!30 POINTS! How can I use this trapezoid to prove the Pythagorean Theorem?

Answer:

1) 280

There are 60 minutes in an hour. 60/15 is four. 4*70 is 280

2)384

640/5=128

128*3=384

3) 24

216/9=24

4)3

4.5=18/4

six times as many as you need.

1/2 times 6 is 3.

5)1120

280*4=1120

Hope this helps!

From the equation of the elipse, we have that:

The equation of an elipse of center [tex](x_0,y_0)[/tex] has the following format:

[tex]\frac{(x - x_0)^2}{a^2} + \frac{(y - y_0)^2}{b^2} = 1[/tex]

If a > b, we have that:

In this problem, the equation is:

[tex]\frac{(x - 2)^2}{36} + \frac{(y + 3)^2}{24} = 1[/tex]

Thus [tex]x_0 = 2, y_0 = -3, a = 6, b = \sqrt{24}[/tex]

For the major axis:

[tex]x = x_0 \pm a[/tex]

[tex]x = 2 \pm 6[/tex]

[tex]x = 2 - 6 = -4[/tex]

[tex]x = 2 + 6 = 8[/tex]

The endpoints of the major axis are: [tex]x = -4[/tex] and [tex]x = 8[/tex]

For the minor axis:

[tex]y = y_0 \pm b[/tex]

[tex]y = -3 \pm \sqrt{24}[/tex]

[tex]y = -3 - \sqrt{24}[/tex]

[tex]y = -3 + \sqrt{24}[/tex]

The endpoints of the minor axis are: [tex]y = -3 - \sqrt{24}[/tex] and [tex]y = -3 + \sqrt{24}[/tex].

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Answer:

joaobezerra is right its just a bit confusing to understand but here you go

Step-by-step explanation:

Answer:

ergerge

Step-by-step explanation:

Answer:

What is it freaking asking???

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides )

Here n = 5 , then

sum = 180° × 3 = 540°

Sum the given angles and equate to 540

2b - 90 + 90 + b + 45 + b + [tex]\frac{3}{2}[/tex] b = 540, collect like terms

4b + 1.5b  + 45 = 540 ( subtract 45 from both sides )

5.5b = 495 ( divide both sides by 5.5 )

b = 90

then

2b - 90 = 2(90) - 90 = 180 - 90 = 90

b + 45 = 90 + 45 = 135

[tex]\frac{3}{2}[/tex] b = 1.5b = 1.5 × 90 = 135

The angles from least to greatest are

90° , 90° , 90° , 135° and 135°

Answer:

y = x + -2.3

x = -y - 2.3 (but why would one need this?...)

Step-by-step explanation:

(6.1 - (-9.7))/(8.4 - (-7.4)) = 15.8/15.8 = 1

6.1 = 8.4 + b

b = -2.3

Answer:

Step-by-step explanation:

3/4 = 0.75 pound

1 : 0.75 = x : 1

x = 1 * 1 : 0.75

x = 1.33

--------------check

1 : 0.75 = 1.33 : 1

1.33 = 1.33

the answer is good

Answer:

[tex]1 \frac{1}{3}lb \: sausage[/tex]

Step-by-step explanation:

What Iike to do is make it like a ratio.

So you have one pound of sausage per 3/4lb of cheese

[tex] \frac{1lb \: sausage}{( \frac{3}{4} )lb \: cheese} = \frac{sausage}{1lb \: cheese} [/tex]

Then you just make that sausage the subject of the equation by multiplying 1lb cheese to both sides of the equation, and you have your answer.

[tex]1lb \: cheese \times \frac{1lb \: sausage}{0.75 \: lb \: cheese} = sausage[/tex]

Answer:

The inequality expression would be 1.75+0.65x ≥10

She would be able to ride ~12.7 miles or just 12 miles rounding down.

Step-by-step explanation:

Following mx+b, the m value would be 0.65 because it is added per mile.

The 1.75 would be the b value because it is the starting value.

So the equation would look like 1.75+0.65x. To know if the 10 value would be less than or more than, we have to know if 10 is the limit value or starting value. Because 10 is our limit value, we will use greater than or equal to.

To know how many miles Erica could travel, we would have to subtract 1.75

from 10. We would get 8.25. We would then divide 8.25 by 0.65. so the number of miles she can travel is ~12.7 miles or just 12 miles rounding down.

Answer:

It may help if we could read it

Answer:

16

Step-by-step explanation:

convert 40 minutes to hours

[tex] \frac{40 \: minutes}{1} \times \frac{1 \: hour}{60 \: minutes} = \frac{40}{60} = \frac{2}{3} hour[/tex]

multiply to find the number of cars per hour

[tex] \frac{2}{3} \times \frac{6}{1} = \frac{12}{3} = 4 \: cars \: per \: hour[/tex]

multiply again

[tex]4 \times 4 = 16[/tex]

Let the bigger number be 'p' and the smaller number 'p'.

Since the numbers have a difference of 8, then  p - q = 8

& since the larger number is two more than twice the smaller, then

                                                                                                        p = 2q + 2

⇒   (2q + 2) - q = 8                       [by substituting for equation for p]

                     q = 6

Since q = 6,

⇒  p - 6 = 8

          p = 14

∴ the smaller number is 6 and the bigger 14

Answer:

25 centimeters

Step-by-step explanation:

We can use the Pythagorean Theorem to find the length of a missing side of a right triangle

Pythagorean Theorem: a² + b² = c²

where a and b = legs and c = hypotenuse

For the following problem we are given two legs and need to find the hypotenuse, to do so we simply plug in the length of the legs and solve for the hypotenuse  or "c"

Leg lengths = 7 and 24

So a = 7 and b = 24

So we plug in 7 and 24 for a and b and solve for c

a² + b² = c²

a = 7

b = 24

(7)² + (24)² = c²

simplify exponents

49 + 576 = c²

add 59 and 576

625 = c²

take the square root of both sides

√625 = 25

√c² = c

we're left with c = 25

So the length of the hypotenuse would be 25 centimeters

Answer:

$32

Step-by-step explanation:

The variables in this equation are already defined. So we know that whatever d is equal to will be the cost, and therefore, the final answer. Additionally, s is the number of pounds of steak, so it is an independent variable. To solve this equation, plug in the number of pounds, 4, into the equation for s. Also, 8 is the unit price for the steak, so this multiplied by the amount of steak must be the total cost. This makes the new equation, d=8(4). Finally, multiply these numbers to get d=32. So the final cost for 4 pounds of steak must be $32.

Answer:

32 dollars

Step-by-step explanation:

The Equation to calculate the total price(d) based on the pounds of ribeye steak(s) sold if given as:

d = 8S

So, to calculate the total price(d) of 4 pounds of steak, all we need do is to substitute 4 into the given formula

That is,

d = 8(4)

d = 32 dollars

Therefore the price of 4 pounds of steaks is 32 dollars

Answer:

JNM=42

Step-by-step explanation:

JNM is equal to LNK so you can set the equations equal to each other.

7x-21=4x+6, subtract 4x from both sides

3x-21=6, add 21 to both sides

3x=27, divide by 3

x=9, then you plug it into an equation

4 times 9 + 6

36+6

42

<JNM = [tex]42[/tex] degrees.

The angle made by two ground lines is measured horizontally , and is called a horizontal angle.

According to the question

Line J L and line M K slightly inclined with horizontal intersects at N.

<JNM = <LNK

[tex]4x + 6 = 7x - 21[/tex]

Subtract 4x from both sides

[tex]6 = 3x -21[/tex]

[tex]3x=27[/tex]

Divide by 3

[tex]x=\frac{27}{3}[/tex]

[tex]x =9[/tex]

<JNM = [tex]4x+6[/tex]

<JNM = [tex]4(9)+6[/tex]

<JNM = [tex]42[/tex] degrees

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The rate of change is 2/3

rise = 2

run = 3

rise/over = 2/3

Answer: 2/3 is gonna be your answer. Trust me I have done this exact

g o o g l e form before!

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The difference between a number and its successor is 1

The estimates of the square roots and cube roots using the attached process are;

1) √15 = 3.81

2) √44 = 6.6.

3) √81 = 9

4) ∛12 = 2.88.

5) ∛125 = 5

6) ∛320 = 6..8

Perfect squares from 1 to 100; 4, 9, 16, 25, 36, 49, 64, 81, 100

Perfect cubes from 1 to 1000; 1, 8, 27, 64, 125, 216, 343, 512, 729 and 1000.

1) √15;

The nearest perfect squares to it are; 9 and 16

Thus; √9 < √15 < √16

⇒ 3 < √15 < 4

This means that √15 is between 3 and 4.

Since 15 is closer to 16 than 9, it means √15 is closer to 4 and thus, we can estimate √15 as 3.81.

2) √44;

The nearest perfect squares to it are; 36 and 49

Thus; √36 < √44 < √49

⇒ 6 < √44 < 7

This means that √44 is between 6 and 7.

Since 44 is closer to 16 than 9, it means √44 is closer to 6 and thus, we can estimate √44 as 6.6.

3) √81

This is a perfect square and the method used to estimate other non-perfect square doesn't apply here. Thus; √81 = 9

4) ∛12

The nearest perfect cubes to it are; 8 and 27

Thus; ∛8 < ∛12 < ∛27

⇒ 2 < ∛12 < 3

This means that √12 is between 2 and 3.

Since 12 is closer to 8 than 27, it means ∛12 is closer to 2 than 3 and thus, we can estimate ∛12 as 2.88.

5) ∛125

This is a perfect cube and the method used to estimate other non-perfect cubes doesn't apply here. Thus; ∛125 = 5

6) ∛320

The nearest perfect cubes to it are; 216 and 343

Thus; ∛216 < ∛320 < ∛343

⇒ 6 < ∛320 < 7

This means that ∛320 is between 6 and 7.

Since 320 is closer to 343 than 216, it means ∛320 is closer to 7 than 6 and thus, we can estimate ∛320 as 6..8

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Answer:

(1,2)

Step-by-step explanation:

6 km/h going north for 20 mins would be 1/3 of an hour so 1/3 of 6. This would mean they walked 2 kilometers north. That's your y-coordinate. They walked 6 kilometers an hour going east for 10 mins. 10 mins is 1/6 of an hour and 1 is 1/6 of 6. So 1 is your x-coordinate. You put the numbers in as (x, y).

If the swimming pool is at the origin (0, 0) then the position of the ice cream shop is (1,2) and this can be determined by using the unitary method and also by using the formula of speed.

Given :

The following steps can be used in order to determine the position of the ice cream shop:

Step 1 - Remember 1 hour is equal to 60 minutes.

Step 2 - If one hour is equal to 60 minutes then in 20 minutes there are:

[tex]\rm \dfrac{20}{60}=\dfrac{1}{3}\;hour[/tex]

Step 3 - If one hour is equal to 60 minutes then in 10 minutes there are:

[tex]\rm \dfrac{10}{60}=\dfrac{1}{6}\;hour[/tex]

Step 4 - Determine the distance travel in the north which gives the y-coordinate.

[tex]\rm Distance = 6\times \dfrac{1}{3}=2\;Km[/tex]

Step 5 - Determine the distance travel in the east which gives the x-coordinate.

[tex]\rm Distance = 6\times \dfrac{1}{6}=1\;Km[/tex]

So, the position of the ice cream shop is (1,2).

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Answer:

$18.2

Step-by-step explanation:

26.000-30%=18.2

Espero que te ayude :) Me puedes poner como brailiest porfavor?

Answer:

Error

Step-by-step explanation:

The answer is Error u might want to ask ur teacher

Answer:

Yes

Whats the question?

Answer:

Sorry I don't see the picture

Step-by-step explanation:

Add 17 to both sides-

3s - 17 = 19

+17 +17

Now, divide both sides by 3-

3s/3 = 36/3

Which gives the answer of s = 12

hope this helps !! :)

Answer:

b

Step-by-step explanation:

Answer:

Ufiriruutututirjehf3j3ieygrjrufhgvtjtjtbtvtvthghhffhbfbf

Step-by-step explanation:

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The required 98th term of the arithmetic progression is -374.

Arithmetic progression is the series of numbers that have common differences between adjacent values.

Here,
Given sequence,
14, 10, 6,

First term,
a = 14,
common difference d = 10 - 14 = -4

Explicit formula,
nth term = a + (n -1)d
98th term = 14 + (98 - 1)(-4)
98th term = 14 + 97 (-4)
98th term =  -374

Thus, the required 98th term of the arithmetic progression is -374.

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Answer:

97

Step-by-step explanation:

100 - 3 = 97

Answer:

b 66

Step-by-step explanation:

Answer:

I think

the value of y will be -24

..... when the value of x is 26