25 POINTS AND BRAINLIEST 6. Consider the following figure.
Part A: Determine the PERIMETER of the figure above.
Part B: Determine the AREA of the figure above.
Answers
Answer: The perimeter is 95 + 15 sqrt 3, and the area is 600 + 35 sqrt 3 / 2
Step-by-step explanation:
We can draw an imaginary line to form a 30 60 90 triangle. The ratio of side lengths in this special triangle is 1 sqrt 3 2. We are given that the side length opposite to 60 degrees is 15. 15 divided by sqrt 3 is equal to 5 sqrt 3. Now, to find the diagonal we can do 5 sqrt 3 * 2 = 10 sqrt 3. So now, we can find the perimeter. The perimeter is equal to 15 + 40 + 40 + 5 sqrt 3 + 10 sqrt 3 = 95 + 15 sqrt 3. Now, we can find the area. The area can be split into the rectangle's area and the triangle's area. The rectangle's area is 15 * 40 = 600. The triangle's area is 15 * 5 sqrt 3 / 2 = 35 sqrt 3 / 2. The total area is 600 + 35 sqrt 3 / 2.
Answer:
Perimeter: 95+15*sqrt(3)=120.98
Area: ([45*sqrt(5)]/2) + 600=605.3
Related Questions
Find the length of the third side.
Answers
I'm not sure if I did this right.
Answer:
2
Step-by-step explanation:
[tex]1^2+x^2=\sqrt{5}^2[/tex]
[tex]x^2+1=5[/tex]
[tex]x=\frac{+}{-} \sqrt{4}[/tex]
2 or -2
In 2009, Tanvi paid $1,900 in federal income tax. In 2010, she paid 16% more than in 2009. How much did Tanvi pay in 2010?
PLZ NEED ASAP AND EXPLAIN STEP BY STEP!! Thank you!
Answers
In 2009- She paid $1900
She paid 16% more in 2010
16/100*1900=304
She paid $304 extra
$1900+$304
=$2204
Answer: In 2010 Tanvi paid $2204
If p is inversely proportional to the square of q, and p is 25 when q is 3, determine p
when q is equal to 5.
Answers
Answer:
p = 9 when q = 5.
Step-by-step explanation:
p is inversely proportional to the square of q
This means that:
[tex]p = \frac{k}{q^2}[/tex]
In which k is a constant multiplier.
p is 25 when q is 3
We use this to find k.
[tex]p = \frac{k}{q^2}[/tex]
[tex]25 = \frac{k}{3^2}[/tex]
[tex]k = 25*9 = 225[/tex]
So
[tex]p = \frac{225}{q^2}[/tex]
Determine p when q is equal to 5.
[tex]p = \frac{225}{q^2} = \frac{225}{5^2} = 9[/tex]
p = 9 when q = 5.
According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose that sixteen adults in the United States are selected randomly. What is the probability that three or less of the selected adults have saved nothing for retirement
Answers
Answer:
0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20% of adults in the United States save nothing for retirement (CNBC website).
This means that [tex]p = 0.2[/tex]
Suppose that sixteen adults in the United States are selected randomly.
This means that [tex]n = 16[/tex]
What is the probability that three or less of the selected adults have saved nothing for retirement?
This is:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281[/tex]
[tex]P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126[/tex]
[tex]P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111[/tex]
[tex]P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463[/tex]
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981[/tex]
0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement
In the past year and a half, Gnarly the dog lost an average of 2/9 pound each month. Today, Gnarly weighs 14 pounds. How much did Gnarly weigh a year and a half ago?
Answers
Answer:
Weight before 18 month = 18 pound
Step-by-step explanation:
Given:
Current weight of dog = 14 pound
Weight lose each month = 2/9 pound
Total number of month = [tex]1\frac{1}{2}[/tex] year = 18 month
Find:
Weight before 18 month
Computation:
Total weight lose = Weight lose each month x Total number of month
Total weight lose = 2/9 x 18
Total weight lose = 4 pound
Weight before 18 month = Current weight of dog + Total weight lose
Weight before 18 month = 14 + 4
Weight before 18 month = 18 pound
In order to add the fractions 2/5 + 3/4, first, we need to find the least common denominator. The LCD for 4 & 5 is 20. Now that we know the LCD is 20, what are the new equivalent fractions?
Answers
Answer:
8/20 and 15/20 and then you add to get 23/20 AKA 1 3/20
Step-by-step explanation:
Since you multiply 5 by 4 to get the LCD, apply the same method to the top: 2 times 4 is 8
Next do the same for the other fraction: 4 times 5 is 20 so apply that to get 3 times 5 is 15
Your final fractions will be 8/20 and 15/20
Then add and reduce to get 1 3/20
what solid can be folded from the net?
Answers
Answer:
I think it is triangular prisim
Answer:
Triangular prism
Step-by-step explanation:
The traffic flow rate (cars per hour) across an intersection is
r
(
t
)
=
300
+
600
t
−
90
t
2
, where
t
is in hours, and
t
=0 is 6am. How many cars pass through the intersection between 6 am and 9 am?
Answers
Answer:
990 cars
Step-by-step explanation:
Find how many cars pass through at 6am, t=0:
r(0)= 300+600(0)-90(0²) = 300
Find how many cars pass through at 9am, t=3:
r(3)= 300+600(3)-900(3²)=300+1800-810=1290
Find the difference (how many cars pass between 6am and 9am): 1290-300=990
Use the work below to answer the following questions.
-4+ 7(1-3m)
-4 + 7 - 21m
-4 – 14m
Answers
Answer:
-54
Step-by-step explanation:
plz plz plz help ill give brainly
Answers
Answer:
Width is 3
Step-by-step explanation:
_____________
/ / |
/ ______________/ |
2.5| | |
f | | |
e | | |
e | | |
t | | |
| | /
| | /
|______________|/ 3 feet
4 feet
One-third of 1/2 cake =_____ cake.
Answers
Answer:
1/6
Step-by-step explanation:
1/3 x 1/2 = 1/6
1/3*1/2=(1*1)/(3*2)=1/6
Point B has rectangular coordinates (-5, 12)
Write the coordinates (r, e) for point B. (O in degrees)
Answers
Answer:
(13, -67.4°)
Step-by-step explanation:
In the general case, for a point (x, y), the same point written in polar coordinates is (r, θ), such that:
r = √(x^2 + y^2)
θ = Atg(y/x)
Then if we have the point with coordinates (-5, 12)
The polar coordinates will be:
r = √((-5)^2 + 12^2) = 13
θ = Atg(12/-5) = -67.4°
Then the polar coordinates are:
(13, -67.4°)
Rosalind made 969 donuts and put 8 donuts into each box. How many boxes of donuts were made
Answers
Answer:
121 donuts in each box
Step-by-step explanation:
969 divided by 8 = 121.125
(Ignore the remainder)
Step by step solution:
We know that there are 969 doughnuts, and there are 8 doughnuts per box. What we need to find out is how many boxes of doughnuts were made.
Step 1:
Set up an equation for Number of doughnuts (969) / Number of doughnuts per box (8) = Number of boxes made (x), which would look like this:
969/8 = x
Step 2:
Doing this, we can get 121.125, which leaves us with
121.125 = x
121.125 = 121.125
Which gives us the answer of 121.125, which we can shorten to 121, as the decimal is not necessary.
Checking our answer:
We can check our answer simply be rewording our 1st equation to solve for the number of doughnuts made. This would give us the equation Number of doughnuts per box (8) * Number of boxes made (121.125) = x. Solving this equation would look like
8 * 121.125 = x
969 = x
969 = 969
Answer: By completing the steps above we get 121, and we can check our work by rewording the problem to solve for the number of Doughnuts. Good Luck!
.Use the following data set to answer the questions below.
8, 15, 17, 19, 21, 82
1. What is the mean?
2. What is the median?
3. Is there an outlier? If so, what is the outlier?
4. What is the mean without the outlier?
Answers
Answer:
1. The mean is 162 divided 6 = 27 which is like 27 x 6 = 162
2. So since 17 and 19 are in the middle of course you will have to add that together 17 + 19 = 36 but then you MUST ALWAYS divide by 2 which 36 divided by 2 = 18
3. Yes there is a outlier. and i believe it's 82
4. i believe the mean will be 80 but then divided by 5 will be 16
hope this helped :D
Step-by-step explanation:
8. A box is filled with candies in different colors. We have 40 white candies, 24 green ones, 12
red ones, 24 yellow ones and 20 blue ones. If we have selected one candy from the box
without peeking into it, find the probability of getting a green or red candy.
Answers
Answer:
[tex]P(Green\ or\ Red) = 0.30[/tex]
Step-by-step explanation:
Given
[tex]White = 40[/tex]
[tex]Green = 24[/tex]
[tex]Red = 12[/tex]
[tex]Yellow = 24[/tex]
[tex]Blue = 20[/tex]
Required
[tex]P(Green\ or\ Red)[/tex]
The total numbe of candy is:
[tex]Total = 40 + 24 + 12 + 24 + 20[/tex]
[tex]Total = 120[/tex]
This probability is calculated as:
[tex]P(Green\ or\ Red) = P(Green) + P(Red)[/tex]
For each, we have:
[tex]P(Green\ or\ Red) = \frac{Green}{Total} + \frac{Red}{Total}[/tex]
Take LCM
[tex]P(Green\ or\ Red) = \frac{Green+Red}{Total}[/tex]
[tex]P(Green\ or\ Red) = \frac{24+12}{120}[/tex]
[tex]P(Green\ or\ Red) = \frac{36}{120}[/tex]
[tex]P(Green\ or\ Red) = 0.30[/tex]
X
A regular heptagon has a side of approximately 4.3 ft and an apothem of approximately 4.5 ft.
Find the area of the heptagon.
X
1+1
2.
X
4.5 ft
4.3
Answers
Answer: 67.725feet²
Step-by-step explanation:
A heptagon consist of 7 sides and Its area is calculated using the formula
= 1/2 × nsr
n = number of sides = 7
s = side length = 4.3
r = apothem = 4.5
Area = 1/2 × nsr
= 1/2 × 7 × 4.3 × 4.5
= 0.5 × 7 × 4.3 × 4.5
= 67.725feet²
2.301 is greater than less than it equal to 2.31
Answers
Answer:
It's less than
Step-by-step explanation:
You have to add an extra 0 at the end of 2.31 to make it 2.310. From there it should be obvious that 2.310 is greater than 2.301. Therefore 2.301 is less than 2.31
The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the two rear wheels of eight cars and runs the cars until the tires wear out. The data (in kilometers) follow. Find a 99% confidence interval on the difference in the mean life.
Car Brand 1 Brand 2
1 36663 33866
2 43509 41829
3 36240 35500
4 32100 31950
5 37210 38015
6 48360 47800
7 38200 37810
8 33500 33215
a) Calculate SD =
b) Calculate a 99% two-sided confidence interval on the difference in mean life.
c) Which brand would you prefer? (brand 1/ no difference /brand 2)_____
Answers
Answer:
a) σ = 4933,64
b) CI 99% = ( - 5746 ; 7194 )
c) No difference in brands
Step-by-step explanation:
Brand 1:
n₁ = 8
x₁ = 38222
s₁ = 4974
Brand 2:
n₂ = 8
x₂ = 37498
s₂ = 4893
As n₁ = n₂ = 8 Small sample we work with t -student table
degree of freedom df = n₁ + n₂ - 2 df = 8 +8 -2 df = 14
CI = 99 % CI = 0,99
From t-student table we find t(c) = 2,624
CI = ( x₁ - x₂ ) ± t(c) * √σ²/n₁ + σ²/n₂
σ² = [( n₁ - 1 ) *s₁² + ( n₂ - 1 ) * s₂² ] / n₁ +n₂ -2
σ² = 7* (4974)² + 7*( 4893)² / 14
σ² = 24340783 σ = 4933,64
√ σ²/n₁ + σ²/n₂ = √ 24340783/8 + 24340783/8
√ σ²/n₁ + σ²/n₂ = 2466
CI 99% = ( x₁ - x₂ ) ± 2,624* 2466
CI 99% = 724 ± 6470
CI 99% = ( - 5746 ; 7194 )
As we can see CI 99% contains 0 and that means that there is not statistical difference between mean life of the two groups
2. Julio has 1/6 pound of candy. He puts the candy
into 4 bags. Write an expression that represents the
fraction.
Answers
Answer:
4/6
Step-by-step explanation:
(1/6 times 4)make 4 into a fraction and that is 4/1 multyply the numerator and denominator 6x1=6 so 6 is the denominator and 4x1 is 4 so 4 is the numerator so its 4/6
The expression that represents the fraction is 1/6 * 1/4 or 1/24
How to determine the fraction?The given parameters are:
Amount of candy = 1/6 pounds
Number of bags = 4
The expression that represents the amount in each bag is:
Amount = Amount of candy/Number of bags
This give
Amount = 1/6 / 4
Express as product
Amount = 1/6 * 1/4
Evaluate
Amount = 1/24
Hence, the expression that represents the fraction is 1/6 * 1/4 or 1/24
Read more about fractions at:
https://brainly.com/question/11562149
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What is the inverse of x/4 ?
ill give brainlist thingy lol
Answers
Step-by-step explanation:
If you are talking about an inverse function f-1(x) of the function f(x), you must remember that, by definition,
f(f-1(x)) = x
So given f(x) = x/4 if I apply an arbitrary K which is equal to f-1(x), then
f(K) = x
K/4 = x
K = 4x
But I want to recover f-1(x), so replace it back.
f-1(x) = 4x
Done
What is the domain of (-2, 5), (8, 6), (3, 12) (2, 6)
Answers
Answer:
The domain is (-2, 8, 3, 2)
Step-by-step explanation:
The domain is such because domain is the x-element or the one you see at first in the ordered pairs.
Natasha goes bowling she pays $5.75 for an admission ticket and $9.25 for each round of bowling she plays the total amount of Tasha pays for admission and the number of rounds who plays is $33.50 which equation can be used to determine the number of rounds X that Natasha bowled
a.) 5.75 x + 9.25=33.50
b.) 9.25 X - 5.75= 33.50
c.) 5.75 + 9.25 X= 33.50
d.) 5.75 x - 9.25=33.50.
Answers
what is the value of 3 in 728.36
Answers
The length of arc GJ is equivalent to 26π/3 units.
What is place value?Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.
Given is the value of 3 in 728.36.
In 728.36, the digit 3 is at tenths place. The digit 6 is at units place. We can say that the digit 3 is at tenths place in the decimal number 728.36.
Therefore, the digit 3 is at tenths place in the decimal number 728.36.
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If P = (3, 1) and Q = (-3, -7), find The distance PO
Answers
Answer:
10 units
Step-by-step explanation:
Given data
P = (3, 1) and Q = (-3, -7)
x1=3
y1=1
x2= -3
y2= -7
The expression for the distance between two coordinate is
d=√((x_2-x_1)²+(y_2-y_1)²)
Substitute
d=√((-3-3)²+(-7-1)²)
d=√((-6)²+(-8)²)
d=√36+64
d=√100
d=10 units
Hence the distance is 10 units
adadaadadadadadadadad
Answers
Answer:
I think B and D
Step-by-step explanation:
I’m not 100% sure tho
table below shows the number of miles run each day of the week. Which list shows the number of miles
run in order from least to greatest?
Monday, Thursday, Wednesday, Tuesday
Monday, Thursday, Wednesday, Tuesday
Thursday, Tuesday, Wednesday, Monday
Thursday, Tuesday, Wednesday, Monday
Monday, Wednesday, Tuesday, Thursday
Monday, Wednesday, Tuesday, Thursday
Tuesday, Monday, Wednesday, Thursday
Answers
Answer:
monday wednesday tuesday thursday
Step-by-step explanation:
edge 2020
Monday, Wednesday, Tuesday and Thursday is the order from least to greatest.
What is Fraction?A fraction represents a part of a whole.
Monday = [tex]3\frac{1}{3}[/tex]
Convert mixed fraction to improper 10/3
Decimal value 3.33
Tuesday = [tex]3\frac{2}{5}[/tex]
The improper fraction is 17/5
Decimal value 3.4
Wednesday = [tex]3\frac{3}{8}[/tex]
The improper fraction is 27/8
Decimal 3.375
Thursday = [tex]3\frac{1}{2}[/tex]
The improper fraction is 7/2 which is 3.5
Hence, Monday, Wednesday, Tuesday and Thursday is the order from least to greatest.
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The probability that it will snow on Sunday is 3/5. The probability that it will snow on both Sunday and Monday is 3/10. What is the probability that it will snow on Monday, if it snowed on Sunday?
Answers
Answer:
1/2
Step-by-step explanation:
Probability of snowing on both Sunday and Monday= probability that it will snow on Sunday × probability that it will snow on Monday.
(and usually means multiply the probabilities while or implies addition of the probabilities).
Let probability of snowing on Monday be P
Hence 3/10=3/5× P
Hence P=(3/10) divided by (3/5) = 1/2
can you help me with this question i will give 40 points?
Answers
1. Consider the surface area of the pyramid shown.
(a) Draw a net for the pyramid. Label all sides with measurements.
(b) Write an expression for the surface area of the pyramid and then find the surface area.
Answers
I don’t how to do but b) I know
b) ________________
/ (10 ✖️10)-(1.5 ✖️1.5)
\/. =9.887
(3✖️3)+4(1/2✖️3 ✖️9.887)
=9+59.322
=68.322
Answer is 68.322
I think
Also sorry I didn’t do a) because I really don’t how to do so...
Answer:
i am also trying to figure out a
Step-by-step explanation:
[tex]16 \div81 \: - 3 \div 4[/tex]
please note that this is exponents
Answers
Answer:
16/81-3/4[
=[16×4-3×81]/[81×4]=-179/324 is your answer