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2 years ago

A triangle has side lengths that are 8 cm, 15 cm, 17 cm. Is this a right triangle?

1 answer:

5 0

Answer: A triangle has side lengths of 8 cm, 15 cm, and 17 cm. classify it as acute, obtuse, or right. Well, since 8^2 + 15^2 = 17^2, the sides fit the Pythagorean Theorem and thus it must be a right triangle.

Step-by-step explanation:

A triangle has side lengths that are 8 cm, 15 cm, 17 cm. Is this a right triangle? A triangle has side lengths of 8 cm, 15 cm, and 17 cm. classify it as acute, obtuse, or right. Well, since 8^2 + 15^2 = 17^2, the sides fit the Pythagorean Theorem and thus it must be a right triangle.

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The number of salmon swimming upstream to spawn is approximated by the following function:

umka2103 [35]

Answer:

The water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.

Step-by-step explanation:

Let $S(x) = -x^{3}+2\cdot x^{2}+405\cdot x +4965$ , for $6 \leq x \leq 20$ . $x$ represents the temperature of the water, measured in degrees Celsius, and $S$ is the number of salmon swimming upstream to spawn, dimensionless.

We compute the first and second derivatives of the function:

$S'(x) = -3\cdot x^{2}+4\cdot x +405$ (Eq. 1)

$S''(x) = -6\cdot x +4$ (Eq. 2)

Then we equalize (Eq. 1) to zero and solve for $x$ :

$-3\cdot x^{2}+4\cdot x +405 = 0$

And all roots are found by Quadratic Formula:

$x_{1} \approx 12.305\,^{\circ}C$ , $x_{2}\approx -10.971\,^{\circ}C$

Only the first root is inside the given interval of the function. Hence, the correct answer is:

$x \approx 12.305\,^{\circ}C$

Now we evaluate the second derivative at given result. That is:

$S''(12.305) = -6\cdot (12.305)+4$

$S''(12.305) = -69.83$

According to the Second Derivative Test, a negative value means that critical value leads to a maximum. In consequence, the water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.

5 0

2 years ago

Help me pls with this question thank uuu

madam [21]

Let p be 2p and q be 3q. The ratio formed by this will be

$\sf \: p = 2 \\ \sf \: q = 3 \\ \sf \: p : q = 2 : 3$

Thus, Option A is the correct choice!!~

3 0

2 years ago

PLS HELP ITS MATH AND I DONT UNDERSTAND No links pls and ty <3

tankabanditka [31]

<h3>Answer:</h3>

C=52.08π

<h3>Solution:</h3>

Circumference of a circle:
C=2πr
where
π=3.14...
r= radius
In this case, r is equivalent to 26.04 ft.
C=2π×26.04
Multiply:
C=52.08π (in terms of pi)

Hope it helps.

Do comment if you have any query.

8 0

2 years ago

Read 2 more answers

Find the line through

Kaylis [27]

Answer:

$(\frac{1}{2},\frac{-1}{2},\frac{1}{2})$

Step-by-step explanation:

We have been given the intersection coordinates:

(7,1,-6) and perpendicular to the line x=-1+t ,y=-2+t and z=-1+t

From the condition of perpendicularity we know:

$(7,1,-6)(x,y,z)$

$\Rightarrow 7x+y-6z=0$

Now, we have given x=-1+t , y=-2+t and z= -1+t

$7(-1+t)+(-2+t)-6(-1+t)=0$

$-7+7t-2+t+6-6t=0$

$\Rightarrow -3+2t=0$

$2t=3$

$t=\frac{3}{2}$

Now, substituting t in the given coordinates x,y and z we get:

$x=-1+\frac{3}{2}=\frac{1}{2}$

$y=-2+\frac{3}{2}=\frac{-1}{2}$

And $z=-1+\frac{3}{2}=\frac{1}{2}$

3 0

2 years ago

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0.01 meter or 1/100 meter equals one:

Stels [109]

H̲̅ᴇ̲̅ʏ̲̅!̲̅ Hope that I can help!
There are 100 centimeters in a meter, so if you would divide a meter by 100, you'd get 1 centimeter.

Answer: B.) Centimeter.
If you were helped by my answer, remember that I worked really hard on it. Please click the [ ♥ ᴛʜᴀɴᴋs ] button below and give me a rating of ★★★★★ to show your appreciation.

5 0

2 years ago

Read 2 more answers