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3 years ago

34. CONSTRUCTION A construction worker is working on the roof of a

Mathematics

1 answer:

Troyanec [42]3 years ago

6 0

Answer:

t = 6.77 s

Step-by-step explanation:

Given that,

A drop of paint falls from a rafter that is 225 feet above the ground.

We need to find the time when the paint hit the ground. Let the time be t.

Using the second equation of kinematics i.e.

$s=ut+\dfrac{1}{2}at^2$

Where

u = 0 (initial velocity is 0 as it was at rest)

a = g

So,

$225=\dfrac{1}{2}\times 9.8t^2\\\\t=\sqrt{\dfrac{2\times 225}{9.8}} \\\\t=6.77\ s$

So, it will hit the ground at 6.77 s.

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PLEASE HELP!!!! 50 POINTS

Leni [432]

First you need to rewrite the equation in the form y = mx +b:

2y = x-4

Divide all terms by 2:

2y / 2 = x/2 - 4/2

Simplify:

y = 1/2x - 2

The slope of the line is 1/2.

A perpendicular line has a slope of the negative reciprocal, which would be -2.

Now using the point slope method:

y - y1 = m(x-x1)

Using the given point of (8,-4) and m = -2

you get:

y +4 = -2(x-8)

Simplify:

y +4 = -2x +16

Now subtract 4 from both sides to get the final equation:

y = -2x +12

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3 years ago

ASAP AWNSER PLSSS!

Lisa [10]

Answer:

it is 2 spaces away. a positive number from zero would be +2 and a negative number would be -2

Step-by-step explanation:

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2 years ago

Read 2 more answers

A house is built on coordinates (2,9). There is a water pipeline that runs along the line y = 2 3 x – 1. What is the approximate

Basile [38]

Answer:

7.21 units

Step-by-step explanation:

The shortest length needed to connect the house to the existing pipeline is the perpendicular distance between the location of the house (2,9) and the line y = 2/3x - 1.

The perpendicular distance (d) between a point ( $x_1,y_1$ ) and the line Ax + By + C = 0 is given as:

$d=\frac{|Ax_1+By_1+C|}{\sqrt{A^2+B^2} }$

The line is given by y = 2/3 x - 1; 2/3x - y - 1 = 0. The point = (2, 9)

hence A = 2/3, B = -1, C = -1, $x_1=2,y_1=9\\$ . Therefore:

$d=\frac{|\frac{2}{3}(2)+(-1)(9)+(-1) |}{\sqrt{\frac{2}{3}^2+(-1)^2 } } \\\\d=7.21$

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3 years ago

Find the volume of a cylinder with a radius of 4 inches and a height that is three times the radius. Use 3.14 for pi and round y

motikmotik

Answer:

603.19 with pi and 602.88 with 3.14

Step-by-step explanation:

V = pi times r^2 times h

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3 years ago

Part C

BabaBlast [244]

Answer:

The expression from part B is = (1 • 2) • (106 • 10-8).

Multiply the first factors.

1 • 2 = 2

Multiply the powers of 10 using this property of exponents: anam = an + m.

106 • 10-8 = 106 + (-8) = 10-2

The expression is 2 × 10-2.

Step-by-step explanation:

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2 years ago