Given that the two pentagons are similar figures, the area of the pool = 675 sq. m..
What is the Area of Similar Figures?If two figures are similar to each other, then, the ratio of the square of their corresponding sides equals the ratio of their areas.
We are given that the pool and the park are similar to each other. The diagram given is missing, however, here's how to find the area of the pool:
If x is a side of the pool and y is the corresponding side length of the park, therefore:
area of pool/area of park = x²/y².
Plug in the values given, cross multiply and find the area of the pool.
For example, if 3 is a side of the pool = x
6 is corresponding side of the park = y
Area of park = 2,700 sq. m
Thus:
Area of pool/2,700 = 3²/6²
Area of pool/2,700 = 9/36
Area of pool = (9 × 2,700)/36
Area of pool = 675 sq. m.
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Please help me, i need the answers ASAP! (With proper steps please)
a) 35 x 13 + 3.14 x [tex]\frac{13}{2}[/tex]²
= 455 + 3.14 x 42.25
= 455 + 132.665
= 587.665 m²
∴ The area is 587.665 m².
A car travels 60 km at 30 km/hr and then a further 180 km at 160 km/hr. Find the total time taken.
Answer: 76.8km/hr
Explanation:
PT1
sp1 - 30km/hr
d1 - 60km
60 divided by 30 = 2hrs
PT2
sp2 - 160km/hr
d2 - 180km
180 divided by 30 = 1hr, 7min, 30sec (1.125)
PT3
Total Time Taken - 2hrs + (1:07:30) 1.125 = 3.125hrs
Avg. Speed - (60km + 180km) divided by 3.125hrs
60km + 180km = 240
240km divided by 3.125 = 76.8km/hr
Answer both ASAP! please do correctly
Answer:
1. the discriminant is 4
the number of solutions 0
solutions 0
2.the discriminant is 0
i couldn't find any solutions
Step-by-step explanation:
1) Which expression is a DIFFERENCE?
A) (6 - 4) x 5
B) 6 - (4 x 5)
9) 8 + (5 - 2)
D) (6 - 4)(3 - 1)
Answer:
B, a difference is a result of subtraction
A company makes wax candles shaped like rectangular prisms. Each candle is 7 cm long, 2 cm wide, and 10 cm tall. If the company used 5740 cm of wax, how
many candles did they make?
Answer:
They made 41 candles.
Step-by-step explanation:
v=l×w×hv=10×7×2v=140 cm cubedlastly I divided 5740 by 140 ( the volume of one candle)therefore I got 41 candles were made from 5740 cm cubed of wax
The tip of the minute hand of a clock is 14cm from the centre of the clock. Find in metres the distance travelled by the tip of the minute hand of the clock in 3 hours
pls help :')
Answer:
263.76cm
Step-by-step explanation:
r = 14cm
2πr = circumference = distance traveled in 1 hour
3(2πr) = 3x28xπ
π=3.14
= 84x3.14 = 263.76cm
HOPE THIS HELPS!!!
Answer:
2.6 m
Step-by-step explanation:
The minute hand on an oldfashioned (analog) clock will go completely around the clock 3 times in three hours.
The clock is a circle.
The length of the hand is the radius.
The distance around a circle is the circumference (it is perimeter for a circle!)
Circumference
= (pi)•d OR
= 2(pi)r
So the distance all the way around the clockface ONE TIME
is C = (pi)d = 2(pi)r =(3.14)28
= 87.96459 m
But in three hours it goes around three times.
3(87.96459)
= 263.89378
BUT this is cm and they asked for meters. So divide by 100, because there's 100 cm in a meter.
263.89378/100
~= 2.6 meters
A survey finds that 40% of students ride in a car to school. Eri would like to estimate the probability that if 3 students were randomly selected, only 1 rides in a car. To simulate this probability, she lets the numbers 0, 1, 2, and 3 represent a student who rides in a car to school and then 4, 5, 6, 7, 8, and 9 represent a student who does not ride in a car to school. She then has a computer randomly select 3 numbers. She repeats this process for 20 trials. The results of these trials are shown in this list. 468, 380, 120, 220, 553,945, 935, 607, 473, 490,074, 981, 692, 518, 408,954, 943, 389, 594, 569 Based on this simulation, what is the estimated probability that only 1 of 3 randomly selected students rides in a car to school? Enter your answer, as a decimal, in the box.
The estimated probability that only 1 of 3 randomly selected students rides in a car to school is 0.6.
Given
A survey finds that 40% of students ride in a car to school.
Eri would like to estimate the probability that if 3 students were randomly selected, only 1 ride in a car.
ProbabilityProbability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
The total number of trials is 20, and a number of 1 student trial = 12.
The estimated probability that only 1 of 3 randomly selected students rides in a car to school is;
[tex]=\dfrac{20}{12}\\\\= 0.6[/tex]
Hence, the estimated probability that only 1 of 3 randomly selected students rides in a car to school is 0.6.
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Answer:
0.60
Step-by-step explanation:
Took the k12 test
For each pair of numbers, tell: By what percent of the first number is the second number larger? By what percent of the second number is the first number smaller? 5 and 10
Answer:
Part A: 100%
Part B: 50%
Step-by-step explanation:
The difference between 10 and 5 is 5
5 is 100% of 5, so 10 is 100% greater than 5 (part A)
5/5 = 1 = 100%5 is 50% of 10, so 5 is 50% less than 10 (part B)
5/10 = 1/2 = 50%Part A is 100%, and Part B is 50%
-Chetan K
Answer:
10 is 100% greater than 5
5 is 50% less than 10
Step-by-step explanation:
big brain
What is the completely factored form of the expression 16x2 8x 32?.
Answer:
32x146
Step-by-step explanation:
tha is fctored form
Which function has the following domain and range?
Domain: {-5, - 3,0, 3, 11}
Range: { - 4,0, 2}
Answer:
The required function has domain and range is (4,1),(−3,−5),(12,2),(0,−5),(−7,1)}{(4,1),(−3,−5),(12,2),(0,−5),(−7,1)}
Given that,
Domain: {−7,−3,0,4,12}{−7,−3,0,4,12}
Range: {−5,1,2}{−5,1,2}
We have to find,
The function has the following domain and range.
According to the question,
The domain refers to the set of possible input values. The domain of a graph consists of all the input values shown on the x-axis.
The range is the set of possible output values shown on the y-axis.
The domain of the function is the set R
Range: The absolute value function results in a non-negative value always.
Then, Function has domain and range is {(4,1),(−3,−5),(12,2),(0,−5),(−7,1)}{(4,1),(−3,−5),(12,2),(0,−5),(−7,1)}
Hence, The required function is (4,1),(−3,−5),(12,2),(0,−5),(−7,1)}{(4,1),(−3,−5),(12,2),(0,−5),(−7,1)}
For the more information about Range and Domain click the link given below.
Step-by-step explanation:
What is the answer to five??
Answer:
y = 56000 + 14000x
Step-by-step explanation:
Let x = number of years after 2020
Let y = number of miles on odometer
Given:
Car has traveled 56000 by January 1, 2020Car travels 14000 miles each yeary = 56000 + 14000x
Anyone know what 2x - 30 is?
Answer:
2(x-15)
Step-by-step explanation:
First we must factor 2x-30Next, we 30 as 2*15Lastly we factor out the common term, which leaves us with 2(x-15)On the first 7 statistics tests of the semester, scored 61, 76, 79, 80, 80, 84, and 91. The mean,
median, and mode of his scores were 79, 80, and 80,
respectively. On the 8th statistics test, Jamal scored 90. How do the mean, median, and mode of all 8 of his )
scores compare to the mean, median, and mode of his
first 7 scores?
Angela is comparing the amount of rainfall over the past month in two cities on days when it rained. In City 1, the range in rainfall is 4.5 centimeters and the interquartile range (IQR) is 1.5 centimeters. In City 2, the range is 5 centimeters and the IQR is 3 centimeters. What might you conclude about the cities based on the ranges and interquartile ranges?
The conclusion about the cities based on the ranges and interquartile ranges are;
The rainfall amounts on days when it rains have greater variability for City 2 than those for City 1.
What is interquartile range and range?
The interquartile range (IQR) is defined as the length of the middle 50% of that interval of a particular space. The way the IQR is calculated is the difference between the third or upper quartile and the first or lower quartile.
Meanwhile the range is the difference between the highest and lowest value.
Looking at the question, we can say that The rainfall amounts on days when it rains have greater variability for City 2 than those for City 1.
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Answer: The rainfall amounts on days when it rains are greater variability for city 2 than those for city 1
Step-by-step explanation:
This was a question on my test your welcome
413, 405, 397,. Find the 48th term.
giving brainliest
Answer:
37.
Step-by-step explanation:
Find the pattern and write the general term: a_n = - 8 n + 421Substitute and calculate: a_48 = 37Ans.
Use a translation rule to describe the translation of ABC that is 6 units to the right and 10 units down.
Answer:
(x, y ) → (x + 6, y - 10 )
Step-by-step explanation:
6 units right is + 6 in the x- direction
10 units down is - 10 in the y- direction
the translation rule is
(x, y ) → (x + 6, y - 10 )
Explain how to evaluate the expression 8x2 + 25y, when x = 3 and y = 2
Answer:
122
Step-by-step explanation:
substitute x = 3 and y = 2 into the expression
8x² + 25y
= 8(3)² + 25(2)
= 8(9) + 50
= 72 + 50
= 122
Prove that in a right triangle, the side that is opposite to a 30 degree angle = 1/2 hypotenuse.
Giving brainliest (if possible) + 60 pts.
Answer:
This can be proved in a number of different ways, but the simplest is to use the sine trig ratio:
[tex]sin(\theta)=\dfrac{O}{H}[/tex], where [tex]\theta[/tex] is the angle, O is the side opposite the angle and H is the hypotenuse.
Given the angle is 30°:
[tex]\implies sin(30)=\dfrac{O}{H}[/tex]
[tex]\implies \dfrac12=\dfrac{O}{H}[/tex]
[tex]\implies O=\dfrac12H[/tex]
Factor completely 18x2 − 21x −15. 3(2x 1)(3x − 5) 3(2x − 5)(3x 1) 3(2x − 1)(3x 5) 3(6x 1)(x − 5).
The factor of the [tex]18x^{2} -21x-15[/tex] will be 3(3x-5)(2x+1).
What will be the factor of [tex]18x^{2} -21x-15[/tex] ?Given quadratic equation is [tex]18x^{2} -21x-15[/tex]
By taking 3 common from whole of the equation it becomes.
[tex]3(6x^{2} -7x-5)[/tex]
now by factorization equation will be.
[tex]3(6x^{2} -10x+3x-5)[/tex]
3[(2x(3x-5)+1(3x-5)]
Taking (3x-5) common from whole equation it will become
3(3x-5)(2x+1).
Hence the factor of the [tex]18x^{2} -21x-15[/tex] will be 3(3x-5)(2x+1).
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Suhana studies in a government school. The strength of the school is 12000, out of which 40% are girls. In her class there are 50 children and 20 are boys.
In the month of January, 1500 students are taken on an educational trip to a museum. Arrangements are made for eatables. It is found that 30% prefer a veg. burger, 40% prefer a non-veg burger and 20% would like a mini-pizza.
Suhana and her friends plan some games and fun activities. At the end, they all have a memorable trip.
Suhana walks 30 minutes to her school everyday. Her father who is a farmer decides to buy her a bicycle.
He has a cow and a buffalo on his farm. The two animals had cost him Rs 1800 and Rs 2400 respectively. Selling the cow will fetch him a profit of 10% whereas on the buffalo he will suffer a loss of 5%
He decides to sell his buffalo. The next day, he goes to the market and completes the deal.
The bicycle which costs Rs 900 is sold by the shopkeeper for Rs 1008.
Suhana’s father deposits Rs 1200 of the remaining amount in the bank at 9% p.a. for 3yrs.
Suhana is grateful to her father and works very hard as she realizes the sacrifices her parents make for her.
2.Q1. The percentage of boys in Suhana’s school is
a) 30%
b) 60%
c) 40%
d) 50%
3.Q2. Find the ratio of number of girls to number of boys in her class.
a) 2:3
b) 3:4
c) 3:5
d) 3:2
4.Q3 .How many students going for the trip prefer a veg burger?
a) 300
b) 450
c) 400
d) 350
5.Q4. 20% in decimal form is ________
a) 0.2
b) 0.02
c) 2.0
d) 0.002
0.6 written in percentage form is________
a) 600%
b) 65%
c) 60%
d) 6%
7.Q6. Suhana’s father incurs a loss of Rs_______ on the buffalo.
a) Rs.120
b) Rs.140
c) Rs.100
d) Rs.130
Explain how the distance formula can be used to find the diameter of a circle?
Answer: A line segment connecting two points on the circle and going through the center is called a diameter of the circle. ... Use the Distance Formula to find the equation of the circle. √(x2−x1)2+(y2−y1)2=d. Substitute (x1,y1)=(h,k),(x2,y2)=(x,y) and d=r .
Try to factor the number 20
Answer:
1, 2, and 5
Step-by-step explanation:
20
= 4 x 5
= 2 x 2 x 5 x 1
=> Factors of 20 are 1, 2, and 5
Given f(x)= 3x+(1/4), Find f(1) and f(-1)
Answer:
[tex]f(1)=\frac{13}{4}[/tex]
[tex]f(-1) = -\frac{11}{4}[/tex]
Step-by-step explanation:
Given f(x) = 3x + (1/4), Find f(1) and f(-1)
[tex]f(x) = 3x + (1/4)[/tex]
[tex]f(1) = 3(1) + (1/4)[/tex]
[tex]f(1) = 3 + (1/4)[/tex]
[tex]f(1) = 3 + (1/4)[/tex]
[tex]f(1)=3\frac{1}{4}[/tex]
[tex]f(1)=\frac{13}{4}[/tex]
[tex]f(x) = 3x + (1/4)[/tex]
[tex]f(-1) = 3(-1) + (1/4)[/tex]
[tex]f(-1) = -3 + (1/4)[/tex]
[tex]f(-1) = -\frac{12}{4} +\frac{1}{4}[/tex]
[tex]f(-1) = -\frac{11}{4}[/tex]
Hope this helps!
4(2m - 5) = 2(3m-4)
Whats the value of m?
Step-by-step explanation:
Use the Distributive Property:
[tex]8m - 20 = 6m - 8[/tex]
Subtract 6m from both sides:
[tex]2m - 20 = - 8[/tex]
Add 20 to both sides:
[tex]2m = 12[/tex]
Divide each side by 2:
[tex]m = 6[/tex]
Answer:m=6
Step-by-step explanation:
Two trains, train A and train B,weigh a total of 240 tons. Train A is heavier than train B. The difference of their weights is 70 tons. What is the weight of each train?
Answer:
Train A : 155 tons ; Train B : 85 tons
Step-by-step explanation:
Call train A as A, train B as B
A + B = 240t
A - B = 70t
Add these 2 together, we get :
A + B + A - B = 310t
2A = 310t (B-B = 0)
So, A = 155
B = 240 - 155 = 85
What is the value of angle X and angle Y in the triangle diagram below?
Sum of two interior angles=exterior angle
[tex]\\ \rm\Rrightarrow 45+65=y[/tex]
[tex]\\ \rm\Rrightarrow y=110[/tex]
Linear pairs have sum 180[tex]\\ \rm\Rrightarrow x+y=180[/tex]
[tex]\\ \rm\Rrightarrow x+110=180[/tex]
[tex]\\ \rm\Rrightarrow x=70[/tex]
Izzys family has orange trees in their yard they picked 126 oranges they kept 10 oranges for themselves and shared the rest evenly among 4 other families which equation can be used to determine n, the number of oranges each of the other families received?
Answer:
Each gets 29 oranges
Step-by-step explanation:
126 - 10 = 116
116÷4 = 29
The equation is 4n + 10 = 126 and each family gets 29 oranges.
What is an equation ?Equation in mathematics implies equating two same quantities of different form.
According to the given question
Izzys family has orange trees in their yard they picked 126 oranges they kept 10 oranges for themselves and shared the rest evenly among 4 other families
So after keeping 10 oranges for themselves they have 116 oranges.
Now they share this to 4 families evenly
∴ 4n = 116
n = 116/4
n = 29
So, each family gets 29 oranges.
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PLEASE HELP !!!!!!! I do not understand
Answer:
The second set or second one.
Step-by-step explanation:
(-1,1)
(-3,-1)
(-2,-4)
(2,-2)
The negative numbers becomes positive
The positive numbers becomes negative, if you compare the coordinates, before & after.
Hope this helps!
A circular patio has a diameter of 12 feet. Holly is stringing lights around the edge of the patio. Approximately how many feet of stringed lights does Holly need? Use 3.14 for π.
Answer:
37.68
i took the test hope this helped
Quadrilateral MNOP has vertices M(-3,4), N(-1,4), O(4,-5), P(2,-5). What is the approximate perimeter of the quadrilateral?
Answer Choices:
A. 15 units
B. 18 units (Found out it was wrong)
C. 22 units
D. 25 units
*PLEASE HELP ME WITH THIS! (ONLY IF YOU CAN!)*
The perimeter of a shape is the sum of its side lengths
The perimeter of the quadrilateral is approximately 25 units
How to determine the perimeterThe vertices of the quadrilateral MNOP are given as:
M = (-3,4)
N = (-1,4)
O = (4,-5)
P = (2,-5)
Start by calculating the lengths of the side lengths using the following distance formula
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]MN = \sqrt{(-1 +3)^2 + (4 -4)^2} = 2[/tex]
[tex]NO = \sqrt{(4+1)^2 + (-5 -4)^2} \approx 10.3[/tex]
[tex]OP = \sqrt{(2-4)^2 + (-5 +5)^2} =2[/tex]
[tex]PM = \sqrt{(-3-2)^2 + (4+5)^2} \approx 10.3[/tex]
The perimeter is then calculated as:
[tex]P = 2 + 10.3 + 2 +10.3[/tex]
Add
[tex]P = 24.6[/tex]
Approximate
[tex]P = 25[/tex]
Hence, the perimeter of the quadrilateral is approximately 25 units
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