The total length of fences needed to surround the parks is 1500 feet. The length is calculated by adding up the lengths of all sides of both parks.
To find the total length of fences needed to surround the parks, we need to add up the lengths of all the sides of both parks.
For park RST, the total length of the fences needed is
RS + ST + RT = 230 + 350 + 230 = 810 ft
For park XYZ, since YX is congruent to XYZ, we can label YX as YZ for simplicity. The total length of the fences needed for park XYZ is
XY + YZ + XZ = YZ + YZ + 230 = 2YZ + 230
To find YZ, we can use the fact that park RST is congruent to park XYZ, so the corresponding sides are equal in length. This means YZ = RT = 230 ft.
Substituting this value, we get
2YZ + 230 = 2(230) + 230 = 690 ft
Therefore, the total length of fences needs to surround two parks with dimensions ARST XYZ and YX YZ is
810 + 690 = 1500 ft.
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--The given question is incomplete, the complete question is given
" The figure shows the dimensions of two city parks, where RST is congruent to XYZ and YX is congruent to XYZ. A city
employee wants to order new fences to surround both parks. What is the total length of the fences
required to surround the parks?
ST is 350 ft., XZ is 230 ft.
The total length of fences needed to surround the parks is ______
feet."--
What do you do if you get a decimal point while trying to find the mean
Answer:
you leave the decimal point In the answer.
Mark fires 500 arrows at a target on 457 occasions. Use this information to estimate the probability that he will hit the target with every shot when he fires:
A. 1 arrow
B. 2 arrows
C. 3 arrows
The probability that Mark would hit the target with every shot when he fires 1 arrow is 0. 914 arrows.
The probability that Mark would hit the target with every shot when he fires 2 arrows is 1. 8 arrows
The probability that Mark would hit the target with every shot when he fires 3 arrows is 2. 7 arrows
How to find the probability ?To find the probability that Mark is able to hit the target, look at the probability from when 500 arrows were fired :
= 457 / 500
= 0. 914
= 91. 4 %
If Mark fires 1 arrow, the probability that he hits the target is 0. 914 arrows:
If Mark fires 2 arrows, the probability that he will hit the target is 1. 828 arrows:
= 0. 914 x 2
= 1. 828
If Mark fires 3 arrows, the probability that he will hit the target is 2. 7 arrows:
= 0. 914 x 3
= 2. 7 arrows
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What fraction is equivalent to 75% of 1/3
Answer:
1/4
Step-by-step explanation:
c) Which brand of OJ (orange juice) is the better buy?
Brand A: $3.50 for 300 ml
Brand B: $6.80 for 650 ml
Answer:
Brand B
Step-by-step explanation:
Brand a will cost you more
In an orchard, there are 6 apple trees for every 4 pear trees. Create a ratio table to determine the number of apple trees in the orchard if there are 42 pear trees.
Answer:
Step-by-step explanation:42 divided by 6= 7 and then times 7 by 4 to get 28 which leaves you with the ratio 2:8
What method of studying divorce is likely being used if a researcher primarily gathers data from the Census and the General Social Survey
The method of studying divorce that is likely being used if a researcher primarily gathers data from the Census and the General Social Survey is a secondary data analysis approach. The secondary data analysis approach involves the use of pre-existing data, for instance, census data and the General Social Survey in this case.
The approach offers researchers a chance to use data that has been collected for other purposes but can answer their research questions without having to collect new data.Secondary data are widely utilized in social sciences as they save researchers time and money that would otherwise be utilized in collecting data themselves. In this case, using the census data and the General Social Survey data enables researchers to identify patterns of marriage and divorce in the population and come up with conclusions on how divorce affects society without collecting data themselves.
The data gathered from the census and General Social Survey provides information that may not be obtainable through other data collection methods, making the approach reliable.Using secondary data to research divorce has several advantages, such as;
The method is economical as it eliminates the cost of collecting new data. The census and General Social Survey data are relatively cheap and readily available.The method is time-saving since data is already collected. Researchers will not need to start the data collection process from scratch, hence reducing the amount of time needed to conduct research.
The method is reliable, and the data collected is of high quality since it has been gathered using standardized procedures. Also, the data gathered from the census is considered reliable since it covers the whole population.
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Factorise fully 6ac + 10ac
Step-by-step explanation:
6ac+10ac
2ac(6ac+10ac)
2ac(3+5)
x plus 2.7 is greater than or equal to 9.4
Answer:
X >= 6.7
Step-by-step explanation:
So first of all, what you need is write out the equation from the given prompt
x + 2.7 >= 9.4
Next, what you really want to do is
Subtract 2.7 both side
x >= 9.4 - 2.7
x >= 6.7
Work out th june salary that was received bythe tanker driver if he woked the entire month
The total salary received by the tanker driver if he worked the entire month would be equal to Rs. 19980 .
It is already given that the tanker driver worked for 5 and a half days for 9 hours daily, except on Saturday where they worked for half a day (which means 4.5 hours) and were paid double than the daily rate. It is also known that the month of June has 30 days. So calculating the number of working days, we get approximately 4 working weeks in which 20 days are week days and 4 days are Saturdays.
Total amount earned by the tanker driver = (No. of week days worked × Total hours worked × Rate of pay per hour) + (No. of working Saturdays × Total hours worked × Rate of pay per hour on Saturday)
Total amount earned by the tanker driver = (20 × 9 × 92.50) + (4 × 4.5 × 185)
Total amount earned by the tanker driver = 16650 + 3330 = 19980
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Refer to complete question below:
The driver of the water tanker works for 5½ days per week and 9 hours per day on week days except on Saturdays where they work for a ½ day (4.5 hours). The rate per hour was Rs. 92.50 and the rate of pay was doubled on Saturdays. Work out the June salary that was received by the tanker driver if he worked the entire month.
How do you get 4y-4x=16 into slope intercept form simplifying all fractions?
Please help with this math problem ASAP! Will give brainliest!
Answer:
x=16
y=23°
z=16
Step-by-step explanation:
we assume it is a kite.
\(NM=\sqrt{NQ^2+MQ^2} \\z=\sqrt{8^2+6^2} =\sqrt{64+36} =\sqrt{100} =10\)
∠NQM=90°
4y-2=90
4y=90+2=92
y=92/4=23°·
NP=2Nq
x=2×8=16
Choose the function whose graph is given by:-757ST373122A. y=tan(x-7) - 2B. y=tan(2(x+ π)) + 2C. y=tan(x-7)+2OD. y=tan(x + 2) - π-12h
Given:
There are given the graph of a tan function:
Explanation:
In the given graph, we can see that the vertical shift of the graph is 2 and the phase is:
\(\pi\)Then,
We can see that in option (C), the vertical shift is 2, and the phase shift is pi.
Final answer:
Hence, the correct option is C.
A university professor does not believe that there is really a difference between the GPA of male and female scholarship athletes, so he looks into how the sample was collected. His investigation shows that the study was given to all of the athletes on the basketball teams exclusively. Based on this information, should the university administration trust the results from this study?
a. Yes, because the results were significant
b. Yes, because a large enough sample was taken
c. No, because not every scholarship athlete part of the study
d. No, because the study was not taken from a random sample of scholarship athletes
Based on this information, No, the university administration should not trust the professor because the study was not taken from a random sample of scholarship athletes. Hence option C is correct.
According to the mentioned question, a university professor investigates how the sample was gathered since he does not think that there is a true difference in the GPA of male and female scholarship athletes. His inquiry reveals that the study was exclusively distributed to the basketball teams' athletes.
According to this data, the university administration shouldn't believe the professor because the study's participant pool did not consist of a representative sample of scholarship athletes.
The sample may not be representative of all university scholarship athletes since the study solely looks at basketball players. This may skew the results and make it challenging to extrapolate the conclusions to the larger group of scholarship athletes.
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given: δabc is a right triangle. prove: a2 + b2 = c2
In a right triangle, the Pythagorean theorem states that the square of the length of the side opposite the right angle (side AB) plus the square of the length of the side adjacent to the right angle (side BC) is equal to the square of the length of the hypotenuse (side AC).
In a right triangle, one of the angles is a right angle, which measures 90 degrees. Let's label the sides of the triangle as follows: AB is the side opposite to the right angle, BC is the side adjacent to the right angle, and AC is the hypotenuse, which is the side opposite to the remaining acute angle.
According to the Pythagorean theorem, in any right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the hypotenuse. Mathematically, it can be expressed as:
A\(B^{2}\) + B\(C^{2}\) = A\(C^{2}\)
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P(A) = 0.50, P(B) = 0.40, and P(A and B) = 0.15.
What is P(A or B)?
From the concept of algebra of venn diagram we obtain that
P(A or B) = 0.75.
A set is a collection of well-defined objects.
A subset contains all the elements or few elements of the given set.
The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.
From set theory, we know that N(A∪B) = N(A) + N(B) - N(A∩B).
It states that N(A) or N(B) is the sum of N(A) and N(B) minus the common intersecting region N(A∩B) as we have already considered the region in the sum of N(A) and N(B) twice.
Similarly, P(A or B) = P(A) + P(B) - P(A∩B)>
Therefore, P(A or B) = 0.50 + 0.40 - 0.15.
P(A or B) = 0.90 - 0.15.
P(A or B) = 0.75.
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The science club went on a two-day field trip. On the first day, the members paid $60 for transportation plus $15 per ticket to the planetarium. On the second day, they paid $95 for transportation plus $12 per ticket to the geology museum. Write an expression to represent the cost for two days for the "n" members of the club.
Answer:
Total cost for two days for the n members of the club = 155 + 27 n
Step-by-step explanation:
Answer:
155
60+95=155. you have to take day one and add day 2 and there is your answer
There are seven houses, each containing seven cats. Each cat kills seven mice, each mouse would have eaten seven ears of corn. Each ear of corn would have produced seven sacks of grain. What is the total number of all of these items?
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The total number of all these items is 19,607.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
There are seven houses, each containing seven cats.
Number of house = 7Number of cars = 7 x 7 =49Each cat kills seven mice.
Number of mice = 49 x 7 = 343Each mouse would have eaten seven ears of corn.
Number of Ears of corns = 343 x 7 = 2401Each ear of corn would have produced seven sacks of grain.
Number of sack of grains = 2,401 x 7 = 16,807Now, the total number of all these items is,
Total number of items
= Number of house + Number of cars + Number of mice + Number of ears of corns + Number of sack of grains
= 7 + 49 + 343 + 2401 + 16807
= 19,607
Hence, the total number of all these items is 19,607.
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What is the slope of the line?
Answer:
The slope is 0.5 or (1/2)
Step-by-step explanation:
Find the rise over run.
from -3 to -1 and 2 to 3 rises 1 runs 2 so then you divide 1/2 and get 0.5.
Heights of four-year-olds are Normally distributed, with a mean of 40 inches and a standard deviation of 3 inches. At
his four-year checkup, Marlon's height is measured as taller than 70% of boys his age. How tall is Marlon?
Find the z-table here.
O 38.4 inches
O 41.6 inches
0 42.5 inches
0 43.8 inches
Answer:
41.6 inches
Step-by-step explanation:
edge 2021
Use linear approximation to estimate the following quantity. Choose a value of a to produce a small error.
3√34
Therefore, using linear approximation with a chosen value of a = 27, the estimated value of 3√34 is approximately 40.5.
To estimate the quantity 3√34 using linear approximation, we can choose a value of a that is close to 34 and for which we can easily calculate the cube root. Let's choose a = 27, which is close to 34 and has a known cube root of 3:
Cube root of a = ∛27 = 3
Now, we can use linear approximation with the formula:
f(x) ≈ f(a) + f'(a)(x - a)
In this case, our function is f(x) = 3√x, and we want to approximate f(34). Using a = 27 as our chosen value, we have:
f(a) = f(27) = 3√27 = 3 * 3 = 9
To find f'(a), we differentiate f(x) = 3√x with respect to x:
f'(x) = (1/2)(3√x)^(-1/2) * 3 = (3/2√x)
Evaluate f'(a) at a = 27:
f'(a) = f'(27) = (3/2√27) = (3/2√3^3) = (3/2 * 3) = 9/2
Plugging these values into the linear approximation formula, we have:
f(x) ≈ f(a) + f'(a)(x - a)
3√34 ≈ 9 + (9/2)(34 - 27)
3√34 ≈ 9 + (9/2)(7)
3√34 ≈ 9 + (63/2)
3√34 ≈ 9 + 31.5
3√34 ≈ 40.5
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pls help asap if you can!
The value of X from the similar triangles above would be = 4. That is option B.
How to determine the value of missing part of the similar triangles?To determine the value of X from the missing part of the similar triangles, the formula that should be used is given below as follows:
VR/VU = VQ/VT
Where;
VR = 33
VU = 44
VQ = 8x-2
VT = 40
That is;
33/44 = 8x-2/40
33×40 = 44(8x-2);
1320 = 352x-88
1320+88 = 352x
1408 = 352x
X = 1408/352
= 4.
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i will give u brainliest
Answer:
1 39 > 39 - 2
2 28 + 11 < 310
3 7 * 8 = 56
Hope this helps :)
Please mark me as Brainliest
A spinner is spun 80 times.
Red
Red
Blue
Blue
Red
White
Blue
Blue
1 How many times would you expect the spinner to NOT land on white if the spinner is
spun 80 times?
Record your answer and fill in the bubbles on your answer document. Be sure to use
the correct place value.
Answer:
70
Step-by-step explanation:
a zoo membership increases 2% each year. if your cost of membership for the first year is $80, how much would you spend on a membership over 20 years?
ANSWER:
To calculate the money spend on a membership,Assuming a 2% increase each year, the cost of the zoo membership for the second year would be $81.60 (which is $80 + 2% of $80). For the third year, it would be $83.23 (which is $81.60 + 2% of $81.60). This pattern would continue for each subsequent year.
To calculate the total cost of the membership over 20 years, you can use the formula for the sum of a geometric series:
Total cost = a(1 - r^n) / (1 - r)
where:
a = initial cost = $80
r = common ratio = 1.02 (since the cost is increasing by 2% each year)
n = number of years = 20
Plugging in the values, we get:
Total cost = 80(1 - 1.02^20) / (1 - 1.02)
Total cost = $1,978.16
Therefore, you would spend a total of $1,978.16 on a zoo membership over 20 years if the cost increases by 2% each year starting from an initial cost of $80.
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You would spend $1943.79 on a membership over 20 years.
To calculate the total cost of a zoo membership over 20 years, considering a 2% annual increase, we can use the formula for the sum of a geometric series:
Sum = \(a * (1 - r^n) / (1 - r),\)
where:
a is the initial cost of the membership,
r is the common ratio (1 + annual increase rate),
n is the number of years.
In this case, the initial cost of the membership (a) is $80, the annual increase rate is 2% (or 0.02), and we want to calculate the total cost over 20 years (n = 20).
Let's substitute these values into the formula:
Sum = \(80 * (1 - (1 + 0.02)^2^0) / (1 - (1 + 0.02)).\)
Calculating this expression:
Sum = \(80 * (1 - 1.02^2^0) / (1 - 1.02)\)
≈ 80 * (1 - 1.485947) / (-0.02)
≈ 80 * (-0.485947) / (-0.02)
≈ 80 * 24.29735
≈ 1943.788
Therefore, you would spend approximately $1943.79 on a zoo membership over 20 years.
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if the researcher knows that the mean is 60 and the standard deviation is 6, then the majority of the scores falling between 1 or -1 standard deviation of the mean fall between:
If the researcher knows that the mean is 60 and the standard deviation is 6, then it can be concluded that the majority of the scores will fall within 1 standard deviation above or below the mean. This is because the standard deviation is a measure of how spread out the data is from the mean.
In this case, a standard deviation of 6 means that the majority of the scores will fall between 54 and 66 (60 plus or minus 6). This also means that approximately 68% of the scores will fall within this range. However, it's important to note that there will still be some scores outside of this range. The standard deviation of the mean can be calculated by dividing the standard deviation by the square root of the sample size. This value will indicate the variability of the sample means.
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imagine if adam sandler died:(
Answer:
its a good photo I would miss him so much if it was true
Please help I need this ASAP please
Answer:
235 sq. cm
Step-by-step explanation:
Split into three different shapes
18*3=54
15*6=90
13*7=91
54+90+91=235
A student uses the equation tan theta= s^2/49 o represent the speed, s, in feet per second, of a toy car driving around a circular track having an angle of incline theta where sin theta =1/2
After finding the value of theta, the speed of the toy car driving around the circular track with an angle of incline theta, where sin(theta) = 1/2, is equal to √(7√3) feet per second.
The equation tan(theta) = s^2/49 represents the speed, s, in feet per second, of a toy car driving around a circular track with an angle of incline, theta, where sin(theta) = 1/2.
To solve this problem, we need to use the given information about sin(theta) to find the value of theta. Since sin(theta) = 1/2, we can determine that theta is equal to 30 degrees.
Now that we know the value of theta, we can substitute it into the equation tan(theta) = s^2/49. Plugging in 30 degrees for theta, the equation becomes tan(30) = s^2/49.
The tangent of 30 degrees is equal to √3/3. So, we have √3/3 = s^2/49.
To solve for s, we can cross multiply and solve for s^2. Multiplying both sides of the equation by 49 gives us 49 * (√3/3) = s^2.
Simplifying, we get √3 * 7 = s^2, which becomes 7√3 = s^2.
To find the value of s, we take the square root of both sides. So, s = √(7√3).
Therefore, the speed of the toy car driving around the circular track with an angle of incline theta, where sin(theta) = 1/2, is equal to √(7√3) feet per second.
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Which best represents the solution to this system of equations?
Answer:
a. (3,-2) that is the answer
, I already study this lesson
2. Meredith deposits $150 into her bank account. With the deposit, she now has over $500 in her account. What expression could be used to find x, the original balance before the deposit was made?
Answer:
150 + x>350
Step-by-step explanation:
Its not an expression but idc