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2 years ago

PLEASE HELP

Mathematics

1 answer:

shtirl [24]2 years ago

6 0

Answer:

70 m

Step-by-step explanation:

AB makes a 30-60-90 triangle with the wall.

AC makes a 45-45-90 triangle with the wall.

In a 30-60-90 triangle, the short leg (opposite of the 30° angle) is half the hypotenuse.

In a 45-45-90 triangle, the legs are the same length.

So the distance between the left wall and the laser is 60/2 = 30 m.

The distance between the right wall and the laser is 40 m.

The total distance is therefore 70 m.

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shepuryov [24]

Answer:

Step-by-step explanation:

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2 years ago

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gizmo_the_mogwai [7]

Answer:

c=10

Step-by-step explanation:

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c (hypotenuse) = $\sqrt{a^{2} +b^{2} }$

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2 years ago

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If you place a 13-foot ladder against the top of a 12-foot building, how many feet will the bottom of the ladder be from the bot

Degger [83]

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2 years ago

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PLEASE HELP!

Wittaler [7]

Answer:

See below

Step-by-step explanation:

Use the formulae directly

For a cone, with base radius = r and height = h, here are the related formula

$\textrm{Slant height l} = \sqrt{r^2 + h^2}$ (1)

$\textrm{Lateral surface area} = \pi r l$

$\textrm {Base area} = \pi r^2$

$\textrm { Total Surface Area SA} = \textrm{Base Area + Lateral Area} = \pi r^2 + \pi rl = \pi r(r + l)$ (2)

$\textrm{Volume V = } (1/3) \pi r^2h$ (3)

Therefore directly plugging in the numbers in the above equations:

Note:

l = slant height in cm
SA = total surface area in sqcm
V = Volume in cubic cm

Figure(a)

r = 4, h = 8

$\textrm{l} = \sqrt{4^2 + 8^2} =\sqrt{80} = 8.944 \\\textrm{SA} = 4\pi(4 + 8.944) = 4\pi(12.944) = 162.66\\\textrm{V} = (1/3)\pi(4^2)(8) = 134.04$

Figure(b)

r = 7, h =15

$\textrm{l} = \sqrt{7^2 + 15^2} =\sqrt{274} = 16.55$

$\textrm{SA} = 7\pi(7 + 16.55) = 517.89$

Figure (c)

r = 5, l = 8

$h = \sqrt{l^2 - r^2} = \sqrt{8^2 - 5^2} = \sqrt{39} = 6.245\\SA = \textrm{SA} = 5\pi(5 + 8) = 204.2\\V = (1/3)\pi(5^2)(6.245) = 163.5$

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1 year ago

The polynomial p(x) has factors of x-5 and x-8. Which must be correct ?

aleksandrvk [35]

Answer:

Find an answer to your question The polynomial p(x) has factors of x – 5 and x + 8. Which MUST be correct?

Step-by-step explanation:

If x – a is indeed a factor of p(x), then the remainder after division by x – a will be ... the polynomial (courtesy of the Remainder Theorem), but x – a is also a factor ... completed division: 2 2 5 0 7 ... x + 4 is a factor of 5x4 + 16x3 – 15x2 + 8x + 16.

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2 years ago