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3 years ago

Is it a triangle?

Mathematics

2 answers:

xeze [42]3 years ago

8 0

Answer:

$\boxed {\tt Yes}$

$\boxed {\tt The \ 3 \ angles \ add \ to \ 180 \ degrees}$

Step-by-step explanation:

The interior angles of a triangle must add to 180 degrees.

Let's add the three angles we are given and see what the sum is.

The three angles are 127, 38, and 15

Add them together.

127+38+15=180
3 angles = 180 degrees

The three angles equal 180 degrees, therefore they can create a triangle.

ipn [44]3 years ago

7 0

Yes, 3 triangles have 180 degrees because the interior angles of a triangle must add to 180 degrees.

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Find the center of a circle with the equation: x2 y2−32x−60y 1122=0 x 2 y 2 − 32 x − 60 y 1122 = 0

mixas84 [53]

The equation of a circle exists:

$$(x-h)^2 + (y-k)^2 = r^2$ , where (h, k) be the center.

The center of the circle exists at (16, 30).

<h3>What is the equation of a circle?</h3>

Let, the equation of a circle exists:

$$(x-h)^2 + (y-k)^2 = r^2$ , where (h, k) be the center.

We rewrite the equation and set them equal :

$$(x-h)^2 + (y-k)^2 - r^2 = x^2+y^2- 32x - 60y +1122=0$

$$x^2 - 2hx + h^2 + y^2 - 2ky + k^2 - r^2 = x^2 + y^2 - 32x - 60y +1122 = 0$

We solve for each coefficient meaning if the term on the LHS contains an x then its coefficient exists exactly as the one on the RHS containing the x or y.

-2hx = -32x

h = -32/-2

⇒ h = 16.

-2ky = -60y

k = -60/-2

⇒ k = 30.

The center of the circle exists at (16, 30).

To learn more about center of the circle refer to:

brainly.com/question/10633821

#SPJ4

7 0

1 year ago

According to the American Lung Association, 7% of the population has lung disease. Of those having lung disease, 90% are smokers

postnew [5]

Answer:

Probability that a smoker has lung disease = 0.2132

Step-by-step explanation:

Let L = event that % of population having lung disease, P(L) = 0.07

So,% of population not having lung disease, P(L') = 1 - P(L) = 1 - 0.07 = 0.93

S = event that person is smoker

% of population that are smokers given they are having lung disease, P(S/L) = 0.90

% of population that are smokers given they are not having lung disease, P(S/L') = 0.25

We know that, conditional probability formula is given by;

P(S/L) = $\frac{P(S\bigcap L)}{P(L)}$

$P(S\bigcap L)$ = P(S/L) * P(L)

= 0.90 * 0.07 = 0.063

So, $P(S\bigcap L)$ = 0.063 .

Now, probability that a smoker has lung disease is given by = P(L/S)

P(L/S) = $\frac{P(S\bigcap L)}{P(S)}$

P(S) = P(S/L) * P(L) + P(S/L') * P(L')

= 0.90 * 0.07 + 0.25 * 0.93 = 0.2955

Therefore, P(L/S) = $\frac{0.063}{0.2955}$ = 0.2132

Hence, probability that a smoker has lung disease is 0.2132 .

7 0

3 years ago

In ΔJKL, the measure of ∠L=90°, JL = 24, LK = 7, and KJ = 25. What is the value of the sine of ∠K to the nearest hundredth?

Shalnov [3]

Hi the picture has the answer and work, if you have any questions feel free to ask!!

7 0

3 years ago

Write a formula for quadratic function if its graph has the vertex at point (0,6) and passes through the point (−1,−2).

d1i1m1o1n [39]

Answer:

y = - 8x² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (0, 6), thus

y = a(x - 0)² + 6, that is

y = ax² + 6

To find a substitute (- 1, - 2) into the equation

- 2 = a(- 1)² + 6, that is

- 2 = a + 6 ( subtract 6 from both sides )

- 8 = a

y = - 8x² + 6

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2 years ago

A video rental charges a $20 membership fee and $2.50 for each video rented. write and graph a linear equation (y=mx+b)

kipiarov [429]

Y=2.50x+20. Plug in values for x starting at 0 and you will get values for y and then graph.

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3 years ago

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