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3 years ago

The lengths of two sides of a triangle are 3 inches in 8 inches find the range of possible links for the third side S

Mathematics

1 answer:

damaskus [11]3 years ago

5 0

If a, b and c are the lengths of the sides of a triangle then

if a ≤ b ≤ c, then a + b > c.

1. a ≤ 3 ≤ 8 then a + 3 > 8 → a > 8 - 3 → a > 5 FALSE, because a ≤ 3.

2. 3 ≤ a ≤ 8 then 3 + a > 8 → a > 5 therefore 5 < a ≤ 8

3. 3 ≤ 8 ≤ a then 3 + 8 > a → 11 > a → a < 11 therefore 8 ≤ a < 11.

<h3>Answer: 5 < a < 11 → S = (5, 11)</h3>

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A spinner is divided into 12 equal-sized sections. Each section is labeled with a number.

vfiekz [6]

Answer:

It is a one and twelve chance for each section

Step-by-step explanation:

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3 years ago

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There were 60 ducks living in a pond. If the number living at the pond increased by 30%, how many ducks now live at the pond?

timama [110]

Answer:

Step-by-step explanation:

You take the original total: 60, and multiply it by 30 to get 1,800. You then divide 1,800 by 100 to get 18. 18 is your 30%. Now, you add the 30% to 60 getting your total number of ducks: 78.

The equation version:

$\frac{a}{60} = \frac{30}{100}$

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2 years ago

For f(x) = 3x+1 and g(x) = x^2-6, find (g/f)(x)

nexus9112 [7]

G/f(x) = x^2 - 6 / 3x + 1
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3 years ago

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Amelia and Jayden work at a furniture store. Amelia is paid $185 per week plus 9.5% of her total sales in dollars, xx, which can

almond37 [142]

Answer:

The weekly sales must be $12,600

Step-by-step explanation:

if their pay is the same, the equations have to be equal

amelia = jayden

185 +.095x = 311 +.085x

subtract .085x from each side

185 +.095x-.085x = 311 +.085x-.085x

185+.01x = 311

subtract 185 from each side

185-185+.01x = 311-185

.01x = 126

divide by .01

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3 years ago

Suppose that we don't have a formula for g(x) but we know that g(3) = −1 and g'(x) = x2 + 7 for all x.

Sliva [168]

Answer:

g(2.95) ≈ -1.8; g(3.05) ≈ -0.2
A) tangents are increasing in slope, so the tangent is below the curve, and estimates are too small.

Step-by-step explanation:

(a) The linear approximation of g(x) at x=b will be ...

g(x) ≈ g'(b)(x -b) +g(b)

Using the given relations, this is ...

g'(3) = 3² +7 = 16

g(x) ≈ 16(x -3) -1

Then the points of interest are ...

g(2.95) ≈ 16(2.95 -3) -1 = -1.8

g(3.05) ≈ 16(3.05 -3) -1 = -0.2

(b) At x=3, the slope of the curve is increasing, so the tangent lies below the curve. The estimates are too small. (Matches description A.)

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3 years ago