Answer:
A = 84.3
Step-by-step explanation:
Given the formula for the Pentagon:
1/4√5(5+2√5)a^2
The first step is to simplify the expression.
[tex]\frac{49\sqrt{25+10\sqrt{5}}}{4}[/tex]
The second step is to convert it to a decimal form.
84.30339262
The last step is to round 84.30339262.
84.3
I hope this helped!
Answer:
for second one
2.01m² is your answer
A new car is for lease for $429 per month with a down payment of $1,058. What is the cost for 42 months for this vehicle?
$19,076
$44,865
$44,436
$18,018
$62,454
Which inequality represents "six times a number is less than negative thirty-nine and three-quarters"? 6x > –39Three-fourths 6 + x > -39 Three-fourths 6x < -39Three-fourths 6 x less-than-or-equal-to negative 39 and three-fourths
Given:
The phrase is "six times a number is less than negative thirty-nine and three-quarters".
To find:
The inequality represented by the given phrase.
Solution:
Let x be the unknown number.
Six times a number is "6x".
Less than is "<".
Negative thirty-nine and three-quarters is "[tex]-39\dfrac{3}{4}[/tex]".
So, six times a number is less than negative thirty-nine and three-quarters is:
[tex]6x<-39\dfrac{3}{4}[/tex]
Therefore, the correct option is C.
Answer:
"six times a number is less than negative thirty-nine and three-quarters".
Step-by-step explanation:
or C
The students of a high school are 51% males. Of the students at this high school 45% of males and 40% of females said they regularly attend concerts.
Answer:
(b) Probability that a student is male and attends concert = 22.95%
(c) Probability that a student is female and does not attend concert = 29.4%
(d) Probability that a student attends concerts = 42.55%
Step-by-step explanation:
P.S - The exact question is -
Given - The population of a high school is 51% male. 45% of the males and 40% of the females attend concerts.
To find - (a) Make a tree diagram based on the information above.
(b) Find the probability that a student is male and attends
concerts.
(c) Find the probability that a student is female and does not
attend concerts.
(d) Find the probability that a student attends concerts.
Proof -
Let the total population of the high school = 100 x
Given that,
The students of a high school are 51% males
⇒Total males in the high school = 51% × 100 x
= [tex]\frac{51}{100}[/tex] × 100 x = 51 x
⇒Total males in the high school = 51 x
⇒Total females in the high school = 100 x - 51 x = 49 x
Now,
Given that,
Of the students at this high school 45% of males and 40% of females said they regularly attend concerts.
⇒Total number of males that attend the concert = 45% × 51 x
= [tex]\frac{45}{100}[/tex] × 51 x = 22.95 x
⇒Total number of males that attend the concert = 22.95 x
And
Total number of males that do not attend the concert = 51 x - 22.95 x
= 28.05 x
⇒Total number of males that do not attend the concert = 28.05 x
Also,
Total number of females that attend the concert = 40% × 49 x
= [tex]\frac{40}{100}[/tex] × 49 x = 19.6 x
⇒Total number of females that attend the concert = 19.6 x
And
Total number of females that do not attend the concert = 49 x - 19.6 x
= 29.4 x
⇒Total number of females that do not attend the concert = 29.4 x
(a)
The tree diagram is as follows :
(b)
Probability that a student is male and attends concert = [tex]\frac{22.95 x}{100 x}[/tex] × 100 %
= 22.95%
⇒Probability that a student is male and attends concert = 22.95%
(c)
Probability that a student is female and does not attend concert = [tex]\frac{29.4x}{100x}[/tex] × 100%
= 29.4%
⇒Probability that a student is female and does not attend concert = 29.4%
(d)
Probability that a student attends concerts = [tex]\frac{22.95x + 19.6x}{100x}[/tex] ×100%
= [tex]\frac{42.55}{100}[/tex] ×100%
= 42.55%
⇒Probability that a student attends concerts = 42.55%
Find the center and radius of x2+2x+y2+10y=15
Answer: (x + 7)^2 + (y + 5)^ =9
Step-by-step explanation:
Are the figures congruent? Explain.
choose the answer that best completes the sentence.
If you know a root of a function is -2+V3i , then ___.
Answer:
2 + V3i is a known root
Step-by-step explanation:
We want the positive and negative values from the square root
Answer:
D. -2-[tex]\sqrt{3i[/tex]Step-by-step explanation:
I am taking the assignment and got it correct. Good luck
help me plz! I dont know how to solve it
Answer: 170%
Step-by-step explanation:
Penny paid off a loan with a simple interest rate of 11.2% in 6 months. What was the APR?
11.2%
9.6%
22.4%
19.2%
5.6%
Answer: 19.2%
Step-by-step explanation:
APR= (2(n)(r))/(n+1)
APR= 2(6)(0.112)/(6+1)
APR= 19.2
n= number of monthly payments (6)
r= the rate (11.2% or 0.112)
The solution is Option C.
The annual percentage rate of Penny is 22.4 %
What is Annual Percentage Yield?
The annual percentage yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest.
An APR is a number that represents the total yearly cost of borrowing money, expressed as a percentage of the principal loan amount.
Given data ,
Let the annual percentage rate be represented as A
Now , the value of A is
The simple interest rate R of Penny = 11.2 %
The time period of Penny n = 6 months
The annual percentage rate is calculated by = ( 12 x R ) / n
Substituting the values in the equation , we get
The annual percentage rate A = ( 12 x 11.2 ) / 6
The annual percentage rate A = 2 x 11.2
The annual percentage rate A = 22.4 %
Therefore , the value of A is 22.4 %
Hence , the annual percentage rate is 22.4 %
To learn more about annual percentage rate click :
https://brainly.com/question/22648762
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LOOK I really new help on this I will give u cash for it just give me your cash app or Venmo please help this is so many points
question
(60-5.8) ÷ 5 - 3^2
can you please explain it in an essay type like words and not just show me the answer I need it to show me how you got the answer don't give me just the answer
Answer:
1.84
Step-by-step explanation:
First you solve what is in the parenthesis.
60 - 5.8 = 54.2
The equation is now 54.2 ÷ 5 - 3^2
Now, you do the exponents. 3^2 = 9 since 3 to the second power is just another way to write 3 x 3.
Your equation is now 54.2 ÷ 5 - 9
You then divide 54.2 ÷ 5
54.2 ÷ 5 = 10.84
The last equation is 10.84 - 9
10.84 - 9 = 1.84
Answer:
Answer 1.84.
Step-by-step explanation:
The first person's answer and explanation is correct.
short song i made what yall think of it?
For the two numbers listed, find two factors of the first number such that their product is the first number and their sum is the second number. 8, −9
Answer:
the answer is -8 and -1
-8 × -1 = 8
-8 + - 1 = -9
Which of the following is NOT a linear function?
y=x
y=5
y=-3x-5
y=x^2+6
Shannon wants to buy some muffins and a greeting card for her friend's party. A local grocery store sells muffins for $2.75 each and greeting cards for $2.00.
If Shannon buys 12 muffins and 1 card, how much money does she spend at the grocery store?
A. $57.00
В. $33.00
C. $35.00
D. $26.75
Answer:
$35
Step-by-step explanation:
jus trust
Part III: For each polynomial, determine the degree and write the polynomial in descending
order. (4 points: 2 points each)
A. -4x2 – 12 + 11x4 B. 2x5 + 14 - 3x4 + 7x + 3x3
Answer:
1,4
2,5
11x4-4x2-12
2x5-3x4+3x3+7x+14
Mollie set a goal of saving at least $200 in a savings account. She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?
Answer:
28 weeks it will take to reach her goal
What is the product of (x − 3) and (x + 7)? A. x^2 + 4x − 21 B. x^2 − 4x − 21 C. x^2 − 10x − 21 D. x^2 + 10x − 21
Answer: (x−3)(x+7)
Step-by-step explanation:
=(x+−3)(x+7)
=(x)(x)+(x)(7)+(−3)(x)+(−3)(7)
=x^2+7x−3x−21
=x^2+4x−21
Answer:
A. X^2+4x-21
Step-by-step explanation:
(x−3)(x+7)
=(x+−3)(x+7)
=(x)(x)+(x)(7)+(−3)(x)+(−3)(7)
=x2+7x−3x−21
=x2+4x−21
I hope this helps :) I got it CORRECT also i added the Steps if your teacher asked for steps :)
If you graphed this system, what would the solution be?
y=2x
y=−1x−6
Answer:
(-2, -4)
Step-by-step explanation:
[y = 2x, y = -x -6]
Solve by substitution:
-x - 6 = 2x
simplify
3x = -6
divide
x = -2
Plug back in one equation to solve for y coordinate:
y = 2(-2)
y = -4
(-2, -4)
If each of the cubes in a Rubik's Cube represented 1 cubic inch, what would be the volume of the Rubik's Cube?
Answer:
The volume of the Rubik's Cube is 27 in^3
Step-by-step explanation:
Each face of a Rubik's Cube has 3x3 cubes, then each face has 9 small cubes.
We can think of a Rubik's Cube as 3 pieces, such that each piece has 9 small cubes on it, and the 3 pieces are: Front side, middle part, back part.
Then the total number of small cubes on a Rubik's cube is 9*3 = 27 small cubes.
Now we know that each one of these small cubes has a volume of 1 in^3
Then the volume of 27 of these cubes is 27 times the volume of a single smaller cube, then the volume of the Rubik's Cube is:
V = 27*( 1 in^3) = 27 in^3
Mr. Turney wrote the value statement "x = 2" on the whiteboard. He asked his students to create an equation or inequality with this value as a solution.
Answer:
Some of the equations can be written as-
1. 2x = 4
2. 3x + 9 = 15
3. x + 5 = 7
4. 5x - 2 = 8
Step-by-step explanation:
Given - Mr. Turney wrote the value statement "x = 2" on the whiteboard.
To find - He asked his students to create an equation or inequality with
this value as a solution.
Proof -
Given that, The value statement is ''x = 2''
We have to find out that equation in such a way that if we solve the equation , we get the value x = 2
There can be infinite many equation that give the value statement '' x = 2''
Some of the equations can be written as-
1. 2x = 4
2. 3x + 9 = 15
3. x + 5 = 7
4. 5x - 2 = 8
And many more.
Verification -
1. 2x = 4
⇒x = [tex]\frac{4}{2}[/tex]
⇒x = 2
Verified
2. 3x + 9 = 15
⇒3x = 15 - 9
⇒3x = 6
⇒x = [tex]\frac{6}{3}[/tex]
⇒x = 2
Verified
3. x + 5 = 7
⇒x = 7 - 5
⇒x = 2
Verified
4. 5x - 2 = 8
⇒5x = 8 + 2
⇒5x = 10
⇒x = [tex]\frac{10}{5}[/tex]
⇒x = 2
Verified
Solve the equation. Select all that apply.
Answer:
ll
Step-by-step explanation:
square root of 121 is 11 since 11x11=121
PLZ HELP WILL GIVE BRAINLEST HELP ASAP
Answer:
176 feet
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
find the circumference then multiply by 24 then find the answer that is the closest
plsss help i’ll give brainliest if you give a correct answer
Answer:
60
Step-by-step explanation:
40% = 0.4
150(0.4) = 60
Answer:
60
Step-by-step explanation:
150 x 40% = 60
what is the solution to the system of equations below? y=-3x-9 and y=1/3x-39
a. (9, -36)
b. (9,0)
c. (-9, 18)
d. (-9, -42)
Answer:
Step-by-step explanation:
Compare 6*10^5 and 3*10^4
Answer: 6*10^5 > 3*10^4
Step-by-step explanation:
6*10^5 = 600000
3*10^4 = 30000
Solve for x.parallelogram
Plz show steps so I can learn
Answer:
in a parallelogram .......the sum.of adjacent angles is 180
11x-10+80=180
11x=110
x=10
What is the probability of not rolling a 2 or 4 on a number cube having sides labeled with numbers 1-6
Answer: 2/3
Step-by-step explanation:
In the number cube, the possible numbers that can be gotten when it is rolled are 1, 2, 3, 4, 5 and 6.
We should note that when 2 or 4 is not rolled, there'll be 4 other numbers which can be rolled and they're 1, 3, 5 and 6.
Therefore, the probability of not rolling a 2 or 4 on a number cube having sides labeled with numbers 1-6 will be 4/6. This can be further reduced to 2/3
On Monday the price of one share of Webb company stock was 24.85. By Friday the price was 25.004. By how much did the price change from Monday to Friday ?
Answer:
Change in price = 0.154
Step-by-step explanation:
Given that,
The price on Monday = 24.85
The price on Friday = 25.004
We need to find the change in price from Monday to Friday. It can be calculated as follows :
Change = 25.004 - 24.85
= 0.154
So, the required change in the price is equal to 0.154 .
HELP 40 POINTS!!!! ILL GIVE BRAINLIEST TOO
Answer:
40 students
10 teachers
Step-by-step explanation:
32 + 8 = 40
5 + 5 = 10
Hope this helps!! ♥︎
Jane's cell phone plan is $58 each month plus $0.20 per minute for each minute over 200 minutes of call time. Jane's cell phone bill last month was $67.00. Write an equation that can be used to determine the number of minutes over 200 that Jane was billed. How many minutes over 200 was Jane billed last month?
Answer: 45 minutes more than 200
Step-by-step explanation:
So for every minute over 200 jane has to pay 0.20 cents per additional minute. The equation we can use is $58+0.20m=$67 where m is the amount of minutes after 200 jane has to pay 20 cents per
58+0.20m=67
0.20m=9
m=45
So Jane was billed for 45 minutes over 200 minutes last month. so in total 245 minutes and she was charged for the extra 45 minutes
Instant Meals sent out free samples to introduce its new product, Sesame soup. Each sample weighs 69 g. The post office charges thirty-six cents for every 23 g of weight. How much would Instant Meals spend on postage to mail out one hundred eighty-eight samples?
Answer:
$203.04
Step-by-step explanation:
The computation is shown below:
23 ounces to be $0.36
And,
69 ounces be x
So here x
= (69 ounces × $0.36) ÷ 23 ounces
= $1.08
Since there is 188 samples, so the total value is
= $1.08 × 188
= $203.04