Question 2
Which statement best explains
why the sum of the areas of the
two white squares in Figure 2 is
the same as the area of the white
square in Figure 1?
The combined area of the four triangles is equal to the area of the large white
square.
In each triangle, the length of side a plus the length of side b equals the length
of side c. That means that a? + b2 = c?.
In each figure the total area is equal and the area of the 4 triangles is equal, so
the remaining white area in each figure must also be equal.
Answers
Answer:
the third option
Step-by-step explanation:
that is actually the proof for Pythagoras :
both squares have the total area of (a + b)².
each of the triangles (4 in figure 1, 4 in figure 2) has the same area as the others : a×b/2
so, for figure 1
(a + b)² = 4×a×b/2 + c² = 2×a×b + c²
and for figure 2
(a + b)² = 4×a×b/2 + a² + b² = 2×a×b + a² + b²
2×a×b + c² = 2×a×b + a² + b²
c² = a² + b²
Related Questions
5.A Nathan decided he wanted to go to a theme park. The theme
park charges $ 7.00 for entry and $ 1.50 for each ride. Part A : Write an
expression to represent this scenario where R represents the number of
rides.
5.B Refer to problem 5. Part B: Write and solve an equation to determine
how many rides Nathan can ride if his Dad give him $ 28.00. Show your work.
Answers
Answer:
5a. $1.50R + $7
5b. 14 rides
Step-by-step explanation:
5b. $28 - $7= $21/1.50= 14
He can go on 14 rides
If rides be x
Initial price=7Rate of change=1.5The equation is
y=1.5x+7#B
Put y=28
1.5x+7=281.5x=28-71.5x=21x=14Total 14 rides
Todd and Tim are exercising. Todd does 20 push-ups at the same time as Tim does 30 push-ups. When Todd does
40 push-ups, how many push-ups does Tim do?
Answers
Answer:
50 pushups.
Step-by-step explanation:
simple pattern of adding 10 each time.
solve the inequality x-3 < 3x -7
Answers
Answer:
x > 2 or 2 < x
Step-by-step explanation:
x-3 < 3x-7
-3 < 2x-7
4 < 2x
2 < x
x > 2
Solve the inequality
-5/7 - 6/7z < -2/7
Answers
[tex]-\cfrac{5}{7}-\cfrac{6}{7}z~~ < ~~-\cfrac{2}{7}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{7}}{-5-6z~~ < ~~-2} \\\\\\ \stackrel{\textit{dividing by a negative value}}{-6z~<~3\implies z ~\stackrel{\stackrel{notice}{\downarrow }}{>}~\cfrac{3}{-6}}\implies \boxed{z~>-\cfrac{1}{2}}[/tex]
A contractor uses a scale drawing of an office floor to determine the amount of carpet he needs to buy 1/4 inch = 4.5 feet the width in the scale drawing of the office floor is 6.4 inches what is the actual width of the office floor
Answers
A scale drawing is a method of drawing that requires either increasing or decreasing the dimensions of a given object. So then, the actual width of the office floor is: 115.2 feet.
A representative factor is a factor the can be used to either increase or decrease the dimensions of an object. It is sometimes referred to as a scale factor.
In the given question, the scale factor is given as:
[tex]\frac{ 1 }{4}[/tex] inch = 4.5 feet
Given that the width in the scale drawing of the office floor is 6.4 inches, let the actual width be represented by x.
So then;
[tex]\frac{ 1 }{4}[/tex] inch = 4.5 feet
6.4 inches = x
x = [tex]\frac{6.4 *4.5}{\frac{1}{4} }[/tex]
= [tex]\frac{28.8}{0.25}[/tex]
x = 115.2
Therefore, the actual width of the office floor is 115.2 feet.
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Answer:
115.2 /\
Step-by-step explanation: / \
What the person above me said. / \
Please help with math
Answers
Answer:
3.84m
Step-by-step explanation:
32*12=384
384/100=3.84
Answer:
384. hope this helps you out
Explain: 32•12=384, but for got to divide it so it equal 3.84
i need detailed answer for this question. please help it’s for elementary school
Answers
Step-by-step explanation:
=4÷8-15
=½-15
= -14½
hope this helps you.
Answer:
-14.5
Step-by-step explanation:
4÷2^3-15
2^3= 8
4÷8-15
4÷8= 0.5
0.5-15= -14.5
-14.5
The population of a large city is gradually moving to outlying metropolitan areas with the decline predicted by the functional equation, P = P,2***
If represents the present population of 1 million and Pis the predicted population in t years, what is an estimate of the city's population five
years from now? Use 2.718 for e.
1,161,816
0 223,164
0 860,721
970,448
Answers
Consider The Giant Wheel at Cedar Point again. The Giant Wheel is a circle with diameter 128 feet which sits on an 8 foot tall platform making its overall height 136 feet.
It completes two revolutions in 2 minutes and 7 seconds. Assuming that the riders are at the edge of the circle, find a sinusoid which describes the height of the passengers above the ground t seconds after they pass the point on the wheel closest to the ground.
Answers
Answer:
h(t) = 72 + 64·sin(2π(t -31.75)/127)
Step-by-step explanation:
The generic form will be ...
h(t) = a +b·sin(c(t -d))
The value of 'a' is the midline of the height function, halfway between the minimum (8) and the maximum (136).
a = (8 +136)/2 = 144/2 = 72
The value of 'b' is the amplitude of the height function, half the difference between the minimum and the maximum.
b = (136 -8)/2 = 128/2 = 64
The value of 'c' is the frequency of the motion in radians per second. It will be ...
c = 2π/(period in seconds) = 2π/127
The value of 'd' is the number of seconds from the minimum (8 ft) until the wheel first reaches the midline. It will be 1/4 of the revolution time:
d = 127/4 = 31.75
Then our finished sinusoidal function is ...
h(t) = 72 + 64·sin(2π(t -31.75)/127)
_____
Additional comment
If we were to use the cosine function instead, the equation could be simpler:
h(t) = 72 -64·cos(2πt/127)
The cosine already starts at its maximum value, so height will be at a minimum if we use the negative of the cosine function.
An interior designer hangs canvas paintings along a hallway. If the interior designer uses canvas paintings with length measuring
9
inches and places them side by side along the hallway that has a length of
24
feet, how many paintings does the designer hang?
Answers
The number of paintings the designer can hang is 32.
In order to determine how many paintings the painter can hang, the length of the hallway would be divided by the length of the paintings.
Number of paintings = length of hallway / length of paintings
The unit of measurement of the hallway and the paintings have to be the same length,
1 foot = 12 inches
24 feet x 12 = 288 inches
Number of paintings = 288 / 9 = 32 paintings
To learn more about division, please check: https://brainly.com/question/194007
essential skills test ,The cost of a haircut is $23. How much do 3 haircuts cost?
Answers
Answer:
$69 is correct
hope this helps
Answer: $69
Step-by-step explanation:
multiply 23 and 3
4/5 - 1/2 plz help i neeeeeeeeeed to know plz plz plz plz
Answers
Answer:
3/10
Step-by-step explanation:
Find a common denominator for both fractions.
4/5 - 1/2 = 8/10 - 5/10
Can you help me please I will mark the BRAINLIEST
Answers
Answer:
c.7203
d.26244
Step-by-step explanation:
please mark me as brainliest
Answer:
[tex]3 \times 7 \times 7 \times 7 \times 7 = 3 \times {7 }^{4} = 7203[/tex]
[tex]2 \times 9 \times 9 \times 2 \times 9 = {2}^{2} \times {9}^{4} = 26244[/tex]
Select the reason why these triangles are
similar. If they are not, select "Not similar.
14
9
24
16
6
21
Answers
Answer:
SSS
Step-by-step explanation:
The triangles are similar according to SSS rule (side lengths)
You can check it by writing the following equation:
6/9 = 16/24 simplify both sides
2/3 = 2/3
Mr. Morton sold
bird houses to stores he started the week with 60 he sold 10 to one store and divided the rest between five other stores how many bird houses he’s so to each of the other five stores
Answers
Answer:
10
Step-by-step explanation:
How do you find the mean of 46,37,34,31,29, and 24??
Answers
Answer:
To find the mean you need to add all the given numbers and then divide that by how many numbers you added. In this case, the process would look like this.
1. add all numbers
46+37+34+31+29+24 = 201
2. divide the sum (201) by the amount of numbers you added (6)
201/6 = 33.5
3. and you're done! the mean (which is basically the average) of the given numbers is 33.5
2) Count the number of values in your data set.
3) Divide the sum by the count.
Answer: 181
In a scale drawing of a painting. 1 centimeter represents 5 inches.
scale 1 cm :5 in
Answer the following
(A) The height of the real painting is 25 inches. What is the height of the painting in the scale drawing?
______ cm
(B) In the scale drawing, the lenght of the painting is 6 cm. What is the lenght of the real painting?
____ inches
Please no links just answers :)
Answers
Answer:
a(5
b)30
Step-by-step explanation:
in the first one you divide 25 by 5
in the second one you multiply 6 times 5
How many containers of At the book store, Dan bought 17 books about the solar system, and 12 magazines about dinosaurs. If books cost $15 and magazines cost $4, how much did Dan spend at the book store? *cream will she be able to purchase? *
Answers
Answer:
303
Step-by-step explanation:
math
Can someone please help me
Answers
Answer:
question 10
14×50= 700 pages
Serena has 24 apps on her tablet. Of these apps, 6 are games. What percent of Serena's apps are games?
Answers
Answer:
25%
Step-by-step explanation:
Like and give 5 star rating
Mark brainllest please
At Albemarle High School, 5/9 of the students are in band and 57% of the students are in chorus. Are more AHS students in band or chorus?
Answers
Let find percentage of 5/9
[tex]\\ \sf\longmapsto 5/9(100)[/tex]
[tex]\\ \sf\longmapsto 500/9[/tex]
[tex]\\ \sf\longmapsto 55.5\%[/tex]
More students are in chorus
Given
Percentage of students in Chorus.
Fraction of students in band
To find
Which has more students.
Let's start.
We need to find the Percentage of students in band.
[tex]\sf \longmapsto \: \dfrac{5}{9} \times 100[/tex]
[tex]\sf \longmapsto \: \dfrac{5}{9} \times \dfrac{100}{1} [/tex]
[tex]\sf \longmapsto \: \dfrac{5 \times 100}{9 \times 1} [/tex]
[tex]\sf \longmapsto \: \dfrac{500}{9} [/tex]
In Percentage:-
[tex]\sf \longmapsto \: \cancel \dfrac{500}{9} [/tex]
[tex]\sf \longmapsto \: 55.55\%[/tex]
[tex]\sf{55.55\% (Band)}<\sf{57\%(Chorus)}[/tex]
Chorus has more studentsplease help me i’ll give brainlist
Answers
Answer:
See explanation below
Step-by-step explanation:
1. 0.65 = 65/100
not 65/1000
65/1000 is 0.065. We want 0.65.
2. 0.65 = 65/100 = 13/20
For every $100 Oliver gets paid, Oliver donates $25 to charity. How much will he have donated if he
earns $2,000?
Answers
Answer:
$500 donated to charity
Step-by-step explanation:
2,000 times 0.25 is 500
Answer:
$1500
Step-by-step explanation:
Oliver gives 1/4 of the amount he gets paid to charity therefore
2000/4= 500 (this is 1/4 of the amount he gets paid)
2000-500=$1500
He is left with $1500
Which comparison is incorrect?
-3> -7
-9> 4
-4>-6
7>5
Answers
Answer:
-9> 4
Step-by-step explanation:
-9> 4
Positive numbers are greater than negative numbers and knowing that makes this comparison incorrect.
Hope this helps :)
A negative cannot be greater than a positive
please help me i’ll give brainlist and points
Answers
Answer:
Area solution
Step-by-step explanation:
A=(16+10)×12/2= 156 m^2
Please take a look at the picture for question
Answers
hope i made your day
damon swam 0.68 km in the pool for each day for 2 weeks how many meters did damon swim in those 2 weeks
Answers
Answer:
10,080,000 (because 720×14, the total number of days he swam in two
Step-by-step explanation:
A car is traveling down a highway at a constant speed, described by the equation d=65t , where d represents the distance, in miles, that the car travels at this speed in t hours.
Complete the statement about the meaning of 65 in this situation.
The car travels_________ miles in ________ hour.
Answers
Step-by-step explanation:
10 1
20 miles car travel 65t hb
A. —————-is the number above the fraction bar in a fraction. A ———-is the number below the fraction bar that respresents the number of equal parts in the whole
Answers
Answer:
First numerator and second denominator
Adam's school is 12 miles from his house. It takes his older brother 20 minutes to drive him school. Adam spilled his orange juice his morning, and so they left the house two minute late than usual. How much time does his brother to day to dive him to school?
Answers
Answer:
Well, if it is 20 min usual, then 22 minutes if they left 2 minutes late
Step-by-step explanation:
did you miss part of the question while typing?