Which set of numbers can represent the side lengths, in inches, of an acute triangle? 4, 5, 7 5, 7, 8 6, 7, 10 7, 9, 12 Which set of numbers can represent the side lengths, in centimeters, of a right triangle? 8, 12, 15 10, 24, 26 12, 20, 25 15, 18, 20

Answers

Answer 1

Answer:

1) 5, 7, 8

2) 10, 24, 26

Step-by-step explanation:

1) For an acute triangle, the square of the longest side is less than the sum of the square of the two smaller sides.

a) 4² + 5² = 16 + 25 = 41

7² = 49 > 4² + 5².  Therefore the triangle is not acute

b) 5² + 7² = 25 + 49 = 74

8² = 64 < 5² + 7².  Therefore the triangle is acute

c) 6² + 7² = 36 + 49 = 85

10² = 100 > 6² + 7².  Therefore the triangle is not acute

d) 7² + 9² = 49 + 81 = 130

12² = 144 > 7² + 9².  Therefore the triangle is not acute

2) For a right angled triangle, the square of the longest side is equal to the sum of the square of the two smaller sides.

a) 8² + 12² = 64 + 144 = 208

15² = 225 > 8² + 12².  Therefore the triangle is not a right triangle.

b) 10² + 24² = 100 + 576 = 676

26² = 676 = 10² + 24².  Therefore the triangle is a right triangle.

c) 20² + 12² = 400 + 144 = 544

25² = 625 > 20² + 12².  Therefore the triangle is not a right triangle.

d) 15² + 18² = 225 + 324 = 549

20² = 400 < 15² + 18².  Therefore the triangle is not a right triangle.


Related Questions

Solve the equation for x.

Answers

Answer:

x = 7

Step-by-step explanation:

2x + 34 = 4x + 20

2x = 14

x = 7

Is (x - 2) a factor of y = x3 + 2x2 - 9x - 18 ?
A: Yes
B: No
C: Cannot be determined

Answers

B because when factoring you should have more factors especially because there is a cubed

pleaseee helppp meeee!!!!

Answers

5x - 10 = 25 so first you have to add ten to both sides
5x-10=25
+10 +10
5x = 35
Then you divide both sides by 5
/5 /5
X = 7
And that’s how you get it!!

The plot below shows the lengths of 555 neck warmers that Mary knit for a family of giraffes. A line plot labeled volume of juice in fluid ounces shows, moving left to right, labeled tick marks at four, four and one-half, five, five and one-half, six, six and one half, and seven. Dots are plotted as follows: 1 dot above four and one-half; 2 dots above five; 1 dot above six and 1 dot above six and one-half. A line plot labeled volume of juice in fluid ounces shows, moving left to right, labeled tick marks at four, four and one-half, five, five and one-half, six, six and one half, and seven. Dots are plotted as follows: 1 dot above four and one-half; 2 dots above five; 1 dot above six and 1 dot above six and one-half. The shortest warmer was blue. The two longest warmers were pink. How much longer was the combined length of the pink warmers than the length of the blue warmer?

Answers

Answer: The answer is 8

Step-by-step explanation:

It’s Kinda obvious if your teachers asks u to explain its 12 1/2 - 4 1/2 which equals 8 1

2

+

4 1

2

=

17

Calculation steps:

12 1

2

+

4 1

2

=  (12 + 4) + (

1

2

+

1

2

)

=  16 +

1 + 1

2

=  16 +

2

2

=  16 +

2 ÷ 2

2 ÷ 2

=  16 +

1

1

= 8 hope this helps

Answer:

Answer is 8

Step-by-step explanation:

I know because I got the answer right!

Suppose when solving a system of linear equations in two variables, both variables happen to cancel, leaving you with a false statement. How should this be interpreted?
A. The system of equations has infinitely many solutions.
B. The system of equations has no solution.
C. The system of equations is unsolvable.
D. The system of equations has been solved incorrectly.

Answers

Step-by-step explanation:

C. The system of equations is unsolvabl

either a or b since its cancelling out

Describe how you would factor x^2 + 10x - 24. Be specific.

Answers

Answer:

if u have more doubts feel free to ask :)

Step-by-step explanation:

x² + 10x -24  

x² + 12x - 2x - 24          

x(x + 12) -2(x + 12)

(x + 12) (x - 2)

Factors of 24 : ±1 , ±2 , ±3 , ±4 , ±6 , ±8 , ±12,  ±24. Combination of +12 and -2 gives "10" the middle term also " 24"

Can someone help me with this?

Answers

Answer:

(b)

Step-by-step explanation:

I really need the answer now pls help me asap!!

Answers

Answer:

1 A

2 B

3 D

4 B

5 A

6 D

7 C

8 B

9 C

Step-by-step explanation:

1 A

2 B

3 D

4 B

5 A

6 D

7 C

8 B

9 C

7th grade math help me pleaseeee

Answers

Answer:

Step-by-step explanation:

the first one is a negative correlation

check the above for first

Rhonda deposited $3000 in an account in the Merrick National Bank, earning 4.2% interest, compounded annually. She made no deposits or withdrawals. a) Write an equation that can be used to find B, her account balance after t years. b) Find the amount in her bank account after 6 years to the nearest cent

Answers

Answer:

below

Step-by-step explanation:

that is the procedure above

What is the obesity threshold weight for a young adult American male?

Answers

Answer:

If your BMI is 18.5 to 24.9, it falls within the normal or Healthy Weight range. If your BMI is 25.0 to 29.9, it falls within the overweight range. If your BMI is 30.0 or higher, it falls within the obese range.

Step-by-ste

Answer:

218.7 lbs is your answer

for the equation y= x + 5, find the value of y when
(a)x= -2,
(b)x=0,
(c)x=2,
(d)x=4.

Answers

Answer:

a) 3 b) 5 c) 7 d) 9

Step-by-step explanation:

For this, you want to replace x in the equation y=x+5 with each of the values listed.

For the first one, -2, the equation becomes y=-2+5, which is solved to y=3.

For the second one, 0, the equation becomes y=0+5, which is solved to y=5.

For the third one, 2, the equation becomes y=2+5, which is solved to y=7.

For the last one, 4, the equation becomes y=4+5, which is solved to y=9.

**This content involves solving algebraic equations with a known variable, which you may wish to revise. I'm always happy to help!

x- (-3) is the same as x + (-3).
O True
O False

Answers

Answer:

false

Step-by-step explanation:

because x - (-3)

= x+3

and x + - 3

= x - 3

so they are not the same

hope this helps

Answer:

False

Step-by-step explanation:

If u minus you go the opposite direction

And you have negative 3

So you do the opposite direction of -3 which is +3

So x+3

Kelly is going two work two part-time jobs during the school year. When she works for her dad, she will make $8.00 per hour. When she works at a day care center, she will make $14.00 per hour. To pay her car payment, Kelly needs to make at least $84.00 a week and can work no more than 10 hours total per week. Write an inequality to represent the difference combinations of hours working for her dad,X, and hours working for the daycare center,Y, Kelly can work if she wants to earn at least $84 per week

Answers

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of hours Kelly works for her dad per week and y represent the number of hours Kelly works in the daycare center per week.

Since she wants to make $84 per week, hence:

8x + 14y ≥ 84     (1)

Also, she can work a maximum of 10 hours per week, hence:

x + y ≤ 10           (2)

Using equation 1 and 2 and plotting the constraints on geogebra online graphing tool, the solution to the problem is at points:

A(0, 6), B(0, 10) and C(9.3, 0.7)

7p+6q-2p+q pls tell me the answer plssssssssssssssssssssssss

Answers

Answer:

if its asking you to simplify then the answer is 5p+7q

Step-by-step explanation:

combine like terms;

7p - 2p =5p

6q+q=7q

Answer:

Step-by-step explanation:

7p + 6q - 2p + q

add and subtract like terms

here 7p and - 2p are like terms as they have same base . similarly 6q and q are also like terms .

7p - 2p + 6q + q

5p + 7q

may anyone help me please and thank you so much !

Answers

Answer:

16 m

Step-by-step explanation:

The situation can be solved by proportion of corresponding sides in 2 right triangles.

let x be the length of shadow cast by oak tree, then

[tex]\frac{9}{12}[/tex] = [tex]\frac{12}{x}[/tex] ( cross- multiply )

9x = 144 ( divide both sides by 9 )

x = 16

Length of shadow is 16 m


Hi! i need help with this math problem! it’s for right triangles please help me

Answers

they gave you a reference angle of 70 and they’re asking for the opposite side. they also have you the adjacent angle to the 70. now opposite/adjacent is the formula for tangent. you’d put in the calculator
tan 70 = x/3
3 tan 70= x
8.2424 = x
rounding to the nearest hundredth, answer is
8.24

Sana Po nakatulong

stay safe po

There is a 30% chance of snow on each of the next three days. What is the probability of getting snow on one of these days?

Answers

Answer:

30%

Step-by-step explanation:

30%, there is a 30 percent chance of snowing on one of these days

which of the following are solutions to the quadratic equation? x^2+3x-10=0

Answers

Answer:

-5 and 2

Step-by-step explanation:

That is where it intersects on the x-axis, so therefore it is the solution.

Answer the questions.

Answers

Answer:

5.

Objective C

[tex]125x + 200 \geqslant 1200 \\ 125x \geqslant 1000 \\ x \geqslant 8[/tex]

7

[tex]x \: \alpha \: y \\ y = kx \\ 2.00 = k \times 8 \\ k = \frac{2.00}{8} \\ k = 0.25[/tex]

can someone assist me with this, has me mad
drop menu 1:
A. y-axis
B. x-axis
C. line y=x
D. line y=-x
drop menu 2:
A. 4 units to the right and 10 units up
B. 8 units to the right and 4 units up
C. 10 units to the right and 2 units up
D. 10 units to the right and 4 units up​

Answers

Answer:

A. y-axis

B. x-axis

C. line y=x

D. line y=-x

drop menu 2:

A. 4 units to the right and 10 units up

B. 8 units to the right and 4 units up

C. 10 units to the right and 2 units up

D. 10 units to the right and 4 units up​

Answer:

C, and D

Step-by-step explanation:

First you reflect over the line y=x (line goes diagonal from quadrant I to quadrant III)

The rule of reflecting over the y=x line is that point (x,y) becomes point (y,x)

For example, point C ( -4, 2), becomes C' ( 2, -4)

Second is a translation 10 units to the right and 4 units up from C'(2,-4) to C''(0, 12)

Select the correct answer.

If function f has zeros at -3 and 4, which graph could represent function f?

A.
the graph of a quadratic function y = (1/4)(x+3)(x-4)
B.
the graph of a quadratic function y = -(1/4)(x-3)(x+4)
C.
the graph of a quadratic function y = -(x+3)(x+4)
D.
the graph of a quadratic function y = (x-3)(x-4)

Answers

A is valid
It is the only option where y(-3) and y(4) are both zero

What is the measure of <JHM

25
45
50
90​

Answers

45 of course because it measured higher then others and it’s the systems of odd numbers

can someone pls help for brainlest

Answers

Answer:

The answer to the question is B,2:55

Answer:

2:55 B

Step-by-step explanation:

Each number 1 2 3 etc are counting by 5's. 11, five times is 55. It cannot be D because the shorter needle determines the hour and the longer one is on 11. It can't be A because counting by 5 starts with 1 not 12 it rotates clockwise not anti-clockwise. It can't be C because for it to be 50, it would need to be on the 10 not on 11.


HELP QUICK PLEASEEEEEE

Answers

Answer:

It woule be c and d, so a)

Step-by-step explanation:

Only a and b are functions.

A box of cereal has the following measurements: length = 16.5 cm; width = 4 cm; height = 30.25 cm. What is the volume of the cereal box?
Pls help me I’m failing math with a 55

Answers

Answer:

[tex]1996.5[/tex]

Step-by-step explanation:

[tex]16.5 X 4 X 30.25[/tex]

Hope this helped, please give brainliest

Thank you!

Answer:

To calculate the volume of a object, all you need to do is multiply the length, width and height.  In this equation, that would be 1996.5cm or 786.02362204 inches

Step-by-step explanation:

Hope this helped, please give brainlist

Thank you

simplify [{(2+13)÷5}+13]÷6_1​

Answers

Answer:

5/3

Step-by-step explanation:

[{(2+13)÷5}+13]÷6_1​

[{(15)÷5}+13]÷6_1​

[3+13]÷6_1​

[16]÷6_1

(8/3)-1

5/3

how many different passwords are possible

Answers

Answer:

I think 2600 passwords are possible

Ifx = 2 and y=6, evaluate the following expression:
3(3y - 4x)

Answers

Your answer would be 30

74/360 in simplest form​

Answers

Answer:

37/180

Step-by-step explanation:

Reduce this fraction by dividing both sides by 2.  We get 37/180, which cannot be reduced further; 37 and 180 have no common factor.

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