How do you know that the Pythagorean Theorem is true?

Answers

Answer 1

The fact that the angles in a triangle add up to 180 indicates that it is actually a square). There are also four right triangles, each with a base and a height. The Pythagorean Theorem is reached when a2 + b2 = c2.


Related Questions

Find the output, y, when the input, z, is 6.
8+
6+
4+
A
H
.
4
-2
2
4
6
6
8
-2-
-4+
-6-1
87
Report a problem

Answers

Answer:

when the x input is 6 the y output is 7

Roberto’s science grade is calculated using a weighted average quizzes are worth 25% homework is worth 10% unit tests are worth 30% and labs are worth 35%. Roberto earned an average of 94% on his quizzes, 99% on his homework, 92% on his unit test, and 94% on his labs. What is Roberto’s final science grade?

93.3%
93.9%
94.8%
95.3%

Answers

Answer:

the answer should be 93.9% let know if in wrong

Roberto's science grade as per weighted average is equals to 93.9%.

What is average?

" Average is defined as the ratio of total of all the given data to the total number of quantities in the data."

Formula used

Weighted average'W' = ( ∑[tex]w_{i} x_{i}[/tex] ) / ( ∑[tex]w_{i}[/tex] ) , where i = 1, 2,.... n

W= weighted average

n = number of terms to be averaged

w = weight applied to x values

x = data values to be averaged

According to the question,

Given,

Weight applied to quiz 'w₁' = 25%

Weight applied to homework 'w₂' = 10%

Weight applied to to unit tests 'w₃'= 30%

Weight applied to labs 'w₄' = 35%

Average on quiz Roberto earned 'x₁'= 94%

Average on homework Roberto earned 'x₂'= 94%

Average on unit test Roberto earned 'x₃'= 94%

Average on labs Roberto earned 'x₄' = 94%

Substitute the values in the formula we get,

Weighted average

= [ (25 × 94) +(10× 99) + (30 × 92) +(35 ×94)] / ( 25+10+30+35)

= (2350 +990 + 2760 + 3290) / 100

= 9390 / 100

=93.9%

Hence, Roberto's science grade as per weighted average is equals to 93.9%.

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Mark rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a factor of 18.

Answers

Answer:

1/3

Step-by-step explanation:

Factors of 18 are 1,2,3,6,9

find x and y. use proper postulates or theorems to justify your answer

Answers

Answer:

x = 110

y = 23

Step-by-step explanation:

For X :

100 = x -10

110 = x

Corresponding angles are equal

For Y :

180 - 110 = 70

(2y + 24) = 70

2y = 46

y = 23

Adjacent Angles on a straight line add up to 180 Degrees

Write the linear inequality shown in the graph. The gray area represents the shaded region.

x > –3
y ≥ –3
y > –3
x ≥ –3

Answers

Answer:

y > –3

Step-by-step explanation:

by looking at the graph we notice that the (shaded/gray) area which we are focusing on covers all the values of x ,on the other hand it only covers the values of y which they are Greater than -3

Remark : y > -3 not y ≥ -3 because the line that separates the shaded region and the other one is a broken line.

Answer:

y > –3

Step-by-step explanation:

If measure of angle T= (2x + 85), measure of angle V= (5x + 29), and
the sum of the measures of the angles is
93°, find the measure of each angle.

Answers

Answers:

Angle T = 79 degrees

Angle V = 14 degrees

=========================================================

Work Shown:

T + V = 93

(2x+85) + (5x+29) = 93

7x+114 = 93

7x = 93-114

7x = -21

x = -21/7

x = -3

This x value is used to find each angle mentioned.

Angle T = 2x+85 = 2(-3)+85 = -6+85 = 79 degreesAngle V = 5x+29 = 5(-3)+29 = -15+29 = 14 degrees

As a check, T+V = 79+14 = 93 which confirms our answers.

Answer:

An alternate interior angle, c, 180 degrees

Step-by-step explanation:

did it

A department store has 950 customers one day, and 82% of customers made a purchase. Of the customers who made a purchase, 528 bought just one item, 186 bought two items, and the remainder bought three or more items. How many customers bought three or more items?

Answers

Answer:

65 bought 3 or more items.

Step-by-step explanation:

See attached summary.  The total purchasing customers was 779 (0.82*950).  Use the percentages to calculate calculate the numbers of customers who purchased one and two items (528 and 186).  Add those and subtract from the total number of customers who purchased anything (779) , to arrive at the number who bought three or more items.  65 bought three or more items.

I need help with this question really badly please help.

Answers

D: of ;;;9d 38383 valise irl for 1

What is the area of the parallelogram shown? A) 60in B) 120in C) 140in D) 180in. + What is the area of a parallelogram that has a base 5 inches longer and the height 5 inches taller than a parallelogram shown? A) 230in B) 260in C) 290in D) 310in.

Answers

120 in sq.  ,   260 in sq.Step-by-step explanation:question 1.area of a parralelogram = perperndicular height x basetherefore area = 8in x 15 inarea is 120in sq.question 2.the second parallelogram dimensions are as followsheight = 8 in +5 in = 13 inbase = 15in + 5in = 20therefore area = 13x20area = 260 in sq.

2. On the first day of a month, Leann's savings account had $176. During the
month, Leann deposited $198 and spent $160 of her money. What was
Leann's account balance at the end of the month?
⚫️-138 dollars
⚫️534 dollars
⚫️214 dollars
⚫️-182 dollars

Answers

C or 214 dollars. You would add 198 to the 176 already in the account and then subtract the 160 spent.
Or
176+198-160

Farah has been saving money for years. Pearl's money is 3 times as much as
3
5
of Farah's money. They have $672 altogether. How much does Farah have now?

Answers

Answer:

$168

Step-by-step explanation:

x + 3x = 672

4x = 672

x = 672 / 4

x = 168

Farah has $168

Help help help ASAP sap

Answers

Answer:

132

Step-by-step explanation:

since they are 180 degrees subtract

Answer:

132

Step-by-step explanation:

since this is a 180 degree angle ABC will be

180-48

132

PLEASE HELP PLEASE I WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

This is a quadrilateral.

Sum of all angles of a quadrilateral = 360

x + 100 + 60 + 95 = 360

        x  + 255       = 360

                        x = 360 - 255

                        x = 105°

Answer:

Angle X= 105 Degrees

Step-by-step explanation:

1. Create Equation

100+60+95+x=360

2. Solve

100+60+95+x=360

160+95+x=360

255+x=360

255-255+x=360-255

x=105

3. Check

100+60+95+105=360

160+95+105=360

255+105=360

360=360

Correct!

4. Answer

x=105

How to illistrate 1/3×1/2

Answers

Answer:

=1/6

Step-by-step explanation:

thats the answer

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Find the volume of a box that has a length of 8.9 cm, a
width of 4 cm, and a height of 10.6 cm.

Answers

Answer: 377.36cm^2

Step-by-step explanation:

1. find proper equation. to find the volume of any three dimensional cube or box, use: length * width * height

2. plug in given numbers into the equation: 8.9cm * 4cm * 10.6* which gives us our answer, 377.36cm^2

hoped this helped! ♡

find x correct to 2 decimal places

Answers

Answer:

Step-by-step explanation:

The value of x in the triangle is 205.24 calculated by using tan function.

By using tan function we find the value of x.

Let us divide x to two parts which includes two right triangles.

We know than tan function is a ratio of opposite side and adjacent side.

tan 55 = 106/adj

adj= 106/1.428

adj=74.22

Now let us find the adjacent side length of larger triangle similarly.

tan 39  = 106/ adj

0.809 = 106/adj

adj=106/0.809

adj=131.025

So the value of x is 74.22+131.025

=205.245

Hence, the value of x in the triangle is 205.24.

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Leon and Omar went to grab ice cream after track practice. They each chose a container shaped like a cone or a cylinder. The dimensions of each container are shown in the drawing.

Answers

The volume of the cone and cylinder with a radius of 7 cm and height of 10 cm is 513.33 cm³ and 1540 cm³ respectively.

What is volume?

Volume is the amount of space occupied by a three dimensional shape or object.

Let us assume the cone and cylinder has a radius of 7 cm and height of 10 cm, hence:

Volume of the cone = (1/3) * π * radius² * height = (1/3) * π * 7² * 10 = 513.33 cm³

Volume of the cylinder = π * radius² * height = π * 7² * 10 = 1540 cm³

The volume of the cone and cylinder with a radius of 7 cm and height of 10 cm is 513.33 cm³ and 1540 cm³ respectively.

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Can you help me out?

Answers

1) Unanswered (Sorry)

2) Find the cost of a four-line ad
[tex]x = 4 \\Therefore,\\c(4) = 30[/tex]

3) Find the cost of a ten-line ad
[tex]x = 10\\Therefore,\\c(10) = 30 + 5(x - 4)\\c(10) = 30 + 5x - 5(4)\\c(10) = 30 + 5x - 20\\c(10) = 30 + 5(10) - 20\\c(10) = 30 + 50 - 20\\c(10) = 60[/tex]


Solve: 101x-99y=103
-99x+101y=-97

Answers

Answer:

[tex]x=2; y=1[/tex]

Step-by-step explanation:

Let's remember that if we replace one equation in a system with a linear combination of the equations (ie adding or subtracting them together, after multiplying them with some nice numbers) we are left with an equivalent system. So let's add and subtract them together, and use the new equations to work with.

[tex]I+II: 2x+2y=6\\I-II:200x-200y=200[/tex]

Better, now let's simplify the expression and let's use the new system

[tex]x+y=3\\x-y=1[/tex]

Done. At this point you can use whatever method you like to solve the system to get to the final solution. Adding and subtracting works great, and you get [tex]x=2, y=1[/tex] which, if you check by replacing in the original, is indeed a valid solution.

The ingredients for your skillet brownie cost $1.89. You want your food cost percentage for this item to be 30% or lower. What's the lowest price you can charge? Round to the nearest cent.

choices:
a.
$5.98

b.
$6.00

c.
$5.67

d.
$6.30​

Answers

Answer:

Your want your food cost forthis item to be 30% or lower. What's the lowest price you can charge? Round to the nearest cent.

1 answer

·

1 vote:

$2 / 0.3 = $6.67Check:$6.67 * 0.3 = $2 :)

Missing: choices: ‎$5.98 ‎$6.00 ‎c. ‎$5.67 ‎d. ‎$6.30​

Step-by-step explanation:

The lowest price you can charge is $6.30

How to determine the cost?

We have:

Skillet brownie = $1.89Percentage of food cost = 30% or lower

The lowest price you can charge is calculated as:

Lowest = Skillet brownie/Percentage

This gives

Lowest = $1.89/30%

Evaluate

Lowest = $6.30

Hence, the lowest price you can charge is $6.30

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Find the mean of the data.

55,64,58,43,49,67

Answers

Answer=56 because we take sums of the number we divide by how many number are there (55+64+58+43+49+67)all divide by 6 because we have six number so we get 56

Answer:

56

Step-by-step explanation:

Step 1: Order the data

43,49,55,58,64,67

Step 2: Count all numbers and add them up

43+49+55+58+64+67=336 and we have 6 numbers in total so... 336 ÷ 6

Step 3: Divide!

336 ÷ 6 = 56

Hope this helps you!

show all working convert the following improper fractions to mixed numbers in it's lowest terms. 96/7?

Answers

Answer:

13 5/7

Step-by-step explanation:

7 can fit into 96 13 times, So 96-(7x13) is 5. 5/7 is remaining.

The results of a color spinner experiment are shown in the table. Consider the experimental probability of the spinner landing on green. If the experiment is repeated with 50 spins, what is the prediction for the number of spins that will land on green? Result Frequency Blue 7 Red 9 Green 6 Yellow 8

Answers

Answer: 10

Step-by-step explanation:

hope this helps

PLEASE HELP ME
( I WILL MARK BRAINLIEST )

Answers

the numbers are 15, 17 and 19

What does 5/x = 7/x+2 equal?
Solve by cross multiplying.
(5 over x and 7 over x+2)

Answers

Answer:

I have no idea ask 567 9922 mathe teacher

Hey there!

[tex] \rm{\frac{5}{x} = \frac{7}{x + 2} }[/tex]

Solve:--

[tex] \sf\rightarrow \: (7)(x) = (5)(x + 2)[/tex]

[tex] \sf\rightarrow \: 7x = 5(x + 2)[/tex]

[tex] \sf\rightarrow \: 7x = 5x + 10[/tex]

[tex] \sf\rightarrow \: 7x - 5x= 5x + 10 - 5x[/tex]

[tex] \sf\rightarrow \: 2x= 10 [/tex]

[tex] \sf\rightarrow \: \frac{ 2x}{2}= \frac{10 }{2}[/tex]

[tex] \sf\rightarrow \: x= 5[/tex]

~Done~

Find the volume of the composite shape. And round to the nearest tenth.

Answers

Answer:

2010

Step-by-step explanation:

volume of a cube= hxlxw

5x5x5=125

V=πr2h

π10^2x6=1884.9=1885

1885+125=2010

tickets originally worth p dollars were discounted by 28%. which expression represents the discounted price of the tickets?

Answers

Answer:

.72p

Step-by-step explanation:

1p equals the original price

100 percent of p

we are reducing it by 28 percent, which means only 72 percent of p will remain

72 percent or .72

.72p

Determine where the given function is concave up and where it is concave down.

q(x) = 8x3 + 2x + 8

Answers

Answer:

concave up

Step-by-step explanation:

there is no negatives in the equation (in front of x-value)

If 6/10 is multiplied by a fraction less than one what will be the product?

Answers

Answer:

If 6/10 is multiple by a fraction less then one the product would be 1/2

Step-by-step explanation:

6/10 is also equal to 0.6

If 0.6 is multipled by something less then one the product would not be able to be greater then 6/10

Resulting in 1/2 being the product.

Answer: All you gotta do is multiply 6x10 and then u get 60 so the product of of 6/10 is 60

Every 24 hours, the earth rotates 360° about its axis. How
long does it take to rotate 150°?

A. 8 h

B. 10 h

C. 18 h

D. 20h

Answers

360 degrees / 24 hours = 15 degrees per hour


150 degrees / 15 degrees per hour = 10 hours


Answer: 10 hours

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