The sum of the lengths of any two sides is greater than the third side, then the given sides will form a triangle.
Apply the theorem statement for the given numbers 10, 7 and 13. Do these numbers form a triangle? Explain

Answers

Answer 1

Answer:

Yes, These numbers 10, 7, and 13 can form a triangle

Step-by-step explanation:

The sum of any two sides of a triangle is greater than the third side

Let us use this theorem to solve the question

∵ The numbers are 10, 7, 13

∵ 10 + 7 = 17

∵ 17 > 13

The sum of 10 and 7 is greater than the 3rd number 13

∵ 10 + 13 = 23

∵ 23 > 7

The sum of 10 and 13 is greater than the 3rd number 7

∵ 7 + 13 = 20

∵ 20 > 10

The sum of 7 and 13 is greater than the 3rd number 10

∵ The sum of every two numbers is greater than the 3rd number

→ By using the theorem above

The numbers 10, 7, and 13 can form a triangle


Related Questions

Type the correct answer in each box. If necessary, use / for the fraction bar(s).

In this triangle, the product of sin B and tan C is
, and the product of sin C and tan B is
.

Answers

The product of sin B and tan C is c/a

The product of sin C and tan B is b/a

Further explanation

We can use

SOH stands for Sine = Opposite ÷ Hypotenuse.

CAH stands for Cosine = Adjacent ÷ Hypotenuse.

TOA stands for Tangent = Opposite ÷ Adjacent.

There is a picture attached

[tex]\tt sin~B=\dfrac{b}{a}\\\\Tan~C=\dfrac{c}{b}\\\\sin~B\times Tan~C=\dfrac{b}{a}\times \dfrac{c}{b}=\dfrac{c}{a}[/tex]

[tex]\tt sin~C=\dfrac{c}{a}\\\\Tan~B=\dfrac{b}{c}\\\\sin~C\times tan~B=\dfrac{c}{a}\times \dfrac{b}{c}=\dfrac{b}{a}[/tex]

Answer:

The product of sin B and tan C is (c/a)

The product of sin C and tan B is (b/a)

PLATO

Mariah is making goody bags for a party. She has 24 bottles of nail polish and 48 tatoos. What is the greatest number of goody bags she can make so that each bag has an equal amount of each item with nothing left over?

Answers

Answer:

36

Step-by-step explanation:

24 div 2, 12.

48 div 2, 24.

24+12,36

The product of two consecutive integers is 420. Which quadratic equation can be used to find x, the lesser number? x2 + 1 = 420 x2 + 2 = 420 x2 + x = 420 x2 + 2x = 420

Answers

Answer:Answer:

The answer is x^2 + x =420

Step-by-step explanation:

It is given that

The product of two consecutive integers is 420

Le x be the first number, then

second number is the next consecutive number of x which is (x +1)

The product of these numbers can be written as

x (x + 1) which is equal to 420

x (x + 1)  = 420

x^2 + x = 420

So the quadratic equation is

x^2 + x = 420

Step-by-step explanation:

Answer:

Step-by-step explanation:

Its CCCCCCCCCCCCCCC

how come nothing feels real anymore? i've searched and i can't find why. all of my feelings and surroundings seem fake. i've felt like this for over a week straight so far, and this feeling has happened before but it's only lasted like a day or less. i can't get rid of the feeling, and i just wanna escape it. i feel like i'm not in "my" body. like my hands aren't my own, and i dont have complete control over them. when i look in the mirror, it's like it's not actually me looking back. no matter how many people are around me, it feels like they're all fake and aren't actually there. like this isn't the world i'm actually in. it's driving me insane and i just have the constant feeling that i want to cry and escape this. i can't tell my parents this, because they'll just say i'm being dramatic or just don't want to do my work or something like that. just please help me understand what's going on, or if there's anything i need to do. please. (i put this up for 50 points)

Answers

Answer:

I also have felt like this recently. Try talking to someone about it. :)

Figure 1
Figure 2
Figure 3
Your answer

Answers

Answer:

I believe you forgot a picture.

Which measure is cloest to the length of a side of a square that has an area of 221 square feet? 11.0 ft 14.69 ft 16.4 ft 55.2 ft

Answers

Answer:

14.69 ft.

Step-by-step explanation:

Area of a square:

A= [tex]a^2[/tex]

Given:

A=221 [tex]ft^{2}[/tex]

Solve:

221= [tex]a^2[/tex]

[tex]\sqrt{221}[/tex]=[tex]\sqrt{a}^2[/tex]

a is approx. equal to 14.87 ft.

which is 14.69 ft.

If you get 2 imaginary answers when using the quadratic formula, how does this relate to how many times (0, 1 or 2) a quadratic graph touches/crosses the x-axis?

Answers

Answer:Roots of a number indicates value where function will be zero. If an equation let's say

y = f(x) = x^2 -3x + 2 has two roots x = 1 and x =2 . Now if you will draw the graph, line will cross x-axis at 1 and 2 indicating y will become zero at 1 and 2. But if any equation has imaginary roots implies y will be never be zero for any real value of x and as we do not show imaginary number on a Cartesian plane we cannot make y =0 hence graph will never touch x-axis.

Step-by-step explanation:

A helicopter is hovering 100 meters above the ocean. Directly below it, a submarine is at a depth of 200 meters.
The altimeter on the helicopter reads
meters, which means it is 100 meters
sea level. The altimeter on the submarine reads
meters, which means it is 200 meters
sea level.

Answers

Answer:

100

2. Above,

3. -200−200 ,

4. Below

Find x. My teacher gave me what x equals but I don’t know the step-by-step explanations. x=6

Answers

Step-by-step explanation:

The triangle is isosceles, so the base angles are the same.

All three angles add up to 180°.

(6x + 4) + (6x + 4) + (18x − 8) = 180

30x = 180

x = 6

Answer:x=6

Step-by-step explanation:since those two sides shown are the same length, the missing angle is also 6x+4. the angles on a triangle always will equal 180. so you set the problem up as 6x+4+6x+4+18x-8=180. when you combine like terms it is then 30x=180. x=6

Help plss ASAP plsss

Answers

Answer:

15/16

Step-by-step explanation:

got it right

What is the 9th term in the geometric sequence described by this explicit
formula?
an=-6.(2)(n-1)
O A. -3072
B. 3072
C. -1536
D. 1536

Answers

Answer:

C

Step-by-step explanation:

The explicit formula is aₙ = -6 · 2⁽ⁿ⁻¹⁾, and we want to find the 9th term in the sequence. To find it, we can simply substitute n = 9 into the explicit formula, which gives us:

a₉ = -6 · 2⁽⁹⁻¹⁾

= -6 · 2⁸

= -6 · 256

= -1536

Hope this helps!

There are 600 performers in a dance recital. The ratio of men to women is 4:6. How many men performers were in the dance recital

Answers

Answer: 240 men

Step-by-step explanation:

From the question, we are informed that there were 600 performers in a dance recital and that the ratio of men to women is 4:6.

Fraction of men at the recital = 4/10

Fraction of women at the recital = 6/10

The number of men performers that were in the dance recital will be:

= 4/10 × 600

= 240 men

There were 240 men at the recital.

find the value of 8^1/3

Answers

Answer:

[tex]2\frac{2}{3}[/tex]

Step-by-step explanation:

Find 1/3 of 8: [tex]\frac{1}{3}[/tex] × [tex]\frac{8}{1} = 2\frac{2}{3}[/tex]  

I hope this helps!

The answer is [tex]\frac{8}{3}[/tex] or [tex]2\frac{2}{3}[/tex]

complete these. Show your thinki
b.
3.25 ft =
in
HELPPPP

Answers

Answer:

35 inches

Step-by-step explanation:

multiply length value by 12

How do I graph f(x) = -x^2 +2x -4

Answers

This is how you would graph it :
This is the correct graph.
The graph of the function is the set of all points (x,y) in the plane that satisfies the equation y=f(x) y = f ( x ) . ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output.

Solve the equation.
3+ 4.5(2d – 3) = 7.5

Answers

Answer:

d=2

Step-by-step explanation:

Imani spent $19 on a magazine and five
candy bars. If the magazine cost $4, then
how much was each candy bar?

Help please

Answers

Each candy bar was 3$.
19 - 4 (the price of the magazine) = 15$
15 / 5 (the amount of candy bars) = 3$

3) Solve the equation. Show steps. -406 = c + 430​

Answers

Answer:

- 836

Step-by-step explanation:

Check out the attachment below:

You bought a magazine for $3and some candy bars for $2 each. You spent a total of $19.How many candy bars did you buy?

Answers

Answer:

8

Step-by-step explanation:

19 - 3 = 16

16÷2 = 8

You bought 8 candy bars

Answer:

8

Step-by-step explanation:

You First have spent 3$ on a magazine then $2 for each candy bar in total u had 19$ spent so first u mulitply 8x2 which 16 now 16 + 3=19

A real estate agent received 5.7% commission for a house that sold for $250,000. How much was the agent's commission?

Answers

Answer:

$14,250

Step-by-step explanation:

250,000 * .057 = 14,250

$14,250 USD Siri helped me :)

Parallel lines have so much in common, It’s a shame they’ll never meet.

Answers

ya so heartwarming. give brainliest pls bae

Answer:

This is actually very true

Step-by-step explanation:

lol

17. The current low temperature in uxbridge is 18 degrees Fahrenheit. Over the next two days the low temperature will decrease 12 degrees and increase 7 degrees. Express the temperature changes in a numerical expression and say what the temperature will be after three days.

Numerical expression:
Answer:

Answers

Answer:

Expression: 18 - 12 + 7. In 3 days, the temperature will be 13 degrees.

Step-by-step explanation:

The temperature is 18 degrees.

It will decrease 12 degrees after one day. So, it is 18 - 12.

Then it will increase by 7 degrees after another day. So, it is 18 - 12 + 7.

18 - 12 = 6. 6 + 7 = 13.

So, the expression is 18 - 12 + 7 and the answer is 13 degrees (i think)

12) If tan A=5/12 . find the value of (sin A + COS A) sec A.​

Answers

Answer:

(sin(A) + cos(A)).sec(A) = 17/12

Step-by-step explanation:

tan(A) = 5/12

sin(A) = 5/13

cos(A) = 12/13

sec(A) = 1/(cos(A)) = 13/12

(sin(A) + cos(A)).sec(A) = (5/13 + 12/13).13/12

= 17/13.13/12

= 17/12

Please help!!!!! ASAP!!!! If I get it right I get outta here!!
Just word problems, THANK YOU!!!!!!!!

Answers

Answer:

First one is 120 leaves  The Second one is $3.5   Last one is $136

I don't know the 3rd one

Step-by-step explanation:

PLEASE HELP- GRAPH THE INVERSE OF THE FUNCTION SHOWN BELOW.​

Answers

Answer:

-1.0

Step-by-step explanation:

dont no the explanation

Four less than 5 times a number is the same as 26 more than twice the number .

Answers

Correct Question:-

Four less than 5 times a number is the same as 26 more than twice the number.Find the number?

Answer:-

Let the number =x

Four less than 5 times of the number means the polynomial is (5x-4)26 more than twice the number means the polynomial is (2x+26)Now according to question Both are equal

ATQ,

[tex]\sf (5x-4)=(2x+26)[/tex]

Open the brackets

[tex]{:}\longrightarrow[/tex][tex]\sf 5x-4=2x+26 [/tex]

Now take unknown polynomials to one side and numbers to other side

[tex]{:}\longrightarrow[/tex][tex]\sf 5x-2x=26+4 [/tex]

Now simplify

[tex]{:}\longrightarrow[/tex][tex]\sf 3x=30 [/tex]

Now interchange sides and get x

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {30}{3}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]{\underline{\boxed{\bf{x=10}}}}[/tex]

[tex]\therefore[/tex][tex]\sf The\:number\:is\: 10.[/tex]

Solve 6x+3y=−1 for y

Answers

3y=-6x-1
y=-2x-1/3 is the answer

The sets X and Y exists collectively referred to as the function's domain and codomain, respectively.

If the function be 6x + 3y = −1 then the value of y = (−1 - 6x) / 3.

What is meant by function?

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y exists collectively referred to as the function's domain and codomain, respectively.

The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs.

A mathematical phrase, rule, or law establishes the link between an independent variable and a dependent variable (the dependent variable).

Let the given function be 6x + 3y = −1.

⇒ 3y = −1 - 6x

simplifying the above equation, we get

⇒ y = (−1 - 6x) / 3

Therefore, the value of y = (−1 - 6x) / 3.

To learn more about function refer to:

https://brainly.com/question/11624077

#SPJ2

The distance covered by the fastest high-speed train in Japan traveling at maximum speed is represented on the graph. The fastest high-speed train in the United States traveling at maximum speed covers 600 kilometers in 1/2 hours. Which train has a greater maximum speed? Explain.

Answers

Answer:

it would run up almost 360 kph

Step-by-step explanation:

i look it up

can someone pls help?

Answers

Answer:  x = 4

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

Explanation:

Use the remote interior angle theorem. This says a pair of interior angles always add to the measure of the exterior angle that is not adjacent to any of the interior angles, so basically what your diagram is showing.

(interior angle C) + (interior angle D) = exterior angle

(46) + (-1+8x) = 18x+5

8x+45 = 18x+5

8x-18x = 5-45

-10x = -40

x = -40/(-10)

x = 4

Jolie earned \$205$205dollar sign, 205 for babysitting in one month. She spent ddd dollars going to a water park with some friends. After going to the water park, Jolie had \$160$160dollar sign, 160 remaining. Write an equation to describe this situation. How many dollars did Jolie spend at the water park?

Answers


Answer:
$205-$160= $45
Step-by-step explanation:
this means that she spent $45 dollars at the water park

Answer:

jolie spent 45 buckaroonies on the waterpark.

and the equation is

205 - d = 160

Step-by-step explanation:

i just got it right on kahn academy

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