The Pythagorean Theorem and its Converse pt. 2
1-5
Please answer all questions and solve step by step and please try to show/explain with the least words as possible and use mostly numbers to for explain there can still be some words tho.
The distances between the given points are 6.4 units, 7.2 units, 5 units and 7 units
What is distance between points?Distance between two points is the length of the line segment that connects the two points in a plane.
Given that are some points, we need to find the distance between them.
The distance between two points is given by,
C = √(x₂-x₁)²+(y₂-y₁)²
1) (0, 2) and (5, -2)
C = √(5-0)²+(-2-2)²
= √25+16
= √41 = 6.4 units
2) (-4, -3) and (2, 1)
C = √(2+4)²+(1+3)²
= √36+16
= √52 = 7.2 units
3) (0, 0) and (-4, -3)
C = √(-4-0)²+(-3-0)²
= √16+9
= √25 = 5 units
4) (-3, 4) and (2, -3)
C = √(2-3)²+(-3-4)²
= √1+49
= √50 = 7 units
Hence, the distances between the given points are 6.4 units, 7.2 units, 5 units and 7 units
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A sector of a circle of radius 8cm has an area of 120° at the centre. Find its perimeter
Answer:
Area of the sector = [tex]24\pi ^{2}[/tex]
The perimeter of the sector of the given circle is 32.75 cm.
The perimeter of a sector is given by the sum of the arc length and the two radii that form the sector. To find the perimeter of this sector, we need to find the length of the arc and the two radii.
The area of the sector is given as 120° at the center. We can use this information to find the length of the arc by using the formula for the area of a sector:
Area of sector = (angle/360) x πr²
where r is the radius of the circle and angle is the central angle of the sector in degrees.
In this case, we have:
120/360 x π x 8² = 33.51 cm² (rounded to two decimal places)
The length of the arc can be found by using the formula:
Arc length = (angle/360) x 2πr
In this case, we have:
(120/360) x 2π x 8 = 16.75 cm (rounded to two decimal places)
The two radii that form the sector have lengths of 8 cm each.
Therefore, the perimeter of the sector is the sum of the arc length and the two radii:
Perimeter = arc length + 2r
= 16.75 + 2(8)
= 32.75 cm (rounded to two decimal places)
Therefore, the perimeter of the sector is approximately 32.75 cm.
To learn more about the sector of the circle,
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keisha can ride her bike 15 miles in 90 minutes she wants to ride in a bike a thon that consists of 2 trials options a 56 mile trail or a 36 mile trail at her current rate how many more hours will it take her to ride 56 mies than 36 miles if she wants to ride for 4 hours which trail should she choose
Which statement compares the fractions nine thirds and twelve sixths correctly?
nine thirds is greater than twelve sixths
nine thirds is less than twelve sixths
twelve sixths is equal to nine thirds
twelve sixths is greater than nine thirds
Daniel volunteers on the weekend at the Central Library. As a school project, he decides to record how many people visit the library, and where they go. On Saturday, 457 people went to The Youth Wing, 468 people went to Social Issues, and 348 went to Fiction and Literature.
On Sunday, the library had 300 total visitors. Based on what Daniel had recorded on Saturday, about how many people should be expected to go to Social Issues? Round your answer to the nearest whole number.
Answer:the answer is 15000000000.
Step-by-step explanation: 457 turns to 500 because of 5.
468 turns to 500 because of 6.
348 turns to 200 because of 4.
300 turns to 300 because of 0.
500 x 200 x 500 x 300 = 15000000000
solve for x
x =_____
Answer:
x=24
Step-by-step explanation:
3/8=9/x
cross multiply
3x=72
divide
x=24
[tex] \huge{ \bigstar \bf \blue{given \longrightarrow \: \huge \: \boxed{ \bf{ \dfrac{3}{8} = \dfrac{9}{x} }}}}[/tex]
[tex] \huge{ \bigstar \bf \pink{To \: Find \longrightarrow \: \huge \: \boxed{ \bf{ x }}}}[/tex]
[tex]\huge \: \boxed{ \bf\green{cross} \: multiply \: \purple{ term}} \\ \\ \\ \bf \huge \: 3 \times x = 9 \times 8 \\ \\ \\ \sf \huge \: 3x = 72 \\ \\ \\ \bf \huge \: x = \dfrac{72}{3} \\ \\ \\ \sf \huge \: \boxed{ \red{x} = \purple{ 24}}[/tex]
Which of the following is a statistical question that can result in numerical data?
How many letters are in your first name?
How many hours do you practice your musical instrument each week?
How many books do the students in your class read each month?
Who is your favorite cartoon character?
PLEASE ANSWER BEFORE 2/7!!!!!
At Washington Elementary School, the sixth grade teachers are giving a prize to each student who does all their homework for a week. Mr. Price is trying to figure out how many students are in sixth grade so that he knows how many : prizes to buy. There are 26 kids in Ms. Wright's class, 28 kids in Mrs. Lynn's class, 25 kids in Ms. Render's class, and 27 kids in Mr. Price's class. Mr. Price goes to the store and buys 13 bags. In each bag there are 11 prizes. In Ms. Wright's class, 1/2 of the students did all of their homework. In Mrs. Lynn's class, 3/4 of the students did all of their homework. In Ms. Render's class, 4/5 of the students did all of their homework. In Mr. Price's class, 7/9 of the students did all of their homework. Mr. Price takes the remaining prizes and gives half of them to the fifth grade teachers. How many prizes did Mr. Price give to fifth grade?
your are going to be great just add and divide
Original price: $185 New price: $160
the anwser is 25 i subtracted is that what i was supposed to do?
Answer: 15.63
Step-by-step explanation:
you first need to subtract the actual price 160 from the first price 185.
then you will divide the number you got wich should be 25 by the actual price 160.
then you multiply the decimal by 100 and then round to nearest cent if needed
Lana has several dog treats in a drawer: 4 pig’s ears, 3 rawhide twists, and 5 dental chews. She will randomly choose 1 treat from the drawer for her dog, Molly.
What is the probability that Lana will choose a pig’s ear?
Please help!!! I'll give you brainliest !!
Please help. I WILL make first person to answer brainliest.
Requirments:
Very simple explanation
Answer
No step by steps.
Thank you
Also sub to Graystillplays bc he is GOATED and hilarious
Answer: 42
Step-by-step explanation:
when d=6 that would be 7 times 6 wich is 42 hope this is helpful!
Can someone please help me??
Answer: 8.2% rounded to the nearest tenth
Step-by-step explanation:
The original price was 85.78 excluding the sales tax, the total price including the sales tax was 92.82. Subtract 92.82 minus 85.78 and you get 7.04 which was the amount added due to sales tax. Now you will need to find the percentage. What percent is 7.04 of 85.78. You can use the formula p=x times 100 divided by y. x is 7.04 times 100 is 704 then divided by y which is 85.78 you get 8.2 which is your percent.
I need help please.
This work is fractions
Answer:
Step-by-step explanation:
Jennifer sold 2 fewer than 3 times as many candy bars as Catherine sold. If the total number of candy bars that they sold was 30, how many candy bars did Jennifer sell?
Answer:
18
Step-by-step explanation:
10*3 = 30 - 2 = 18
You can read 52 pages per hour. You read for an hour and a half. How many pages have you read? Explain or show how you know in the "show your work" box.
^^^^^^^^^^^^^^^^^^^^^^^
^PREVIOUS QUESTION^ THE ANSWER WAS 78
THE QUESTION
You must read 130 pages for homework. Reading at the same rate as the previous question, can you complete the assignment in two hours? Explain your reasoning
No, it is not possible to complete the assignment in two hours if reading at the same rate as the previous question. The previous question states that 52 pages can be read in an hour, meaning 104 pages can be read in two hours. Therefore, 130 pages cannot be completed in two hours.
Answer:
No.
Step-by-step explanation:
It isn't possible to read 130 pages for homework in 2 hours because like the previous question says, you are only able to tead 52 pages per hour. Now 52 multiplied by 2 is only equal to 104 pages read in two hours. This means that you will have left 26 pages unread for your homework. Although, you are able to read 130 pages in 2 and a half hours since for two hours you are able to read 104 pages, and the left over pages (26 pages) is half of 52 pages which is our hourly rate, meaning that every half hour, we are able to read 26 pages!
Take a look at the following data set:
40, 40, 50, 60, 60, 60, 70, 170
Which of the following is an outlier in this data set?
1. 60
2. 40
3. 50
4. 170
Question 5
Answer:
4. 170
Step-by-step explanation:
170 is obviously the outlier, being 100 away from the 2nd highest number.
The Haverstown theater club is selling tickets for dinner and a show. They already have props and costumes, but they spend $142.50 on food. If they charge $9.50 for each ticket, how many tickets do they need to sell to cover their costs?
Answer:
15 tickets
Step-by-step explanation:
If the theater club needs $142.50 and each ticket costs $9.50, we need to divide 142.5/9.5 to determine how many tickets must be sold, which gets us 15.
The question is down below in the picture pls solve
Answer:
The height is 5.6 units.
Step-by-step explanation:
The height can be calculated using this formula
[tex]h=\sqrt{a^2-\frac{b^2}{4} }[/tex]
Let [tex]a[/tex] be the base of the triangle along the horizontal.
Let [tex]b[/tex] be the side of the triangle.
In an isosceles triangle has 2 sides that are equal in length.
Numerical Evaluation
In this example we are given
[tex]a=6\\b=3\sqrt{2}[/tex]
Substituting our values into the equation gives us
[tex]h=\sqrt{6^2-\frac{\left(3\sqrt{2} \right) ^2}{4} }[/tex]
Lets solve for [tex]h[/tex].
Evaluate [tex]6^2[/tex].
[tex]h=\sqrt{36-\frac{\left(3\sqrt{2} \right) ^2}{4} }[/tex]
Apply the product rule to [tex]3\sqrt{2}[/tex].
[tex]h=\sqrt{36-\frac{3^2\sqrt{2}^2 }{4} }[/tex]
Evaluate [tex]3^2[/tex].
[tex]h=\sqrt{36-\frac{9\sqrt{2}^2 }{4} }[/tex]
Rewrite [tex]\sqrt{2}^2[/tex] as [tex]2[/tex].
[tex]h=\sqrt{36-\frac{9*2 }{4} }[/tex]
Evaluate [tex]9*2[/tex].
[tex]h=\sqrt{36-\frac{18 }{4} }[/tex]
Factor [tex]2[/tex] out of [tex]18[/tex] and [tex]2[/tex] out of [tex]4[/tex].
[tex]h=\sqrt{36-\frac{2(9) }{2(2)} }[/tex]
Cancel the common factor of [tex]2[/tex].
[tex]h=\sqrt{36-\frac{9 }{2} }[/tex]
To write [tex]36[/tex] as a fraction with a common denominator, multiply by [tex]\frac{2}{2}[/tex].
[tex]h=\sqrt{36*\frac{2}{2} -\frac{9 }{2} }[/tex]
Combine the numerators over the common denominator.
[tex]h=\sqrt{\frac{36*2-9}{2}[/tex]
Multiply [tex]36[/tex] by [tex]2[/tex] then subtract [tex]9[/tex].
[tex]h=\sqrt{\frac{63}{2} }[/tex]
Evaluate [tex]\sqrt{\frac{63}{2} }[/tex].
[tex]h=5.6125[/tex]
Round to nearest tenth.
[tex]h=5.6[/tex]
Learn more about isosceles triangles here
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The Haverstown theater club is selling tickets for dinner and a show. They already have props and costumes, but they spend $142.50 on food. If they charge $9.50 for each ticket, how many tickets do they need to sell to cover their costs?
here wwe go with math!!!!!!
Answer: A
Step-by-step explanation: 4 goes into 32 8 times and 4 goes into 36 9 times
Answer:
8:9
Step-by-step explanation:
First, find the greatest common factor that they share:
32: 1, 2, 4, 8, 16, 32
36: 1, 2, 3, 4, 6, 9, 12, 18, 36
If you divide both numbers by this factor, you'll find the simplest form:
32/4 = 8
36/4 = 9
8:9
The Pythagorean Theorem and its Converse pt. 2
Please answer all questions and solve step by step and please try to show/explain with the least words as possible and use mostly numbers to for explain there can still be some words tho.
Ignore the answers shown i don't know
if they are correct.
sorry cant help very very sorry
Please help I need it before morning I will mark first person to answer Brainliest
Answer:
8% as a fraction can be expressed as 8/100 or 4/50.
Explanation:
Percentages are a way of expressing a number as a fraction of 100. The symbol % represents "per hundred" or "out of 100." So, 8% can be thought of as 8 out of 100 or 8/100.
When we convert a percentage to a fraction, the numerator (top part of the fraction) represents the percentage value and the denominator (bottom part of the fraction) is set to 100. This is because 100 represents the whole, and the numerator represents a part of that whole.
In this case, 8% as a fraction is 8/100, which can be simplified to 4/50.
Answer: hope this helps ♡
8% = [tex]\frac{8}{100}[/tex] = [tex]\frac{2}{25}[/tex]
Step-by-step explanation:
% = something out of a hundred (not out of 10)
eg: 25% = 25 out of a hundred
so 8% = (8 out of a hundred) [tex]\frac{8}{100}[/tex] = [tex]\frac{4}{50}[/tex] = [tex]\frac{2}{25}[/tex] (simplified answer)
(100 divided by 2 = 50 50 divided by 2 = 25)
(8 divided by 2 = 4 4 divided by 2 = 2)
giving thanks + five stars to whoever answers question first
Answer: hope this helps ♡
[tex]\frac{5}{12}[/tex] cups of dog food is recommended for a 25-pound adult dog.
Step-by-step explanation:
Unitary method: diving the number that you want to find out over the already known number. (just try to understand this lol) :)
10 lb = ⅙ Or 0.1666666 cups
1 lb = ? cups
[tex]\frac{0.16}{10}[/tex] = 0.01666666
1 lb = 0.01666666 cups
25 lb = 0.01666666 × 25 cups
25 lb = 0.416666667 Or [tex]\frac{5}{12}[/tex] cups
(Or: 10lb= ⅙ 20lb= ⅙+⅙ = [tex]\frac{2}{6}[/tex] 5lb= ⅙ ÷ 2= [tex]\frac{1}{12}[/tex] (10lb÷2) 25lb = [tex]\frac{1}{12}+\frac{2}{6}[/tex] = [tex]\frac{5}{12}[/tex] ≈ 0.416666667 (25=20+5)
Finding the the circumference of a circle lol. Please help?
Answer:
Circumference = 440
Step-by-step explanation:
diameter = 70 * 2
circumference = diameter * (22/7) = 440
Nick had some candy to give his three children He first took five pieces for himself and then evenly divided the rest among his children Each child received four pieces How many pieces did he start with?
Answer:
Step-by-step explanation:
5 + (x divided by 3) 3 times 4 is 12
12+5=17
You need 1 1/4 cups of sugar to make 20 cookies To make 8 cookies, you will need______cups of sugar.
Which statement compares the fractions two fifths and five eighths correctly?
two fifths < five eighths
two fifths = five eighths
two fifths > five eighths
five eighths < two fifths
Answer: 2/5 < 5/8
Step-by-step explanation: Find the least common denominator.
In this case the LCD is 40
we multiply the fractions by 40:
16/40 < 25/40
The comparisons shows that 2/5 less than 5/8
Answer: two fifths < five eighths
Step-by-step explanation:
2/5 < 5/8
Mulitiply by 8 because the L.C.M (lowest common multiple) is 40
16/40 < 25/40
Hope that helps! Please make me Brainliest!
given a spare with a diameter of 8.6 cm, find its volume to the nearest whole number. a. 2663m b. 187 cm c. 333 cm d. 54 cm
It's about C. 333cm using the equation [tex]V=\frac{4}{3}\pi r^3[/tex]
As a nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For one of your regular patients, you always mix Medication A with Medication B in the same proportion. Last week, your patient's doctor indicated that you should mix 140 milligrams of Medication A with 126 milligrams of Medication B. However this week, the doctor said to only use 81 milligrams of Medication B. How many milligrams of Medication A should be mixed this week?
_______milligrams
Answer:
you can take a factor of 12 out of both denominators
90/9=x/7
by a variety of ways, including cross-multiplication, x=70 mg of Medication A.
Please help me with this maths question
Answer:
-3
Step-by-step explanation:
3*5 + 3*-7/2
-6/2
=-3