If HL - 16 ft, GL = 6 ft, LI = 8 ft, and GI = 10 ft, what is the area in square feet of ΔGHI ? Do NOT label your answer. Use numbers only
Thank you
Answers
The area in square feet of ΔGHI is 72 ft²
Since HL = 16 ft, GL = 6 ft, LI = 8 ft, and GI = 10 ft.
Area of ΔGHI = area of ΔGHL + area of ΔGLI
area of ΔGHL = 1/2 GL × HL
area of ΔGHL = 1/2 × 6 ft × 16 ft
area of ΔGHL = 3 ft × 16 ft
area of ΔGHL = 48 ft²
area of ΔGLI = 1/2 GL × LI
area of ΔGLI = 1/2 × 6 ft × 8 ft
area of ΔGLI = 3 ft × 8 ft
area of ΔGLI = 24 ft²
So, Area of ΔGHI = area of ΔGHL + area of ΔGLI
Area of ΔGHI = 48 ft² + 24 ft²
Area of ΔGHI = 72 ft²
So, area in square feet of ΔGHI is 72 ft²
Learn more about area of a triangle here:
https://brainly.com/question/19805509
Related Questions
3. Study Hours (Based on Exercise 8.7) Babcock and Marks (2010) reviewed survey data from 2003–2005 and obtained an average of µ = 14 hours per week spent studying by full-time students at 4-year colleges in the United States. To determine whether this average changed over the 10 subsequent years, a researcher selected a sample of = 64 of college students. The data file hours.csv has data consistent with what the researcher found. In this question, you will use the data to if this sample indicates a significant change in the number of hours spent studying.
a. Which of the following are the hypotheses to test if this sample indicates a significant change in the average number of hours spent studying?
i. 0: µ = 14 and 1: µ < 14
ii. 0: µ = 14 and 1: µ ≠ 14
iii. 0: µ = 14 and 1: µ > 14
Answers
The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:
0: µ = 14 (null hypothesis)
1: µ ≠ 14 (alternative hypothesis)
Option B is the correct answer.
We have,
The null hypothesis states that the population mean for the number of hours spent studying by full-time students at 4-year colleges in the United States is equal to 14 hours per week,
while the alternative hypothesis states that it is different from 14 hours per week.
By using a two-tailed test, we are checking for any significant change in either direction, whether the average number of hours spent studying has increased or decreased from 14 hours per week.
Thus,
The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:
0: µ = 14 (null hypothesis)
1: µ ≠ 14 (alternative hypothesis)
Learn more about hypothesis testing here:
https://brainly.com/question/30588452
#SPJ1
Just help don’t ask please
Answers
Step-by-step explanation:
change graphic into alohabet so it is easier to see
solve easy equation with only a type of unknown first..
once you found the value of the unknownm , substitute it in any equation so you can find the value of other unknown.
Which graph best represents a function with a domain of all real numbers greater than or
equal to 5?
Answers
Answer:
(c)
Step-by-step explanation:
You want the graph that has a domain of x ≥ 5.
DomainThe domain of a function is the set of x-values for which the function is defined. A domain of x ≥ 5 means the function is defined for x-values at least 5. The graph of the function will extend from x=5 indefinitely to the right.
Graph C is like that.
A truck driver pays for emergency repairs that cost $1,325.76 with a credit card that has an annual rate of 19.95%. If the truck driver pays $120 a month until the balance is paid off, how
much interest will have been paid?
A spreadsheet was used to calculate the correct answer. Your answer may vary slightly depending on the technology used.
O $93.65
O $151.53
O $188.16
O $161.21
Answers
The answer is $292.33. This represents the total amount of interest paid over the 14-month payment period.
Define the term interest rate?Interest rate refers to the amount charged by a lender to a borrower for the use of money, usually expressed as a percentage of the principal amount borrowed.
To calculate the interest paid, we first need to determine the total amount of interest charged over the 14-month payment period. We can use the following formula to calculate the monthly interest rate:
i = (APR / 12) = 0.1995 / 12 = 0.016625
Where APR is the annual percentage rate.
The total interest charged can be calculated using the formula:
Total interest = Principal * Interest rate * Time
Where Principal is the initial debt, Interest rate is the monthly interest rate, and Time is the duration of the loan in months.
So, the total interest charged would be:
Total interest = $1,325.76 * 0.016625 * 14 = $292.33
Therefore, the answer is $292.33. This represents the total amount of interest paid over the 14-month payment period.
To know more about interest, visit:
https://brainly.com/question/3248706
#SPJ1
Lily has 30 Marvel Funko Pops. The number of Marvel Funky Pops in her collection is only 60% of hes total Funko Pops. How many total Funko Pops are in her collection?
Answers
Lily has 30 Marvel Pops, they are 60% of the total Pops
How many in total ?
We can say that the realation between 30 an the total is the same relation between 60% and 100%, so we can write:
30/x = 60/100
\(\frac{30}{x}=\frac{60}{100}\)Where x is the total number of Pops
Solving this for x:
x = 30(100)/60 = 3000/60 = 50
\(x\text{ = }\frac{\text{30(100)}}{60}=\frac{3000}{60}=50\)Answer:
Number of total Funlo Pops in her collection: 50
Please review the following sets of sentences and select the one that contains filler.
A. This Star Wars LEGO set has 305 pieces and includes two minifigures and two droids you can battle against each other.
B. Your kids will love the LEGO Star Wars Republic Fighter Tank and spend hours building it to completion.
C. The set features an opening top hatch with a cockpit where you can place the included Clone Trooper Gunner figure to ready for battle.
D. This set also includes heroes like Obi-Wan Kenobi and Anakin Skywalker, both of whom come fully-equipped with their signature lightsabers and Jedi robes.
Answers
The sentence that contains filler is: D. This set also includes heroes like Obi-Wan Kenobi and Anakin Skywalker, both of whom come fully-equipped with their signature lightsabers and Jedi robes. Option D
In this sentence, the phrase "also includes heroes like Obi-Wan Kenobi and Anakin Skywalker" acts as a filler. The main purpose of this phrase is to provide additional information about the set and highlight the inclusion of popular characters from the Star Wars franchise. It doesn't directly contribute to the core information about the set's features or components.
The other sentences (A, B, and C) provide specific details and descriptions about the LEGO set, such as the number of pieces, minifigures, droids, and features like the opening top hatch and cockpit. They directly convey important information about the set itself without any filler or additional unnecessary information.
In marketing or promotional contexts, fillers are often used to enhance the appeal of a product or create excitement by mentioning well-known or desirable elements that may not be directly relevant to the core features. The filler in sentence D serves to attract fans of Obi-Wan Kenobi and Anakin Skywalker by emphasizing their presence in the set and the inclusion of their iconic weapons and attire.
Option D
For more such questions on contains filler visit:
https://brainly.com/question/14365146
#SPJ8
Answer:D
Step-by-step explanation:
calculate the average power radiated by each square meter of the sun's surface. (hint: the formula for the surface area of a sphere is a
Answers
The average power radiated by each square meter of the sun's surface is approximately 386 W/m². This value is calculated by dividing the total power radiated by the sun (approx. 386 billion Megawatts) by its surface area (approx. 6.08 x 10¹⁸ square meters). The formula for the surface area of a sphere is 4πr².
Sun Power Output CalculationThe average power radiated by each square meter of the sun's surface can be calculated as follows:
Calculate the total power radiated by the sun:The total power radiated by the sun is approximately 386 billion
Megawatts (3.86 x 10³³ erg/s).
Calculate the surface area of the sun:The surface area of the sun can be calculated using the formula for
the surface area of a sphere:
A = 4πr², where r is the radius of the sun (approx. 6.96 x 10⁸
meters).
Plugging in the values, we get:
A = 4π (6.96 x 10⁸)² = 6.08 x 10¹⁸ square meters.
Divide the total power by the surface area:Finally, divide the total power by the surface area to get the
average power radiated by each square meter of the sun's surface:
P = 3.86 x 10³³ erg/s / 6.08 x 10¹⁸ m² = 386 W/m².
Learn more about Sun Power Output Calculation here:
https://brainly.com/question/30174924
#SPJ4
F(x)=-14/x^2 average rate
Answers
Answer:
I am assuming that the function is f(x)=20(14)x, if it is
then f(x)=280x , The average rate of change between x =1 and x=2
is the slope of the function between the 2 and 1
Average rate of change = [f(b)-f(a)/b-a] let a and b be x and y
f(a)=f(x)=f(1)=280x1=280
f(b)=f(y)=f(2)=280x2=560
Average rate of change = [f(b)-f(a)/b-a]=[(560-280)/(2-1)]=280
There is no decimal unless the function given is wrong
Step-by-step explanation:
I really really really need someone help
Answers
Answer:
\(m = \frac{13.0 - 11.2}{14 - 4} = \frac{1.8}{10} = \frac{9}{50} \)
\(13 = \frac{9}{50} (14) + b\)
\( \frac{650}{50} = \frac{126}{50} + b\)
\(b = \frac{524}{50} \)
\(y = \frac{9}{50} x + \frac{524}{50} \)
Please help! Linear Equation word problems using the Ax + By = C form!
Answers
Answer:
1. T = 5x + 3y
2. 16 tomatoes.
Step-by-step explanation:
1. Determination of the linear expression.
Let x represent the number of pumpkin.
Let y represent the number of tomato.
Let T represent the total sales made from selling the pumpkins and tomatoes.
From the question,
1 pumpkin = $ 5
Hence,
x pumpkin = 5x
1 tomatoe = $ 3
Hence
y tomatoes = 3y
Therefore, the total sales (T) made from selling the pumpkin and tomatoes will be:
T = 5x + 3y
Where:
T is the total sales made from selling the pumpkin and tomatoes.
x is the number of pumpkin.
y is the number of tomatoe
2. Determination of the number of tomatoes sold.
Total cost (T) = $ 98
Number of pumpkin (x) = 10
Number of tomatoe (y) =?
T = 5x + 3y
98 = 5(10) + 3y
98 = 50 + 3y
Collect like terms
98 – 50 = 3y
48 = 3y
Divide both side by 3
y = 48/3
y = 16
Therefore, 16 tomatoes was sold.
Which expression can be used to find the quotient of 15 and 1/3?
A.) 15 + 1/3
B.) 15 - 1/3
C.) 15 x 1/3
D.) 15 divided by 1/3
Answers
Answer:
D
Step-by-step explanation:
Quotient means that it is a division equation.
Hope this helps!
A 799.99 television is selling for 13% off. Find the final price of the television if the sales tax is 6%
Answers
evaluate the expression 12x-3y when x is -1/4 and y is 3
Answers
Answer:
-12
Step-by-step explanation:
plug in and solve
1. 12(-1/4) - 3(3)
2. -12/4 - 9
3. -3 - 9
4. -12
2
-27
-1,
if x < -2
ii. Let g(x) = x , if – 2<x< 2
1,
if x > 2
(a) Find the following limits.
()
lim g(x)
(ii) lim g(x)
lim g(x)
(iv) lim g(x)
(b) Sketch the graph of g
(c) Where is g discontinuous?
--2+
-2
-27
Answers
There is a sale at khols, and tennis shoes are 30% off. How much are you saving if the shoes originally cost $62
Answers
Answer: $18.6
Step-by-step explanation: If we take a look at the sale off the shoes cost which is $43.4 and look at the sale amount (30%) which is 18 dollars and 60 cents the answer is: 18.6 or $18.6 off
use an appropriate taylor series to find the first four nonzero terms of an infinite series that is equal to ln(5/3).
Answers
The appropriate Taylor series for an infinite series with the first four nonzero terms equal to ln(5/3) is 0/1!, 0/2!, 0/3!, and 0/4! .......
What is taylor series?An infinite sum of words that are expressed in terms of a function's derivatives at a single point is known as the Taylor series or Taylor expansion of a function in mathematics. Near this point, the function and the sum of its Taylor series are equivalent for the majority of common functions. The polynomial or function of an infinite sum of terms is the Taylor series. The exponent or degree of each succeeding term will be greater than the exponent or degree of the one before it.
The formula is:
∑n=0 to ∞(fⁿ(a)(x-a)ⁿ)/n!
Here,
∑n=0 to ∞(fⁿ(a)(x-a)ⁿ)/n!
at n=1,
=0/1!
at n=2,
=0/2!
at n=3,
=0/3!
at n=4,
=0/4!
Appropriate taylor series for first four nonzero terms of an infinite series that is equal to ln(5/3) is 0/1!, 0/2!, 0/3!, 0/4!.......
To know more about taylor series,
https://brainly.com/question/28158012
#SPJ4
Can someone answer theese 3 questions
Answers
Answer:
Which three questions?
Step-by-step explanation:
I've answered this first question, I guess I need two more...
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. You have a credit card with a balance of $754.43 at a 13.6% APR. You have $300.00 available each month to save or pay down your debts. a. How many months will it take to pay off the credit card if you only put half of the available money toward the credit card each month and make the payments at the beginning of the month? b. How many months will it take to pay off the credit card if you put all of the available money toward the credit card each month and make the payments at the beginning of the month? Be sure to include in your response: • the answer to the original question • the mathematical steps for solving the problem demonstrating mathematical reasoning
Answers
a. It will take 7 months to pay off the credit card.
b. it will take 4 months to pay off the credit card.
Since, APR stands for Annual Percentage Rate. It is the interest rate charged on a loan or credit card, expressed as a yearly percentage rate. The APR takes into account not only the interest rate, but also any fees or charges associated with the loan or credit card.
a. If you put half of the available money each month toward the credit card, then you are paying $150.00 per month towards the credit card balance.
We can use the formula for the present value of an annuity to find how many months it will take to pay off the credit card:
PV = PMT × ((1 - (1 + r)⁻ⁿ) / r)
where:
PV is the present value of the debt
PMT is the payment amount per period
r is the monthly interest rate
n is the number of periods
Substituting the values, we get:
754.43 = 150 × ((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)
Simplifying and solving for n, we get:
n = log(1 + (PV ×r / PMT)) / log(1 + r)
n = log(1 + (754.43×0.011333 / 150)) / log(1 + 0.011333)
n = 6.18
Therefore, it will take 7 months to pay off the credit card if you put half of the available money each month toward the credit card.
b. If you put all of the available money each month toward the credit card, then you are paying $300.00 per month towards the credit card balance.
754.43 = 300 ×((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)
Simplifying and solving for n, we get:
n = log(1 + (PV × r / PMT)) / log(1 + r)
n = log(1 + (754.43× 0.011333 / 300)) / log(1 + 0.011333)
n = 3.43
Therefore, it will take 4 months to pay off the credit card if you put all of the available money each month toward the credit card.
Learn more about APR, visit:
brainly.com/question/13597527
#SPJ1
A wet sock is stuck onto the inner wall of a washing machine drum as it rotates at a steady speed the graph shows the sock displacement y, in inches, from the center of the drum, for a given number of seconds, X what is the diameter of the washing machine drum?
Answers
The diameter of the washing machine which is equivalent to the wavelength using the graph above would be = 2.5in.
How to determine the diameter of the washing machine's drum?To calculate the diameter of the washing machine drum, the formula that should be used is given below as follows;
V = fλ
where
V = displacement/time
F = 1/T
But;
Displacement = 10 in
Time = 2 seconds
V = 10/2 = 5 in/s
F = 1/2 = 0.5
λ = 5/0.5 = 2.5in
Learn more about diameter here:
https://brainly.com/question/28162977
#SPJ1
HELP SHOW HOW TO SOLVE THIS PLEASE
write an equation of the line that has slope 3 and goes through the point (4, 1)
Answers
y = 3x - 11
Step-by-step explanation:
A line that has a slope of 3 can be represented as:
y = 3x where 3 is the slope and in slope-intercept formula, 3 is located in m where m also stands for the slope
(Slope-intercept form: y = mx + b)
To write the equation of the line that has a slope of 3 and goes through the point (4, 1), you first have to take that point and plug it in the slope-intercept equation.
y = 3x + b because we also need a y-intercept in the equation so…
(1) = 3(4) + b
1 = 12 + b
b = 1 - 12
B = -11
so the y-intercept of the line is -11
and the equation of the line is y = 3x - 11
find the sum of the fractions below. 5/8 + 1/n = 7/8 A. 3 B. 3 5/12 C. 3 4/9 D. 4
Answers
Answer:
D. 4
Step-by-step explanation:
1) Subtract 5/8 from both sides.
1/n = 7/8 - 5/8
2) Simplify 7/8 - 5/8 to 1/4.
1/n = 1/4
3) Multiply both sides by n.
1 = 1/4n
4) Simplify 1/4n to n/4.
1 = n/4
5) Multiply both sides by 4.
1 * 4 = n
6) Simplify 1 * 4 to 4.
4 = n
7) Switch sides.
n = 4
Check Answer:
5/8 + 1/n = 7/8
1) Let n = 4.
5/8 + 1/4 = 7/8
2) Simplify 5/8 + 1/4 to 7/8.
7/8 = 7/8
Which is the best step to do next to solve the equation by completing the square 9(x^2+49x=22-5x
Answers
Answer: 0
Step-by-step explanation:
Simplifying
9x2 + 49x = 22 + -5x
Reorder the terms:
49x + 9x2 = 22 + -5x
Solving
49x + 9x2 = 22 + -5x
Solving for variable 'x'.
Reorder the terms:
-22 + 49x + 5x + 9x2 = 22 + -5x + -22 + 5x
Combine like terms: 49x + 5x = 54x
-22 + 54x + 9x2 = 22 + -5x + -22 + 5x
Reorder the terms:
-22 + 54x + 9x2 = 22 + -22 + -5x + 5x
Combine like terms: 22 + -22 = 0
-22 + 54x + 9x2 = 0 + -5x + 5x
-22 + 54x + 9x2 = -5x + 5x
Combine like terms: -5x + 5x = 0
-22 + 54x + 9x2 = 0
Simplify (49t ^ - 5)/(7 ^ - 3 * 10 * e ^ - 9) * (t * 0)
Pls fast
Answers
Answer:
\( \frac{(49 {t}^{ - 5} )}{( {7}^{ - 3} \times 10 {e}^{ - 9} ) \times (t \times 0)} \\ = \frac{( { {7}^{2} t}^{ - 5} ) \times 7 {}^{3} }{(10 {e}^{ - 9} )} \\ = \frac{ {7}^{5} }{( 10{t}^{5} {e}^{ - 9} ) } \)
Which expression are equivalent to 13^6 divide by (13^8)(13^-4)/13^-2
Answers
→ 13⁶ ÷ [ {13⁸ * 13^(-4)} / 13^(-2) ]
Solving Second part first, we get,
→ [ {13⁸ * 13^(-4)} / 13^(-2) ]
using a^b * a^c = a^(b + c) in Numerator , we get,
→ [ 13^(8 - 4) / 13^(-2) ]
→ 13⁴ / 13^(-2)
→ 13⁴ ÷ 13^(-2)
using a^b ÷ a^c = a^(b - c) now , we get,
→ 13^{4 - (-2) }
→ 13^(4 + 2)
→ 13⁶.
Now , Putting this value in question we get,
→ 13⁶ ÷ 13⁶
→ 1 (Ans.)
A student solves the following equation and determines that the solution is −2. Is the student correct? Explain. 3/a + 2 − 6a/a2 − 4 = 1 /a − 2
Answers
The value of a is mathematically given as a=1.68989794. Both sides of the equation are unequal with -2 , Hence No, the student is not correct
What is an equation?An Equation is simply defined as an mathematical statement, where two mathematical expressions are made equal to one another.
Was the solution of -2 given by the student to the equation correct?Question Parameter(s):
. 3/a + 2 − 6a/a2 − 4 = 1 /a − 2
Firstly, for the student to be correct the value -2 as a value of a must render the equation equal to zero
Generally, the equation is mathematically given as
3/a + 2 − 6a/a2 − 4 = 1 /a − 2
Subbing -2
3/(-2) + 2 − 6(-2)/(-2)2 − 4 = 1 /(2) − 2
-15.5-1.5
In conclusion, both sides are unequal
therefore, student, a is not correct
The correct value of a=1.68989794
Read more about Arithmetic
https://brainly.com/question/22568180
Answer:
No, the student did not check the solution to the derived equation in the original equation.
No, a possible solution is a = –2, but it does not check in the original equation because it makes two of the denominators equal to zero.
No, a = –2 is an extraneous solution, and there is no solution to the original rational equation.
Step-by-step explanation:
edge 2023
Check Your Understanding- Question 4 of 4
Which of these is a situation in which a census is a reasonable option?
Attempt 1 of 2
A. A study of the migration of a species of honeybee
B. A study of a drug's side effects
C. A study of the durability of earthquake-proof building materials
D. A decision among six friends about toppings to get on a shared pizza
HINT
SUBMIT
Answers
The term refers to a thorough count, often known as a comprehensive enumeration.
What is meant by census ?
Every unit, whether it be an individual or the entire population, is studied during a census. A comprehensive enumeration, which refers to an exhaustive count, is what is meant by the term.
A census is a survey that is carried out on the entire collection of observational objects that are a part of a certain population or universe. A census is a thorough count of a population or groups at a particular period in relation to clearly specified qualities, such as population, production, or traffic on specific roadways.
The population of a nation is counted during a census. It also provides information about those individuals, including their histories, possessions, and way of life. Censuses are a key decision-making tool for both governments and enterprises.
The correct answer is option C. A study of the durability of earthquake-proof building materials.
To learn more about census refer to:
https://brainly.com/question/25846785
#SPJ1
will mark brainleist pls help
Answers
Answer:
x = 31°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
x + 54° + 95° = 180°
x + 149° = 180° ( subtract 149° from both sides )
x = 31°
Question 3
A group of 5 people went to the movies and spent $44 on food and drink. The total amount spent, including
tickets, was $98.50.
What was the price, in dollars, of one ticket?
Answers
Answer:
One ticket cost $10.90.
Step-by-step explanation:
The total spent was $98.50--food, drinks, admission--everything.
$44.00 was for food and drinks.
We can take the 44 away from the total.
98.50 - 44.00
= 54.50
They spent 54.50 on 5 tickets to get in. Divide to find the cost of one tickets. This assumes that all 5 tickets were the same price.
54.50 ÷ 5 = 10.90
The price of one ticket was $10.90
To make this look like algebra class...
let x = the price of one ticket
5x = the price of 5 tickets
5x + 44 = 98.50
subtract 44
5x = 54.50
divide by 5
x = 10.90
Jenny won a charity raffle. Her prize will be randomly selected from the 9 prizes shown below. The prizes include 4 rings, 3 cameras, and 2 headsets.
Prizes
(a) Find the odds against Jenny winning a headset.
(b) Find the odds in favor of Jenny winning a headset.
Answers
The odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.
Since Jenny won a charity raffle, and her prize will be randomly selected from the 9 prizes shown below, and the prizes include 7 rings, 1 camera, and 1 headset, to find the odds against Jenny winning a headset, and find the odds in favor of Jenny winning a headset, the following calculations must be performed:
· 1 headset out of 9 total prizes
· 1/9 = headset
· 1/9 x 100 = 11.11%
· 100 - 11.11 = 88.89%
Therefore, the odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.
Evaluate: show your work
Find the value of the variable.
102-8m=86
HELP. PLEASE HELP ME. I could really use your help. Please and thank you :))
Answers
102-8m=86
-86 -86
___________
16 -8m (0)
—- -8m
-8m
answer is -2 = m