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4 years ago

The weight of a pig is 98 pounds to the nearest half of a pound. What is the maximum error of this measurement?

Mathematics

1 answer:

Orlov [11]4 years ago

4 0

Answer:

1/4 pound

Step-by-step explanation:

The maximum error is half the "rounded to" value. Here, rounding is to 1/2 pound, so the maximum error is 1/4 pound.

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KonstantinChe [14]

Equation for Line
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3 years ago

Given that cos θ = –12∕13 and θ is in quadrant III, find csc θ.

Trava [24]

Answer:

Step-by-step explanation:

We are given:

$\displaystyle \cos(\theta)=-\frac{12}{13},\,\theta\in\text{QIII}$

Since cosine is the ratio of the adjacent side over the hypotenuse, this means that the opposite side is (we can ignore negatives for now):

$o=\sqrt{13^2-12^2}=\sqrt{25}=5$

So, the opposite side is 5, the adjacent side is 12, and the hypotenuse is 13.

And since θ is in QIII, sine/cosecant is negative, cosine/secant is negative, and tangent/cotangent is positive.

Cosecant is given by the hypotenuse over the opposite side. Thus:

$\displaystyle \csc(\theta)=\frac{13}{5}$

Since θ is in QIII, cosecant must be negative:

$\displaystyle \csc(\theta)=-\frac{13}{5}$

Our answer is A.

7 0

3 years ago

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Which criterion can be used to prove ABC and ADC are congruent?

olya-2409 [2.1K]

Triangles have common side AC, and 2 adjacent to this side corresponding angles.
∠BAC=∠DCA, and
∠ACB=∠SAD.
So, triangles <span>ABC and ADC are congruent by ASA.</span>

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3 years ago

Solve the inequality:<br><br> 3/10 is greater than or equal to k - 3/5

Ostrovityanka [42]

To solve the inequality 3/10 is greater than or equal to k - 3/5, we must first set it up. Since 3/10 is greater than or equal to something, we will have a greater than or equal to symbol, with the 'mouth' pointing towards 3/10. Setting this up we get:

3/10 ≥ k - 3/5

Now we want to get k by itself on one side. We can do this by adding 3/5 to each side.

3/10 + 3/5 ≥ k

Simplify

9/10 ≥ k

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3 years ago

Which of the following statements is true for the quadratic equation x2 – 16x + 64 = 0?

irinina [24]

Answer:

Please provide the statements.

Step-by-step explanation:

6 0

3 years ago

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