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3 years ago

A ladder reaches a window 20 feet above the ground. The foot of the ladder is 4 feet from the wall.

Mathematics

1 answer:

kobusy [5.1K]3 years ago

7 0

Answer:

$\sqrt{416}$ ft

or about 20.396ft when rounded to the third decimal place

Step-by-step explanation:

(assuming the question is to find the ladder's length)

let "l" be the ladder's length

$20^{2} + 4^{2} = l^{2}$

$400 + 16 = l^{2} = 416$

$l = \sqrt{416}$ ft

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Giovanni has been hired by a local clothing accessory store to make decorative belts that have green and blue beads carefully gl

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The system of inequalities that model the number and types green (g)

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70 < g + b < 74

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<h3>How can s system of inequalities be written?</h3>

The waist size for the belt = ±28 inches

The x represent the number of beads on each belt, we have;

Number of beads per belt 70 < x < 74

Minimum ratio of blue to green beads = 1 : 4

Maximum ratio of blue to green beads = 1 : 6

Therefore;

Minimum number of blue beads = $\frac{70}{1 + 6}$ = 10

Maximum number of blue beads = $\frac{74}{1 + 4}$ ≈ 14

The number of blue beads, b, in a belt is therefore;

10 < g < 14

Minimum number of green beads = $\frac{4}{1 + 4}$ × 70 = 56

Maximum number of green beads = $\frac{6}{1 + 6}$ × 74 ≈ 63

The number of green beads, g, in a belt is therefore;

56

The sum of the beads on each belt = g + b = x

Therefore;

70 < g + b < 74

From the given maximum and minimum ratios, we have;

$\underline{\dfrac{1}{4} \leq \dfrac{b}{g} \leq \dfrac{1}{6}}$

Learn more about inequalities here:

brainly.com/question/371134

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Step-by-step explanation:

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