\dfrac{28.2}{Sin 75.74}[/tex] = [tex]\dfrac{c}{Sin 70.26}[/tex]
Or, [tex]\dfrac{28.2}{0.9691}[/tex] = [tex]\dfrac{c}{0.9412}[/tex]
Or, c = 29.09 × 0.9412
∴ c = 27.37
I.e AB = 27.37
Hence, The value of ∠ B = 75.74° , ∠ C = 70.26° and AB = 27.37
From figure second
Given as :
AB = c= 12
BC = a = 16
∠ C = 31°
let AC = b
From law of sines
[tex]\dfrac{a}{Sin A}[/tex] = [tex]\dfrac{b}{Sin B}[/tex] = [tex]\dfrac{c}{Sin C}[/tex]
Or, [tex]\dfrac{a}{SinA }[/tex] = [tex]\dfrac{c}{Sin C}[/tex]
or, [tex]\dfrac{16}{Sin A}[/tex] = [tex]\dfrac{12}{Sin 31}[/tex]
or, [tex]\dfrac{16}{Sin A}[/tex] = [tex]\dfrac{12}{0.51}[/tex]
Or, [tex]\dfrac{16}{Sin A}[/tex] = 23.52
∴ Sin A = [tex]\dfrac{16}{23.52}[/tex]
I.e Sin A = 0.68
Or, ∠ A = [tex]Sin^{-1}[/tex] 0.68
or, ∠ A = 42.8°
Now, ∠ B = 180° - ( 31° + 42.8° )
Or, ∠ B = 106.2°
Now, [tex]\dfrac{b}{Sin B}[/tex] = [tex]\dfrac{c}{Sin C}[/tex]
or, [tex]\dfrac{b}{Sin 106.2}[/tex] = [tex]\dfrac{16}{Sin 31}[/tex]
Or, [tex]\dfrac{b}{0.96}[/tex] = [tex]\dfrac{16}{0.51}[/tex]
or, b = 31.3×0.96
∴ b = 30.04
Hence The value of ∠ A = 42.8° , ∠ B = 106.2° and AC = 30.04
Answer
Write the slope-intercept form of the equation
Through: (0,5) and (3,3)
Answers
Answer:
y=-2x+5
Step-by-step explanation:
x squared by 2 + 4x = -11
Answers
Answer:
x=-2+sqrt(7)*i, -2-sqrt(7)*i
Step-by-step explanation:
x^2+4x=-11
x^2+4x-(-11)=0
x^2+4x+11=0
Apply the quadratic formula with a=1, b=4 and c=11.
subtract the polynomials (4x^ - 3x + 8) - (2x^ + 2x - 5)
Answers
Answer:
2x^2-5x+13
Step-by-step explanation:
(4x^2-3x+8)-(2x^2+2x-5)
4x^2-2x^2-3x-2x+8-(-5)
2x^2-5x+8+5
2x^2-5x+13
2 fourths in simplest form
Answers
The Glee Club sold a total of 150 tickets to their spring concert. Student tickets cost $5.00 each and adult tickets cost $8.00 each. If they had $1,020 in ticket sales, how many adult tickets did they sell?
About to fail math willing to take any answers lol
Answers
Answer:
The Glee Club sold 90 Adult tickets.
Step-by-step explanation:
Let the number of Student ticket be x.
Let the number of Adult ticket be y.
Total Number of ticket sold is 150.
Hence,
Total Number of ticket = number of Student ticket + the number of Adult ticket
[tex]x+y=150 \ \ \ \ equation\ 1[/tex]
Also Given;
Student tickets cost $5.00 each.
Adult tickets cost $8.00 each.
Ticket Sales is $1,020.
hence,
[tex]5x+8y=1020 \ \ \ \ equation\ 2[/tex]
Now Multiplying equation 1 by 5 we get.
[tex]5\times(x+y)= 5\times150\\5x+5y=750\ \ \ \ equation \ 3[/tex]
Now Subtracting equation 2 from equation 3 we get;
[tex](5x+8y=1020)-(5x+5y=750)\\\\3y = 270\\y= \frac{270}{3}= 90[/tex]
Number of adult ticket sold is 90.
Also [tex]x+y=150\\x+90=150\\x=150-90=60[/tex]
Number of Student ticket sold is 60.
Hence, The Glee Club sold 90 Adult tickets.
By using a system of equations and the elimination method, we determined the Glee Club sold 90 adult tickets.
Explanation:To help you understand how many adult tickets were sold by the Glee Club, we can use a system of equations to represent the situation. Let x represent the number of student tickets sold, and let y represent the number of adult tickets sold.
We have two equations based on the problem:
x + y = 150 (the total number of tickets sold)5x + 8y = 1020 (the total amount of money made from ticket sales)We can solve this system using the substitution or elimination method. Here, elimination will be more convenient:
Multiply the first equation by 5 to line up the x terms:5x + 5y = 750Subtract the new first equation from the second equation:
(5x + 8y) - (5x + 5y) = 1020 - 7503y = 270Now, divide both sides by 3 to find the number of adult tickets:
y = 270 / 3y = 90
Therefore, the number of adult tickets sold was 90.
A rectangular living room has an area of 425 square feet the width of the room is 17 feet. What is the length of the room?
Answers
Answer:
the length of the room = 25 feet
Step-by-step explanation:
Area =W*L
Area = 17*L =425
Divide all by 17
L=25
17*25=425
The length of the room will be 25 feet.
What is mean by Rectangle?
A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
A rectangular living room has an area of 425 square feet the width of the room is 17 feet.
Now,
Let the length of the room = x feet
Since, The area of rectangle = Width x Length
Substitute all the values, we get;
⇒ 425 = 17 × x
⇒ x = 425 / 17
⇒ x = 25
Thus, The length of the room will be 25 feet.
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Use the Distributive Property to simplify the expression 6 • 68.
Evaluate the expression 48 ÷ m for m = 10.
Solve the equation 3.8 = x ÷ 7.7. Then check the solution.
Solve x + 5.1 = 13.4
Use mental math to solve the equation 8x = 64.
Solve the equation 22 = m + 1. Then check the solution.
Evaluate the expression 45 – 4x for x = 5.
. Find the missing term Box, 256, 64, 16.
Answers
Answer:
Step-by-step explanation:
6*68=408
------------------
48/10=4.8
----------------
3.8=x/7.7
x=3.8*7.7x
x=29.26
---------------
x+5.1=13.4
x=13.4-5.1
x=8.3
---------------
8x=64
x=64/8
x=8
--------------
22=m+1
m=22-1
m=21
----------
45-4x for x=5
45-4(5)=45-20=25
---------------------------
256, 64, 16, 4
Answer:
6*68=408
Step-by-step explanation: