A triangle has angle measures 23degrees and 35 degrees. what is the measure of the third triangle

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Answer 1

Answer: The answer is 122 for the final angle

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Find the ratio in simplest form. 30 minutes to 2 hours
Write 3.274 x 10^3 as an ordinary number
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The ratio of squirrels to chipmunks in the yard was 2:7. How many squirrels were in the yard if there were 49 chipmunks?Explain please.

Divide the following polynomial.

(x^2 - 4) (x - 1)

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(x2 + x + 2) • (x - 2)

—————————

x - 1

x-1 is the answer!!!!! :)

BRAINLIEST AND FIVE STARS TO CORRECT ANSWER

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Note that the first function is f(x) = 4 for x less than 2 and for the second function f(x) = -1 for x greater than or equal to 2

So the limit as x approaches two from the left is 4 and the limit as x approaches 2 from the right is -1.

so looks like you would need the third choice: 4; -1

All eight companies in the aerospace industry were surveyed as to their return on investment last year. The results are in percent) 10.6, 12.6, 14.8, 18.2, 12.0, 14.8, 12.2, and 15.6. a. Calculate the range. (Round your answer to 1 decimal place.) Range %
b. Calculate the arithmetic mean. (Round your answer decimal places.)
c. Calculate the variance. (Round your answer to 2 decimal places.)

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Answer:

a.) range- 6.2

b.) arithmetic mean- 13.85

c.) varience- 0.69

Evaluate ∫C ysin(z)ds, where C is the circular helix given by the equations x = cos(t), y = sin(t), z = t, 0 ≤ t ≤ 2π. SOLUTION The formula for a line integral in space gives the following. ∫y sin(z)ds = sin2(t) dt = (sin(t))2√ (cos(t))2 + (sin(t))2 + 1dt = 1 2 (1 - cos(2t))dt = √2 2 =

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The line integral is

$\displaystyle\int_Cy\sin z\,\mathrm ds=\int_0^(2\pi)y(t)\sin z(t)\,\sqrt{\left((\mathrm dx)/(\mathrm dt)\right)^2+\left((\mathrm dy)/(\mathrm dt)\right)^2+\left((\mathrm dz)/(\mathrm dt)\right)^2}\,\mathrm dt$

We have

$x=\cos t\implies(\mathrm dx)/(\mathrm dt)=-\sin t$

$y=\sin t\implies(\mathrm dy)/(\mathrm dt)=\cos t$

$z=t\implies(\mathrm dz)/(\mathrm dt)=1$

so the integral reduces to

$\displaystyle\int_0^(2\pi)\sin^2t√((-\sin t)^2+\cos^2t+1^2)\,\mathrm dt=\frac{\sqrt2}2\int_0^(2\pi)(1-\cos2t)\,\mathrm dt=\boxed{\frac\pi{\sqrt2}}$

The line integral ∫C ysin(z) ds over the circular helix C, parametrized by x = cos(t), y = sin(t), z = t for 0 ≤ t ≤ 2π, evaluates to π√2.

To evaluate the line integral ∫C ysin(z) ds over the circular helix C given by x = cos(t), y = sin(t), z = t for 0 ≤ t ≤ 2π, we follow these steps:

1. Parameterize the curve: C is already parameterized as x = cos(t), y = sin(t), z = t.

2. Find the differential ds: ds = √(dx² + dy² + dz²) = √(sin²(t) + cos²(t) + 1)dt = √(1 + 1)dt = √2 dt.

3. Evaluate the integral: ∫C ysin(z) ds = ∫[0, 2π] sin(t) * sin(t) * √2 dt = ∫[0, 2π] sin²(t) * √2 dt.

Now, we'll integrate sin²(t) * √2 with respect to t:

∫ sin²(t) * √2 dt = (1/2) * ∫ (1 - cos(2t)) * √2 dt.

Using the power rule for integration, we get:

(1/2) * [(t - (1/2) * sin(2t)) * √2] | [0, 2π].

Plugging in the limits:

(1/2) * [(2π - (1/2) * sin(4π) - (0 - (1/2) * sin(0))) * √2].

Since sin(4π) = sin(0) = 0:

(1/2) * [(2π - 0 - 0) * √2] = π√2.

So, ∫C ysin(z) ds = π√2.

For more such questions on Line Integral :

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HELPPPPPPPPPPPPPPPPPPPPPPPP

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Answer:

left bottem

Step-by-step explanation:

Answer:

The 2nd one is correct

Step-by-step explanation:

Plz help asap In 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be. Find their ages now.

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Answer:

Harry is 2, Jim is 6

Step-by-step explanation:

The first statement tells us they are 4 years part. Then you need to find two numbers that are 4 apart and that has one that is half the other, like 4 and 8. Finally, subtract two because this will happen in two years and you need their ages now.

Sorry if this was confusing.

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7+16y=;1/4 solution or no solution?

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