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stira [4]
3 years ago
6

Is 5 m, 20 m, 25 m a right triangle

Mathematics
2 answers:
vlabodo [156]3 years ago
6 0

Answer:

No

Step-by-step explanation:

We can check this using the Pythagorean Theorem, a^{2} + b^{2}  = c^{2}.

First, we can plug our two smaller sides in for a and b, and the largest side in for c.,

5^{2} + 20^{2} = 25^{2}

Next, we can check the left side of the equation, which we find to be:

5^{2} = 25\\20^{2} = 400\\

Then, we can add these products and achieve the result of 425

Finally, we can solve the right side of the equation, which equals 625

As 425 ≠ 625, this equation fails the Pythagorean Theorem, and is therefor false.

Yuliya22 [10]3 years ago
3 0

Answer:

NO

Step-by-step explanation:

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What is the value represented by "y" in the equivalent ratio: 10:45 = 2:y? *
Andrei [34K]

Answer:

9

Step-by-step explanation:

2 x 5 = 10

9 x 5 = 45

10:45 = 2:9

7 0
3 years ago
Which of the following equations describes the line shown below? Check all
Setler79 [48]

Answer:

y = -1/2 x + 2

Step-by-step explanation:

Which of the following equations describes the line shown below? Check all

that apply.

(-4, 4)

(2, 1)

The standard equation of a line is y = mx,+b

m is the slope

b is he y-inttercept

Get the slope

Slope m = y2-y1/x2-x1

Substitute the coordinate

M = 1-4/2-(-4)

M = -3/6

M = -1/2

Substitute m= -1/2 and (2,1) into y = mx+b

1 = -1/2(2)+b

1 = -1+b

b = 1+1

b=2

Get the equation

Recall y =mx+b

y = -1/2 x + 2

3 0
3 years ago
What is the solution to ln (x2 - 16) = 0?
bogdanovich [222]
ANSWER

x = \pm \sqrt{17}
EXPLANATION

The given equation is

ln( {x}^{2} - 16) = 0

Take antilogarithm of both sides to base e.

{e}^{ ln( {x}^{2} - 16) } = {e}^{0}

This will simplify to

{x}^{2} - 16 = 1

Group like terms to obtain,

{x}^{2} = 1 + 16

{x}^{2} = 17

Take square root of both sides to get,

x = \pm \sqrt{17}
6 0
3 years ago
Read 2 more answers
the pizza pantry has a 25% off grand opening special. you have a coupon for a restaurant. you save $3 on a meal. how much was th
luda_lava [24]
3.00 times 25% = $3.25 original meal
4 0
3 years ago
How many L of A 90% saline solution must be mixed with 4 L of a 50% saline solution to make a 74% solution ?
insens350 [35]

Answer:

6 L

Step-by-step explanation:

Given two solutions:

1st solution is 90% saline solution. Let the volume of this solution be x litres.

2nd solution is 50% saline solution. Volume of this solution = 4 L

Resultant solution is 74% saline.

To find:

The volume of 1st solution = ?

Solution:

Total volume of the 74% saline mixture = (4+x) Litres

We can write equation here, as per the percentage of saline in the mixtures.

90% of x L + 50% of 4 L = 74% of (x+4)

\Rightarrow \dfrac{90x}{100} + \dfrac{50}{100}\times 4 = \dfrac{74}{100}\times (x+4)\\\Rightarrow 90x + 200 = 74x+296\\\Rightarrow 90x-74x = 296-200\\\Rightarrow 16x = 96\\\Rightarrow x = \bold{6\ L}

Therefore, the volume must be <em>6 L</em>.

8 0
3 years ago
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