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Katena32 [7]
3 years ago
7

Please help me out on this one

Mathematics
1 answer:
xenn [34]3 years ago
5 0

9514 1404 393

Answer:

  yes, yes, no; No

Step-by-step explanation:

We have to assume you have no trouble with single-digit addition and comparison of two numbers.

  3+4 > 1   ⇒   7 > 1 . . . . yes

  4+1 > 3   ⇒   5 > 3 . . . . yes

  3+1 > 4   ⇒   4 > 4 . . . . no

These lengths will not make a triangle because the triangle inequality is <em>not satisfied</em>.

_____

<em>Additional comment</em>

You will notice that we found the result of interest when we added the two smallest numbers (1 and 3) and compared the sum to the largest number (4). This is a shortcut you can use for any "will these make a triangle" question. You don't need to bother comparing larger numbers to smaller ones. You already know they are larger.

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In a triangle measure of angle A=50 what statement is true about the measure of angle c
kaheart [24]
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8 0
3 years ago
Find the values of x in [0,360) which satisfy 2cot^2x=-3cscx
IgorLugansk [536]

Answer:

The values of x is -30 degrees and undefined

None of these values fall within the given range

Thus, no value within the given range is the solution to the equation

Step-by-step explanation:

Here, we want to find the value of x that works for the equation in the selected range

2cot^2x = -3csc x

Mathematically, from trigonometry;

cot^2x = csc^2x - 1

Substitute this above

2(csc^2x - 1)= -3csc x

let csc x = b

2(b^2-1) = -3b

2b^2 - 2 + 3b = 0

2b^2 + 3b - 2 = 0

2b^2 + 4b - b - 2 = 0

2b(b+ 2) - 1( b + 2) = 0

(2b-1)(b + 2) = 0

2b = 1

b = -2

b = 1/2 = 0.5

or b = -2

Recall;

csc x = b

x = csc^-1 b

x = csc^-1 0.5

x = undefined

Secondly;

b = -2

x = csc^-1 (-2)

x = -30 degrees

As we can see , between the points

0 ≤ x < 360

None of our answers fall in these range

5 0
3 years ago
The smiths want to replace the stairway that leads from their porch to their sidewalk with a ramp. The porch is 3 feet off the g
Elis [28]
Use the pythagorean therom. 12 squared + 3 squared = x squared 
So the answer is 12.4 feet


7 0
4 years ago
Which number line represents the solution to the inequality 225x + 400 ≥ 2200?
Elis [28]

Answer:

I think it's A

Step-by-step explanation:

225x + 400 ≥ 2200

225x ≥ 1800

x ≥ 8

8 0
3 years ago
Which equation can be simplified to find the inverse of y = 5x2 + 10?
iris [78.8K]

ANSWER

x = 5 {y}^{2}  + 10

EXPLANATION

The given equation is :

y = 5 {x}^{2}  + 10

To find the inverse of this function, we interchange x and y to obtain:

x= 5 {y}^{2}  + 10

We simplify this function to solve for y.

Therefore the equation that needs to be simplified to find the inverse of the given function is

x = 5 {y}^{2}  + 10

The correct choice is is the first option.

8 0
3 years ago
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