What is the angle, in degrees, if the Area is 180 square miles and the radius is 42,240 feet?
Step-by-step explanation:
the area of a circle (all 360°) is
pi×r²
with r being the radius.
the area of a circle segment is just the corresponding fraction of the whole circle.
so the area of a segment of x degrees is
pi×r² × x/360
in our case we know
pi×42240² × x/360 = 180 mi²
we also know that there are 5280 ft in 1 mile.
so, the radius is actually
42240 / 5280 = 8 miles
and therefore our equation resulting in mi² has to use miles and not ft and has to look that way :
pi×8² × x/360 = 180 mi²
pi×64 × x/360 = 180
pi×64 × x = 180×360
pi×x = 180×360/64 = 1012.5
x = 1012.5/pi = 322.2887598...°
so, the angle of the segment of a circle with the area of 180 mi² and the radius of 8 mi is 322.2887598...°
BRAINILEST PLZZZZZzzzzz
Answer:
Base:3
Height:5
Area= 15
Step-by-step explanation:
Formula=BxH
3x5=15
Fernando is 6 feet tall.if 1 inch is approximately 2.54 cm,what is fernandos height in cm.
Answer:
182.88cm
Step-by-step explanation:
i looked it up
Answer:
Step-by-step explanation:
Maybe try to multiply or divide.
Simplify the expression
10x-4-7x-3
Answer:
3 x − 7
Step-by-step explanation:
Line t has an equation of y = -1/2 x + 7. Line u is parallel to line t and passes through
(4, -6). What is the equation of line u?
Answer:
y = -1/2x - 4
Step-by-step explanation:
Let equation of line u be y = mx + c
since line t and line u are parallel, slope/gradient of both lines are the same (aka m = -1/2)
sub (4, -6):
-6 = -1/2(4) + c
c = -4
therefore, equation of line u is y = -1/2x - 4
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Solve for x
A
6
с
3
B
3
E
x
D
If the two figures are congruent, which statement is true?
A. BCDA ≅ FEHG
B. ABCD ≅ EFGH
C. BADC ≅ EFGH
D. ADCB ≅ HGFE
Answer:
A
Step-by-step explanation:
the order of letter should resemble the same shape
What is 5 x 6 + 12 - 4 x 2 ?
Answer:
the answer its 34
Step-by-step explanation:
5x6 =30+ 12=42-8= 34
2(2x + 3) = 4x + 7
Does it have infinite solutions, one solution, or none?
Answer:
None
Step-by-step explanation:
Distribute the 2 to the parentheses:
2(2x + 3) = 4x + 7
4x + 6 = 4x + 7
Subtract 4x from both sides:
6 = 7
6 \(\neq\) 7
This not true, since 6 can never be equal to 7.
This means there are no solutions
Answer: No solution
Step-by-step explanation: 2(2+3)=4+7/ has no proper input.
What is the volume of a cylinder in the terms of pi? The radius is 4in and the height is 3in. Round to the nearest tenth as needed.
Answer:
48pi in.^3
Step-by-step explanation:
Volume of cylinder: pi * r^2 * h
pi * (4)^2 * 3
pi * 16 * 3i
48pi in.^3
View Policies Current Attempt in Progress Using the information provided in the table, the network diagram and the project completion time = 25 weeks, reduce the completion time of the project by 5 we
Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.
To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.
To achieve a reduction of 5 weeks, we can consider several strategies:
1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.
2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.
3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.
4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.
It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.
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...
2. Dianna can carry up to 15 lbs in her backpack.
Her lunch weighs 1 lb, her gym shoes weigh
2 lbs, and her books weigh 1.5 lbs each. Which
inequality shows how many books Dianna can
carry in her bag if she has her lunch and gym
shoes?
O A. 3 + 1.5b < 15
B. 1.5 + 3b < 15
C. 3 + 1.5b > 15
D. 1.5 + 3b < 15
Answer:
Answer is A. 3 + 1.5 b < 15.
Step-by-step explanation:
Look at the problem carefully. Variable (b) represents books, and it states that the books weigh 1.5 lbs each. So you add her lunch (1 lb) and her shoes (2 lbs) to get 3 lbs. Once you add it together, it's less than (<) 15 lbs.
I tried to make this as understandable as possible, hope it helps.
seven college students have applied for internships at a local firm. four of them will be selected for interviews. part: 0 / 20 of 2 parts complete part 1 of 2 in how many ways can four students be selected for interviews? there are ways that four students can be selected for interviews.
There are 35 possibilities (probability) to choose the four individuals who will be interviewed out of the seven college students that have applied for internships at a local company.
The field of mathematics known as probability studies numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, with 0 generally signifying the event's impossibility and 1 generally signifying its certainty. As an event's probability rises, so does the possibility that it will happen. An easy example is tossing a coin in a fair (unbiased) manner. Since the coin is fair and there are no other possible outcomes, the probability of either "heads" or "tails" is half, indicating that both possibilities are equally likely.
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A street map of Permu Town is given below. You arrive at the Airport at A and wish to take a Lyft to Phoenix's house at P. The Lyft driver, being an honest sort, will take a route from A to P with no backtracking, always traveling south or east.
(a) How many such routes are possible from A to P?
(b) If you insist on stopping off at the Chipotle at C, how many routes can the Lyft driver take from A to P?
(c) If wish to stop off at both the Chipotle at C and the Sonic at S, how many routes can your Lyft driver take?
Given statement solution is :- (a) 1 route is possible from A to P.
(b) 1 route is possible from A to P with a stop at C.
(c) 1 route is possible from A to P with stops at both C and S.
To determine the number of possible routes from point A to point P, we can use the concept of combinations and permutations. Assuming each intersection on the map is a distinct point, and the driver can only travel south or east, we can consider this as a grid problem.
(a) Without any additional stops:
In this case, the driver can only travel south or east until they reach point P. Since the driver cannot backtrack, there is only one path to reach point P from A. Therefore, the answer to part (a) is 1.
(b) If you insist on stopping off at the Chipotle at C:
In this case, the driver needs to pass through point C before reaching point P. We can break down the problem into two parts: the number of routes from A to C and the number of routes from C to P.
From A to C:
Since the driver can only travel south or east, there is only one path to reach point C from A.
From C to P:
Similarly, there is only one path to reach point P from C.
Therefore, the answer to part (b) is 1 (from A to C) multiplied by 1 (from C to P), which equals 1.
(c) If you wish to stop off at both the Chipotle at C and the Sonic at S:
In this case, we can again break down the problem into three parts: the number of routes from A to C, the number of routes from C to S, and the number of routes from S to P.
From A to C:
There is one path from A to C.
From C to S:
Since the driver can only travel south or east, there is only one path from C to S.
From S to P:
Similarly, there is only one path from S to P.
Therefore, the answer to part (c) is 1 (from A to C) multiplied by 1 (from C to S) multiplied by 1 (from S to P), which equals 1.
In summary:
(a) 1 route is possible from A to P.
(b) 1 route is possible from A to P with a stop at C.
(c) 1 route is possible from A to P with stops at both C and S.
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The following question has two parts. First, answer part A. Then, answer part B.
Use the model to answer the questions.
A rectangle is divided into two sections by a vertical line. The left section is labeled inside with 260. The right section is labeled inside with B. The left edge of the rectangle is labeled 13. Across the top outside of the rectangle, the sections are labeled A tens, a plus sign above the vertical line, and C.
Part A
Carter wants to use the model above to solve 273÷13. Explain how he would find parts A, B, and C of the model.
Part B
The final quotient for 273÷13 is
The knowledge of place value helped in solving 273÷13 with a rectangular model developed by Carter
The part labelled A is 26 tens
The part labelled B is 13 units
The part labelled C is 13 ones
How to determine parts A, B, and C using rectangular model developed by Carterinformation given in the question
A rectangle is divided into two sections by a vertical line
The left section is labeled inside with 260
The left edge of the rectangle is labeled 13
other information is in the attached diagram
How to used the model
Carter's model is a rectangle of length 273 and breadth 13.
273 / 13 = 21
This means that dividing the length into 13 places each unit is 13
273 - 13 = 260
hence the 260 represents 20 units, since one unit is subtracted
The knowledge of place value help to get the numbers to be arranged in tens and ones
putting the numbers in tens is done by dividing by 10
= 260 / 10
= 26
hence, A in tens is equivalent to 26
putting the numbers in ones is dine by dividing by 1
C = 13 / 1
C = 13 ones
a unit is 13, B = 13
B covers same space as C so they are equal
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an isosceles triangle of base 12 cm 6 of Find the height whose equal sides are of length 15 cm. from the diagram given below, find the length of AX, assuming X is the mid-point of BC.
5 books and 7 pens together cost Rs. 79 whereas 7 books and 5 pens together cost Rs. 77. Represent this situation in the form of linear equation in 2 variables.
Answer:
\(5b + 7p = 79\)
\(7b + 5p = 77\)
when 50 v is applied to four series resistors, 100 a flows. if r1 is , r2 is , and r3 is , what is the value of r4?
The value of resistor R4 is 0.5 minus the sum of resistors R1, R2, and R3.
We have,
To find the value of resistor R4, we can use Ohm's Law and the formula for calculating the total resistance in a series circuit.
In a series circuit, the total resistance (R_total) is the sum of the individual resistances:
R_total = R1 + R2 + R3 + R4
We are given that a voltage of 50 V is applied and a current of 100 A flows through the circuit.
Using Ohm's Law (V = I * R), we can calculate the individual voltage drops across each resistor:
V1 = I x R1
V2 = I x R2
V3 = I x R3
V4 = I x R4
Since the voltage across each resistor is equal to the total applied voltage (50 V), we can write the following equations:
V1 + V2 + V3 + V4 = 50
Substituting the voltage values using Ohm's Law:
(I x R1) + (I x R2) + (I x R3) + (I x R4) = 50
Simplifying the equation:
I x (R1 + R2 + R3 + R4) = 50
Substituting the given values for the current (I = 100 A) and resistors R1, R2, and R3:
100 x (R1 + R2 + R3 + R4) = 50
Solving for R4:
R1 + R2 + R3 + R4 = 50/100
R4 = 0.5 - (R1 + R2 + R3)
Therefore,
The value of resistor R4 is 0.5 minus the sum of resistors R1, R2, and R3.
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the minute hand of a clock is 8 inches long. how far does the tip of the minute hand move in 50 minutes?
The tip of the minute hand moves about 83.8 inches in 50 minutes.
The minute hand of a clock is 8 inches long.
How far does the tip of the minute hand move in 50 minutes:
The circumference of the clock is the distance traveled by the tip of the minute hand for 1 minute, given that the clock has 12-hour marks on its periphery.
Here is a detailed explanation of the problem:
Since the length of the minute hand is 8 inches, the radius of the clock is also 8 inches.
C = 2πr (Circumference of the clock)C = 2 × π × 8C = 16π inches (Circumference of the clock)
The minute hand of the clock covers the circumference of the clock in 60 minutes.
Thus, in 1 minute, the minute hand will travel 1/60th of the clock's circumference.
The distance the minute hand covers in 50 minutes is the product of the distance covered in 1 minute by the number of minutes that is 50.
Coverage of the minute hand in 1 minute = (1/60) × (16π) = (4π)/15 inches.
Coverage of the minute hand in 50 minutes = 50 × [(4π)/15] inches.
Simplifying the expression gives;
Coverage of the minute hand in 50 minutes = (400π)/15 inches ≈ 83.8 inches (rounded to one decimal place).
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Find the area of a circle with a circumference of 50.24 units.
Units²:
Answer:
160.12^2
Step-by-step explanation:
What are the only two values such that the Fn=n
if a set of difference scores with df = 8 has a mean of md = 3.5 and a variance of s2 = 36, then the sample will produce a repeated-measures t statistic of t = 1.75. true or false
The given statement "if set of difference scores with df = 8 has a mean of md = 3.5 then sample will produce repeated-measures t statistic of t = 1.75." is false because it is not possible to determine t statistic.
In a repeated-measures t-test, the t statistic is calculated using the sample mean difference, the standard deviation of the sample mean difference, and the sample size. The formula for calculating the t statistic in a repeated-measures t-test is:
t = (md - μd) / (s / √n)
where md is the mean of the difference scores, μd is the population mean of the difference scores (typically assumed to be zero), s is the standard deviation of the difference scores, and n is the sample size.
In the given statement, we are provided with the mean of the difference scores (md = 3.5) and the variance (s² = 36), but we do not have the sample size (n). Therefore, we cannot calculate the t statistic using the given information.
Hence, it is not possible to determine whether the sample will produce a repeated-measures t statistic of t = 1.75 based on the provided information.
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(2,-4) 1 (3,2),(-1,0),(2,5),(0,4)
A.It is a function
B.it is not a function
Answer: The answer is B. It is not a function because the domain(x) is repeating and if the x was not repeating it would have been a function :)
Step-by-step explanation:
The pinata weighs 11/4 pounds without candy.He adds 8bags that weighs 3/8,3/8,1/2,1/2,1/2,3/4,3,11/4 how much will the pinata weigh when it is filled with the eight bags of candy
Answer:
\(Weight = \frac{23}{2}\)
Step-by-step explanation:
Given
Weight of Pinata = 11/4 lb
Weight of candies = 3/8, 3/8, 1/2 , 1/2, 1/2, 3/4, 3, 11/4
Required
Weight of Pinata when filled with candies
To solve this question, we simply need to add all weights together
First, we need to add up the weight of the candies
\(Candies = \frac{3}{8} + \frac{3}{8} + \frac{1}{2}+ \frac{1}{2}+ \frac{1}{2}+ \frac{3}{4} + 3 + \frac{11}{4}\)
Take LCM
\(Candies = \frac{3 + 3 + 4 +4 + 4 + 6 + 24 + 22}{8}\)
\(Candies = \frac{70}{8}\)
Simplify:
\(Candies = \frac{35}{4}\)
Next; Add the weight of the candies to the weight of pinata
\(Weight = Candies + Pinata\)
\(Weight = \frac{35}{4} + \frac{11}{4}\)
Take LCM
\(Weight = \frac{35 + 11}{4}\)
\(Weight = \frac{46}{4}\)
Simplify
\(Weight = \frac{23}{2}\)
Hence, the weight of the Pinata after it is filled with candies is 23/2 lb
Answer: The ratio of candy to fruit in a pinatas is 1/2 pound to 3/4. if we fill two pinatas and use 4 pounds of candy. how many pounds of will we need? Explain?
Step-by-step explanation:hey I know this isn’t what we’re talking about but MrRoyal I really need you help for this please :(
the heights, in inches, of orangutans are normally distributed with an unknown population mean. a random sample results in a 95% confidence interval of (52,58) inches. what is the correct interpretation of the 95% confidence interval? select the correct answer below: we estimate with 95% confidence that the sample mean is between 52 and 58 inches. we estimate that 95% of orangutans have a height between 52 and 58 inches. we estimate with 95% confidence that the true population mean is between 52 and 58 inches.
The correct interpretation of the 95% confidence interval is:
"We estimate with 95% confidence that the true population mean height of orangutans is between 52 and 58 inches."
What is statistics?
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data. It involves the use of methods and techniques to gather, summarize, and draw conclusions from data.
The confidence interval provides a range of values within which the true population mean height is likely to fall with a 95% level of confidence. It does not provide information about individual orangutans' heights or the sample mean's precise location within the interval.
Therefore, The correct interpretation of the 95% confidence interval is:
"We estimate with 95% confidence that the true population mean height of orangutans is between 52 and 58 inches."
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A ______ graph is best suited for showing changes in statistics over time or space. a. pie b. line c. distributive d. parallel e. ratio.
A line graph is best suited for showing changes in statistics over time or space.
Line graphs are commonly used to visualize trends, patterns, and fluctuations in data over a continuous or discrete period. The x-axis represents time or space, while the y-axis represents the corresponding statistic being measured. The line graph connects the data points, allowing for a clear representation of how the statistic changes over the given time or space interval.
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Please help meee step by step
Answer: 36.5 miles
Step-by-step explanation:
It looks like you have the right idea! You simply need to divide the 438 miles by the 12 days to find the miles traveled per day. This results in 438 / 12 = 36.5
Paul is making bread using a recipe. The amount of flour he uses is proportional to the number of loaves of bread. He uses 1114 cups of flour to make 5 loaves of bread. If Paul used 18 cups of flour, and then sold the loaves of bread he made at a bake sale for $2.50 each, how much money would Paul make from his bread sales?
Answer:
$20
Step-by-step explanation:
Paul is making bread using a recipe. The amount of flour he uses is proportional to the number of loaves of bread. He uses 11 1/4 cups of flour to make 5 loaves of bread. If Paul used 18 cups of flour, and then sold the loaves of bread he made at a bake sale for $2.50 each, how much money would Paul make from his bread sales?
Step 1
Find out how many loaves of bread he can produce from 18 cups of flour
11 1/4 cups of flour = 5 loaves of bread
18 cups of flour = x loaves of bread
Cross Multiply
11 1/4 cups × x loaves = 18 cups × 5 loaves
x loaves = 18 cups × 5 loaves/ 11 1/4 cups
x loaves = 90 ÷ 11 1/4
x loaves = 90 ÷ 45/4
x loaves = 90 × 4/45
x loaves = 8 loaves of bread
He can produce 8 loaves of bread from 18 cups of flour.
Step 2
We are told that:
1 loaf of bread costs $2.50
Hence,
1 loaf of bread = $2.50
8 loaves of bread = $x
Cross Multiply
$x = 8 loaves of bread × $2.50
$x = $20
Therefore, Paul made $20 from his bread sales
Plz help me I’ll give brainliest
In the right triangle shown,
m
∠
V
=
60
°
m∠V=60°m, angle, V, equals, 60, degree and
U
V
=
18
UV=18U, V, equals, 18.
60
°
60°
x
x
18
18
U
U
W
W
V
V
How long is
U
W
UWU, W?
Answer:
what
Step-by-step explanation: