10. GradPoint
Determine whether the given lengths can be sides of a right triangle. Which of the following are true statements?


A. The lengths 7, 40 and 41 can be sides of a right triangle. The lengths 12, 16, and 20 can be sides of a right triangle.

B. The lengths 7, 40 and 41 can be sides of a right triangle. The lengths 12, 16, and 20 cannot be sides of a right triangle.

C. The lengths 7, 40 and 41 cannot be sides of a right triangle. The lengths 12, 16, and 20 can be sides of a right triangle.

D. The lengths 7, 40 and 41 cannot be sides of a right triangle. The lengths 12, 16, and 20 cannot be sides of a right triangle.

Answers

Answer 1

Answer:

The lengths 7, 40 and 41 cannot be sides of a right triangle. The lengths 12, 16, and 20 can be sides of a right triangle.

Step-by-step explanation:

You can test this by using the Pythagorean theorem, which states a^2+b^2=c^2

with 7,40 and 41

7^2+40^2 does not equal to 41^2

but with 12,16, and 20

12^2+16^2=20^2

therefore, the last statement is correct.


Related Questions

A rope was tied up so that it was only 7 inches long. When the rope is untied, it is 4 times as long. How many inches long is the rope when it is untied?

Answers

Answer:

28 inches long

Step-by-step explanation:

just multiply 7 and 4

If the rope is 6 inches long when tied than you would do 7 times 4 and get 28 inches or 2 ft and 4 inches

Which is an example of the Associative
Property of Addition?
A. 4 + 2 = 2 + 4
C. 7 + (-7) = 0
B. (2+5) + 7 = 2 + (5+7) D. 8(1) = 8

Answers

Answer:

B

Step-by-step explanation:

Answer:

B. (2+5) + 7 = 2 + (5+7)

Step-by-step explanation:

The Associative Property of Addition states that:

(a+b) + c = a + (b+c).

Or, any three or more numbers added together will have the same sum no matter how they are grouped.

Answer choice B is the only choice that exhibits this, and so, B is the answer.

Hope this helps!

7.0 x 10^3 + 2.0 x 10^2

Answers

Answer:

7200

Step-by-step explanation:

Find the exponents first.

10^3 = 1000

10^2 = 100

So..

7 x 1000 + 2 x 100

Do the multiplication first (BEDMAS - Brackets Exponents Division Multiplication Addition Subtraction).

7000 + 200 = 7200

PLEASE HELP!!

what will happen to the graph of the line y= 3/4x -7 if you change 3/4 to -3/4?


a) the line will intersect

b) the slope of the line will change from positive to negative

c) (4,-4) will become a point on the line

d) the y-intercept will change from negative to positive

Answers

Answer:

B choice

Step-by-step explanation:

[tex]y = mx + b[/tex]

where m = slope and b = y-intercept.

The value of m is 3/4. That means slope is 3/4. Changing 3/4 to - 3/4 will make the slope become negative. Therefore the answer is B.

Answer: b) the slope of the line will change from positive to negative

Work out the percentage change when a price of £400 is decreased to £225
also if Catra sees this question its me Adam i had to make another account.

Answers

Answer:

43.75 percent decrease

Step-by-step explanation:

caslan?

Answer:

adam i got banned on insta

Step-by-step explanation:

I need help with this ​

Answers

Answer:

Here is the summary of true statements:

A) The statement of the function modeled is (0, 3) is TRUE.

D) the equation for the line function is y = 2x+3 is TRUE.

E) the given table represents the linear function is TRUE

Step-by-step explanation:

Given the table

x   1      3      5      7

y   5      9      13     17

E)

It is clear that there is a CONSTANT CHANGE in the x and y values of the graph.

THE CONSTANT CHANGE IN X VALUES

i.e. 3-1=2, 5-3=2, 7-5=2

THE CONSTANT CHANGE IN Y VALUES

i.e. 9-5 = 4, 13 - 9 = 4, 17 - 13 = 4

Thus, the given table represents the linear function is TRUE

B)

It is clear that the value of y increase as the value of x increases.

Thus, the statement ''the value of y decreases as the value of x increases'' is FALSE!

D)

We know that the slop-intercept form of the line equation is

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept.

Determining the equation

Taking two points

(1, 5)

(3, 9)

Finding the slope between (1, 5) and (3, 9)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [9 - 5] / [3 - 1]

               = 4 / 2  

               = 2

Thus, the slope of the line = m = 2

now substituting m = 2 and the point (1, 5) to determine the y-intercept

y = mx+b

5 = 2(1) + b

b = 5-2

b = 3

Thus, the value of y-intercept b = 3

substituting b = 3 and m = 2 in the slope-intercept form

y = mx+b

y = 2x+3

Therefore, the equation for the line function is y = 2x+3 is TRUE

A)

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

We already know that the y-intercept b = 3

It means the y-intercept modeled is (0, 3)

Therefore, the statement of the function modeled is (0, 3) is TRUE.

C)

We have already got the equation

y = 2x+3

substituting x = 8

y = 2(8)+3

y = 10+3

y = 13

so at x = 8, the value of y = 13

Therefore, the statement that the ''On a graph of the function when x = 8, the value of y will be 2'' is FALSE!

Conclusion:

Here is the summary of true statements:

A) The statement of the function modeled is (0, 3) is TRUE.

D) the equation for the line function is y = 2x+3 is TRUE.

E) the given table represents the linear function is TRUE

someone please help

f(x) = 2x2 - 5
and
g(x) = 5x + 7
Find
f(g(x)) = [ ? ]x2 +[ ]x + [ ]

Answers

9514 1404 393

Answer:

  f(g(x)) = 50x² +140x +93

Step-by-step explanation:

Put the function argument in place of x and simplify.

  f(g(x)) = f(5x+7) = 2(5x+7)² -5

  = 2(25x² +70x +49) -5

  f(g(x)) = 50x² +140x +93

_____

We took advantage of the knowledge that ...

  (a + b)² = a² +2ab +b² . . . . . where a=5x and b=7

Can someone pls help me with these two

Answers

That first one would be 14/ tan( 13)

The second would be 9 x cos(47)

VOO AM
advwritingsystemsquiz (1)
Jan 28, 2021 at 11:04 AM
Two numbers add to 154. The same two numbers have a difference of 24.
match the situationO

Answers

Answer:

The answer is 44! The answer is 44!

Step-by-step explanation:

The answer is 44!

Alonzo's game started at 9:20 AM.
The game lasted 2 hours and 15 minutes.
What time did the game end?

Answers

Answer:

11:35 AM

Step-by-step explanation:

Lets start with the hours:

9+2=11

Now the minutes:

15+20=35

Now put them together:

11:35 AM

Answer:

11:35

Step-by-step explanation:

9 plus 2 equals 11

20+15 equals 35

URGENT‼️‼️‼️ solve the triangle using law of sines and cosines.

Answers

Answer:

[tex]m\angle C=20^{\circ}\\m\angle B = 127^{\circ}\\b=37\\[/tex]

Step-by-step explanation:

The Law of Sines for any triangle is:

[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex]

Let's solve for [tex]m\angle C[/tex] first:

[tex]\frac{\sin33^{\circ}}{25}=\frac{\sin (m\angle C)}{16},\\\sin (m\angle C)=\frac{16\cdot \sin33^{\circ}}{25}, \\m\angle C= \sin^{-1}(\frac{16\cdot \sin33^{\circ}}{25})\approx \fbox{$20^{\circ}$}[/tex]

Since the sum of the interior angles in a triangle is always [tex]180^{\circ}[/tex], the measure of angle B is [tex]m\angle B=180-33-20=\fbox{$127^{\circ}$}[/tex].

Now we can use to solve for side length [tex]b[/tex]:

[tex]\frac{\sin33^{\circ}}{25}=\frac{\sin 127^{\circ}}{b},\\b=\frac{25\cdot \sin127^{\circ}}{\sin33^{\circ}}\approx \fbox{37}[/tex].

A basketball costs $15.00. If the sales tax is 6%, which equation can be used to find the amount of tax?

Answers

Answer:

Tax amount = $15.00 x 0.06 =0.9

Total amount of the basketball = $15.00 x 1.06 = $15.90

Answer:

Tax amount = $15.00 x 0.06 =0.9Total amount of the basketball = $15.00 x 1.06 = $15.90

Step-by-step explanation:

The rational number lies between −67/7 and−78/8


Pls explain and pls don't write bad answer pls

Answers

9514 1404 393

Answer:

   -135/14

Step-by-step explanation:

There are an infinite number of rational numbers between any pair of numbers you name. These two number have the decimal values ...

  -67/7 = -9 4/7 = -9.571428... (repeating)

  -78/8 = -9 3/4 = -9.75

So, numbers like -9.6 = -48/5, or -9.7 = -97/10 are rational numbers that lie in the range you specified.

If you like, you can convert these numbers to ones with a common denominator (56).

 -67/7 = -536/56

 -78/8 = -546/56

These limits suggest several possible rational numbers with 56 as a denominator: -540/56 = -135/14, for example.

i need help this too help me and thank you and thank you

Answers

Answer:

minimum

Step-by-step explanation:

this is a minimum since the vertex is at the bottom

it would be a max if the vertex is at the top and the graph opens down

Minimum
Mark brainliest

Triangle JKL is formed by plotting three points, as shown below. What is the length of side
JK?

Answers

Answer:

5

Step-by-step explanation:

You have to add the boxes between j and k and that’s how u get your length

I need help for this question

Answers

Answer:

A scale factor of 4in to 5in should be used

Step-by-step explanation:

Given

[tex]Original\ Measurement = 4.5\ in[/tex]

[tex]Scale\ Measurement = 3.6\ in[/tex]

Required

Determine the scale to use

The scale to use can be represented as:

[tex]Scale = Scale\ Measurement : Original\ Measurement[/tex]

This gives:

[tex]Scale = 3.6\ in : 4.5\ in[/tex]

Divide by 0.9

[tex]Scale = \frac{3.6}{0.9}\ in : \frac{4.5}{0..9}\ in[/tex]

[tex]Scale = \frac{3.6}{0.9} : \frac{4.5}{0.9}[/tex]

[tex]Scale = 4 : 5[/tex]

PLEASE HELP!!! ILL MARK BRAINLIEST THANKS!!!!

Answers

The correct answer seems to be “C”
the right answer is c

y=2x-1
2x-y-1=0

A. This system has infinitely many solutions

B. This system has exactly one solution

C. This system has no solution

D. (1,1) (0,0)

Answers

Step-by-step explanation:

y=2x-12x-y-1=0

2x-(2x-1)-1=0

2x-2x+1-1=0

0=0

I think,this system has no solution

Help ill mark u brainliest

Answers

answer:

8x - 16 + 5x + 15 = 90

and

8x - 6 + 18x + 4 = 180

Which of the equations can be used to solve for the value of X?

A. 2x = 52
B. 2x + 54 = 90
C. 2x + 52 = 180
D. 2x + 52 + 90 = 180

Answers

Answer:

The answer is A.

the angles are opposite angles, therefore they have the same value. they're equal to each other. you set them equal to each other to find the value of x.

Step-by-step explanation:

i hope this helps :)

Please help ASAP!!!!

Answers

Answer:

(-2, 0, 1, 3)

Step-by-step explanation:

From the given graph, there are four x-intercepts, which are the points the graph crosses the x-axis

Taking the y-axis as the given vertical line, and each demarcation as representing one unit division, we have;

The x coordinates of the x-intercepts are given as follows;

1) Two lines to the left of the origin which represents "-2"

2) Through the origin, which represents "0"

3) One line to the right of the origin which represents "1"

4) Three lines to the right of the origin which represents "3"

The set of values that represents the x-intercepts of the function are;

(-2, 0, 1, and 3)

How do I do this/solve help me if you know it!

Answers

Answer:

it should be B, sorry if im wrong! :(

Step-by-step explanation:

Noa is making a circular party cake for her sister Léa. He only has the icing left to put on his cake which measures 22cm in radius and which has a height of 11cm. He ran to the store with his remaining $ 5.33 and chose two types of ice cream. The most beautiful but the most expensive will cost him $ 0.20 / 100cm2. Can he buy it or must he take the one that is less expensive?
I WILL GIVE BRAINLIEST

Answers

Answer:

C = 2π22 = 138.230076

138.230076 X 11 = 1520.53084

π22^2 = 1520.53084

1520.53084 + 1520.53084 = 3041.06168

3041.0 cm squared

divide by 100 = 30.41

30.41 X 0.2 = 6.082

$6.08

he must take less expensive

It equals 440 not 100.

Answers

Answer: Exactly what I said!

Step-by-step explanation:

320 + 120 = 440

Not 100!

If it was 220 - 120, it would be 100!

Thanks for the free points by the way! :3

A jar black beans and pinto beans in a ratio of 1 : 4, and 180 of the beans are black beans. How many beans in total are there in the jar?

Answers

Answer:

720 beans in total

Step-by-step explanation:

I would set this up with proportions, so-

1             180

4             x

Then cross multiply-

4 x 180 = 720

Divide-

720/1 = 720

720 is your answer

A car is traveling at a rate of 35 meters per second. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 3 hours? Do not round your answers.

Answers

Answer:

126 km/h

378 km

Step-by-step explanation:

To convert m/s into km/h, we multiply it by 3.6.

35 m/s x 3.6 = 126 km/h.

Distance travelled in 3 hours = 126 x 3 km = 378 km.

ABC is a straight angle.
Find measure of ABX and measure of CBX

Answers

14x + 70 + 20x + 8 = 180
34x + 78 = 180
34x = 102
x = 3
ABX = 14(3) + 70 = 112
CBX = 180 - 112 = 68

300,000 -7,000 + 100 + 60 +3?

Answers

Answer:

293,163

Step-by-step explanation:

300,000-7,000+100+60+3

293,000+100+60+3293,100+60+3293,160+3293,163

i need help with geometry

Answers

Answer:

AAS only

Step-by-step explanation:

vertical angle

What is the equation of the line that passes through the point (-3,4) and has a slope of zero?

Answers

Answer:

y = x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1, thus

y = x + c ← is the partial equation

To find c substitute (- 3, 4) into the partial equation

4 = - 3 + c ⇒ c = 4 + 3 = 7

y = x + 7 ← equation of line

Hope this helps.

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