The areas of the triangle and the pentagon, given their side lengths are:
Area of triangle - 1. 73 cm ²Area of pentagon - 6. 88 cm ²How to find the area ?If each of the sides of a triangle are 2 cm, then this is an equilateral triangle which means the area is :
= √ 3 / 4 x side ²
= √ 3 / 4 x 2 ²
= 1. 73 cm ²
The area of the pentagon would be :
= 1 / 4 x √ ( ( 5 x ( 5 + 2 √ 5 ) side ²)
= 6. 88 cm ²
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Find the surface area of the cylinder below. Round your answer to two decimal places.
Answer:
728.85
Step-by-step explanation:
Surface area of a cylinder equation: A = 2πrh+2πr²
A = (2π(4)(25))+(2π(4²))
A = 728.85cm³
Given g(x) = -x – 4, solve for x when g(x) = 10.
Answer:
sub in 10 for x. -10-4=-14
Step-by-step explanation:
A rectangular rug is 12' long and 16' wide. A rhombus design is formed
inside the rug by joining the midpoints of each side of the rectangle. What
is the length of each side of the rhombus?
*
How many songs can you play from 6:00 to 10:00
Answer:
Using common knowledge each song is about 2 minutes and 50 seconds, so you can listen to about 100 songs, maybe more
Step-by-step explanation:
6-10=4hrs
4 hours divided by 2:50=
4 hours= 280 Minutes, 2:50 can be rounded to 3min, 280/3=93.3333333333
In other words, you can estimate to 94.
So the answer should be around 94
If possible brainliest?
if AB = 3 centimeters and AC = 2 centimeters, what is the largest possible perimeter, in centimeters, of isosceles triangle ABC?
Answer:
8
Step-by-step explanation:
AB is 3 cm and AC is 2 cm, and since triangle ABC is an isosceles triangle, BC can either be 3 cm or 2 cm. We want the longest perimeter possible, so make BC 3 cm, and add the side lengths to find the perimeter.
P = 3 + 3 + 2 = 8.
Kaylee is buying a calculator that has a price tag of $65. At the register, the cashier applies a 15% discount to the $65 price. How much will Kaylee pay for the calculator after the 15% discount?
Answer:
\( \sf { 55.25}\)
Step-by-step explanation:
Step 1: Find the percentage price of calculator = $65 × 15%
\( = \frac{65}{1} \times \frac{15}{100} \)
\( = 65 \times 0.15\)
\( = 9.75\)
Step 2: Substract the price of the percentage from the price of the calculator
\( = 65 - 9.75\)
\( = 55.25\)
So, Kaylee will pay $55.25 for the calculator after the 15% discount
Kristina walks from her house, around the park, to the store. She is interested in taking a shortcut through the park to save time. Approximately how far away from her house is the store, if she were to follow the path shown by the dotted line in the graphic below?* HOUSE PARK 80 m 100 m STOR O 134 m O 128 m O 180 m 200 m nal. If a 65 inch television has 1 point
If she follows the path shown by the dotted line in the graph, the distance from her house to the store would be = 128m. That is option B.
How to calculate the distance between her house and the store?To calculate the distance between her house and the store the Pythagorean formula should be used which is given as follows;
C² = a² + b²
where;
a= 80
b= 100
c= ?
That is;
c²= 80²+100²
= 6400+10000
= 16,400
c = √16400
= 128.1m
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Please help me please? ok so here is the problem
The dimensions of the rhombus are given below.
Since H is the center of the rhombus, all sides are equal in length.
Let x be the length of each side. Then, we can use the Pythagorean theorem to solve for x:
DE = (EF/2)^2 + (DF/2)^2
DE² = (13/2)^2 + (18/2)^2
DE² = 169/4 + 324/4
DE² = 123.25
DE = sqrt(493)/2
Since DEFG is a rhombus, all sides are equal in length. Thus, we have:
EF = FG = 13
FG = GH = DE = 11.10
GH = HE = EF = 13
Therefore, the dimensions of the rhombus are:
DE = FG = GH = HE = 11.10
EF = DF = 13 and 18, respectively.
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Arlo researched the starting salaries at the different companies that he applied to. Here is the data he found:
$24,640
$26,740
$23,620
$25,520
$24,710
$25,180
$25,520
$24,750
$24,710
$23,860
Find the mean, median, and mode of the data set. Show your work. (10 points)
Step-by-step explanation:
median -> $24.710+$25.180=$49.89
$49.98÷2=$24.945
mode -> $25.520 and $24.710
mean -> $24.640+$26.740+$23.620+$25.520+$24.710+$25.180+$25.520+$24.750+$24.710+$23.860= $249.25
$249.25÷10=$24.925
mean (add all your numbers together and then divide them by how many they are, here there are 10 numbers)
median (the middle one, if there are 2 in the middle, then you'd add those two numbers together and then divide by two)
mode (the number you see the most, mode *most*)
I hope all this helped, this took time. Take care!
A student can pitch a fast ball at 65 miles per hour. Convert this
speed to yards per second.
O 95.33 yd/sec
O 132.95 yd/sec
O 31.77 yd/sec
O 21.67 yd/sec
Answer:
31.77 yd/sec
Step-by-step explanation:
Conversions:
1 mile = 1760 yards1 hour = 3600 secondsGiven:
\(\sf 65\:miles\:per\:hour=65\:miles/hour=\dfrac{65\:miles}{hour}\)
Therefore, to convert 65 mph to yards per second:
\(\implies \sf \dfrac{65\:miles}{hour}=\dfrac{65 \times 1760\:yards}{3600\:seconds}=31.777...\:yd/s\)
Answer:
c.) 31.77... yd/sec
Explanation:
Given: 1 hours → 65 miles
Conversions:
(i) 1 hour = 60 minutes = 3600 seconds
(ii) 1 miles = 1760 yards
Then,
1 hour = 3600 seconds65 miles = (1760 × 65) = 114400 yards Speed:⇒ distance/speed
⇒ 114400/3600
⇒ 31.77777...
⇒ 31.77 yd/sec
Help help help math
Answer:
C ≈ 54
Step-by-step explanation:
The circumference (C) is calculated as
C = πd ( d is the diameter )
Here d = 18 , then
C = π × 18 ≈ 3 × 18 = 54
I need help on this ASAP
Answer:
B and D
Step-by-step explanation:
Distributive property on 3(c-3) is 3c-12=20. D is the same. Divide instead.
Answer:
the 2nd and 4th one
Step-by-step explanation:
4( c - 3 ) = 8
you can either distribute the 4 which means multiply whats inside of the parenthesis by 4 , 4 * c = 4c and 4 * -3 = -12 to get 4c - 12 = 8
or you can divide both sides by 4 which will get you c - 3 = 2
4(c-3)/4 = c - 3
8/4 = 2
c - 3 = 2
An elevator is two floors below ground level and goes
up 5 floors. Write an addition equation that models the
location of the elevator relative to ground level. What
integer represents the new location? Please help me
Answer:
Third floorStep-by-step explanation:
The ground level is zero, then we have the following equations.
2 levels below ground level:
0 - 2 = -25 levels up:
-2 + 5 = 3Answer:
\(here \: elevator \: is \: at \: below \: ground \: \\ level \: by \: two \: floors \\ so \: take \: it \: as \: 1 \: so \: then \: ground \: level = 3 \\ \\ then \: the \:upper \: floor \: is \: 5 \\ \\ then \: upper \: - ground = 5 - 2 = 23\ so \: answer \: is3 \\ thank \: you\)
a. The mean selling price (in $ thousands) of the homes was computed earlier to be $357.0, with a standard deviation of $160.7. Use the normal distribution to estimate the percentage of homes selling for more than $500.000. Compare this to the actual results. Is price normally distributed? Try another test. If price is normally distributed, how many homes should have a price greater than the mean? Compare this to the actual number of homes. Construct a frequency distribution of price. What do you observe?
b. The mean days on the market is 30 with a standard deviation of 10 days. Use the normal distribution to estimate the number of homes on the market more than 24 days. Compare this to the actual results. Try another test. If days on the market is normally distributed, how many homes should be on the market more than the mean number of days? Compare this to the actual number of homes. Does the normal distribution yield a good approximation of the actual results? Create a frequency distribution of days on the market. What do you observe?
a. To estimate the percentage of homes selling for more than $500,000 and analyze the normality of the price distribution, we use the mean and standard deviation provided. Additionally, we compare the expected number of homes with prices greater than the mean to the actual number. A frequency distribution of prices can also provide insights.
b. For estimating the number of homes on the market for more than 24 days and assessing the normality of the days on the market distribution, we utilize the mean and standard deviation given. We compare the expected number of homes with more than the mean days on the market to the actual number. A frequency distribution of days on the market can help in understanding the distribution pattern.
a. To estimate the percentage of homes selling for more than $500,000, we need to calculate the area under the normal distribution curve beyond $500,000 using the mean ($357,000) and standard deviation ($160,700). We can then compare this estimate to the actual results to assess the normality of the price distribution. Additionally, by comparing the expected number of homes with prices greater than the mean to the actual number, we can evaluate the distribution's fit. Constructing a frequency distribution of prices can reveal patterns or skewness.
b. To estimate the number of homes on the market for more than 24 days, we can use the mean (30 days) and standard deviation (10 days) with the normal distribution. Comparing this estimate to the actual results helps assess the normality of the days on the market distribution. Furthermore, by comparing the expected number of homes with more than the mean days on the market to the actual number, we can evaluate the approximation. Constructing a frequency distribution of days on the market can provide insights into the distribution's shape and characteristics.
Note: The actual results and observations from the frequency distributions will depend on the specific data and its distribution pattern.
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Explain why h(x)=x2+3x−10/x+5 has a hole and g(x)=3x−2/x+5 has a vertical asymptote at x=−5 even though they both have x+5 as the denominator.
The function h(x) = (x^2 + 3x - 10) / (x + 5) has a hole at x = -5 because it can be simplified by canceling out the common factor of x + 5 in both the numerator and denominator.
When x = -5, the denominator becomes zero, resulting in an undefined value for h(x).
However, by canceling out the common factor, we can simplify the function to h(x) = x - 2, which is defined and continuous at x = -5.
This indicates that there is a hole in the graph of h(x) at x = -5, where the function is undefined but can be "filled" by the simplified form.
On the other hand, the function g(x) = (3x - 2) / (x + 5) does not have a hole at x = -5 but rather has a vertical asymptote.
This is because even though both h(x) and g(x) have x + 5 as the denominator, the numerator of g(x) does not contain a common factor with the denominator that can be canceled out.
Therefore, when x = -5, g(x) is undefined due to division by zero. As x approaches -5 from either side, the denominator becomes arbitrarily close to zero, resulting in a vertical asymptote at x = -5.
This means that the graph of g(x) approaches infinity or negative infinity as x approaches -5, but the function is undefined at x = -5 itself.
In summary, the presence of a common factor between the numerator and denominator allows for cancellation and the creation of a hole in the graph of h(x) at x = -5.
In contrast, when there is no common factor to cancel, the function g(x) has a vertical asymptote at x = -5 due to division by zero.
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Help me with this it’s due tomorrow at 11 am
Answer:
I'm sorry i can't help with all of the math, I do know that the answer for the radius is 4 though.
Step-by-step explanation:
Solve for k.
8/9=12/k=?
Answer:
K=27/2
Step-by-step explanation:
Hope this helps!
Answer: k = 27/2 = 13 1/2 = 13.5
Step-by-step explanation: Brainliest? That answer is right. I just solved it
At the local deli, David bought two ginger ales and two bagels for $6.60. Sumaiya bought four ginger ales and three bagels for $11.70.
Find the exact cost of one bagel and one ginger ale.
PLS HELP
Step-by-step explanation:
let the ginger ales be $x and the bagels $y.
Case 1, 2x+2y=6.60 x+y=3.30 ......1
Case 2, 4x+3y=11.70. .....2
1, x+y=3.30...×4
2, 4x+3y=11.70...×1
1, 4x+4y=13.20
2, 4x+3y=11.70
(-) (-) (-)
____________
y=1.50
____________
now, placing the value of y in equation 1,
x+y=3.30
x+1.50=3.30
x=1.80
therefore, the exact cost of one bagel and one ginger ale is $1.50 and $1.80 respectively.
hope this helps you.
a circle is centered at the vertex of an angle, and the angle's rays subtend an arc that is 103.25 cm long. 1/360th of the circumference of the circle is 0.59 cm long. what is the measure of this angle in degrees?
The measure of this angle in degrees is 20.52 degrees.
Step by step explanation:Given data is,1/360th of the circumference of the circle is 0.59 cm long Arc length, s = 103.25 cm We need to find the measure of the angle in degrees. Since we know that, the angle subtended by an arc at the center of the circle is 2θ, where θ is the angle subtended by the arc at any point on the circumference of the circle.And the circumference of the circle is 360θ.
Hence, we can find the length of the circumference of the circle. Circumference of the circle = 360 × 0.59Circumference of the circle = 212.4 cmNow, we can find the radius of the circle.r = s/2πr = 103.25/(2 × π) = 16.441 cmDiameter of the circle = 2 × rDiameter of the circle = 32.882 cmThe circumference of the circle = πdCircumference of the circle = π × 32.882Circumference of the circle = 103.26 cm Now, we can find the angle of the circle. Angle of the circle = 360θ103.26 = 360θθ = 103.26/360θ = 0.286 degrees So, the measure of this angle in degrees is 20.52 degrees.
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help help help plz help answer this questioonnnn
Answer:
D
Step-by-step explanation:
goodluck!
Answer:
its the last one y=1/2 x - 4
Lewis is rolling a 10-sided die 250 times. Each side of the die is labeled with a number 1 – 10. Based on the theoretical probability, how many times would Lewis be expected to roll a multiple of 3?
25
30
75
83
Answer:
is 30 because 3 multiply by 10 is 30
A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t2 + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s. Which solution can be eliminated and why?
A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t² + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s.
the solution to be eliminated is -0.2s this is because time do not have negative values
What is a quadratic equation?ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a.
It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be real or complex.
Considering the given function, the answer is both real one is negative the other is positive.
The solution in this case represents time, and time of negative value do not apply in real life
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Find the reciprocal of each fraction.
1/2π
The reciprocal of the fraction 1/2π is 2π. To find the reciprocal of a fraction, we need to flip the numerator and denominator. In this case, we have the fraction 1/2π.
To find its reciprocal, we need to invert the fraction, which gives us π/2. However, if we want to simplify the reciprocal, we can multiply both the numerator and denominator by 2 to get 2π/4, which further simplifies to π/2. Thus, the reciprocal of 1/2π is 2π. In general, to find the reciprocal of any fraction a/b, we simply need to swap the numerator and denominator, resulting in the fraction b/a.
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2x + 3y = 12
2x - y = 4
Answer:
The point of intersection between 2x+3y=12 and 2x-y=4 is (3,2)
Step-by-step explanation:
Find the slope of the line that contains (10,-1) and (-8,6)
Answer:
the slope of the line that passes throught (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
given
(-4,3) and (-8,6)
slop=(6-3)/(-8-(-4))=(3)/(-8+4)=3/-4=-3/4
slope is -3/4
Step-by-step explanation:
Answer:
(y2-y1)/(x2-x1)
(6+1)/ (-8-10)
7/ -18 is the slope
Step-by-step explanation:
A boy is shopping at a sports store. He has $11 with which he wants to buy a t-shirt and some tennis
balls. The cost of the t-shirt is $5, and a can of tennis balls cost $2. Which number line represents the
number of cans of tennis balls he can buy?
Answer 3 cans of tennis balls unless there is tax
Step-by-step explanation:
Answer:
He can buy 3 cans of tennis balls sorry my brain is jacked today, so I am sorry if this is not enough
Step-by-step explanation:
please help, brainliest, five star, thanks
Answer:
-18+4
Step-by-step explanation:
try to multiply -6 into the (3x-2/3) then I guess you get the answer
Answer:
−18x+4
Step-by-step explanation:
A cellular service provider is expanding the number of cell towers it has in Marshall County. On a map of the towers, there are two that are 6 centimeters away from each other. The distance, in real life, is 3 kilometers. What is the map's scale?
Answer:
1 : 50000
Step-by-step explanation:
On the map, the two cell towers are 6 centimeters away from each other.
In real life, the two cell towers are 3 kilometers away from each other.
To find the scale of the map, we have to find the ratio of the distance between to two cell towers on the map and in real life.
Let us put both distance in the same unit, centimeters:
1 kilometer = 100000 centimeters
3 kilometers = 3 * 100000 centimeters = 300000 centimeters
Therefore, the ratio of both distances is:
6 : 300000
In lowest terms:
1 : 50000
That is the scale of the map.
The population for Rainbow City is 36,000. The growth rate is 3%. About how many people will it have after 5 years
Answer:
41,500 people
Step-by-step explanation:
First you find 3% of 36,000= 1,080
Then you do 1080 x 5= 4,500
Then finally do 36,000 + 4,500= 41,500
Bill is 4 years older than Harris, who is 5 years old. How old is Bill? Plot Bill’s age on the number line.
Answer:
9
Step-by-step explanation:
5+4=9