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arlik [135]
3 years ago
11

The nieces is it a ladder to clean the outside of her second-story windows the lashes is it is 24 feet long and she puts the bas

e of the lead 13 feet away from the house in order to avoid her flower girl that's how high up the side of the house does the Ladder reach

Mathematics
1 answer:
kumpel [21]3 years ago
5 0

Answer: 20 feet

Step-by-step explanation:

in the attachment

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A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed
Archy [21]
Volume of Cylinder
= πr²h
= (3.14)(5)²(16)
= 1256 cm³

Volume of Cone
= 1/3πr²h
= 1/3(3.14)(4)²(12)
= 200.96 cm³

Volume of air space
= Volume of Cylinder - Volume of Cone
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Step-by-step explanation:

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Fittoniya [83]

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2 years ago
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Solve x2 + 14x + 17 = –96 for x
jarptica [38.1K]

For this case we have to:

Given the quadratic equation of the form:

ax ^ 2 + bx + c = 0

The roots are given by:

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}

If we have: x ^ 2 + 14x + 17 = -96

We can rewrite it in the following way:

x ^ 2 + 14x + 17 + 96 = 0\\x ^ 2 + 14x + 113 = 0

Where:

a = 1\\b = 14\\c = 113

Where we have:

x = \frac {-14 \pm \sqrt {(14) ^ 2-4 (1) (113)}} {2 (1)}

x = \frac {-14 \pm \sqrt {(196-452)}} {2}

x = \frac {-14 \pm \sqrt {-256}} {2}

By definition: \sqrt {-1} = i

x = \frac {-14 \pm \sqrt {256} i} {2}

x = \frac {-14 \pm16i} {2}

x = \frac {-14} {2} \pm \frac {16i} {2}

x = -7 \pm8i

Thus, the roots are given by imaginary numbers:

x_ {1} = - 7 + 8i\\x_ {2} = - 7-8i

Answer:

x_ {1} = - 7 + 8i\\x_ {2} = - 7-8i


5 0
3 years ago
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If P = (-2,7), Find:<br> Ry-axis (P)<br> ([?], [])
kumpel [21]

Answer:

(2, 7)

Step-by-step explanation:

R_{\text{y-axis}}(\text{P}) represents the reflection of a point P about the y-axis.

If a point (x, y) is reflected across y-axis, rule for the reflection is,

(x, y) → (-x, y)

If a point (-2, 7) follows the same rule, coordinates of the image point will be,

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8 0
3 years ago
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