Answers
Answer:
4. 87.96 yd
5. 47.12 ft
6. 34.56 cm
Step-by-step explanation:
4. diameter(d) = 28 yd,
perimeter = πd = 87.96 yd (rounded to 2 dp)
5. radius(r) = 7.5 ft
perimeter = 2πr = 47.12 ft (rounded to 2 dp)
6. diameter (d) = 11 cm
perimeter = πd = 34.56 cm
Answered by GAUTHMATH
Formula to find the perimeter of a semicircular region:
if radius given: [tex]P=2r[/tex] + [tex]\pi r[/tex] {r = radius}
if diameter given: [tex]P=d+\pi r[/tex] {d = diameter}
Take [tex]\pi[/tex] as 3.14
Q4.
Diameter = 28 yd
Radius = 28/2 = 14 yd
[tex]P=28+\pi (14)[/tex]
[tex]P=28+(3.14)(14)[/tex]
[tex]P=28+14.96[/tex]
[tex]P=42.96[/tex] yd
Q5.
Radius = 7.5 ft
Diameter = 7.5 × 2 = 15 ft
[tex]P=2(7.5)+\pi (7.5)[/tex]
[tex]P=2(7.5)+(3.14)(7.5)[/tex]
[tex]P=15+23.55[/tex]
[tex]P=38.55[/tex] ft
Q6.
Diameter = 11 cm
Radius = 11/2 = 5.5 cm
[tex]P=11+\pi (5.5)[/tex]
[tex]P=11+(3.14)(5.5)[/tex]
[tex]P=11+17.27[/tex]
[tex]P=17.27[/tex] cm
I hope this helps...
Have a great day ahead :)
Related Questions
Simplify. 6x-2
A.6/x^2
B.x²/6
C.1/6x^2
D.1/36x^2
Answers
Answer:
Step-by-step explanation:
[tex]a^{-m}=\frac{1}{a^{m}}\\\\6x^{-2}=6*\frac{1}{x^{2}}=\frac{6}{x^{2}}[/tex]
The table shows the height of water in a pool as it is
being filled
The slope of the line through the points is 2. Which
statement describes how the slope relates to the
height of the water in the pool?
Height of Water in a Pool
Time
(min)
2
4
6
8
10
Height
(in.)
8
12
16
20
24
The height of the water increases 2 inches per
minute.
The height of the water decreases 2 inches per
minute.
The height of the water was 2 inches before any
water was added.
The height of the water will be 2 inches when the
pool is filled.
Answers
Answer:
Step-by-step explanation:
Slope is the rate of change. For us, this rate of change is inches of water per minute. If this rate of change is 2/1, that means that the rate is changing 2 inches every minute (aka The height of the water increases 2 inches per minute, first choice in your list of possibilities).
John is 20 years old than Steve. In 10 years, Steve's age will be half that of John's. What is the Steve age??
Answers
Answer:Steve age will be 15 y.o
Step-by-step explanation:
helppppppppppppp plzzzzz
Answers
the answer is in the picture
In a group of 36 pupils, 10 play the flute only. 15 play the piano only. 4 play neither instrument. A student is selected at random. What is the probability the student plays both instruments?
Answers
Answer:
9
Step-by-step explanation:
First you would need to subtract all the irrelevant students.
So, subtract 4 from 36, which is 34.
34 - (10 + 15) =
34 - 25 =
9
The answer is 9 pupils.
Which value is 10,000 times larger than 1,300?
Explain.
Answers
Which value is 10,000 times larger than 1,300?
answer= 1300×10000
= 13,000,000
Circle W has a radius of 20 in and right central angle, ZVWX. Find the length of vx. Leave your answer in terms of pi.
5
10
15
20
Answers
Answer:
The length of the arc is 10 pi
Step-by-step explanation:
Mathematically, the length of an arc is calculated as;
theta/360 * 2 * pi * r
theta represents the central angle subtended by the arc which is a right angle according to the question (a right angle is 90 degrees)
r is the circle radius which is 20 inches
so we have the length of the arc as;
90/360 * 2 * pi * 20 = 40 pi/4 = 10 pi
Does the point (1, 3) satisfy the equation y = 5x? yes no
Answers
Answer:
Nope
Step-by-step explanation:
we can graph y = 5x as y = 5 units up and one unit to the right
but for right now let me be specific on what i mean
Specifically:
y = 5x is a Slope-Intercept equation, the original Slope-Intercept equation would be y = mx + b but in this case, we don't have b so we're focusing now on y = 5x, but what are we suppose to do with 5x??? well 5x represents the slope of the line so to graph a slope, use rise over run = rise/run. so only 5 is being used so 5 = rise/run = 5/1.
------------------------------------------------------------------------------------
Answer: (1, 3) doesn't satisfy the equation
Answer:
No, it does not satisfy the equation
Step-by-step explanation:
Hi there!
We are given the equation y=5x and we want to know if the point (1,3) will satisfy the equation
If we substitute the values of a point into the equation, and the result is a true statement (ex. 2=2), then the point satisfies the equation
If we substitute the values of a point into the equation and the result is a false statement (ex. 0=7), then the point doesn't satisfy the equation
The reason for this is because when we plug the value of a point into an equation, we're seeing if the equation will pass through that given point.
So let's substitute 1 as x and 3 as y into y=5x
3=5(1)
multiply
3=5
The result is a false statement; therefore, the point doesn't satisfy y=5x
Hope this helps!
Which statement describes the relationship between x and y?
As x increases, y decreases.
As x increases, y increases.
As x increases, y increases and then decreases.
As x increases, y decreases and then increases.
Answers
Answer:
as x increases, y increases
Step-by-step explanation:
Answer:
B. as x increases, y increases
Step-by-step explanation:
Zachary's art club ordered a giant sub sandwich for a party. It was 6 feet long! When the sandwich arrived, Zachary cut it into 16 equal pieces.
How long was each piece?
Write your answer as a proper fraction or mixed number.
Answers
Answer:
3/8 feet long
Step-by-step explanation:
Find how long each piece was by dividing 6 by 16:
6/16
Simplify this by dividing each number by 2:
6/16
= 3/8
So, each piece was 3/8 feet long
In the diagram, what is m NSR?
Answers
RU is a line which needs to equal 180 degrees. This means angle VSR + VSU needs to equal 180.
VSU = 100
VSR = 180 - 100 = 80
Answer: VSR = 80
Answer:
∠ VSR = 80°
Step-by-step explanation:
∠ VSR and ∠ VSU are adjacent angles and sum to 180° , then
∠ VSR + 100° = 180° ( subtract 100° from both sides )
∠ VSR = 80°
subject
Math, 25.02.2021 09:15 hajuyanadoy
Illustrate the following and determine the number of permutations. 1. Arranging 4 pots with different plants in a row
2. Forming a four-digit ATM pin.
3. Securing a motorcycle with a three-digit combination lock using the numbers 1, 2, 3 and 6
4. Displaying 3 identical small vases, 1 figurine, and a photo frame in a row
5. 3 girls sitting around a circular table
Answers
Answer:
1: 16
2: 4940
3: 24
4: 25
5: 9
Step-by-step explanation:
A permutation is a method of calculating the number of possible outcomes. It follows the following general formula;
[tex]_nP_r=\frac{n!}{(n-r)!}[/tex]
There (n) is the number of objects, and (r) is the number of objects selected.
1. Arranging 4 pots with different plants in a row
In order to solve this, one needs two pieces of information, the number of objects, and the number of objects selected. One is given the number of objects; (4), but when the problem states "in a row" it never specifies how many plants are in a row. Thus, let one assume that a "row" can have an infinite amount of space, but in this case, only (4) space will be used. Therefore there are (4) objects with (4) objects selected. However, the drawback is that the combination formula doesn't work when the two parameters (n) and (r) are the same. Hence, to solve this special case, one simply multiplies the two numbers to get the answers:
[tex]n*r\\\\=4*4\\\\=16[/tex]
2. Forming a four-digit ATM pin
One is given that there are (4) digits in the ATM pin, this is the number of objects selected. One is also given that number of objects, there are (10) digits including (0). Set up the permutation and solve;
[tex]_nP_r=\frac{n!}{(n-r)!}[/tex]
[tex]_1_0P_4=\frac{10!}{(10-4)!}\\\\=\frac{10!}{6!}\\\\=\frac{10*9*8*7*6*5*4*3*2*1}{6*5*4*3*2*1}\\\\=10*9*8*7\\\\=4940[/tex]
3. Securing a motorcycle with a three-digit combination lock using the numbers (1), (2), (3), and (6).
There are (4) digits to choose from on the lock. But there are (3) numbers that can be selected.
[tex]_4P_3=\frac{4!}{(4-3)!}\\\\=\frac{4!}{1!}\\\\=\frac{4*3*2*1}{1}\\\\=4*3*2*1\\\\=24[/tex]
4. Displaying 3 identical small vases, 1 figure, and a photo frame in a row.
There are (5) objects, and (5) spaces (read problem (1) for an explanation for the objects being put in a row). Thus, this is a special case; multiply the two numbers to get the result;
[tex]n*r\\=5*5\\=25[/tex]
5. 3 girls sitting around a circular table
There are (3) subjects, and (3) spaces in this problem. Apply the same logic applies to a row in this problem. Therefore, this is another special case; multiply the two numbers to get the result;
[tex]n*r\\=3*3\\=9[/tex]
WOrth 10 pts ... pls help
Answers
Find the equation of a quadratic function in general form whose graph has points: (-2, 3) (0, 3) and (-4,-5).
Try your best to show complete work & explain your strategy.
Answers
Answer:
-x²-2x+3
Step-by-step explanation:
The first thing I noticed is that the first and second point has the same y intercept despite being only 2 x coordiantes away. This must mean that the vertex's x coordiante is probably (-1,4)
Because the vertex is probably (-1,4) the graph must also be concave down because the point (-4,-5) is below it
writing this in vertex form we get
-a(x+1)²+4
Where a is some constant
solve for a by plugging in (0,3)
3= -a(0+1)²+4
3= -a+4
-1= -a
a=1
therefore the equation looks like
-(x+1)²+4
expanding this so that it's in stantard form...
-(x²+x+x+1)+4
-x²-2x+3
which is the final answer
Identify the ethical issue(s) in each experiment. Beginning in the 1940s, the Department of Medicine at the University of Chicago tested anti-malaria medications on inmates at the Stateville Penitentiary. Inmates readily volunteered, as their parole would be reviewed upon completion of their sentence. Inmates who participated in the study reported that they were informed of the risks involved in participating in the study, including the possibility of death.
In the 1960s, Stanley Milgram studied the willingness of subjects to obey an authority figure, even at the risk of being harmed. The subjects believed they were taking part in a study on learning. They were assigned to the role of teacher and were ordered to administer electrical shocks with increasing voltage to the learner whenever the learner made an error. The learner was an actor who remained unharmed. The subjects were not initially told that it was a study of obedience, as this might affect the outcome, and they were not prepared for possible psychological distress.
In the 1950s and 60s, Saul Krugman infected mentally disabled children enrolled at the Willowbrook State School in New York with hepatitis in order to better understand how the disease spread and how it could be combatted. Parents agreed to enroll their children in the study in exchange for admission to the school.
Answers
Full question attached
Answer:
1. Subjects were not aware of the purpose of the experiment.
2. Subjects were not aware of all potential risks.
Subjects were not aware of the purpose of the experiment.
3. Subjects were coerced into participating
Explanation:
Ethics are the moral principles and codes that guide our daily decisions and actions. Ethical issues in conducting experiments or research aim at protecting the dignity of subjects or participants in the research. Major ethical issues in conducting research include: Respect for anonymity and confidentiality, beneficence(should not harm participants), and informed consent(independently volunteers after clear comprehensive information on research).
1. Experiment violates informed consent as participants were not aware of the purpose of research.
2. Experiment violates informed consent and beneficence as participants weren't fully informed and faced the risk of being harmed.
3. Experiment violates beneficence and informed consent as participants faced the risk of being harmed and did not independently volunteer for the research.
In the picture shown below, what proportion would NOT give the correct value of x?
Answers
Answer: (c)
Step-by-step explanation:
In the given figure, two triangles are similar namely [tex]\triangle ABC[/tex] and [tex]\triangle ADB[/tex]
For similar triangles, the ratio of the corresponding sides are equal.
For option (a), Hypotenuse to Perpendicular ratio is given, that is correct
Similarly for option (b), Perpendicular to hypotenuse ratio is given
Both option (a) and (b) gives the same value of [tex]x[/tex] that is,
[tex]\Rightarrow x=\sqrt{81\times 45}\\\Rightarrow x=60.37[/tex]
Option (c) does not give the correct value of [tex]x[/tex]
Answer:
C
Step-by-step explanation:
In the given figure, two triangles are similar namely and
For similar triangles, the ratio of the corresponding sides are equal.
For option (a), Hypotenuse to Perpendicular ratio is given, that is correct
Similarly for option (b), Perpendicular to hypotenuse ratio is given
Both option (a) and (b) gives the same value of that is,
Option (c) does not give the correct value of
What is the solution for this equation:
Answers
Answer:
c) x=126
Step-by-step explanation:
tell me if I get it right
In right ΔDEF, DF = 20, m∠ F = 90˚, EF = 17. Which of the following is true? Does option 5 apply
Answers
Answer:
Step-by-step explanation:
From the picture attached,
ΔDEF is a right triangle with two sides,
EF = 17 units
DF = 20 units
By applying Pythagoras theorem in the given triangle,
DE² = DF² + EF²
(20)² = DF² + (17)²
DF² = 400 - 289
DF = √111
Trigonometric ratios for the ∠F,
sin(F) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\text{sin}F=\frac{\sqrt{111}}{20}[/tex]
[tex]\text{cosF}=\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\text{cos}F=\frac{17}{20}[/tex]
[tex]\text{tan}F=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
[tex]\text{tan}F=\frac{\sqrt{111}}{17}[/tex]
Choose the correct option.
Evaluate (3n+2) -10 when n=3 !!!!
Answers
Hello!
(3n + 2) - 10 =
= (3 × 3 + 2) - 10 =
= (9 + 2) - 10 =
= 11 - 10 =
= 1
Good luck! :)
[tex]\displaystyle\bf (3n+2) -10 \ if \ n=3\Longrightarrow 3\cdot3+2-10=11-10=\boxed{1}[/tex]
Which represents f(x)=g
Answers
The answers, are given in terms of the input (your x value) so we are looking for the answer that has x values of -4 and 0 to make the equal statement true. You’re answer is the second option/B
Would appreciate I’m so far behind :/
Answers
Answer:
C
Step-by-step explanation:
Given the graph of f(x) then the graph of f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Here the graph has been shifted 2 units to the right , then
f(x) = (x - 2)²
Given the graph of f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here the graph has ben shifted 4 units up
Thus
f(x) = (x - 2)² + 4 → C
15< 4 + x
O A. x>11
O B. X> 19
O C. x< 19
O D. x< 11
Answers
Answer:
A. x>11
Step-by-step explanation:
15 < 4 + x
take 4 to the LHS this becomes 15 - 4 < x
•°• 11 < x
< means less than
Therefore x is greater than 11
x > 11
The marked price of a palmtop was Rs 10,000. What will be the price of palmtop if 13% VAT was levied, after allowing 15% discount on it ?
Answers
Step-by-step explanation:
price after discount and with vat = 9605
which table represents a linear function graph 1. pleasee help also giving brainliest
Answers
Answer:
2 i think it is
Step-by-step explanation:
Explanation: The table on the farthest left represents a linear function graph. This is because the x values go up by the same number each time, and the y values do as well. Even though they do not go up by the same number, the fact that x goes up by 1 each time and y goes up by 1/2 each time makes the table linear. The other tables are not linear; even though the x value goes up by the same number each time, the y value does not.
Hope this helps! Comment below for more questions.
instructions: state what additional information is required in order to know that the triangle in the image below are congruent for the reason given.
Given: SAS
Answers
Answer:
please I don't know can u please help me out
Answer:
The answer to your question where SAS is given
∠T ≈∠ W
Analyzing Speed Yohan Blake ran the 100-meter race in the 2012 Olympics in 9.75 seconds. Compare the speeds if he ran the 200-meter race in 19.5 seconds. round to the nearest hundredth.
Answers
Answer:
The two speeds are equal
Step-by-step explanation:
The speed is the distance divided by the time
100 meters / 9.75 seconds = 10.25641026 meters per second
Rounded to the nearest hundredth 10.26 meters per second
200 meters / 19.5 seconds = 10.25641026 meters per second
Rounded to the nearest hundredth 10.26 meters per second
The two speeds are equal
[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]
⠀Analyzing Speed Yohan Blake ran the 100-meter race in the 2012 Olympics in 9.75 seconds.⠀⠀⠀he ran the 200-meter race in 19.5 seconds. round to the nearest hundredth.[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]
Compare the speeds⠀⠀⠀⠀[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]
⠀
we know that,
[tex]\boxed{\sf{speed=\dfrac{distance}{time}} }[/tex]
In the 100-meter race in the 2012 Olympics he takes 9.75 sec
speed=100/9.75speed =10.2564...speed=10.26BUTTT,
he ran the 200-meter race in 19.5 seconds.
speed=200/19.5speed=10.2564..speed=10.26According to the question,
we have to compare the speed
100-meter race in the 2012 Olympics he takes 9.75 sec=200-meter race in 19.5 seconds.10.26=10.26the speeds are equal⠀⠀⠀
[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]
The two speeds are equal of Yohan Blake.
what are the lengths of SV and QT? no links.
Answers
ok so we see that TR is 17 units, so RV is the same amount
3x+2 so 3x=15 so divide both sides by 3 we get x=5
now we know x=5 4x+1=21 and 9x-4=41
*drops microphone*
Answer:
TR = 12
=> 3x + 2 =17
=> x = 5
We have QT = QV (because QTV is an isosceles triangle)
=> QT = 4x+1=4x5+1=21 units
We have TS = SV (because TSV is an isosceles triangle)
=>SV = 9x-4= 9x5-4=41 units
Oof, someone please help asap! I don't recall ever seeing this type of question before!
Answers
Answer:
90
Step-by-step explanation:
You are looking for the highest common factor for 270 and 360.
Factor the 2 numbers
270 = 2 * 5 * 3 * 3 * 3
360 = 2 * 2 * 2 * 3 * 3 * 5
Each of the numbers has a 5
Each of the numbers has two threes
Each of the numbers has one 2
So the answer is 2 * 3*3 * 5
Prove: AAB
Step
Statement
Reason
Given
1
ABCD is a parallelogram
ABCD
Select a Reason!!
2
A
B
N
Answers
the school is located 0.8 miles west of willows house the park is 1.5 miles north what is the distance between willows house and the park
Answers
Answer:
0.7
Step-by-step explanation:
1.5 - 0.8 = 0.7 :)) hope u get it right!!!
The distance between the school and the park will be 0.7 miles.
What is the distance?Distance is defined as the length between the two points just like in the question it is the length between the school and the park.
Given that:-
The school is located 0.8 miles west of willows house The park is 1.5 miles northThe distance will be calculated as:-
Distance = 1.5 - 0.8 = 0.7 miles
Therefore the distance between the school and the park will be 0.7 miles
To know more about distance follow
https://brainly.com/question/2854969
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